1 subroutine etotal(energia)
2 implicit real*8 (a-h,o-z)
7 cMS$ATTRIBUTES C :: proc_proc
12 double precision weights_(n_ene)
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'
25 include 'COMMON.CONTROL'
26 include 'COMMON.TIME1'
28 c print*,"ETOTAL Processor",fg_rank," absolute rank",myrank,
29 c & " nfgtasks",nfgtasks
30 if (nfgtasks.gt.1) then
36 C FG slaves call the following matching MPI_Bcast in ERGASTULUM
37 if (fg_rank.eq.0) then
38 call MPI_Bcast(0,1,MPI_INTEGER,king,FG_COMM,IERROR)
39 c print *,"Processor",myrank," BROADCAST iorder"
40 C FG master sets up the WEIGHTS_ array which will be broadcast to the
41 C FG slaves as WEIGHTS array.
62 C FG Master broadcasts the WEIGHTS_ array
63 call MPI_Bcast(weights_(1),n_ene,
64 & MPI_DOUBLE_PRECISION,king,FG_COMM,IERROR)
66 C FG slaves receive the WEIGHTS array
67 call MPI_Bcast(weights(1),n_ene,
68 & MPI_DOUBLE_PRECISION,king,FG_COMM,IERROR)
90 time_Bcast=time_Bcast+MPI_Wtime()-time00
91 time_Bcastw=time_Bcastw+MPI_Wtime()-time00
92 c call chainbuild_cart
94 c print *,'Processor',myrank,' calling etotal ipot=',ipot
95 c print *,'Processor',myrank,' nnt=',nnt,' nct=',nct
97 c if (modecalc.eq.12.or.modecalc.eq.14) then
98 c call int_from_cart1(.false.)
109 C Compute the side-chain and electrostatic interaction energy
111 goto (101,102,103,104,105,106) ipot
112 C Lennard-Jones potential.
113 101 call elj(evdw,evdw_p,evdw_m)
114 cd print '(a)','Exit ELJ'
116 C Lennard-Jones-Kihara potential (shifted).
117 102 call eljk(evdw,evdw_p,evdw_m)
119 C Berne-Pechukas potential (dilated LJ, angular dependence).
120 103 call ebp(evdw,evdw_p,evdw_m)
122 C Gay-Berne potential (shifted LJ, angular dependence).
123 104 call egb(evdw,evdw_p,evdw_m)
125 C Gay-Berne-Vorobjev potential (shifted LJ, angular dependence).
126 105 call egbv(evdw,evdw_p,evdw_m)
128 C Soft-sphere potential
129 106 call e_softsphere(evdw)
131 C Calculate electrostatic (H-bonding) energy of the main chain.
135 cmc Sep-06: egb takes care of dynamic ss bonds too
137 c if (dyn_ss) call dyn_set_nss
139 c print *,"Processor",myrank," computed USCSC"
150 time_vec=time_vec+MPI_Wtime()-time01
152 time_vec=time_vec+tcpu()-time01
155 c print *,"Processor",myrank," left VEC_AND_DERIV"
158 if (welec.gt.0d0.or.wvdwpp.gt.0d0.or.wel_loc.gt.0d0.or.
159 & wturn3.gt.0d0.or.wturn4.gt.0d0 .or. wcorr.gt.0.0d0
160 & .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.d0
161 & .or. wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0 ) then
163 if (welec.gt.0d0.or.wel_loc.gt.0d0.or.
164 & wturn3.gt.0d0.or.wturn4.gt.0d0 .or. wcorr.gt.0.0d0
165 & .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.d0
166 & .or. wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0 ) then
168 call eelec(ees,evdw1,eel_loc,eello_turn3,eello_turn4)
177 c write (iout,*) "Soft-spheer ELEC potential"
178 call eelec_soft_sphere(ees,evdw1,eel_loc,eello_turn3,
181 c print *,"Processor",myrank," computed UELEC"
183 C Calculate excluded-volume interaction energy between peptide groups
188 call escp(evdw2,evdw2_14)
194 c write (iout,*) "Soft-sphere SCP potential"
195 call escp_soft_sphere(evdw2,evdw2_14)
198 c Calculate the bond-stretching energy
202 C Calculate the disulfide-bridge and other energy and the contributions
203 C from other distance constraints.
204 cd print *,'Calling EHPB'
206 cd print *,'EHPB exitted succesfully.'
208 C Calculate the virtual-bond-angle energy.
210 if (wang.gt.0d0) then
215 c print *,"Processor",myrank," computed UB"
217 C Calculate the SC local energy.
220 c print *,"Processor",myrank," computed USC"
222 C Calculate the virtual-bond torsional energy.
224 cd print *,'nterm=',nterm
226 call etor(etors,edihcnstr)
231 c print *,"Processor",myrank," computed Utor"
233 C 6/23/01 Calculate double-torsional energy
235 if (wtor_d.gt.0) then
240 c print *,"Processor",myrank," computed Utord"
242 C 21/5/07 Calculate local sicdechain correlation energy
244 if (wsccor.gt.0.0d0) then
245 call eback_sc_corr(esccor)
249 c print *,"Processor",myrank," computed Usccorr"
251 C 12/1/95 Multi-body terms
255 if ((wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0
256 & .or. wturn6.gt.0.0d0) .and. ipot.lt.6) then
257 call multibody_eello(ecorr,ecorr5,ecorr6,eturn6,n_corr,n_corr1)
258 cd write(2,*)'multibody_eello n_corr=',n_corr,' n_corr1=',n_corr1,
259 cd &" ecorr",ecorr," ecorr5",ecorr5," ecorr6",ecorr6," eturn6",eturn6
266 if ((wcorr4.eq.0.0d0 .and. wcorr.gt.0.0d0) .and. ipot.lt.6) then
267 call multibody_hb(ecorr,ecorr5,ecorr6,n_corr,n_corr1)
268 cd write (iout,*) "multibody_hb ecorr",ecorr
270 c print *,"Processor",myrank," computed Ucorr"
272 C If performing constraint dynamics, call the constraint energy
273 C after the equilibration time
274 if(usampl.and.totT.gt.eq_time) then
283 time_enecalc=time_enecalc+MPI_Wtime()-time00
285 time_enecalc=time_enecalc+tcpu()-time00
288 c print *,"Processor",myrank," computed Uconstr"
301 energia(2)=evdw2-evdw2_14
318 energia(8)=eello_turn3
319 energia(9)=eello_turn4
326 energia(19)=edihcnstr
328 energia(20)=Uconst+Uconst_back
332 c print *," Processor",myrank," calls SUM_ENERGY"
333 call sum_energy(energia,.true.)
334 if (dyn_ss) call dyn_set_nss
335 c print *," Processor",myrank," left SUM_ENERGY"
338 time_sumene=time_sumene+MPI_Wtime()-time00
340 time_sumene=time_sumene+tcpu()-time00
345 c-------------------------------------------------------------------------------
346 subroutine sum_energy(energia,reduce)
347 implicit real*8 (a-h,o-z)
352 cMS$ATTRIBUTES C :: proc_proc
358 include 'COMMON.SETUP'
359 include 'COMMON.IOUNITS'
360 double precision energia(0:n_ene),enebuff(0:n_ene+1)
361 include 'COMMON.FFIELD'
362 include 'COMMON.DERIV'
363 include 'COMMON.INTERACT'
364 include 'COMMON.SBRIDGE'
365 include 'COMMON.CHAIN'
367 include 'COMMON.CONTROL'
368 include 'COMMON.TIME1'
371 if (nfgtasks.gt.1 .and. reduce) then
373 write (iout,*) "energies before REDUCE"
374 call enerprint(energia)
378 enebuff(i)=energia(i)
381 call MPI_Barrier(FG_COMM,IERR)
382 time_barrier_e=time_barrier_e+MPI_Wtime()-time00
384 call MPI_Reduce(enebuff(0),energia(0),n_ene+1,
385 & MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
387 write (iout,*) "energies after REDUCE"
388 call enerprint(energia)
391 time_Reduce=time_Reduce+MPI_Wtime()-time00
393 if (fg_rank.eq.0) then
396 evdw=energia(22)+wsct*energia(23)
401 evdw2=energia(2)+energia(18)
417 eello_turn3=energia(8)
418 eello_turn4=energia(9)
425 edihcnstr=energia(19)
430 etot=wsc*evdw+wscp*evdw2+welec*ees+wvdwpp*evdw1
431 & +wang*ebe+wtor*etors+wscloc*escloc
432 & +wstrain*ehpb+wcorr*ecorr+wcorr5*ecorr5
433 & +wcorr6*ecorr6+wturn4*eello_turn4+wturn3*eello_turn3
434 & +wturn6*eturn6+wel_loc*eel_loc+edihcnstr+wtor_d*etors_d
435 & +wbond*estr+Uconst+wsccor*esccor
437 etot=wsc*evdw+wscp*evdw2+welec*(ees+evdw1)
438 & +wang*ebe+wtor*etors+wscloc*escloc
439 & +wstrain*ehpb+wcorr*ecorr+wcorr5*ecorr5
440 & +wcorr6*ecorr6+wturn4*eello_turn4+wturn3*eello_turn3
441 & +wturn6*eturn6+wel_loc*eel_loc+edihcnstr+wtor_d*etors_d
442 & +wbond*estr+Uconst+wsccor*esccor
448 if (isnan(etot).ne.0) energia(0)=1.0d+99
450 if (isnan(etot)) energia(0)=1.0d+99
455 idumm=proc_proc(etot,i)
457 call proc_proc(etot,i)
459 if(i.eq.1)energia(0)=1.0d+99
466 c-------------------------------------------------------------------------------
467 subroutine sum_gradient
468 implicit real*8 (a-h,o-z)
473 cMS$ATTRIBUTES C :: proc_proc
479 double precision gradbufc(3,maxres),gradbufx(3,maxres),
480 & glocbuf(4*maxres),gradbufc_sum(3,maxres),gloc_scbuf(3,maxres)
481 include 'COMMON.SETUP'
482 include 'COMMON.IOUNITS'
483 include 'COMMON.FFIELD'
484 include 'COMMON.DERIV'
485 include 'COMMON.INTERACT'
486 include 'COMMON.SBRIDGE'
487 include 'COMMON.CHAIN'
489 include 'COMMON.CONTROL'
490 include 'COMMON.TIME1'
491 include 'COMMON.MAXGRAD'
492 include 'COMMON.SCCOR'
501 write (iout,*) "sum_gradient gvdwc, gvdwx"
503 write (iout,'(i3,3f10.5,5x,3f10.5,5x,3f10.5,5x,3f10.5)')
504 & i,(gvdwx(j,i),j=1,3),(gvdwcT(j,i),j=1,3),(gvdwc(j,i),j=1,3),
505 & (gvdwcT(j,i),j=1,3)
510 C FG slaves call the following matching MPI_Bcast in ERGASTULUM
511 if (nfgtasks.gt.1 .and. fg_rank.eq.0)
512 & call MPI_Bcast(1,1,MPI_INTEGER,king,FG_COMM,IERROR)
515 C 9/29/08 AL Transform parts of gradients in site coordinates to the gradient
516 C in virtual-bond-vector coordinates
519 c write (iout,*) "gel_loc gel_loc_long and gel_loc_loc"
521 c write (iout,'(i5,3f10.5,2x,3f10.5,2x,f10.5)')
522 c & i,(gel_loc(j,i),j=1,3),(gel_loc_long(j,i),j=1,3),gel_loc_loc(i)
524 c write (iout,*) "gel_loc_tur3 gel_loc_turn4"
526 c write (iout,'(i5,3f10.5,2x,f10.5)')
527 c & i,(gcorr4_turn(j,i),j=1,3),gel_loc_turn4(i)
529 write (iout,*) "gradcorr5 gradcorr5_long gradcorr5_loc"
531 write (iout,'(i3,3f10.5,5x,3f10.5,5x,f10.5)')
532 & i,(gradcorr5(j,i),j=1,3),(gradcorr5_long(j,i),j=1,3),
541 gradbufc(j,i)=wsc*gvdwc(j,i)+wsc*wscT*gvdwcT(j,i)+
542 & wscp*(gvdwc_scp(j,i)+gvdwc_scpp(j,i))+
543 & welec*gelc_long(j,i)+wvdwpp*gvdwpp(j,i)+
544 & wel_loc*gel_loc_long(j,i)+
545 & wcorr*gradcorr_long(j,i)+
546 & wcorr5*gradcorr5_long(j,i)+
547 & wcorr6*gradcorr6_long(j,i)+
548 & wturn6*gcorr6_turn_long(j,i)+
555 gradbufc(j,i)=wsc*gvdwc(j,i)+
556 & wscp*(gvdwc_scp(j,i)+gvdwc_scpp(j,i))+
557 & welec*gelc_long(j,i)+wvdwpp*gvdwpp(j,i)+
558 & wel_loc*gel_loc_long(j,i)+
559 & wcorr*gradcorr_long(j,i)+
560 & wcorr5*gradcorr5_long(j,i)+
561 & wcorr6*gradcorr6_long(j,i)+
562 & wturn6*gcorr6_turn_long(j,i)+
570 gradbufc(j,i)=wsc*gvdwc(j,i)+
571 & wscp*(gvdwc_scp(j,i)+gvdwc_scpp(j,i))+
572 & welec*gelc_long(j,i)+
574 & wel_loc*gel_loc_long(j,i)+
575 & wcorr*gradcorr_long(j,i)+
576 & wcorr5*gradcorr5_long(j,i)+
577 & wcorr6*gradcorr6_long(j,i)+
578 & wturn6*gcorr6_turn_long(j,i)+
584 if (nfgtasks.gt.1) then
587 write (iout,*) "gradbufc before allreduce"
589 write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
595 gradbufc_sum(j,i)=gradbufc(j,i)
598 c call MPI_AllReduce(gradbufc(1,1),gradbufc_sum(1,1),3*nres,
599 c & MPI_DOUBLE_PRECISION,MPI_SUM,FG_COMM,IERR)
600 c time_reduce=time_reduce+MPI_Wtime()-time00
602 c write (iout,*) "gradbufc_sum after allreduce"
604 c write (iout,'(i3,3f10.5)') i,(gradbufc_sum(j,i),j=1,3)
609 c time_allreduce=time_allreduce+MPI_Wtime()-time00
617 write (iout,*) "igrad_start",igrad_start," igrad_end",igrad_end
618 write (iout,*) (i," jgrad_start",jgrad_start(i),
619 & " jgrad_end ",jgrad_end(i),
620 & i=igrad_start,igrad_end)
623 c Obsolete and inefficient code; we can make the effort O(n) and, therefore,
624 c do not parallelize this part.
626 c do i=igrad_start,igrad_end
627 c do j=jgrad_start(i),jgrad_end(i)
629 c gradbufc(k,i)=gradbufc(k,i)+gradbufc_sum(k,j)
634 gradbufc(j,nres-1)=gradbufc_sum(j,nres)
638 gradbufc(j,i)=gradbufc(j,i+1)+gradbufc_sum(j,i+1)
642 write (iout,*) "gradbufc after summing"
644 write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
651 write (iout,*) "gradbufc"
653 write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
659 gradbufc_sum(j,i)=gradbufc(j,i)
664 gradbufc(j,nres-1)=gradbufc_sum(j,nres)
668 gradbufc(j,i)=gradbufc(j,i+1)+gradbufc_sum(j,i+1)
673 c gradbufc(k,i)=0.0d0
677 c gradbufc(k,i)=gradbufc(k,i)+gradbufc(k,j)
682 write (iout,*) "gradbufc after summing"
684 write (iout,'(i3,3f10.5)') i,(gradbufc(j,i),j=1,3)
692 gradbufc(k,nres)=0.0d0
697 gradc(j,i,icg)=gradbufc(j,i)+welec*gelc(j,i)+
698 & wel_loc*gel_loc(j,i)+
699 & 0.5d0*(wscp*gvdwc_scpp(j,i)+
700 & welec*gelc_long(j,i)+wvdwpp*gvdwpp(j,i)+
701 & wel_loc*gel_loc_long(j,i)+
702 & wcorr*gradcorr_long(j,i)+
703 & wcorr5*gradcorr5_long(j,i)+
704 & wcorr6*gradcorr6_long(j,i)+
705 & wturn6*gcorr6_turn_long(j,i))+
707 & wcorr*gradcorr(j,i)+
708 & wturn3*gcorr3_turn(j,i)+
709 & wturn4*gcorr4_turn(j,i)+
710 & wcorr5*gradcorr5(j,i)+
711 & wcorr6*gradcorr6(j,i)+
712 & wturn6*gcorr6_turn(j,i)+
713 & wsccor*gsccorc(j,i)
714 & +wscloc*gscloc(j,i)
716 gradc(j,i,icg)=gradbufc(j,i)+welec*gelc(j,i)+
717 & wel_loc*gel_loc(j,i)+
718 & 0.5d0*(wscp*gvdwc_scpp(j,i)+
719 & welec*gelc_long(j,i)+
720 & wel_loc*gel_loc_long(j,i)+
721 & wcorr*gcorr_long(j,i)+
722 & wcorr5*gradcorr5_long(j,i)+
723 & wcorr6*gradcorr6_long(j,i)+
724 & wturn6*gcorr6_turn_long(j,i))+
726 & wcorr*gradcorr(j,i)+
727 & wturn3*gcorr3_turn(j,i)+
728 & wturn4*gcorr4_turn(j,i)+
729 & wcorr5*gradcorr5(j,i)+
730 & wcorr6*gradcorr6(j,i)+
731 & wturn6*gcorr6_turn(j,i)+
732 & wsccor*gsccorc(j,i)
733 & +wscloc*gscloc(j,i)
736 gradx(j,i,icg)=wsc*gvdwx(j,i)+wsc*wscT*gvdwxT(j,i)+
737 & wscp*gradx_scp(j,i)+
739 & wstrain*ghpbx(j,i)+wcorr*gradxorr(j,i)+
740 & wsccor*gsccorx(j,i)
741 & +wscloc*gsclocx(j,i)
743 gradx(j,i,icg)=wsc*gvdwx(j,i)+wscp*gradx_scp(j,i)+
745 & wstrain*ghpbx(j,i)+wcorr*gradxorr(j,i)+
746 & wsccor*gsccorx(j,i)
747 & +wscloc*gsclocx(j,i)
752 write (iout,*) "gloc before adding corr"
754 write (iout,*) i,gloc(i,icg)
758 gloc(i,icg)=gloc(i,icg)+wcorr*gcorr_loc(i)
759 & +wcorr5*g_corr5_loc(i)
760 & +wcorr6*g_corr6_loc(i)
761 & +wturn4*gel_loc_turn4(i)
762 & +wturn3*gel_loc_turn3(i)
763 & +wturn6*gel_loc_turn6(i)
764 & +wel_loc*gel_loc_loc(i)
767 write (iout,*) "gloc after adding corr"
769 write (iout,*) i,gloc(i,icg)
773 if (nfgtasks.gt.1) then
776 gradbufc(j,i)=gradc(j,i,icg)
777 gradbufx(j,i)=gradx(j,i,icg)
781 glocbuf(i)=gloc(i,icg)
784 write (iout,*) "gloc_sc before reduce"
787 write (iout,*) i,j,gloc_sc(j,i,icg)
793 gloc_scbuf(j,i)=gloc_sc(j,i,icg)
797 call MPI_Barrier(FG_COMM,IERR)
798 time_barrier_g=time_barrier_g+MPI_Wtime()-time00
800 call MPI_Reduce(gradbufc(1,1),gradc(1,1,icg),3*nres,
801 & MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
802 call MPI_Reduce(gradbufx(1,1),gradx(1,1,icg),3*nres,
803 & MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
804 call MPI_Reduce(glocbuf(1),gloc(1,icg),4*nres,
805 & MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
806 call MPI_Reduce(gloc_scbuf(1,1),gloc_sc(1,1,icg),3*nres,
807 & MPI_DOUBLE_PRECISION,MPI_SUM,king,FG_COMM,IERR)
808 time_reduce=time_reduce+MPI_Wtime()-time00
810 write (iout,*) "gloc_sc after reduce"
813 write (iout,*) i,j,gloc_sc(j,i,icg)
818 write (iout,*) "gloc after reduce"
820 write (iout,*) i,gloc(i,icg)
825 if (gnorm_check) then
827 c Compute the maximum elements of the gradient
837 gcorr3_turn_max=0.0d0
838 gcorr4_turn_max=0.0d0
841 gcorr6_turn_max=0.0d0
851 gvdwc_norm=dsqrt(scalar(gvdwc(1,i),gvdwc(1,i)))
852 if (gvdwc_norm.gt.gvdwc_max) gvdwc_max=gvdwc_norm
854 gvdwc_norm=dsqrt(scalar(gvdwcT(1,i),gvdwcT(1,i)))
855 if (gvdwc_norm.gt.gvdwc_max) gvdwc_max=gvdwc_norm
857 gvdwc_scp_norm=dsqrt(scalar(gvdwc_scp(1,i),gvdwc_scp(1,i)))
858 if (gvdwc_scp_norm.gt.gvdwc_scp_max)
859 & gvdwc_scp_max=gvdwc_scp_norm
860 gelc_norm=dsqrt(scalar(gelc(1,i),gelc(1,i)))
861 if (gelc_norm.gt.gelc_max) gelc_max=gelc_norm
862 gvdwpp_norm=dsqrt(scalar(gvdwpp(1,i),gvdwpp(1,i)))
863 if (gvdwpp_norm.gt.gvdwpp_max) gvdwpp_max=gvdwpp_norm
864 gradb_norm=dsqrt(scalar(gradb(1,i),gradb(1,i)))
865 if (gradb_norm.gt.gradb_max) gradb_max=gradb_norm
866 ghpbc_norm=dsqrt(scalar(ghpbc(1,i),ghpbc(1,i)))
867 if (ghpbc_norm.gt.ghpbc_max) ghpbc_max=ghpbc_norm
868 gradcorr_norm=dsqrt(scalar(gradcorr(1,i),gradcorr(1,i)))
869 if (gradcorr_norm.gt.gradcorr_max) gradcorr_max=gradcorr_norm
870 gel_loc_norm=dsqrt(scalar(gel_loc(1,i),gel_loc(1,i)))
871 if (gel_loc_norm.gt.gel_loc_max) gel_loc_max=gel_loc_norm
872 gcorr3_turn_norm=dsqrt(scalar(gcorr3_turn(1,i),
874 if (gcorr3_turn_norm.gt.gcorr3_turn_max)
875 & gcorr3_turn_max=gcorr3_turn_norm
876 gcorr4_turn_norm=dsqrt(scalar(gcorr4_turn(1,i),
878 if (gcorr4_turn_norm.gt.gcorr4_turn_max)
879 & gcorr4_turn_max=gcorr4_turn_norm
880 gradcorr5_norm=dsqrt(scalar(gradcorr5(1,i),gradcorr5(1,i)))
881 if (gradcorr5_norm.gt.gradcorr5_max)
882 & gradcorr5_max=gradcorr5_norm
883 gradcorr6_norm=dsqrt(scalar(gradcorr6(1,i),gradcorr6(1,i)))
884 if (gradcorr6_norm.gt.gradcorr6_max) gcorr6_max=gradcorr6_norm
885 gcorr6_turn_norm=dsqrt(scalar(gcorr6_turn(1,i),
887 if (gcorr6_turn_norm.gt.gcorr6_turn_max)
888 & gcorr6_turn_max=gcorr6_turn_norm
889 gsccorr_norm=dsqrt(scalar(gsccorc(1,i),gsccorc(1,i)))
890 if (gsccorr_norm.gt.gsccorr_max) gsccorr_max=gsccorr_norm
891 gscloc_norm=dsqrt(scalar(gscloc(1,i),gscloc(1,i)))
892 if (gscloc_norm.gt.gscloc_max) gscloc_max=gscloc_norm
893 gvdwx_norm=dsqrt(scalar(gvdwx(1,i),gvdwx(1,i)))
894 if (gvdwx_norm.gt.gvdwx_max) gvdwx_max=gvdwx_norm
896 gvdwx_norm=dsqrt(scalar(gvdwxT(1,i),gvdwxT(1,i)))
897 if (gvdwx_norm.gt.gvdwx_max) gvdwx_max=gvdwx_norm
899 gradx_scp_norm=dsqrt(scalar(gradx_scp(1,i),gradx_scp(1,i)))
900 if (gradx_scp_norm.gt.gradx_scp_max)
901 & gradx_scp_max=gradx_scp_norm
902 ghpbx_norm=dsqrt(scalar(ghpbx(1,i),ghpbx(1,i)))
903 if (ghpbx_norm.gt.ghpbx_max) ghpbx_max=ghpbx_norm
904 gradxorr_norm=dsqrt(scalar(gradxorr(1,i),gradxorr(1,i)))
905 if (gradxorr_norm.gt.gradxorr_max) gradxorr_max=gradxorr_norm
906 gsccorrx_norm=dsqrt(scalar(gsccorx(1,i),gsccorx(1,i)))
907 if (gsccorrx_norm.gt.gsccorrx_max) gsccorrx_max=gsccorrx_norm
908 gsclocx_norm=dsqrt(scalar(gsclocx(1,i),gsclocx(1,i)))
909 if (gsclocx_norm.gt.gsclocx_max) gsclocx_max=gsclocx_norm
913 open(istat,file=statname,position="append")
915 open(istat,file=statname,access="append")
917 write (istat,'(1h#,21f10.2)') gvdwc_max,gvdwc_scp_max,
918 & gelc_max,gvdwpp_max,gradb_max,ghpbc_max,
919 & gradcorr_max,gel_loc_max,gcorr3_turn_max,gcorr4_turn_max,
920 & gradcorr5_max,gradcorr6_max,gcorr6_turn_max,gsccorc_max,
921 & gscloc_max,gvdwx_max,gradx_scp_max,ghpbx_max,gradxorr_max,
922 & gsccorx_max,gsclocx_max
924 if (gvdwc_max.gt.1.0d4) then
925 write (iout,*) "gvdwc gvdwx gradb gradbx"
927 write(iout,'(i5,4(3f10.2,5x))') i,(gvdwc(j,i),gvdwx(j,i),
928 & gradb(j,i),gradbx(j,i),j=1,3)
930 call pdbout(0.0d0,'cipiszcze',iout)
936 write (iout,*) "gradc gradx gloc"
938 write (iout,'(i5,3f10.5,5x,3f10.5,5x,f10.5)')
939 & i,(gradc(j,i,icg),j=1,3),(gradx(j,i,icg),j=1,3),gloc(i,icg)
944 time_sumgradient=time_sumgradient+MPI_Wtime()-time01
946 time_sumgradient=time_sumgradient+tcpu()-time01
951 c-------------------------------------------------------------------------------
952 subroutine rescale_weights(t_bath)
953 implicit real*8 (a-h,o-z)
955 include 'COMMON.IOUNITS'
956 include 'COMMON.FFIELD'
957 include 'COMMON.SBRIDGE'
958 double precision kfac /2.4d0/
959 double precision x,x2,x3,x4,x5,licznik /1.12692801104297249644/
961 c facT=2*temp0/(t_bath+temp0)
962 if (rescale_mode.eq.0) then
968 else if (rescale_mode.eq.1) then
969 facT=kfac/(kfac-1.0d0+t_bath/temp0)
970 facT2=kfac**2/(kfac**2-1.0d0+(t_bath/temp0)**2)
971 facT3=kfac**3/(kfac**3-1.0d0+(t_bath/temp0)**3)
972 facT4=kfac**4/(kfac**4-1.0d0+(t_bath/temp0)**4)
973 facT5=kfac**5/(kfac**5-1.0d0+(t_bath/temp0)**5)
974 else if (rescale_mode.eq.2) then
980 facT=licznik/dlog(dexp(x)+dexp(-x))
981 facT2=licznik/dlog(dexp(x2)+dexp(-x2))
982 facT3=licznik/dlog(dexp(x3)+dexp(-x3))
983 facT4=licznik/dlog(dexp(x4)+dexp(-x4))
984 facT5=licznik/dlog(dexp(x5)+dexp(-x5))
986 write (iout,*) "Wrong RESCALE_MODE",rescale_mode
987 write (*,*) "Wrong RESCALE_MODE",rescale_mode
989 call MPI_Finalize(MPI_COMM_WORLD,IERROR)
993 welec=weights(3)*fact
994 wcorr=weights(4)*fact3
995 wcorr5=weights(5)*fact4
996 wcorr6=weights(6)*fact5
997 wel_loc=weights(7)*fact2
998 wturn3=weights(8)*fact2
999 wturn4=weights(9)*fact3
1000 wturn6=weights(10)*fact5
1001 wtor=weights(13)*fact
1002 wtor_d=weights(14)*fact2
1003 wsccor=weights(21)*fact
1006 wsct=(320.0+80.0*dtanh((t_bath-320.0)/80.0))/320.0
1010 C------------------------------------------------------------------------
1011 subroutine enerprint(energia)
1012 implicit real*8 (a-h,o-z)
1013 include 'DIMENSIONS'
1014 include 'COMMON.IOUNITS'
1015 include 'COMMON.FFIELD'
1016 include 'COMMON.SBRIDGE'
1018 double precision energia(0:n_ene)
1021 evdw=energia(22)+wsct*energia(23)
1027 evdw2=energia(2)+energia(18)
1039 eello_turn3=energia(8)
1040 eello_turn4=energia(9)
1041 eello_turn6=energia(10)
1047 edihcnstr=energia(19)
1052 write (iout,10) evdw,wsc,evdw2,wscp,ees,welec,evdw1,wvdwpp,
1053 & estr,wbond,ebe,wang,
1054 & escloc,wscloc,etors,wtor,etors_d,wtor_d,ehpb,wstrain,
1056 & ecorr5,wcorr5,ecorr6,wcorr6,eel_loc,wel_loc,eello_turn3,wturn3,
1057 & eello_turn4,wturn4,eello_turn6,wturn6,esccor,wsccor,
1058 & edihcnstr,ebr*nss,
1060 10 format (/'Virtual-chain energies:'//
1061 & 'EVDW= ',1pE16.6,' WEIGHT=',1pE16.6,' (SC-SC)'/
1062 & 'EVDW2= ',1pE16.6,' WEIGHT=',1pE16.6,' (SC-p)'/
1063 & 'EES= ',1pE16.6,' WEIGHT=',1pE16.6,' (p-p)'/
1064 & 'EVDWPP=',1pE16.6,' WEIGHT=',1pE16.6,' (p-p VDW)'/
1065 & 'ESTR= ',1pE16.6,' WEIGHT=',1pE16.6,' (stretching)'/
1066 & 'EBE= ',1pE16.6,' WEIGHT=',1pE16.6,' (bending)'/
1067 & 'ESC= ',1pE16.6,' WEIGHT=',1pE16.6,' (SC local)'/
1068 & 'ETORS= ',1pE16.6,' WEIGHT=',1pE16.6,' (torsional)'/
1069 & 'ETORSD=',1pE16.6,' WEIGHT=',1pE16.6,' (double torsional)'/
1070 & 'EHPB= ',1pE16.6,' WEIGHT=',1pE16.6,
1071 & ' (SS bridges & dist. cnstr.)'/
1072 & 'ECORR4=',1pE16.6,' WEIGHT=',1pE16.6,' (multi-body)'/
1073 & 'ECORR5=',1pE16.6,' WEIGHT=',1pE16.6,' (multi-body)'/
1074 & 'ECORR6=',1pE16.6,' WEIGHT=',1pE16.6,' (multi-body)'/
1075 & 'EELLO= ',1pE16.6,' WEIGHT=',1pE16.6,' (electrostatic-local)'/
1076 & 'ETURN3=',1pE16.6,' WEIGHT=',1pE16.6,' (turns, 3rd order)'/
1077 & 'ETURN4=',1pE16.6,' WEIGHT=',1pE16.6,' (turns, 4th order)'/
1078 & 'ETURN6=',1pE16.6,' WEIGHT=',1pE16.6,' (turns, 6th order)'/
1079 & 'ESCCOR=',1pE16.6,' WEIGHT=',1pE16.6,' (backbone-rotamer corr)'/
1080 & 'EDIHC= ',1pE16.6,' (dihedral angle constraints)'/
1081 & 'ESS= ',1pE16.6,' (disulfide-bridge intrinsic energy)'/
1082 & 'UCONST= ',1pE16.6,' (Constraint energy)'/
1083 & 'ETOT= ',1pE16.6,' (total)')
1085 write (iout,10) evdw,wsc,evdw2,wscp,ees,welec,
1086 & estr,wbond,ebe,wang,
1087 & escloc,wscloc,etors,wtor,etors_d,wtor_d,ehpb,wstrain,
1089 & ecorr5,wcorr5,ecorr6,wcorr6,eel_loc,wel_loc,eello_turn3,wturn3,
1090 & eello_turn4,wturn4,eello_turn6,wturn6,esccor,wsccro,edihcnstr,
1091 & ebr*nss,Uconst,etot
1092 10 format (/'Virtual-chain energies:'//
1093 & 'EVDW= ',1pE16.6,' WEIGHT=',1pD16.6,' (SC-SC)'/
1094 & 'EVDW2= ',1pE16.6,' WEIGHT=',1pD16.6,' (SC-p)'/
1095 & 'EES= ',1pE16.6,' WEIGHT=',1pD16.6,' (p-p)'/
1096 & 'ESTR= ',1pE16.6,' WEIGHT=',1pD16.6,' (stretching)'/
1097 & 'EBE= ',1pE16.6,' WEIGHT=',1pD16.6,' (bending)'/
1098 & 'ESC= ',1pE16.6,' WEIGHT=',1pD16.6,' (SC local)'/
1099 & 'ETORS= ',1pE16.6,' WEIGHT=',1pD16.6,' (torsional)'/
1100 & 'ETORSD=',1pE16.6,' WEIGHT=',1pD16.6,' (double torsional)'/
1101 & 'EHBP= ',1pE16.6,' WEIGHT=',1pD16.6,
1102 & ' (SS bridges & dist. cnstr.)'/
1103 & 'ECORR4=',1pE16.6,' WEIGHT=',1pD16.6,' (multi-body)'/
1104 & 'ECORR5=',1pE16.6,' WEIGHT=',1pD16.6,' (multi-body)'/
1105 & 'ECORR6=',1pE16.6,' WEIGHT=',1pD16.6,' (multi-body)'/
1106 & 'EELLO= ',1pE16.6,' WEIGHT=',1pD16.6,' (electrostatic-local)'/
1107 & 'ETURN3=',1pE16.6,' WEIGHT=',1pD16.6,' (turns, 3rd order)'/
1108 & 'ETURN4=',1pE16.6,' WEIGHT=',1pD16.6,' (turns, 4th order)'/
1109 & 'ETURN6=',1pE16.6,' WEIGHT=',1pD16.6,' (turns, 6th order)'/
1110 & 'ESCCOR=',1pE16.6,' WEIGHT=',1pD16.6,' (backbone-rotamer corr)'/
1111 & 'EDIHC= ',1pE16.6,' (dihedral angle constraints)'/
1112 & 'ESS= ',1pE16.6,' (disulfide-bridge intrinsic energy)'/
1113 & 'UCONST=',1pE16.6,' (Constraint energy)'/
1114 & 'ETOT= ',1pE16.6,' (total)')
1118 C-----------------------------------------------------------------------
1119 subroutine elj(evdw,evdw_p,evdw_m)
1121 C This subroutine calculates the interaction energy of nonbonded side chains
1122 C assuming the LJ potential of interaction.
1124 implicit real*8 (a-h,o-z)
1125 include 'DIMENSIONS'
1126 parameter (accur=1.0d-10)
1127 include 'COMMON.GEO'
1128 include 'COMMON.VAR'
1129 include 'COMMON.LOCAL'
1130 include 'COMMON.CHAIN'
1131 include 'COMMON.DERIV'
1132 include 'COMMON.INTERACT'
1133 include 'COMMON.TORSION'
1134 include 'COMMON.SBRIDGE'
1135 include 'COMMON.NAMES'
1136 include 'COMMON.IOUNITS'
1137 include 'COMMON.CONTACTS'
1139 c write(iout,*)'Entering ELJ nnt=',nnt,' nct=',nct,' expon=',expon
1141 do i=iatsc_s,iatsc_e
1150 C Calculate SC interaction energy.
1152 do iint=1,nint_gr(i)
1153 cd write (iout,*) 'i=',i,' iint=',iint,' istart=',istart(i,iint),
1154 cd & 'iend=',iend(i,iint)
1155 do j=istart(i,iint),iend(i,iint)
1160 C Change 12/1/95 to calculate four-body interactions
1161 rij=xj*xj+yj*yj+zj*zj
1163 c write (iout,*)'i=',i,' j=',j,' itypi=',itypi,' itypj=',itypj
1164 eps0ij=eps(itypi,itypj)
1166 e1=fac*fac*aa(itypi,itypj)
1167 e2=fac*bb(itypi,itypj)
1169 cd sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1170 cd epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1171 cd write (iout,'(2(a3,i3,2x),6(1pd12.4)/2(3(1pd12.4),5x)/)')
1172 cd & restyp(itypi),i,restyp(itypj),j,aa(itypi,itypj),
1173 cd & bb(itypi,itypj),1.0D0/dsqrt(rrij),evdwij,epsi,sigm,
1174 cd & (c(k,i),k=1,3),(c(k,j),k=1,3)
1176 if (bb(itypi,itypj).gt.0) then
1177 evdw_p=evdw_p+evdwij
1179 evdw_m=evdw_m+evdwij
1185 C Calculate the components of the gradient in DC and X
1187 fac=-rrij*(e1+evdwij)
1192 if (bb(itypi,itypj).gt.0.0d0) then
1194 gvdwx(k,i)=gvdwx(k,i)-gg(k)
1195 gvdwx(k,j)=gvdwx(k,j)+gg(k)
1196 gvdwc(k,i)=gvdwc(k,i)-gg(k)
1197 gvdwc(k,j)=gvdwc(k,j)+gg(k)
1201 gvdwxT(k,i)=gvdwxT(k,i)-gg(k)
1202 gvdwxT(k,j)=gvdwxT(k,j)+gg(k)
1203 gvdwcT(k,i)=gvdwcT(k,i)-gg(k)
1204 gvdwcT(k,j)=gvdwcT(k,j)+gg(k)
1209 gvdwx(k,i)=gvdwx(k,i)-gg(k)
1210 gvdwx(k,j)=gvdwx(k,j)+gg(k)
1211 gvdwc(k,i)=gvdwc(k,i)-gg(k)
1212 gvdwc(k,j)=gvdwc(k,j)+gg(k)
1217 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
1221 C 12/1/95, revised on 5/20/97
1223 C Calculate the contact function. The ith column of the array JCONT will
1224 C contain the numbers of atoms that make contacts with the atom I (of numbers
1225 C greater than I). The arrays FACONT and GACONT will contain the values of
1226 C the contact function and its derivative.
1228 C Uncomment next line, if the correlation interactions include EVDW explicitly.
1229 c if (j.gt.i+1 .and. evdwij.le.0.0D0) then
1230 C Uncomment next line, if the correlation interactions are contact function only
1231 if (j.gt.i+1.and. eps0ij.gt.0.0D0) then
1233 sigij=sigma(itypi,itypj)
1234 r0ij=rs0(itypi,itypj)
1236 C Check whether the SC's are not too far to make a contact.
1239 call gcont(rij,rcut,1.0d0,0.2d0*rcut,fcont,fprimcont)
1240 C Add a new contact, if the SC's are close enough, but not too close (r<sigma).
1242 if (fcont.gt.0.0D0) then
1243 C If the SC-SC distance if close to sigma, apply spline.
1244 cAdam call gcont(-rij,-1.03d0*sigij,2.0d0*sigij,1.0d0,
1245 cAdam & fcont1,fprimcont1)
1246 cAdam fcont1=1.0d0-fcont1
1247 cAdam if (fcont1.gt.0.0d0) then
1248 cAdam fprimcont=fprimcont*fcont1+fcont*fprimcont1
1249 cAdam fcont=fcont*fcont1
1251 C Uncomment following 4 lines to have the geometric average of the epsilon0's
1252 cga eps0ij=1.0d0/dsqrt(eps0ij)
1254 cga gg(k)=gg(k)*eps0ij
1256 cga eps0ij=-evdwij*eps0ij
1257 C Uncomment for AL's type of SC correlation interactions.
1258 cadam eps0ij=-evdwij
1259 num_conti=num_conti+1
1260 jcont(num_conti,i)=j
1261 facont(num_conti,i)=fcont*eps0ij
1262 fprimcont=eps0ij*fprimcont/rij
1264 cAdam gacont(1,num_conti,i)=-fprimcont*xj+fcont*gg(1)
1265 cAdam gacont(2,num_conti,i)=-fprimcont*yj+fcont*gg(2)
1266 cAdam gacont(3,num_conti,i)=-fprimcont*zj+fcont*gg(3)
1267 C Uncomment following 3 lines for Skolnick's type of SC correlation.
1268 gacont(1,num_conti,i)=-fprimcont*xj
1269 gacont(2,num_conti,i)=-fprimcont*yj
1270 gacont(3,num_conti,i)=-fprimcont*zj
1271 cd write (iout,'(2i5,2f10.5)') i,j,rij,facont(num_conti,i)
1272 cd write (iout,'(2i3,3f10.5)')
1273 cd & i,j,(gacont(kk,num_conti,i),kk=1,3)
1279 num_cont(i)=num_conti
1283 gvdwc(j,i)=expon*gvdwc(j,i)
1284 gvdwx(j,i)=expon*gvdwx(j,i)
1287 C******************************************************************************
1291 C To save time, the factor of EXPON has been extracted from ALL components
1292 C of GVDWC and GRADX. Remember to multiply them by this factor before further
1295 C******************************************************************************
1298 C-----------------------------------------------------------------------------
1299 subroutine eljk(evdw,evdw_p,evdw_m)
1301 C This subroutine calculates the interaction energy of nonbonded side chains
1302 C assuming the LJK potential of interaction.
1304 implicit real*8 (a-h,o-z)
1305 include 'DIMENSIONS'
1306 include 'COMMON.GEO'
1307 include 'COMMON.VAR'
1308 include 'COMMON.LOCAL'
1309 include 'COMMON.CHAIN'
1310 include 'COMMON.DERIV'
1311 include 'COMMON.INTERACT'
1312 include 'COMMON.IOUNITS'
1313 include 'COMMON.NAMES'
1316 c print *,'Entering ELJK nnt=',nnt,' nct=',nct,' expon=',expon
1318 do i=iatsc_s,iatsc_e
1325 C Calculate SC interaction energy.
1327 do iint=1,nint_gr(i)
1328 do j=istart(i,iint),iend(i,iint)
1333 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1334 fac_augm=rrij**expon
1335 e_augm=augm(itypi,itypj)*fac_augm
1336 r_inv_ij=dsqrt(rrij)
1338 r_shift_inv=1.0D0/(rij+r0(itypi,itypj)-sigma(itypi,itypj))
1339 fac=r_shift_inv**expon
1340 e1=fac*fac*aa(itypi,itypj)
1341 e2=fac*bb(itypi,itypj)
1343 cd sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1344 cd epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1345 cd write (iout,'(2(a3,i3,2x),8(1pd12.4)/2(3(1pd12.4),5x)/)')
1346 cd & restyp(itypi),i,restyp(itypj),j,aa(itypi,itypj),
1347 cd & bb(itypi,itypj),augm(itypi,itypj),epsi,sigm,
1348 cd & sigma(itypi,itypj),1.0D0/dsqrt(rrij),evdwij,
1349 cd & (c(k,i),k=1,3),(c(k,j),k=1,3)
1351 if (bb(itypi,itypj).gt.0) then
1352 evdw_p=evdw_p+evdwij
1354 evdw_m=evdw_m+evdwij
1360 C Calculate the components of the gradient in DC and X
1362 fac=-2.0D0*rrij*e_augm-r_inv_ij*r_shift_inv*(e1+e1+e2)
1367 if (bb(itypi,itypj).gt.0.0d0) then
1369 gvdwx(k,i)=gvdwx(k,i)-gg(k)
1370 gvdwx(k,j)=gvdwx(k,j)+gg(k)
1371 gvdwc(k,i)=gvdwc(k,i)-gg(k)
1372 gvdwc(k,j)=gvdwc(k,j)+gg(k)
1376 gvdwxT(k,i)=gvdwxT(k,i)-gg(k)
1377 gvdwxT(k,j)=gvdwxT(k,j)+gg(k)
1378 gvdwcT(k,i)=gvdwcT(k,i)-gg(k)
1379 gvdwcT(k,j)=gvdwcT(k,j)+gg(k)
1384 gvdwx(k,i)=gvdwx(k,i)-gg(k)
1385 gvdwx(k,j)=gvdwx(k,j)+gg(k)
1386 gvdwc(k,i)=gvdwc(k,i)-gg(k)
1387 gvdwc(k,j)=gvdwc(k,j)+gg(k)
1392 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
1400 gvdwc(j,i)=expon*gvdwc(j,i)
1401 gvdwx(j,i)=expon*gvdwx(j,i)
1406 C-----------------------------------------------------------------------------
1407 subroutine ebp(evdw,evdw_p,evdw_m)
1409 C This subroutine calculates the interaction energy of nonbonded side chains
1410 C assuming the Berne-Pechukas potential of interaction.
1412 implicit real*8 (a-h,o-z)
1413 include 'DIMENSIONS'
1414 include 'COMMON.GEO'
1415 include 'COMMON.VAR'
1416 include 'COMMON.LOCAL'
1417 include 'COMMON.CHAIN'
1418 include 'COMMON.DERIV'
1419 include 'COMMON.NAMES'
1420 include 'COMMON.INTERACT'
1421 include 'COMMON.IOUNITS'
1422 include 'COMMON.CALC'
1423 common /srutu/ icall
1424 c double precision rrsave(maxdim)
1427 c print *,'Entering EBP nnt=',nnt,' nct=',nct,' expon=',expon
1429 c if (icall.eq.0) then
1435 do i=iatsc_s,iatsc_e
1441 dxi=dc_norm(1,nres+i)
1442 dyi=dc_norm(2,nres+i)
1443 dzi=dc_norm(3,nres+i)
1444 c dsci_inv=dsc_inv(itypi)
1445 dsci_inv=vbld_inv(i+nres)
1447 C Calculate SC interaction energy.
1449 do iint=1,nint_gr(i)
1450 do j=istart(i,iint),iend(i,iint)
1453 c dscj_inv=dsc_inv(itypj)
1454 dscj_inv=vbld_inv(j+nres)
1455 chi1=chi(itypi,itypj)
1456 chi2=chi(itypj,itypi)
1463 alf12=0.5D0*(alf1+alf2)
1464 C For diagnostics only!!!
1477 dxj=dc_norm(1,nres+j)
1478 dyj=dc_norm(2,nres+j)
1479 dzj=dc_norm(3,nres+j)
1480 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1481 cd if (icall.eq.0) then
1487 C Calculate the angle-dependent terms of energy & contributions to derivatives.
1489 C Calculate whole angle-dependent part of epsilon and contributions
1490 C to its derivatives
1491 fac=(rrij*sigsq)**expon2
1492 e1=fac*fac*aa(itypi,itypj)
1493 e2=fac*bb(itypi,itypj)
1494 evdwij=eps1*eps2rt*eps3rt*(e1+e2)
1495 eps2der=evdwij*eps3rt
1496 eps3der=evdwij*eps2rt
1497 evdwij=evdwij*eps2rt*eps3rt
1499 if (bb(itypi,itypj).gt.0) then
1500 evdw_p=evdw_p+evdwij
1502 evdw_m=evdw_m+evdwij
1508 sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1509 epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1510 cd write (iout,'(2(a3,i3,2x),15(0pf7.3))')
1511 cd & restyp(itypi),i,restyp(itypj),j,
1512 cd & epsi,sigm,chi1,chi2,chip1,chip2,
1513 cd & eps1,eps2rt**2,eps3rt**2,1.0D0/dsqrt(sigsq),
1514 cd & om1,om2,om12,1.0D0/dsqrt(rrij),
1517 C Calculate gradient components.
1518 e1=e1*eps1*eps2rt**2*eps3rt**2
1519 fac=-expon*(e1+evdwij)
1522 C Calculate radial part of the gradient
1526 C Calculate the angular part of the gradient and sum add the contributions
1527 C to the appropriate components of the Cartesian gradient.
1529 if (bb(itypi,itypj).gt.0) then
1543 C-----------------------------------------------------------------------------
1544 subroutine egb(evdw,evdw_p,evdw_m)
1546 C This subroutine calculates the interaction energy of nonbonded side chains
1547 C assuming the Gay-Berne potential of interaction.
1549 implicit real*8 (a-h,o-z)
1550 include 'DIMENSIONS'
1551 include 'COMMON.GEO'
1552 include 'COMMON.VAR'
1553 include 'COMMON.LOCAL'
1554 include 'COMMON.CHAIN'
1555 include 'COMMON.DERIV'
1556 include 'COMMON.NAMES'
1557 include 'COMMON.INTERACT'
1558 include 'COMMON.IOUNITS'
1559 include 'COMMON.CALC'
1560 include 'COMMON.CONTROL'
1561 include 'COMMON.SBRIDGE'
1564 ccccc energy_dec=.false.
1565 c print *,'Entering EGB nnt=',nnt,' nct=',nct,' expon=',expon
1570 c if (icall.eq.0) lprn=.false.
1572 do i=iatsc_s,iatsc_e
1578 dxi=dc_norm(1,nres+i)
1579 dyi=dc_norm(2,nres+i)
1580 dzi=dc_norm(3,nres+i)
1581 c dsci_inv=dsc_inv(itypi)
1582 dsci_inv=vbld_inv(i+nres)
1583 c write (iout,*) "i",i,dsc_inv(itypi),dsci_inv,1.0d0/vbld(i+nres)
1584 c write (iout,*) "dcnori",dxi*dxi+dyi*dyi+dzi*dzi
1586 C Calculate SC interaction energy.
1588 do iint=1,nint_gr(i)
1589 do j=istart(i,iint),iend(i,iint)
1590 IF (dyn_ss_mask(i).and.dyn_ss_mask(j)) THEN
1591 call dyn_ssbond_ene(i,j,evdwij)
1593 if (energy_dec) write (iout,'(a6,2i5,0pf7.3,a3)')
1594 & 'evdw',i,j,evdwij,' ss'
1598 c dscj_inv=dsc_inv(itypj)
1599 dscj_inv=vbld_inv(j+nres)
1600 c write (iout,*) "j",j,dsc_inv(itypj),dscj_inv,
1601 c & 1.0d0/vbld(j+nres)
1602 c write (iout,*) "i",i," j", j," itype",itype(i),itype(j)
1603 sig0ij=sigma(itypi,itypj)
1604 chi1=chi(itypi,itypj)
1605 chi2=chi(itypj,itypi)
1612 alf12=0.5D0*(alf1+alf2)
1613 C For diagnostics only!!!
1626 dxj=dc_norm(1,nres+j)
1627 dyj=dc_norm(2,nres+j)
1628 dzj=dc_norm(3,nres+j)
1629 c write (iout,*) "dcnorj",dxi*dxi+dyi*dyi+dzi*dzi
1630 c write (iout,*) "j",j," dc_norm",
1631 c & dc_norm(1,nres+j),dc_norm(2,nres+j),dc_norm(3,nres+j)
1632 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1634 C Calculate angle-dependent terms of energy and contributions to their
1638 sig=sig0ij*dsqrt(sigsq)
1639 rij_shift=1.0D0/rij-sig+sig0ij
1640 c for diagnostics; uncomment
1641 c rij_shift=1.2*sig0ij
1642 C I hate to put IF's in the loops, but here don't have another choice!!!!
1643 if (rij_shift.le.0.0D0) then
1645 cd write (iout,'(2(a3,i3,2x),17(0pf7.3))')
1646 cd & restyp(itypi),i,restyp(itypj),j,
1647 cd & rij_shift,1.0D0/rij,sig,sig0ij,sigsq,1-dsqrt(sigsq)
1651 c---------------------------------------------------------------
1652 rij_shift=1.0D0/rij_shift
1653 fac=rij_shift**expon
1654 e1=fac*fac*aa(itypi,itypj)
1655 e2=fac*bb(itypi,itypj)
1656 evdwij=eps1*eps2rt*eps3rt*(e1+e2)
1657 eps2der=evdwij*eps3rt
1658 eps3der=evdwij*eps2rt
1659 c write (iout,*) "sigsq",sigsq," sig",sig," eps2rt",eps2rt,
1660 c & " eps3rt",eps3rt," eps1",eps1," e1",e1," e2",e2
1661 evdwij=evdwij*eps2rt*eps3rt
1663 if (bb(itypi,itypj).gt.0) then
1664 evdw_p=evdw_p+evdwij
1666 evdw_m=evdw_m+evdwij
1672 sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1673 epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1674 write (iout,'(2(a3,i3,2x),17(0pf7.3))')
1675 & restyp(itypi),i,restyp(itypj),j,
1676 & epsi,sigm,chi1,chi2,chip1,chip2,
1677 & eps1,eps2rt**2,eps3rt**2,sig,sig0ij,
1678 & om1,om2,om12,1.0D0/rij,1.0D0/rij_shift,
1682 if (energy_dec) then
1683 write (iout,'(a6,2i5,0pf7.3)') 'evdw',i,j,evdwij
1686 C Calculate gradient components.
1687 e1=e1*eps1*eps2rt**2*eps3rt**2
1688 fac=-expon*(e1+evdwij)*rij_shift
1692 C Calculate the radial part of the gradient
1696 C Calculate angular part of the gradient.
1698 if (bb(itypi,itypj).gt.0) then
1710 c write (iout,*) "Number of loop steps in EGB:",ind
1711 cccc energy_dec=.false.
1714 C-----------------------------------------------------------------------------
1715 subroutine egbv(evdw,evdw_p,evdw_m)
1717 C This subroutine calculates the interaction energy of nonbonded side chains
1718 C assuming the Gay-Berne-Vorobjev potential of interaction.
1720 implicit real*8 (a-h,o-z)
1721 include 'DIMENSIONS'
1722 include 'COMMON.GEO'
1723 include 'COMMON.VAR'
1724 include 'COMMON.LOCAL'
1725 include 'COMMON.CHAIN'
1726 include 'COMMON.DERIV'
1727 include 'COMMON.NAMES'
1728 include 'COMMON.INTERACT'
1729 include 'COMMON.IOUNITS'
1730 include 'COMMON.CALC'
1731 common /srutu/ icall
1734 c print *,'Entering EGB nnt=',nnt,' nct=',nct,' expon=',expon
1737 c if (icall.eq.0) lprn=.true.
1739 do i=iatsc_s,iatsc_e
1745 dxi=dc_norm(1,nres+i)
1746 dyi=dc_norm(2,nres+i)
1747 dzi=dc_norm(3,nres+i)
1748 c dsci_inv=dsc_inv(itypi)
1749 dsci_inv=vbld_inv(i+nres)
1751 C Calculate SC interaction energy.
1753 do iint=1,nint_gr(i)
1754 do j=istart(i,iint),iend(i,iint)
1757 c dscj_inv=dsc_inv(itypj)
1758 dscj_inv=vbld_inv(j+nres)
1759 sig0ij=sigma(itypi,itypj)
1760 r0ij=r0(itypi,itypj)
1761 chi1=chi(itypi,itypj)
1762 chi2=chi(itypj,itypi)
1769 alf12=0.5D0*(alf1+alf2)
1770 C For diagnostics only!!!
1783 dxj=dc_norm(1,nres+j)
1784 dyj=dc_norm(2,nres+j)
1785 dzj=dc_norm(3,nres+j)
1786 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1788 C Calculate angle-dependent terms of energy and contributions to their
1792 sig=sig0ij*dsqrt(sigsq)
1793 rij_shift=1.0D0/rij-sig+r0ij
1794 C I hate to put IF's in the loops, but here don't have another choice!!!!
1795 if (rij_shift.le.0.0D0) then
1800 c---------------------------------------------------------------
1801 rij_shift=1.0D0/rij_shift
1802 fac=rij_shift**expon
1803 e1=fac*fac*aa(itypi,itypj)
1804 e2=fac*bb(itypi,itypj)
1805 evdwij=eps1*eps2rt*eps3rt*(e1+e2)
1806 eps2der=evdwij*eps3rt
1807 eps3der=evdwij*eps2rt
1808 fac_augm=rrij**expon
1809 e_augm=augm(itypi,itypj)*fac_augm
1810 evdwij=evdwij*eps2rt*eps3rt
1812 if (bb(itypi,itypj).gt.0) then
1813 evdw_p=evdw_p+evdwij+e_augm
1815 evdw_m=evdw_m+evdwij+e_augm
1818 evdw=evdw+evdwij+e_augm
1821 sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1822 epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1823 write (iout,'(2(a3,i3,2x),17(0pf7.3))')
1824 & restyp(itypi),i,restyp(itypj),j,
1825 & epsi,sigm,sig,(augm(itypi,itypj)/epsi)**(1.0D0/12.0D0),
1826 & chi1,chi2,chip1,chip2,
1827 & eps1,eps2rt**2,eps3rt**2,
1828 & om1,om2,om12,1.0D0/rij,1.0D0/rij_shift,
1831 C Calculate gradient components.
1832 e1=e1*eps1*eps2rt**2*eps3rt**2
1833 fac=-expon*(e1+evdwij)*rij_shift
1835 fac=rij*fac-2*expon*rrij*e_augm
1836 C Calculate the radial part of the gradient
1840 C Calculate angular part of the gradient.
1842 if (bb(itypi,itypj).gt.0) then
1854 C-----------------------------------------------------------------------------
1855 subroutine sc_angular
1856 C Calculate eps1,eps2,eps3,sigma, and parts of their derivatives in om1,om2,
1857 C om12. Called by ebp, egb, and egbv.
1859 include 'COMMON.CALC'
1860 include 'COMMON.IOUNITS'
1864 om1=dxi*erij(1)+dyi*erij(2)+dzi*erij(3)
1865 om2=dxj*erij(1)+dyj*erij(2)+dzj*erij(3)
1866 om12=dxi*dxj+dyi*dyj+dzi*dzj
1868 C Calculate eps1(om12) and its derivative in om12
1869 faceps1=1.0D0-om12*chiom12
1870 faceps1_inv=1.0D0/faceps1
1871 eps1=dsqrt(faceps1_inv)
1872 C Following variable is eps1*deps1/dom12
1873 eps1_om12=faceps1_inv*chiom12
1878 c write (iout,*) "om12",om12," eps1",eps1
1879 C Calculate sigma(om1,om2,om12) and the derivatives of sigma**2 in om1,om2,
1884 facsig=om1*chiom1+om2*chiom2-2.0D0*om1om2*chiom12
1885 sigsq=1.0D0-facsig*faceps1_inv
1886 sigsq_om1=(chiom1-chiom12*om2)*faceps1_inv
1887 sigsq_om2=(chiom2-chiom12*om1)*faceps1_inv
1888 sigsq_om12=-chi12*(om1om2*faceps1-om12*facsig)*faceps1_inv**2
1894 c write (iout,*) "chiom1",chiom1," chiom2",chiom2," chiom12",chiom12
1895 c write (iout,*) "faceps1",faceps1," faceps1_inv",faceps1_inv,
1897 C Calculate eps2 and its derivatives in om1, om2, and om12.
1900 chipom12=chip12*om12
1901 facp=1.0D0-om12*chipom12
1903 facp1=om1*chipom1+om2*chipom2-2.0D0*om1om2*chipom12
1904 c write (iout,*) "chipom1",chipom1," chipom2",chipom2,
1905 c & " chipom12",chipom12," facp",facp," facp_inv",facp_inv
1906 C Following variable is the square root of eps2
1907 eps2rt=1.0D0-facp1*facp_inv
1908 C Following three variables are the derivatives of the square root of eps
1909 C in om1, om2, and om12.
1910 eps2rt_om1=-4.0D0*(chipom1-chipom12*om2)*facp_inv
1911 eps2rt_om2=-4.0D0*(chipom2-chipom12*om1)*facp_inv
1912 eps2rt_om12=4.0D0*chip12*(om1om2*facp-om12*facp1)*facp_inv**2
1913 C Evaluate the "asymmetric" factor in the VDW constant, eps3
1914 eps3rt=1.0D0-alf1*om1+alf2*om2-alf12*om12
1915 c write (iout,*) "eps2rt",eps2rt," eps3rt",eps3rt
1916 c write (iout,*) "eps2rt_om1",eps2rt_om1," eps2rt_om2",eps2rt_om2,
1917 c & " eps2rt_om12",eps2rt_om12
1918 C Calculate whole angle-dependent part of epsilon and contributions
1919 C to its derivatives
1923 C----------------------------------------------------------------------------
1924 subroutine sc_grad_T
1925 implicit real*8 (a-h,o-z)
1926 include 'DIMENSIONS'
1927 include 'COMMON.CHAIN'
1928 include 'COMMON.DERIV'
1929 include 'COMMON.CALC'
1930 include 'COMMON.IOUNITS'
1931 double precision dcosom1(3),dcosom2(3)
1932 eom1=eps2der*eps2rt_om1-2.0D0*alf1*eps3der+sigder*sigsq_om1
1933 eom2=eps2der*eps2rt_om2+2.0D0*alf2*eps3der+sigder*sigsq_om2
1934 eom12=evdwij*eps1_om12+eps2der*eps2rt_om12
1935 & -2.0D0*alf12*eps3der+sigder*sigsq_om12
1939 c eom12=evdwij*eps1_om12
1941 c write (iout,*) "eps2der",eps2der," eps3der",eps3der,
1942 c & " sigder",sigder
1943 c write (iout,*) "eps1_om12",eps1_om12," eps2rt_om12",eps2rt_om12
1944 c write (iout,*) "eom1",eom1," eom2",eom2," eom12",eom12
1946 dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
1947 dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
1950 gg(k)=gg(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
1952 c write (iout,*) "gg",(gg(k),k=1,3)
1954 gvdwxT(k,i)=gvdwxT(k,i)-gg(k)
1955 & +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
1956 & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
1957 gvdwxT(k,j)=gvdwxT(k,j)+gg(k)
1958 & +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
1959 & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
1960 c write (iout,*)(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
1961 c & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
1962 c write (iout,*)(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
1963 c & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
1966 C Calculate the components of the gradient in DC and X
1970 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
1974 gvdwcT(l,i)=gvdwcT(l,i)-gg(l)
1975 gvdwcT(l,j)=gvdwcT(l,j)+gg(l)
1980 C----------------------------------------------------------------------------
1982 implicit real*8 (a-h,o-z)
1983 include 'DIMENSIONS'
1984 include 'COMMON.CHAIN'
1985 include 'COMMON.DERIV'
1986 include 'COMMON.CALC'
1987 include 'COMMON.IOUNITS'
1988 double precision dcosom1(3),dcosom2(3)
1989 eom1=eps2der*eps2rt_om1-2.0D0*alf1*eps3der+sigder*sigsq_om1
1990 eom2=eps2der*eps2rt_om2+2.0D0*alf2*eps3der+sigder*sigsq_om2
1991 eom12=evdwij*eps1_om12+eps2der*eps2rt_om12
1992 & -2.0D0*alf12*eps3der+sigder*sigsq_om12
1996 c eom12=evdwij*eps1_om12
1998 c write (iout,*) "eps2der",eps2der," eps3der",eps3der,
1999 c & " sigder",sigder
2000 c write (iout,*) "eps1_om12",eps1_om12," eps2rt_om12",eps2rt_om12
2001 c write (iout,*) "eom1",eom1," eom2",eom2," eom12",eom12
2003 dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
2004 dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
2007 gg(k)=gg(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
2009 c write (iout,*) "gg",(gg(k),k=1,3)
2011 gvdwx(k,i)=gvdwx(k,i)-gg(k)
2012 & +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2013 & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2014 gvdwx(k,j)=gvdwx(k,j)+gg(k)
2015 & +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2016 & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2017 c write (iout,*)(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2018 c & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2019 c write (iout,*)(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2020 c & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2023 C Calculate the components of the gradient in DC and X
2027 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
2031 gvdwc(l,i)=gvdwc(l,i)-gg(l)
2032 gvdwc(l,j)=gvdwc(l,j)+gg(l)
2036 C-----------------------------------------------------------------------
2037 subroutine e_softsphere(evdw)
2039 C This subroutine calculates the interaction energy of nonbonded side chains
2040 C assuming the LJ potential of interaction.
2042 implicit real*8 (a-h,o-z)
2043 include 'DIMENSIONS'
2044 parameter (accur=1.0d-10)
2045 include 'COMMON.GEO'
2046 include 'COMMON.VAR'
2047 include 'COMMON.LOCAL'
2048 include 'COMMON.CHAIN'
2049 include 'COMMON.DERIV'
2050 include 'COMMON.INTERACT'
2051 include 'COMMON.TORSION'
2052 include 'COMMON.SBRIDGE'
2053 include 'COMMON.NAMES'
2054 include 'COMMON.IOUNITS'
2055 include 'COMMON.CONTACTS'
2057 cd print *,'Entering Esoft_sphere nnt=',nnt,' nct=',nct
2059 do i=iatsc_s,iatsc_e
2066 C Calculate SC interaction energy.
2068 do iint=1,nint_gr(i)
2069 cd write (iout,*) 'i=',i,' iint=',iint,' istart=',istart(i,iint),
2070 cd & 'iend=',iend(i,iint)
2071 do j=istart(i,iint),iend(i,iint)
2076 rij=xj*xj+yj*yj+zj*zj
2077 c write (iout,*)'i=',i,' j=',j,' itypi=',itypi,' itypj=',itypj
2078 r0ij=r0(itypi,itypj)
2080 c print *,i,j,r0ij,dsqrt(rij)
2081 if (rij.lt.r0ijsq) then
2082 evdwij=0.25d0*(rij-r0ijsq)**2
2090 C Calculate the components of the gradient in DC and X
2096 gvdwx(k,i)=gvdwx(k,i)-gg(k)
2097 gvdwx(k,j)=gvdwx(k,j)+gg(k)
2098 gvdwc(k,i)=gvdwc(k,i)-gg(k)
2099 gvdwc(k,j)=gvdwc(k,j)+gg(k)
2103 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
2111 C--------------------------------------------------------------------------
2112 subroutine eelec_soft_sphere(ees,evdw1,eel_loc,eello_turn3,
2115 C Soft-sphere potential of p-p interaction
2117 implicit real*8 (a-h,o-z)
2118 include 'DIMENSIONS'
2119 include 'COMMON.CONTROL'
2120 include 'COMMON.IOUNITS'
2121 include 'COMMON.GEO'
2122 include 'COMMON.VAR'
2123 include 'COMMON.LOCAL'
2124 include 'COMMON.CHAIN'
2125 include 'COMMON.DERIV'
2126 include 'COMMON.INTERACT'
2127 include 'COMMON.CONTACTS'
2128 include 'COMMON.TORSION'
2129 include 'COMMON.VECTORS'
2130 include 'COMMON.FFIELD'
2132 cd write(iout,*) 'In EELEC_soft_sphere'
2139 do i=iatel_s,iatel_e
2143 xmedi=c(1,i)+0.5d0*dxi
2144 ymedi=c(2,i)+0.5d0*dyi
2145 zmedi=c(3,i)+0.5d0*dzi
2147 c write (iout,*) 'i',i,' ielstart',ielstart(i),' ielend',ielend(i)
2148 do j=ielstart(i),ielend(i)
2152 if (j.eq.i+2 .and. itelj.eq.2) iteli=2
2153 r0ij=rpp(iteli,itelj)
2158 xj=c(1,j)+0.5D0*dxj-xmedi
2159 yj=c(2,j)+0.5D0*dyj-ymedi
2160 zj=c(3,j)+0.5D0*dzj-zmedi
2161 rij=xj*xj+yj*yj+zj*zj
2162 if (rij.lt.r0ijsq) then
2163 evdw1ij=0.25d0*(rij-r0ijsq)**2
2171 C Calculate contributions to the Cartesian gradient.
2177 gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
2178 gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
2181 * Loop over residues i+1 thru j-1.
2185 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
2190 cgrad do i=nnt,nct-1
2192 cgrad gelc(k,i)=gelc(k,i)+0.5d0*gelc(k,i)
2194 cgrad do j=i+1,nct-1
2196 cgrad gelc(k,i)=gelc(k,i)+gelc(k,j)
2202 c------------------------------------------------------------------------------
2203 subroutine vec_and_deriv
2204 implicit real*8 (a-h,o-z)
2205 include 'DIMENSIONS'
2209 include 'COMMON.IOUNITS'
2210 include 'COMMON.GEO'
2211 include 'COMMON.VAR'
2212 include 'COMMON.LOCAL'
2213 include 'COMMON.CHAIN'
2214 include 'COMMON.VECTORS'
2215 include 'COMMON.SETUP'
2216 include 'COMMON.TIME1'
2217 dimension uyder(3,3,2),uzder(3,3,2),vbld_inv_temp(2)
2218 C Compute the local reference systems. For reference system (i), the
2219 C X-axis points from CA(i) to CA(i+1), the Y axis is in the
2220 C CA(i)-CA(i+1)-CA(i+2) plane, and the Z axis is perpendicular to this plane.
2222 do i=ivec_start,ivec_end
2226 if (i.eq.nres-1) then
2227 C Case of the last full residue
2228 C Compute the Z-axis
2229 call vecpr(dc_norm(1,i),dc_norm(1,i-1),uz(1,i))
2230 costh=dcos(pi-theta(nres))
2231 fac=1.0d0/dsqrt(1.0d0-costh*costh)
2235 C Compute the derivatives of uz
2237 uzder(2,1,1)=-dc_norm(3,i-1)
2238 uzder(3,1,1)= dc_norm(2,i-1)
2239 uzder(1,2,1)= dc_norm(3,i-1)
2241 uzder(3,2,1)=-dc_norm(1,i-1)
2242 uzder(1,3,1)=-dc_norm(2,i-1)
2243 uzder(2,3,1)= dc_norm(1,i-1)
2246 uzder(2,1,2)= dc_norm(3,i)
2247 uzder(3,1,2)=-dc_norm(2,i)
2248 uzder(1,2,2)=-dc_norm(3,i)
2250 uzder(3,2,2)= dc_norm(1,i)
2251 uzder(1,3,2)= dc_norm(2,i)
2252 uzder(2,3,2)=-dc_norm(1,i)
2254 C Compute the Y-axis
2257 uy(k,i)=fac*(dc_norm(k,i-1)-costh*dc_norm(k,i))
2259 C Compute the derivatives of uy
2262 uyder(k,j,1)=2*dc_norm(k,i-1)*dc_norm(j,i)
2263 & -dc_norm(k,i)*dc_norm(j,i-1)
2264 uyder(k,j,2)=-dc_norm(j,i)*dc_norm(k,i)
2266 uyder(j,j,1)=uyder(j,j,1)-costh
2267 uyder(j,j,2)=1.0d0+uyder(j,j,2)
2272 uygrad(l,k,j,i)=uyder(l,k,j)
2273 uzgrad(l,k,j,i)=uzder(l,k,j)
2277 call unormderiv(uy(1,i),uyder(1,1,1),facy,uygrad(1,1,1,i))
2278 call unormderiv(uy(1,i),uyder(1,1,2),facy,uygrad(1,1,2,i))
2279 call unormderiv(uz(1,i),uzder(1,1,1),fac,uzgrad(1,1,1,i))
2280 call unormderiv(uz(1,i),uzder(1,1,2),fac,uzgrad(1,1,2,i))
2283 C Compute the Z-axis
2284 call vecpr(dc_norm(1,i),dc_norm(1,i+1),uz(1,i))
2285 costh=dcos(pi-theta(i+2))
2286 fac=1.0d0/dsqrt(1.0d0-costh*costh)
2290 C Compute the derivatives of uz
2292 uzder(2,1,1)=-dc_norm(3,i+1)
2293 uzder(3,1,1)= dc_norm(2,i+1)
2294 uzder(1,2,1)= dc_norm(3,i+1)
2296 uzder(3,2,1)=-dc_norm(1,i+1)
2297 uzder(1,3,1)=-dc_norm(2,i+1)
2298 uzder(2,3,1)= dc_norm(1,i+1)
2301 uzder(2,1,2)= dc_norm(3,i)
2302 uzder(3,1,2)=-dc_norm(2,i)
2303 uzder(1,2,2)=-dc_norm(3,i)
2305 uzder(3,2,2)= dc_norm(1,i)
2306 uzder(1,3,2)= dc_norm(2,i)
2307 uzder(2,3,2)=-dc_norm(1,i)
2309 C Compute the Y-axis
2312 uy(k,i)=facy*(dc_norm(k,i+1)-costh*dc_norm(k,i))
2314 C Compute the derivatives of uy
2317 uyder(k,j,1)=2*dc_norm(k,i+1)*dc_norm(j,i)
2318 & -dc_norm(k,i)*dc_norm(j,i+1)
2319 uyder(k,j,2)=-dc_norm(j,i)*dc_norm(k,i)
2321 uyder(j,j,1)=uyder(j,j,1)-costh
2322 uyder(j,j,2)=1.0d0+uyder(j,j,2)
2327 uygrad(l,k,j,i)=uyder(l,k,j)
2328 uzgrad(l,k,j,i)=uzder(l,k,j)
2332 call unormderiv(uy(1,i),uyder(1,1,1),facy,uygrad(1,1,1,i))
2333 call unormderiv(uy(1,i),uyder(1,1,2),facy,uygrad(1,1,2,i))
2334 call unormderiv(uz(1,i),uzder(1,1,1),fac,uzgrad(1,1,1,i))
2335 call unormderiv(uz(1,i),uzder(1,1,2),fac,uzgrad(1,1,2,i))
2339 vbld_inv_temp(1)=vbld_inv(i+1)
2340 if (i.lt.nres-1) then
2341 vbld_inv_temp(2)=vbld_inv(i+2)
2343 vbld_inv_temp(2)=vbld_inv(i)
2348 uygrad(l,k,j,i)=vbld_inv_temp(j)*uygrad(l,k,j,i)
2349 uzgrad(l,k,j,i)=vbld_inv_temp(j)*uzgrad(l,k,j,i)
2354 #if defined(PARVEC) && defined(MPI)
2355 if (nfgtasks1.gt.1) then
2357 c print *,"Processor",fg_rank1,kolor1," ivec_start",ivec_start,
2358 c & " ivec_displ",(ivec_displ(i),i=0,nfgtasks1-1),
2359 c & " ivec_count",(ivec_count(i),i=0,nfgtasks1-1)
2360 call MPI_Allgatherv(uy(1,ivec_start),ivec_count(fg_rank1),
2361 & MPI_UYZ,uy(1,1),ivec_count(0),ivec_displ(0),MPI_UYZ,
2363 call MPI_Allgatherv(uz(1,ivec_start),ivec_count(fg_rank1),
2364 & MPI_UYZ,uz(1,1),ivec_count(0),ivec_displ(0),MPI_UYZ,
2366 call MPI_Allgatherv(uygrad(1,1,1,ivec_start),
2367 & ivec_count(fg_rank1),MPI_UYZGRAD,uygrad(1,1,1,1),ivec_count(0),
2368 & ivec_displ(0),MPI_UYZGRAD,FG_COMM1,IERR)
2369 call MPI_Allgatherv(uzgrad(1,1,1,ivec_start),
2370 & ivec_count(fg_rank1),MPI_UYZGRAD,uzgrad(1,1,1,1),ivec_count(0),
2371 & ivec_displ(0),MPI_UYZGRAD,FG_COMM1,IERR)
2372 time_gather=time_gather+MPI_Wtime()-time00
2374 c if (fg_rank.eq.0) then
2375 c write (iout,*) "Arrays UY and UZ"
2377 c write (iout,'(i5,3f10.5,5x,3f10.5)') i,(uy(k,i),k=1,3),
2384 C-----------------------------------------------------------------------------
2385 subroutine check_vecgrad
2386 implicit real*8 (a-h,o-z)
2387 include 'DIMENSIONS'
2388 include 'COMMON.IOUNITS'
2389 include 'COMMON.GEO'
2390 include 'COMMON.VAR'
2391 include 'COMMON.LOCAL'
2392 include 'COMMON.CHAIN'
2393 include 'COMMON.VECTORS'
2394 dimension uygradt(3,3,2,maxres),uzgradt(3,3,2,maxres)
2395 dimension uyt(3,maxres),uzt(3,maxres)
2396 dimension uygradn(3,3,2),uzgradn(3,3,2),erij(3)
2397 double precision delta /1.0d-7/
2400 crc write(iout,'(2i5,2(3f10.5,5x))') i,1,dc_norm(:,i)
2401 crc write(iout,'(2i5,2(3f10.5,5x))') i,2,uy(:,i)
2402 crc write(iout,'(2i5,2(3f10.5,5x)/)')i,3,uz(:,i)
2403 cd write(iout,'(2i5,2(3f10.5,5x))') i,1,
2404 cd & (dc_norm(if90,i),if90=1,3)
2405 cd write(iout,'(2i5,2(3f10.5,5x))') i,2,(uy(if90,i),if90=1,3)
2406 cd write(iout,'(2i5,2(3f10.5,5x)/)')i,3,(uz(if90,i),if90=1,3)
2407 cd write(iout,'(a)')
2413 uygradt(l,k,j,i)=uygrad(l,k,j,i)
2414 uzgradt(l,k,j,i)=uzgrad(l,k,j,i)
2427 cd write (iout,*) 'i=',i
2429 erij(k)=dc_norm(k,i)
2433 dc_norm(k,i)=erij(k)
2435 dc_norm(j,i)=dc_norm(j,i)+delta
2436 c fac=dsqrt(scalar(dc_norm(1,i),dc_norm(1,i)))
2438 c dc_norm(k,i)=dc_norm(k,i)/fac
2440 c write (iout,*) (dc_norm(k,i),k=1,3)
2441 c write (iout,*) (erij(k),k=1,3)
2444 uygradn(k,j,1)=(uy(k,i)-uyt(k,i))/delta
2445 uygradn(k,j,2)=(uy(k,i-1)-uyt(k,i-1))/delta
2446 uzgradn(k,j,1)=(uz(k,i)-uzt(k,i))/delta
2447 uzgradn(k,j,2)=(uz(k,i-1)-uzt(k,i-1))/delta
2449 c write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)')
2450 c & j,(uzgradt(k,j,1,i),k=1,3),(uzgradn(k,j,1),k=1,3),
2451 c & (uzgradt(k,j,2,i-1),k=1,3),(uzgradn(k,j,2),k=1,3)
2454 dc_norm(k,i)=erij(k)
2457 cd write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)')
2458 cd & k,(uygradt(k,l,1,i),l=1,3),(uygradn(k,l,1),l=1,3),
2459 cd & (uygradt(k,l,2,i-1),l=1,3),(uygradn(k,l,2),l=1,3)
2460 cd write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)')
2461 cd & k,(uzgradt(k,l,1,i),l=1,3),(uzgradn(k,l,1),l=1,3),
2462 cd & (uzgradt(k,l,2,i-1),l=1,3),(uzgradn(k,l,2),l=1,3)
2463 cd write (iout,'(a)')
2468 C--------------------------------------------------------------------------
2469 subroutine set_matrices
2470 implicit real*8 (a-h,o-z)
2471 include 'DIMENSIONS'
2474 include "COMMON.SETUP"
2476 integer status(MPI_STATUS_SIZE)
2478 include 'COMMON.IOUNITS'
2479 include 'COMMON.GEO'
2480 include 'COMMON.VAR'
2481 include 'COMMON.LOCAL'
2482 include 'COMMON.CHAIN'
2483 include 'COMMON.DERIV'
2484 include 'COMMON.INTERACT'
2485 include 'COMMON.CONTACTS'
2486 include 'COMMON.TORSION'
2487 include 'COMMON.VECTORS'
2488 include 'COMMON.FFIELD'
2489 double precision auxvec(2),auxmat(2,2)
2491 C Compute the virtual-bond-torsional-angle dependent quantities needed
2492 C to calculate the el-loc multibody terms of various order.
2495 do i=ivec_start+2,ivec_end+2
2499 if (i .lt. nres+1) then
2536 if (i .gt. 3 .and. i .lt. nres+1) then
2537 obrot_der(1,i-2)=-sin1
2538 obrot_der(2,i-2)= cos1
2539 Ugder(1,1,i-2)= sin1
2540 Ugder(1,2,i-2)=-cos1
2541 Ugder(2,1,i-2)=-cos1
2542 Ugder(2,2,i-2)=-sin1
2545 obrot2_der(1,i-2)=-dwasin2
2546 obrot2_der(2,i-2)= dwacos2
2547 Ug2der(1,1,i-2)= dwasin2
2548 Ug2der(1,2,i-2)=-dwacos2
2549 Ug2der(2,1,i-2)=-dwacos2
2550 Ug2der(2,2,i-2)=-dwasin2
2552 obrot_der(1,i-2)=0.0d0
2553 obrot_der(2,i-2)=0.0d0
2554 Ugder(1,1,i-2)=0.0d0
2555 Ugder(1,2,i-2)=0.0d0
2556 Ugder(2,1,i-2)=0.0d0
2557 Ugder(2,2,i-2)=0.0d0
2558 obrot2_der(1,i-2)=0.0d0
2559 obrot2_der(2,i-2)=0.0d0
2560 Ug2der(1,1,i-2)=0.0d0
2561 Ug2der(1,2,i-2)=0.0d0
2562 Ug2der(2,1,i-2)=0.0d0
2563 Ug2der(2,2,i-2)=0.0d0
2565 c if (i.gt. iatel_s+2 .and. i.lt.iatel_e+5) then
2566 if (i.gt. nnt+2 .and. i.lt.nct+2) then
2567 iti = itortyp(itype(i-2))
2571 c if (i.gt. iatel_s+1 .and. i.lt.iatel_e+4) then
2572 if (i.gt. nnt+1 .and. i.lt.nct+1) then
2573 iti1 = itortyp(itype(i-1))
2577 cd write (iout,*) '*******i',i,' iti1',iti
2578 cd write (iout,*) 'b1',b1(:,iti)
2579 cd write (iout,*) 'b2',b2(:,iti)
2580 cd write (iout,*) 'Ug',Ug(:,:,i-2)
2581 c if (i .gt. iatel_s+2) then
2582 if (i .gt. nnt+2) then
2583 call matvec2(Ug(1,1,i-2),b2(1,iti),Ub2(1,i-2))
2584 call matmat2(EE(1,1,iti),Ug(1,1,i-2),EUg(1,1,i-2))
2585 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0)
2587 call matmat2(CC(1,1,iti),Ug(1,1,i-2),CUg(1,1,i-2))
2588 call matmat2(DD(1,1,iti),Ug(1,1,i-2),DUg(1,1,i-2))
2589 call matmat2(Dtilde(1,1,iti),Ug2(1,1,i-2),DtUg2(1,1,i-2))
2590 call matvec2(Ctilde(1,1,iti1),obrot(1,i-2),Ctobr(1,i-2))
2591 call matvec2(Dtilde(1,1,iti),obrot2(1,i-2),Dtobr2(1,i-2))
2602 DtUg2(l,k,i-2)=0.0d0
2606 call matvec2(Ugder(1,1,i-2),b2(1,iti),Ub2der(1,i-2))
2607 call matmat2(EE(1,1,iti),Ugder(1,1,i-2),EUgder(1,1,i-2))
2609 muder(k,i-2)=Ub2der(k,i-2)
2611 c if (i.gt. iatel_s+1 .and. i.lt.iatel_e+4) then
2612 if (i.gt. nnt+1 .and. i.lt.nct+1) then
2613 iti1 = itortyp(itype(i-1))
2618 mu(k,i-2)=Ub2(k,i-2)+b1(k,iti1)
2620 cd write (iout,*) 'mu ',mu(:,i-2)
2621 cd write (iout,*) 'mu1',mu1(:,i-2)
2622 cd write (iout,*) 'mu2',mu2(:,i-2)
2623 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.wcorr6.gt.0.0d0)
2625 call matmat2(CC(1,1,iti1),Ugder(1,1,i-2),CUgder(1,1,i-2))
2626 call matmat2(DD(1,1,iti),Ugder(1,1,i-2),DUgder(1,1,i-2))
2627 call matmat2(Dtilde(1,1,iti),Ug2der(1,1,i-2),DtUg2der(1,1,i-2))
2628 call matvec2(Ctilde(1,1,iti1),obrot_der(1,i-2),Ctobrder(1,i-2))
2629 call matvec2(Dtilde(1,1,iti),obrot2_der(1,i-2),Dtobr2der(1,i-2))
2630 C Vectors and matrices dependent on a single virtual-bond dihedral.
2631 call matvec2(DD(1,1,iti),b1tilde(1,iti1),auxvec(1))
2632 call matvec2(Ug2(1,1,i-2),auxvec(1),Ug2Db1t(1,i-2))
2633 call matvec2(Ug2der(1,1,i-2),auxvec(1),Ug2Db1tder(1,i-2))
2634 call matvec2(CC(1,1,iti1),Ub2(1,i-2),CUgb2(1,i-2))
2635 call matvec2(CC(1,1,iti1),Ub2der(1,i-2),CUgb2der(1,i-2))
2636 call matmat2(EUg(1,1,i-2),CC(1,1,iti1),EUgC(1,1,i-2))
2637 call matmat2(EUgder(1,1,i-2),CC(1,1,iti1),EUgCder(1,1,i-2))
2638 call matmat2(EUg(1,1,i-2),DD(1,1,iti1),EUgD(1,1,i-2))
2639 call matmat2(EUgder(1,1,i-2),DD(1,1,iti1),EUgDder(1,1,i-2))
2642 C Matrices dependent on two consecutive virtual-bond dihedrals.
2643 C The order of matrices is from left to right.
2644 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.wcorr6.gt.0.0d0)
2646 c do i=max0(ivec_start,2),ivec_end
2648 call matmat2(DtUg2(1,1,i-1),EUg(1,1,i),DtUg2EUg(1,1,i))
2649 call matmat2(DtUg2der(1,1,i-1),EUg(1,1,i),DtUg2EUgder(1,1,1,i))
2650 call matmat2(DtUg2(1,1,i-1),EUgder(1,1,i),DtUg2EUgder(1,1,2,i))
2651 call transpose2(DtUg2(1,1,i-1),auxmat(1,1))
2652 call matmat2(auxmat(1,1),EUg(1,1,i),Ug2DtEUg(1,1,i))
2653 call matmat2(auxmat(1,1),EUgder(1,1,i),Ug2DtEUgder(1,1,2,i))
2654 call transpose2(DtUg2der(1,1,i-1),auxmat(1,1))
2655 call matmat2(auxmat(1,1),EUg(1,1,i),Ug2DtEUgder(1,1,1,i))
2658 #if defined(MPI) && defined(PARMAT)
2660 c if (fg_rank.eq.0) then
2661 write (iout,*) "Arrays UG and UGDER before GATHER"
2663 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2664 & ((ug(l,k,i),l=1,2),k=1,2),
2665 & ((ugder(l,k,i),l=1,2),k=1,2)
2667 write (iout,*) "Arrays UG2 and UG2DER"
2669 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2670 & ((ug2(l,k,i),l=1,2),k=1,2),
2671 & ((ug2der(l,k,i),l=1,2),k=1,2)
2673 write (iout,*) "Arrays OBROT OBROT2 OBROTDER and OBROT2DER"
2675 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2676 & (obrot(k,i),k=1,2),(obrot2(k,i),k=1,2),
2677 & (obrot_der(k,i),k=1,2),(obrot2_der(k,i),k=1,2)
2679 write (iout,*) "Arrays COSTAB SINTAB COSTAB2 and SINTAB2"
2681 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2682 & costab(i),sintab(i),costab2(i),sintab2(i)
2684 write (iout,*) "Array MUDER"
2686 write (iout,'(i5,2f10.5)') i,muder(1,i),muder(2,i)
2690 if (nfgtasks.gt.1) then
2692 c write(iout,*)"Processor",fg_rank,kolor," ivec_start",ivec_start,
2693 c & " ivec_displ",(ivec_displ(i),i=0,nfgtasks-1),
2694 c & " ivec_count",(ivec_count(i),i=0,nfgtasks-1)
2696 call MPI_Allgatherv(Ub2(1,ivec_start),ivec_count(fg_rank1),
2697 & MPI_MU,Ub2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2699 call MPI_Allgatherv(Ub2der(1,ivec_start),ivec_count(fg_rank1),
2700 & MPI_MU,Ub2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2702 call MPI_Allgatherv(mu(1,ivec_start),ivec_count(fg_rank1),
2703 & MPI_MU,mu(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2705 call MPI_Allgatherv(muder(1,ivec_start),ivec_count(fg_rank1),
2706 & MPI_MU,muder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2708 call MPI_Allgatherv(Eug(1,1,ivec_start),ivec_count(fg_rank1),
2709 & MPI_MAT1,Eug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2711 call MPI_Allgatherv(Eugder(1,1,ivec_start),ivec_count(fg_rank1),
2712 & MPI_MAT1,Eugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2714 call MPI_Allgatherv(costab(ivec_start),ivec_count(fg_rank1),
2715 & MPI_DOUBLE_PRECISION,costab(1),ivec_count(0),ivec_displ(0),
2716 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2717 call MPI_Allgatherv(sintab(ivec_start),ivec_count(fg_rank1),
2718 & MPI_DOUBLE_PRECISION,sintab(1),ivec_count(0),ivec_displ(0),
2719 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2720 call MPI_Allgatherv(costab2(ivec_start),ivec_count(fg_rank1),
2721 & MPI_DOUBLE_PRECISION,costab2(1),ivec_count(0),ivec_displ(0),
2722 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2723 call MPI_Allgatherv(sintab2(ivec_start),ivec_count(fg_rank1),
2724 & MPI_DOUBLE_PRECISION,sintab2(1),ivec_count(0),ivec_displ(0),
2725 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2726 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0)
2728 call MPI_Allgatherv(Ctobr(1,ivec_start),ivec_count(fg_rank1),
2729 & MPI_MU,Ctobr(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2731 call MPI_Allgatherv(Ctobrder(1,ivec_start),ivec_count(fg_rank1),
2732 & MPI_MU,Ctobrder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2734 call MPI_Allgatherv(Dtobr2(1,ivec_start),ivec_count(fg_rank1),
2735 & MPI_MU,Dtobr2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2737 call MPI_Allgatherv(Dtobr2der(1,ivec_start),ivec_count(fg_rank1),
2738 & MPI_MU,Dtobr2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2740 call MPI_Allgatherv(Ug2Db1t(1,ivec_start),ivec_count(fg_rank1),
2741 & MPI_MU,Ug2Db1t(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2743 call MPI_Allgatherv(Ug2Db1tder(1,ivec_start),
2744 & ivec_count(fg_rank1),
2745 & MPI_MU,Ug2Db1tder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2747 call MPI_Allgatherv(CUgb2(1,ivec_start),ivec_count(fg_rank1),
2748 & MPI_MU,CUgb2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2750 call MPI_Allgatherv(CUgb2der(1,ivec_start),ivec_count(fg_rank1),
2751 & MPI_MU,CUgb2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2753 call MPI_Allgatherv(Cug(1,1,ivec_start),ivec_count(fg_rank1),
2754 & MPI_MAT1,Cug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2756 call MPI_Allgatherv(Cugder(1,1,ivec_start),ivec_count(fg_rank1),
2757 & MPI_MAT1,Cugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2759 call MPI_Allgatherv(Dug(1,1,ivec_start),ivec_count(fg_rank1),
2760 & MPI_MAT1,Dug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2762 call MPI_Allgatherv(Dugder(1,1,ivec_start),ivec_count(fg_rank1),
2763 & MPI_MAT1,Dugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2765 call MPI_Allgatherv(Dtug2(1,1,ivec_start),ivec_count(fg_rank1),
2766 & MPI_MAT1,Dtug2(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2768 call MPI_Allgatherv(Dtug2der(1,1,ivec_start),
2769 & ivec_count(fg_rank1),
2770 & MPI_MAT1,Dtug2der(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2772 call MPI_Allgatherv(EugC(1,1,ivec_start),ivec_count(fg_rank1),
2773 & MPI_MAT1,EugC(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2775 call MPI_Allgatherv(EugCder(1,1,ivec_start),ivec_count(fg_rank1),
2776 & MPI_MAT1,EugCder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2778 call MPI_Allgatherv(EugD(1,1,ivec_start),ivec_count(fg_rank1),
2779 & MPI_MAT1,EugD(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2781 call MPI_Allgatherv(EugDder(1,1,ivec_start),ivec_count(fg_rank1),
2782 & MPI_MAT1,EugDder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2784 call MPI_Allgatherv(DtUg2EUg(1,1,ivec_start),
2785 & ivec_count(fg_rank1),
2786 & MPI_MAT1,DtUg2EUg(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2788 call MPI_Allgatherv(Ug2DtEUg(1,1,ivec_start),
2789 & ivec_count(fg_rank1),
2790 & MPI_MAT1,Ug2DtEUg(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2792 call MPI_Allgatherv(DtUg2EUgder(1,1,1,ivec_start),
2793 & ivec_count(fg_rank1),
2794 & MPI_MAT2,DtUg2EUgder(1,1,1,1),ivec_count(0),ivec_displ(0),
2795 & MPI_MAT2,FG_COMM1,IERR)
2796 call MPI_Allgatherv(Ug2DtEUgder(1,1,1,ivec_start),
2797 & ivec_count(fg_rank1),
2798 & MPI_MAT2,Ug2DtEUgder(1,1,1,1),ivec_count(0),ivec_displ(0),
2799 & MPI_MAT2,FG_COMM1,IERR)
2802 c Passes matrix info through the ring
2805 if (irecv.lt.0) irecv=nfgtasks1-1
2808 if (inext.ge.nfgtasks1) inext=0
2810 c write (iout,*) "isend",isend," irecv",irecv
2812 lensend=lentyp(isend)
2813 lenrecv=lentyp(irecv)
2814 c write (iout,*) "lensend",lensend," lenrecv",lenrecv
2815 c call MPI_SENDRECV(ug(1,1,ivec_displ(isend)+1),1,
2816 c & MPI_ROTAT1(lensend),inext,2200+isend,
2817 c & ug(1,1,ivec_displ(irecv)+1),1,MPI_ROTAT1(lenrecv),
2818 c & iprev,2200+irecv,FG_COMM,status,IERR)
2819 c write (iout,*) "Gather ROTAT1"
2821 c call MPI_SENDRECV(obrot(1,ivec_displ(isend)+1),1,
2822 c & MPI_ROTAT2(lensend),inext,3300+isend,
2823 c & obrot(1,ivec_displ(irecv)+1),1,MPI_ROTAT2(lenrecv),
2824 c & iprev,3300+irecv,FG_COMM,status,IERR)
2825 c write (iout,*) "Gather ROTAT2"
2827 call MPI_SENDRECV(costab(ivec_displ(isend)+1),1,
2828 & MPI_ROTAT_OLD(lensend),inext,4400+isend,
2829 & costab(ivec_displ(irecv)+1),1,MPI_ROTAT_OLD(lenrecv),
2830 & iprev,4400+irecv,FG_COMM,status,IERR)
2831 c write (iout,*) "Gather ROTAT_OLD"
2833 call MPI_SENDRECV(mu(1,ivec_displ(isend)+1),1,
2834 & MPI_PRECOMP11(lensend),inext,5500+isend,
2835 & mu(1,ivec_displ(irecv)+1),1,MPI_PRECOMP11(lenrecv),
2836 & iprev,5500+irecv,FG_COMM,status,IERR)
2837 c write (iout,*) "Gather PRECOMP11"
2839 call MPI_SENDRECV(Eug(1,1,ivec_displ(isend)+1),1,
2840 & MPI_PRECOMP12(lensend),inext,6600+isend,
2841 & Eug(1,1,ivec_displ(irecv)+1),1,MPI_PRECOMP12(lenrecv),
2842 & iprev,6600+irecv,FG_COMM,status,IERR)
2843 c write (iout,*) "Gather PRECOMP12"
2845 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0)
2847 call MPI_SENDRECV(ug2db1t(1,ivec_displ(isend)+1),1,
2848 & MPI_ROTAT2(lensend),inext,7700+isend,
2849 & ug2db1t(1,ivec_displ(irecv)+1),1,MPI_ROTAT2(lenrecv),
2850 & iprev,7700+irecv,FG_COMM,status,IERR)
2851 c write (iout,*) "Gather PRECOMP21"
2853 call MPI_SENDRECV(EUgC(1,1,ivec_displ(isend)+1),1,
2854 & MPI_PRECOMP22(lensend),inext,8800+isend,
2855 & EUgC(1,1,ivec_displ(irecv)+1),1,MPI_PRECOMP22(lenrecv),
2856 & iprev,8800+irecv,FG_COMM,status,IERR)
2857 c write (iout,*) "Gather PRECOMP22"
2859 call MPI_SENDRECV(Ug2DtEUgder(1,1,1,ivec_displ(isend)+1),1,
2860 & MPI_PRECOMP23(lensend),inext,9900+isend,
2861 & Ug2DtEUgder(1,1,1,ivec_displ(irecv)+1),1,
2862 & MPI_PRECOMP23(lenrecv),
2863 & iprev,9900+irecv,FG_COMM,status,IERR)
2864 c write (iout,*) "Gather PRECOMP23"
2869 if (irecv.lt.0) irecv=nfgtasks1-1
2872 time_gather=time_gather+MPI_Wtime()-time00
2875 c if (fg_rank.eq.0) then
2876 write (iout,*) "Arrays UG and UGDER"
2878 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2879 & ((ug(l,k,i),l=1,2),k=1,2),
2880 & ((ugder(l,k,i),l=1,2),k=1,2)
2882 write (iout,*) "Arrays UG2 and UG2DER"
2884 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2885 & ((ug2(l,k,i),l=1,2),k=1,2),
2886 & ((ug2der(l,k,i),l=1,2),k=1,2)
2888 write (iout,*) "Arrays OBROT OBROT2 OBROTDER and OBROT2DER"
2890 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2891 & (obrot(k,i),k=1,2),(obrot2(k,i),k=1,2),
2892 & (obrot_der(k,i),k=1,2),(obrot2_der(k,i),k=1,2)
2894 write (iout,*) "Arrays COSTAB SINTAB COSTAB2 and SINTAB2"
2896 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2897 & costab(i),sintab(i),costab2(i),sintab2(i)
2899 write (iout,*) "Array MUDER"
2901 write (iout,'(i5,2f10.5)') i,muder(1,i),muder(2,i)
2907 cd iti = itortyp(itype(i))
2910 cd write (iout,'(2f10.5,5x,2f10.5,5x,2f10.5)')
2911 cd & (EE(j,k,iti),k=1,2),(Ug(j,k,i),k=1,2),(EUg(j,k,i),k=1,2)
2916 C--------------------------------------------------------------------------
2917 subroutine eelec(ees,evdw1,eel_loc,eello_turn3,eello_turn4)
2919 C This subroutine calculates the average interaction energy and its gradient
2920 C in the virtual-bond vectors between non-adjacent peptide groups, based on
2921 C the potential described in Liwo et al., Protein Sci., 1993, 2, 1715.
2922 C The potential depends both on the distance of peptide-group centers and on
2923 C the orientation of the CA-CA virtual bonds.
2925 implicit real*8 (a-h,o-z)
2929 include 'DIMENSIONS'
2930 include 'COMMON.CONTROL'
2931 include 'COMMON.SETUP'
2932 include 'COMMON.IOUNITS'
2933 include 'COMMON.GEO'
2934 include 'COMMON.VAR'
2935 include 'COMMON.LOCAL'
2936 include 'COMMON.CHAIN'
2937 include 'COMMON.DERIV'
2938 include 'COMMON.INTERACT'
2939 include 'COMMON.CONTACTS'
2940 include 'COMMON.TORSION'
2941 include 'COMMON.VECTORS'
2942 include 'COMMON.FFIELD'
2943 include 'COMMON.TIME1'
2944 dimension ggg(3),gggp(3),gggm(3),erij(3),dcosb(3),dcosg(3),
2945 & erder(3,3),uryg(3,3),urzg(3,3),vryg(3,3),vrzg(3,3)
2946 double precision acipa(2,2),agg(3,4),aggi(3,4),aggi1(3,4),
2947 & aggj(3,4),aggj1(3,4),a_temp(2,2),muij(4)
2948 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
2949 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
2951 c 4/26/02 - AL scaling factor for 1,4 repulsive VDW interactions
2953 double precision scal_el /1.0d0/
2955 double precision scal_el /0.5d0/
2958 C 13-go grudnia roku pamietnego...
2959 double precision unmat(3,3) /1.0d0,0.0d0,0.0d0,
2960 & 0.0d0,1.0d0,0.0d0,
2961 & 0.0d0,0.0d0,1.0d0/
2962 cd write(iout,*) 'In EELEC'
2964 cd write(iout,*) 'Type',i
2965 cd write(iout,*) 'B1',B1(:,i)
2966 cd write(iout,*) 'B2',B2(:,i)
2967 cd write(iout,*) 'CC',CC(:,:,i)
2968 cd write(iout,*) 'DD',DD(:,:,i)
2969 cd write(iout,*) 'EE',EE(:,:,i)
2971 cd call check_vecgrad
2973 if (icheckgrad.eq.1) then
2975 fac=1.0d0/dsqrt(scalar(dc(1,i),dc(1,i)))
2977 dc_norm(k,i)=dc(k,i)*fac
2979 c write (iout,*) 'i',i,' fac',fac
2982 if (wel_loc.gt.0.0d0 .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0
2983 & .or. wcorr6.gt.0.0d0 .or. wturn3.gt.0.0d0 .or.
2984 & wturn4.gt.0.0d0 .or. wturn6.gt.0.0d0) then
2985 c call vec_and_deriv
2991 time_mat=time_mat+MPI_Wtime()-time01
2995 cd write (iout,*) 'i=',i
2997 cd write (iout,'(i5,2f10.5)') k,uy(k,i),uz(k,i)
3000 cd write (iout,'(f10.5,2x,3f10.5,2x,3f10.5)')
3001 cd & uz(k,i),(uzgrad(k,l,1,i),l=1,3),(uzgrad(k,l,2,i),l=1,3)
3014 cd print '(a)','Enter EELEC'
3015 cd write (iout,*) 'iatel_s=',iatel_s,' iatel_e=',iatel_e
3017 gel_loc_loc(i)=0.0d0
3022 c 9/27/08 AL Split the interaction loop to ensure load balancing of turn terms
3024 C Loop over i,i+2 and i,i+3 pairs of the peptide groups
3026 do i=iturn3_start,iturn3_end
3027 C if (itype(i).eq.21 .or. itype(i+1).eq.21
3028 C & .or. itype(i+2).eq.21 .or. itype(i+3).eq.21.or.itype(i+4).eq.21)
3033 dx_normi=dc_norm(1,i)
3034 dy_normi=dc_norm(2,i)
3035 dz_normi=dc_norm(3,i)
3036 xmedi=c(1,i)+0.5d0*dxi
3037 ymedi=c(2,i)+0.5d0*dyi
3038 zmedi=c(3,i)+0.5d0*dzi
3040 call eelecij(i,i+2,ees,evdw1,eel_loc)
3041 if (wturn3.gt.0.0d0) call eturn3(i,eello_turn3)
3042 num_cont_hb(i)=num_conti
3044 do i=iturn4_start,iturn4_end
3045 C if (itype(i).eq.21 .or. itype(i+1).eq.21
3046 C & .or. itype(i+2).eq.21 .or. itype(i+3).eq.21.or.itype(i+4).eq.21
3047 C & .or. itype(i+5).eq.21)
3052 dx_normi=dc_norm(1,i)
3053 dy_normi=dc_norm(2,i)
3054 dz_normi=dc_norm(3,i)
3055 xmedi=c(1,i)+0.5d0*dxi
3056 ymedi=c(2,i)+0.5d0*dyi
3057 zmedi=c(3,i)+0.5d0*dzi
3058 num_conti=num_cont_hb(i)
3059 call eelecij(i,i+3,ees,evdw1,eel_loc)
3060 if (wturn4.gt.0.0d0) call eturn4(i,eello_turn4)
3061 num_cont_hb(i)=num_conti
3064 c Loop over all pairs of interacting peptide groups except i,i+2 and i,i+3
3066 do i=iatel_s,iatel_e
3067 C if (itype(i).eq.21 .or. itype(i+1).eq.21
3068 C &.or.itype(i+2)) cycle
3072 dx_normi=dc_norm(1,i)
3073 dy_normi=dc_norm(2,i)
3074 dz_normi=dc_norm(3,i)
3075 xmedi=c(1,i)+0.5d0*dxi
3076 ymedi=c(2,i)+0.5d0*dyi
3077 zmedi=c(3,i)+0.5d0*dzi
3078 c write (iout,*) 'i',i,' ielstart',ielstart(i),' ielend',ielend(i)
3079 num_conti=num_cont_hb(i)
3080 do j=ielstart(i),ielend(i)
3081 C if (itype(j).eq.21 .or. itype(j+1).eq.21
3082 C &.or.itype(j+2)) cycle
3083 call eelecij(i,j,ees,evdw1,eel_loc)
3085 num_cont_hb(i)=num_conti
3087 c write (iout,*) "Number of loop steps in EELEC:",ind
3089 cd write (iout,'(i3,3f10.5,5x,3f10.5)')
3090 cd & i,(gel_loc(k,i),k=1,3),gel_loc_loc(i)
3092 c 12/7/99 Adam eello_turn3 will be considered as a separate energy term
3093 ccc eel_loc=eel_loc+eello_turn3
3094 cd print *,"Processor",fg_rank," t_eelecij",t_eelecij
3097 C-------------------------------------------------------------------------------
3098 subroutine eelecij(i,j,ees,evdw1,eel_loc)
3099 implicit real*8 (a-h,o-z)
3100 include 'DIMENSIONS'
3104 include 'COMMON.CONTROL'
3105 include 'COMMON.IOUNITS'
3106 include 'COMMON.GEO'
3107 include 'COMMON.VAR'
3108 include 'COMMON.LOCAL'
3109 include 'COMMON.CHAIN'
3110 include 'COMMON.DERIV'
3111 include 'COMMON.INTERACT'
3112 include 'COMMON.CONTACTS'
3113 include 'COMMON.TORSION'
3114 include 'COMMON.VECTORS'
3115 include 'COMMON.FFIELD'
3116 include 'COMMON.TIME1'
3117 dimension ggg(3),gggp(3),gggm(3),erij(3),dcosb(3),dcosg(3),
3118 & erder(3,3),uryg(3,3),urzg(3,3),vryg(3,3),vrzg(3,3)
3119 double precision acipa(2,2),agg(3,4),aggi(3,4),aggi1(3,4),
3120 & aggj(3,4),aggj1(3,4),a_temp(2,2),muij(4)
3121 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3122 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3124 c 4/26/02 - AL scaling factor for 1,4 repulsive VDW interactions
3126 double precision scal_el /1.0d0/
3128 double precision scal_el /0.5d0/
3131 C 13-go grudnia roku pamietnego...
3132 double precision unmat(3,3) /1.0d0,0.0d0,0.0d0,
3133 & 0.0d0,1.0d0,0.0d0,
3134 & 0.0d0,0.0d0,1.0d0/
3135 c time00=MPI_Wtime()
3136 cd write (iout,*) "eelecij",i,j
3140 if (j.eq.i+2 .and. itelj.eq.2) iteli=2
3141 aaa=app(iteli,itelj)
3142 bbb=bpp(iteli,itelj)
3143 ael6i=ael6(iteli,itelj)
3144 ael3i=ael3(iteli,itelj)
3148 dx_normj=dc_norm(1,j)
3149 dy_normj=dc_norm(2,j)
3150 dz_normj=dc_norm(3,j)
3151 xj=c(1,j)+0.5D0*dxj-xmedi
3152 yj=c(2,j)+0.5D0*dyj-ymedi
3153 zj=c(3,j)+0.5D0*dzj-zmedi
3154 rij=xj*xj+yj*yj+zj*zj
3160 cosa=dx_normi*dx_normj+dy_normi*dy_normj+dz_normi*dz_normj
3161 cosb=(xj*dx_normi+yj*dy_normi+zj*dz_normi)*rmij
3162 cosg=(xj*dx_normj+yj*dy_normj+zj*dz_normj)*rmij
3163 fac=cosa-3.0D0*cosb*cosg
3165 c 4/26/02 - AL scaling down 1,4 repulsive VDW interactions
3166 if (j.eq.i+2) ev1=scal_el*ev1
3171 el1=fac3*(4.0D0+fac*fac-3.0D0*(cosb*cosb+cosg*cosg))
3174 C 12/26/95 - for the evaluation of multi-body H-bonding interactions
3175 ees0ij=4.0D0+fac*fac-3.0D0*(cosb*cosb+cosg*cosg)
3178 cd write(iout,'(2(2i3,2x),7(1pd12.4)/2(3(1pd12.4),5x)/)')
3179 cd & iteli,i,itelj,j,aaa,bbb,ael6i,ael3i,
3180 cd & 1.0D0/dsqrt(rrmij),evdwij,eesij,
3181 cd & xmedi,ymedi,zmedi,xj,yj,zj
3183 if (energy_dec) then
3184 write (iout,'(a6,2i5,0pf7.3)') 'evdw1',i,j,evdwij
3185 write (iout,'(a6,2i5,0pf7.3)') 'ees',i,j,eesij
3189 C Calculate contributions to the Cartesian gradient.
3192 facvdw=-6*rrmij*(ev1+evdwij)
3193 facel=-3*rrmij*(el1+eesij)
3199 * Radial derivatives. First process both termini of the fragment (i,j)
3205 c ghalf=0.5D0*ggg(k)
3206 c gelc(k,i)=gelc(k,i)+ghalf
3207 c gelc(k,j)=gelc(k,j)+ghalf
3209 c 9/28/08 AL Gradient compotents will be summed only at the end
3211 gelc_long(k,j)=gelc_long(k,j)+ggg(k)
3212 gelc_long(k,i)=gelc_long(k,i)-ggg(k)
3215 * Loop over residues i+1 thru j-1.
3219 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
3226 c ghalf=0.5D0*ggg(k)
3227 c gvdwpp(k,i)=gvdwpp(k,i)+ghalf
3228 c gvdwpp(k,j)=gvdwpp(k,j)+ghalf
3230 c 9/28/08 AL Gradient compotents will be summed only at the end
3232 gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
3233 gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
3236 * Loop over residues i+1 thru j-1.
3240 cgrad gvdwpp(l,k)=gvdwpp(l,k)+ggg(l)
3247 fac=-3*rrmij*(facvdw+facvdw+facel)
3252 * Radial derivatives. First process both termini of the fragment (i,j)
3258 c ghalf=0.5D0*ggg(k)
3259 c gelc(k,i)=gelc(k,i)+ghalf
3260 c gelc(k,j)=gelc(k,j)+ghalf
3262 c 9/28/08 AL Gradient compotents will be summed only at the end
3264 gelc_long(k,j)=gelc(k,j)+ggg(k)
3265 gelc_long(k,i)=gelc(k,i)-ggg(k)
3268 * Loop over residues i+1 thru j-1.
3272 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
3275 c 9/28/08 AL Gradient compotents will be summed only at the end
3280 gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
3281 gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
3287 ecosa=2.0D0*fac3*fac1+fac4
3290 ecosb=(fac3*(fac1*cosg+cosb)+cosg*fac4)
3291 ecosg=(fac3*(fac1*cosb+cosg)+cosb*fac4)
3293 dcosb(k)=rmij*(dc_norm(k,i)-erij(k)*cosb)
3294 dcosg(k)=rmij*(dc_norm(k,j)-erij(k)*cosg)
3296 cd print '(2i3,2(3(1pd14.5),3x))',i,j,(dcosb(k),k=1,3),
3297 cd & (dcosg(k),k=1,3)
3299 ggg(k)=ecosb*dcosb(k)+ecosg*dcosg(k)
3302 c ghalf=0.5D0*ggg(k)
3303 c gelc(k,i)=gelc(k,i)+ghalf
3304 c & +(ecosa*(dc_norm(k,j)-cosa*dc_norm(k,i))
3305 c & + ecosb*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3306 c gelc(k,j)=gelc(k,j)+ghalf
3307 c & +(ecosa*(dc_norm(k,i)-cosa*dc_norm(k,j))
3308 c & + ecosg*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3312 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
3317 & +(ecosa*(dc_norm(k,j)-cosa*dc_norm(k,i))
3318 & + ecosb*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3320 & +(ecosa*(dc_norm(k,i)-cosa*dc_norm(k,j))
3321 & + ecosg*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3322 gelc_long(k,j)=gelc_long(k,j)+ggg(k)
3323 gelc_long(k,i)=gelc_long(k,i)-ggg(k)
3325 IF (wel_loc.gt.0.0d0 .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0
3326 & .or. wcorr6.gt.0.0d0 .or. wturn3.gt.0.0d0
3327 & .or. wturn4.gt.0.0d0 .or. wturn6.gt.0.0d0) THEN
3329 C 9/25/99 Mixed third-order local-electrostatic terms. The local-interaction
3330 C energy of a peptide unit is assumed in the form of a second-order
3331 C Fourier series in the angles lambda1 and lambda2 (see Nishikawa et al.
3332 C Macromolecules, 1974, 7, 797-806 for definition). This correlation terms
3333 C are computed for EVERY pair of non-contiguous peptide groups.
3335 if (j.lt.nres-1) then
3346 muij(kkk)=mu(k,i)*mu(l,j)
3349 cd write (iout,*) 'EELEC: i',i,' j',j
3350 cd write (iout,*) 'j',j,' j1',j1,' j2',j2
3351 cd write(iout,*) 'muij',muij
3352 ury=scalar(uy(1,i),erij)
3353 urz=scalar(uz(1,i),erij)
3354 vry=scalar(uy(1,j),erij)
3355 vrz=scalar(uz(1,j),erij)
3356 a22=scalar(uy(1,i),uy(1,j))-3*ury*vry
3357 a23=scalar(uy(1,i),uz(1,j))-3*ury*vrz
3358 a32=scalar(uz(1,i),uy(1,j))-3*urz*vry
3359 a33=scalar(uz(1,i),uz(1,j))-3*urz*vrz
3360 fac=dsqrt(-ael6i)*r3ij
3365 cd write (iout,'(4i5,4f10.5)')
3366 cd & i,itortyp(itype(i)),j,itortyp(itype(j)),a22,a23,a32,a33
3367 cd write (iout,'(6f10.5)') (muij(k),k=1,4),fac,eel_loc_ij
3368 cd write (iout,'(2(3f10.5,5x)/2(3f10.5,5x))') uy(:,i),uz(:,i),
3369 cd & uy(:,j),uz(:,j)
3370 cd write (iout,'(4f10.5)')
3371 cd & scalar(uy(1,i),uy(1,j)),scalar(uy(1,i),uz(1,j)),
3372 cd & scalar(uz(1,i),uy(1,j)),scalar(uz(1,i),uz(1,j))
3373 cd write (iout,'(4f10.5)') ury,urz,vry,vrz
3374 cd write (iout,'(9f10.5/)')
3375 cd & fac22,a22,fac23,a23,fac32,a32,fac33,a33,eel_loc_ij
3376 C Derivatives of the elements of A in virtual-bond vectors
3377 call unormderiv(erij(1),unmat(1,1),rmij,erder(1,1))
3379 uryg(k,1)=scalar(erder(1,k),uy(1,i))
3380 uryg(k,2)=scalar(uygrad(1,k,1,i),erij(1))
3381 uryg(k,3)=scalar(uygrad(1,k,2,i),erij(1))
3382 urzg(k,1)=scalar(erder(1,k),uz(1,i))
3383 urzg(k,2)=scalar(uzgrad(1,k,1,i),erij(1))
3384 urzg(k,3)=scalar(uzgrad(1,k,2,i),erij(1))
3385 vryg(k,1)=scalar(erder(1,k),uy(1,j))
3386 vryg(k,2)=scalar(uygrad(1,k,1,j),erij(1))
3387 vryg(k,3)=scalar(uygrad(1,k,2,j),erij(1))
3388 vrzg(k,1)=scalar(erder(1,k),uz(1,j))
3389 vrzg(k,2)=scalar(uzgrad(1,k,1,j),erij(1))
3390 vrzg(k,3)=scalar(uzgrad(1,k,2,j),erij(1))
3392 C Compute radial contributions to the gradient
3410 C Add the contributions coming from er
3413 agg(k,1)=agg(k,1)+fac3*(uryg(k,1)*vry+vryg(k,1)*ury)
3414 agg(k,2)=agg(k,2)+fac3*(uryg(k,1)*vrz+vrzg(k,1)*ury)
3415 agg(k,3)=agg(k,3)+fac3*(urzg(k,1)*vry+vryg(k,1)*urz)
3416 agg(k,4)=agg(k,4)+fac3*(urzg(k,1)*vrz+vrzg(k,1)*urz)
3419 C Derivatives in DC(i)
3420 cgrad ghalf1=0.5d0*agg(k,1)
3421 cgrad ghalf2=0.5d0*agg(k,2)
3422 cgrad ghalf3=0.5d0*agg(k,3)
3423 cgrad ghalf4=0.5d0*agg(k,4)
3424 aggi(k,1)=fac*(scalar(uygrad(1,k,1,i),uy(1,j))
3425 & -3.0d0*uryg(k,2)*vry)!+ghalf1
3426 aggi(k,2)=fac*(scalar(uygrad(1,k,1,i),uz(1,j))
3427 & -3.0d0*uryg(k,2)*vrz)!+ghalf2
3428 aggi(k,3)=fac*(scalar(uzgrad(1,k,1,i),uy(1,j))
3429 & -3.0d0*urzg(k,2)*vry)!+ghalf3
3430 aggi(k,4)=fac*(scalar(uzgrad(1,k,1,i),uz(1,j))
3431 & -3.0d0*urzg(k,2)*vrz)!+ghalf4
3432 C Derivatives in DC(i+1)
3433 aggi1(k,1)=fac*(scalar(uygrad(1,k,2,i),uy(1,j))
3434 & -3.0d0*uryg(k,3)*vry)!+agg(k,1)
3435 aggi1(k,2)=fac*(scalar(uygrad(1,k,2,i),uz(1,j))
3436 & -3.0d0*uryg(k,3)*vrz)!+agg(k,2)
3437 aggi1(k,3)=fac*(scalar(uzgrad(1,k,2,i),uy(1,j))
3438 & -3.0d0*urzg(k,3)*vry)!+agg(k,3)
3439 aggi1(k,4)=fac*(scalar(uzgrad(1,k,2,i),uz(1,j))
3440 & -3.0d0*urzg(k,3)*vrz)!+agg(k,4)
3441 C Derivatives in DC(j)
3442 aggj(k,1)=fac*(scalar(uygrad(1,k,1,j),uy(1,i))
3443 & -3.0d0*vryg(k,2)*ury)!+ghalf1
3444 aggj(k,2)=fac*(scalar(uzgrad(1,k,1,j),uy(1,i))
3445 & -3.0d0*vrzg(k,2)*ury)!+ghalf2
3446 aggj(k,3)=fac*(scalar(uygrad(1,k,1,j),uz(1,i))
3447 & -3.0d0*vryg(k,2)*urz)!+ghalf3
3448 aggj(k,4)=fac*(scalar(uzgrad(1,k,1,j),uz(1,i))
3449 & -3.0d0*vrzg(k,2)*urz)!+ghalf4
3450 C Derivatives in DC(j+1) or DC(nres-1)
3451 aggj1(k,1)=fac*(scalar(uygrad(1,k,2,j),uy(1,i))
3452 & -3.0d0*vryg(k,3)*ury)
3453 aggj1(k,2)=fac*(scalar(uzgrad(1,k,2,j),uy(1,i))
3454 & -3.0d0*vrzg(k,3)*ury)
3455 aggj1(k,3)=fac*(scalar(uygrad(1,k,2,j),uz(1,i))
3456 & -3.0d0*vryg(k,3)*urz)
3457 aggj1(k,4)=fac*(scalar(uzgrad(1,k,2,j),uz(1,i))
3458 & -3.0d0*vrzg(k,3)*urz)
3459 cgrad if (j.eq.nres-1 .and. i.lt.j-2) then
3461 cgrad aggj1(k,l)=aggj1(k,l)+agg(k,l)
3474 aggi(k,l)=-aggi(k,l)
3475 aggi1(k,l)=-aggi1(k,l)
3476 aggj(k,l)=-aggj(k,l)
3477 aggj1(k,l)=-aggj1(k,l)
3480 if (j.lt.nres-1) then
3486 aggi(k,l)=-aggi(k,l)
3487 aggi1(k,l)=-aggi1(k,l)
3488 aggj(k,l)=-aggj(k,l)
3489 aggj1(k,l)=-aggj1(k,l)
3500 aggi(k,l)=-aggi(k,l)
3501 aggi1(k,l)=-aggi1(k,l)
3502 aggj(k,l)=-aggj(k,l)
3503 aggj1(k,l)=-aggj1(k,l)
3508 IF (wel_loc.gt.0.0d0) THEN
3509 C Contribution to the local-electrostatic energy coming from the i-j pair
3510 eel_loc_ij=a22*muij(1)+a23*muij(2)+a32*muij(3)
3512 cd write (iout,*) 'i',i,' j',j,' eel_loc_ij',eel_loc_ij
3514 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3515 & 'eelloc',i,j,eel_loc_ij
3517 eel_loc=eel_loc+eel_loc_ij
3518 C Partial derivatives in virtual-bond dihedral angles gamma
3520 & gel_loc_loc(i-1)=gel_loc_loc(i-1)+
3521 & a22*muder(1,i)*mu(1,j)+a23*muder(1,i)*mu(2,j)
3522 & +a32*muder(2,i)*mu(1,j)+a33*muder(2,i)*mu(2,j)
3523 gel_loc_loc(j-1)=gel_loc_loc(j-1)+
3524 & a22*mu(1,i)*muder(1,j)+a23*mu(1,i)*muder(2,j)
3525 & +a32*mu(2,i)*muder(1,j)+a33*mu(2,i)*muder(2,j)
3526 C Derivatives of eello in DC(i+1) thru DC(j-1) or DC(nres-2)
3528 ggg(l)=agg(l,1)*muij(1)+
3529 & agg(l,2)*muij(2)+agg(l,3)*muij(3)+agg(l,4)*muij(4)
3530 gel_loc_long(l,j)=gel_loc_long(l,j)+ggg(l)
3531 gel_loc_long(l,i)=gel_loc_long(l,i)-ggg(l)
3532 cgrad ghalf=0.5d0*ggg(l)
3533 cgrad gel_loc(l,i)=gel_loc(l,i)+ghalf
3534 cgrad gel_loc(l,j)=gel_loc(l,j)+ghalf
3538 cgrad gel_loc(l,k)=gel_loc(l,k)+ggg(l)
3541 C Remaining derivatives of eello
3543 gel_loc(l,i)=gel_loc(l,i)+aggi(l,1)*muij(1)+
3544 & aggi(l,2)*muij(2)+aggi(l,3)*muij(3)+aggi(l,4)*muij(4)
3545 gel_loc(l,i+1)=gel_loc(l,i+1)+aggi1(l,1)*muij(1)+
3546 & aggi1(l,2)*muij(2)+aggi1(l,3)*muij(3)+aggi1(l,4)*muij(4)
3547 gel_loc(l,j)=gel_loc(l,j)+aggj(l,1)*muij(1)+
3548 & aggj(l,2)*muij(2)+aggj(l,3)*muij(3)+aggj(l,4)*muij(4)
3549 gel_loc(l,j1)=gel_loc(l,j1)+aggj1(l,1)*muij(1)+
3550 & aggj1(l,2)*muij(2)+aggj1(l,3)*muij(3)+aggj1(l,4)*muij(4)
3553 C Change 12/26/95 to calculate four-body contributions to H-bonding energy
3554 c if (j.gt.i+1 .and. num_conti.le.maxconts) then
3555 if (wcorr+wcorr4+wcorr5+wcorr6.gt.0.0d0
3556 & .and. num_conti.le.maxconts) then
3557 c write (iout,*) i,j," entered corr"
3559 C Calculate the contact function. The ith column of the array JCONT will
3560 C contain the numbers of atoms that make contacts with the atom I (of numbers
3561 C greater than I). The arrays FACONT and GACONT will contain the values of
3562 C the contact function and its derivative.
3563 c r0ij=1.02D0*rpp(iteli,itelj)
3564 c r0ij=1.11D0*rpp(iteli,itelj)
3565 r0ij=2.20D0*rpp(iteli,itelj)
3566 c r0ij=1.55D0*rpp(iteli,itelj)
3567 call gcont(rij,r0ij,1.0D0,0.2d0*r0ij,fcont,fprimcont)
3568 if (fcont.gt.0.0D0) then
3569 num_conti=num_conti+1
3570 if (num_conti.gt.maxconts) then
3571 write (iout,*) 'WARNING - max. # of contacts exceeded;',
3572 & ' will skip next contacts for this conf.'
3574 jcont_hb(num_conti,i)=j
3575 cd write (iout,*) "i",i," j",j," num_conti",num_conti,
3576 cd & " jcont_hb",jcont_hb(num_conti,i)
3577 IF (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.
3578 & wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0) THEN
3579 C 9/30/99 (AL) - store components necessary to evaluate higher-order loc-el
3581 d_cont(num_conti,i)=rij
3582 cd write (2,'(3e15.5)') rij,r0ij+0.2d0*r0ij,rij
3583 C --- Electrostatic-interaction matrix ---
3584 a_chuj(1,1,num_conti,i)=a22
3585 a_chuj(1,2,num_conti,i)=a23
3586 a_chuj(2,1,num_conti,i)=a32
3587 a_chuj(2,2,num_conti,i)=a33
3588 C --- Gradient of rij
3590 grij_hb_cont(kkk,num_conti,i)=erij(kkk)
3597 a_chuj_der(k,l,m,1,num_conti,i)=agg(m,kkll)
3598 a_chuj_der(k,l,m,2,num_conti,i)=aggi(m,kkll)
3599 a_chuj_der(k,l,m,3,num_conti,i)=aggi1(m,kkll)
3600 a_chuj_der(k,l,m,4,num_conti,i)=aggj(m,kkll)
3601 a_chuj_der(k,l,m,5,num_conti,i)=aggj1(m,kkll)
3606 IF (wcorr4.eq.0.0d0 .and. wcorr.gt.0.0d0) THEN
3607 C Calculate contact energies
3609 wij=cosa-3.0D0*cosb*cosg
3612 c fac3=dsqrt(-ael6i)/r0ij**3
3613 fac3=dsqrt(-ael6i)*r3ij
3614 c ees0pij=dsqrt(4.0D0+cosa4+wij*wij-3.0D0*cosbg1*cosbg1)
3615 ees0tmp=4.0D0+cosa4+wij*wij-3.0D0*cosbg1*cosbg1
3616 if (ees0tmp.gt.0) then
3617 ees0pij=dsqrt(ees0tmp)
3621 c ees0mij=dsqrt(4.0D0-cosa4+wij*wij-3.0D0*cosbg2*cosbg2)
3622 ees0tmp=4.0D0-cosa4+wij*wij-3.0D0*cosbg2*cosbg2
3623 if (ees0tmp.gt.0) then
3624 ees0mij=dsqrt(ees0tmp)
3629 ees0p(num_conti,i)=0.5D0*fac3*(ees0pij+ees0mij)
3630 ees0m(num_conti,i)=0.5D0*fac3*(ees0pij-ees0mij)
3631 C Diagnostics. Comment out or remove after debugging!
3632 c ees0p(num_conti,i)=0.5D0*fac3*ees0pij
3633 c ees0m(num_conti,i)=0.5D0*fac3*ees0mij
3634 c ees0m(num_conti,i)=0.0D0
3636 c write (iout,*) 'i=',i,' j=',j,' rij=',rij,' r0ij=',r0ij,
3637 c & ' ees0ij=',ees0p(num_conti,i),ees0m(num_conti,i),' fcont=',fcont
3638 C Angular derivatives of the contact function
3639 ees0pij1=fac3/ees0pij
3640 ees0mij1=fac3/ees0mij
3641 fac3p=-3.0D0*fac3*rrmij
3642 ees0pijp=0.5D0*fac3p*(ees0pij+ees0mij)
3643 ees0mijp=0.5D0*fac3p*(ees0pij-ees0mij)
3645 ecosa1= ees0pij1*( 1.0D0+0.5D0*wij)
3646 ecosb1=-1.5D0*ees0pij1*(wij*cosg+cosbg1)
3647 ecosg1=-1.5D0*ees0pij1*(wij*cosb+cosbg1)
3648 ecosa2= ees0mij1*(-1.0D0+0.5D0*wij)
3649 ecosb2=-1.5D0*ees0mij1*(wij*cosg+cosbg2)
3650 ecosg2=-1.5D0*ees0mij1*(wij*cosb-cosbg2)
3651 ecosap=ecosa1+ecosa2
3652 ecosbp=ecosb1+ecosb2
3653 ecosgp=ecosg1+ecosg2
3654 ecosam=ecosa1-ecosa2
3655 ecosbm=ecosb1-ecosb2
3656 ecosgm=ecosg1-ecosg2
3665 facont_hb(num_conti,i)=fcont
3666 fprimcont=fprimcont/rij
3667 cd facont_hb(num_conti,i)=1.0D0
3668 C Following line is for diagnostics.
3671 dcosb(k)=rmij*(dc_norm(k,i)-erij(k)*cosb)
3672 dcosg(k)=rmij*(dc_norm(k,j)-erij(k)*cosg)
3675 gggp(k)=ecosbp*dcosb(k)+ecosgp*dcosg(k)
3676 gggm(k)=ecosbm*dcosb(k)+ecosgm*dcosg(k)
3678 gggp(1)=gggp(1)+ees0pijp*xj
3679 gggp(2)=gggp(2)+ees0pijp*yj
3680 gggp(3)=gggp(3)+ees0pijp*zj
3681 gggm(1)=gggm(1)+ees0mijp*xj
3682 gggm(2)=gggm(2)+ees0mijp*yj
3683 gggm(3)=gggm(3)+ees0mijp*zj
3684 C Derivatives due to the contact function
3685 gacont_hbr(1,num_conti,i)=fprimcont*xj
3686 gacont_hbr(2,num_conti,i)=fprimcont*yj
3687 gacont_hbr(3,num_conti,i)=fprimcont*zj
3690 c 10/24/08 cgrad and ! comments indicate the parts of the code removed
3691 c following the change of gradient-summation algorithm.
3693 cgrad ghalfp=0.5D0*gggp(k)
3694 cgrad ghalfm=0.5D0*gggm(k)
3695 gacontp_hb1(k,num_conti,i)=!ghalfp
3696 & +(ecosap*(dc_norm(k,j)-cosa*dc_norm(k,i))
3697 & + ecosbp*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3698 gacontp_hb2(k,num_conti,i)=!ghalfp
3699 & +(ecosap*(dc_norm(k,i)-cosa*dc_norm(k,j))
3700 & + ecosgp*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3701 gacontp_hb3(k,num_conti,i)=gggp(k)
3702 gacontm_hb1(k,num_conti,i)=!ghalfm
3703 & +(ecosam*(dc_norm(k,j)-cosa*dc_norm(k,i))
3704 & + ecosbm*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3705 gacontm_hb2(k,num_conti,i)=!ghalfm
3706 & +(ecosam*(dc_norm(k,i)-cosa*dc_norm(k,j))
3707 & + ecosgm*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3708 gacontm_hb3(k,num_conti,i)=gggm(k)
3710 C Diagnostics. Comment out or remove after debugging!
3712 cdiag gacontp_hb1(k,num_conti,i)=0.0D0
3713 cdiag gacontp_hb2(k,num_conti,i)=0.0D0
3714 cdiag gacontp_hb3(k,num_conti,i)=0.0D0
3715 cdiag gacontm_hb1(k,num_conti,i)=0.0D0
3716 cdiag gacontm_hb2(k,num_conti,i)=0.0D0
3717 cdiag gacontm_hb3(k,num_conti,i)=0.0D0
3720 endif ! num_conti.le.maxconts
3723 if (wturn3.gt.0.0d0 .or. wturn4.gt.0.0d0) then
3726 ghalf=0.5d0*agg(l,k)
3727 aggi(l,k)=aggi(l,k)+ghalf
3728 aggi1(l,k)=aggi1(l,k)+agg(l,k)
3729 aggj(l,k)=aggj(l,k)+ghalf
3732 if (j.eq.nres-1 .and. i.lt.j-2) then
3735 aggj1(l,k)=aggj1(l,k)+agg(l,k)
3740 c t_eelecij=t_eelecij+MPI_Wtime()-time00
3743 C-----------------------------------------------------------------------------
3744 subroutine eturn3(i,eello_turn3)
3745 C Third- and fourth-order contributions from turns
3746 implicit real*8 (a-h,o-z)
3747 include 'DIMENSIONS'
3748 include 'COMMON.IOUNITS'
3749 include 'COMMON.GEO'
3750 include 'COMMON.VAR'
3751 include 'COMMON.LOCAL'
3752 include 'COMMON.CHAIN'
3753 include 'COMMON.DERIV'
3754 include 'COMMON.INTERACT'
3755 include 'COMMON.CONTACTS'
3756 include 'COMMON.TORSION'
3757 include 'COMMON.VECTORS'
3758 include 'COMMON.FFIELD'
3759 include 'COMMON.CONTROL'
3761 double precision auxmat(2,2),auxmat1(2,2),auxmat2(2,2),pizda(2,2),
3762 & e1t(2,2),e2t(2,2),e3t(2,2),e1tder(2,2),e2tder(2,2),e3tder(2,2),
3763 & e1a(2,2),ae3(2,2),ae3e2(2,2),auxvec(2),auxvec1(2)
3764 double precision agg(3,4),aggi(3,4),aggi1(3,4),
3765 & aggj(3,4),aggj1(3,4),a_temp(2,2),auxmat3(2,2)
3766 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3767 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3770 c write (iout,*) "eturn3",i,j,j1,j2
3775 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3777 C Third-order contributions
3784 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3785 cd call checkint_turn3(i,a_temp,eello_turn3_num)
3786 call matmat2(EUg(1,1,i+1),EUg(1,1,i+2),auxmat(1,1))
3787 call transpose2(auxmat(1,1),auxmat1(1,1))
3788 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3789 eello_turn3=eello_turn3+0.5d0*(pizda(1,1)+pizda(2,2))
3790 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3791 & 'eturn3',i,j,0.5d0*(pizda(1,1)+pizda(2,2))
3792 cd write (2,*) 'i,',i,' j',j,'eello_turn3',
3793 cd & 0.5d0*(pizda(1,1)+pizda(2,2)),
3794 cd & ' eello_turn3_num',4*eello_turn3_num
3795 C Derivatives in gamma(i)
3796 call matmat2(EUgder(1,1,i+1),EUg(1,1,i+2),auxmat2(1,1))
3797 call transpose2(auxmat2(1,1),auxmat3(1,1))
3798 call matmat2(a_temp(1,1),auxmat3(1,1),pizda(1,1))
3799 gel_loc_turn3(i)=gel_loc_turn3(i)+0.5d0*(pizda(1,1)+pizda(2,2))
3800 C Derivatives in gamma(i+1)
3801 call matmat2(EUg(1,1,i+1),EUgder(1,1,i+2),auxmat2(1,1))
3802 call transpose2(auxmat2(1,1),auxmat3(1,1))
3803 call matmat2(a_temp(1,1),auxmat3(1,1),pizda(1,1))
3804 gel_loc_turn3(i+1)=gel_loc_turn3(i+1)
3805 & +0.5d0*(pizda(1,1)+pizda(2,2))
3806 C Cartesian derivatives
3808 c ghalf1=0.5d0*agg(l,1)
3809 c ghalf2=0.5d0*agg(l,2)
3810 c ghalf3=0.5d0*agg(l,3)
3811 c ghalf4=0.5d0*agg(l,4)
3812 a_temp(1,1)=aggi(l,1)!+ghalf1
3813 a_temp(1,2)=aggi(l,2)!+ghalf2
3814 a_temp(2,1)=aggi(l,3)!+ghalf3
3815 a_temp(2,2)=aggi(l,4)!+ghalf4
3816 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3817 gcorr3_turn(l,i)=gcorr3_turn(l,i)
3818 & +0.5d0*(pizda(1,1)+pizda(2,2))
3819 a_temp(1,1)=aggi1(l,1)!+agg(l,1)
3820 a_temp(1,2)=aggi1(l,2)!+agg(l,2)
3821 a_temp(2,1)=aggi1(l,3)!+agg(l,3)
3822 a_temp(2,2)=aggi1(l,4)!+agg(l,4)
3823 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3824 gcorr3_turn(l,i+1)=gcorr3_turn(l,i+1)
3825 & +0.5d0*(pizda(1,1)+pizda(2,2))
3826 a_temp(1,1)=aggj(l,1)!+ghalf1
3827 a_temp(1,2)=aggj(l,2)!+ghalf2
3828 a_temp(2,1)=aggj(l,3)!+ghalf3
3829 a_temp(2,2)=aggj(l,4)!+ghalf4
3830 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3831 gcorr3_turn(l,j)=gcorr3_turn(l,j)
3832 & +0.5d0*(pizda(1,1)+pizda(2,2))
3833 a_temp(1,1)=aggj1(l,1)
3834 a_temp(1,2)=aggj1(l,2)
3835 a_temp(2,1)=aggj1(l,3)
3836 a_temp(2,2)=aggj1(l,4)
3837 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3838 gcorr3_turn(l,j1)=gcorr3_turn(l,j1)
3839 & +0.5d0*(pizda(1,1)+pizda(2,2))
3843 C-------------------------------------------------------------------------------
3844 subroutine eturn4(i,eello_turn4)
3845 C Third- and fourth-order contributions from turns
3846 implicit real*8 (a-h,o-z)
3847 include 'DIMENSIONS'
3848 include 'COMMON.IOUNITS'
3849 include 'COMMON.GEO'
3850 include 'COMMON.VAR'
3851 include 'COMMON.LOCAL'
3852 include 'COMMON.CHAIN'
3853 include 'COMMON.DERIV'
3854 include 'COMMON.INTERACT'
3855 include 'COMMON.CONTACTS'
3856 include 'COMMON.TORSION'
3857 include 'COMMON.VECTORS'
3858 include 'COMMON.FFIELD'
3859 include 'COMMON.CONTROL'
3861 double precision auxmat(2,2),auxmat1(2,2),auxmat2(2,2),pizda(2,2),
3862 & e1t(2,2),e2t(2,2),e3t(2,2),e1tder(2,2),e2tder(2,2),e3tder(2,2),
3863 & e1a(2,2),ae3(2,2),ae3e2(2,2),auxvec(2),auxvec1(2)
3864 double precision agg(3,4),aggi(3,4),aggi1(3,4),
3865 & aggj(3,4),aggj1(3,4),a_temp(2,2),auxmat3(2,2)
3866 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3867 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3870 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3872 C Fourth-order contributions
3880 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3881 cd call checkint_turn4(i,a_temp,eello_turn4_num)
3882 c write (iout,*) "eturn4 i",i," j",j," j1",j1," j2",j2
3887 iti1=itortyp(itype(i+1))
3888 iti2=itortyp(itype(i+2))
3889 iti3=itortyp(itype(i+3))
3890 c write(iout,*) "iti1",iti1," iti2",iti2," iti3",iti3
3891 call transpose2(EUg(1,1,i+1),e1t(1,1))
3892 call transpose2(Eug(1,1,i+2),e2t(1,1))
3893 call transpose2(Eug(1,1,i+3),e3t(1,1))
3894 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3895 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3896 s1=scalar2(b1(1,iti2),auxvec(1))
3897 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3898 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3899 s2=scalar2(b1(1,iti1),auxvec(1))
3900 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3901 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3902 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3903 eello_turn4=eello_turn4-(s1+s2+s3)
3904 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3905 & 'eturn4',i,j,-(s1+s2+s3)
3906 cd write (2,*) 'i,',i,' j',j,'eello_turn4',-(s1+s2+s3),
3907 cd & ' eello_turn4_num',8*eello_turn4_num
3908 C Derivatives in gamma(i)
3909 call transpose2(EUgder(1,1,i+1),e1tder(1,1))
3910 call matmat2(e1tder(1,1),a_temp(1,1),auxmat(1,1))
3911 call matvec2(auxmat(1,1),Ub2(1,i+3),auxvec(1))
3912 s1=scalar2(b1(1,iti2),auxvec(1))
3913 call matmat2(ae3e2(1,1),e1tder(1,1),pizda(1,1))
3914 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3915 gel_loc_turn4(i)=gel_loc_turn4(i)-(s1+s3)
3916 C Derivatives in gamma(i+1)
3917 call transpose2(EUgder(1,1,i+2),e2tder(1,1))
3918 call matvec2(ae3(1,1),Ub2der(1,i+2),auxvec(1))
3919 s2=scalar2(b1(1,iti1),auxvec(1))
3920 call matmat2(ae3(1,1),e2tder(1,1),auxmat(1,1))
3921 call matmat2(auxmat(1,1),e1t(1,1),pizda(1,1))
3922 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3923 gel_loc_turn4(i+1)=gel_loc_turn4(i+1)-(s2+s3)
3924 C Derivatives in gamma(i+2)
3925 call transpose2(EUgder(1,1,i+3),e3tder(1,1))
3926 call matvec2(e1a(1,1),Ub2der(1,i+3),auxvec(1))
3927 s1=scalar2(b1(1,iti2),auxvec(1))
3928 call matmat2(a_temp(1,1),e3tder(1,1),auxmat(1,1))
3929 call matvec2(auxmat(1,1),Ub2(1,i+2),auxvec(1))
3930 s2=scalar2(b1(1,iti1),auxvec(1))
3931 call matmat2(auxmat(1,1),e2t(1,1),auxmat3(1,1))
3932 call matmat2(auxmat3(1,1),e1t(1,1),pizda(1,1))
3933 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3934 gel_loc_turn4(i+2)=gel_loc_turn4(i+2)-(s1+s2+s3)
3935 C Cartesian derivatives
3936 C Derivatives of this turn contributions in DC(i+2)
3937 if (j.lt.nres-1) then
3939 a_temp(1,1)=agg(l,1)
3940 a_temp(1,2)=agg(l,2)
3941 a_temp(2,1)=agg(l,3)
3942 a_temp(2,2)=agg(l,4)
3943 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3944 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3945 s1=scalar2(b1(1,iti2),auxvec(1))
3946 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3947 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3948 s2=scalar2(b1(1,iti1),auxvec(1))
3949 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3950 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3951 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3953 gcorr4_turn(l,i+2)=gcorr4_turn(l,i+2)-(s1+s2+s3)
3956 C Remaining derivatives of this turn contribution
3958 a_temp(1,1)=aggi(l,1)
3959 a_temp(1,2)=aggi(l,2)
3960 a_temp(2,1)=aggi(l,3)
3961 a_temp(2,2)=aggi(l,4)
3962 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3963 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3964 s1=scalar2(b1(1,iti2),auxvec(1))
3965 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3966 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3967 s2=scalar2(b1(1,iti1),auxvec(1))
3968 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3969 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3970 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3971 gcorr4_turn(l,i)=gcorr4_turn(l,i)-(s1+s2+s3)
3972 a_temp(1,1)=aggi1(l,1)
3973 a_temp(1,2)=aggi1(l,2)
3974 a_temp(2,1)=aggi1(l,3)
3975 a_temp(2,2)=aggi1(l,4)
3976 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3977 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3978 s1=scalar2(b1(1,iti2),auxvec(1))
3979 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3980 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3981 s2=scalar2(b1(1,iti1),auxvec(1))
3982 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3983 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3984 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3985 gcorr4_turn(l,i+1)=gcorr4_turn(l,i+1)-(s1+s2+s3)
3986 a_temp(1,1)=aggj(l,1)
3987 a_temp(1,2)=aggj(l,2)
3988 a_temp(2,1)=aggj(l,3)
3989 a_temp(2,2)=aggj(l,4)
3990 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3991 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3992 s1=scalar2(b1(1,iti2),auxvec(1))
3993 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3994 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3995 s2=scalar2(b1(1,iti1),auxvec(1))
3996 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3997 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3998 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3999 gcorr4_turn(l,j)=gcorr4_turn(l,j)-(s1+s2+s3)
4000 a_temp(1,1)=aggj1(l,1)
4001 a_temp(1,2)=aggj1(l,2)
4002 a_temp(2,1)=aggj1(l,3)
4003 a_temp(2,2)=aggj1(l,4)
4004 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
4005 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
4006 s1=scalar2(b1(1,iti2),auxvec(1))
4007 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
4008 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
4009 s2=scalar2(b1(1,iti1),auxvec(1))
4010 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
4011 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
4012 s3=0.5d0*(pizda(1,1)+pizda(2,2))
4013 c write (iout,*) "s1",s1," s2",s2," s3",s3," s1+s2+s3",s1+s2+s3
4014 gcorr4_turn(l,j1)=gcorr4_turn(l,j1)-(s1+s2+s3)
4018 C-----------------------------------------------------------------------------
4019 subroutine vecpr(u,v,w)
4020 implicit real*8(a-h,o-z)
4021 dimension u(3),v(3),w(3)
4022 w(1)=u(2)*v(3)-u(3)*v(2)
4023 w(2)=-u(1)*v(3)+u(3)*v(1)
4024 w(3)=u(1)*v(2)-u(2)*v(1)
4027 C-----------------------------------------------------------------------------
4028 subroutine unormderiv(u,ugrad,unorm,ungrad)
4029 C This subroutine computes the derivatives of a normalized vector u, given
4030 C the derivatives computed without normalization conditions, ugrad. Returns
4033 double precision u(3),ugrad(3,3),unorm,ungrad(3,3)
4034 double precision vec(3)
4035 double precision scalar
4037 c write (2,*) 'ugrad',ugrad
4040 vec(i)=scalar(ugrad(1,i),u(1))
4042 c write (2,*) 'vec',vec
4045 ungrad(j,i)=(ugrad(j,i)-u(j)*vec(i))*unorm
4048 c write (2,*) 'ungrad',ungrad
4051 C-----------------------------------------------------------------------------
4052 subroutine escp_soft_sphere(evdw2,evdw2_14)
4054 C This subroutine calculates the excluded-volume interaction energy between
4055 C peptide-group centers and side chains and its gradient in virtual-bond and
4056 C side-chain vectors.
4058 implicit real*8 (a-h,o-z)
4059 include 'DIMENSIONS'
4060 include 'COMMON.GEO'
4061 include 'COMMON.VAR'
4062 include 'COMMON.LOCAL'
4063 include 'COMMON.CHAIN'
4064 include 'COMMON.DERIV'
4065 include 'COMMON.INTERACT'
4066 include 'COMMON.FFIELD'
4067 include 'COMMON.IOUNITS'
4068 include 'COMMON.CONTROL'
4073 cd print '(a)','Enter ESCP'
4074 cd write (iout,*) 'iatscp_s=',iatscp_s,' iatscp_e=',iatscp_e
4075 do i=iatscp_s,iatscp_e
4077 xi=0.5D0*(c(1,i)+c(1,i+1))
4078 yi=0.5D0*(c(2,i)+c(2,i+1))
4079 zi=0.5D0*(c(3,i)+c(3,i+1))
4081 do iint=1,nscp_gr(i)
4083 do j=iscpstart(i,iint),iscpend(i,iint)
4085 C Uncomment following three lines for SC-p interactions
4089 C Uncomment following three lines for Ca-p interactions
4093 rij=xj*xj+yj*yj+zj*zj
4096 if (rij.lt.r0ijsq) then
4097 evdwij=0.25d0*(rij-r0ijsq)**2
4105 C Calculate contributions to the gradient in the virtual-bond and SC vectors.
4110 cgrad if (j.lt.i) then
4111 cd write (iout,*) 'j<i'
4112 C Uncomment following three lines for SC-p interactions
4114 c gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4117 cd write (iout,*) 'j>i'
4119 cgrad ggg(k)=-ggg(k)
4120 C Uncomment following line for SC-p interactions
4121 c gradx_scp(k,j)=gradx_scp(k,j)-ggg(k)
4125 cgrad gvdwc_scp(k,i)=gvdwc_scp(k,i)-0.5D0*ggg(k)
4127 cgrad kstart=min0(i+1,j)
4128 cgrad kend=max0(i-1,j-1)
4129 cd write (iout,*) 'i=',i,' j=',j,' kstart=',kstart,' kend=',kend
4130 cd write (iout,*) ggg(1),ggg(2),ggg(3)
4131 cgrad do k=kstart,kend
4133 cgrad gvdwc_scp(l,k)=gvdwc_scp(l,k)-ggg(l)
4137 gvdwc_scpp(k,i)=gvdwc_scpp(k,i)-ggg(k)
4138 gvdwc_scp(k,j)=gvdwc_scp(k,j)+ggg(k)
4146 C-----------------------------------------------------------------------------
4147 subroutine escp(evdw2,evdw2_14)
4149 C This subroutine calculates the excluded-volume interaction energy between
4150 C peptide-group centers and side chains and its gradient in virtual-bond and
4151 C side-chain vectors.
4153 implicit real*8 (a-h,o-z)
4154 include 'DIMENSIONS'
4155 include 'COMMON.GEO'
4156 include 'COMMON.VAR'
4157 include 'COMMON.LOCAL'
4158 include 'COMMON.CHAIN'
4159 include 'COMMON.DERIV'
4160 include 'COMMON.INTERACT'
4161 include 'COMMON.FFIELD'
4162 include 'COMMON.IOUNITS'
4163 include 'COMMON.CONTROL'
4167 cd print '(a)','Enter ESCP'
4168 cd write (iout,*) 'iatscp_s=',iatscp_s,' iatscp_e=',iatscp_e
4169 do i=iatscp_s,iatscp_e
4171 xi=0.5D0*(c(1,i)+c(1,i+1))
4172 yi=0.5D0*(c(2,i)+c(2,i+1))
4173 zi=0.5D0*(c(3,i)+c(3,i+1))
4175 do iint=1,nscp_gr(i)
4177 do j=iscpstart(i,iint),iscpend(i,iint)
4179 C Uncomment following three lines for SC-p interactions
4183 C Uncomment following three lines for Ca-p interactions
4187 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
4189 e1=fac*fac*aad(itypj,iteli)
4190 e2=fac*bad(itypj,iteli)
4191 if (iabs(j-i) .le. 2) then
4194 evdw2_14=evdw2_14+e1+e2
4198 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
4199 & 'evdw2',i,j,evdwij
4201 C Calculate contributions to the gradient in the virtual-bond and SC vectors.
4203 fac=-(evdwij+e1)*rrij
4207 cgrad if (j.lt.i) then
4208 cd write (iout,*) 'j<i'
4209 C Uncomment following three lines for SC-p interactions
4211 c gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4214 cd write (iout,*) 'j>i'
4216 cgrad ggg(k)=-ggg(k)
4217 C Uncomment following line for SC-p interactions
4218 ccgrad gradx_scp(k,j)=gradx_scp(k,j)-ggg(k)
4219 c gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4223 cgrad gvdwc_scp(k,i)=gvdwc_scp(k,i)-0.5D0*ggg(k)
4225 cgrad kstart=min0(i+1,j)
4226 cgrad kend=max0(i-1,j-1)
4227 cd write (iout,*) 'i=',i,' j=',j,' kstart=',kstart,' kend=',kend
4228 cd write (iout,*) ggg(1),ggg(2),ggg(3)
4229 cgrad do k=kstart,kend
4231 cgrad gvdwc_scp(l,k)=gvdwc_scp(l,k)-ggg(l)
4235 gvdwc_scpp(k,i)=gvdwc_scpp(k,i)-ggg(k)
4236 gvdwc_scp(k,j)=gvdwc_scp(k,j)+ggg(k)
4244 gvdwc_scp(j,i)=expon*gvdwc_scp(j,i)
4245 gvdwc_scpp(j,i)=expon*gvdwc_scpp(j,i)
4246 gradx_scp(j,i)=expon*gradx_scp(j,i)
4249 C******************************************************************************
4253 C To save time the factor EXPON has been extracted from ALL components
4254 C of GVDWC and GRADX. Remember to multiply them by this factor before further
4257 C******************************************************************************
4260 C--------------------------------------------------------------------------
4261 subroutine edis(ehpb)
4263 C Evaluate bridge-strain energy and its gradient in virtual-bond and SC vectors.
4265 implicit real*8 (a-h,o-z)
4266 include 'DIMENSIONS'
4267 include 'COMMON.SBRIDGE'
4268 include 'COMMON.CHAIN'
4269 include 'COMMON.DERIV'
4270 include 'COMMON.VAR'
4271 include 'COMMON.INTERACT'
4272 include 'COMMON.IOUNITS'
4275 cd write(iout,*)'edis: nhpb=',nhpb,' fbr=',fbr
4276 cd write(iout,*)'link_start=',link_start,' link_end=',link_end
4277 if (link_end.eq.0) return
4278 do i=link_start,link_end
4279 C If ihpb(i) and jhpb(i) > NRES, this is a SC-SC distance, otherwise a
4280 C CA-CA distance used in regularization of structure.
4283 C iii and jjj point to the residues for which the distance is assigned.
4284 if (ii.gt.nres) then
4291 c write (iout,*) "i",i," ii",ii," iii",iii," jj",jj," jjj",jjj,
4292 c & dhpb(i),dhpb1(i),forcon(i)
4293 C 24/11/03 AL: SS bridges handled separately because of introducing a specific
4294 C distance and angle dependent SS bond potential.
4295 cmc if (ii.gt.nres .and. itype(iii).eq.1 .and. itype(jjj).eq.1) then
4296 C 18/07/06 MC: Use the convention that the first nss pairs are SS bonds
4297 if (.not.dyn_ss .and. i.le.nss) then
4298 C 15/02/13 CC dynamic SSbond - additional check
4300 & .and. itype(iii).eq.1 .and. itype(jjj).eq.1) then
4301 call ssbond_ene(iii,jjj,eij)
4304 cd write (iout,*) "eij",eij
4305 else if (ii.gt.nres .and. jj.gt.nres) then
4306 c Restraints from contact prediction
4308 if (dhpb1(i).gt.0.0d0) then
4309 ehpb=ehpb+2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4310 fac=forcon(i)*gnmr1prim(dd,dhpb(i),dhpb1(i))/dd
4311 c write (iout,*) "beta nmr",
4312 c & dd,2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4316 C Get the force constant corresponding to this distance.
4318 C Calculate the contribution to energy.
4319 ehpb=ehpb+waga*rdis*rdis
4320 c write (iout,*) "beta reg",dd,waga*rdis*rdis
4322 C Evaluate gradient.
4327 ggg(j)=fac*(c(j,jj)-c(j,ii))
4330 ghpbx(j,iii)=ghpbx(j,iii)-ggg(j)
4331 ghpbx(j,jjj)=ghpbx(j,jjj)+ggg(j)
4334 ghpbc(k,jjj)=ghpbc(k,jjj)+ggg(k)
4335 ghpbc(k,iii)=ghpbc(k,iii)-ggg(k)
4338 C Calculate the distance between the two points and its difference from the
4341 if (dhpb1(i).gt.0.0d0) then
4342 ehpb=ehpb+2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4343 fac=forcon(i)*gnmr1prim(dd,dhpb(i),dhpb1(i))/dd
4344 c write (iout,*) "alph nmr",
4345 c & dd,2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4348 C Get the force constant corresponding to this distance.
4350 C Calculate the contribution to energy.
4351 ehpb=ehpb+waga*rdis*rdis
4352 c write (iout,*) "alpha reg",dd,waga*rdis*rdis
4354 C Evaluate gradient.
4358 cd print *,'i=',i,' ii=',ii,' jj=',jj,' dhpb=',dhpb(i),' dd=',dd,
4359 cd & ' waga=',waga,' fac=',fac
4361 ggg(j)=fac*(c(j,jj)-c(j,ii))
4363 cd print '(i3,3(1pe14.5))',i,(ggg(j),j=1,3)
4364 C If this is a SC-SC distance, we need to calculate the contributions to the
4365 C Cartesian gradient in the SC vectors (ghpbx).
4368 ghpbx(j,iii)=ghpbx(j,iii)-ggg(j)
4369 ghpbx(j,jjj)=ghpbx(j,jjj)+ggg(j)
4372 cgrad do j=iii,jjj-1
4374 cgrad ghpbc(k,j)=ghpbc(k,j)+ggg(k)
4378 ghpbc(k,jjj)=ghpbc(k,jjj)+ggg(k)
4379 ghpbc(k,iii)=ghpbc(k,iii)-ggg(k)
4386 C--------------------------------------------------------------------------
4387 subroutine ssbond_ene(i,j,eij)
4389 C Calculate the distance and angle dependent SS-bond potential energy
4390 C using a free-energy function derived based on RHF/6-31G** ab initio
4391 C calculations of diethyl disulfide.
4393 C A. Liwo and U. Kozlowska, 11/24/03
4395 implicit real*8 (a-h,o-z)
4396 include 'DIMENSIONS'
4397 include 'COMMON.SBRIDGE'
4398 include 'COMMON.CHAIN'
4399 include 'COMMON.DERIV'
4400 include 'COMMON.LOCAL'
4401 include 'COMMON.INTERACT'
4402 include 'COMMON.VAR'
4403 include 'COMMON.IOUNITS'
4404 double precision erij(3),dcosom1(3),dcosom2(3),gg(3)
4409 dxi=dc_norm(1,nres+i)
4410 dyi=dc_norm(2,nres+i)
4411 dzi=dc_norm(3,nres+i)
4412 c dsci_inv=dsc_inv(itypi)
4413 dsci_inv=vbld_inv(nres+i)
4415 c dscj_inv=dsc_inv(itypj)
4416 dscj_inv=vbld_inv(nres+j)
4420 dxj=dc_norm(1,nres+j)
4421 dyj=dc_norm(2,nres+j)
4422 dzj=dc_norm(3,nres+j)
4423 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
4428 om1=dxi*erij(1)+dyi*erij(2)+dzi*erij(3)
4429 om2=dxj*erij(1)+dyj*erij(2)+dzj*erij(3)
4430 om12=dxi*dxj+dyi*dyj+dzi*dzj
4432 dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
4433 dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
4439 deltat12=om2-om1+2.0d0
4441 eij=akcm*deltad*deltad+akth*(deltat1*deltat1+deltat2*deltat2)
4442 & +akct*deltad*deltat12+ebr
4443 & +v1ss*cosphi+v2ss*cosphi*cosphi+v3ss*cosphi*cosphi*cosphi
4444 c write(iout,*) i,j,"rij",rij,"d0cm",d0cm," akcm",akcm," akth",akth,
4445 c & " akct",akct," deltad",deltad," deltat",deltat1,deltat2,
4446 c & " deltat12",deltat12," eij",eij
4447 ed=2*akcm*deltad+akct*deltat12
4449 pom2=v1ss+2*v2ss*cosphi+3*v3ss*cosphi*cosphi
4450 eom1=-2*akth*deltat1-pom1-om2*pom2
4451 eom2= 2*akth*deltat2+pom1-om1*pom2
4454 ggk=ed*erij(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
4455 ghpbx(k,i)=ghpbx(k,i)-ggk
4456 & +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
4457 & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
4458 ghpbx(k,j)=ghpbx(k,j)+ggk
4459 & +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
4460 & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
4461 ghpbc(k,i)=ghpbc(k,i)-ggk
4462 ghpbc(k,j)=ghpbc(k,j)+ggk
4465 C Calculate the components of the gradient in DC and X
4469 cgrad ghpbc(l,k)=ghpbc(l,k)+gg(l)
4474 C--------------------------------------------------------------------------
4475 subroutine ebond(estr)
4477 c Evaluate the energy of stretching of the CA-CA and CA-SC virtual bonds
4479 implicit real*8 (a-h,o-z)
4480 include 'DIMENSIONS'
4481 include 'COMMON.LOCAL'
4482 include 'COMMON.GEO'
4483 include 'COMMON.INTERACT'
4484 include 'COMMON.DERIV'
4485 include 'COMMON.VAR'
4486 include 'COMMON.CHAIN'
4487 include 'COMMON.IOUNITS'
4488 include 'COMMON.NAMES'
4489 include 'COMMON.FFIELD'
4490 include 'COMMON.CONTROL'
4491 include 'COMMON.SETUP'
4492 double precision u(3),ud(3)
4494 do i=ibondp_start,ibondp_end
4495 diff = vbld(i)-vbldp0
4496 c write (iout,*) i,vbld(i),vbldp0,diff,AKP*diff*diff
4497 if (energy_dec) write (iout,'(a7,i5,4f7.3)')
4498 & "estr bb",i,vbld(i),vbldp0,diff,AKP*diff*diff
4501 gradb(j,i-1)=AKP*diff*dc(j,i-1)/vbld(i)
4503 c write (iout,'(i5,3f10.5)') i,(gradb(j,i-1),j=1,3)
4507 c 09/18/07 AL: multimodal bond potential based on AM1 CA-SC PMF's included
4509 do i=ibond_start,ibond_end
4514 diff=vbld(i+nres)-vbldsc0(1,iti)
4515 c write (iout,*) i,iti,vbld(i+nres),vbldsc0(1,iti),diff,
4516 c & AKSC(1,iti),AKSC(1,iti)*diff*diff
4517 if (energy_dec) then
4519 & "estr sc",i,iti,vbld(i+nres),vbldsc0(1,iti),diff,
4520 & AKSC(1,iti),AKSC(1,iti)*diff*diff
4523 estr=estr+0.5d0*AKSC(1,iti)*diff*diff
4525 gradbx(j,i)=AKSC(1,iti)*diff*dc(j,i+nres)/vbld(i+nres)
4529 diff=vbld(i+nres)-vbldsc0(j,iti)
4530 ud(j)=aksc(j,iti)*diff
4531 u(j)=abond0(j,iti)+0.5d0*ud(j)*diff
4545 uprod2=uprod2*u(k)*u(k)
4549 usumsqder=usumsqder+ud(j)*uprod2
4551 estr=estr+uprod/usum
4553 gradbx(j,i)=usumsqder/(usum*usum)*dc(j,i+nres)/vbld(i+nres)
4561 C--------------------------------------------------------------------------
4562 subroutine ebend(etheta)
4564 C Evaluate the virtual-bond-angle energy given the virtual-bond dihedral
4565 C angles gamma and its derivatives in consecutive thetas and gammas.
4567 implicit real*8 (a-h,o-z)
4568 include 'DIMENSIONS'
4569 include 'COMMON.LOCAL'
4570 include 'COMMON.GEO'
4571 include 'COMMON.INTERACT'
4572 include 'COMMON.DERIV'
4573 include 'COMMON.VAR'
4574 include 'COMMON.CHAIN'
4575 include 'COMMON.IOUNITS'
4576 include 'COMMON.NAMES'
4577 include 'COMMON.FFIELD'
4578 include 'COMMON.CONTROL'
4579 common /calcthet/ term1,term2,termm,diffak,ratak,
4580 & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4581 & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4582 double precision y(2),z(2)
4584 c time11=dexp(-2*time)
4587 c write (*,'(a,i2)') 'EBEND ICG=',icg
4588 do i=ithet_start,ithet_end
4589 C Zero the energy function and its derivative at 0 or pi.
4590 call splinthet(theta(i),0.5d0*delta,ss,ssd)
4595 if (phii.ne.phii) phii=150.0
4608 if (phii1.ne.phii1) phii1=150.0
4620 C Calculate the "mean" value of theta from the part of the distribution
4621 C dependent on the adjacent virtual-bond-valence angles (gamma1 & gamma2).
4622 C In following comments this theta will be referred to as t_c.
4623 thet_pred_mean=0.0d0
4627 thet_pred_mean=thet_pred_mean+athetk*y(k)+bthetk*z(k)
4629 dthett=thet_pred_mean*ssd
4630 thet_pred_mean=thet_pred_mean*ss+a0thet(it)
4631 C Derivatives of the "mean" values in gamma1 and gamma2.
4632 dthetg1=(-athet(1,it)*y(2)+athet(2,it)*y(1))*ss
4633 dthetg2=(-bthet(1,it)*z(2)+bthet(2,it)*z(1))*ss
4634 if (theta(i).gt.pi-delta) then
4635 call theteng(pi-delta,thet_pred_mean,theta0(it),f0,fprim0,
4637 call mixder(pi-delta,thet_pred_mean,theta0(it),fprim_tc0)
4638 call theteng(pi,thet_pred_mean,theta0(it),f1,fprim1,E_tc1)
4639 call spline1(theta(i),pi-delta,delta,f0,f1,fprim0,ethetai,
4641 call spline2(theta(i),pi-delta,delta,E_tc0,E_tc1,fprim_tc0,
4643 else if (theta(i).lt.delta) then
4644 call theteng(delta,thet_pred_mean,theta0(it),f0,fprim0,E_tc0)
4645 call theteng(0.0d0,thet_pred_mean,theta0(it),f1,fprim1,E_tc1)
4646 call spline1(theta(i),delta,-delta,f0,f1,fprim0,ethetai,
4648 call mixder(delta,thet_pred_mean,theta0(it),fprim_tc0)
4649 call spline2(theta(i),delta,-delta,E_tc0,E_tc1,fprim_tc0,
4652 call theteng(theta(i),thet_pred_mean,theta0(it),ethetai,
4655 etheta=etheta+ethetai
4656 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
4658 if (i.gt.3) gloc(i-3,icg)=gloc(i-3,icg)+wang*E_tc*dthetg1
4659 if (i.lt.nres) gloc(i-2,icg)=gloc(i-2,icg)+wang*E_tc*dthetg2
4660 gloc(nphi+i-2,icg)=wang*(E_theta+E_tc*dthett)
4662 C Ufff.... We've done all this!!!
4665 C---------------------------------------------------------------------------
4666 subroutine theteng(thetai,thet_pred_mean,theta0i,ethetai,E_theta,
4668 implicit real*8 (a-h,o-z)
4669 include 'DIMENSIONS'
4670 include 'COMMON.LOCAL'
4671 include 'COMMON.IOUNITS'
4672 common /calcthet/ term1,term2,termm,diffak,ratak,
4673 & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4674 & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4675 C Calculate the contributions to both Gaussian lobes.
4676 C 6/6/97 - Deform the Gaussians using the factor of 1/(1+time)
4677 C The "polynomial part" of the "standard deviation" of this part of
4681 sig=sig*thet_pred_mean+polthet(j,it)
4683 C Derivative of the "interior part" of the "standard deviation of the"
4684 C gamma-dependent Gaussian lobe in t_c.
4685 sigtc=3*polthet(3,it)
4687 sigtc=sigtc*thet_pred_mean+j*polthet(j,it)
4690 C Set the parameters of both Gaussian lobes of the distribution.
4691 C "Standard deviation" of the gamma-dependent Gaussian lobe (sigtc)
4692 fac=sig*sig+sigc0(it)
4695 C Following variable (sigsqtc) is -(1/2)d[sigma(t_c)**(-2))]/dt_c
4696 sigsqtc=-4.0D0*sigcsq*sigtc
4697 c print *,i,sig,sigtc,sigsqtc
4698 C Following variable (sigtc) is d[sigma(t_c)]/dt_c
4699 sigtc=-sigtc/(fac*fac)
4700 C Following variable is sigma(t_c)**(-2)
4701 sigcsq=sigcsq*sigcsq
4703 sig0inv=1.0D0/sig0i**2
4704 delthec=thetai-thet_pred_mean
4705 delthe0=thetai-theta0i
4706 term1=-0.5D0*sigcsq*delthec*delthec
4707 term2=-0.5D0*sig0inv*delthe0*delthe0
4708 C Following fuzzy logic is to avoid underflows in dexp and subsequent INFs and
4709 C NaNs in taking the logarithm. We extract the largest exponent which is added
4710 C to the energy (this being the log of the distribution) at the end of energy
4711 C term evaluation for this virtual-bond angle.
4712 if (term1.gt.term2) then
4714 term2=dexp(term2-termm)
4718 term1=dexp(term1-termm)
4721 C The ratio between the gamma-independent and gamma-dependent lobes of
4722 C the distribution is a Gaussian function of thet_pred_mean too.
4723 diffak=gthet(2,it)-thet_pred_mean
4724 ratak=diffak/gthet(3,it)**2
4725 ak=dexp(gthet(1,it)-0.5D0*diffak*ratak)
4726 C Let's differentiate it in thet_pred_mean NOW.
4728 C Now put together the distribution terms to make complete distribution.
4729 termexp=term1+ak*term2
4730 termpre=sigc+ak*sig0i
4731 C Contribution of the bending energy from this theta is just the -log of
4732 C the sum of the contributions from the two lobes and the pre-exponential
4733 C factor. Simple enough, isn't it?
4734 ethetai=(-dlog(termexp)-termm+dlog(termpre))
4735 C NOW the derivatives!!!
4736 C 6/6/97 Take into account the deformation.
4737 E_theta=(delthec*sigcsq*term1
4738 & +ak*delthe0*sig0inv*term2)/termexp
4739 E_tc=((sigtc+aktc*sig0i)/termpre
4740 & -((delthec*sigcsq+delthec*delthec*sigsqtc)*term1+
4741 & aktc*term2)/termexp)
4744 c-----------------------------------------------------------------------------
4745 subroutine mixder(thetai,thet_pred_mean,theta0i,E_tc_t)
4746 implicit real*8 (a-h,o-z)
4747 include 'DIMENSIONS'
4748 include 'COMMON.LOCAL'
4749 include 'COMMON.IOUNITS'
4750 common /calcthet/ term1,term2,termm,diffak,ratak,
4751 & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4752 & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4753 delthec=thetai-thet_pred_mean
4754 delthe0=thetai-theta0i
4755 C "Thank you" to MAPLE (probably spared one day of hand-differentiation).
4756 t3 = thetai-thet_pred_mean
4760 t14 = t12+t6*sigsqtc
4762 t21 = thetai-theta0i
4768 E_tc_t = -((sigcsq+2.D0*t3*sigsqtc)*t9-t14*sigcsq*t3*t16*t9
4769 & -aktc*sig0inv*t27)/t32+(t14*t9+aktc*t26)/t40
4770 & *(-t12*t9-ak*sig0inv*t27)
4774 C--------------------------------------------------------------------------
4775 subroutine ebend(etheta)
4777 C Evaluate the virtual-bond-angle energy given the virtual-bond dihedral
4778 C angles gamma and its derivatives in consecutive thetas and gammas.
4779 C ab initio-derived potentials from
4780 c Kozlowska et al., J. Phys.: Condens. Matter 19 (2007) 285203
4782 implicit real*8 (a-h,o-z)
4783 include 'DIMENSIONS'
4784 include 'COMMON.LOCAL'
4785 include 'COMMON.GEO'
4786 include 'COMMON.INTERACT'
4787 include 'COMMON.DERIV'
4788 include 'COMMON.VAR'
4789 include 'COMMON.CHAIN'
4790 include 'COMMON.IOUNITS'
4791 include 'COMMON.NAMES'
4792 include 'COMMON.FFIELD'
4793 include 'COMMON.CONTROL'
4794 double precision coskt(mmaxtheterm),sinkt(mmaxtheterm),
4795 & cosph1(maxsingle),sinph1(maxsingle),cosph2(maxsingle),
4796 & sinph2(maxsingle),cosph1ph2(maxdouble,maxdouble),
4797 & sinph1ph2(maxdouble,maxdouble)
4798 logical lprn /.false./, lprn1 /.false./
4800 do i=ithet_start,ithet_end
4801 if ((itype(i-1).eq.ntyp1).or.(itype(i-2).eq.ntyp1).or.
4802 &(itype(i).eq.ntyp1)) cycle
4806 theti2=0.5d0*theta(i)
4807 ityp2=ithetyp(itype(i-1))
4809 coskt(k)=dcos(k*theti2)
4810 sinkt(k)=dsin(k*theti2)
4813 if (i.gt.3 .and. itype(imax0(i-3,1)).ne.ntyp1) then
4816 if (phii.ne.phii) phii=150.0
4820 ityp1=ithetyp(itype(i-2))
4822 cosph1(k)=dcos(k*phii)
4823 sinph1(k)=dsin(k*phii)
4827 ityp1=ithetyp(itype(i-2))
4833 if ((i.lt.nres).and. itype(i+1).ne.ntyp1) then
4836 if (phii1.ne.phii1) phii1=150.0
4841 ityp3=ithetyp(itype(i))
4843 cosph2(k)=dcos(k*phii1)
4844 sinph2(k)=dsin(k*phii1)
4848 ityp3=ithetyp(itype(i))
4854 ethetai=aa0thet(ityp1,ityp2,ityp3)
4857 ccl=cosph1(l)*cosph2(k-l)
4858 ssl=sinph1(l)*sinph2(k-l)
4859 scl=sinph1(l)*cosph2(k-l)
4860 csl=cosph1(l)*sinph2(k-l)
4861 cosph1ph2(l,k)=ccl-ssl
4862 cosph1ph2(k,l)=ccl+ssl
4863 sinph1ph2(l,k)=scl+csl
4864 sinph1ph2(k,l)=scl-csl
4868 write (iout,*) "i",i," ityp1",ityp1," ityp2",ityp2,
4869 & " ityp3",ityp3," theti2",theti2," phii",phii," phii1",phii1
4870 write (iout,*) "coskt and sinkt"
4872 write (iout,*) k,coskt(k),sinkt(k)
4876 ethetai=ethetai+aathet(k,ityp1,ityp2,ityp3)*sinkt(k)
4877 dethetai=dethetai+0.5d0*k*aathet(k,ityp1,ityp2,ityp3)
4880 & write (iout,*) "k",k," aathet",aathet(k,ityp1,ityp2,ityp3),
4881 & " ethetai",ethetai
4884 write (iout,*) "cosph and sinph"
4886 write (iout,*) k,cosph1(k),sinph1(k),cosph2(k),sinph2(k)
4888 write (iout,*) "cosph1ph2 and sinph2ph2"
4891 write (iout,*) l,k,cosph1ph2(l,k),cosph1ph2(k,l),
4892 & sinph1ph2(l,k),sinph1ph2(k,l)
4895 write(iout,*) "ethetai",ethetai
4899 aux=bbthet(k,m,ityp1,ityp2,ityp3)*cosph1(k)
4900 & +ccthet(k,m,ityp1,ityp2,ityp3)*sinph1(k)
4901 & +ddthet(k,m,ityp1,ityp2,ityp3)*cosph2(k)
4902 & +eethet(k,m,ityp1,ityp2,ityp3)*sinph2(k)
4903 ethetai=ethetai+sinkt(m)*aux
4904 dethetai=dethetai+0.5d0*m*aux*coskt(m)
4905 dephii=dephii+k*sinkt(m)*(
4906 & ccthet(k,m,ityp1,ityp2,ityp3)*cosph1(k)-
4907 & bbthet(k,m,ityp1,ityp2,ityp3)*sinph1(k))
4908 dephii1=dephii1+k*sinkt(m)*(
4909 & eethet(k,m,ityp1,ityp2,ityp3)*cosph2(k)-
4910 & ddthet(k,m,ityp1,ityp2,ityp3)*sinph2(k))
4912 & write (iout,*) "m",m," k",k," bbthet",
4913 & bbthet(k,m,ityp1,ityp2,ityp3)," ccthet",
4914 & ccthet(k,m,ityp1,ityp2,ityp3)," ddthet",
4915 & ddthet(k,m,ityp1,ityp2,ityp3)," eethet",
4916 & eethet(k,m,ityp1,ityp2,ityp3)," ethetai",ethetai
4920 & write(iout,*) "ethetai",ethetai
4924 aux=ffthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)+
4925 & ffthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l)+
4926 & ggthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)+
4927 & ggthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)
4928 ethetai=ethetai+sinkt(m)*aux
4929 dethetai=dethetai+0.5d0*m*coskt(m)*aux
4930 dephii=dephii+l*sinkt(m)*(
4931 & -ffthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)-
4932 & ffthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)+
4933 & ggthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)+
4934 & ggthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l))
4935 dephii1=dephii1+(k-l)*sinkt(m)*(
4936 & -ffthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)+
4937 & ffthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)+
4938 & ggthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)-
4939 & ggthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l))
4941 write (iout,*) "m",m," k",k," l",l," ffthet",
4942 & ffthet(l,k,m,ityp1,ityp2,ityp3),
4943 & ffthet(k,l,m,ityp1,ityp2,ityp3)," ggthet",
4944 & ggthet(l,k,m,ityp1,ityp2,ityp3),
4945 & ggthet(k,l,m,ityp1,ityp2,ityp3)," ethetai",ethetai
4946 write (iout,*) cosph1ph2(l,k)*sinkt(m),
4947 & cosph1ph2(k,l)*sinkt(m),
4948 & sinph1ph2(l,k)*sinkt(m),sinph1ph2(k,l)*sinkt(m)
4954 if (lprn1) write (iout,'(a4,i2,3f8.1,9h ethetai ,f10.5)')
4955 & 'ebe', i,theta(i)*rad2deg,phii*rad2deg,
4956 & phii1*rad2deg,ethetai
4957 etheta=etheta+ethetai
4958 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
4960 if (i.gt.3) gloc(i-3,icg)=gloc(i-3,icg)+wang*dephii
4961 if (i.lt.nres) gloc(i-2,icg)=gloc(i-2,icg)+wang*dephii1
4962 gloc(nphi+i-2,icg)=wang*dethetai
4968 c-----------------------------------------------------------------------------
4969 subroutine esc(escloc)
4970 C Calculate the local energy of a side chain and its derivatives in the
4971 C corresponding virtual-bond valence angles THETA and the spherical angles
4973 implicit real*8 (a-h,o-z)
4974 include 'DIMENSIONS'
4975 include 'COMMON.GEO'
4976 include 'COMMON.LOCAL'
4977 include 'COMMON.VAR'
4978 include 'COMMON.INTERACT'
4979 include 'COMMON.DERIV'
4980 include 'COMMON.CHAIN'
4981 include 'COMMON.IOUNITS'
4982 include 'COMMON.NAMES'
4983 include 'COMMON.FFIELD'
4984 include 'COMMON.CONTROL'
4985 double precision x(3),dersc(3),xemp(3),dersc0(3),dersc1(3),
4986 & ddersc0(3),ddummy(3),xtemp(3),temp(3)
4987 common /sccalc/ time11,time12,time112,theti,it,nlobit
4990 c write (iout,'(a)') 'ESC'
4991 do i=loc_start,loc_end
4993 if (it.eq.10) goto 1
4995 c print *,'i=',i,' it=',it,' nlobit=',nlobit
4996 c write (iout,*) 'i=',i,' ssa=',ssa,' ssad=',ssad
4997 theti=theta(i+1)-pipol
5002 if (x(2).gt.pi-delta) then
5006 call enesc(xtemp,escloci0,dersc0,ddersc0,.true.)
5008 call enesc(xtemp,escloci1,dersc1,ddummy,.false.)
5009 call spline1(x(2),pi-delta,delta,escloci0,escloci1,dersc0(2),
5011 call spline2(x(2),pi-delta,delta,dersc0(1),dersc1(1),
5012 & ddersc0(1),dersc(1))
5013 call spline2(x(2),pi-delta,delta,dersc0(3),dersc1(3),
5014 & ddersc0(3),dersc(3))
5016 call enesc_bound(xtemp,esclocbi0,dersc0,dersc12,.true.)
5018 call enesc_bound(xtemp,esclocbi1,dersc1,chuju,.false.)
5019 call spline1(x(2),pi-delta,delta,esclocbi0,esclocbi1,
5020 & dersc0(2),esclocbi,dersc02)
5021 call spline2(x(2),pi-delta,delta,dersc0(1),dersc1(1),
5023 call splinthet(x(2),0.5d0*delta,ss,ssd)
5028 dersc(k)=ss*dersc(k)+(1.0d0-ss)*dersc0(k)
5030 dersc(2)=dersc(2)+ssd*(escloci-esclocbi)
5031 c write (iout,*) 'i=',i,x(2)*rad2deg,escloci0,escloci,
5033 escloci=ss*escloci+(1.0d0-ss)*esclocbi
5035 c write (iout,*) escloci
5036 else if (x(2).lt.delta) then
5040 call enesc(xtemp,escloci0,dersc0,ddersc0,.true.)
5042 call enesc(xtemp,escloci1,dersc1,ddummy,.false.)
5043 call spline1(x(2),delta,-delta,escloci0,escloci1,dersc0(2),
5045 call spline2(x(2),delta,-delta,dersc0(1),dersc1(1),
5046 & ddersc0(1),dersc(1))
5047 call spline2(x(2),delta,-delta,dersc0(3),dersc1(3),
5048 & ddersc0(3),dersc(3))
5050 call enesc_bound(xtemp,esclocbi0,dersc0,dersc12,.true.)
5052 call enesc_bound(xtemp,esclocbi1,dersc1,chuju,.false.)
5053 call spline1(x(2),delta,-delta,esclocbi0,esclocbi1,
5054 & dersc0(2),esclocbi,dersc02)
5055 call spline2(x(2),delta,-delta,dersc0(1),dersc1(1),
5060 call splinthet(x(2),0.5d0*delta,ss,ssd)
5062 dersc(k)=ss*dersc(k)+(1.0d0-ss)*dersc0(k)
5064 dersc(2)=dersc(2)+ssd*(escloci-esclocbi)
5065 c write (iout,*) 'i=',i,x(2)*rad2deg,escloci0,escloci,
5067 escloci=ss*escloci+(1.0d0-ss)*esclocbi
5068 c write (iout,*) escloci
5070 call enesc(x,escloci,dersc,ddummy,.false.)
5073 escloc=escloc+escloci
5074 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5075 & 'escloc',i,escloci
5076 c write (iout,*) 'i=',i,' escloci=',escloci,' dersc=',dersc
5078 gloc(nphi+i-1,icg)=gloc(nphi+i-1,icg)+
5080 gloc(ialph(i,1),icg)=wscloc*dersc(2)
5081 gloc(ialph(i,1)+nside,icg)=wscloc*dersc(3)
5086 C---------------------------------------------------------------------------
5087 subroutine enesc(x,escloci,dersc,ddersc,mixed)
5088 implicit real*8 (a-h,o-z)
5089 include 'DIMENSIONS'
5090 include 'COMMON.GEO'
5091 include 'COMMON.LOCAL'
5092 include 'COMMON.IOUNITS'
5093 common /sccalc/ time11,time12,time112,theti,it,nlobit
5094 double precision x(3),z(3),Ax(3,maxlob,-1:1),dersc(3),ddersc(3)
5095 double precision contr(maxlob,-1:1)
5097 c write (iout,*) 'it=',it,' nlobit=',nlobit
5101 if (mixed) ddersc(j)=0.0d0
5105 C Because of periodicity of the dependence of the SC energy in omega we have
5106 C to add up the contributions from x(3)-2*pi, x(3), and x(3+2*pi).
5107 C To avoid underflows, first compute & store the exponents.
5115 z(k)=x(k)-censc(k,j,it)
5120 Axk=Axk+gaussc(l,k,j,it)*z(l)
5126 expfac=expfac+Ax(k,j,iii)*z(k)
5134 C As in the case of ebend, we want to avoid underflows in exponentiation and
5135 C subsequent NaNs and INFs in energy calculation.
5136 C Find the largest exponent
5140 if (emin.gt.contr(j,iii)) emin=contr(j,iii)
5144 cd print *,'it=',it,' emin=',emin
5146 C Compute the contribution to SC energy and derivatives
5151 adexp=bsc(j,it)-0.5D0*contr(j,iii)+emin
5152 if(adexp.ne.adexp) adexp=1.0
5155 expfac=dexp(bsc(j,it)-0.5D0*contr(j,iii)+emin)
5157 cd print *,'j=',j,' expfac=',expfac
5158 escloc_i=escloc_i+expfac
5160 dersc(k)=dersc(k)+Ax(k,j,iii)*expfac
5164 ddersc(k)=ddersc(k)+(-Ax(2,j,iii)*Ax(k,j,iii)
5165 & +gaussc(k,2,j,it))*expfac
5172 dersc(1)=dersc(1)/cos(theti)**2
5173 ddersc(1)=ddersc(1)/cos(theti)**2
5176 escloci=-(dlog(escloc_i)-emin)
5178 dersc(j)=dersc(j)/escloc_i
5182 ddersc(j)=(ddersc(j)/escloc_i+dersc(2)*dersc(j))
5187 C------------------------------------------------------------------------------
5188 subroutine enesc_bound(x,escloci,dersc,dersc12,mixed)
5189 implicit real*8 (a-h,o-z)
5190 include 'DIMENSIONS'
5191 include 'COMMON.GEO'
5192 include 'COMMON.LOCAL'
5193 include 'COMMON.IOUNITS'
5194 common /sccalc/ time11,time12,time112,theti,it,nlobit
5195 double precision x(3),z(3),Ax(3,maxlob),dersc(3)
5196 double precision contr(maxlob)
5207 z(k)=x(k)-censc(k,j,it)
5213 Axk=Axk+gaussc(l,k,j,it)*z(l)
5219 expfac=expfac+Ax(k,j)*z(k)
5224 C As in the case of ebend, we want to avoid underflows in exponentiation and
5225 C subsequent NaNs and INFs in energy calculation.
5226 C Find the largest exponent
5229 if (emin.gt.contr(j)) emin=contr(j)
5233 C Compute the contribution to SC energy and derivatives
5237 expfac=dexp(bsc(j,it)-0.5D0*contr(j)+emin)
5238 escloc_i=escloc_i+expfac
5240 dersc(k)=dersc(k)+Ax(k,j)*expfac
5242 if (mixed) dersc12=dersc12+(-Ax(2,j)*Ax(1,j)
5243 & +gaussc(1,2,j,it))*expfac
5247 dersc(1)=dersc(1)/cos(theti)**2
5248 dersc12=dersc12/cos(theti)**2
5249 escloci=-(dlog(escloc_i)-emin)
5251 dersc(j)=dersc(j)/escloc_i
5253 if (mixed) dersc12=(dersc12/escloc_i+dersc(2)*dersc(1))
5257 c----------------------------------------------------------------------------------
5258 subroutine esc(escloc)
5259 C Calculate the local energy of a side chain and its derivatives in the
5260 C corresponding virtual-bond valence angles THETA and the spherical angles
5261 C ALPHA and OMEGA derived from AM1 all-atom calculations.
5262 C added by Urszula Kozlowska. 07/11/2007
5264 implicit real*8 (a-h,o-z)
5265 include 'DIMENSIONS'
5266 include 'COMMON.GEO'
5267 include 'COMMON.LOCAL'
5268 include 'COMMON.VAR'
5269 include 'COMMON.SCROT'
5270 include 'COMMON.INTERACT'
5271 include 'COMMON.DERIV'
5272 include 'COMMON.CHAIN'
5273 include 'COMMON.IOUNITS'
5274 include 'COMMON.NAMES'
5275 include 'COMMON.FFIELD'
5276 include 'COMMON.CONTROL'
5277 include 'COMMON.VECTORS'
5278 double precision x_prime(3),y_prime(3),z_prime(3)
5279 & , sumene,dsc_i,dp2_i,x(65),
5280 & xx,yy,zz,sumene1,sumene2,sumene3,sumene4,s1,s1_6,s2,s2_6,
5281 & de_dxx,de_dyy,de_dzz,de_dt
5282 double precision s1_t,s1_6_t,s2_t,s2_6_t
5284 & dXX_Ci1(3),dYY_Ci1(3),dZZ_Ci1(3),dXX_Ci(3),
5285 & dYY_Ci(3),dZZ_Ci(3),dXX_XYZ(3),dYY_XYZ(3),dZZ_XYZ(3),
5286 & dt_dCi(3),dt_dCi1(3)
5287 common /sccalc/ time11,time12,time112,theti,it,nlobit
5290 do i=loc_start,loc_end
5291 costtab(i+1) =dcos(theta(i+1))
5292 sinttab(i+1) =dsqrt(1-costtab(i+1)*costtab(i+1))
5293 cost2tab(i+1)=dsqrt(0.5d0*(1.0d0+costtab(i+1)))
5294 sint2tab(i+1)=dsqrt(0.5d0*(1.0d0-costtab(i+1)))
5295 cosfac2=0.5d0/(1.0d0+costtab(i+1))
5296 cosfac=dsqrt(cosfac2)
5297 sinfac2=0.5d0/(1.0d0-costtab(i+1))
5298 sinfac=dsqrt(sinfac2)
5300 if (it.eq.10) goto 1
5302 C Compute the axes of tghe local cartesian coordinates system; store in
5303 c x_prime, y_prime and z_prime
5310 C write(2,*) "dc_norm", dc_norm(1,i+nres),dc_norm(2,i+nres),
5311 C & dc_norm(3,i+nres)
5313 x_prime(j) = (dc_norm(j,i) - dc_norm(j,i-1))*cosfac
5314 y_prime(j) = (dc_norm(j,i) + dc_norm(j,i-1))*sinfac
5317 z_prime(j) = -uz(j,i-1)
5320 c write (2,*) "x_prime",(x_prime(j),j=1,3)
5321 c write (2,*) "y_prime",(y_prime(j),j=1,3)
5322 c write (2,*) "z_prime",(z_prime(j),j=1,3)
5323 c write (2,*) "xx",scalar(x_prime(1),x_prime(1)),
5324 c & " xy",scalar(x_prime(1),y_prime(1)),
5325 c & " xz",scalar(x_prime(1),z_prime(1)),
5326 c & " yy",scalar(y_prime(1),y_prime(1)),
5327 c & " yz",scalar(y_prime(1),z_prime(1)),
5328 c & " zz",scalar(z_prime(1),z_prime(1))
5330 C Transform the unit vector of the ith side-chain centroid, dC_norm(*,i),
5331 C to local coordinate system. Store in xx, yy, zz.
5337 xx = xx + x_prime(j)*dc_norm(j,i+nres)
5338 yy = yy + y_prime(j)*dc_norm(j,i+nres)
5339 zz = zz + z_prime(j)*dc_norm(j,i+nres)
5346 C Compute the energy of the ith side cbain
5348 c write (2,*) "xx",xx," yy",yy," zz",zz
5351 x(j) = sc_parmin(j,it)
5354 Cc diagnostics - remove later
5356 yy1 = dsin(alph(2))*dcos(omeg(2))
5357 zz1 = -dsin(alph(2))*dsin(omeg(2))
5358 write(2,'(3f8.1,3f9.3,1x,3f9.3)')
5359 & alph(2)*rad2deg,omeg(2)*rad2deg,theta(3)*rad2deg,xx,yy,zz,
5361 C," --- ", xx_w,yy_w,zz_w
5364 sumene1= x(1)+ x(2)*xx+ x(3)*yy+ x(4)*zz+ x(5)*xx**2
5365 & + x(6)*yy**2+ x(7)*zz**2+ x(8)*xx*zz+ x(9)*xx*yy
5367 sumene2= x(11) + x(12)*xx + x(13)*yy + x(14)*zz + x(15)*xx**2
5368 & + x(16)*yy**2 + x(17)*zz**2 + x(18)*xx*zz + x(19)*xx*yy
5370 sumene3= x(21) +x(22)*xx +x(23)*yy +x(24)*zz +x(25)*xx**2
5371 & +x(26)*yy**2 +x(27)*zz**2 +x(28)*xx*zz +x(29)*xx*yy
5372 & +x(30)*yy*zz +x(31)*xx**3 +x(32)*yy**3 +x(33)*zz**3
5373 & +x(34)*(xx**2)*yy +x(35)*(xx**2)*zz +x(36)*(yy**2)*xx
5374 & +x(37)*(yy**2)*zz +x(38)*(zz**2)*xx +x(39)*(zz**2)*yy
5376 sumene4= x(41) +x(42)*xx +x(43)*yy +x(44)*zz +x(45)*xx**2
5377 & +x(46)*yy**2 +x(47)*zz**2 +x(48)*xx*zz +x(49)*xx*yy
5378 & +x(50)*yy*zz +x(51)*xx**3 +x(52)*yy**3 +x(53)*zz**3
5379 & +x(54)*(xx**2)*yy +x(55)*(xx**2)*zz +x(56)*(yy**2)*xx
5380 & +x(57)*(yy**2)*zz +x(58)*(zz**2)*xx +x(59)*(zz**2)*yy
5382 dsc_i = 0.743d0+x(61)
5384 dscp1=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5385 & *(xx*cost2tab(i+1)+yy*sint2tab(i+1)))
5386 dscp2=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5387 & *(xx*cost2tab(i+1)-yy*sint2tab(i+1)))
5388 s1=(1+x(63))/(0.1d0 + dscp1)
5389 s1_6=(1+x(64))/(0.1d0 + dscp1**6)
5390 s2=(1+x(65))/(0.1d0 + dscp2)
5391 s2_6=(1+x(65))/(0.1d0 + dscp2**6)
5392 sumene = ( sumene3*sint2tab(i+1) + sumene1)*(s1+s1_6)
5393 & + (sumene4*cost2tab(i+1) +sumene2)*(s2+s2_6)
5394 c write(2,'(i2," sumene",7f9.3)') i,sumene1,sumene2,sumene3,
5396 c & dscp1,dscp2,sumene
5397 c sumene = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5398 escloc = escloc + sumene
5399 c write (2,*) "i",i," escloc",sumene,escloc
5402 C This section to check the numerical derivatives of the energy of ith side
5403 C chain in xx, yy, zz, and theta. Use the -DDEBUG compiler option or insert
5404 C #define DEBUG in the code to turn it on.
5406 write (2,*) "sumene =",sumene
5410 write (2,*) xx,yy,zz
5411 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5412 de_dxx_num=(sumenep-sumene)/aincr
5414 write (2,*) "xx+ sumene from enesc=",sumenep
5417 write (2,*) xx,yy,zz
5418 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5419 de_dyy_num=(sumenep-sumene)/aincr
5421 write (2,*) "yy+ sumene from enesc=",sumenep
5424 write (2,*) xx,yy,zz
5425 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5426 de_dzz_num=(sumenep-sumene)/aincr
5428 write (2,*) "zz+ sumene from enesc=",sumenep
5429 costsave=cost2tab(i+1)
5430 sintsave=sint2tab(i+1)
5431 cost2tab(i+1)=dcos(0.5d0*(theta(i+1)+aincr))
5432 sint2tab(i+1)=dsin(0.5d0*(theta(i+1)+aincr))
5433 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5434 de_dt_num=(sumenep-sumene)/aincr
5435 write (2,*) " t+ sumene from enesc=",sumenep
5436 cost2tab(i+1)=costsave
5437 sint2tab(i+1)=sintsave
5438 C End of diagnostics section.
5441 C Compute the gradient of esc
5443 pom_s1=(1.0d0+x(63))/(0.1d0 + dscp1)**2
5444 pom_s16=6*(1.0d0+x(64))/(0.1d0 + dscp1**6)**2
5445 pom_s2=(1.0d0+x(65))/(0.1d0 + dscp2)**2
5446 pom_s26=6*(1.0d0+x(65))/(0.1d0 + dscp2**6)**2
5447 pom_dx=dsc_i*dp2_i*cost2tab(i+1)
5448 pom_dy=dsc_i*dp2_i*sint2tab(i+1)
5449 pom_dt1=-0.5d0*dsc_i*dp2_i*(xx*sint2tab(i+1)-yy*cost2tab(i+1))
5450 pom_dt2=-0.5d0*dsc_i*dp2_i*(xx*sint2tab(i+1)+yy*cost2tab(i+1))
5451 pom1=(sumene3*sint2tab(i+1)+sumene1)
5452 & *(pom_s1/dscp1+pom_s16*dscp1**4)
5453 pom2=(sumene4*cost2tab(i+1)+sumene2)
5454 & *(pom_s2/dscp2+pom_s26*dscp2**4)
5455 sumene1x=x(2)+2*x(5)*xx+x(8)*zz+ x(9)*yy
5456 sumene3x=x(22)+2*x(25)*xx+x(28)*zz+x(29)*yy+3*x(31)*xx**2
5457 & +2*x(34)*xx*yy +2*x(35)*xx*zz +x(36)*(yy**2) +x(38)*(zz**2)
5459 sumene2x=x(12)+2*x(15)*xx+x(18)*zz+ x(19)*yy
5460 sumene4x=x(42)+2*x(45)*xx +x(48)*zz +x(49)*yy +3*x(51)*xx**2
5461 & +2*x(54)*xx*yy+2*x(55)*xx*zz+x(56)*(yy**2)+x(58)*(zz**2)
5463 de_dxx =(sumene1x+sumene3x*sint2tab(i+1))*(s1+s1_6)
5464 & +(sumene2x+sumene4x*cost2tab(i+1))*(s2+s2_6)
5465 & +(pom1+pom2)*pom_dx
5467 write(2,*), "de_dxx = ", de_dxx,de_dxx_num
5470 sumene1y=x(3) + 2*x(6)*yy + x(9)*xx + x(10)*zz
5471 sumene3y=x(23) +2*x(26)*yy +x(29)*xx +x(30)*zz +3*x(32)*yy**2
5472 & +x(34)*(xx**2) +2*x(36)*yy*xx +2*x(37)*yy*zz +x(39)*(zz**2)
5474 sumene2y=x(13) + 2*x(16)*yy + x(19)*xx + x(20)*zz
5475 sumene4y=x(43)+2*x(46)*yy+x(49)*xx +x(50)*zz
5476 & +3*x(52)*yy**2+x(54)*xx**2+2*x(56)*yy*xx +2*x(57)*yy*zz
5477 & +x(59)*zz**2 +x(60)*xx*zz
5478 de_dyy =(sumene1y+sumene3y*sint2tab(i+1))*(s1+s1_6)
5479 & +(sumene2y+sumene4y*cost2tab(i+1))*(s2+s2_6)
5480 & +(pom1-pom2)*pom_dy
5482 write(2,*), "de_dyy = ", de_dyy,de_dyy_num
5485 de_dzz =(x(24) +2*x(27)*zz +x(28)*xx +x(30)*yy
5486 & +3*x(33)*zz**2 +x(35)*xx**2 +x(37)*yy**2 +2*x(38)*zz*xx
5487 & +2*x(39)*zz*yy +x(40)*xx*yy)*sint2tab(i+1)*(s1+s1_6)
5488 & +(x(4) + 2*x(7)*zz+ x(8)*xx + x(10)*yy)*(s1+s1_6)
5489 & +(x(44)+2*x(47)*zz +x(48)*xx +x(50)*yy +3*x(53)*zz**2
5490 & +x(55)*xx**2 +x(57)*(yy**2)+2*x(58)*zz*xx +2*x(59)*zz*yy
5491 & +x(60)*xx*yy)*cost2tab(i+1)*(s2+s2_6)
5492 & + ( x(14) + 2*x(17)*zz+ x(18)*xx + x(20)*yy)*(s2+s2_6)
5494 write(2,*), "de_dzz = ", de_dzz,de_dzz_num
5497 de_dt = 0.5d0*sumene3*cost2tab(i+1)*(s1+s1_6)
5498 & -0.5d0*sumene4*sint2tab(i+1)*(s2+s2_6)
5499 & +pom1*pom_dt1+pom2*pom_dt2
5501 write(2,*), "de_dt = ", de_dt,de_dt_num
5505 cossc=scalar(dc_norm(1,i),dc_norm(1,i+nres))
5506 cossc1=scalar(dc_norm(1,i-1),dc_norm(1,i+nres))
5507 cosfac2xx=cosfac2*xx
5508 sinfac2yy=sinfac2*yy
5510 dt_dCi(k) = -(dc_norm(k,i-1)+costtab(i+1)*dc_norm(k,i))*
5512 dt_dCi1(k)= -(dc_norm(k,i)+costtab(i+1)*dc_norm(k,i-1))*
5514 pom=(dC_norm(k,i+nres)-cossc*dC_norm(k,i))*vbld_inv(i+1)
5515 pom1=(dC_norm(k,i+nres)-cossc1*dC_norm(k,i-1))*vbld_inv(i)
5516 c write (iout,*) "i",i," k",k," pom",pom," pom1",pom1,
5517 c & " dt_dCi",dt_dCi(k)," dt_dCi1",dt_dCi1(k)
5518 c write (iout,*) "dC_norm",(dC_norm(j,i),j=1,3),
5519 c & (dC_norm(j,i-1),j=1,3)," vbld_inv",vbld_inv(i+1),vbld_inv(i)
5520 dXX_Ci(k)=pom*cosfac-dt_dCi(k)*cosfac2xx
5521 dXX_Ci1(k)=-pom1*cosfac-dt_dCi1(k)*cosfac2xx
5522 dYY_Ci(k)=pom*sinfac+dt_dCi(k)*sinfac2yy
5523 dYY_Ci1(k)=pom1*sinfac+dt_dCi1(k)*sinfac2yy
5527 dZZ_Ci(k)=dZZ_Ci(k)-uzgrad(j,k,2,i-1)*dC_norm(j,i+nres)
5528 dZZ_Ci1(k)=dZZ_Ci1(k)-uzgrad(j,k,1,i-1)*dC_norm(j,i+nres)
5531 dXX_XYZ(k)=vbld_inv(i+nres)*(x_prime(k)-xx*dC_norm(k,i+nres))
5532 dYY_XYZ(k)=vbld_inv(i+nres)*(y_prime(k)-yy*dC_norm(k,i+nres))
5533 dZZ_XYZ(k)=vbld_inv(i+nres)*(z_prime(k)-zz*dC_norm(k,i+nres))
5535 dt_dCi(k) = -dt_dCi(k)/sinttab(i+1)
5536 dt_dCi1(k)= -dt_dCi1(k)/sinttab(i+1)
5540 dXX_Ctab(k,i)=dXX_Ci(k)
5541 dXX_C1tab(k,i)=dXX_Ci1(k)
5542 dYY_Ctab(k,i)=dYY_Ci(k)
5543 dYY_C1tab(k,i)=dYY_Ci1(k)
5544 dZZ_Ctab(k,i)=dZZ_Ci(k)
5545 dZZ_C1tab(k,i)=dZZ_Ci1(k)
5546 dXX_XYZtab(k,i)=dXX_XYZ(k)
5547 dYY_XYZtab(k,i)=dYY_XYZ(k)
5548 dZZ_XYZtab(k,i)=dZZ_XYZ(k)
5552 c write (iout,*) "k",k," dxx_ci1",dxx_ci1(k)," dyy_ci1",
5553 c & dyy_ci1(k)," dzz_ci1",dzz_ci1(k)
5554 c write (iout,*) "k",k," dxx_ci",dxx_ci(k)," dyy_ci",
5555 c & dyy_ci(k)," dzz_ci",dzz_ci(k)
5556 c write (iout,*) "k",k," dt_dci",dt_dci(k)," dt_dci",
5558 c write (iout,*) "k",k," dxx_XYZ",dxx_XYZ(k)," dyy_XYZ",
5559 c & dyy_XYZ(k)," dzz_XYZ",dzz_XYZ(k)
5560 gscloc(k,i-1)=gscloc(k,i-1)+de_dxx*dxx_ci1(k)
5561 & +de_dyy*dyy_ci1(k)+de_dzz*dzz_ci1(k)+de_dt*dt_dCi1(k)
5562 gscloc(k,i)=gscloc(k,i)+de_dxx*dxx_Ci(k)
5563 & +de_dyy*dyy_Ci(k)+de_dzz*dzz_Ci(k)+de_dt*dt_dCi(k)
5564 gsclocx(k,i)= de_dxx*dxx_XYZ(k)
5565 & +de_dyy*dyy_XYZ(k)+de_dzz*dzz_XYZ(k)
5567 c write(iout,*) "ENERGY GRAD = ", (gscloc(k,i-1),k=1,3),
5568 c & (gscloc(k,i),k=1,3),(gsclocx(k,i),k=1,3)
5570 C to check gradient call subroutine check_grad
5576 c------------------------------------------------------------------------------
5577 double precision function enesc(x,xx,yy,zz,cost2,sint2)
5579 double precision x(65),xx,yy,zz,cost2,sint2,sumene1,sumene2,
5580 & sumene3,sumene4,sumene,dsc_i,dp2_i,dscp1,dscp2,s1,s1_6,s2,s2_6
5581 sumene1= x(1)+ x(2)*xx+ x(3)*yy+ x(4)*zz+ x(5)*xx**2
5582 & + x(6)*yy**2+ x(7)*zz**2+ x(8)*xx*zz+ x(9)*xx*yy
5584 sumene2= x(11) + x(12)*xx + x(13)*yy + x(14)*zz + x(15)*xx**2
5585 & + x(16)*yy**2 + x(17)*zz**2 + x(18)*xx*zz + x(19)*xx*yy
5587 sumene3= x(21) +x(22)*xx +x(23)*yy +x(24)*zz +x(25)*xx**2
5588 & +x(26)*yy**2 +x(27)*zz**2 +x(28)*xx*zz +x(29)*xx*yy
5589 & +x(30)*yy*zz +x(31)*xx**3 +x(32)*yy**3 +x(33)*zz**3
5590 & +x(34)*(xx**2)*yy +x(35)*(xx**2)*zz +x(36)*(yy**2)*xx
5591 & +x(37)*(yy**2)*zz +x(38)*(zz**2)*xx +x(39)*(zz**2)*yy
5593 sumene4= x(41) +x(42)*xx +x(43)*yy +x(44)*zz +x(45)*xx**2
5594 & +x(46)*yy**2 +x(47)*zz**2 +x(48)*xx*zz +x(49)*xx*yy
5595 & +x(50)*yy*zz +x(51)*xx**3 +x(52)*yy**3 +x(53)*zz**3
5596 & +x(54)*(xx**2)*yy +x(55)*(xx**2)*zz +x(56)*(yy**2)*xx
5597 & +x(57)*(yy**2)*zz +x(58)*(zz**2)*xx +x(59)*(zz**2)*yy
5599 dsc_i = 0.743d0+x(61)
5601 dscp1=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5602 & *(xx*cost2+yy*sint2))
5603 dscp2=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5604 & *(xx*cost2-yy*sint2))
5605 s1=(1+x(63))/(0.1d0 + dscp1)
5606 s1_6=(1+x(64))/(0.1d0 + dscp1**6)
5607 s2=(1+x(65))/(0.1d0 + dscp2)
5608 s2_6=(1+x(65))/(0.1d0 + dscp2**6)
5609 sumene = ( sumene3*sint2 + sumene1)*(s1+s1_6)
5610 & + (sumene4*cost2 +sumene2)*(s2+s2_6)
5615 c------------------------------------------------------------------------------
5616 subroutine gcont(rij,r0ij,eps0ij,delta,fcont,fprimcont)
5618 C This procedure calculates two-body contact function g(rij) and its derivative:
5621 C g(rij) = esp0ij*(-0.9375*x+0.625*x**3-0.1875*x**5) ! -1 =< x =< 1
5624 C where x=(rij-r0ij)/delta
5626 C rij - interbody distance, r0ij - contact distance, eps0ij - contact energy
5629 double precision rij,r0ij,eps0ij,fcont,fprimcont
5630 double precision x,x2,x4,delta
5634 if (x.lt.-1.0D0) then
5637 else if (x.le.1.0D0) then
5640 fcont=eps0ij*(x*(-0.9375D0+0.6250D0*x2-0.1875D0*x4)+0.5D0)
5641 fprimcont=eps0ij * (-0.9375D0+1.8750D0*x2-0.9375D0*x4)/delta
5648 c------------------------------------------------------------------------------
5649 subroutine splinthet(theti,delta,ss,ssder)
5650 implicit real*8 (a-h,o-z)
5651 include 'DIMENSIONS'
5652 include 'COMMON.VAR'
5653 include 'COMMON.GEO'
5656 if (theti.gt.pipol) then
5657 call gcont(theti,thetup,1.0d0,delta,ss,ssder)
5659 call gcont(-theti,-thetlow,1.0d0,delta,ss,ssder)
5664 c------------------------------------------------------------------------------
5665 subroutine spline1(x,x0,delta,f0,f1,fprim0,f,fprim)
5667 double precision x,x0,delta,f0,f1,fprim0,f,fprim
5668 double precision ksi,ksi2,ksi3,a1,a2,a3
5669 a1=fprim0*delta/(f1-f0)
5675 f=f0+(f1-f0)*ksi*(a1+ksi*(a2+a3*ksi))
5676 fprim=(f1-f0)/delta*(a1+ksi*(2*a2+3*ksi*a3))
5679 c------------------------------------------------------------------------------
5680 subroutine spline2(x,x0,delta,f0x,f1x,fprim0x,fx)
5682 double precision x,x0,delta,f0x,f1x,fprim0x,fx
5683 double precision ksi,ksi2,ksi3,a1,a2,a3
5688 a2=3*(f1x-f0x)-2*fprim0x*delta
5689 a3=fprim0x*delta-2*(f1x-f0x)
5690 fx=f0x+a1*ksi+a2*ksi2+a3*ksi3
5693 C-----------------------------------------------------------------------------
5695 C-----------------------------------------------------------------------------
5696 subroutine etor(etors,edihcnstr)
5697 implicit real*8 (a-h,o-z)
5698 include 'DIMENSIONS'
5699 include 'COMMON.VAR'
5700 include 'COMMON.GEO'
5701 include 'COMMON.LOCAL'
5702 include 'COMMON.TORSION'
5703 include 'COMMON.INTERACT'
5704 include 'COMMON.DERIV'
5705 include 'COMMON.CHAIN'
5706 include 'COMMON.NAMES'
5707 include 'COMMON.IOUNITS'
5708 include 'COMMON.FFIELD'
5709 include 'COMMON.TORCNSTR'
5710 include 'COMMON.CONTROL'
5712 C Set lprn=.true. for debugging
5716 do i=iphi_start,iphi_end
5718 itori=itortyp(itype(i-2))
5719 itori1=itortyp(itype(i-1))
5722 C Proline-Proline pair is a special case...
5723 if (itori.eq.3 .and. itori1.eq.3) then
5724 if (phii.gt.-dwapi3) then
5726 fac=1.0D0/(1.0D0-cosphi)
5727 etorsi=v1(1,3,3)*fac
5728 etorsi=etorsi+etorsi
5729 etors=etors+etorsi-v1(1,3,3)
5730 if (energy_dec) etors_ii=etors_ii+etorsi-v1(1,3,3)
5731 gloci=gloci-3*fac*etorsi*dsin(3*phii)
5734 v1ij=v1(j+1,itori,itori1)
5735 v2ij=v2(j+1,itori,itori1)
5738 etors=etors+v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5739 if (energy_dec) etors_ii=etors_ii+
5740 & v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5741 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5745 v1ij=v1(j,itori,itori1)
5746 v2ij=v2(j,itori,itori1)
5749 etors=etors+v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5750 if (energy_dec) etors_ii=etors_ii+
5751 & v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5752 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5755 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5758 & write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
5759 & restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
5760 & (v1(j,itori,itori1),j=1,6),(v2(j,itori,itori1),j=1,6)
5761 gloc(i-3,icg)=gloc(i-3,icg)+wtor*gloci
5762 write (iout,*) 'i=',i,' gloc=',gloc(i-3,icg)
5764 ! 6/20/98 - dihedral angle constraints
5767 itori=idih_constr(i)
5770 if (difi.gt.drange(i)) then
5772 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5773 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5774 else if (difi.lt.-drange(i)) then
5776 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5777 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5779 ! write (iout,'(2i5,2f8.3,2e14.5)') i,itori,rad2deg*phii,
5780 ! & rad2deg*difi,0.25d0*ftors*difi**4,gloc(itori-3,icg)
5782 ! write (iout,*) 'edihcnstr',edihcnstr
5785 c------------------------------------------------------------------------------
5786 subroutine etor_d(etors_d)
5790 c----------------------------------------------------------------------------
5792 subroutine etor(etors,edihcnstr)
5793 implicit real*8 (a-h,o-z)
5794 include 'DIMENSIONS'
5795 include 'COMMON.VAR'
5796 include 'COMMON.GEO'
5797 include 'COMMON.LOCAL'
5798 include 'COMMON.TORSION'
5799 include 'COMMON.INTERACT'
5800 include 'COMMON.DERIV'
5801 include 'COMMON.CHAIN'
5802 include 'COMMON.NAMES'
5803 include 'COMMON.IOUNITS'
5804 include 'COMMON.FFIELD'
5805 include 'COMMON.TORCNSTR'
5806 include 'COMMON.CONTROL'
5808 C Set lprn=.true. for debugging
5812 do i=iphi_start,iphi_end
5814 itori=itortyp(itype(i-2))
5815 itori1=itortyp(itype(i-1))
5818 C Regular cosine and sine terms
5819 do j=1,nterm(itori,itori1)
5820 v1ij=v1(j,itori,itori1)
5821 v2ij=v2(j,itori,itori1)
5824 etors=etors+v1ij*cosphi+v2ij*sinphi
5825 if (energy_dec) etors_ii=etors_ii+
5826 & v1ij*cosphi+v2ij*sinphi
5827 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5831 C E = SUM ----------------------------------- - v1
5832 C [v2 cos(phi/2)+v3 sin(phi/2)]^2 + 1
5834 cosphi=dcos(0.5d0*phii)
5835 sinphi=dsin(0.5d0*phii)
5836 do j=1,nlor(itori,itori1)
5837 vl1ij=vlor1(j,itori,itori1)
5838 vl2ij=vlor2(j,itori,itori1)
5839 vl3ij=vlor3(j,itori,itori1)
5840 pom=vl2ij*cosphi+vl3ij*sinphi
5841 pom1=1.0d0/(pom*pom+1.0d0)
5842 etors=etors+vl1ij*pom1
5843 if (energy_dec) etors_ii=etors_ii+
5846 gloci=gloci+vl1ij*(vl3ij*cosphi-vl2ij*sinphi)*pom
5848 C Subtract the constant term
5849 etors=etors-v0(itori,itori1)
5850 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5851 & 'etor',i,etors_ii-v0(itori,itori1)
5853 & write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
5854 & restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
5855 & (v1(j,itori,itori1),j=1,6),(v2(j,itori,itori1),j=1,6)
5856 gloc(i-3,icg)=gloc(i-3,icg)+wtor*gloci
5857 c write (iout,*) 'i=',i,' gloc=',gloc(i-3,icg)
5859 ! 6/20/98 - dihedral angle constraints
5861 c do i=1,ndih_constr
5862 do i=idihconstr_start,idihconstr_end
5863 itori=idih_constr(i)
5865 difi=pinorm(phii-phi0(i))
5866 if (difi.gt.drange(i)) then
5868 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5869 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5870 else if (difi.lt.-drange(i)) then
5872 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5873 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5877 c write (iout,*) "gloci", gloc(i-3,icg)
5878 cd write (iout,'(2i5,4f8.3,2e14.5)') i,itori,rad2deg*phii,
5879 cd & rad2deg*phi0(i), rad2deg*drange(i),
5880 cd & rad2deg*difi,0.25d0*ftors*difi**4,gloc(itori-3,icg)
5882 cd write (iout,*) 'edihcnstr',edihcnstr
5885 c----------------------------------------------------------------------------
5886 subroutine etor_d(etors_d)
5887 C 6/23/01 Compute double torsional energy
5888 implicit real*8 (a-h,o-z)
5889 include 'DIMENSIONS'
5890 include 'COMMON.VAR'
5891 include 'COMMON.GEO'
5892 include 'COMMON.LOCAL'
5893 include 'COMMON.TORSION'
5894 include 'COMMON.INTERACT'
5895 include 'COMMON.DERIV'
5896 include 'COMMON.CHAIN'
5897 include 'COMMON.NAMES'
5898 include 'COMMON.IOUNITS'
5899 include 'COMMON.FFIELD'
5900 include 'COMMON.TORCNSTR'
5901 include 'COMMON.CONTROL'
5903 C Set lprn=.true. for debugging
5907 do i=iphid_start,iphid_end
5909 itori=itortyp(itype(i-2))
5910 itori1=itortyp(itype(i-1))
5911 itori2=itortyp(itype(i))
5916 do j=1,ntermd_1(itori,itori1,itori2)
5917 v1cij=v1c(1,j,itori,itori1,itori2)
5918 v1sij=v1s(1,j,itori,itori1,itori2)
5919 v2cij=v1c(2,j,itori,itori1,itori2)
5920 v2sij=v1s(2,j,itori,itori1,itori2)
5921 cosphi1=dcos(j*phii)
5922 sinphi1=dsin(j*phii)
5923 cosphi2=dcos(j*phii1)
5924 sinphi2=dsin(j*phii1)
5925 etors_d=etors_d+v1cij*cosphi1+v1sij*sinphi1+
5926 & v2cij*cosphi2+v2sij*sinphi2
5927 if (energy_dec) etors_d_ii=etors_d_ii+
5928 & v1cij*cosphi1+v1sij*sinphi1+v2cij*cosphi2+v2sij*sinphi2
5929 gloci1=gloci1+j*(v1sij*cosphi1-v1cij*sinphi1)
5930 gloci2=gloci2+j*(v2sij*cosphi2-v2cij*sinphi2)
5932 do k=2,ntermd_2(itori,itori1,itori2)
5934 v1cdij = v2c(k,l,itori,itori1,itori2)
5935 v2cdij = v2c(l,k,itori,itori1,itori2)
5936 v1sdij = v2s(k,l,itori,itori1,itori2)
5937 v2sdij = v2s(l,k,itori,itori1,itori2)
5938 cosphi1p2=dcos(l*phii+(k-l)*phii1)
5939 cosphi1m2=dcos(l*phii-(k-l)*phii1)
5940 sinphi1p2=dsin(l*phii+(k-l)*phii1)
5941 sinphi1m2=dsin(l*phii-(k-l)*phii1)
5942 etors_d=etors_d+v1cdij*cosphi1p2+v2cdij*cosphi1m2+
5943 & v1sdij*sinphi1p2+v2sdij*sinphi1m2
5944 if (energy_dec) etors_d_ii=etors_d_ii+
5945 & v1cdij*cosphi1p2+v2cdij*cosphi1m2+
5946 & v1sdij*sinphi1p2+v2sdij*sinphi1m2
5947 gloci1=gloci1+l*(v1sdij*cosphi1p2+v2sdij*cosphi1m2
5948 & -v1cdij*sinphi1p2-v2cdij*sinphi1m2)
5949 gloci2=gloci2+(k-l)*(v1sdij*cosphi1p2-v2sdij*cosphi1m2
5950 & -v1cdij*sinphi1p2+v2cdij*sinphi1m2)
5953 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5954 & 'etor_d',i,etors_d_ii
5955 gloc(i-3,icg)=gloc(i-3,icg)+wtor_d*gloci1
5956 gloc(i-2,icg)=gloc(i-2,icg)+wtor_d*gloci2
5957 c write (iout,*) "gloci", gloc(i-3,icg)
5962 c------------------------------------------------------------------------------
5963 subroutine eback_sc_corr(esccor)
5964 c 7/21/2007 Correlations between the backbone-local and side-chain-local
5965 c conformational states; temporarily implemented as differences
5966 c between UNRES torsional potentials (dependent on three types of
5967 c residues) and the torsional potentials dependent on all 20 types
5968 c of residues computed from AM1 energy surfaces of terminally-blocked
5969 c amino-acid residues.
5970 implicit real*8 (a-h,o-z)
5971 include 'DIMENSIONS'
5972 include 'COMMON.VAR'
5973 include 'COMMON.GEO'
5974 include 'COMMON.LOCAL'
5975 include 'COMMON.TORSION'
5976 include 'COMMON.SCCOR'
5977 include 'COMMON.INTERACT'
5978 include 'COMMON.DERIV'
5979 include 'COMMON.CHAIN'
5980 include 'COMMON.NAMES'
5981 include 'COMMON.IOUNITS'
5982 include 'COMMON.FFIELD'
5983 include 'COMMON.CONTROL'
5985 C Set lprn=.true. for debugging
5988 c write (iout,*) "EBACK_SC_COR",iphi_start,iphi_end,nterm_sccor
5990 do i=itau_start,itau_end
5993 if ((itype(i-2).eq.ntyp1).or.(itype(i-1).eq.ntyp1)) cycle
5994 isccori=isccortyp(itype(i-2))
5995 isccori1=isccortyp(itype(i-1))
5998 cccc Added 9 May 2012
5999 cc Tauangle is torsional engle depending on the value of first digit
6000 c(see comment below)
6001 cc Omicron is flat angle depending on the value of first digit
6002 c(see comment below)
6003 C print *,i,tauangle(1,i)
6005 c do intertyp=1,3 !intertyp
6006 do intertyp=2,2 !intertyp
6007 cc Added 09 May 2012 (Adasko)
6008 cc Intertyp means interaction type of backbone mainchain correlation:
6009 c 1 = SC...Ca...Ca...Ca
6010 c 2 = Ca...Ca...Ca...SC
6011 c 3 = SC...Ca...Ca...SCi
6013 if (((intertyp.eq.3).and.((itype(i-2).eq.10).or.
6014 & (itype(i-1).eq.10).or.(itype(i-2).eq.21).or.
6015 & (itype(i-1).eq.21)))
6016 & .or. ((intertyp.eq.1).and.((itype(i-2).eq.10)
6017 & .or.(itype(i-2).eq.21)))
6018 & .or.((intertyp.eq.2).and.((itype(i-1).eq.10).or.
6019 & (itype(i-1).eq.21)))) cycle
6020 if ((intertyp.eq.2).and.(i.eq.4).and.(itype(1).eq.21)) cycle
6021 if ((intertyp.eq.1).and.(i.eq.nres).and.(itype(nres).eq.21))
6023 do j=1,nterm_sccor(isccori,isccori1)
6024 v1ij=v1sccor(j,intertyp,isccori,isccori1)
6025 v2ij=v2sccor(j,intertyp,isccori,isccori1)
6026 cosphi=dcos(j*tauangle(intertyp,i))
6027 sinphi=dsin(j*tauangle(intertyp,i))
6028 esccor=esccor+v1ij*cosphi+v2ij*sinphi
6029 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
6031 C print *,i,tauangle(1,i),gloci
6032 gloc_sc(intertyp,i-3,icg)=gloc_sc(intertyp,i-3,icg)+wsccor*gloci
6033 c write (iout,*) "WTF",intertyp,i,itype(i),v1ij*cosphi+v2ij*sinphi
6034 c &gloc_sc(intertyp,i-3,icg)
6036 & write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
6037 & restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
6038 & (v1sccor(j,intertyp,itori,itori1),j=1,6)
6039 & ,(v2sccor(j,intertyp,itori,itori1),j=1,6)
6040 gsccor_loc(i-3)=gsccor_loc(i-3)+gloci
6044 c write (iout,*) "W@T@F", gloc_sc(1,i,icg),gloc_sc(2,i,icg),
6045 c & gloc_sc(3,i,icg)
6049 c----------------------------------------------------------------------------
6050 subroutine multibody(ecorr)
6051 C This subroutine calculates multi-body contributions to energy following
6052 C the idea of Skolnick et al. If side chains I and J make a contact and
6053 C at the same time side chains I+1 and J+1 make a contact, an extra
6054 C contribution equal to sqrt(eps(i,j)*eps(i+1,j+1)) is added.
6055 implicit real*8 (a-h,o-z)
6056 include 'DIMENSIONS'
6057 include 'COMMON.IOUNITS'
6058 include 'COMMON.DERIV'
6059 include 'COMMON.INTERACT'
6060 include 'COMMON.CONTACTS'
6061 double precision gx(3),gx1(3)
6064 C Set lprn=.true. for debugging
6068 write (iout,'(a)') 'Contact function values:'
6070 write (iout,'(i2,20(1x,i2,f10.5))')
6071 & i,(jcont(j,i),facont(j,i),j=1,num_cont(i))
6086 num_conti=num_cont(i)
6087 num_conti1=num_cont(i1)
6092 if (j1.eq.j+ishift .or. j1.eq.j-ishift) then
6093 cd write(iout,*)'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6094 cd & ' ishift=',ishift
6095 C Contacts I--J and I+ISHIFT--J+-ISHIFT1 occur simultaneously.
6096 C The system gains extra energy.
6097 ecorr=ecorr+esccorr(i,j,i1,j1,jj,kk)
6098 endif ! j1==j+-ishift
6107 c------------------------------------------------------------------------------
6108 double precision function esccorr(i,j,k,l,jj,kk)
6109 implicit real*8 (a-h,o-z)
6110 include 'DIMENSIONS'
6111 include 'COMMON.IOUNITS'
6112 include 'COMMON.DERIV'
6113 include 'COMMON.INTERACT'
6114 include 'COMMON.CONTACTS'
6115 double precision gx(3),gx1(3)
6120 cd write (iout,'(4i5,3f10.5)') i,j,k,l,eij,ekl,-eij*ekl
6121 C Calculate the multi-body contribution to energy.
6122 C Calculate multi-body contributions to the gradient.
6123 cd write (iout,'(2(2i3,3f10.5))')i,j,(gacont(m,jj,i),m=1,3),
6124 cd & k,l,(gacont(m,kk,k),m=1,3)
6126 gx(m) =ekl*gacont(m,jj,i)
6127 gx1(m)=eij*gacont(m,kk,k)
6128 gradxorr(m,i)=gradxorr(m,i)-gx(m)
6129 gradxorr(m,j)=gradxorr(m,j)+gx(m)
6130 gradxorr(m,k)=gradxorr(m,k)-gx1(m)
6131 gradxorr(m,l)=gradxorr(m,l)+gx1(m)
6135 gradcorr(ll,m)=gradcorr(ll,m)+gx(ll)
6140 gradcorr(ll,m)=gradcorr(ll,m)+gx1(ll)
6146 c------------------------------------------------------------------------------
6147 subroutine multibody_hb(ecorr,ecorr5,ecorr6,n_corr,n_corr1)
6148 C This subroutine calculates multi-body contributions to hydrogen-bonding
6149 implicit real*8 (a-h,o-z)
6150 include 'DIMENSIONS'
6151 include 'COMMON.IOUNITS'
6154 parameter (max_cont=maxconts)
6155 parameter (max_dim=26)
6156 integer source,CorrelType,CorrelID,CorrelType1,CorrelID1,Error
6157 double precision zapas(max_dim,maxconts,max_fg_procs),
6158 & zapas_recv(max_dim,maxconts,max_fg_procs)
6159 common /przechowalnia/ zapas
6160 integer status(MPI_STATUS_SIZE),req(maxconts*2),
6161 & status_array(MPI_STATUS_SIZE,maxconts*2)
6163 include 'COMMON.SETUP'
6164 include 'COMMON.FFIELD'
6165 include 'COMMON.DERIV'
6166 include 'COMMON.INTERACT'
6167 include 'COMMON.CONTACTS'
6168 include 'COMMON.CONTROL'
6169 include 'COMMON.LOCAL'
6170 double precision gx(3),gx1(3),time00
6173 C Set lprn=.true. for debugging
6178 if (nfgtasks.le.1) goto 30
6180 write (iout,'(a)') 'Contact function values before RECEIVE:'
6182 write (iout,'(2i3,50(1x,i2,f5.2))')
6183 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6184 & j=1,num_cont_hb(i))
6188 do i=1,ntask_cont_from
6191 do i=1,ntask_cont_to
6194 c write (iout,*) "ntask_cont_from",ntask_cont_from," ntask_cont_to",
6196 C Make the list of contacts to send to send to other procesors
6197 c write (iout,*) "limits",max0(iturn4_end-1,iatel_s),iturn3_end
6199 do i=iturn3_start,iturn3_end
6200 c write (iout,*) "make contact list turn3",i," num_cont",
6202 call add_hb_contact(i,i+2,iturn3_sent_local(1,i))
6204 do i=iturn4_start,iturn4_end
6205 c write (iout,*) "make contact list turn4",i," num_cont",
6207 call add_hb_contact(i,i+3,iturn4_sent_local(1,i))
6211 c write (iout,*) "make contact list longrange",i,ii," num_cont",
6213 do j=1,num_cont_hb(i)
6216 iproc=iint_sent_local(k,jjc,ii)
6217 c write (iout,*) "i",i," j",j," k",k," jjc",jjc," iproc",iproc
6218 if (iproc.gt.0) then
6219 ncont_sent(iproc)=ncont_sent(iproc)+1
6220 nn=ncont_sent(iproc)
6222 zapas(2,nn,iproc)=jjc
6223 zapas(3,nn,iproc)=facont_hb(j,i)
6224 zapas(4,nn,iproc)=ees0p(j,i)
6225 zapas(5,nn,iproc)=ees0m(j,i)
6226 zapas(6,nn,iproc)=gacont_hbr(1,j,i)
6227 zapas(7,nn,iproc)=gacont_hbr(2,j,i)
6228 zapas(8,nn,iproc)=gacont_hbr(3,j,i)
6229 zapas(9,nn,iproc)=gacontm_hb1(1,j,i)
6230 zapas(10,nn,iproc)=gacontm_hb1(2,j,i)
6231 zapas(11,nn,iproc)=gacontm_hb1(3,j,i)
6232 zapas(12,nn,iproc)=gacontp_hb1(1,j,i)
6233 zapas(13,nn,iproc)=gacontp_hb1(2,j,i)
6234 zapas(14,nn,iproc)=gacontp_hb1(3,j,i)
6235 zapas(15,nn,iproc)=gacontm_hb2(1,j,i)
6236 zapas(16,nn,iproc)=gacontm_hb2(2,j,i)
6237 zapas(17,nn,iproc)=gacontm_hb2(3,j,i)
6238 zapas(18,nn,iproc)=gacontp_hb2(1,j,i)
6239 zapas(19,nn,iproc)=gacontp_hb2(2,j,i)
6240 zapas(20,nn,iproc)=gacontp_hb2(3,j,i)
6241 zapas(21,nn,iproc)=gacontm_hb3(1,j,i)
6242 zapas(22,nn,iproc)=gacontm_hb3(2,j,i)
6243 zapas(23,nn,iproc)=gacontm_hb3(3,j,i)
6244 zapas(24,nn,iproc)=gacontp_hb3(1,j,i)
6245 zapas(25,nn,iproc)=gacontp_hb3(2,j,i)
6246 zapas(26,nn,iproc)=gacontp_hb3(3,j,i)
6253 & "Numbers of contacts to be sent to other processors",
6254 & (ncont_sent(i),i=1,ntask_cont_to)
6255 write (iout,*) "Contacts sent"
6256 do ii=1,ntask_cont_to
6258 iproc=itask_cont_to(ii)
6259 write (iout,*) nn," contacts to processor",iproc,
6260 & " of CONT_TO_COMM group"
6262 write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
6270 CorrelID1=nfgtasks+fg_rank+1
6272 C Receive the numbers of needed contacts from other processors
6273 do ii=1,ntask_cont_from
6274 iproc=itask_cont_from(ii)
6276 call MPI_Irecv(ncont_recv(ii),1,MPI_INTEGER,iproc,CorrelType,
6277 & FG_COMM,req(ireq),IERR)
6279 c write (iout,*) "IRECV ended"
6281 C Send the number of contacts needed by other processors
6282 do ii=1,ntask_cont_to
6283 iproc=itask_cont_to(ii)
6285 call MPI_Isend(ncont_sent(ii),1,MPI_INTEGER,iproc,CorrelType,
6286 & FG_COMM,req(ireq),IERR)
6288 c write (iout,*) "ISEND ended"
6289 c write (iout,*) "number of requests (nn)",ireq
6292 & call MPI_Waitall(ireq,req,status_array,ierr)
6294 c & "Numbers of contacts to be received from other processors",
6295 c & (ncont_recv(i),i=1,ntask_cont_from)
6299 do ii=1,ntask_cont_from
6300 iproc=itask_cont_from(ii)
6302 c write (iout,*) "Receiving",nn," contacts from processor",iproc,
6303 c & " of CONT_TO_COMM group"
6307 call MPI_Irecv(zapas_recv(1,1,ii),nn*max_dim,
6308 & MPI_DOUBLE_PRECISION,iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6309 c write (iout,*) "ireq,req",ireq,req(ireq)
6312 C Send the contacts to processors that need them
6313 do ii=1,ntask_cont_to
6314 iproc=itask_cont_to(ii)
6316 c write (iout,*) nn," contacts to processor",iproc,
6317 c & " of CONT_TO_COMM group"
6320 call MPI_Isend(zapas(1,1,ii),nn*max_dim,MPI_DOUBLE_PRECISION,
6321 & iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6322 c write (iout,*) "ireq,req",ireq,req(ireq)
6324 c write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
6328 c write (iout,*) "number of requests (contacts)",ireq
6329 c write (iout,*) "req",(req(i),i=1,4)
6332 & call MPI_Waitall(ireq,req,status_array,ierr)
6333 do iii=1,ntask_cont_from
6334 iproc=itask_cont_from(iii)
6337 write (iout,*) "Received",nn," contacts from processor",iproc,
6338 & " of CONT_FROM_COMM group"
6341 write(iout,'(2f5.0,4f10.5)')(zapas_recv(j,i,iii),j=1,5)
6346 ii=zapas_recv(1,i,iii)
6347 c Flag the received contacts to prevent double-counting
6348 jj=-zapas_recv(2,i,iii)
6349 c write (iout,*) "iii",iii," i",i," ii",ii," jj",jj
6351 nnn=num_cont_hb(ii)+1
6354 facont_hb(nnn,ii)=zapas_recv(3,i,iii)
6355 ees0p(nnn,ii)=zapas_recv(4,i,iii)
6356 ees0m(nnn,ii)=zapas_recv(5,i,iii)
6357 gacont_hbr(1,nnn,ii)=zapas_recv(6,i,iii)
6358 gacont_hbr(2,nnn,ii)=zapas_recv(7,i,iii)
6359 gacont_hbr(3,nnn,ii)=zapas_recv(8,i,iii)
6360 gacontm_hb1(1,nnn,ii)=zapas_recv(9,i,iii)
6361 gacontm_hb1(2,nnn,ii)=zapas_recv(10,i,iii)
6362 gacontm_hb1(3,nnn,ii)=zapas_recv(11,i,iii)
6363 gacontp_hb1(1,nnn,ii)=zapas_recv(12,i,iii)
6364 gacontp_hb1(2,nnn,ii)=zapas_recv(13,i,iii)
6365 gacontp_hb1(3,nnn,ii)=zapas_recv(14,i,iii)
6366 gacontm_hb2(1,nnn,ii)=zapas_recv(15,i,iii)
6367 gacontm_hb2(2,nnn,ii)=zapas_recv(16,i,iii)
6368 gacontm_hb2(3,nnn,ii)=zapas_recv(17,i,iii)
6369 gacontp_hb2(1,nnn,ii)=zapas_recv(18,i,iii)
6370 gacontp_hb2(2,nnn,ii)=zapas_recv(19,i,iii)
6371 gacontp_hb2(3,nnn,ii)=zapas_recv(20,i,iii)
6372 gacontm_hb3(1,nnn,ii)=zapas_recv(21,i,iii)
6373 gacontm_hb3(2,nnn,ii)=zapas_recv(22,i,iii)
6374 gacontm_hb3(3,nnn,ii)=zapas_recv(23,i,iii)
6375 gacontp_hb3(1,nnn,ii)=zapas_recv(24,i,iii)
6376 gacontp_hb3(2,nnn,ii)=zapas_recv(25,i,iii)
6377 gacontp_hb3(3,nnn,ii)=zapas_recv(26,i,iii)
6382 write (iout,'(a)') 'Contact function values after receive:'
6384 write (iout,'(2i3,50(1x,i3,f5.2))')
6385 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6386 & j=1,num_cont_hb(i))
6393 write (iout,'(a)') 'Contact function values:'
6395 write (iout,'(2i3,50(1x,i3,f5.2))')
6396 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6397 & j=1,num_cont_hb(i))
6401 C Remove the loop below after debugging !!!
6408 C Calculate the local-electrostatic correlation terms
6409 do i=min0(iatel_s,iturn4_start),max0(iatel_e,iturn3_end)
6411 num_conti=num_cont_hb(i)
6412 num_conti1=num_cont_hb(i+1)
6419 c write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6420 c & ' jj=',jj,' kk=',kk
6421 if ((j.gt.0 .and. j1.gt.0 .or. j.gt.0 .and. j1.lt.0
6422 & .or. j.lt.0 .and. j1.gt.0) .and.
6423 & (jp1.eq.jp+1 .or. jp1.eq.jp-1)) then
6424 C Contacts I-J and (I+1)-(J+1) or (I+1)-(J-1) occur simultaneously.
6425 C The system gains extra energy.
6426 ecorr=ecorr+ehbcorr(i,jp,i+1,jp1,jj,kk,0.72D0,0.32D0)
6427 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
6428 & 'ecorrh',i,j,ehbcorr(i,j,i+1,j1,jj,kk,0.72D0,0.32D0)
6430 else if (j1.eq.j) then
6431 C Contacts I-J and I-(J+1) occur simultaneously.
6432 C The system loses extra energy.
6433 c ecorr=ecorr+ehbcorr(i,j,i+1,j,jj,kk,0.60D0,-0.40D0)
6438 c write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6439 c & ' jj=',jj,' kk=',kk
6441 C Contacts I-J and (I+1)-J occur simultaneously.
6442 C The system loses extra energy.
6443 c ecorr=ecorr+ehbcorr(i,j,i,j+1,jj,kk,0.60D0,-0.40D0)
6450 c------------------------------------------------------------------------------
6451 subroutine add_hb_contact(ii,jj,itask)
6452 implicit real*8 (a-h,o-z)
6453 include "DIMENSIONS"
6454 include "COMMON.IOUNITS"
6457 parameter (max_cont=maxconts)
6458 parameter (max_dim=26)
6459 include "COMMON.CONTACTS"
6460 double precision zapas(max_dim,maxconts,max_fg_procs),
6461 & zapas_recv(max_dim,maxconts,max_fg_procs)
6462 common /przechowalnia/ zapas
6463 integer i,j,ii,jj,iproc,itask(4),nn
6464 c write (iout,*) "itask",itask
6467 if (iproc.gt.0) then
6468 do j=1,num_cont_hb(ii)
6470 c write (iout,*) "i",ii," j",jj," jjc",jjc
6472 ncont_sent(iproc)=ncont_sent(iproc)+1
6473 nn=ncont_sent(iproc)
6474 zapas(1,nn,iproc)=ii
6475 zapas(2,nn,iproc)=jjc
6476 zapas(3,nn,iproc)=facont_hb(j,ii)
6477 zapas(4,nn,iproc)=ees0p(j,ii)
6478 zapas(5,nn,iproc)=ees0m(j,ii)
6479 zapas(6,nn,iproc)=gacont_hbr(1,j,ii)
6480 zapas(7,nn,iproc)=gacont_hbr(2,j,ii)
6481 zapas(8,nn,iproc)=gacont_hbr(3,j,ii)
6482 zapas(9,nn,iproc)=gacontm_hb1(1,j,ii)
6483 zapas(10,nn,iproc)=gacontm_hb1(2,j,ii)
6484 zapas(11,nn,iproc)=gacontm_hb1(3,j,ii)
6485 zapas(12,nn,iproc)=gacontp_hb1(1,j,ii)
6486 zapas(13,nn,iproc)=gacontp_hb1(2,j,ii)
6487 zapas(14,nn,iproc)=gacontp_hb1(3,j,ii)
6488 zapas(15,nn,iproc)=gacontm_hb2(1,j,ii)
6489 zapas(16,nn,iproc)=gacontm_hb2(2,j,ii)
6490 zapas(17,nn,iproc)=gacontm_hb2(3,j,ii)
6491 zapas(18,nn,iproc)=gacontp_hb2(1,j,ii)
6492 zapas(19,nn,iproc)=gacontp_hb2(2,j,ii)
6493 zapas(20,nn,iproc)=gacontp_hb2(3,j,ii)
6494 zapas(21,nn,iproc)=gacontm_hb3(1,j,ii)
6495 zapas(22,nn,iproc)=gacontm_hb3(2,j,ii)
6496 zapas(23,nn,iproc)=gacontm_hb3(3,j,ii)
6497 zapas(24,nn,iproc)=gacontp_hb3(1,j,ii)
6498 zapas(25,nn,iproc)=gacontp_hb3(2,j,ii)
6499 zapas(26,nn,iproc)=gacontp_hb3(3,j,ii)
6507 c------------------------------------------------------------------------------
6508 subroutine multibody_eello(ecorr,ecorr5,ecorr6,eturn6,n_corr,
6510 C This subroutine calculates multi-body contributions to hydrogen-bonding
6511 implicit real*8 (a-h,o-z)
6512 include 'DIMENSIONS'
6513 include 'COMMON.IOUNITS'
6516 parameter (max_cont=maxconts)
6517 parameter (max_dim=70)
6518 integer source,CorrelType,CorrelID,CorrelType1,CorrelID1,Error
6519 double precision zapas(max_dim,maxconts,max_fg_procs),
6520 & zapas_recv(max_dim,maxconts,max_fg_procs)
6521 common /przechowalnia/ zapas
6522 integer status(MPI_STATUS_SIZE),req(maxconts*2),
6523 & status_array(MPI_STATUS_SIZE,maxconts*2)
6525 include 'COMMON.SETUP'
6526 include 'COMMON.FFIELD'
6527 include 'COMMON.DERIV'
6528 include 'COMMON.LOCAL'
6529 include 'COMMON.INTERACT'
6530 include 'COMMON.CONTACTS'
6531 include 'COMMON.CHAIN'
6532 include 'COMMON.CONTROL'
6533 double precision gx(3),gx1(3)
6534 integer num_cont_hb_old(maxres)
6536 double precision eello4,eello5,eelo6,eello_turn6
6537 external eello4,eello5,eello6,eello_turn6
6538 C Set lprn=.true. for debugging
6543 num_cont_hb_old(i)=num_cont_hb(i)
6547 if (nfgtasks.le.1) goto 30
6549 write (iout,'(a)') 'Contact function values before RECEIVE:'
6551 write (iout,'(2i3,50(1x,i2,f5.2))')
6552 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6553 & j=1,num_cont_hb(i))
6557 do i=1,ntask_cont_from
6560 do i=1,ntask_cont_to
6563 c write (iout,*) "ntask_cont_from",ntask_cont_from," ntask_cont_to",
6565 C Make the list of contacts to send to send to other procesors
6566 do i=iturn3_start,iturn3_end
6567 c write (iout,*) "make contact list turn3",i," num_cont",
6569 call add_hb_contact_eello(i,i+2,iturn3_sent_local(1,i))
6571 do i=iturn4_start,iturn4_end
6572 c write (iout,*) "make contact list turn4",i," num_cont",
6574 call add_hb_contact_eello(i,i+3,iturn4_sent_local(1,i))
6578 c write (iout,*) "make contact list longrange",i,ii," num_cont",
6580 do j=1,num_cont_hb(i)
6583 iproc=iint_sent_local(k,jjc,ii)
6584 c write (iout,*) "i",i," j",j," k",k," jjc",jjc," iproc",iproc
6585 if (iproc.ne.0) then
6586 ncont_sent(iproc)=ncont_sent(iproc)+1
6587 nn=ncont_sent(iproc)
6589 zapas(2,nn,iproc)=jjc
6590 zapas(3,nn,iproc)=d_cont(j,i)
6594 zapas(ind,nn,iproc)=grij_hb_cont(kk,j,i)
6599 zapas(ind,nn,iproc)=a_chuj(ll,kk,j,i)
6607 zapas(ind,nn,iproc)=a_chuj_der(mm,ll,kk,jj,j,i)
6618 & "Numbers of contacts to be sent to other processors",
6619 & (ncont_sent(i),i=1,ntask_cont_to)
6620 write (iout,*) "Contacts sent"
6621 do ii=1,ntask_cont_to
6623 iproc=itask_cont_to(ii)
6624 write (iout,*) nn," contacts to processor",iproc,
6625 & " of CONT_TO_COMM group"
6627 write(iout,'(2f5.0,10f10.5)')(zapas(j,i,ii),j=1,10)
6635 CorrelID1=nfgtasks+fg_rank+1
6637 C Receive the numbers of needed contacts from other processors
6638 do ii=1,ntask_cont_from
6639 iproc=itask_cont_from(ii)
6641 call MPI_Irecv(ncont_recv(ii),1,MPI_INTEGER,iproc,CorrelType,
6642 & FG_COMM,req(ireq),IERR)
6644 c write (iout,*) "IRECV ended"
6646 C Send the number of contacts needed by other processors
6647 do ii=1,ntask_cont_to
6648 iproc=itask_cont_to(ii)
6650 call MPI_Isend(ncont_sent(ii),1,MPI_INTEGER,iproc,CorrelType,
6651 & FG_COMM,req(ireq),IERR)
6653 c write (iout,*) "ISEND ended"
6654 c write (iout,*) "number of requests (nn)",ireq
6657 & call MPI_Waitall(ireq,req,status_array,ierr)
6659 c & "Numbers of contacts to be received from other processors",
6660 c & (ncont_recv(i),i=1,ntask_cont_from)
6664 do ii=1,ntask_cont_from
6665 iproc=itask_cont_from(ii)
6667 c write (iout,*) "Receiving",nn," contacts from processor",iproc,
6668 c & " of CONT_TO_COMM group"
6672 call MPI_Irecv(zapas_recv(1,1,ii),nn*max_dim,
6673 & MPI_DOUBLE_PRECISION,iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6674 c write (iout,*) "ireq,req",ireq,req(ireq)
6677 C Send the contacts to processors that need them
6678 do ii=1,ntask_cont_to
6679 iproc=itask_cont_to(ii)
6681 c write (iout,*) nn," contacts to processor",iproc,
6682 c & " of CONT_TO_COMM group"
6685 call MPI_Isend(zapas(1,1,ii),nn*max_dim,MPI_DOUBLE_PRECISION,
6686 & iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6687 c write (iout,*) "ireq,req",ireq,req(ireq)
6689 c write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
6693 c write (iout,*) "number of requests (contacts)",ireq
6694 c write (iout,*) "req",(req(i),i=1,4)
6697 & call MPI_Waitall(ireq,req,status_array,ierr)
6698 do iii=1,ntask_cont_from
6699 iproc=itask_cont_from(iii)
6702 write (iout,*) "Received",nn," contacts from processor",iproc,
6703 & " of CONT_FROM_COMM group"
6706 write(iout,'(2f5.0,10f10.5)')(zapas_recv(j,i,iii),j=1,10)
6711 ii=zapas_recv(1,i,iii)
6712 c Flag the received contacts to prevent double-counting
6713 jj=-zapas_recv(2,i,iii)
6714 c write (iout,*) "iii",iii," i",i," ii",ii," jj",jj
6716 nnn=num_cont_hb(ii)+1
6719 d_cont(nnn,ii)=zapas_recv(3,i,iii)
6723 grij_hb_cont(kk,nnn,ii)=zapas_recv(ind,i,iii)
6728 a_chuj(ll,kk,nnn,ii)=zapas_recv(ind,i,iii)
6736 a_chuj_der(mm,ll,kk,jj,nnn,ii)=zapas_recv(ind,i,iii)
6745 write (iout,'(a)') 'Contact function values after receive:'
6747 write (iout,'(2i3,50(1x,i3,5f6.3))')
6748 & i,num_cont_hb(i),(jcont_hb(j,i),d_cont(j,i),
6749 & ((a_chuj(ll,kk,j,i),ll=1,2),kk=1,2),j=1,num_cont_hb(i))
6756 write (iout,'(a)') 'Contact function values:'
6758 write (iout,'(2i3,50(1x,i2,5f6.3))')
6759 & i,num_cont_hb(i),(jcont_hb(j,i),d_cont(j,i),
6760 & ((a_chuj(ll,kk,j,i),ll=1,2),kk=1,2),j=1,num_cont_hb(i))
6766 C Remove the loop below after debugging !!!
6773 C Calculate the dipole-dipole interaction energies
6774 if (wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0) then
6775 do i=iatel_s,iatel_e+1
6776 num_conti=num_cont_hb(i)
6785 C Calculate the local-electrostatic correlation terms
6786 c write (iout,*) "gradcorr5 in eello5 before loop"
6788 c write (iout,'(i5,3f10.5)')
6789 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6791 do i=min0(iatel_s,iturn4_start),max0(iatel_e+1,iturn3_end+1)
6792 c write (iout,*) "corr loop i",i
6794 num_conti=num_cont_hb(i)
6795 num_conti1=num_cont_hb(i+1)
6802 c write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6803 c & ' jj=',jj,' kk=',kk
6804 c if (j1.eq.j+1 .or. j1.eq.j-1) then
6805 if ((j.gt.0 .and. j1.gt.0 .or. j.gt.0 .and. j1.lt.0
6806 & .or. j.lt.0 .and. j1.gt.0) .and.
6807 & (jp1.eq.jp+1 .or. jp1.eq.jp-1)) then
6808 C Contacts I-J and (I+1)-(J+1) or (I+1)-(J-1) occur simultaneously.
6809 C The system gains extra energy.
6811 sqd1=dsqrt(d_cont(jj,i))
6812 sqd2=dsqrt(d_cont(kk,i1))
6813 sred_geom = sqd1*sqd2
6814 IF (sred_geom.lt.cutoff_corr) THEN
6815 call gcont(sred_geom,r0_corr,1.0D0,delt_corr,
6817 cd write (iout,*) 'i=',i,' j=',jp,' i1=',i1,' j1=',jp1,
6818 cd & ' jj=',jj,' kk=',kk
6819 fac_prim1=0.5d0*sqd2/sqd1*fprimcont
6820 fac_prim2=0.5d0*sqd1/sqd2*fprimcont
6822 g_contij(l,1)=fac_prim1*grij_hb_cont(l,jj,i)
6823 g_contij(l,2)=fac_prim2*grij_hb_cont(l,kk,i1)
6826 cd write (iout,*) 'sred_geom=',sred_geom,
6827 cd & ' ekont=',ekont,' fprim=',fprimcont,
6828 cd & ' fac_prim1',fac_prim1,' fac_prim2',fac_prim2
6829 cd write (iout,*) "g_contij",g_contij
6830 cd write (iout,*) "grij_hb_cont i",grij_hb_cont(:,jj,i)
6831 cd write (iout,*) "grij_hb_cont i1",grij_hb_cont(:,jj,i1)
6832 call calc_eello(i,jp,i+1,jp1,jj,kk)
6833 if (wcorr4.gt.0.0d0)
6834 & ecorr=ecorr+eello4(i,jp,i+1,jp1,jj,kk)
6835 if (energy_dec.and.wcorr4.gt.0.0d0)
6836 1 write (iout,'(a6,4i5,0pf7.3)')
6837 2 'ecorr4',i,j,i+1,j1,eello4(i,jp,i+1,jp1,jj,kk)
6838 c write (iout,*) "gradcorr5 before eello5"
6840 c write (iout,'(i5,3f10.5)')
6841 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6843 if (wcorr5.gt.0.0d0)
6844 & ecorr5=ecorr5+eello5(i,jp,i+1,jp1,jj,kk)
6845 c write (iout,*) "gradcorr5 after eello5"
6847 c write (iout,'(i5,3f10.5)')
6848 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6850 if (energy_dec.and.wcorr5.gt.0.0d0)
6851 1 write (iout,'(a6,4i5,0pf7.3)')
6852 2 'ecorr5',i,j,i+1,j1,eello5(i,jp,i+1,jp1,jj,kk)
6853 cd write(2,*)'wcorr6',wcorr6,' wturn6',wturn6
6854 cd write(2,*)'ijkl',i,jp,i+1,jp1
6855 if (wcorr6.gt.0.0d0 .and. (jp.ne.i+4 .or. jp1.ne.i+3
6856 & .or. wturn6.eq.0.0d0))then
6857 cd write (iout,*) '******ecorr6: i,j,i+1,j1',i,j,i+1,j1
6858 ecorr6=ecorr6+eello6(i,jp,i+1,jp1,jj,kk)
6859 if (energy_dec) write (iout,'(a6,4i5,0pf7.3)')
6860 1 'ecorr6',i,j,i+1,j1,eello6(i,jp,i+1,jp1,jj,kk)
6861 cd write (iout,*) 'ecorr',ecorr,' ecorr5=',ecorr5,
6862 cd & 'ecorr6=',ecorr6
6863 cd write (iout,'(4e15.5)') sred_geom,
6864 cd & dabs(eello4(i,jp,i+1,jp1,jj,kk)),
6865 cd & dabs(eello5(i,jp,i+1,jp1,jj,kk)),
6866 cd & dabs(eello6(i,jp,i+1,jp1,jj,kk))
6867 else if (wturn6.gt.0.0d0
6868 & .and. (jp.eq.i+4 .and. jp1.eq.i+3)) then
6869 cd write (iout,*) '******eturn6: i,j,i+1,j1',i,jip,i+1,jp1
6870 eturn6=eturn6+eello_turn6(i,jj,kk)
6871 if (energy_dec) write (iout,'(a6,4i5,0pf7.3)')
6872 1 'eturn6',i,j,i+1,j1,eello_turn6(i,jj,kk)
6873 cd write (2,*) 'multibody_eello:eturn6',eturn6
6882 num_cont_hb(i)=num_cont_hb_old(i)
6884 c write (iout,*) "gradcorr5 in eello5"
6886 c write (iout,'(i5,3f10.5)')
6887 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6891 c------------------------------------------------------------------------------
6892 subroutine add_hb_contact_eello(ii,jj,itask)
6893 implicit real*8 (a-h,o-z)
6894 include "DIMENSIONS"
6895 include "COMMON.IOUNITS"
6898 parameter (max_cont=maxconts)
6899 parameter (max_dim=70)
6900 include "COMMON.CONTACTS"
6901 double precision zapas(max_dim,maxconts,max_fg_procs),
6902 & zapas_recv(max_dim,maxconts,max_fg_procs)
6903 common /przechowalnia/ zapas
6904 integer i,j,ii,jj,iproc,itask(4),nn
6905 c write (iout,*) "itask",itask
6908 if (iproc.gt.0) then
6909 do j=1,num_cont_hb(ii)
6911 c write (iout,*) "send turns i",ii," j",jj," jjc",jjc
6913 ncont_sent(iproc)=ncont_sent(iproc)+1
6914 nn=ncont_sent(iproc)
6915 zapas(1,nn,iproc)=ii
6916 zapas(2,nn,iproc)=jjc
6917 zapas(3,nn,iproc)=d_cont(j,ii)
6921 zapas(ind,nn,iproc)=grij_hb_cont(kk,j,ii)
6926 zapas(ind,nn,iproc)=a_chuj(ll,kk,j,ii)
6934 zapas(ind,nn,iproc)=a_chuj_der(mm,ll,kk,jj,j,ii)
6946 c------------------------------------------------------------------------------
6947 double precision function ehbcorr(i,j,k,l,jj,kk,coeffp,coeffm)
6948 implicit real*8 (a-h,o-z)
6949 include 'DIMENSIONS'
6950 include 'COMMON.IOUNITS'
6951 include 'COMMON.DERIV'
6952 include 'COMMON.INTERACT'
6953 include 'COMMON.CONTACTS'
6954 double precision gx(3),gx1(3)
6964 ees=-(coeffp*ees0pij*ees0pkl+coeffm*ees0mij*ees0mkl)
6965 cd ees=-(coeffp*ees0pkl+coeffm*ees0mkl)
6966 C Following 4 lines for diagnostics.
6971 c write (iout,'(2(a,2i3,a,f10.5,a,2f10.5),a,f10.5,a,$)')
6972 c & 'Contacts ',i,j,
6973 c & ' eij',eij,' eesij',ees0pij,ees0mij,' and ',k,l
6974 c & ,' fcont ',ekl,' eeskl',ees0pkl,ees0mkl,' energy=',ekont*ees,
6976 C Calculate the multi-body contribution to energy.
6977 c ecorr=ecorr+ekont*ees
6978 C Calculate multi-body contributions to the gradient.
6979 coeffpees0pij=coeffp*ees0pij
6980 coeffmees0mij=coeffm*ees0mij
6981 coeffpees0pkl=coeffp*ees0pkl
6982 coeffmees0mkl=coeffm*ees0mkl
6984 cgrad ghalfi=ees*ekl*gacont_hbr(ll,jj,i)
6985 gradcorr(ll,i)=gradcorr(ll,i)!+0.5d0*ghalfi
6986 & -ekont*(coeffpees0pkl*gacontp_hb1(ll,jj,i)+
6987 & coeffmees0mkl*gacontm_hb1(ll,jj,i))
6988 gradcorr(ll,j)=gradcorr(ll,j)!+0.5d0*ghalfi
6989 & -ekont*(coeffpees0pkl*gacontp_hb2(ll,jj,i)+
6990 & coeffmees0mkl*gacontm_hb2(ll,jj,i))
6991 cgrad ghalfk=ees*eij*gacont_hbr(ll,kk,k)
6992 gradcorr(ll,k)=gradcorr(ll,k)!+0.5d0*ghalfk
6993 & -ekont*(coeffpees0pij*gacontp_hb1(ll,kk,k)+
6994 & coeffmees0mij*gacontm_hb1(ll,kk,k))
6995 gradcorr(ll,l)=gradcorr(ll,l)!+0.5d0*ghalfk
6996 & -ekont*(coeffpees0pij*gacontp_hb2(ll,kk,k)+
6997 & coeffmees0mij*gacontm_hb2(ll,kk,k))
6998 gradlongij=ees*ekl*gacont_hbr(ll,jj,i)-
6999 & ekont*(coeffpees0pkl*gacontp_hb3(ll,jj,i)+
7000 & coeffmees0mkl*gacontm_hb3(ll,jj,i))
7001 gradcorr_long(ll,j)=gradcorr_long(ll,j)+gradlongij
7002 gradcorr_long(ll,i)=gradcorr_long(ll,i)-gradlongij
7003 gradlongkl=ees*eij*gacont_hbr(ll,kk,k)-
7004 & ekont*(coeffpees0pij*gacontp_hb3(ll,kk,k)+
7005 & coeffmees0mij*gacontm_hb3(ll,kk,k))
7006 gradcorr_long(ll,l)=gradcorr_long(ll,l)+gradlongkl
7007 gradcorr_long(ll,k)=gradcorr_long(ll,k)-gradlongkl
7008 c write (iout,'(2f10.5,2x,$)') gradlongij,gradlongkl
7013 cgrad gradcorr(ll,m)=gradcorr(ll,m)+
7014 cgrad & ees*ekl*gacont_hbr(ll,jj,i)-
7015 cgrad & ekont*(coeffp*ees0pkl*gacontp_hb3(ll,jj,i)+
7016 cgrad & coeffm*ees0mkl*gacontm_hb3(ll,jj,i))
7021 cgrad gradcorr(ll,m)=gradcorr(ll,m)+
7022 cgrad & ees*eij*gacont_hbr(ll,kk,k)-
7023 cgrad & ekont*(coeffp*ees0pij*gacontp_hb3(ll,kk,k)+
7024 cgrad & coeffm*ees0mij*gacontm_hb3(ll,kk,k))
7027 c write (iout,*) "ehbcorr",ekont*ees
7032 C---------------------------------------------------------------------------
7033 subroutine dipole(i,j,jj)
7034 implicit real*8 (a-h,o-z)
7035 include 'DIMENSIONS'
7036 include 'COMMON.IOUNITS'
7037 include 'COMMON.CHAIN'
7038 include 'COMMON.FFIELD'
7039 include 'COMMON.DERIV'
7040 include 'COMMON.INTERACT'
7041 include 'COMMON.CONTACTS'
7042 include 'COMMON.TORSION'
7043 include 'COMMON.VAR'
7044 include 'COMMON.GEO'
7045 dimension dipi(2,2),dipj(2,2),dipderi(2),dipderj(2),auxvec(2),
7047 iti1 = itortyp(itype(i+1))
7048 if (j.lt.nres-1) then
7049 itj1 = itortyp(itype(j+1))
7054 dipi(iii,1)=Ub2(iii,i)
7055 dipderi(iii)=Ub2der(iii,i)
7056 dipi(iii,2)=b1(iii,iti1)
7057 dipj(iii,1)=Ub2(iii,j)
7058 dipderj(iii)=Ub2der(iii,j)
7059 dipj(iii,2)=b1(iii,itj1)
7063 call matvec2(a_chuj(1,1,jj,i),dipj(1,iii),auxvec(1))
7066 dip(kkk,jj,i)=scalar2(dipi(1,jjj),auxvec(1))
7073 call matvec2(a_chuj_der(1,1,lll,kkk,jj,i),dipj(1,iii),
7077 dipderx(lll,kkk,mmm,jj,i)=scalar2(dipi(1,jjj),auxvec(1))
7082 call transpose2(a_chuj(1,1,jj,i),auxmat(1,1))
7083 call matvec2(auxmat(1,1),dipderi(1),auxvec(1))
7085 dipderg(iii,jj,i)=scalar2(auxvec(1),dipj(1,iii))
7087 call matvec2(a_chuj(1,1,jj,i),dipderj(1),auxvec(1))
7089 dipderg(iii+2,jj,i)=scalar2(auxvec(1),dipi(1,iii))
7094 C---------------------------------------------------------------------------
7095 subroutine calc_eello(i,j,k,l,jj,kk)
7097 C This subroutine computes matrices and vectors needed to calculate
7098 C the fourth-, fifth-, and sixth-order local-electrostatic terms.
7100 implicit real*8 (a-h,o-z)
7101 include 'DIMENSIONS'
7102 include 'COMMON.IOUNITS'
7103 include 'COMMON.CHAIN'
7104 include 'COMMON.DERIV'
7105 include 'COMMON.INTERACT'
7106 include 'COMMON.CONTACTS'
7107 include 'COMMON.TORSION'
7108 include 'COMMON.VAR'
7109 include 'COMMON.GEO'
7110 include 'COMMON.FFIELD'
7111 double precision aa1(2,2),aa2(2,2),aa1t(2,2),aa2t(2,2),
7112 & aa1tder(2,2,3,5),aa2tder(2,2,3,5),auxmat(2,2)
7115 cd write (iout,*) 'calc_eello: i=',i,' j=',j,' k=',k,' l=',l,
7116 cd & ' jj=',jj,' kk=',kk
7117 cd if (i.ne.2 .or. j.ne.4 .or. k.ne.3 .or. l.ne.5) return
7118 cd write (iout,*) "a_chujij",((a_chuj(iii,jjj,jj,i),iii=1,2),jjj=1,2)
7119 cd write (iout,*) "a_chujkl",((a_chuj(iii,jjj,kk,k),iii=1,2),jjj=1,2)
7122 aa1(iii,jjj)=a_chuj(iii,jjj,jj,i)
7123 aa2(iii,jjj)=a_chuj(iii,jjj,kk,k)
7126 call transpose2(aa1(1,1),aa1t(1,1))
7127 call transpose2(aa2(1,1),aa2t(1,1))
7130 call transpose2(a_chuj_der(1,1,lll,kkk,jj,i),
7131 & aa1tder(1,1,lll,kkk))
7132 call transpose2(a_chuj_der(1,1,lll,kkk,kk,k),
7133 & aa2tder(1,1,lll,kkk))
7137 C parallel orientation of the two CA-CA-CA frames.
7139 iti=itortyp(itype(i))
7143 itk1=itortyp(itype(k+1))
7144 itj=itortyp(itype(j))
7145 if (l.lt.nres-1) then
7146 itl1=itortyp(itype(l+1))
7150 C A1 kernel(j+1) A2T
7152 cd write (iout,'(3f10.5,5x,3f10.5)')
7153 cd & (EUg(iii,jjj,k),jjj=1,2),(EUg(iii,jjj,l),jjj=1,2)
7155 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7156 & aa2tder(1,1,1,1),1,.false.,EUg(1,1,l),EUgder(1,1,l),
7157 & AEA(1,1,1),AEAderg(1,1,1),AEAderx(1,1,1,1,1,1))
7158 C Following matrices are needed only for 6-th order cumulants
7159 IF (wcorr6.gt.0.0d0) THEN
7160 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7161 & aa2tder(1,1,1,1),1,.false.,EUgC(1,1,l),EUgCder(1,1,l),
7162 & AECA(1,1,1),AECAderg(1,1,1),AECAderx(1,1,1,1,1,1))
7163 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7164 & aa2tder(1,1,1,1),2,.false.,Ug2DtEUg(1,1,l),
7165 & Ug2DtEUgder(1,1,1,l),ADtEA(1,1,1),ADtEAderg(1,1,1,1),
7166 & ADtEAderx(1,1,1,1,1,1))
7168 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7169 & aa2tder(1,1,1,1),2,.false.,DtUg2EUg(1,1,l),
7170 & DtUg2EUgder(1,1,1,l),ADtEA1(1,1,1),ADtEA1derg(1,1,1,1),
7171 & ADtEA1derx(1,1,1,1,1,1))
7173 C End 6-th order cumulants
7176 cd write (2,*) 'In calc_eello6'
7178 cd write (2,*) 'iii=',iii
7180 cd write (2,*) 'kkk=',kkk
7182 cd write (2,'(3(2f10.5),5x)')
7183 cd & ((ADtEA1derx(jjj,mmm,lll,kkk,iii,1),mmm=1,2),lll=1,3)
7188 call transpose2(EUgder(1,1,k),auxmat(1,1))
7189 call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,1,1))
7190 call transpose2(EUg(1,1,k),auxmat(1,1))
7191 call matmat2(auxmat(1,1),AEA(1,1,1),EAEA(1,1,1))
7192 call matmat2(auxmat(1,1),AEAderg(1,1,1),EAEAderg(1,1,2,1))
7196 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
7197 & EAEAderx(1,1,lll,kkk,iii,1))
7201 C A1T kernel(i+1) A2
7202 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7203 & a_chuj_der(1,1,1,1,kk,k),1,.false.,EUg(1,1,k),EUgder(1,1,k),
7204 & AEA(1,1,2),AEAderg(1,1,2),AEAderx(1,1,1,1,1,2))
7205 C Following matrices are needed only for 6-th order cumulants
7206 IF (wcorr6.gt.0.0d0) THEN
7207 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7208 & a_chuj_der(1,1,1,1,kk,k),1,.false.,EUgC(1,1,k),EUgCder(1,1,k),
7209 & AECA(1,1,2),AECAderg(1,1,2),AECAderx(1,1,1,1,1,2))
7210 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7211 & a_chuj_der(1,1,1,1,kk,k),2,.false.,Ug2DtEUg(1,1,k),
7212 & Ug2DtEUgder(1,1,1,k),ADtEA(1,1,2),ADtEAderg(1,1,1,2),
7213 & ADtEAderx(1,1,1,1,1,2))
7214 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7215 & a_chuj_der(1,1,1,1,kk,k),2,.false.,DtUg2EUg(1,1,k),
7216 & DtUg2EUgder(1,1,1,k),ADtEA1(1,1,2),ADtEA1derg(1,1,1,2),
7217 & ADtEA1derx(1,1,1,1,1,2))
7219 C End 6-th order cumulants
7220 call transpose2(EUgder(1,1,l),auxmat(1,1))
7221 call matmat2(auxmat(1,1),AEA(1,1,2),EAEAderg(1,1,1,2))
7222 call transpose2(EUg(1,1,l),auxmat(1,1))
7223 call matmat2(auxmat(1,1),AEA(1,1,2),EAEA(1,1,2))
7224 call matmat2(auxmat(1,1),AEAderg(1,1,2),EAEAderg(1,1,2,2))
7228 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7229 & EAEAderx(1,1,lll,kkk,iii,2))
7234 C Calculate the vectors and their derivatives in virtual-bond dihedral angles.
7235 C They are needed only when the fifth- or the sixth-order cumulants are
7237 IF (wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0) THEN
7238 call transpose2(AEA(1,1,1),auxmat(1,1))
7239 call matvec2(auxmat(1,1),b1(1,iti),AEAb1(1,1,1))
7240 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2(1,1,1))
7241 call matvec2(auxmat(1,1),Ub2der(1,i),AEAb2derg(1,2,1,1))
7242 call transpose2(AEAderg(1,1,1),auxmat(1,1))
7243 call matvec2(auxmat(1,1),b1(1,iti),AEAb1derg(1,1,1))
7244 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2derg(1,1,1,1))
7245 call matvec2(AEA(1,1,1),b1(1,itk1),AEAb1(1,2,1))
7246 call matvec2(AEAderg(1,1,1),b1(1,itk1),AEAb1derg(1,2,1))
7247 call matvec2(AEA(1,1,1),Ub2(1,k+1),AEAb2(1,2,1))
7248 call matvec2(AEAderg(1,1,1),Ub2(1,k+1),AEAb2derg(1,1,2,1))
7249 call matvec2(AEA(1,1,1),Ub2der(1,k+1),AEAb2derg(1,2,2,1))
7250 call transpose2(AEA(1,1,2),auxmat(1,1))
7251 call matvec2(auxmat(1,1),b1(1,itj),AEAb1(1,1,2))
7252 call matvec2(auxmat(1,1),Ub2(1,j),AEAb2(1,1,2))
7253 call matvec2(auxmat(1,1),Ub2der(1,j),AEAb2derg(1,2,1,2))
7254 call transpose2(AEAderg(1,1,2),auxmat(1,1))
7255 call matvec2(auxmat(1,1),b1(1,itj),AEAb1derg(1,1,2))
7256 call matvec2(auxmat(1,1),Ub2(1,j),AEAb2derg(1,1,1,2))
7257 call matvec2(AEA(1,1,2),b1(1,itl1),AEAb1(1,2,2))
7258 call matvec2(AEAderg(1,1,2),b1(1,itl1),AEAb1derg(1,2,2))
7259 call matvec2(AEA(1,1,2),Ub2(1,l+1),AEAb2(1,2,2))
7260 call matvec2(AEAderg(1,1,2),Ub2(1,l+1),AEAb2derg(1,1,2,2))
7261 call matvec2(AEA(1,1,2),Ub2der(1,l+1),AEAb2derg(1,2,2,2))
7262 C Calculate the Cartesian derivatives of the vectors.
7266 call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1))
7267 call matvec2(auxmat(1,1),b1(1,iti),
7268 & AEAb1derx(1,lll,kkk,iii,1,1))
7269 call matvec2(auxmat(1,1),Ub2(1,i),
7270 & AEAb2derx(1,lll,kkk,iii,1,1))
7271 call matvec2(AEAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
7272 & AEAb1derx(1,lll,kkk,iii,2,1))
7273 call matvec2(AEAderx(1,1,lll,kkk,iii,1),Ub2(1,k+1),
7274 & AEAb2derx(1,lll,kkk,iii,2,1))
7275 call transpose2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1))
7276 call matvec2(auxmat(1,1),b1(1,itj),
7277 & AEAb1derx(1,lll,kkk,iii,1,2))
7278 call matvec2(auxmat(1,1),Ub2(1,j),
7279 & AEAb2derx(1,lll,kkk,iii,1,2))
7280 call matvec2(AEAderx(1,1,lll,kkk,iii,2),b1(1,itl1),
7281 & AEAb1derx(1,lll,kkk,iii,2,2))
7282 call matvec2(AEAderx(1,1,lll,kkk,iii,2),Ub2(1,l+1),
7283 & AEAb2derx(1,lll,kkk,iii,2,2))
7290 C Antiparallel orientation of the two CA-CA-CA frames.
7292 iti=itortyp(itype(i))
7296 itk1=itortyp(itype(k+1))
7297 itl=itortyp(itype(l))
7298 itj=itortyp(itype(j))
7299 if (j.lt.nres-1) then
7300 itj1=itortyp(itype(j+1))
7304 C A2 kernel(j-1)T A1T
7305 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7306 & aa2tder(1,1,1,1),1,.true.,EUg(1,1,j),EUgder(1,1,j),
7307 & AEA(1,1,1),AEAderg(1,1,1),AEAderx(1,1,1,1,1,1))
7308 C Following matrices are needed only for 6-th order cumulants
7309 IF (wcorr6.gt.0.0d0 .or. (wturn6.gt.0.0d0 .and.
7310 & j.eq.i+4 .and. l.eq.i+3)) THEN
7311 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7312 & aa2tder(1,1,1,1),1,.true.,EUgC(1,1,j),EUgCder(1,1,j),
7313 & AECA(1,1,1),AECAderg(1,1,1),AECAderx(1,1,1,1,1,1))
7314 call kernel(aa2(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7315 & aa2tder(1,1,1,1),2,.true.,Ug2DtEUg(1,1,j),
7316 & Ug2DtEUgder(1,1,1,j),ADtEA(1,1,1),ADtEAderg(1,1,1,1),
7317 & ADtEAderx(1,1,1,1,1,1))
7318 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7319 & aa2tder(1,1,1,1),2,.true.,DtUg2EUg(1,1,j),
7320 & DtUg2EUgder(1,1,1,j),ADtEA1(1,1,1),ADtEA1derg(1,1,1,1),
7321 & ADtEA1derx(1,1,1,1,1,1))
7323 C End 6-th order cumulants
7324 call transpose2(EUgder(1,1,k),auxmat(1,1))
7325 call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,1,1))
7326 call transpose2(EUg(1,1,k),auxmat(1,1))
7327 call matmat2(auxmat(1,1),AEA(1,1,1),EAEA(1,1,1))
7328 call matmat2(auxmat(1,1),AEAderg(1,1,1),EAEAderg(1,1,2,1))
7332 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
7333 & EAEAderx(1,1,lll,kkk,iii,1))
7337 C A2T kernel(i+1)T A1
7338 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7339 & a_chuj_der(1,1,1,1,jj,i),1,.true.,EUg(1,1,k),EUgder(1,1,k),
7340 & AEA(1,1,2),AEAderg(1,1,2),AEAderx(1,1,1,1,1,2))
7341 C Following matrices are needed only for 6-th order cumulants
7342 IF (wcorr6.gt.0.0d0 .or. (wturn6.gt.0.0d0 .and.
7343 & j.eq.i+4 .and. l.eq.i+3)) THEN
7344 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7345 & a_chuj_der(1,1,1,1,jj,i),1,.true.,EUgC(1,1,k),EUgCder(1,1,k),
7346 & AECA(1,1,2),AECAderg(1,1,2),AECAderx(1,1,1,1,1,2))
7347 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7348 & a_chuj_der(1,1,1,1,jj,i),2,.true.,Ug2DtEUg(1,1,k),
7349 & Ug2DtEUgder(1,1,1,k),ADtEA(1,1,2),ADtEAderg(1,1,1,2),
7350 & ADtEAderx(1,1,1,1,1,2))
7351 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7352 & a_chuj_der(1,1,1,1,jj,i),2,.true.,DtUg2EUg(1,1,k),
7353 & DtUg2EUgder(1,1,1,k),ADtEA1(1,1,2),ADtEA1derg(1,1,1,2),
7354 & ADtEA1derx(1,1,1,1,1,2))
7356 C End 6-th order cumulants
7357 call transpose2(EUgder(1,1,j),auxmat(1,1))
7358 call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,2,2))
7359 call transpose2(EUg(1,1,j),auxmat(1,1))
7360 call matmat2(auxmat(1,1),AEA(1,1,2),EAEA(1,1,2))
7361 call matmat2(auxmat(1,1),AEAderg(1,1,2),EAEAderg(1,1,2,2))
7365 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7366 & EAEAderx(1,1,lll,kkk,iii,2))
7371 C Calculate the vectors and their derivatives in virtual-bond dihedral angles.
7372 C They are needed only when the fifth- or the sixth-order cumulants are
7374 IF (wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0 .or.
7375 & (wturn6.gt.0.0d0 .and. j.eq.i+4 .and. l.eq.i+3)) THEN
7376 call transpose2(AEA(1,1,1),auxmat(1,1))
7377 call matvec2(auxmat(1,1),b1(1,iti),AEAb1(1,1,1))
7378 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2(1,1,1))
7379 call matvec2(auxmat(1,1),Ub2der(1,i),AEAb2derg(1,2,1,1))
7380 call transpose2(AEAderg(1,1,1),auxmat(1,1))
7381 call matvec2(auxmat(1,1),b1(1,iti),AEAb1derg(1,1,1))
7382 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2derg(1,1,1,1))
7383 call matvec2(AEA(1,1,1),b1(1,itk1),AEAb1(1,2,1))
7384 call matvec2(AEAderg(1,1,1),b1(1,itk1),AEAb1derg(1,2,1))
7385 call matvec2(AEA(1,1,1),Ub2(1,k+1),AEAb2(1,2,1))
7386 call matvec2(AEAderg(1,1,1),Ub2(1,k+1),AEAb2derg(1,1,2,1))
7387 call matvec2(AEA(1,1,1),Ub2der(1,k+1),AEAb2derg(1,2,2,1))
7388 call transpose2(AEA(1,1,2),auxmat(1,1))
7389 call matvec2(auxmat(1,1),b1(1,itj1),AEAb1(1,1,2))
7390 call matvec2(auxmat(1,1),Ub2(1,l),AEAb2(1,1,2))
7391 call matvec2(auxmat(1,1),Ub2der(1,l),AEAb2derg(1,2,1,2))
7392 call transpose2(AEAderg(1,1,2),auxmat(1,1))
7393 call matvec2(auxmat(1,1),b1(1,itl),AEAb1(1,1,2))
7394 call matvec2(auxmat(1,1),Ub2(1,l),AEAb2derg(1,1,1,2))
7395 call matvec2(AEA(1,1,2),b1(1,itj1),AEAb1(1,2,2))
7396 call matvec2(AEAderg(1,1,2),b1(1,itj1),AEAb1derg(1,2,2))
7397 call matvec2(AEA(1,1,2),Ub2(1,j),AEAb2(1,2,2))
7398 call matvec2(AEAderg(1,1,2),Ub2(1,j),AEAb2derg(1,1,2,2))
7399 call matvec2(AEA(1,1,2),Ub2der(1,j),AEAb2derg(1,2,2,2))
7400 C Calculate the Cartesian derivatives of the vectors.
7404 call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1))
7405 call matvec2(auxmat(1,1),b1(1,iti),
7406 & AEAb1derx(1,lll,kkk,iii,1,1))
7407 call matvec2(auxmat(1,1),Ub2(1,i),
7408 & AEAb2derx(1,lll,kkk,iii,1,1))
7409 call matvec2(AEAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
7410 & AEAb1derx(1,lll,kkk,iii,2,1))
7411 call matvec2(AEAderx(1,1,lll,kkk,iii,1),Ub2(1,k+1),
7412 & AEAb2derx(1,lll,kkk,iii,2,1))
7413 call transpose2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1))
7414 call matvec2(auxmat(1,1),b1(1,itl),
7415 & AEAb1derx(1,lll,kkk,iii,1,2))
7416 call matvec2(auxmat(1,1),Ub2(1,l),
7417 & AEAb2derx(1,lll,kkk,iii,1,2))
7418 call matvec2(AEAderx(1,1,lll,kkk,iii,2),b1(1,itj1),
7419 & AEAb1derx(1,lll,kkk,iii,2,2))
7420 call matvec2(AEAderx(1,1,lll,kkk,iii,2),Ub2(1,j),
7421 & AEAb2derx(1,lll,kkk,iii,2,2))
7430 C---------------------------------------------------------------------------
7431 subroutine kernel(aa1,aa2t,aa1derx,aa2tderx,nderg,transp,
7432 & KK,KKderg,AKA,AKAderg,AKAderx)
7436 double precision aa1(2,2),aa2t(2,2),aa1derx(2,2,3,5),
7437 & aa2tderx(2,2,3,5),KK(2,2),KKderg(2,2,nderg),AKA(2,2),
7438 & AKAderg(2,2,nderg),AKAderx(2,2,3,5,2)
7443 call prodmat3(aa1(1,1),aa2t(1,1),KK(1,1),transp,AKA(1,1))
7445 call prodmat3(aa1(1,1),aa2t(1,1),KKderg(1,1,iii),transp,
7448 cd if (lprn) write (2,*) 'In kernel'
7450 cd if (lprn) write (2,*) 'kkk=',kkk
7452 call prodmat3(aa1derx(1,1,lll,kkk),aa2t(1,1),
7453 & KK(1,1),transp,AKAderx(1,1,lll,kkk,1))
7455 cd write (2,*) 'lll=',lll
7456 cd write (2,*) 'iii=1'
7458 cd write (2,'(3(2f10.5),5x)')
7459 cd & (AKAderx(jjj,mmm,lll,kkk,1),mmm=1,2)
7462 call prodmat3(aa1(1,1),aa2tderx(1,1,lll,kkk),
7463 & KK(1,1),transp,AKAderx(1,1,lll,kkk,2))
7465 cd write (2,*) 'lll=',lll
7466 cd write (2,*) 'iii=2'
7468 cd write (2,'(3(2f10.5),5x)')
7469 cd & (AKAderx(jjj,mmm,lll,kkk,2),mmm=1,2)
7476 C---------------------------------------------------------------------------
7477 double precision function eello4(i,j,k,l,jj,kk)
7478 implicit real*8 (a-h,o-z)
7479 include 'DIMENSIONS'
7480 include 'COMMON.IOUNITS'
7481 include 'COMMON.CHAIN'
7482 include 'COMMON.DERIV'
7483 include 'COMMON.INTERACT'
7484 include 'COMMON.CONTACTS'
7485 include 'COMMON.TORSION'
7486 include 'COMMON.VAR'
7487 include 'COMMON.GEO'
7488 double precision pizda(2,2),ggg1(3),ggg2(3)
7489 cd if (i.ne.1 .or. j.ne.5 .or. k.ne.2 .or.l.ne.4) then
7493 cd print *,'eello4:',i,j,k,l,jj,kk
7494 cd write (2,*) 'i',i,' j',j,' k',k,' l',l
7495 cd call checkint4(i,j,k,l,jj,kk,eel4_num)
7496 cold eij=facont_hb(jj,i)
7497 cold ekl=facont_hb(kk,k)
7499 eel4=-EAEA(1,1,1)-EAEA(2,2,1)
7500 cd eel41=-EAEA(1,1,2)-EAEA(2,2,2)
7501 gcorr_loc(k-1)=gcorr_loc(k-1)
7502 & -ekont*(EAEAderg(1,1,1,1)+EAEAderg(2,2,1,1))
7504 gcorr_loc(l-1)=gcorr_loc(l-1)
7505 & -ekont*(EAEAderg(1,1,2,1)+EAEAderg(2,2,2,1))
7507 gcorr_loc(j-1)=gcorr_loc(j-1)
7508 & -ekont*(EAEAderg(1,1,2,1)+EAEAderg(2,2,2,1))
7513 derx(lll,kkk,iii)=-EAEAderx(1,1,lll,kkk,iii,1)
7514 & -EAEAderx(2,2,lll,kkk,iii,1)
7515 cd derx(lll,kkk,iii)=0.0d0
7519 cd gcorr_loc(l-1)=0.0d0
7520 cd gcorr_loc(j-1)=0.0d0
7521 cd gcorr_loc(k-1)=0.0d0
7523 cd write (iout,*)'Contacts have occurred for peptide groups',
7524 cd & i,j,' fcont:',eij,' eij',' and ',k,l,
7525 cd & ' fcont ',ekl,' eel4=',eel4,' eel4_num',16*eel4_num
7526 if (j.lt.nres-1) then
7533 if (l.lt.nres-1) then
7541 cgrad ggg1(ll)=eel4*g_contij(ll,1)
7542 cgrad ggg2(ll)=eel4*g_contij(ll,2)
7543 glongij=eel4*g_contij(ll,1)+ekont*derx(ll,1,1)
7544 glongkl=eel4*g_contij(ll,2)+ekont*derx(ll,1,2)
7545 cgrad ghalf=0.5d0*ggg1(ll)
7546 gradcorr(ll,i)=gradcorr(ll,i)+ekont*derx(ll,2,1)
7547 gradcorr(ll,i+1)=gradcorr(ll,i+1)+ekont*derx(ll,3,1)
7548 gradcorr(ll,j)=gradcorr(ll,j)+ekont*derx(ll,4,1)
7549 gradcorr(ll,j1)=gradcorr(ll,j1)+ekont*derx(ll,5,1)
7550 gradcorr_long(ll,j)=gradcorr_long(ll,j)+glongij
7551 gradcorr_long(ll,i)=gradcorr_long(ll,i)-glongij
7552 cgrad ghalf=0.5d0*ggg2(ll)
7553 gradcorr(ll,k)=gradcorr(ll,k)+ekont*derx(ll,2,2)
7554 gradcorr(ll,k+1)=gradcorr(ll,k+1)+ekont*derx(ll,3,2)
7555 gradcorr(ll,l)=gradcorr(ll,l)+ekont*derx(ll,4,2)
7556 gradcorr(ll,l1)=gradcorr(ll,l1)+ekont*derx(ll,5,2)
7557 gradcorr_long(ll,l)=gradcorr_long(ll,l)+glongkl
7558 gradcorr_long(ll,k)=gradcorr_long(ll,k)-glongkl
7562 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ggg1(ll)
7567 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ggg2(ll)
7572 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ekont*derx(ll,1,1)
7577 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ekont*derx(ll,1,2)
7581 cd write (2,*) iii,gcorr_loc(iii)
7584 cd write (2,*) 'ekont',ekont
7585 cd write (iout,*) 'eello4',ekont*eel4
7588 C---------------------------------------------------------------------------
7589 double precision function eello5(i,j,k,l,jj,kk)
7590 implicit real*8 (a-h,o-z)
7591 include 'DIMENSIONS'
7592 include 'COMMON.IOUNITS'
7593 include 'COMMON.CHAIN'
7594 include 'COMMON.DERIV'
7595 include 'COMMON.INTERACT'
7596 include 'COMMON.CONTACTS'
7597 include 'COMMON.TORSION'
7598 include 'COMMON.VAR'
7599 include 'COMMON.GEO'
7600 double precision pizda(2,2),auxmat(2,2),auxmat1(2,2),vv(2)
7601 double precision ggg1(3),ggg2(3)
7602 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
7607 C /l\ / \ \ / \ / \ / C
7608 C / \ / \ \ / \ / \ / C
7609 C j| o |l1 | o | o| o | | o |o C
7610 C \ |/k\| |/ \| / |/ \| |/ \| C
7611 C \i/ \ / \ / / \ / \ C
7613 C (I) (II) (III) (IV) C
7615 C eello5_1 eello5_2 eello5_3 eello5_4 C
7617 C Antiparallel chains C
7620 C /j\ / \ \ / \ / \ / C
7621 C / \ / \ \ / \ / \ / C
7622 C j1| o |l | o | o| o | | o |o C
7623 C \ |/k\| |/ \| / |/ \| |/ \| C
7624 C \i/ \ / \ / / \ / \ C
7626 C (I) (II) (III) (IV) C
7628 C eello5_1 eello5_2 eello5_3 eello5_4 C
7630 C o denotes a local interaction, vertical lines an electrostatic interaction. C
7632 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
7633 cd if (i.ne.2 .or. j.ne.6 .or. k.ne.3 .or. l.ne.5) then
7638 cd & 'EELLO5: Contacts have occurred for peptide groups',i,j,
7640 itk=itortyp(itype(k))
7641 itl=itortyp(itype(l))
7642 itj=itortyp(itype(j))
7647 cd call checkint5(i,j,k,l,jj,kk,eel5_1_num,eel5_2_num,
7648 cd & eel5_3_num,eel5_4_num)
7652 derx(lll,kkk,iii)=0.0d0
7656 cd eij=facont_hb(jj,i)
7657 cd ekl=facont_hb(kk,k)
7659 cd write (iout,*)'Contacts have occurred for peptide groups',
7660 cd & i,j,' fcont:',eij,' eij',' and ',k,l
7662 C Contribution from the graph I.
7663 cd write (2,*) 'AEA ',AEA(1,1,1),AEA(2,1,1),AEA(1,2,1),AEA(2,2,1)
7664 cd write (2,*) 'AEAb2',AEAb2(1,1,1),AEAb2(2,1,1)
7665 call transpose2(EUg(1,1,k),auxmat(1,1))
7666 call matmat2(AEA(1,1,1),auxmat(1,1),pizda(1,1))
7667 vv(1)=pizda(1,1)-pizda(2,2)
7668 vv(2)=pizda(1,2)+pizda(2,1)
7669 eello5_1=scalar2(AEAb2(1,1,1),Ub2(1,k))
7670 & +0.5d0*scalar2(vv(1),Dtobr2(1,i))
7671 C Explicit gradient in virtual-dihedral angles.
7672 if (i.gt.1) g_corr5_loc(i-1)=g_corr5_loc(i-1)
7673 & +ekont*(scalar2(AEAb2derg(1,2,1,1),Ub2(1,k))
7674 & +0.5d0*scalar2(vv(1),Dtobr2der(1,i)))
7675 call transpose2(EUgder(1,1,k),auxmat1(1,1))
7676 call matmat2(AEA(1,1,1),auxmat1(1,1),pizda(1,1))
7677 vv(1)=pizda(1,1)-pizda(2,2)
7678 vv(2)=pizda(1,2)+pizda(2,1)
7679 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7680 & +ekont*(scalar2(AEAb2(1,1,1),Ub2der(1,k))
7681 & +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
7682 call matmat2(AEAderg(1,1,1),auxmat(1,1),pizda(1,1))
7683 vv(1)=pizda(1,1)-pizda(2,2)
7684 vv(2)=pizda(1,2)+pizda(2,1)
7686 if (l.lt.nres-1) g_corr5_loc(l-1)=g_corr5_loc(l-1)
7687 & +ekont*(scalar2(AEAb2derg(1,1,1,1),Ub2(1,k))
7688 & +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
7690 if (j.lt.nres-1) g_corr5_loc(j-1)=g_corr5_loc(j-1)
7691 & +ekont*(scalar2(AEAb2derg(1,1,1,1),Ub2(1,k))
7692 & +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
7694 C Cartesian gradient
7698 call matmat2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1),
7700 vv(1)=pizda(1,1)-pizda(2,2)
7701 vv(2)=pizda(1,2)+pizda(2,1)
7702 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7703 & +scalar2(AEAb2derx(1,lll,kkk,iii,1,1),Ub2(1,k))
7704 & +0.5d0*scalar2(vv(1),Dtobr2(1,i))
7710 C Contribution from graph II
7711 call transpose2(EE(1,1,itk),auxmat(1,1))
7712 call matmat2(auxmat(1,1),AEA(1,1,1),pizda(1,1))
7713 vv(1)=pizda(1,1)+pizda(2,2)
7714 vv(2)=pizda(2,1)-pizda(1,2)
7715 eello5_2=scalar2(AEAb1(1,2,1),b1(1,itk))
7716 & -0.5d0*scalar2(vv(1),Ctobr(1,k))
7717 C Explicit gradient in virtual-dihedral angles.
7718 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7719 & -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,k))
7720 call matmat2(auxmat(1,1),AEAderg(1,1,1),pizda(1,1))
7721 vv(1)=pizda(1,1)+pizda(2,2)
7722 vv(2)=pizda(2,1)-pizda(1,2)
7724 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7725 & +ekont*(scalar2(AEAb1derg(1,2,1),b1(1,itk))
7726 & -0.5d0*scalar2(vv(1),Ctobr(1,k)))
7728 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7729 & +ekont*(scalar2(AEAb1derg(1,2,1),b1(1,itk))
7730 & -0.5d0*scalar2(vv(1),Ctobr(1,k)))
7732 C Cartesian gradient
7736 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
7738 vv(1)=pizda(1,1)+pizda(2,2)
7739 vv(2)=pizda(2,1)-pizda(1,2)
7740 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7741 & +scalar2(AEAb1derx(1,lll,kkk,iii,2,1),b1(1,itk))
7742 & -0.5d0*scalar2(vv(1),Ctobr(1,k))
7750 C Parallel orientation
7751 C Contribution from graph III
7752 call transpose2(EUg(1,1,l),auxmat(1,1))
7753 call matmat2(AEA(1,1,2),auxmat(1,1),pizda(1,1))
7754 vv(1)=pizda(1,1)-pizda(2,2)
7755 vv(2)=pizda(1,2)+pizda(2,1)
7756 eello5_3=scalar2(AEAb2(1,1,2),Ub2(1,l))
7757 & +0.5d0*scalar2(vv(1),Dtobr2(1,j))
7758 C Explicit gradient in virtual-dihedral angles.
7759 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7760 & +ekont*(scalar2(AEAb2derg(1,2,1,2),Ub2(1,l))
7761 & +0.5d0*scalar2(vv(1),Dtobr2der(1,j)))
7762 call matmat2(AEAderg(1,1,2),auxmat(1,1),pizda(1,1))
7763 vv(1)=pizda(1,1)-pizda(2,2)
7764 vv(2)=pizda(1,2)+pizda(2,1)
7765 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7766 & +ekont*(scalar2(AEAb2derg(1,1,1,2),Ub2(1,l))
7767 & +0.5d0*scalar2(vv(1),Dtobr2(1,j)))
7768 call transpose2(EUgder(1,1,l),auxmat1(1,1))
7769 call matmat2(AEA(1,1,2),auxmat1(1,1),pizda(1,1))
7770 vv(1)=pizda(1,1)-pizda(2,2)
7771 vv(2)=pizda(1,2)+pizda(2,1)
7772 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7773 & +ekont*(scalar2(AEAb2(1,1,2),Ub2der(1,l))
7774 & +0.5d0*scalar2(vv(1),Dtobr2(1,j)))
7775 C Cartesian gradient
7779 call matmat2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1),
7781 vv(1)=pizda(1,1)-pizda(2,2)
7782 vv(2)=pizda(1,2)+pizda(2,1)
7783 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7784 & +scalar2(AEAb2derx(1,lll,kkk,iii,1,2),Ub2(1,l))
7785 & +0.5d0*scalar2(vv(1),Dtobr2(1,j))
7790 C Contribution from graph IV
7792 call transpose2(EE(1,1,itl),auxmat(1,1))
7793 call matmat2(auxmat(1,1),AEA(1,1,2),pizda(1,1))
7794 vv(1)=pizda(1,1)+pizda(2,2)
7795 vv(2)=pizda(2,1)-pizda(1,2)
7796 eello5_4=scalar2(AEAb1(1,2,2),b1(1,itl))
7797 & -0.5d0*scalar2(vv(1),Ctobr(1,l))
7798 C Explicit gradient in virtual-dihedral angles.
7799 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7800 & -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,l))
7801 call matmat2(auxmat(1,1),AEAderg(1,1,2),pizda(1,1))
7802 vv(1)=pizda(1,1)+pizda(2,2)
7803 vv(2)=pizda(2,1)-pizda(1,2)
7804 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7805 & +ekont*(scalar2(AEAb1derg(1,2,2),b1(1,itl))
7806 & -0.5d0*scalar2(vv(1),Ctobr(1,l)))
7807 C Cartesian gradient
7811 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7813 vv(1)=pizda(1,1)+pizda(2,2)
7814 vv(2)=pizda(2,1)-pizda(1,2)
7815 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7816 & +scalar2(AEAb1derx(1,lll,kkk,iii,2,2),b1(1,itl))
7817 & -0.5d0*scalar2(vv(1),Ctobr(1,l))
7822 C Antiparallel orientation
7823 C Contribution from graph III
7825 call transpose2(EUg(1,1,j),auxmat(1,1))
7826 call matmat2(AEA(1,1,2),auxmat(1,1),pizda(1,1))
7827 vv(1)=pizda(1,1)-pizda(2,2)
7828 vv(2)=pizda(1,2)+pizda(2,1)
7829 eello5_3=scalar2(AEAb2(1,1,2),Ub2(1,j))
7830 & +0.5d0*scalar2(vv(1),Dtobr2(1,l))
7831 C Explicit gradient in virtual-dihedral angles.
7832 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7833 & +ekont*(scalar2(AEAb2derg(1,2,1,2),Ub2(1,j))
7834 & +0.5d0*scalar2(vv(1),Dtobr2der(1,l)))
7835 call matmat2(AEAderg(1,1,2),auxmat(1,1),pizda(1,1))
7836 vv(1)=pizda(1,1)-pizda(2,2)
7837 vv(2)=pizda(1,2)+pizda(2,1)
7838 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7839 & +ekont*(scalar2(AEAb2derg(1,1,1,2),Ub2(1,j))
7840 & +0.5d0*scalar2(vv(1),Dtobr2(1,l)))
7841 call transpose2(EUgder(1,1,j),auxmat1(1,1))
7842 call matmat2(AEA(1,1,2),auxmat1(1,1),pizda(1,1))
7843 vv(1)=pizda(1,1)-pizda(2,2)
7844 vv(2)=pizda(1,2)+pizda(2,1)
7845 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7846 & +ekont*(scalar2(AEAb2(1,1,2),Ub2der(1,j))
7847 & +0.5d0*scalar2(vv(1),Dtobr2(1,l)))
7848 C Cartesian gradient
7852 call matmat2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1),
7854 vv(1)=pizda(1,1)-pizda(2,2)
7855 vv(2)=pizda(1,2)+pizda(2,1)
7856 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)
7857 & +scalar2(AEAb2derx(1,lll,kkk,iii,1,2),Ub2(1,j))
7858 & +0.5d0*scalar2(vv(1),Dtobr2(1,l))
7863 C Contribution from graph IV
7865 call transpose2(EE(1,1,itj),auxmat(1,1))
7866 call matmat2(auxmat(1,1),AEA(1,1,2),pizda(1,1))
7867 vv(1)=pizda(1,1)+pizda(2,2)
7868 vv(2)=pizda(2,1)-pizda(1,2)
7869 eello5_4=scalar2(AEAb1(1,2,2),b1(1,itj))
7870 & -0.5d0*scalar2(vv(1),Ctobr(1,j))
7871 C Explicit gradient in virtual-dihedral angles.
7872 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7873 & -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,j))
7874 call matmat2(auxmat(1,1),AEAderg(1,1,2),pizda(1,1))
7875 vv(1)=pizda(1,1)+pizda(2,2)
7876 vv(2)=pizda(2,1)-pizda(1,2)
7877 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7878 & +ekont*(scalar2(AEAb1derg(1,2,2),b1(1,itj))
7879 & -0.5d0*scalar2(vv(1),Ctobr(1,j)))
7880 C Cartesian gradient
7884 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7886 vv(1)=pizda(1,1)+pizda(2,2)
7887 vv(2)=pizda(2,1)-pizda(1,2)
7888 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)
7889 & +scalar2(AEAb1derx(1,lll,kkk,iii,2,2),b1(1,itj))
7890 & -0.5d0*scalar2(vv(1),Ctobr(1,j))
7896 eel5=eello5_1+eello5_2+eello5_3+eello5_4
7897 cd if (i.eq.2 .and. j.eq.8 .and. k.eq.3 .and. l.eq.7) then
7898 cd write (2,*) 'ijkl',i,j,k,l
7899 cd write (2,*) 'eello5_1',eello5_1,' eello5_2',eello5_2,
7900 cd & ' eello5_3',eello5_3,' eello5_4',eello5_4
7902 cd write(iout,*) 'eello5_1',eello5_1,' eel5_1_num',16*eel5_1_num
7903 cd write(iout,*) 'eello5_2',eello5_2,' eel5_2_num',16*eel5_2_num
7904 cd write(iout,*) 'eello5_3',eello5_3,' eel5_3_num',16*eel5_3_num
7905 cd write(iout,*) 'eello5_4',eello5_4,' eel5_4_num',16*eel5_4_num
7906 if (j.lt.nres-1) then
7913 if (l.lt.nres-1) then
7923 cd write (2,*) 'eij',eij,' ekl',ekl,' ekont',ekont
7924 C 2/11/08 AL Gradients over DC's connecting interacting sites will be
7925 C summed up outside the subrouine as for the other subroutines
7926 C handling long-range interactions. The old code is commented out
7927 C with "cgrad" to keep track of changes.
7929 cgrad ggg1(ll)=eel5*g_contij(ll,1)
7930 cgrad ggg2(ll)=eel5*g_contij(ll,2)
7931 gradcorr5ij=eel5*g_contij(ll,1)+ekont*derx(ll,1,1)
7932 gradcorr5kl=eel5*g_contij(ll,2)+ekont*derx(ll,1,2)
7933 c write (iout,'(a,3i3,a,5f8.3,2i3,a,5f8.3,a,f8.3)')
7934 c & "ecorr5",ll,i,j," derx",derx(ll,2,1),derx(ll,3,1),derx(ll,4,1),
7935 c & derx(ll,5,1),k,l," derx",derx(ll,2,2),derx(ll,3,2),
7936 c & derx(ll,4,2),derx(ll,5,2)," ekont",ekont
7937 c write (iout,'(a,3i3,a,3f8.3,2i3,a,3f8.3)')
7938 c & "ecorr5",ll,i,j," gradcorr5",g_contij(ll,1),derx(ll,1,1),
7940 c & k,l," gradcorr5",g_contij(ll,2),derx(ll,1,2),gradcorr5kl
7941 cold ghalf=0.5d0*eel5*ekl*gacont_hbr(ll,jj,i)
7942 cgrad ghalf=0.5d0*ggg1(ll)
7944 gradcorr5(ll,i)=gradcorr5(ll,i)+ekont*derx(ll,2,1)
7945 gradcorr5(ll,i+1)=gradcorr5(ll,i+1)+ekont*derx(ll,3,1)
7946 gradcorr5(ll,j)=gradcorr5(ll,j)+ekont*derx(ll,4,1)
7947 gradcorr5(ll,j1)=gradcorr5(ll,j1)+ekont*derx(ll,5,1)
7948 gradcorr5_long(ll,j)=gradcorr5_long(ll,j)+gradcorr5ij
7949 gradcorr5_long(ll,i)=gradcorr5_long(ll,i)-gradcorr5ij
7950 cold ghalf=0.5d0*eel5*eij*gacont_hbr(ll,kk,k)
7951 cgrad ghalf=0.5d0*ggg2(ll)
7953 gradcorr5(ll,k)=gradcorr5(ll,k)+ghalf+ekont*derx(ll,2,2)
7954 gradcorr5(ll,k+1)=gradcorr5(ll,k+1)+ekont*derx(ll,3,2)
7955 gradcorr5(ll,l)=gradcorr5(ll,l)+ghalf+ekont*derx(ll,4,2)
7956 gradcorr5(ll,l1)=gradcorr5(ll,l1)+ekont*derx(ll,5,2)
7957 gradcorr5_long(ll,l)=gradcorr5_long(ll,l)+gradcorr5kl
7958 gradcorr5_long(ll,k)=gradcorr5_long(ll,k)-gradcorr5kl
7963 cold gradcorr5(ll,m)=gradcorr5(ll,m)+eel5*ekl*gacont_hbr(ll,jj,i)
7964 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ggg1(ll)
7969 cold gradcorr5(ll,m)=gradcorr5(ll,m)+eel5*eij*gacont_hbr(ll,kk,k)
7970 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ggg2(ll)
7976 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ekont*derx(ll,1,1)
7981 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ekont*derx(ll,1,2)
7985 cd write (2,*) iii,g_corr5_loc(iii)
7988 cd write (2,*) 'ekont',ekont
7989 cd write (iout,*) 'eello5',ekont*eel5
7992 c--------------------------------------------------------------------------
7993 double precision function eello6(i,j,k,l,jj,kk)
7994 implicit real*8 (a-h,o-z)
7995 include 'DIMENSIONS'
7996 include 'COMMON.IOUNITS'
7997 include 'COMMON.CHAIN'
7998 include 'COMMON.DERIV'
7999 include 'COMMON.INTERACT'
8000 include 'COMMON.CONTACTS'
8001 include 'COMMON.TORSION'
8002 include 'COMMON.VAR'
8003 include 'COMMON.GEO'
8004 include 'COMMON.FFIELD'
8005 double precision ggg1(3),ggg2(3)
8006 cd if (i.ne.1 .or. j.ne.3 .or. k.ne.2 .or. l.ne.4) then
8011 cd & 'EELLO6: Contacts have occurred for peptide groups',i,j,
8019 cd call checkint6(i,j,k,l,jj,kk,eel6_1_num,eel6_2_num,
8020 cd & eel6_3_num,eel6_4_num,eel6_5_num,eel6_6_num)
8024 derx(lll,kkk,iii)=0.0d0
8028 cd eij=facont_hb(jj,i)
8029 cd ekl=facont_hb(kk,k)
8035 eello6_1=eello6_graph1(i,j,k,l,1,.false.)
8036 eello6_2=eello6_graph1(j,i,l,k,2,.false.)
8037 eello6_3=eello6_graph2(i,j,k,l,jj,kk,.false.)
8038 eello6_4=eello6_graph4(i,j,k,l,jj,kk,1,.false.)
8039 eello6_5=eello6_graph4(j,i,l,k,jj,kk,2,.false.)
8040 eello6_6=eello6_graph3(i,j,k,l,jj,kk,.false.)
8042 eello6_1=eello6_graph1(i,j,k,l,1,.false.)
8043 eello6_2=eello6_graph1(l,k,j,i,2,.true.)
8044 eello6_3=eello6_graph2(i,l,k,j,jj,kk,.true.)
8045 eello6_4=eello6_graph4(i,j,k,l,jj,kk,1,.false.)
8046 if (wturn6.eq.0.0d0 .or. j.ne.i+4) then
8047 eello6_5=eello6_graph4(l,k,j,i,kk,jj,2,.true.)
8051 eello6_6=eello6_graph3(i,l,k,j,jj,kk,.true.)
8053 C If turn contributions are considered, they will be handled separately.
8054 eel6=eello6_1+eello6_2+eello6_3+eello6_4+eello6_5+eello6_6
8055 cd write(iout,*) 'eello6_1',eello6_1!,' eel6_1_num',16*eel6_1_num
8056 cd write(iout,*) 'eello6_2',eello6_2!,' eel6_2_num',16*eel6_2_num
8057 cd write(iout,*) 'eello6_3',eello6_3!,' eel6_3_num',16*eel6_3_num
8058 cd write(iout,*) 'eello6_4',eello6_4!,' eel6_4_num',16*eel6_4_num
8059 cd write(iout,*) 'eello6_5',eello6_5!,' eel6_5_num',16*eel6_5_num
8060 cd write(iout,*) 'eello6_6',eello6_6!,' eel6_6_num',16*eel6_6_num
8062 if (j.lt.nres-1) then
8069 if (l.lt.nres-1) then
8077 cgrad ggg1(ll)=eel6*g_contij(ll,1)
8078 cgrad ggg2(ll)=eel6*g_contij(ll,2)
8079 cold ghalf=0.5d0*eel6*ekl*gacont_hbr(ll,jj,i)
8080 cgrad ghalf=0.5d0*ggg1(ll)
8082 gradcorr6ij=eel6*g_contij(ll,1)+ekont*derx(ll,1,1)
8083 gradcorr6kl=eel6*g_contij(ll,2)+ekont*derx(ll,1,2)
8084 gradcorr6(ll,i)=gradcorr6(ll,i)+ekont*derx(ll,2,1)
8085 gradcorr6(ll,i+1)=gradcorr6(ll,i+1)+ekont*derx(ll,3,1)
8086 gradcorr6(ll,j)=gradcorr6(ll,j)+ekont*derx(ll,4,1)
8087 gradcorr6(ll,j1)=gradcorr6(ll,j1)+ekont*derx(ll,5,1)
8088 gradcorr6_long(ll,j)=gradcorr6_long(ll,j)+gradcorr6ij
8089 gradcorr6_long(ll,i)=gradcorr6_long(ll,i)-gradcorr6ij
8090 cgrad ghalf=0.5d0*ggg2(ll)
8091 cold ghalf=0.5d0*eel6*eij*gacont_hbr(ll,kk,k)
8093 gradcorr6(ll,k)=gradcorr6(ll,k)+ekont*derx(ll,2,2)
8094 gradcorr6(ll,k+1)=gradcorr6(ll,k+1)+ekont*derx(ll,3,2)
8095 gradcorr6(ll,l)=gradcorr6(ll,l)+ekont*derx(ll,4,2)
8096 gradcorr6(ll,l1)=gradcorr6(ll,l1)+ekont*derx(ll,5,2)
8097 gradcorr6_long(ll,l)=gradcorr6_long(ll,l)+gradcorr6kl
8098 gradcorr6_long(ll,k)=gradcorr6_long(ll,k)-gradcorr6kl
8103 cold gradcorr6(ll,m)=gradcorr6(ll,m)+eel6*ekl*gacont_hbr(ll,jj,i)
8104 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ggg1(ll)
8109 cold gradcorr6(ll,m)=gradcorr6(ll,m)+eel6*eij*gacont_hbr(ll,kk,k)
8110 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ggg2(ll)
8116 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ekont*derx(ll,1,1)
8121 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ekont*derx(ll,1,2)
8125 cd write (2,*) iii,g_corr6_loc(iii)
8128 cd write (2,*) 'ekont',ekont
8129 cd write (iout,*) 'eello6',ekont*eel6
8132 c--------------------------------------------------------------------------
8133 double precision function eello6_graph1(i,j,k,l,imat,swap)
8134 implicit real*8 (a-h,o-z)
8135 include 'DIMENSIONS'
8136 include 'COMMON.IOUNITS'
8137 include 'COMMON.CHAIN'
8138 include 'COMMON.DERIV'
8139 include 'COMMON.INTERACT'
8140 include 'COMMON.CONTACTS'
8141 include 'COMMON.TORSION'
8142 include 'COMMON.VAR'
8143 include 'COMMON.GEO'
8144 double precision vv(2),vv1(2),pizda(2,2),auxmat(2,2),pizda1(2,2)
8148 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8150 C Parallel Antiparallel
8156 C \ j|/k\| / \ |/k\|l /
8161 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8162 itk=itortyp(itype(k))
8163 s1= scalar2(AEAb1(1,2,imat),CUgb2(1,i))
8164 s2=-scalar2(AEAb2(1,1,imat),Ug2Db1t(1,k))
8165 s3= scalar2(AEAb2(1,1,imat),CUgb2(1,k))
8166 call transpose2(EUgC(1,1,k),auxmat(1,1))
8167 call matmat2(AEA(1,1,imat),auxmat(1,1),pizda1(1,1))
8168 vv1(1)=pizda1(1,1)-pizda1(2,2)
8169 vv1(2)=pizda1(1,2)+pizda1(2,1)
8170 s4=0.5d0*scalar2(vv1(1),Dtobr2(1,i))
8171 vv(1)=AEAb1(1,2,imat)*b1(1,itk)-AEAb1(2,2,imat)*b1(2,itk)
8172 vv(2)=AEAb1(1,2,imat)*b1(2,itk)+AEAb1(2,2,imat)*b1(1,itk)
8173 s5=scalar2(vv(1),Dtobr2(1,i))
8174 cd write (2,*) 's1',s1,' s2',s2,' s3',s3,' s4', s4,' s5',s5
8175 eello6_graph1=-0.5d0*(s1+s2+s3+s4+s5)
8176 if (i.gt.1) g_corr6_loc(i-1)=g_corr6_loc(i-1)
8177 & -0.5d0*ekont*(scalar2(AEAb1(1,2,imat),CUgb2der(1,i))
8178 & -scalar2(AEAb2derg(1,2,1,imat),Ug2Db1t(1,k))
8179 & +scalar2(AEAb2derg(1,2,1,imat),CUgb2(1,k))
8180 & +0.5d0*scalar2(vv1(1),Dtobr2der(1,i))
8181 & +scalar2(vv(1),Dtobr2der(1,i)))
8182 call matmat2(AEAderg(1,1,imat),auxmat(1,1),pizda1(1,1))
8183 vv1(1)=pizda1(1,1)-pizda1(2,2)
8184 vv1(2)=pizda1(1,2)+pizda1(2,1)
8185 vv(1)=AEAb1derg(1,2,imat)*b1(1,itk)-AEAb1derg(2,2,imat)*b1(2,itk)
8186 vv(2)=AEAb1derg(1,2,imat)*b1(2,itk)+AEAb1derg(2,2,imat)*b1(1,itk)
8188 g_corr6_loc(l-1)=g_corr6_loc(l-1)
8189 & +ekont*(-0.5d0*(scalar2(AEAb1derg(1,2,imat),CUgb2(1,i))
8190 & -scalar2(AEAb2derg(1,1,1,imat),Ug2Db1t(1,k))
8191 & +scalar2(AEAb2derg(1,1,1,imat),CUgb2(1,k))
8192 & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))+scalar2(vv(1),Dtobr2(1,i))))
8194 g_corr6_loc(j-1)=g_corr6_loc(j-1)
8195 & +ekont*(-0.5d0*(scalar2(AEAb1derg(1,2,imat),CUgb2(1,i))
8196 & -scalar2(AEAb2derg(1,1,1,imat),Ug2Db1t(1,k))
8197 & +scalar2(AEAb2derg(1,1,1,imat),CUgb2(1,k))
8198 & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))+scalar2(vv(1),Dtobr2(1,i))))
8200 call transpose2(EUgCder(1,1,k),auxmat(1,1))
8201 call matmat2(AEA(1,1,imat),auxmat(1,1),pizda1(1,1))
8202 vv1(1)=pizda1(1,1)-pizda1(2,2)
8203 vv1(2)=pizda1(1,2)+pizda1(2,1)
8204 if (k.gt.1) g_corr6_loc(k-1)=g_corr6_loc(k-1)
8205 & +ekont*(-0.5d0*(-scalar2(AEAb2(1,1,imat),Ug2Db1tder(1,k))
8206 & +scalar2(AEAb2(1,1,imat),CUgb2der(1,k))
8207 & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))))
8216 s1= scalar2(AEAb1derx(1,lll,kkk,iii,2,imat),CUgb2(1,i))
8217 s2=-scalar2(AEAb2derx(1,lll,kkk,iii,1,imat),Ug2Db1t(1,k))
8218 s3= scalar2(AEAb2derx(1,lll,kkk,iii,1,imat),CUgb2(1,k))
8219 call transpose2(EUgC(1,1,k),auxmat(1,1))
8220 call matmat2(AEAderx(1,1,lll,kkk,iii,imat),auxmat(1,1),
8222 vv1(1)=pizda1(1,1)-pizda1(2,2)
8223 vv1(2)=pizda1(1,2)+pizda1(2,1)
8224 s4=0.5d0*scalar2(vv1(1),Dtobr2(1,i))
8225 vv(1)=AEAb1derx(1,lll,kkk,iii,2,imat)*b1(1,itk)
8226 & -AEAb1derx(2,lll,kkk,iii,2,imat)*b1(2,itk)
8227 vv(2)=AEAb1derx(1,lll,kkk,iii,2,imat)*b1(2,itk)
8228 & +AEAb1derx(2,lll,kkk,iii,2,imat)*b1(1,itk)
8229 s5=scalar2(vv(1),Dtobr2(1,i))
8230 derx(lll,kkk,ind)=derx(lll,kkk,ind)-0.5d0*(s1+s2+s3+s4+s5)
8236 c----------------------------------------------------------------------------
8237 double precision function eello6_graph2(i,j,k,l,jj,kk,swap)
8238 implicit real*8 (a-h,o-z)
8239 include 'DIMENSIONS'
8240 include 'COMMON.IOUNITS'
8241 include 'COMMON.CHAIN'
8242 include 'COMMON.DERIV'
8243 include 'COMMON.INTERACT'
8244 include 'COMMON.CONTACTS'
8245 include 'COMMON.TORSION'
8246 include 'COMMON.VAR'
8247 include 'COMMON.GEO'
8249 double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2),
8250 & auxvec1(2),auxvec2(2),auxmat1(2,2)
8253 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8255 C Parallel Antiparallel C
8261 C \ j|/k\| \ |/k\|l C
8266 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8267 cd write (2,*) 'eello6_graph2: i,',i,' j',j,' k',k,' l',l
8268 C AL 7/4/01 s1 would occur in the sixth-order moment,
8269 C but not in a cluster cumulant
8271 s1=dip(1,jj,i)*dip(1,kk,k)
8273 call matvec2(ADtEA1(1,1,1),Ub2(1,k),auxvec(1))
8274 s2=-0.5d0*scalar2(Ub2(1,i),auxvec(1))
8275 call matvec2(ADtEA(1,1,2),Ub2(1,l),auxvec1(1))
8276 s3=-0.5d0*scalar2(Ub2(1,j),auxvec1(1))
8277 call transpose2(EUg(1,1,k),auxmat(1,1))
8278 call matmat2(ADtEA1(1,1,1),auxmat(1,1),pizda(1,1))
8279 vv(1)=pizda(1,1)-pizda(2,2)
8280 vv(2)=pizda(1,2)+pizda(2,1)
8281 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8282 cd write (2,*) 'eello6_graph2:','s1',s1,' s2',s2,' s3',s3,' s4',s4
8284 eello6_graph2=-(s1+s2+s3+s4)
8286 eello6_graph2=-(s2+s3+s4)
8289 C Derivatives in gamma(i-1)
8292 s1=dipderg(1,jj,i)*dip(1,kk,k)
8294 s2=-0.5d0*scalar2(Ub2der(1,i),auxvec(1))
8295 call matvec2(ADtEAderg(1,1,1,2),Ub2(1,l),auxvec2(1))
8296 s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
8297 s4=-0.25d0*scalar2(vv(1),Dtobr2der(1,i))
8299 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s1+s2+s3+s4)
8301 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s2+s3+s4)
8303 c g_corr6_loc(i-1)=g_corr6_loc(i-1)-s3
8305 C Derivatives in gamma(k-1)
8307 s1=dip(1,jj,i)*dipderg(1,kk,k)
8309 call matvec2(ADtEA1(1,1,1),Ub2der(1,k),auxvec2(1))
8310 s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
8311 call matvec2(ADtEAderg(1,1,2,2),Ub2(1,l),auxvec2(1))
8312 s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
8313 call transpose2(EUgder(1,1,k),auxmat1(1,1))
8314 call matmat2(ADtEA1(1,1,1),auxmat1(1,1),pizda(1,1))
8315 vv(1)=pizda(1,1)-pizda(2,2)
8316 vv(2)=pizda(1,2)+pizda(2,1)
8317 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8319 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s1+s2+s3+s4)
8321 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s2+s3+s4)
8323 c g_corr6_loc(k-1)=g_corr6_loc(k-1)-s3
8324 C Derivatives in gamma(j-1) or gamma(l-1)
8327 s1=dipderg(3,jj,i)*dip(1,kk,k)
8329 call matvec2(ADtEA1derg(1,1,1,1),Ub2(1,k),auxvec2(1))
8330 s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
8331 s3=-0.5d0*scalar2(Ub2der(1,j),auxvec1(1))
8332 call matmat2(ADtEA1derg(1,1,1,1),auxmat(1,1),pizda(1,1))
8333 vv(1)=pizda(1,1)-pizda(2,2)
8334 vv(2)=pizda(1,2)+pizda(2,1)
8335 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8338 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*s1
8340 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*s1
8343 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*(s2+s3+s4)
8344 c g_corr6_loc(j-1)=g_corr6_loc(j-1)-s3
8346 C Derivatives in gamma(l-1) or gamma(j-1)
8349 s1=dip(1,jj,i)*dipderg(3,kk,k)
8351 call matvec2(ADtEA1derg(1,1,2,1),Ub2(1,k),auxvec2(1))
8352 s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
8353 call matvec2(ADtEA(1,1,2),Ub2der(1,l),auxvec2(1))
8354 s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
8355 call matmat2(ADtEA1derg(1,1,2,1),auxmat(1,1),pizda(1,1))
8356 vv(1)=pizda(1,1)-pizda(2,2)
8357 vv(2)=pizda(1,2)+pizda(2,1)
8358 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8361 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*s1
8363 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*s1
8366 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s3+s4)
8367 c g_corr6_loc(l-1)=g_corr6_loc(l-1)-s3
8369 C Cartesian derivatives.
8371 write (2,*) 'In eello6_graph2'
8373 write (2,*) 'iii=',iii
8375 write (2,*) 'kkk=',kkk
8377 write (2,'(3(2f10.5),5x)')
8378 & ((ADtEA1derx(jjj,mmm,lll,kkk,iii,1),mmm=1,2),lll=1,3)
8388 s1=dipderx(lll,kkk,1,jj,i)*dip(1,kk,k)
8390 s1=dip(1,jj,i)*dipderx(lll,kkk,1,kk,k)
8393 call matvec2(ADtEA1derx(1,1,lll,kkk,iii,1),Ub2(1,k),
8395 s2=-0.5d0*scalar2(Ub2(1,i),auxvec(1))
8396 call matvec2(ADtEAderx(1,1,lll,kkk,iii,2),Ub2(1,l),
8398 s3=-0.5d0*scalar2(Ub2(1,j),auxvec(1))
8399 call transpose2(EUg(1,1,k),auxmat(1,1))
8400 call matmat2(ADtEA1derx(1,1,lll,kkk,iii,1),auxmat(1,1),
8402 vv(1)=pizda(1,1)-pizda(2,2)
8403 vv(2)=pizda(1,2)+pizda(2,1)
8404 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8405 cd write (2,*) 's1',s1,' s2',s2,' s3',s3,' s4',s4
8407 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
8409 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
8412 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
8414 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8421 c----------------------------------------------------------------------------
8422 double precision function eello6_graph3(i,j,k,l,jj,kk,swap)
8423 implicit real*8 (a-h,o-z)
8424 include 'DIMENSIONS'
8425 include 'COMMON.IOUNITS'
8426 include 'COMMON.CHAIN'
8427 include 'COMMON.DERIV'
8428 include 'COMMON.INTERACT'
8429 include 'COMMON.CONTACTS'
8430 include 'COMMON.TORSION'
8431 include 'COMMON.VAR'
8432 include 'COMMON.GEO'
8433 double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2)
8435 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8437 C Parallel Antiparallel C
8443 C j|/k\| / |/k\|l / C
8448 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8450 C 4/7/01 AL Component s1 was removed, because it pertains to the respective
8451 C energy moment and not to the cluster cumulant.
8452 iti=itortyp(itype(i))
8453 if (j.lt.nres-1) then
8454 itj1=itortyp(itype(j+1))
8458 itk=itortyp(itype(k))
8459 itk1=itortyp(itype(k+1))
8460 if (l.lt.nres-1) then
8461 itl1=itortyp(itype(l+1))
8466 s1=dip(4,jj,i)*dip(4,kk,k)
8468 call matvec2(AECA(1,1,1),b1(1,itk1),auxvec(1))
8469 s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
8470 call matvec2(AECA(1,1,2),b1(1,itl1),auxvec(1))
8471 s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
8472 call transpose2(EE(1,1,itk),auxmat(1,1))
8473 call matmat2(auxmat(1,1),AECA(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 s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
8477 cd write (2,*) 'eello6_graph3:','s1',s1,' s2',s2,' s3',s3,' s4',s4,
8478 cd & "sum",-(s2+s3+s4)
8480 eello6_graph3=-(s1+s2+s3+s4)
8482 eello6_graph3=-(s2+s3+s4)
8485 C Derivatives in gamma(k-1)
8486 call matvec2(AECAderg(1,1,2),b1(1,itl1),auxvec(1))
8487 s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
8488 s4=-0.25d0*scalar2(vv(1),Ctobrder(1,k))
8489 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s3+s4)
8490 C Derivatives in gamma(l-1)
8491 call matvec2(AECAderg(1,1,1),b1(1,itk1),auxvec(1))
8492 s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
8493 call matmat2(auxmat(1,1),AECAderg(1,1,1),pizda(1,1))
8494 vv(1)=pizda(1,1)+pizda(2,2)
8495 vv(2)=pizda(2,1)-pizda(1,2)
8496 s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
8497 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s4)
8498 C Cartesian derivatives.
8504 s1=dipderx(lll,kkk,4,jj,i)*dip(4,kk,k)
8506 s1=dip(4,jj,i)*dipderx(lll,kkk,4,kk,k)
8509 call matvec2(AECAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
8511 s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
8512 call matvec2(AECAderx(1,1,lll,kkk,iii,2),b1(1,itl1),
8514 s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
8515 call matmat2(auxmat(1,1),AECAderx(1,1,lll,kkk,iii,1),
8517 vv(1)=pizda(1,1)+pizda(2,2)
8518 vv(2)=pizda(2,1)-pizda(1,2)
8519 s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
8521 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
8523 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
8526 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
8528 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8530 c derx(lll,kkk,iii)=derx(lll,kkk,iii)-s4
8536 c----------------------------------------------------------------------------
8537 double precision function eello6_graph4(i,j,k,l,jj,kk,imat,swap)
8538 implicit real*8 (a-h,o-z)
8539 include 'DIMENSIONS'
8540 include 'COMMON.IOUNITS'
8541 include 'COMMON.CHAIN'
8542 include 'COMMON.DERIV'
8543 include 'COMMON.INTERACT'
8544 include 'COMMON.CONTACTS'
8545 include 'COMMON.TORSION'
8546 include 'COMMON.VAR'
8547 include 'COMMON.GEO'
8548 include 'COMMON.FFIELD'
8549 double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2),
8550 & auxvec1(2),auxmat1(2,2)
8552 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8554 C Parallel Antiparallel C
8560 C \ j|/k\| \ |/k\|l C
8565 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8567 C 4/7/01 AL Component s1 was removed, because it pertains to the respective
8568 C energy moment and not to the cluster cumulant.
8569 cd write (2,*) 'eello_graph4: wturn6',wturn6
8570 iti=itortyp(itype(i))
8571 itj=itortyp(itype(j))
8572 if (j.lt.nres-1) then
8573 itj1=itortyp(itype(j+1))
8577 itk=itortyp(itype(k))
8578 if (k.lt.nres-1) then
8579 itk1=itortyp(itype(k+1))
8583 itl=itortyp(itype(l))
8584 if (l.lt.nres-1) then
8585 itl1=itortyp(itype(l+1))
8589 cd write (2,*) 'eello6_graph4:','i',i,' j',j,' k',k,' l',l
8590 cd write (2,*) 'iti',iti,' itj',itj,' itj1',itj1,' itk',itk,
8591 cd & ' itl',itl,' itl1',itl1
8594 s1=dip(3,jj,i)*dip(3,kk,k)
8596 s1=dip(2,jj,j)*dip(2,kk,l)
8599 call matvec2(AECA(1,1,imat),Ub2(1,k),auxvec(1))
8600 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8602 call matvec2(ADtEA1(1,1,3-imat),b1(1,itj1),auxvec1(1))
8603 s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
8605 call matvec2(ADtEA1(1,1,3-imat),b1(1,itl1),auxvec1(1))
8606 s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
8608 call transpose2(EUg(1,1,k),auxmat(1,1))
8609 call matmat2(AECA(1,1,imat),auxmat(1,1),pizda(1,1))
8610 vv(1)=pizda(1,1)-pizda(2,2)
8611 vv(2)=pizda(2,1)+pizda(1,2)
8612 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8613 cd write (2,*) 'eello6_graph4:','s1',s1,' s2',s2,' s3',s3,' s4',s4
8615 eello6_graph4=-(s1+s2+s3+s4)
8617 eello6_graph4=-(s2+s3+s4)
8619 C Derivatives in gamma(i-1)
8623 s1=dipderg(2,jj,i)*dip(3,kk,k)
8625 s1=dipderg(4,jj,j)*dip(2,kk,l)
8628 s2=0.5d0*scalar2(Ub2der(1,i),auxvec(1))
8630 call matvec2(ADtEA1derg(1,1,1,3-imat),b1(1,itj1),auxvec1(1))
8631 s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
8633 call matvec2(ADtEA1derg(1,1,1,3-imat),b1(1,itl1),auxvec1(1))
8634 s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
8636 s4=0.25d0*scalar2(vv(1),Dtobr2der(1,i))
8637 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8638 cd write (2,*) 'turn6 derivatives'
8640 gel_loc_turn6(i-1)=gel_loc_turn6(i-1)-ekont*(s1+s2+s3+s4)
8642 gel_loc_turn6(i-1)=gel_loc_turn6(i-1)-ekont*(s2+s3+s4)
8646 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s1+s2+s3+s4)
8648 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s2+s3+s4)
8652 C Derivatives in gamma(k-1)
8655 s1=dip(3,jj,i)*dipderg(2,kk,k)
8657 s1=dip(2,jj,j)*dipderg(4,kk,l)
8660 call matvec2(AECA(1,1,imat),Ub2der(1,k),auxvec1(1))
8661 s2=0.5d0*scalar2(Ub2(1,i),auxvec1(1))
8663 call matvec2(ADtEA1derg(1,1,2,3-imat),b1(1,itj1),auxvec1(1))
8664 s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
8666 call matvec2(ADtEA1derg(1,1,2,3-imat),b1(1,itl1),auxvec1(1))
8667 s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
8669 call transpose2(EUgder(1,1,k),auxmat1(1,1))
8670 call matmat2(AECA(1,1,imat),auxmat1(1,1),pizda(1,1))
8671 vv(1)=pizda(1,1)-pizda(2,2)
8672 vv(2)=pizda(2,1)+pizda(1,2)
8673 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8674 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8676 gel_loc_turn6(k-1)=gel_loc_turn6(k-1)-ekont*(s1+s2+s3+s4)
8678 gel_loc_turn6(k-1)=gel_loc_turn6(k-1)-ekont*(s2+s3+s4)
8682 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s1+s2+s3+s4)
8684 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s2+s3+s4)
8687 C Derivatives in gamma(j-1) or gamma(l-1)
8688 if (l.eq.j+1 .and. l.gt.1) then
8689 call matvec2(AECAderg(1,1,imat),Ub2(1,k),auxvec(1))
8690 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8691 call matmat2(AECAderg(1,1,imat),auxmat(1,1),pizda(1,1))
8692 vv(1)=pizda(1,1)-pizda(2,2)
8693 vv(2)=pizda(2,1)+pizda(1,2)
8694 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8695 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s4)
8696 else if (j.gt.1) then
8697 call matvec2(AECAderg(1,1,imat),Ub2(1,k),auxvec(1))
8698 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8699 call matmat2(AECAderg(1,1,imat),auxmat(1,1),pizda(1,1))
8700 vv(1)=pizda(1,1)-pizda(2,2)
8701 vv(2)=pizda(2,1)+pizda(1,2)
8702 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8703 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8704 gel_loc_turn6(j-1)=gel_loc_turn6(j-1)-ekont*(s2+s4)
8706 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*(s2+s4)
8709 C Cartesian derivatives.
8716 s1=dipderx(lll,kkk,3,jj,i)*dip(3,kk,k)
8718 s1=dipderx(lll,kkk,2,jj,j)*dip(2,kk,l)
8722 s1=dip(3,jj,i)*dipderx(lll,kkk,3,kk,k)
8724 s1=dip(2,jj,j)*dipderx(lll,kkk,2,kk,l)
8728 call matvec2(AECAderx(1,1,lll,kkk,iii,imat),Ub2(1,k),
8730 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8732 call matvec2(ADtEA1derx(1,1,lll,kkk,iii,3-imat),
8733 & b1(1,itj1),auxvec(1))
8734 s3=-0.5d0*scalar2(b1(1,itj),auxvec(1))
8736 call matvec2(ADtEA1derx(1,1,lll,kkk,iii,3-imat),
8737 & b1(1,itl1),auxvec(1))
8738 s3=-0.5d0*scalar2(b1(1,itl),auxvec(1))
8740 call matmat2(AECAderx(1,1,lll,kkk,iii,imat),auxmat(1,1),
8742 vv(1)=pizda(1,1)-pizda(2,2)
8743 vv(2)=pizda(2,1)+pizda(1,2)
8744 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8746 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8748 derx_turn(lll,kkk,3-iii)=derx_turn(lll,kkk,3-iii)
8751 derx_turn(lll,kkk,3-iii)=derx_turn(lll,kkk,3-iii)
8754 derx_turn(lll,kkk,iii)=derx_turn(lll,kkk,iii)-s3
8757 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-(s1+s2+s4)
8759 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-(s2+s4)
8761 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8765 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
8767 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
8770 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8772 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
8780 c----------------------------------------------------------------------------
8781 double precision function eello_turn6(i,jj,kk)
8782 implicit real*8 (a-h,o-z)
8783 include 'DIMENSIONS'
8784 include 'COMMON.IOUNITS'
8785 include 'COMMON.CHAIN'
8786 include 'COMMON.DERIV'
8787 include 'COMMON.INTERACT'
8788 include 'COMMON.CONTACTS'
8789 include 'COMMON.TORSION'
8790 include 'COMMON.VAR'
8791 include 'COMMON.GEO'
8792 double precision vtemp1(2),vtemp2(2),vtemp3(2),vtemp4(2),
8793 & atemp(2,2),auxmat(2,2),achuj_temp(2,2),gtemp(2,2),gvec(2),
8795 double precision vtemp1d(2),vtemp2d(2),vtemp3d(2),vtemp4d(2),
8796 & atempd(2,2),auxmatd(2,2),achuj_tempd(2,2),gtempd(2,2),gvecd(2)
8797 C 4/7/01 AL Components s1, s8, and s13 were removed, because they pertain to
8798 C the respective energy moment and not to the cluster cumulant.
8807 iti=itortyp(itype(i))
8808 itk=itortyp(itype(k))
8809 itk1=itortyp(itype(k+1))
8810 itl=itortyp(itype(l))
8811 itj=itortyp(itype(j))
8812 cd write (2,*) 'itk',itk,' itk1',itk1,' itl',itl,' itj',itj
8813 cd write (2,*) 'i',i,' k',k,' j',j,' l',l
8814 cd if (i.ne.1 .or. j.ne.3 .or. k.ne.2 .or. l.ne.4) then
8819 cd & 'EELLO6: Contacts have occurred for peptide groups',i,j,
8821 cd call checkint_turn6(i,jj,kk,eel_turn6_num)
8825 derx_turn(lll,kkk,iii)=0.0d0
8832 eello6_5=eello6_graph4(l,k,j,i,kk,jj,2,.true.)
8834 cd write (2,*) 'eello6_5',eello6_5
8836 call transpose2(AEA(1,1,1),auxmat(1,1))
8837 call matmat2(EUg(1,1,i+1),auxmat(1,1),auxmat(1,1))
8838 ss1=scalar2(Ub2(1,i+2),b1(1,itl))
8839 s1 = (auxmat(1,1)+auxmat(2,2))*ss1
8841 call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1(1))
8842 call matvec2(AEA(1,1,1),vtemp1(1),vtemp1(1))
8843 s2 = scalar2(b1(1,itk),vtemp1(1))
8845 call transpose2(AEA(1,1,2),atemp(1,1))
8846 call matmat2(atemp(1,1),EUg(1,1,i+4),atemp(1,1))
8847 call matvec2(Ug2(1,1,i+2),dd(1,1,itk1),vtemp2(1))
8848 s8 = -(atemp(1,1)+atemp(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
8850 call matmat2(EUg(1,1,i+3),AEA(1,1,2),auxmat(1,1))
8851 call matvec2(auxmat(1,1),Ub2(1,i+4),vtemp3(1))
8852 s12 = scalar2(Ub2(1,i+2),vtemp3(1))
8854 call transpose2(a_chuj(1,1,kk,i+1),achuj_temp(1,1))
8855 call matmat2(achuj_temp(1,1),EUg(1,1,i+2),gtemp(1,1))
8856 call matmat2(gtemp(1,1),EUg(1,1,i+3),gtemp(1,1))
8857 call matvec2(a_chuj(1,1,jj,i),Ub2(1,i+4),vtemp4(1))
8858 ss13 = scalar2(b1(1,itk),vtemp4(1))
8859 s13 = (gtemp(1,1)+gtemp(2,2))*ss13
8861 c write (2,*) 's1,s2,s8,s12,s13',s1,s2,s8,s12,s13
8867 eel_turn6 = eello6_5 - 0.5d0*(s1+s2+s12+s8+s13)
8868 C Derivatives in gamma(i+2)
8872 call transpose2(AEA(1,1,1),auxmatd(1,1))
8873 call matmat2(EUgder(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8874 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
8875 call transpose2(AEAderg(1,1,2),atempd(1,1))
8876 call matmat2(atempd(1,1),EUg(1,1,i+4),atempd(1,1))
8877 s8d = -(atempd(1,1)+atempd(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
8879 call matmat2(EUg(1,1,i+3),AEAderg(1,1,2),auxmatd(1,1))
8880 call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
8881 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
8887 gel_loc_turn6(i)=gel_loc_turn6(i)-0.5d0*ekont*(s1d+s8d+s12d)
8888 C Derivatives in gamma(i+3)
8890 call transpose2(AEA(1,1,1),auxmatd(1,1))
8891 call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8892 ss1d=scalar2(Ub2der(1,i+2),b1(1,itl))
8893 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1d
8895 call matvec2(EUgder(1,1,i+2),b1(1,itl),vtemp1d(1))
8896 call matvec2(AEA(1,1,1),vtemp1d(1),vtemp1d(1))
8897 s2d = scalar2(b1(1,itk),vtemp1d(1))
8899 call matvec2(Ug2der(1,1,i+2),dd(1,1,itk1),vtemp2d(1))
8900 s8d = -(atemp(1,1)+atemp(2,2))*scalar2(cc(1,1,itl),vtemp2d(1))
8902 s12d = scalar2(Ub2der(1,i+2),vtemp3(1))
8904 call matmat2(achuj_temp(1,1),EUgder(1,1,i+2),gtempd(1,1))
8905 call matmat2(gtempd(1,1),EUg(1,1,i+3),gtempd(1,1))
8906 s13d = (gtempd(1,1)+gtempd(2,2))*ss13
8914 gel_loc_turn6(i+1)=gel_loc_turn6(i+1)
8915 & -0.5d0*ekont*(s1d+s2d+s8d+s12d+s13d)
8917 gel_loc_turn6(i+1)=gel_loc_turn6(i+1)
8918 & -0.5d0*ekont*(s2d+s12d)
8920 C Derivatives in gamma(i+4)
8921 call matmat2(EUgder(1,1,i+3),AEA(1,1,2),auxmatd(1,1))
8922 call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
8923 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
8925 call matmat2(achuj_temp(1,1),EUg(1,1,i+2),gtempd(1,1))
8926 call matmat2(gtempd(1,1),EUgder(1,1,i+3),gtempd(1,1))
8927 s13d = (gtempd(1,1)+gtempd(2,2))*ss13
8935 gel_loc_turn6(i+2)=gel_loc_turn6(i+2)-0.5d0*ekont*(s12d+s13d)
8937 gel_loc_turn6(i+2)=gel_loc_turn6(i+2)-0.5d0*ekont*(s12d)
8939 C Derivatives in gamma(i+5)
8941 call transpose2(AEAderg(1,1,1),auxmatd(1,1))
8942 call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8943 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
8945 call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1d(1))
8946 call matvec2(AEAderg(1,1,1),vtemp1d(1),vtemp1d(1))
8947 s2d = scalar2(b1(1,itk),vtemp1d(1))
8949 call transpose2(AEA(1,1,2),atempd(1,1))
8950 call matmat2(atempd(1,1),EUgder(1,1,i+4),atempd(1,1))
8951 s8d = -(atempd(1,1)+atempd(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
8953 call matvec2(auxmat(1,1),Ub2der(1,i+4),vtemp3d(1))
8954 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
8956 call matvec2(a_chuj(1,1,jj,i),Ub2der(1,i+4),vtemp4d(1))
8957 ss13d = scalar2(b1(1,itk),vtemp4d(1))
8958 s13d = (gtemp(1,1)+gtemp(2,2))*ss13d
8966 gel_loc_turn6(i+3)=gel_loc_turn6(i+3)
8967 & -0.5d0*ekont*(s1d+s2d+s8d+s12d+s13d)
8969 gel_loc_turn6(i+3)=gel_loc_turn6(i+3)
8970 & -0.5d0*ekont*(s2d+s12d)
8972 C Cartesian derivatives
8977 call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmatd(1,1))
8978 call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8979 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
8981 call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1(1))
8982 call matvec2(AEAderx(1,1,lll,kkk,iii,1),vtemp1(1),
8984 s2d = scalar2(b1(1,itk),vtemp1d(1))
8986 call transpose2(AEAderx(1,1,lll,kkk,iii,2),atempd(1,1))
8987 call matmat2(atempd(1,1),EUg(1,1,i+4),atempd(1,1))
8988 s8d = -(atempd(1,1)+atempd(2,2))*
8989 & scalar2(cc(1,1,itl),vtemp2(1))
8991 call matmat2(EUg(1,1,i+3),AEAderx(1,1,lll,kkk,iii,2),
8993 call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
8994 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
9001 derx_turn(lll,kkk,iii) = derx_turn(lll,kkk,iii)
9004 derx_turn(lll,kkk,iii) = derx_turn(lll,kkk,iii)
9008 derx_turn(lll,kkk,3-iii) = derx_turn(lll,kkk,3-iii)
9009 & - 0.5d0*(s8d+s12d)
9011 derx_turn(lll,kkk,3-iii) = derx_turn(lll,kkk,3-iii)
9020 call transpose2(a_chuj_der(1,1,lll,kkk,kk,i+1),
9022 call matmat2(achuj_tempd(1,1),EUg(1,1,i+2),gtempd(1,1))
9023 call matmat2(gtempd(1,1),EUg(1,1,i+3),gtempd(1,1))
9024 s13d=(gtempd(1,1)+gtempd(2,2))*ss13
9025 derx_turn(lll,kkk,2) = derx_turn(lll,kkk,2)-0.5d0*s13d
9026 call matvec2(a_chuj_der(1,1,lll,kkk,jj,i),Ub2(1,i+4),
9028 ss13d = scalar2(b1(1,itk),vtemp4d(1))
9029 s13d = (gtemp(1,1)+gtemp(2,2))*ss13d
9030 derx_turn(lll,kkk,1) = derx_turn(lll,kkk,1)-0.5d0*s13d
9034 cd write(iout,*) 'eel6_turn6',eel_turn6,' eel_turn6_num',
9035 cd & 16*eel_turn6_num
9037 if (j.lt.nres-1) then
9044 if (l.lt.nres-1) then
9052 cgrad ggg1(ll)=eel_turn6*g_contij(ll,1)
9053 cgrad ggg2(ll)=eel_turn6*g_contij(ll,2)
9054 cgrad ghalf=0.5d0*ggg1(ll)
9056 gturn6ij=eel_turn6*g_contij(ll,1)+ekont*derx_turn(ll,1,1)
9057 gturn6kl=eel_turn6*g_contij(ll,2)+ekont*derx_turn(ll,1,2)
9058 gcorr6_turn(ll,i)=gcorr6_turn(ll,i)!+ghalf
9059 & +ekont*derx_turn(ll,2,1)
9060 gcorr6_turn(ll,i+1)=gcorr6_turn(ll,i+1)+ekont*derx_turn(ll,3,1)
9061 gcorr6_turn(ll,j)=gcorr6_turn(ll,j)!+ghalf
9062 & +ekont*derx_turn(ll,4,1)
9063 gcorr6_turn(ll,j1)=gcorr6_turn(ll,j1)+ekont*derx_turn(ll,5,1)
9064 gcorr6_turn_long(ll,j)=gcorr6_turn_long(ll,j)+gturn6ij
9065 gcorr6_turn_long(ll,i)=gcorr6_turn_long(ll,i)-gturn6ij
9066 cgrad ghalf=0.5d0*ggg2(ll)
9068 gcorr6_turn(ll,k)=gcorr6_turn(ll,k)!+ghalf
9069 & +ekont*derx_turn(ll,2,2)
9070 gcorr6_turn(ll,k+1)=gcorr6_turn(ll,k+1)+ekont*derx_turn(ll,3,2)
9071 gcorr6_turn(ll,l)=gcorr6_turn(ll,l)!+ghalf
9072 & +ekont*derx_turn(ll,4,2)
9073 gcorr6_turn(ll,l1)=gcorr6_turn(ll,l1)+ekont*derx_turn(ll,5,2)
9074 gcorr6_turn_long(ll,l)=gcorr6_turn_long(ll,l)+gturn6kl
9075 gcorr6_turn_long(ll,k)=gcorr6_turn_long(ll,k)-gturn6kl
9080 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ggg1(ll)
9085 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ggg2(ll)
9091 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ekont*derx_turn(ll,1,1)
9096 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ekont*derx_turn(ll,1,2)
9100 cd write (2,*) iii,g_corr6_loc(iii)
9102 eello_turn6=ekont*eel_turn6
9103 cd write (2,*) 'ekont',ekont
9104 cd write (2,*) 'eel_turn6',ekont*eel_turn6
9108 C-----------------------------------------------------------------------------
9109 double precision function scalar(u,v)
9110 !DIR$ INLINEALWAYS scalar
9112 cDEC$ ATTRIBUTES FORCEINLINE::scalar
9115 double precision u(3),v(3)
9116 cd double precision sc
9124 scalar=u(1)*v(1)+u(2)*v(2)+u(3)*v(3)
9127 crc-------------------------------------------------
9128 SUBROUTINE MATVEC2(A1,V1,V2)
9129 !DIR$ INLINEALWAYS MATVEC2
9131 cDEC$ ATTRIBUTES FORCEINLINE::MATVEC2
9133 implicit real*8 (a-h,o-z)
9134 include 'DIMENSIONS'
9135 DIMENSION A1(2,2),V1(2),V2(2)
9139 c 3 VI=VI+A1(I,K)*V1(K)
9143 vaux1=a1(1,1)*v1(1)+a1(1,2)*v1(2)
9144 vaux2=a1(2,1)*v1(1)+a1(2,2)*v1(2)
9149 C---------------------------------------
9150 SUBROUTINE MATMAT2(A1,A2,A3)
9152 cDEC$ ATTRIBUTES FORCEINLINE::MATMAT2
9154 implicit real*8 (a-h,o-z)
9155 include 'DIMENSIONS'
9156 DIMENSION A1(2,2),A2(2,2),A3(2,2)
9157 c DIMENSION AI3(2,2)
9161 c A3IJ=A3IJ+A1(I,K)*A2(K,J)
9167 ai3_11=a1(1,1)*a2(1,1)+a1(1,2)*a2(2,1)
9168 ai3_12=a1(1,1)*a2(1,2)+a1(1,2)*a2(2,2)
9169 ai3_21=a1(2,1)*a2(1,1)+a1(2,2)*a2(2,1)
9170 ai3_22=a1(2,1)*a2(1,2)+a1(2,2)*a2(2,2)
9178 c-------------------------------------------------------------------------
9179 double precision function scalar2(u,v)
9180 !DIR$ INLINEALWAYS scalar2
9182 double precision u(2),v(2)
9185 scalar2=u(1)*v(1)+u(2)*v(2)
9189 C-----------------------------------------------------------------------------
9191 subroutine transpose2(a,at)
9192 !DIR$ INLINEALWAYS transpose2
9194 cDEC$ ATTRIBUTES FORCEINLINE::transpose2
9197 double precision a(2,2),at(2,2)
9204 c--------------------------------------------------------------------------
9205 subroutine transpose(n,a,at)
9208 double precision a(n,n),at(n,n)
9216 C---------------------------------------------------------------------------
9217 subroutine prodmat3(a1,a2,kk,transp,prod)
9218 !DIR$ INLINEALWAYS prodmat3
9220 cDEC$ ATTRIBUTES FORCEINLINE::prodmat3
9224 double precision a1(2,2),a2(2,2),a2t(2,2),kk(2,2),prod(2,2)
9226 crc double precision auxmat(2,2),prod_(2,2)
9229 crc call transpose2(kk(1,1),auxmat(1,1))
9230 crc call matmat2(a1(1,1),auxmat(1,1),auxmat(1,1))
9231 crc call matmat2(auxmat(1,1),a2(1,1),prod_(1,1))
9233 prod(1,1)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(1,2))*a2(1,1)
9234 & +(a1(1,1)*kk(2,1)+a1(1,2)*kk(2,2))*a2(2,1)
9235 prod(1,2)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(1,2))*a2(1,2)
9236 & +(a1(1,1)*kk(2,1)+a1(1,2)*kk(2,2))*a2(2,2)
9237 prod(2,1)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(1,2))*a2(1,1)
9238 & +(a1(2,1)*kk(2,1)+a1(2,2)*kk(2,2))*a2(2,1)
9239 prod(2,2)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(1,2))*a2(1,2)
9240 & +(a1(2,1)*kk(2,1)+a1(2,2)*kk(2,2))*a2(2,2)
9243 crc call matmat2(a1(1,1),kk(1,1),auxmat(1,1))
9244 crc call matmat2(auxmat(1,1),a2(1,1),prod_(1,1))
9246 prod(1,1)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(2,1))*a2(1,1)
9247 & +(a1(1,1)*kk(1,2)+a1(1,2)*kk(2,2))*a2(2,1)
9248 prod(1,2)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(2,1))*a2(1,2)
9249 & +(a1(1,1)*kk(1,2)+a1(1,2)*kk(2,2))*a2(2,2)
9250 prod(2,1)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(2,1))*a2(1,1)
9251 & +(a1(2,1)*kk(1,2)+a1(2,2)*kk(2,2))*a2(2,1)
9252 prod(2,2)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(2,1))*a2(1,2)
9253 & +(a1(2,1)*kk(1,2)+a1(2,2)*kk(2,2))*a2(2,2)
9256 c call transpose2(a2(1,1),a2t(1,1))
9259 crc print *,((prod_(i,j),i=1,2),j=1,2)
9260 crc print *,((prod(i,j),i=1,2),j=1,2)