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) write (iout,'(a6,2i5,0pf7.3)')
1685 C Calculate gradient components.
1686 e1=e1*eps1*eps2rt**2*eps3rt**2
1687 fac=-expon*(e1+evdwij)*rij_shift
1691 C Calculate the radial part of the gradient
1695 C Calculate angular part of the gradient.
1697 if (bb(itypi,itypj).gt.0) then
1709 c write (iout,*) "Number of loop steps in EGB:",ind
1710 cccc energy_dec=.false.
1713 C-----------------------------------------------------------------------------
1714 subroutine egbv(evdw,evdw_p,evdw_m)
1716 C This subroutine calculates the interaction energy of nonbonded side chains
1717 C assuming the Gay-Berne-Vorobjev potential of interaction.
1719 implicit real*8 (a-h,o-z)
1720 include 'DIMENSIONS'
1721 include 'COMMON.GEO'
1722 include 'COMMON.VAR'
1723 include 'COMMON.LOCAL'
1724 include 'COMMON.CHAIN'
1725 include 'COMMON.DERIV'
1726 include 'COMMON.NAMES'
1727 include 'COMMON.INTERACT'
1728 include 'COMMON.IOUNITS'
1729 include 'COMMON.CALC'
1730 common /srutu/ icall
1733 c print *,'Entering EGB nnt=',nnt,' nct=',nct,' expon=',expon
1736 c if (icall.eq.0) lprn=.true.
1738 do i=iatsc_s,iatsc_e
1744 dxi=dc_norm(1,nres+i)
1745 dyi=dc_norm(2,nres+i)
1746 dzi=dc_norm(3,nres+i)
1747 c dsci_inv=dsc_inv(itypi)
1748 dsci_inv=vbld_inv(i+nres)
1750 C Calculate SC interaction energy.
1752 do iint=1,nint_gr(i)
1753 do j=istart(i,iint),iend(i,iint)
1756 c dscj_inv=dsc_inv(itypj)
1757 dscj_inv=vbld_inv(j+nres)
1758 sig0ij=sigma(itypi,itypj)
1759 r0ij=r0(itypi,itypj)
1760 chi1=chi(itypi,itypj)
1761 chi2=chi(itypj,itypi)
1768 alf12=0.5D0*(alf1+alf2)
1769 C For diagnostics only!!!
1782 dxj=dc_norm(1,nres+j)
1783 dyj=dc_norm(2,nres+j)
1784 dzj=dc_norm(3,nres+j)
1785 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
1787 C Calculate angle-dependent terms of energy and contributions to their
1791 sig=sig0ij*dsqrt(sigsq)
1792 rij_shift=1.0D0/rij-sig+r0ij
1793 C I hate to put IF's in the loops, but here don't have another choice!!!!
1794 if (rij_shift.le.0.0D0) then
1799 c---------------------------------------------------------------
1800 rij_shift=1.0D0/rij_shift
1801 fac=rij_shift**expon
1802 e1=fac*fac*aa(itypi,itypj)
1803 e2=fac*bb(itypi,itypj)
1804 evdwij=eps1*eps2rt*eps3rt*(e1+e2)
1805 eps2der=evdwij*eps3rt
1806 eps3der=evdwij*eps2rt
1807 fac_augm=rrij**expon
1808 e_augm=augm(itypi,itypj)*fac_augm
1809 evdwij=evdwij*eps2rt*eps3rt
1811 if (bb(itypi,itypj).gt.0) then
1812 evdw_p=evdw_p+evdwij+e_augm
1814 evdw_m=evdw_m+evdwij+e_augm
1817 evdw=evdw+evdwij+e_augm
1820 sigm=dabs(aa(itypi,itypj)/bb(itypi,itypj))**(1.0D0/6.0D0)
1821 epsi=bb(itypi,itypj)**2/aa(itypi,itypj)
1822 write (iout,'(2(a3,i3,2x),17(0pf7.3))')
1823 & restyp(itypi),i,restyp(itypj),j,
1824 & epsi,sigm,sig,(augm(itypi,itypj)/epsi)**(1.0D0/12.0D0),
1825 & chi1,chi2,chip1,chip2,
1826 & eps1,eps2rt**2,eps3rt**2,
1827 & om1,om2,om12,1.0D0/rij,1.0D0/rij_shift,
1830 C Calculate gradient components.
1831 e1=e1*eps1*eps2rt**2*eps3rt**2
1832 fac=-expon*(e1+evdwij)*rij_shift
1834 fac=rij*fac-2*expon*rrij*e_augm
1835 C Calculate the radial part of the gradient
1839 C Calculate angular part of the gradient.
1841 if (bb(itypi,itypj).gt.0) then
1853 C-----------------------------------------------------------------------------
1854 subroutine sc_angular
1855 C Calculate eps1,eps2,eps3,sigma, and parts of their derivatives in om1,om2,
1856 C om12. Called by ebp, egb, and egbv.
1858 include 'COMMON.CALC'
1859 include 'COMMON.IOUNITS'
1863 om1=dxi*erij(1)+dyi*erij(2)+dzi*erij(3)
1864 om2=dxj*erij(1)+dyj*erij(2)+dzj*erij(3)
1865 om12=dxi*dxj+dyi*dyj+dzi*dzj
1867 C Calculate eps1(om12) and its derivative in om12
1868 faceps1=1.0D0-om12*chiom12
1869 faceps1_inv=1.0D0/faceps1
1870 eps1=dsqrt(faceps1_inv)
1871 C Following variable is eps1*deps1/dom12
1872 eps1_om12=faceps1_inv*chiom12
1877 c write (iout,*) "om12",om12," eps1",eps1
1878 C Calculate sigma(om1,om2,om12) and the derivatives of sigma**2 in om1,om2,
1883 facsig=om1*chiom1+om2*chiom2-2.0D0*om1om2*chiom12
1884 sigsq=1.0D0-facsig*faceps1_inv
1885 sigsq_om1=(chiom1-chiom12*om2)*faceps1_inv
1886 sigsq_om2=(chiom2-chiom12*om1)*faceps1_inv
1887 sigsq_om12=-chi12*(om1om2*faceps1-om12*facsig)*faceps1_inv**2
1893 c write (iout,*) "chiom1",chiom1," chiom2",chiom2," chiom12",chiom12
1894 c write (iout,*) "faceps1",faceps1," faceps1_inv",faceps1_inv,
1896 C Calculate eps2 and its derivatives in om1, om2, and om12.
1899 chipom12=chip12*om12
1900 facp=1.0D0-om12*chipom12
1902 facp1=om1*chipom1+om2*chipom2-2.0D0*om1om2*chipom12
1903 c write (iout,*) "chipom1",chipom1," chipom2",chipom2,
1904 c & " chipom12",chipom12," facp",facp," facp_inv",facp_inv
1905 C Following variable is the square root of eps2
1906 eps2rt=1.0D0-facp1*facp_inv
1907 C Following three variables are the derivatives of the square root of eps
1908 C in om1, om2, and om12.
1909 eps2rt_om1=-4.0D0*(chipom1-chipom12*om2)*facp_inv
1910 eps2rt_om2=-4.0D0*(chipom2-chipom12*om1)*facp_inv
1911 eps2rt_om12=4.0D0*chip12*(om1om2*facp-om12*facp1)*facp_inv**2
1912 C Evaluate the "asymmetric" factor in the VDW constant, eps3
1913 eps3rt=1.0D0-alf1*om1+alf2*om2-alf12*om12
1914 c write (iout,*) "eps2rt",eps2rt," eps3rt",eps3rt
1915 c write (iout,*) "eps2rt_om1",eps2rt_om1," eps2rt_om2",eps2rt_om2,
1916 c & " eps2rt_om12",eps2rt_om12
1917 C Calculate whole angle-dependent part of epsilon and contributions
1918 C to its derivatives
1922 C----------------------------------------------------------------------------
1923 subroutine sc_grad_T
1924 implicit real*8 (a-h,o-z)
1925 include 'DIMENSIONS'
1926 include 'COMMON.CHAIN'
1927 include 'COMMON.DERIV'
1928 include 'COMMON.CALC'
1929 include 'COMMON.IOUNITS'
1930 double precision dcosom1(3),dcosom2(3)
1931 eom1=eps2der*eps2rt_om1-2.0D0*alf1*eps3der+sigder*sigsq_om1
1932 eom2=eps2der*eps2rt_om2+2.0D0*alf2*eps3der+sigder*sigsq_om2
1933 eom12=evdwij*eps1_om12+eps2der*eps2rt_om12
1934 & -2.0D0*alf12*eps3der+sigder*sigsq_om12
1938 c eom12=evdwij*eps1_om12
1940 c write (iout,*) "eps2der",eps2der," eps3der",eps3der,
1941 c & " sigder",sigder
1942 c write (iout,*) "eps1_om12",eps1_om12," eps2rt_om12",eps2rt_om12
1943 c write (iout,*) "eom1",eom1," eom2",eom2," eom12",eom12
1945 dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
1946 dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
1949 gg(k)=gg(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
1951 c write (iout,*) "gg",(gg(k),k=1,3)
1953 gvdwxT(k,i)=gvdwxT(k,i)-gg(k)
1954 & +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
1955 & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
1956 gvdwxT(k,j)=gvdwxT(k,j)+gg(k)
1957 & +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
1958 & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
1959 c write (iout,*)(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
1960 c & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
1961 c write (iout,*)(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
1962 c & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
1965 C Calculate the components of the gradient in DC and X
1969 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
1973 gvdwcT(l,i)=gvdwcT(l,i)-gg(l)
1974 gvdwcT(l,j)=gvdwcT(l,j)+gg(l)
1979 C----------------------------------------------------------------------------
1981 implicit real*8 (a-h,o-z)
1982 include 'DIMENSIONS'
1983 include 'COMMON.CHAIN'
1984 include 'COMMON.DERIV'
1985 include 'COMMON.CALC'
1986 include 'COMMON.IOUNITS'
1987 double precision dcosom1(3),dcosom2(3)
1988 eom1=eps2der*eps2rt_om1-2.0D0*alf1*eps3der+sigder*sigsq_om1
1989 eom2=eps2der*eps2rt_om2+2.0D0*alf2*eps3der+sigder*sigsq_om2
1990 eom12=evdwij*eps1_om12+eps2der*eps2rt_om12
1991 & -2.0D0*alf12*eps3der+sigder*sigsq_om12
1995 c eom12=evdwij*eps1_om12
1997 c write (iout,*) "eps2der",eps2der," eps3der",eps3der,
1998 c & " sigder",sigder
1999 c write (iout,*) "eps1_om12",eps1_om12," eps2rt_om12",eps2rt_om12
2000 c write (iout,*) "eom1",eom1," eom2",eom2," eom12",eom12
2002 dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
2003 dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
2006 gg(k)=gg(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
2008 c write (iout,*) "gg",(gg(k),k=1,3)
2010 gvdwx(k,i)=gvdwx(k,i)-gg(k)
2011 & +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2012 & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2013 gvdwx(k,j)=gvdwx(k,j)+gg(k)
2014 & +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2015 & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2016 c write (iout,*)(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
2017 c & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
2018 c write (iout,*)(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
2019 c & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
2022 C Calculate the components of the gradient in DC and X
2026 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
2030 gvdwc(l,i)=gvdwc(l,i)-gg(l)
2031 gvdwc(l,j)=gvdwc(l,j)+gg(l)
2035 C-----------------------------------------------------------------------
2036 subroutine e_softsphere(evdw)
2038 C This subroutine calculates the interaction energy of nonbonded side chains
2039 C assuming the LJ potential of interaction.
2041 implicit real*8 (a-h,o-z)
2042 include 'DIMENSIONS'
2043 parameter (accur=1.0d-10)
2044 include 'COMMON.GEO'
2045 include 'COMMON.VAR'
2046 include 'COMMON.LOCAL'
2047 include 'COMMON.CHAIN'
2048 include 'COMMON.DERIV'
2049 include 'COMMON.INTERACT'
2050 include 'COMMON.TORSION'
2051 include 'COMMON.SBRIDGE'
2052 include 'COMMON.NAMES'
2053 include 'COMMON.IOUNITS'
2054 include 'COMMON.CONTACTS'
2056 cd print *,'Entering Esoft_sphere nnt=',nnt,' nct=',nct
2058 do i=iatsc_s,iatsc_e
2065 C Calculate SC interaction energy.
2067 do iint=1,nint_gr(i)
2068 cd write (iout,*) 'i=',i,' iint=',iint,' istart=',istart(i,iint),
2069 cd & 'iend=',iend(i,iint)
2070 do j=istart(i,iint),iend(i,iint)
2075 rij=xj*xj+yj*yj+zj*zj
2076 c write (iout,*)'i=',i,' j=',j,' itypi=',itypi,' itypj=',itypj
2077 r0ij=r0(itypi,itypj)
2079 c print *,i,j,r0ij,dsqrt(rij)
2080 if (rij.lt.r0ijsq) then
2081 evdwij=0.25d0*(rij-r0ijsq)**2
2089 C Calculate the components of the gradient in DC and X
2095 gvdwx(k,i)=gvdwx(k,i)-gg(k)
2096 gvdwx(k,j)=gvdwx(k,j)+gg(k)
2097 gvdwc(k,i)=gvdwc(k,i)-gg(k)
2098 gvdwc(k,j)=gvdwc(k,j)+gg(k)
2102 cgrad gvdwc(l,k)=gvdwc(l,k)+gg(l)
2110 C--------------------------------------------------------------------------
2111 subroutine eelec_soft_sphere(ees,evdw1,eel_loc,eello_turn3,
2114 C Soft-sphere potential of p-p interaction
2116 implicit real*8 (a-h,o-z)
2117 include 'DIMENSIONS'
2118 include 'COMMON.CONTROL'
2119 include 'COMMON.IOUNITS'
2120 include 'COMMON.GEO'
2121 include 'COMMON.VAR'
2122 include 'COMMON.LOCAL'
2123 include 'COMMON.CHAIN'
2124 include 'COMMON.DERIV'
2125 include 'COMMON.INTERACT'
2126 include 'COMMON.CONTACTS'
2127 include 'COMMON.TORSION'
2128 include 'COMMON.VECTORS'
2129 include 'COMMON.FFIELD'
2131 cd write(iout,*) 'In EELEC_soft_sphere'
2138 do i=iatel_s,iatel_e
2142 xmedi=c(1,i)+0.5d0*dxi
2143 ymedi=c(2,i)+0.5d0*dyi
2144 zmedi=c(3,i)+0.5d0*dzi
2146 c write (iout,*) 'i',i,' ielstart',ielstart(i),' ielend',ielend(i)
2147 do j=ielstart(i),ielend(i)
2151 if (j.eq.i+2 .and. itelj.eq.2) iteli=2
2152 r0ij=rpp(iteli,itelj)
2157 xj=c(1,j)+0.5D0*dxj-xmedi
2158 yj=c(2,j)+0.5D0*dyj-ymedi
2159 zj=c(3,j)+0.5D0*dzj-zmedi
2160 rij=xj*xj+yj*yj+zj*zj
2161 if (rij.lt.r0ijsq) then
2162 evdw1ij=0.25d0*(rij-r0ijsq)**2
2170 C Calculate contributions to the Cartesian gradient.
2176 gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
2177 gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
2180 * Loop over residues i+1 thru j-1.
2184 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
2189 cgrad do i=nnt,nct-1
2191 cgrad gelc(k,i)=gelc(k,i)+0.5d0*gelc(k,i)
2193 cgrad do j=i+1,nct-1
2195 cgrad gelc(k,i)=gelc(k,i)+gelc(k,j)
2201 c------------------------------------------------------------------------------
2202 subroutine vec_and_deriv
2203 implicit real*8 (a-h,o-z)
2204 include 'DIMENSIONS'
2208 include 'COMMON.IOUNITS'
2209 include 'COMMON.GEO'
2210 include 'COMMON.VAR'
2211 include 'COMMON.LOCAL'
2212 include 'COMMON.CHAIN'
2213 include 'COMMON.VECTORS'
2214 include 'COMMON.SETUP'
2215 include 'COMMON.TIME1'
2216 dimension uyder(3,3,2),uzder(3,3,2),vbld_inv_temp(2)
2217 C Compute the local reference systems. For reference system (i), the
2218 C X-axis points from CA(i) to CA(i+1), the Y axis is in the
2219 C CA(i)-CA(i+1)-CA(i+2) plane, and the Z axis is perpendicular to this plane.
2221 do i=ivec_start,ivec_end
2225 if (i.eq.nres-1) then
2226 C Case of the last full residue
2227 C Compute the Z-axis
2228 call vecpr(dc_norm(1,i),dc_norm(1,i-1),uz(1,i))
2229 costh=dcos(pi-theta(nres))
2230 fac=1.0d0/dsqrt(1.0d0-costh*costh)
2234 C Compute the derivatives of uz
2236 uzder(2,1,1)=-dc_norm(3,i-1)
2237 uzder(3,1,1)= dc_norm(2,i-1)
2238 uzder(1,2,1)= dc_norm(3,i-1)
2240 uzder(3,2,1)=-dc_norm(1,i-1)
2241 uzder(1,3,1)=-dc_norm(2,i-1)
2242 uzder(2,3,1)= dc_norm(1,i-1)
2245 uzder(2,1,2)= dc_norm(3,i)
2246 uzder(3,1,2)=-dc_norm(2,i)
2247 uzder(1,2,2)=-dc_norm(3,i)
2249 uzder(3,2,2)= dc_norm(1,i)
2250 uzder(1,3,2)= dc_norm(2,i)
2251 uzder(2,3,2)=-dc_norm(1,i)
2253 C Compute the Y-axis
2256 uy(k,i)=fac*(dc_norm(k,i-1)-costh*dc_norm(k,i))
2258 C Compute the derivatives of uy
2261 uyder(k,j,1)=2*dc_norm(k,i-1)*dc_norm(j,i)
2262 & -dc_norm(k,i)*dc_norm(j,i-1)
2263 uyder(k,j,2)=-dc_norm(j,i)*dc_norm(k,i)
2265 uyder(j,j,1)=uyder(j,j,1)-costh
2266 uyder(j,j,2)=1.0d0+uyder(j,j,2)
2271 uygrad(l,k,j,i)=uyder(l,k,j)
2272 uzgrad(l,k,j,i)=uzder(l,k,j)
2276 call unormderiv(uy(1,i),uyder(1,1,1),facy,uygrad(1,1,1,i))
2277 call unormderiv(uy(1,i),uyder(1,1,2),facy,uygrad(1,1,2,i))
2278 call unormderiv(uz(1,i),uzder(1,1,1),fac,uzgrad(1,1,1,i))
2279 call unormderiv(uz(1,i),uzder(1,1,2),fac,uzgrad(1,1,2,i))
2282 C Compute the Z-axis
2283 call vecpr(dc_norm(1,i),dc_norm(1,i+1),uz(1,i))
2284 costh=dcos(pi-theta(i+2))
2285 fac=1.0d0/dsqrt(1.0d0-costh*costh)
2289 C Compute the derivatives of uz
2291 uzder(2,1,1)=-dc_norm(3,i+1)
2292 uzder(3,1,1)= dc_norm(2,i+1)
2293 uzder(1,2,1)= dc_norm(3,i+1)
2295 uzder(3,2,1)=-dc_norm(1,i+1)
2296 uzder(1,3,1)=-dc_norm(2,i+1)
2297 uzder(2,3,1)= dc_norm(1,i+1)
2300 uzder(2,1,2)= dc_norm(3,i)
2301 uzder(3,1,2)=-dc_norm(2,i)
2302 uzder(1,2,2)=-dc_norm(3,i)
2304 uzder(3,2,2)= dc_norm(1,i)
2305 uzder(1,3,2)= dc_norm(2,i)
2306 uzder(2,3,2)=-dc_norm(1,i)
2308 C Compute the Y-axis
2311 uy(k,i)=facy*(dc_norm(k,i+1)-costh*dc_norm(k,i))
2313 C Compute the derivatives of uy
2316 uyder(k,j,1)=2*dc_norm(k,i+1)*dc_norm(j,i)
2317 & -dc_norm(k,i)*dc_norm(j,i+1)
2318 uyder(k,j,2)=-dc_norm(j,i)*dc_norm(k,i)
2320 uyder(j,j,1)=uyder(j,j,1)-costh
2321 uyder(j,j,2)=1.0d0+uyder(j,j,2)
2326 uygrad(l,k,j,i)=uyder(l,k,j)
2327 uzgrad(l,k,j,i)=uzder(l,k,j)
2331 call unormderiv(uy(1,i),uyder(1,1,1),facy,uygrad(1,1,1,i))
2332 call unormderiv(uy(1,i),uyder(1,1,2),facy,uygrad(1,1,2,i))
2333 call unormderiv(uz(1,i),uzder(1,1,1),fac,uzgrad(1,1,1,i))
2334 call unormderiv(uz(1,i),uzder(1,1,2),fac,uzgrad(1,1,2,i))
2338 vbld_inv_temp(1)=vbld_inv(i+1)
2339 if (i.lt.nres-1) then
2340 vbld_inv_temp(2)=vbld_inv(i+2)
2342 vbld_inv_temp(2)=vbld_inv(i)
2347 uygrad(l,k,j,i)=vbld_inv_temp(j)*uygrad(l,k,j,i)
2348 uzgrad(l,k,j,i)=vbld_inv_temp(j)*uzgrad(l,k,j,i)
2353 #if defined(PARVEC) && defined(MPI)
2354 if (nfgtasks1.gt.1) then
2356 c print *,"Processor",fg_rank1,kolor1," ivec_start",ivec_start,
2357 c & " ivec_displ",(ivec_displ(i),i=0,nfgtasks1-1),
2358 c & " ivec_count",(ivec_count(i),i=0,nfgtasks1-1)
2359 call MPI_Allgatherv(uy(1,ivec_start),ivec_count(fg_rank1),
2360 & MPI_UYZ,uy(1,1),ivec_count(0),ivec_displ(0),MPI_UYZ,
2362 call MPI_Allgatherv(uz(1,ivec_start),ivec_count(fg_rank1),
2363 & MPI_UYZ,uz(1,1),ivec_count(0),ivec_displ(0),MPI_UYZ,
2365 call MPI_Allgatherv(uygrad(1,1,1,ivec_start),
2366 & ivec_count(fg_rank1),MPI_UYZGRAD,uygrad(1,1,1,1),ivec_count(0),
2367 & ivec_displ(0),MPI_UYZGRAD,FG_COMM1,IERR)
2368 call MPI_Allgatherv(uzgrad(1,1,1,ivec_start),
2369 & ivec_count(fg_rank1),MPI_UYZGRAD,uzgrad(1,1,1,1),ivec_count(0),
2370 & ivec_displ(0),MPI_UYZGRAD,FG_COMM1,IERR)
2371 time_gather=time_gather+MPI_Wtime()-time00
2373 c if (fg_rank.eq.0) then
2374 c write (iout,*) "Arrays UY and UZ"
2376 c write (iout,'(i5,3f10.5,5x,3f10.5)') i,(uy(k,i),k=1,3),
2383 C-----------------------------------------------------------------------------
2384 subroutine check_vecgrad
2385 implicit real*8 (a-h,o-z)
2386 include 'DIMENSIONS'
2387 include 'COMMON.IOUNITS'
2388 include 'COMMON.GEO'
2389 include 'COMMON.VAR'
2390 include 'COMMON.LOCAL'
2391 include 'COMMON.CHAIN'
2392 include 'COMMON.VECTORS'
2393 dimension uygradt(3,3,2,maxres),uzgradt(3,3,2,maxres)
2394 dimension uyt(3,maxres),uzt(3,maxres)
2395 dimension uygradn(3,3,2),uzgradn(3,3,2),erij(3)
2396 double precision delta /1.0d-7/
2399 crc write(iout,'(2i5,2(3f10.5,5x))') i,1,dc_norm(:,i)
2400 crc write(iout,'(2i5,2(3f10.5,5x))') i,2,uy(:,i)
2401 crc write(iout,'(2i5,2(3f10.5,5x)/)')i,3,uz(:,i)
2402 cd write(iout,'(2i5,2(3f10.5,5x))') i,1,
2403 cd & (dc_norm(if90,i),if90=1,3)
2404 cd write(iout,'(2i5,2(3f10.5,5x))') i,2,(uy(if90,i),if90=1,3)
2405 cd write(iout,'(2i5,2(3f10.5,5x)/)')i,3,(uz(if90,i),if90=1,3)
2406 cd write(iout,'(a)')
2412 uygradt(l,k,j,i)=uygrad(l,k,j,i)
2413 uzgradt(l,k,j,i)=uzgrad(l,k,j,i)
2426 cd write (iout,*) 'i=',i
2428 erij(k)=dc_norm(k,i)
2432 dc_norm(k,i)=erij(k)
2434 dc_norm(j,i)=dc_norm(j,i)+delta
2435 c fac=dsqrt(scalar(dc_norm(1,i),dc_norm(1,i)))
2437 c dc_norm(k,i)=dc_norm(k,i)/fac
2439 c write (iout,*) (dc_norm(k,i),k=1,3)
2440 c write (iout,*) (erij(k),k=1,3)
2443 uygradn(k,j,1)=(uy(k,i)-uyt(k,i))/delta
2444 uygradn(k,j,2)=(uy(k,i-1)-uyt(k,i-1))/delta
2445 uzgradn(k,j,1)=(uz(k,i)-uzt(k,i))/delta
2446 uzgradn(k,j,2)=(uz(k,i-1)-uzt(k,i-1))/delta
2448 c write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)')
2449 c & j,(uzgradt(k,j,1,i),k=1,3),(uzgradn(k,j,1),k=1,3),
2450 c & (uzgradt(k,j,2,i-1),k=1,3),(uzgradn(k,j,2),k=1,3)
2453 dc_norm(k,i)=erij(k)
2456 cd write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)')
2457 cd & k,(uygradt(k,l,1,i),l=1,3),(uygradn(k,l,1),l=1,3),
2458 cd & (uygradt(k,l,2,i-1),l=1,3),(uygradn(k,l,2),l=1,3)
2459 cd write (iout,'(i5,3f8.5,3x,3f8.5,5x,3f8.5,3x,3f8.5)')
2460 cd & k,(uzgradt(k,l,1,i),l=1,3),(uzgradn(k,l,1),l=1,3),
2461 cd & (uzgradt(k,l,2,i-1),l=1,3),(uzgradn(k,l,2),l=1,3)
2462 cd write (iout,'(a)')
2467 C--------------------------------------------------------------------------
2468 subroutine set_matrices
2469 implicit real*8 (a-h,o-z)
2470 include 'DIMENSIONS'
2473 include "COMMON.SETUP"
2475 integer status(MPI_STATUS_SIZE)
2477 include 'COMMON.IOUNITS'
2478 include 'COMMON.GEO'
2479 include 'COMMON.VAR'
2480 include 'COMMON.LOCAL'
2481 include 'COMMON.CHAIN'
2482 include 'COMMON.DERIV'
2483 include 'COMMON.INTERACT'
2484 include 'COMMON.CONTACTS'
2485 include 'COMMON.TORSION'
2486 include 'COMMON.VECTORS'
2487 include 'COMMON.FFIELD'
2488 double precision auxvec(2),auxmat(2,2)
2490 C Compute the virtual-bond-torsional-angle dependent quantities needed
2491 C to calculate the el-loc multibody terms of various order.
2494 do i=ivec_start+2,ivec_end+2
2498 if (i .lt. nres+1) then
2535 if (i .gt. 3 .and. i .lt. nres+1) then
2536 obrot_der(1,i-2)=-sin1
2537 obrot_der(2,i-2)= cos1
2538 Ugder(1,1,i-2)= sin1
2539 Ugder(1,2,i-2)=-cos1
2540 Ugder(2,1,i-2)=-cos1
2541 Ugder(2,2,i-2)=-sin1
2544 obrot2_der(1,i-2)=-dwasin2
2545 obrot2_der(2,i-2)= dwacos2
2546 Ug2der(1,1,i-2)= dwasin2
2547 Ug2der(1,2,i-2)=-dwacos2
2548 Ug2der(2,1,i-2)=-dwacos2
2549 Ug2der(2,2,i-2)=-dwasin2
2551 obrot_der(1,i-2)=0.0d0
2552 obrot_der(2,i-2)=0.0d0
2553 Ugder(1,1,i-2)=0.0d0
2554 Ugder(1,2,i-2)=0.0d0
2555 Ugder(2,1,i-2)=0.0d0
2556 Ugder(2,2,i-2)=0.0d0
2557 obrot2_der(1,i-2)=0.0d0
2558 obrot2_der(2,i-2)=0.0d0
2559 Ug2der(1,1,i-2)=0.0d0
2560 Ug2der(1,2,i-2)=0.0d0
2561 Ug2der(2,1,i-2)=0.0d0
2562 Ug2der(2,2,i-2)=0.0d0
2564 c if (i.gt. iatel_s+2 .and. i.lt.iatel_e+5) then
2565 if (i.gt. nnt+2 .and. i.lt.nct+2) then
2566 iti = itortyp(itype(i-2))
2570 c if (i.gt. iatel_s+1 .and. i.lt.iatel_e+4) then
2571 if (i.gt. nnt+1 .and. i.lt.nct+1) then
2572 iti1 = itortyp(itype(i-1))
2576 cd write (iout,*) '*******i',i,' iti1',iti
2577 cd write (iout,*) 'b1',b1(:,iti)
2578 cd write (iout,*) 'b2',b2(:,iti)
2579 cd write (iout,*) 'Ug',Ug(:,:,i-2)
2580 c if (i .gt. iatel_s+2) then
2581 if (i .gt. nnt+2) then
2582 call matvec2(Ug(1,1,i-2),b2(1,iti),Ub2(1,i-2))
2583 call matmat2(EE(1,1,iti),Ug(1,1,i-2),EUg(1,1,i-2))
2584 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0)
2586 call matmat2(CC(1,1,iti),Ug(1,1,i-2),CUg(1,1,i-2))
2587 call matmat2(DD(1,1,iti),Ug(1,1,i-2),DUg(1,1,i-2))
2588 call matmat2(Dtilde(1,1,iti),Ug2(1,1,i-2),DtUg2(1,1,i-2))
2589 call matvec2(Ctilde(1,1,iti1),obrot(1,i-2),Ctobr(1,i-2))
2590 call matvec2(Dtilde(1,1,iti),obrot2(1,i-2),Dtobr2(1,i-2))
2601 DtUg2(l,k,i-2)=0.0d0
2605 call matvec2(Ugder(1,1,i-2),b2(1,iti),Ub2der(1,i-2))
2606 call matmat2(EE(1,1,iti),Ugder(1,1,i-2),EUgder(1,1,i-2))
2608 muder(k,i-2)=Ub2der(k,i-2)
2610 c if (i.gt. iatel_s+1 .and. i.lt.iatel_e+4) then
2611 if (i.gt. nnt+1 .and. i.lt.nct+1) then
2612 iti1 = itortyp(itype(i-1))
2617 mu(k,i-2)=Ub2(k,i-2)+b1(k,iti1)
2619 cd write (iout,*) 'mu ',mu(:,i-2)
2620 cd write (iout,*) 'mu1',mu1(:,i-2)
2621 cd write (iout,*) 'mu2',mu2(:,i-2)
2622 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.wcorr6.gt.0.0d0)
2624 call matmat2(CC(1,1,iti1),Ugder(1,1,i-2),CUgder(1,1,i-2))
2625 call matmat2(DD(1,1,iti),Ugder(1,1,i-2),DUgder(1,1,i-2))
2626 call matmat2(Dtilde(1,1,iti),Ug2der(1,1,i-2),DtUg2der(1,1,i-2))
2627 call matvec2(Ctilde(1,1,iti1),obrot_der(1,i-2),Ctobrder(1,i-2))
2628 call matvec2(Dtilde(1,1,iti),obrot2_der(1,i-2),Dtobr2der(1,i-2))
2629 C Vectors and matrices dependent on a single virtual-bond dihedral.
2630 call matvec2(DD(1,1,iti),b1tilde(1,iti1),auxvec(1))
2631 call matvec2(Ug2(1,1,i-2),auxvec(1),Ug2Db1t(1,i-2))
2632 call matvec2(Ug2der(1,1,i-2),auxvec(1),Ug2Db1tder(1,i-2))
2633 call matvec2(CC(1,1,iti1),Ub2(1,i-2),CUgb2(1,i-2))
2634 call matvec2(CC(1,1,iti1),Ub2der(1,i-2),CUgb2der(1,i-2))
2635 call matmat2(EUg(1,1,i-2),CC(1,1,iti1),EUgC(1,1,i-2))
2636 call matmat2(EUgder(1,1,i-2),CC(1,1,iti1),EUgCder(1,1,i-2))
2637 call matmat2(EUg(1,1,i-2),DD(1,1,iti1),EUgD(1,1,i-2))
2638 call matmat2(EUgder(1,1,i-2),DD(1,1,iti1),EUgDder(1,1,i-2))
2641 C Matrices dependent on two consecutive virtual-bond dihedrals.
2642 C The order of matrices is from left to right.
2643 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.wcorr6.gt.0.0d0)
2645 c do i=max0(ivec_start,2),ivec_end
2647 call matmat2(DtUg2(1,1,i-1),EUg(1,1,i),DtUg2EUg(1,1,i))
2648 call matmat2(DtUg2der(1,1,i-1),EUg(1,1,i),DtUg2EUgder(1,1,1,i))
2649 call matmat2(DtUg2(1,1,i-1),EUgder(1,1,i),DtUg2EUgder(1,1,2,i))
2650 call transpose2(DtUg2(1,1,i-1),auxmat(1,1))
2651 call matmat2(auxmat(1,1),EUg(1,1,i),Ug2DtEUg(1,1,i))
2652 call matmat2(auxmat(1,1),EUgder(1,1,i),Ug2DtEUgder(1,1,2,i))
2653 call transpose2(DtUg2der(1,1,i-1),auxmat(1,1))
2654 call matmat2(auxmat(1,1),EUg(1,1,i),Ug2DtEUgder(1,1,1,i))
2657 #if defined(MPI) && defined(PARMAT)
2659 c if (fg_rank.eq.0) then
2660 write (iout,*) "Arrays UG and UGDER before GATHER"
2662 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2663 & ((ug(l,k,i),l=1,2),k=1,2),
2664 & ((ugder(l,k,i),l=1,2),k=1,2)
2666 write (iout,*) "Arrays UG2 and UG2DER"
2668 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2669 & ((ug2(l,k,i),l=1,2),k=1,2),
2670 & ((ug2der(l,k,i),l=1,2),k=1,2)
2672 write (iout,*) "Arrays OBROT OBROT2 OBROTDER and OBROT2DER"
2674 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2675 & (obrot(k,i),k=1,2),(obrot2(k,i),k=1,2),
2676 & (obrot_der(k,i),k=1,2),(obrot2_der(k,i),k=1,2)
2678 write (iout,*) "Arrays COSTAB SINTAB COSTAB2 and SINTAB2"
2680 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2681 & costab(i),sintab(i),costab2(i),sintab2(i)
2683 write (iout,*) "Array MUDER"
2685 write (iout,'(i5,2f10.5)') i,muder(1,i),muder(2,i)
2689 if (nfgtasks.gt.1) then
2691 c write(iout,*)"Processor",fg_rank,kolor," ivec_start",ivec_start,
2692 c & " ivec_displ",(ivec_displ(i),i=0,nfgtasks-1),
2693 c & " ivec_count",(ivec_count(i),i=0,nfgtasks-1)
2695 call MPI_Allgatherv(Ub2(1,ivec_start),ivec_count(fg_rank1),
2696 & MPI_MU,Ub2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2698 call MPI_Allgatherv(Ub2der(1,ivec_start),ivec_count(fg_rank1),
2699 & MPI_MU,Ub2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2701 call MPI_Allgatherv(mu(1,ivec_start),ivec_count(fg_rank1),
2702 & MPI_MU,mu(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2704 call MPI_Allgatherv(muder(1,ivec_start),ivec_count(fg_rank1),
2705 & MPI_MU,muder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2707 call MPI_Allgatherv(Eug(1,1,ivec_start),ivec_count(fg_rank1),
2708 & MPI_MAT1,Eug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2710 call MPI_Allgatherv(Eugder(1,1,ivec_start),ivec_count(fg_rank1),
2711 & MPI_MAT1,Eugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2713 call MPI_Allgatherv(costab(ivec_start),ivec_count(fg_rank1),
2714 & MPI_DOUBLE_PRECISION,costab(1),ivec_count(0),ivec_displ(0),
2715 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2716 call MPI_Allgatherv(sintab(ivec_start),ivec_count(fg_rank1),
2717 & MPI_DOUBLE_PRECISION,sintab(1),ivec_count(0),ivec_displ(0),
2718 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2719 call MPI_Allgatherv(costab2(ivec_start),ivec_count(fg_rank1),
2720 & MPI_DOUBLE_PRECISION,costab2(1),ivec_count(0),ivec_displ(0),
2721 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2722 call MPI_Allgatherv(sintab2(ivec_start),ivec_count(fg_rank1),
2723 & MPI_DOUBLE_PRECISION,sintab2(1),ivec_count(0),ivec_displ(0),
2724 & MPI_DOUBLE_PRECISION,FG_COMM1,IERR)
2725 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0)
2727 call MPI_Allgatherv(Ctobr(1,ivec_start),ivec_count(fg_rank1),
2728 & MPI_MU,Ctobr(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2730 call MPI_Allgatherv(Ctobrder(1,ivec_start),ivec_count(fg_rank1),
2731 & MPI_MU,Ctobrder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2733 call MPI_Allgatherv(Dtobr2(1,ivec_start),ivec_count(fg_rank1),
2734 & MPI_MU,Dtobr2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2736 call MPI_Allgatherv(Dtobr2der(1,ivec_start),ivec_count(fg_rank1),
2737 & MPI_MU,Dtobr2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2739 call MPI_Allgatherv(Ug2Db1t(1,ivec_start),ivec_count(fg_rank1),
2740 & MPI_MU,Ug2Db1t(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2742 call MPI_Allgatherv(Ug2Db1tder(1,ivec_start),
2743 & ivec_count(fg_rank1),
2744 & MPI_MU,Ug2Db1tder(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2746 call MPI_Allgatherv(CUgb2(1,ivec_start),ivec_count(fg_rank1),
2747 & MPI_MU,CUgb2(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2749 call MPI_Allgatherv(CUgb2der(1,ivec_start),ivec_count(fg_rank1),
2750 & MPI_MU,CUgb2der(1,1),ivec_count(0),ivec_displ(0),MPI_MU,
2752 call MPI_Allgatherv(Cug(1,1,ivec_start),ivec_count(fg_rank1),
2753 & MPI_MAT1,Cug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2755 call MPI_Allgatherv(Cugder(1,1,ivec_start),ivec_count(fg_rank1),
2756 & MPI_MAT1,Cugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2758 call MPI_Allgatherv(Dug(1,1,ivec_start),ivec_count(fg_rank1),
2759 & MPI_MAT1,Dug(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2761 call MPI_Allgatherv(Dugder(1,1,ivec_start),ivec_count(fg_rank1),
2762 & MPI_MAT1,Dugder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2764 call MPI_Allgatherv(Dtug2(1,1,ivec_start),ivec_count(fg_rank1),
2765 & MPI_MAT1,Dtug2(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2767 call MPI_Allgatherv(Dtug2der(1,1,ivec_start),
2768 & ivec_count(fg_rank1),
2769 & MPI_MAT1,Dtug2der(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2771 call MPI_Allgatherv(EugC(1,1,ivec_start),ivec_count(fg_rank1),
2772 & MPI_MAT1,EugC(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2774 call MPI_Allgatherv(EugCder(1,1,ivec_start),ivec_count(fg_rank1),
2775 & MPI_MAT1,EugCder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2777 call MPI_Allgatherv(EugD(1,1,ivec_start),ivec_count(fg_rank1),
2778 & MPI_MAT1,EugD(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2780 call MPI_Allgatherv(EugDder(1,1,ivec_start),ivec_count(fg_rank1),
2781 & MPI_MAT1,EugDder(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2783 call MPI_Allgatherv(DtUg2EUg(1,1,ivec_start),
2784 & ivec_count(fg_rank1),
2785 & MPI_MAT1,DtUg2EUg(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2787 call MPI_Allgatherv(Ug2DtEUg(1,1,ivec_start),
2788 & ivec_count(fg_rank1),
2789 & MPI_MAT1,Ug2DtEUg(1,1,1),ivec_count(0),ivec_displ(0),MPI_MAT1,
2791 call MPI_Allgatherv(DtUg2EUgder(1,1,1,ivec_start),
2792 & ivec_count(fg_rank1),
2793 & MPI_MAT2,DtUg2EUgder(1,1,1,1),ivec_count(0),ivec_displ(0),
2794 & MPI_MAT2,FG_COMM1,IERR)
2795 call MPI_Allgatherv(Ug2DtEUgder(1,1,1,ivec_start),
2796 & ivec_count(fg_rank1),
2797 & MPI_MAT2,Ug2DtEUgder(1,1,1,1),ivec_count(0),ivec_displ(0),
2798 & MPI_MAT2,FG_COMM1,IERR)
2801 c Passes matrix info through the ring
2804 if (irecv.lt.0) irecv=nfgtasks1-1
2807 if (inext.ge.nfgtasks1) inext=0
2809 c write (iout,*) "isend",isend," irecv",irecv
2811 lensend=lentyp(isend)
2812 lenrecv=lentyp(irecv)
2813 c write (iout,*) "lensend",lensend," lenrecv",lenrecv
2814 c call MPI_SENDRECV(ug(1,1,ivec_displ(isend)+1),1,
2815 c & MPI_ROTAT1(lensend),inext,2200+isend,
2816 c & ug(1,1,ivec_displ(irecv)+1),1,MPI_ROTAT1(lenrecv),
2817 c & iprev,2200+irecv,FG_COMM,status,IERR)
2818 c write (iout,*) "Gather ROTAT1"
2820 c call MPI_SENDRECV(obrot(1,ivec_displ(isend)+1),1,
2821 c & MPI_ROTAT2(lensend),inext,3300+isend,
2822 c & obrot(1,ivec_displ(irecv)+1),1,MPI_ROTAT2(lenrecv),
2823 c & iprev,3300+irecv,FG_COMM,status,IERR)
2824 c write (iout,*) "Gather ROTAT2"
2826 call MPI_SENDRECV(costab(ivec_displ(isend)+1),1,
2827 & MPI_ROTAT_OLD(lensend),inext,4400+isend,
2828 & costab(ivec_displ(irecv)+1),1,MPI_ROTAT_OLD(lenrecv),
2829 & iprev,4400+irecv,FG_COMM,status,IERR)
2830 c write (iout,*) "Gather ROTAT_OLD"
2832 call MPI_SENDRECV(mu(1,ivec_displ(isend)+1),1,
2833 & MPI_PRECOMP11(lensend),inext,5500+isend,
2834 & mu(1,ivec_displ(irecv)+1),1,MPI_PRECOMP11(lenrecv),
2835 & iprev,5500+irecv,FG_COMM,status,IERR)
2836 c write (iout,*) "Gather PRECOMP11"
2838 call MPI_SENDRECV(Eug(1,1,ivec_displ(isend)+1),1,
2839 & MPI_PRECOMP12(lensend),inext,6600+isend,
2840 & Eug(1,1,ivec_displ(irecv)+1),1,MPI_PRECOMP12(lenrecv),
2841 & iprev,6600+irecv,FG_COMM,status,IERR)
2842 c write (iout,*) "Gather PRECOMP12"
2844 if (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0)
2846 call MPI_SENDRECV(ug2db1t(1,ivec_displ(isend)+1),1,
2847 & MPI_ROTAT2(lensend),inext,7700+isend,
2848 & ug2db1t(1,ivec_displ(irecv)+1),1,MPI_ROTAT2(lenrecv),
2849 & iprev,7700+irecv,FG_COMM,status,IERR)
2850 c write (iout,*) "Gather PRECOMP21"
2852 call MPI_SENDRECV(EUgC(1,1,ivec_displ(isend)+1),1,
2853 & MPI_PRECOMP22(lensend),inext,8800+isend,
2854 & EUgC(1,1,ivec_displ(irecv)+1),1,MPI_PRECOMP22(lenrecv),
2855 & iprev,8800+irecv,FG_COMM,status,IERR)
2856 c write (iout,*) "Gather PRECOMP22"
2858 call MPI_SENDRECV(Ug2DtEUgder(1,1,1,ivec_displ(isend)+1),1,
2859 & MPI_PRECOMP23(lensend),inext,9900+isend,
2860 & Ug2DtEUgder(1,1,1,ivec_displ(irecv)+1),1,
2861 & MPI_PRECOMP23(lenrecv),
2862 & iprev,9900+irecv,FG_COMM,status,IERR)
2863 c write (iout,*) "Gather PRECOMP23"
2868 if (irecv.lt.0) irecv=nfgtasks1-1
2871 time_gather=time_gather+MPI_Wtime()-time00
2874 c if (fg_rank.eq.0) then
2875 write (iout,*) "Arrays UG and UGDER"
2877 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2878 & ((ug(l,k,i),l=1,2),k=1,2),
2879 & ((ugder(l,k,i),l=1,2),k=1,2)
2881 write (iout,*) "Arrays UG2 and UG2DER"
2883 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2884 & ((ug2(l,k,i),l=1,2),k=1,2),
2885 & ((ug2der(l,k,i),l=1,2),k=1,2)
2887 write (iout,*) "Arrays OBROT OBROT2 OBROTDER and OBROT2DER"
2889 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2890 & (obrot(k,i),k=1,2),(obrot2(k,i),k=1,2),
2891 & (obrot_der(k,i),k=1,2),(obrot2_der(k,i),k=1,2)
2893 write (iout,*) "Arrays COSTAB SINTAB COSTAB2 and SINTAB2"
2895 write (iout,'(i5,4f10.5,5x,4f10.5)') i,
2896 & costab(i),sintab(i),costab2(i),sintab2(i)
2898 write (iout,*) "Array MUDER"
2900 write (iout,'(i5,2f10.5)') i,muder(1,i),muder(2,i)
2906 cd iti = itortyp(itype(i))
2909 cd write (iout,'(2f10.5,5x,2f10.5,5x,2f10.5)')
2910 cd & (EE(j,k,iti),k=1,2),(Ug(j,k,i),k=1,2),(EUg(j,k,i),k=1,2)
2915 C--------------------------------------------------------------------------
2916 subroutine eelec(ees,evdw1,eel_loc,eello_turn3,eello_turn4)
2918 C This subroutine calculates the average interaction energy and its gradient
2919 C in the virtual-bond vectors between non-adjacent peptide groups, based on
2920 C the potential described in Liwo et al., Protein Sci., 1993, 2, 1715.
2921 C The potential depends both on the distance of peptide-group centers and on
2922 C the orientation of the CA-CA virtual bonds.
2924 implicit real*8 (a-h,o-z)
2928 include 'DIMENSIONS'
2929 include 'COMMON.CONTROL'
2930 include 'COMMON.SETUP'
2931 include 'COMMON.IOUNITS'
2932 include 'COMMON.GEO'
2933 include 'COMMON.VAR'
2934 include 'COMMON.LOCAL'
2935 include 'COMMON.CHAIN'
2936 include 'COMMON.DERIV'
2937 include 'COMMON.INTERACT'
2938 include 'COMMON.CONTACTS'
2939 include 'COMMON.TORSION'
2940 include 'COMMON.VECTORS'
2941 include 'COMMON.FFIELD'
2942 include 'COMMON.TIME1'
2943 dimension ggg(3),gggp(3),gggm(3),erij(3),dcosb(3),dcosg(3),
2944 & erder(3,3),uryg(3,3),urzg(3,3),vryg(3,3),vrzg(3,3)
2945 double precision acipa(2,2),agg(3,4),aggi(3,4),aggi1(3,4),
2946 & aggj(3,4),aggj1(3,4),a_temp(2,2),muij(4)
2947 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
2948 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
2950 c 4/26/02 - AL scaling factor for 1,4 repulsive VDW interactions
2952 double precision scal_el /1.0d0/
2954 double precision scal_el /0.5d0/
2957 C 13-go grudnia roku pamietnego...
2958 double precision unmat(3,3) /1.0d0,0.0d0,0.0d0,
2959 & 0.0d0,1.0d0,0.0d0,
2960 & 0.0d0,0.0d0,1.0d0/
2961 cd write(iout,*) 'In EELEC'
2963 cd write(iout,*) 'Type',i
2964 cd write(iout,*) 'B1',B1(:,i)
2965 cd write(iout,*) 'B2',B2(:,i)
2966 cd write(iout,*) 'CC',CC(:,:,i)
2967 cd write(iout,*) 'DD',DD(:,:,i)
2968 cd write(iout,*) 'EE',EE(:,:,i)
2970 cd call check_vecgrad
2972 if (icheckgrad.eq.1) then
2974 fac=1.0d0/dsqrt(scalar(dc(1,i),dc(1,i)))
2976 dc_norm(k,i)=dc(k,i)*fac
2978 c write (iout,*) 'i',i,' fac',fac
2981 if (wel_loc.gt.0.0d0 .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0
2982 & .or. wcorr6.gt.0.0d0 .or. wturn3.gt.0.0d0 .or.
2983 & wturn4.gt.0.0d0 .or. wturn6.gt.0.0d0) then
2984 c call vec_and_deriv
2990 time_mat=time_mat+MPI_Wtime()-time01
2994 cd write (iout,*) 'i=',i
2996 cd write (iout,'(i5,2f10.5)') k,uy(k,i),uz(k,i)
2999 cd write (iout,'(f10.5,2x,3f10.5,2x,3f10.5)')
3000 cd & uz(k,i),(uzgrad(k,l,1,i),l=1,3),(uzgrad(k,l,2,i),l=1,3)
3013 cd print '(a)','Enter EELEC'
3014 cd write (iout,*) 'iatel_s=',iatel_s,' iatel_e=',iatel_e
3016 gel_loc_loc(i)=0.0d0
3021 c 9/27/08 AL Split the interaction loop to ensure load balancing of turn terms
3023 C Loop over i,i+2 and i,i+3 pairs of the peptide groups
3025 do i=iturn3_start,iturn3_end
3026 C if (itype(i).eq.21 .or. itype(i+1).eq.21
3027 C & .or. itype(i+2).eq.21 .or. itype(i+3).eq.21.or.itype(i+4).eq.21)
3032 dx_normi=dc_norm(1,i)
3033 dy_normi=dc_norm(2,i)
3034 dz_normi=dc_norm(3,i)
3035 xmedi=c(1,i)+0.5d0*dxi
3036 ymedi=c(2,i)+0.5d0*dyi
3037 zmedi=c(3,i)+0.5d0*dzi
3039 call eelecij(i,i+2,ees,evdw1,eel_loc)
3040 if (wturn3.gt.0.0d0) call eturn3(i,eello_turn3)
3041 num_cont_hb(i)=num_conti
3043 do i=iturn4_start,iturn4_end
3044 C if (itype(i).eq.21 .or. itype(i+1).eq.21
3045 C & .or. itype(i+2).eq.21 .or. itype(i+3).eq.21.or.itype(i+4).eq.21
3046 C & .or. itype(i+5).eq.21)
3051 dx_normi=dc_norm(1,i)
3052 dy_normi=dc_norm(2,i)
3053 dz_normi=dc_norm(3,i)
3054 xmedi=c(1,i)+0.5d0*dxi
3055 ymedi=c(2,i)+0.5d0*dyi
3056 zmedi=c(3,i)+0.5d0*dzi
3057 num_conti=num_cont_hb(i)
3058 call eelecij(i,i+3,ees,evdw1,eel_loc)
3059 if (wturn4.gt.0.0d0) call eturn4(i,eello_turn4)
3060 num_cont_hb(i)=num_conti
3063 c Loop over all pairs of interacting peptide groups except i,i+2 and i,i+3
3065 do i=iatel_s,iatel_e
3066 C if (itype(i).eq.21 .or. itype(i+1).eq.21
3067 C &.or.itype(i+2)) cycle
3071 dx_normi=dc_norm(1,i)
3072 dy_normi=dc_norm(2,i)
3073 dz_normi=dc_norm(3,i)
3074 xmedi=c(1,i)+0.5d0*dxi
3075 ymedi=c(2,i)+0.5d0*dyi
3076 zmedi=c(3,i)+0.5d0*dzi
3077 c write (iout,*) 'i',i,' ielstart',ielstart(i),' ielend',ielend(i)
3078 num_conti=num_cont_hb(i)
3079 do j=ielstart(i),ielend(i)
3080 C if (itype(j).eq.21 .or. itype(j+1).eq.21
3081 C &.or.itype(j+2)) cycle
3082 call eelecij(i,j,ees,evdw1,eel_loc)
3084 num_cont_hb(i)=num_conti
3086 c write (iout,*) "Number of loop steps in EELEC:",ind
3088 cd write (iout,'(i3,3f10.5,5x,3f10.5)')
3089 cd & i,(gel_loc(k,i),k=1,3),gel_loc_loc(i)
3091 c 12/7/99 Adam eello_turn3 will be considered as a separate energy term
3092 ccc eel_loc=eel_loc+eello_turn3
3093 cd print *,"Processor",fg_rank," t_eelecij",t_eelecij
3096 C-------------------------------------------------------------------------------
3097 subroutine eelecij(i,j,ees,evdw1,eel_loc)
3098 implicit real*8 (a-h,o-z)
3099 include 'DIMENSIONS'
3103 include 'COMMON.CONTROL'
3104 include 'COMMON.IOUNITS'
3105 include 'COMMON.GEO'
3106 include 'COMMON.VAR'
3107 include 'COMMON.LOCAL'
3108 include 'COMMON.CHAIN'
3109 include 'COMMON.DERIV'
3110 include 'COMMON.INTERACT'
3111 include 'COMMON.CONTACTS'
3112 include 'COMMON.TORSION'
3113 include 'COMMON.VECTORS'
3114 include 'COMMON.FFIELD'
3115 include 'COMMON.TIME1'
3116 dimension ggg(3),gggp(3),gggm(3),erij(3),dcosb(3),dcosg(3),
3117 & erder(3,3),uryg(3,3),urzg(3,3),vryg(3,3),vrzg(3,3)
3118 double precision acipa(2,2),agg(3,4),aggi(3,4),aggi1(3,4),
3119 & aggj(3,4),aggj1(3,4),a_temp(2,2),muij(4)
3120 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3121 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3123 c 4/26/02 - AL scaling factor for 1,4 repulsive VDW interactions
3125 double precision scal_el /1.0d0/
3127 double precision scal_el /0.5d0/
3130 C 13-go grudnia roku pamietnego...
3131 double precision unmat(3,3) /1.0d0,0.0d0,0.0d0,
3132 & 0.0d0,1.0d0,0.0d0,
3133 & 0.0d0,0.0d0,1.0d0/
3134 c time00=MPI_Wtime()
3135 cd write (iout,*) "eelecij",i,j
3139 if (j.eq.i+2 .and. itelj.eq.2) iteli=2
3140 aaa=app(iteli,itelj)
3141 bbb=bpp(iteli,itelj)
3142 ael6i=ael6(iteli,itelj)
3143 ael3i=ael3(iteli,itelj)
3147 dx_normj=dc_norm(1,j)
3148 dy_normj=dc_norm(2,j)
3149 dz_normj=dc_norm(3,j)
3150 xj=c(1,j)+0.5D0*dxj-xmedi
3151 yj=c(2,j)+0.5D0*dyj-ymedi
3152 zj=c(3,j)+0.5D0*dzj-zmedi
3153 rij=xj*xj+yj*yj+zj*zj
3159 cosa=dx_normi*dx_normj+dy_normi*dy_normj+dz_normi*dz_normj
3160 cosb=(xj*dx_normi+yj*dy_normi+zj*dz_normi)*rmij
3161 cosg=(xj*dx_normj+yj*dy_normj+zj*dz_normj)*rmij
3162 fac=cosa-3.0D0*cosb*cosg
3164 c 4/26/02 - AL scaling down 1,4 repulsive VDW interactions
3165 if (j.eq.i+2) ev1=scal_el*ev1
3170 el1=fac3*(4.0D0+fac*fac-3.0D0*(cosb*cosb+cosg*cosg))
3173 C 12/26/95 - for the evaluation of multi-body H-bonding interactions
3174 ees0ij=4.0D0+fac*fac-3.0D0*(cosb*cosb+cosg*cosg)
3177 cd write(iout,'(2(2i3,2x),7(1pd12.4)/2(3(1pd12.4),5x)/)')
3178 cd & iteli,i,itelj,j,aaa,bbb,ael6i,ael3i,
3179 cd & 1.0D0/dsqrt(rrmij),evdwij,eesij,
3180 cd & xmedi,ymedi,zmedi,xj,yj,zj
3182 if (energy_dec) then
3183 write (iout,'(a6,2i5,0pf7.3)') 'evdw1',i,j,evdwij
3184 write (iout,'(a6,2i5,0pf7.3)') 'ees',i,j,eesij
3188 C Calculate contributions to the Cartesian gradient.
3191 facvdw=-6*rrmij*(ev1+evdwij)
3192 facel=-3*rrmij*(el1+eesij)
3198 * Radial derivatives. First process both termini of the fragment (i,j)
3204 c ghalf=0.5D0*ggg(k)
3205 c gelc(k,i)=gelc(k,i)+ghalf
3206 c gelc(k,j)=gelc(k,j)+ghalf
3208 c 9/28/08 AL Gradient compotents will be summed only at the end
3210 gelc_long(k,j)=gelc_long(k,j)+ggg(k)
3211 gelc_long(k,i)=gelc_long(k,i)-ggg(k)
3214 * Loop over residues i+1 thru j-1.
3218 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
3225 c ghalf=0.5D0*ggg(k)
3226 c gvdwpp(k,i)=gvdwpp(k,i)+ghalf
3227 c gvdwpp(k,j)=gvdwpp(k,j)+ghalf
3229 c 9/28/08 AL Gradient compotents will be summed only at the end
3231 gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
3232 gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
3235 * Loop over residues i+1 thru j-1.
3239 cgrad gvdwpp(l,k)=gvdwpp(l,k)+ggg(l)
3246 fac=-3*rrmij*(facvdw+facvdw+facel)
3251 * Radial derivatives. First process both termini of the fragment (i,j)
3257 c ghalf=0.5D0*ggg(k)
3258 c gelc(k,i)=gelc(k,i)+ghalf
3259 c gelc(k,j)=gelc(k,j)+ghalf
3261 c 9/28/08 AL Gradient compotents will be summed only at the end
3263 gelc_long(k,j)=gelc(k,j)+ggg(k)
3264 gelc_long(k,i)=gelc(k,i)-ggg(k)
3267 * Loop over residues i+1 thru j-1.
3271 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
3274 c 9/28/08 AL Gradient compotents will be summed only at the end
3279 gvdwpp(k,j)=gvdwpp(k,j)+ggg(k)
3280 gvdwpp(k,i)=gvdwpp(k,i)-ggg(k)
3286 ecosa=2.0D0*fac3*fac1+fac4
3289 ecosb=(fac3*(fac1*cosg+cosb)+cosg*fac4)
3290 ecosg=(fac3*(fac1*cosb+cosg)+cosb*fac4)
3292 dcosb(k)=rmij*(dc_norm(k,i)-erij(k)*cosb)
3293 dcosg(k)=rmij*(dc_norm(k,j)-erij(k)*cosg)
3295 cd print '(2i3,2(3(1pd14.5),3x))',i,j,(dcosb(k),k=1,3),
3296 cd & (dcosg(k),k=1,3)
3298 ggg(k)=ecosb*dcosb(k)+ecosg*dcosg(k)
3301 c ghalf=0.5D0*ggg(k)
3302 c gelc(k,i)=gelc(k,i)+ghalf
3303 c & +(ecosa*(dc_norm(k,j)-cosa*dc_norm(k,i))
3304 c & + ecosb*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3305 c gelc(k,j)=gelc(k,j)+ghalf
3306 c & +(ecosa*(dc_norm(k,i)-cosa*dc_norm(k,j))
3307 c & + ecosg*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3311 cgrad gelc(l,k)=gelc(l,k)+ggg(l)
3316 & +(ecosa*(dc_norm(k,j)-cosa*dc_norm(k,i))
3317 & + ecosb*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3319 & +(ecosa*(dc_norm(k,i)-cosa*dc_norm(k,j))
3320 & + ecosg*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3321 gelc_long(k,j)=gelc_long(k,j)+ggg(k)
3322 gelc_long(k,i)=gelc_long(k,i)-ggg(k)
3324 IF (wel_loc.gt.0.0d0 .or. wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0
3325 & .or. wcorr6.gt.0.0d0 .or. wturn3.gt.0.0d0
3326 & .or. wturn4.gt.0.0d0 .or. wturn6.gt.0.0d0) THEN
3328 C 9/25/99 Mixed third-order local-electrostatic terms. The local-interaction
3329 C energy of a peptide unit is assumed in the form of a second-order
3330 C Fourier series in the angles lambda1 and lambda2 (see Nishikawa et al.
3331 C Macromolecules, 1974, 7, 797-806 for definition). This correlation terms
3332 C are computed for EVERY pair of non-contiguous peptide groups.
3334 if (j.lt.nres-1) then
3345 muij(kkk)=mu(k,i)*mu(l,j)
3348 cd write (iout,*) 'EELEC: i',i,' j',j
3349 cd write (iout,*) 'j',j,' j1',j1,' j2',j2
3350 cd write(iout,*) 'muij',muij
3351 ury=scalar(uy(1,i),erij)
3352 urz=scalar(uz(1,i),erij)
3353 vry=scalar(uy(1,j),erij)
3354 vrz=scalar(uz(1,j),erij)
3355 a22=scalar(uy(1,i),uy(1,j))-3*ury*vry
3356 a23=scalar(uy(1,i),uz(1,j))-3*ury*vrz
3357 a32=scalar(uz(1,i),uy(1,j))-3*urz*vry
3358 a33=scalar(uz(1,i),uz(1,j))-3*urz*vrz
3359 fac=dsqrt(-ael6i)*r3ij
3364 cd write (iout,'(4i5,4f10.5)')
3365 cd & i,itortyp(itype(i)),j,itortyp(itype(j)),a22,a23,a32,a33
3366 cd write (iout,'(6f10.5)') (muij(k),k=1,4),fac,eel_loc_ij
3367 cd write (iout,'(2(3f10.5,5x)/2(3f10.5,5x))') uy(:,i),uz(:,i),
3368 cd & uy(:,j),uz(:,j)
3369 cd write (iout,'(4f10.5)')
3370 cd & scalar(uy(1,i),uy(1,j)),scalar(uy(1,i),uz(1,j)),
3371 cd & scalar(uz(1,i),uy(1,j)),scalar(uz(1,i),uz(1,j))
3372 cd write (iout,'(4f10.5)') ury,urz,vry,vrz
3373 cd write (iout,'(9f10.5/)')
3374 cd & fac22,a22,fac23,a23,fac32,a32,fac33,a33,eel_loc_ij
3375 C Derivatives of the elements of A in virtual-bond vectors
3376 call unormderiv(erij(1),unmat(1,1),rmij,erder(1,1))
3378 uryg(k,1)=scalar(erder(1,k),uy(1,i))
3379 uryg(k,2)=scalar(uygrad(1,k,1,i),erij(1))
3380 uryg(k,3)=scalar(uygrad(1,k,2,i),erij(1))
3381 urzg(k,1)=scalar(erder(1,k),uz(1,i))
3382 urzg(k,2)=scalar(uzgrad(1,k,1,i),erij(1))
3383 urzg(k,3)=scalar(uzgrad(1,k,2,i),erij(1))
3384 vryg(k,1)=scalar(erder(1,k),uy(1,j))
3385 vryg(k,2)=scalar(uygrad(1,k,1,j),erij(1))
3386 vryg(k,3)=scalar(uygrad(1,k,2,j),erij(1))
3387 vrzg(k,1)=scalar(erder(1,k),uz(1,j))
3388 vrzg(k,2)=scalar(uzgrad(1,k,1,j),erij(1))
3389 vrzg(k,3)=scalar(uzgrad(1,k,2,j),erij(1))
3391 C Compute radial contributions to the gradient
3409 C Add the contributions coming from er
3412 agg(k,1)=agg(k,1)+fac3*(uryg(k,1)*vry+vryg(k,1)*ury)
3413 agg(k,2)=agg(k,2)+fac3*(uryg(k,1)*vrz+vrzg(k,1)*ury)
3414 agg(k,3)=agg(k,3)+fac3*(urzg(k,1)*vry+vryg(k,1)*urz)
3415 agg(k,4)=agg(k,4)+fac3*(urzg(k,1)*vrz+vrzg(k,1)*urz)
3418 C Derivatives in DC(i)
3419 cgrad ghalf1=0.5d0*agg(k,1)
3420 cgrad ghalf2=0.5d0*agg(k,2)
3421 cgrad ghalf3=0.5d0*agg(k,3)
3422 cgrad ghalf4=0.5d0*agg(k,4)
3423 aggi(k,1)=fac*(scalar(uygrad(1,k,1,i),uy(1,j))
3424 & -3.0d0*uryg(k,2)*vry)!+ghalf1
3425 aggi(k,2)=fac*(scalar(uygrad(1,k,1,i),uz(1,j))
3426 & -3.0d0*uryg(k,2)*vrz)!+ghalf2
3427 aggi(k,3)=fac*(scalar(uzgrad(1,k,1,i),uy(1,j))
3428 & -3.0d0*urzg(k,2)*vry)!+ghalf3
3429 aggi(k,4)=fac*(scalar(uzgrad(1,k,1,i),uz(1,j))
3430 & -3.0d0*urzg(k,2)*vrz)!+ghalf4
3431 C Derivatives in DC(i+1)
3432 aggi1(k,1)=fac*(scalar(uygrad(1,k,2,i),uy(1,j))
3433 & -3.0d0*uryg(k,3)*vry)!+agg(k,1)
3434 aggi1(k,2)=fac*(scalar(uygrad(1,k,2,i),uz(1,j))
3435 & -3.0d0*uryg(k,3)*vrz)!+agg(k,2)
3436 aggi1(k,3)=fac*(scalar(uzgrad(1,k,2,i),uy(1,j))
3437 & -3.0d0*urzg(k,3)*vry)!+agg(k,3)
3438 aggi1(k,4)=fac*(scalar(uzgrad(1,k,2,i),uz(1,j))
3439 & -3.0d0*urzg(k,3)*vrz)!+agg(k,4)
3440 C Derivatives in DC(j)
3441 aggj(k,1)=fac*(scalar(uygrad(1,k,1,j),uy(1,i))
3442 & -3.0d0*vryg(k,2)*ury)!+ghalf1
3443 aggj(k,2)=fac*(scalar(uzgrad(1,k,1,j),uy(1,i))
3444 & -3.0d0*vrzg(k,2)*ury)!+ghalf2
3445 aggj(k,3)=fac*(scalar(uygrad(1,k,1,j),uz(1,i))
3446 & -3.0d0*vryg(k,2)*urz)!+ghalf3
3447 aggj(k,4)=fac*(scalar(uzgrad(1,k,1,j),uz(1,i))
3448 & -3.0d0*vrzg(k,2)*urz)!+ghalf4
3449 C Derivatives in DC(j+1) or DC(nres-1)
3450 aggj1(k,1)=fac*(scalar(uygrad(1,k,2,j),uy(1,i))
3451 & -3.0d0*vryg(k,3)*ury)
3452 aggj1(k,2)=fac*(scalar(uzgrad(1,k,2,j),uy(1,i))
3453 & -3.0d0*vrzg(k,3)*ury)
3454 aggj1(k,3)=fac*(scalar(uygrad(1,k,2,j),uz(1,i))
3455 & -3.0d0*vryg(k,3)*urz)
3456 aggj1(k,4)=fac*(scalar(uzgrad(1,k,2,j),uz(1,i))
3457 & -3.0d0*vrzg(k,3)*urz)
3458 cgrad if (j.eq.nres-1 .and. i.lt.j-2) then
3460 cgrad aggj1(k,l)=aggj1(k,l)+agg(k,l)
3473 aggi(k,l)=-aggi(k,l)
3474 aggi1(k,l)=-aggi1(k,l)
3475 aggj(k,l)=-aggj(k,l)
3476 aggj1(k,l)=-aggj1(k,l)
3479 if (j.lt.nres-1) then
3485 aggi(k,l)=-aggi(k,l)
3486 aggi1(k,l)=-aggi1(k,l)
3487 aggj(k,l)=-aggj(k,l)
3488 aggj1(k,l)=-aggj1(k,l)
3499 aggi(k,l)=-aggi(k,l)
3500 aggi1(k,l)=-aggi1(k,l)
3501 aggj(k,l)=-aggj(k,l)
3502 aggj1(k,l)=-aggj1(k,l)
3507 IF (wel_loc.gt.0.0d0) THEN
3508 C Contribution to the local-electrostatic energy coming from the i-j pair
3509 eel_loc_ij=a22*muij(1)+a23*muij(2)+a32*muij(3)
3511 cd write (iout,*) 'i',i,' j',j,' eel_loc_ij',eel_loc_ij
3513 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3514 & 'eelloc',i,j,eel_loc_ij
3516 eel_loc=eel_loc+eel_loc_ij
3517 C Partial derivatives in virtual-bond dihedral angles gamma
3519 & gel_loc_loc(i-1)=gel_loc_loc(i-1)+
3520 & a22*muder(1,i)*mu(1,j)+a23*muder(1,i)*mu(2,j)
3521 & +a32*muder(2,i)*mu(1,j)+a33*muder(2,i)*mu(2,j)
3522 gel_loc_loc(j-1)=gel_loc_loc(j-1)+
3523 & a22*mu(1,i)*muder(1,j)+a23*mu(1,i)*muder(2,j)
3524 & +a32*mu(2,i)*muder(1,j)+a33*mu(2,i)*muder(2,j)
3525 C Derivatives of eello in DC(i+1) thru DC(j-1) or DC(nres-2)
3527 ggg(l)=agg(l,1)*muij(1)+
3528 & agg(l,2)*muij(2)+agg(l,3)*muij(3)+agg(l,4)*muij(4)
3529 gel_loc_long(l,j)=gel_loc_long(l,j)+ggg(l)
3530 gel_loc_long(l,i)=gel_loc_long(l,i)-ggg(l)
3531 cgrad ghalf=0.5d0*ggg(l)
3532 cgrad gel_loc(l,i)=gel_loc(l,i)+ghalf
3533 cgrad gel_loc(l,j)=gel_loc(l,j)+ghalf
3537 cgrad gel_loc(l,k)=gel_loc(l,k)+ggg(l)
3540 C Remaining derivatives of eello
3542 gel_loc(l,i)=gel_loc(l,i)+aggi(l,1)*muij(1)+
3543 & aggi(l,2)*muij(2)+aggi(l,3)*muij(3)+aggi(l,4)*muij(4)
3544 gel_loc(l,i+1)=gel_loc(l,i+1)+aggi1(l,1)*muij(1)+
3545 & aggi1(l,2)*muij(2)+aggi1(l,3)*muij(3)+aggi1(l,4)*muij(4)
3546 gel_loc(l,j)=gel_loc(l,j)+aggj(l,1)*muij(1)+
3547 & aggj(l,2)*muij(2)+aggj(l,3)*muij(3)+aggj(l,4)*muij(4)
3548 gel_loc(l,j1)=gel_loc(l,j1)+aggj1(l,1)*muij(1)+
3549 & aggj1(l,2)*muij(2)+aggj1(l,3)*muij(3)+aggj1(l,4)*muij(4)
3552 C Change 12/26/95 to calculate four-body contributions to H-bonding energy
3553 c if (j.gt.i+1 .and. num_conti.le.maxconts) then
3554 if (wcorr+wcorr4+wcorr5+wcorr6.gt.0.0d0
3555 & .and. num_conti.le.maxconts) then
3556 c write (iout,*) i,j," entered corr"
3558 C Calculate the contact function. The ith column of the array JCONT will
3559 C contain the numbers of atoms that make contacts with the atom I (of numbers
3560 C greater than I). The arrays FACONT and GACONT will contain the values of
3561 C the contact function and its derivative.
3562 c r0ij=1.02D0*rpp(iteli,itelj)
3563 c r0ij=1.11D0*rpp(iteli,itelj)
3564 r0ij=2.20D0*rpp(iteli,itelj)
3565 c r0ij=1.55D0*rpp(iteli,itelj)
3566 call gcont(rij,r0ij,1.0D0,0.2d0*r0ij,fcont,fprimcont)
3567 if (fcont.gt.0.0D0) then
3568 num_conti=num_conti+1
3569 if (num_conti.gt.maxconts) then
3570 write (iout,*) 'WARNING - max. # of contacts exceeded;',
3571 & ' will skip next contacts for this conf.'
3573 jcont_hb(num_conti,i)=j
3574 cd write (iout,*) "i",i," j",j," num_conti",num_conti,
3575 cd & " jcont_hb",jcont_hb(num_conti,i)
3576 IF (wcorr4.gt.0.0d0 .or. wcorr5.gt.0.0d0 .or.
3577 & wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0) THEN
3578 C 9/30/99 (AL) - store components necessary to evaluate higher-order loc-el
3580 d_cont(num_conti,i)=rij
3581 cd write (2,'(3e15.5)') rij,r0ij+0.2d0*r0ij,rij
3582 C --- Electrostatic-interaction matrix ---
3583 a_chuj(1,1,num_conti,i)=a22
3584 a_chuj(1,2,num_conti,i)=a23
3585 a_chuj(2,1,num_conti,i)=a32
3586 a_chuj(2,2,num_conti,i)=a33
3587 C --- Gradient of rij
3589 grij_hb_cont(kkk,num_conti,i)=erij(kkk)
3596 a_chuj_der(k,l,m,1,num_conti,i)=agg(m,kkll)
3597 a_chuj_der(k,l,m,2,num_conti,i)=aggi(m,kkll)
3598 a_chuj_der(k,l,m,3,num_conti,i)=aggi1(m,kkll)
3599 a_chuj_der(k,l,m,4,num_conti,i)=aggj(m,kkll)
3600 a_chuj_der(k,l,m,5,num_conti,i)=aggj1(m,kkll)
3605 IF (wcorr4.eq.0.0d0 .and. wcorr.gt.0.0d0) THEN
3606 C Calculate contact energies
3608 wij=cosa-3.0D0*cosb*cosg
3611 c fac3=dsqrt(-ael6i)/r0ij**3
3612 fac3=dsqrt(-ael6i)*r3ij
3613 c ees0pij=dsqrt(4.0D0+cosa4+wij*wij-3.0D0*cosbg1*cosbg1)
3614 ees0tmp=4.0D0+cosa4+wij*wij-3.0D0*cosbg1*cosbg1
3615 if (ees0tmp.gt.0) then
3616 ees0pij=dsqrt(ees0tmp)
3620 c ees0mij=dsqrt(4.0D0-cosa4+wij*wij-3.0D0*cosbg2*cosbg2)
3621 ees0tmp=4.0D0-cosa4+wij*wij-3.0D0*cosbg2*cosbg2
3622 if (ees0tmp.gt.0) then
3623 ees0mij=dsqrt(ees0tmp)
3628 ees0p(num_conti,i)=0.5D0*fac3*(ees0pij+ees0mij)
3629 ees0m(num_conti,i)=0.5D0*fac3*(ees0pij-ees0mij)
3630 C Diagnostics. Comment out or remove after debugging!
3631 c ees0p(num_conti,i)=0.5D0*fac3*ees0pij
3632 c ees0m(num_conti,i)=0.5D0*fac3*ees0mij
3633 c ees0m(num_conti,i)=0.0D0
3635 c write (iout,*) 'i=',i,' j=',j,' rij=',rij,' r0ij=',r0ij,
3636 c & ' ees0ij=',ees0p(num_conti,i),ees0m(num_conti,i),' fcont=',fcont
3637 C Angular derivatives of the contact function
3638 ees0pij1=fac3/ees0pij
3639 ees0mij1=fac3/ees0mij
3640 fac3p=-3.0D0*fac3*rrmij
3641 ees0pijp=0.5D0*fac3p*(ees0pij+ees0mij)
3642 ees0mijp=0.5D0*fac3p*(ees0pij-ees0mij)
3644 ecosa1= ees0pij1*( 1.0D0+0.5D0*wij)
3645 ecosb1=-1.5D0*ees0pij1*(wij*cosg+cosbg1)
3646 ecosg1=-1.5D0*ees0pij1*(wij*cosb+cosbg1)
3647 ecosa2= ees0mij1*(-1.0D0+0.5D0*wij)
3648 ecosb2=-1.5D0*ees0mij1*(wij*cosg+cosbg2)
3649 ecosg2=-1.5D0*ees0mij1*(wij*cosb-cosbg2)
3650 ecosap=ecosa1+ecosa2
3651 ecosbp=ecosb1+ecosb2
3652 ecosgp=ecosg1+ecosg2
3653 ecosam=ecosa1-ecosa2
3654 ecosbm=ecosb1-ecosb2
3655 ecosgm=ecosg1-ecosg2
3664 facont_hb(num_conti,i)=fcont
3665 fprimcont=fprimcont/rij
3666 cd facont_hb(num_conti,i)=1.0D0
3667 C Following line is for diagnostics.
3670 dcosb(k)=rmij*(dc_norm(k,i)-erij(k)*cosb)
3671 dcosg(k)=rmij*(dc_norm(k,j)-erij(k)*cosg)
3674 gggp(k)=ecosbp*dcosb(k)+ecosgp*dcosg(k)
3675 gggm(k)=ecosbm*dcosb(k)+ecosgm*dcosg(k)
3677 gggp(1)=gggp(1)+ees0pijp*xj
3678 gggp(2)=gggp(2)+ees0pijp*yj
3679 gggp(3)=gggp(3)+ees0pijp*zj
3680 gggm(1)=gggm(1)+ees0mijp*xj
3681 gggm(2)=gggm(2)+ees0mijp*yj
3682 gggm(3)=gggm(3)+ees0mijp*zj
3683 C Derivatives due to the contact function
3684 gacont_hbr(1,num_conti,i)=fprimcont*xj
3685 gacont_hbr(2,num_conti,i)=fprimcont*yj
3686 gacont_hbr(3,num_conti,i)=fprimcont*zj
3689 c 10/24/08 cgrad and ! comments indicate the parts of the code removed
3690 c following the change of gradient-summation algorithm.
3692 cgrad ghalfp=0.5D0*gggp(k)
3693 cgrad ghalfm=0.5D0*gggm(k)
3694 gacontp_hb1(k,num_conti,i)=!ghalfp
3695 & +(ecosap*(dc_norm(k,j)-cosa*dc_norm(k,i))
3696 & + ecosbp*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3697 gacontp_hb2(k,num_conti,i)=!ghalfp
3698 & +(ecosap*(dc_norm(k,i)-cosa*dc_norm(k,j))
3699 & + ecosgp*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3700 gacontp_hb3(k,num_conti,i)=gggp(k)
3701 gacontm_hb1(k,num_conti,i)=!ghalfm
3702 & +(ecosam*(dc_norm(k,j)-cosa*dc_norm(k,i))
3703 & + ecosbm*(erij(k)-cosb*dc_norm(k,i)))*vbld_inv(i+1)
3704 gacontm_hb2(k,num_conti,i)=!ghalfm
3705 & +(ecosam*(dc_norm(k,i)-cosa*dc_norm(k,j))
3706 & + ecosgm*(erij(k)-cosg*dc_norm(k,j)))*vbld_inv(j+1)
3707 gacontm_hb3(k,num_conti,i)=gggm(k)
3709 C Diagnostics. Comment out or remove after debugging!
3711 cdiag gacontp_hb1(k,num_conti,i)=0.0D0
3712 cdiag gacontp_hb2(k,num_conti,i)=0.0D0
3713 cdiag gacontp_hb3(k,num_conti,i)=0.0D0
3714 cdiag gacontm_hb1(k,num_conti,i)=0.0D0
3715 cdiag gacontm_hb2(k,num_conti,i)=0.0D0
3716 cdiag gacontm_hb3(k,num_conti,i)=0.0D0
3719 endif ! num_conti.le.maxconts
3722 if (wturn3.gt.0.0d0 .or. wturn4.gt.0.0d0) then
3725 ghalf=0.5d0*agg(l,k)
3726 aggi(l,k)=aggi(l,k)+ghalf
3727 aggi1(l,k)=aggi1(l,k)+agg(l,k)
3728 aggj(l,k)=aggj(l,k)+ghalf
3731 if (j.eq.nres-1 .and. i.lt.j-2) then
3734 aggj1(l,k)=aggj1(l,k)+agg(l,k)
3739 c t_eelecij=t_eelecij+MPI_Wtime()-time00
3742 C-----------------------------------------------------------------------------
3743 subroutine eturn3(i,eello_turn3)
3744 C Third- and fourth-order contributions from turns
3745 implicit real*8 (a-h,o-z)
3746 include 'DIMENSIONS'
3747 include 'COMMON.IOUNITS'
3748 include 'COMMON.GEO'
3749 include 'COMMON.VAR'
3750 include 'COMMON.LOCAL'
3751 include 'COMMON.CHAIN'
3752 include 'COMMON.DERIV'
3753 include 'COMMON.INTERACT'
3754 include 'COMMON.CONTACTS'
3755 include 'COMMON.TORSION'
3756 include 'COMMON.VECTORS'
3757 include 'COMMON.FFIELD'
3758 include 'COMMON.CONTROL'
3760 double precision auxmat(2,2),auxmat1(2,2),auxmat2(2,2),pizda(2,2),
3761 & e1t(2,2),e2t(2,2),e3t(2,2),e1tder(2,2),e2tder(2,2),e3tder(2,2),
3762 & e1a(2,2),ae3(2,2),ae3e2(2,2),auxvec(2),auxvec1(2)
3763 double precision agg(3,4),aggi(3,4),aggi1(3,4),
3764 & aggj(3,4),aggj1(3,4),a_temp(2,2),auxmat3(2,2)
3765 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3766 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3769 c write (iout,*) "eturn3",i,j,j1,j2
3774 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3776 C Third-order contributions
3783 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3784 cd call checkint_turn3(i,a_temp,eello_turn3_num)
3785 call matmat2(EUg(1,1,i+1),EUg(1,1,i+2),auxmat(1,1))
3786 call transpose2(auxmat(1,1),auxmat1(1,1))
3787 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3788 eello_turn3=eello_turn3+0.5d0*(pizda(1,1)+pizda(2,2))
3789 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3790 & 'eturn3',i,j,0.5d0*(pizda(1,1)+pizda(2,2))
3791 cd write (2,*) 'i,',i,' j',j,'eello_turn3',
3792 cd & 0.5d0*(pizda(1,1)+pizda(2,2)),
3793 cd & ' eello_turn3_num',4*eello_turn3_num
3794 C Derivatives in gamma(i)
3795 call matmat2(EUgder(1,1,i+1),EUg(1,1,i+2),auxmat2(1,1))
3796 call transpose2(auxmat2(1,1),auxmat3(1,1))
3797 call matmat2(a_temp(1,1),auxmat3(1,1),pizda(1,1))
3798 gel_loc_turn3(i)=gel_loc_turn3(i)+0.5d0*(pizda(1,1)+pizda(2,2))
3799 C Derivatives in gamma(i+1)
3800 call matmat2(EUg(1,1,i+1),EUgder(1,1,i+2),auxmat2(1,1))
3801 call transpose2(auxmat2(1,1),auxmat3(1,1))
3802 call matmat2(a_temp(1,1),auxmat3(1,1),pizda(1,1))
3803 gel_loc_turn3(i+1)=gel_loc_turn3(i+1)
3804 & +0.5d0*(pizda(1,1)+pizda(2,2))
3805 C Cartesian derivatives
3807 c ghalf1=0.5d0*agg(l,1)
3808 c ghalf2=0.5d0*agg(l,2)
3809 c ghalf3=0.5d0*agg(l,3)
3810 c ghalf4=0.5d0*agg(l,4)
3811 a_temp(1,1)=aggi(l,1)!+ghalf1
3812 a_temp(1,2)=aggi(l,2)!+ghalf2
3813 a_temp(2,1)=aggi(l,3)!+ghalf3
3814 a_temp(2,2)=aggi(l,4)!+ghalf4
3815 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3816 gcorr3_turn(l,i)=gcorr3_turn(l,i)
3817 & +0.5d0*(pizda(1,1)+pizda(2,2))
3818 a_temp(1,1)=aggi1(l,1)!+agg(l,1)
3819 a_temp(1,2)=aggi1(l,2)!+agg(l,2)
3820 a_temp(2,1)=aggi1(l,3)!+agg(l,3)
3821 a_temp(2,2)=aggi1(l,4)!+agg(l,4)
3822 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3823 gcorr3_turn(l,i+1)=gcorr3_turn(l,i+1)
3824 & +0.5d0*(pizda(1,1)+pizda(2,2))
3825 a_temp(1,1)=aggj(l,1)!+ghalf1
3826 a_temp(1,2)=aggj(l,2)!+ghalf2
3827 a_temp(2,1)=aggj(l,3)!+ghalf3
3828 a_temp(2,2)=aggj(l,4)!+ghalf4
3829 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3830 gcorr3_turn(l,j)=gcorr3_turn(l,j)
3831 & +0.5d0*(pizda(1,1)+pizda(2,2))
3832 a_temp(1,1)=aggj1(l,1)
3833 a_temp(1,2)=aggj1(l,2)
3834 a_temp(2,1)=aggj1(l,3)
3835 a_temp(2,2)=aggj1(l,4)
3836 call matmat2(a_temp(1,1),auxmat1(1,1),pizda(1,1))
3837 gcorr3_turn(l,j1)=gcorr3_turn(l,j1)
3838 & +0.5d0*(pizda(1,1)+pizda(2,2))
3842 C-------------------------------------------------------------------------------
3843 subroutine eturn4(i,eello_turn4)
3844 C Third- and fourth-order contributions from turns
3845 implicit real*8 (a-h,o-z)
3846 include 'DIMENSIONS'
3847 include 'COMMON.IOUNITS'
3848 include 'COMMON.GEO'
3849 include 'COMMON.VAR'
3850 include 'COMMON.LOCAL'
3851 include 'COMMON.CHAIN'
3852 include 'COMMON.DERIV'
3853 include 'COMMON.INTERACT'
3854 include 'COMMON.CONTACTS'
3855 include 'COMMON.TORSION'
3856 include 'COMMON.VECTORS'
3857 include 'COMMON.FFIELD'
3858 include 'COMMON.CONTROL'
3860 double precision auxmat(2,2),auxmat1(2,2),auxmat2(2,2),pizda(2,2),
3861 & e1t(2,2),e2t(2,2),e3t(2,2),e1tder(2,2),e2tder(2,2),e3tder(2,2),
3862 & e1a(2,2),ae3(2,2),ae3e2(2,2),auxvec(2),auxvec1(2)
3863 double precision agg(3,4),aggi(3,4),aggi1(3,4),
3864 & aggj(3,4),aggj1(3,4),a_temp(2,2),auxmat3(2,2)
3865 common /locel/ a_temp,agg,aggi,aggi1,aggj,aggj1,a22,a23,a32,a33,
3866 & dxi,dyi,dzi,dx_normi,dy_normi,dz_normi,xmedi,ymedi,zmedi,
3869 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3871 C Fourth-order contributions
3879 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
3880 cd call checkint_turn4(i,a_temp,eello_turn4_num)
3881 c write (iout,*) "eturn4 i",i," j",j," j1",j1," j2",j2
3886 iti1=itortyp(itype(i+1))
3887 iti2=itortyp(itype(i+2))
3888 iti3=itortyp(itype(i+3))
3889 c write(iout,*) "iti1",iti1," iti2",iti2," iti3",iti3
3890 call transpose2(EUg(1,1,i+1),e1t(1,1))
3891 call transpose2(Eug(1,1,i+2),e2t(1,1))
3892 call transpose2(Eug(1,1,i+3),e3t(1,1))
3893 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3894 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3895 s1=scalar2(b1(1,iti2),auxvec(1))
3896 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3897 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3898 s2=scalar2(b1(1,iti1),auxvec(1))
3899 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3900 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3901 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3902 eello_turn4=eello_turn4-(s1+s2+s3)
3903 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
3904 & 'eturn4',i,j,-(s1+s2+s3)
3905 cd write (2,*) 'i,',i,' j',j,'eello_turn4',-(s1+s2+s3),
3906 cd & ' eello_turn4_num',8*eello_turn4_num
3907 C Derivatives in gamma(i)
3908 call transpose2(EUgder(1,1,i+1),e1tder(1,1))
3909 call matmat2(e1tder(1,1),a_temp(1,1),auxmat(1,1))
3910 call matvec2(auxmat(1,1),Ub2(1,i+3),auxvec(1))
3911 s1=scalar2(b1(1,iti2),auxvec(1))
3912 call matmat2(ae3e2(1,1),e1tder(1,1),pizda(1,1))
3913 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3914 gel_loc_turn4(i)=gel_loc_turn4(i)-(s1+s3)
3915 C Derivatives in gamma(i+1)
3916 call transpose2(EUgder(1,1,i+2),e2tder(1,1))
3917 call matvec2(ae3(1,1),Ub2der(1,i+2),auxvec(1))
3918 s2=scalar2(b1(1,iti1),auxvec(1))
3919 call matmat2(ae3(1,1),e2tder(1,1),auxmat(1,1))
3920 call matmat2(auxmat(1,1),e1t(1,1),pizda(1,1))
3921 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3922 gel_loc_turn4(i+1)=gel_loc_turn4(i+1)-(s2+s3)
3923 C Derivatives in gamma(i+2)
3924 call transpose2(EUgder(1,1,i+3),e3tder(1,1))
3925 call matvec2(e1a(1,1),Ub2der(1,i+3),auxvec(1))
3926 s1=scalar2(b1(1,iti2),auxvec(1))
3927 call matmat2(a_temp(1,1),e3tder(1,1),auxmat(1,1))
3928 call matvec2(auxmat(1,1),Ub2(1,i+2),auxvec(1))
3929 s2=scalar2(b1(1,iti1),auxvec(1))
3930 call matmat2(auxmat(1,1),e2t(1,1),auxmat3(1,1))
3931 call matmat2(auxmat3(1,1),e1t(1,1),pizda(1,1))
3932 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3933 gel_loc_turn4(i+2)=gel_loc_turn4(i+2)-(s1+s2+s3)
3934 C Cartesian derivatives
3935 C Derivatives of this turn contributions in DC(i+2)
3936 if (j.lt.nres-1) then
3938 a_temp(1,1)=agg(l,1)
3939 a_temp(1,2)=agg(l,2)
3940 a_temp(2,1)=agg(l,3)
3941 a_temp(2,2)=agg(l,4)
3942 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3943 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3944 s1=scalar2(b1(1,iti2),auxvec(1))
3945 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3946 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3947 s2=scalar2(b1(1,iti1),auxvec(1))
3948 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3949 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3950 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3952 gcorr4_turn(l,i+2)=gcorr4_turn(l,i+2)-(s1+s2+s3)
3955 C Remaining derivatives of this turn contribution
3957 a_temp(1,1)=aggi(l,1)
3958 a_temp(1,2)=aggi(l,2)
3959 a_temp(2,1)=aggi(l,3)
3960 a_temp(2,2)=aggi(l,4)
3961 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3962 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3963 s1=scalar2(b1(1,iti2),auxvec(1))
3964 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3965 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3966 s2=scalar2(b1(1,iti1),auxvec(1))
3967 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3968 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3969 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3970 gcorr4_turn(l,i)=gcorr4_turn(l,i)-(s1+s2+s3)
3971 a_temp(1,1)=aggi1(l,1)
3972 a_temp(1,2)=aggi1(l,2)
3973 a_temp(2,1)=aggi1(l,3)
3974 a_temp(2,2)=aggi1(l,4)
3975 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3976 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3977 s1=scalar2(b1(1,iti2),auxvec(1))
3978 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3979 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3980 s2=scalar2(b1(1,iti1),auxvec(1))
3981 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3982 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3983 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3984 gcorr4_turn(l,i+1)=gcorr4_turn(l,i+1)-(s1+s2+s3)
3985 a_temp(1,1)=aggj(l,1)
3986 a_temp(1,2)=aggj(l,2)
3987 a_temp(2,1)=aggj(l,3)
3988 a_temp(2,2)=aggj(l,4)
3989 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
3990 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
3991 s1=scalar2(b1(1,iti2),auxvec(1))
3992 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
3993 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
3994 s2=scalar2(b1(1,iti1),auxvec(1))
3995 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
3996 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
3997 s3=0.5d0*(pizda(1,1)+pizda(2,2))
3998 gcorr4_turn(l,j)=gcorr4_turn(l,j)-(s1+s2+s3)
3999 a_temp(1,1)=aggj1(l,1)
4000 a_temp(1,2)=aggj1(l,2)
4001 a_temp(2,1)=aggj1(l,3)
4002 a_temp(2,2)=aggj1(l,4)
4003 call matmat2(e1t(1,1),a_temp(1,1),e1a(1,1))
4004 call matvec2(e1a(1,1),Ub2(1,i+3),auxvec(1))
4005 s1=scalar2(b1(1,iti2),auxvec(1))
4006 call matmat2(a_temp(1,1),e3t(1,1),ae3(1,1))
4007 call matvec2(ae3(1,1),Ub2(1,i+2),auxvec(1))
4008 s2=scalar2(b1(1,iti1),auxvec(1))
4009 call matmat2(ae3(1,1),e2t(1,1),ae3e2(1,1))
4010 call matmat2(ae3e2(1,1),e1t(1,1),pizda(1,1))
4011 s3=0.5d0*(pizda(1,1)+pizda(2,2))
4012 c write (iout,*) "s1",s1," s2",s2," s3",s3," s1+s2+s3",s1+s2+s3
4013 gcorr4_turn(l,j1)=gcorr4_turn(l,j1)-(s1+s2+s3)
4017 C-----------------------------------------------------------------------------
4018 subroutine vecpr(u,v,w)
4019 implicit real*8(a-h,o-z)
4020 dimension u(3),v(3),w(3)
4021 w(1)=u(2)*v(3)-u(3)*v(2)
4022 w(2)=-u(1)*v(3)+u(3)*v(1)
4023 w(3)=u(1)*v(2)-u(2)*v(1)
4026 C-----------------------------------------------------------------------------
4027 subroutine unormderiv(u,ugrad,unorm,ungrad)
4028 C This subroutine computes the derivatives of a normalized vector u, given
4029 C the derivatives computed without normalization conditions, ugrad. Returns
4032 double precision u(3),ugrad(3,3),unorm,ungrad(3,3)
4033 double precision vec(3)
4034 double precision scalar
4036 c write (2,*) 'ugrad',ugrad
4039 vec(i)=scalar(ugrad(1,i),u(1))
4041 c write (2,*) 'vec',vec
4044 ungrad(j,i)=(ugrad(j,i)-u(j)*vec(i))*unorm
4047 c write (2,*) 'ungrad',ungrad
4050 C-----------------------------------------------------------------------------
4051 subroutine escp_soft_sphere(evdw2,evdw2_14)
4053 C This subroutine calculates the excluded-volume interaction energy between
4054 C peptide-group centers and side chains and its gradient in virtual-bond and
4055 C side-chain vectors.
4057 implicit real*8 (a-h,o-z)
4058 include 'DIMENSIONS'
4059 include 'COMMON.GEO'
4060 include 'COMMON.VAR'
4061 include 'COMMON.LOCAL'
4062 include 'COMMON.CHAIN'
4063 include 'COMMON.DERIV'
4064 include 'COMMON.INTERACT'
4065 include 'COMMON.FFIELD'
4066 include 'COMMON.IOUNITS'
4067 include 'COMMON.CONTROL'
4072 cd print '(a)','Enter ESCP'
4073 cd write (iout,*) 'iatscp_s=',iatscp_s,' iatscp_e=',iatscp_e
4074 do i=iatscp_s,iatscp_e
4076 xi=0.5D0*(c(1,i)+c(1,i+1))
4077 yi=0.5D0*(c(2,i)+c(2,i+1))
4078 zi=0.5D0*(c(3,i)+c(3,i+1))
4080 do iint=1,nscp_gr(i)
4082 do j=iscpstart(i,iint),iscpend(i,iint)
4084 C Uncomment following three lines for SC-p interactions
4088 C Uncomment following three lines for Ca-p interactions
4092 rij=xj*xj+yj*yj+zj*zj
4095 if (rij.lt.r0ijsq) then
4096 evdwij=0.25d0*(rij-r0ijsq)**2
4104 C Calculate contributions to the gradient in the virtual-bond and SC vectors.
4109 cgrad if (j.lt.i) then
4110 cd write (iout,*) 'j<i'
4111 C Uncomment following three lines for SC-p interactions
4113 c gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4116 cd write (iout,*) 'j>i'
4118 cgrad ggg(k)=-ggg(k)
4119 C Uncomment following line for SC-p interactions
4120 c gradx_scp(k,j)=gradx_scp(k,j)-ggg(k)
4124 cgrad gvdwc_scp(k,i)=gvdwc_scp(k,i)-0.5D0*ggg(k)
4126 cgrad kstart=min0(i+1,j)
4127 cgrad kend=max0(i-1,j-1)
4128 cd write (iout,*) 'i=',i,' j=',j,' kstart=',kstart,' kend=',kend
4129 cd write (iout,*) ggg(1),ggg(2),ggg(3)
4130 cgrad do k=kstart,kend
4132 cgrad gvdwc_scp(l,k)=gvdwc_scp(l,k)-ggg(l)
4136 gvdwc_scpp(k,i)=gvdwc_scpp(k,i)-ggg(k)
4137 gvdwc_scp(k,j)=gvdwc_scp(k,j)+ggg(k)
4145 C-----------------------------------------------------------------------------
4146 subroutine escp(evdw2,evdw2_14)
4148 C This subroutine calculates the excluded-volume interaction energy between
4149 C peptide-group centers and side chains and its gradient in virtual-bond and
4150 C side-chain vectors.
4152 implicit real*8 (a-h,o-z)
4153 include 'DIMENSIONS'
4154 include 'COMMON.GEO'
4155 include 'COMMON.VAR'
4156 include 'COMMON.LOCAL'
4157 include 'COMMON.CHAIN'
4158 include 'COMMON.DERIV'
4159 include 'COMMON.INTERACT'
4160 include 'COMMON.FFIELD'
4161 include 'COMMON.IOUNITS'
4162 include 'COMMON.CONTROL'
4166 cd print '(a)','Enter ESCP'
4167 cd write (iout,*) 'iatscp_s=',iatscp_s,' iatscp_e=',iatscp_e
4168 do i=iatscp_s,iatscp_e
4170 xi=0.5D0*(c(1,i)+c(1,i+1))
4171 yi=0.5D0*(c(2,i)+c(2,i+1))
4172 zi=0.5D0*(c(3,i)+c(3,i+1))
4174 do iint=1,nscp_gr(i)
4176 do j=iscpstart(i,iint),iscpend(i,iint)
4178 C Uncomment following three lines for SC-p interactions
4182 C Uncomment following three lines for Ca-p interactions
4186 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
4188 e1=fac*fac*aad(itypj,iteli)
4189 e2=fac*bad(itypj,iteli)
4190 if (iabs(j-i) .le. 2) then
4193 evdw2_14=evdw2_14+e1+e2
4197 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
4198 & 'evdw2',i,j,evdwij
4200 C Calculate contributions to the gradient in the virtual-bond and SC vectors.
4202 fac=-(evdwij+e1)*rrij
4206 cgrad if (j.lt.i) then
4207 cd write (iout,*) 'j<i'
4208 C Uncomment following three lines for SC-p interactions
4210 c gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4213 cd write (iout,*) 'j>i'
4215 cgrad ggg(k)=-ggg(k)
4216 C Uncomment following line for SC-p interactions
4217 ccgrad gradx_scp(k,j)=gradx_scp(k,j)-ggg(k)
4218 c gradx_scp(k,j)=gradx_scp(k,j)+ggg(k)
4222 cgrad gvdwc_scp(k,i)=gvdwc_scp(k,i)-0.5D0*ggg(k)
4224 cgrad kstart=min0(i+1,j)
4225 cgrad kend=max0(i-1,j-1)
4226 cd write (iout,*) 'i=',i,' j=',j,' kstart=',kstart,' kend=',kend
4227 cd write (iout,*) ggg(1),ggg(2),ggg(3)
4228 cgrad do k=kstart,kend
4230 cgrad gvdwc_scp(l,k)=gvdwc_scp(l,k)-ggg(l)
4234 gvdwc_scpp(k,i)=gvdwc_scpp(k,i)-ggg(k)
4235 gvdwc_scp(k,j)=gvdwc_scp(k,j)+ggg(k)
4243 gvdwc_scp(j,i)=expon*gvdwc_scp(j,i)
4244 gvdwc_scpp(j,i)=expon*gvdwc_scpp(j,i)
4245 gradx_scp(j,i)=expon*gradx_scp(j,i)
4248 C******************************************************************************
4252 C To save time the factor EXPON has been extracted from ALL components
4253 C of GVDWC and GRADX. Remember to multiply them by this factor before further
4256 C******************************************************************************
4259 C--------------------------------------------------------------------------
4260 subroutine edis(ehpb)
4262 C Evaluate bridge-strain energy and its gradient in virtual-bond and SC vectors.
4264 implicit real*8 (a-h,o-z)
4265 include 'DIMENSIONS'
4266 include 'COMMON.SBRIDGE'
4267 include 'COMMON.CHAIN'
4268 include 'COMMON.DERIV'
4269 include 'COMMON.VAR'
4270 include 'COMMON.INTERACT'
4271 include 'COMMON.IOUNITS'
4274 cd write(iout,*)'edis: nhpb=',nhpb,' fbr=',fbr
4275 cd write(iout,*)'link_start=',link_start,' link_end=',link_end
4276 if (link_end.eq.0) return
4277 do i=link_start,link_end
4278 C If ihpb(i) and jhpb(i) > NRES, this is a SC-SC distance, otherwise a
4279 C CA-CA distance used in regularization of structure.
4282 C iii and jjj point to the residues for which the distance is assigned.
4283 if (ii.gt.nres) then
4290 c write (iout,*) "i",i," ii",ii," iii",iii," jj",jj," jjj",jjj,
4291 c & dhpb(i),dhpb1(i),forcon(i)
4292 C 24/11/03 AL: SS bridges handled separately because of introducing a specific
4293 C distance and angle dependent SS bond potential.
4294 cmc if (ii.gt.nres .and. itype(iii).eq.1 .and. itype(jjj).eq.1) then
4295 C 18/07/06 MC: Use the convention that the first nss pairs are SS bonds
4296 if (.not.dyn_ss .and. i.le.nss) then
4297 C 15/02/13 CC dynamic SSbond - additional check
4299 & .and. itype(iii).eq.1 .and. itype(jjj).eq.1) then
4300 call ssbond_ene(iii,jjj,eij)
4303 cd write (iout,*) "eij",eij
4304 else if (ii.gt.nres .and. jj.gt.nres) then
4305 c Restraints from contact prediction
4307 if (dhpb1(i).gt.0.0d0) then
4308 ehpb=ehpb+2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4309 fac=forcon(i)*gnmr1prim(dd,dhpb(i),dhpb1(i))/dd
4310 c write (iout,*) "beta nmr",
4311 c & dd,2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4315 C Get the force constant corresponding to this distance.
4317 C Calculate the contribution to energy.
4318 ehpb=ehpb+waga*rdis*rdis
4319 c write (iout,*) "beta reg",dd,waga*rdis*rdis
4321 C Evaluate gradient.
4326 ggg(j)=fac*(c(j,jj)-c(j,ii))
4329 ghpbx(j,iii)=ghpbx(j,iii)-ggg(j)
4330 ghpbx(j,jjj)=ghpbx(j,jjj)+ggg(j)
4333 ghpbc(k,jjj)=ghpbc(k,jjj)+ggg(k)
4334 ghpbc(k,iii)=ghpbc(k,iii)-ggg(k)
4337 C Calculate the distance between the two points and its difference from the
4340 if (dhpb1(i).gt.0.0d0) then
4341 ehpb=ehpb+2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4342 fac=forcon(i)*gnmr1prim(dd,dhpb(i),dhpb1(i))/dd
4343 c write (iout,*) "alph nmr",
4344 c & dd,2*forcon(i)*gnmr1(dd,dhpb(i),dhpb1(i))
4347 C Get the force constant corresponding to this distance.
4349 C Calculate the contribution to energy.
4350 ehpb=ehpb+waga*rdis*rdis
4351 c write (iout,*) "alpha reg",dd,waga*rdis*rdis
4353 C Evaluate gradient.
4357 cd print *,'i=',i,' ii=',ii,' jj=',jj,' dhpb=',dhpb(i),' dd=',dd,
4358 cd & ' waga=',waga,' fac=',fac
4360 ggg(j)=fac*(c(j,jj)-c(j,ii))
4362 cd print '(i3,3(1pe14.5))',i,(ggg(j),j=1,3)
4363 C If this is a SC-SC distance, we need to calculate the contributions to the
4364 C Cartesian gradient in the SC vectors (ghpbx).
4367 ghpbx(j,iii)=ghpbx(j,iii)-ggg(j)
4368 ghpbx(j,jjj)=ghpbx(j,jjj)+ggg(j)
4371 cgrad do j=iii,jjj-1
4373 cgrad ghpbc(k,j)=ghpbc(k,j)+ggg(k)
4377 ghpbc(k,jjj)=ghpbc(k,jjj)+ggg(k)
4378 ghpbc(k,iii)=ghpbc(k,iii)-ggg(k)
4385 C--------------------------------------------------------------------------
4386 subroutine ssbond_ene(i,j,eij)
4388 C Calculate the distance and angle dependent SS-bond potential energy
4389 C using a free-energy function derived based on RHF/6-31G** ab initio
4390 C calculations of diethyl disulfide.
4392 C A. Liwo and U. Kozlowska, 11/24/03
4394 implicit real*8 (a-h,o-z)
4395 include 'DIMENSIONS'
4396 include 'COMMON.SBRIDGE'
4397 include 'COMMON.CHAIN'
4398 include 'COMMON.DERIV'
4399 include 'COMMON.LOCAL'
4400 include 'COMMON.INTERACT'
4401 include 'COMMON.VAR'
4402 include 'COMMON.IOUNITS'
4403 double precision erij(3),dcosom1(3),dcosom2(3),gg(3)
4408 dxi=dc_norm(1,nres+i)
4409 dyi=dc_norm(2,nres+i)
4410 dzi=dc_norm(3,nres+i)
4411 c dsci_inv=dsc_inv(itypi)
4412 dsci_inv=vbld_inv(nres+i)
4414 c dscj_inv=dsc_inv(itypj)
4415 dscj_inv=vbld_inv(nres+j)
4419 dxj=dc_norm(1,nres+j)
4420 dyj=dc_norm(2,nres+j)
4421 dzj=dc_norm(3,nres+j)
4422 rrij=1.0D0/(xj*xj+yj*yj+zj*zj)
4427 om1=dxi*erij(1)+dyi*erij(2)+dzi*erij(3)
4428 om2=dxj*erij(1)+dyj*erij(2)+dzj*erij(3)
4429 om12=dxi*dxj+dyi*dyj+dzi*dzj
4431 dcosom1(k)=rij*(dc_norm(k,nres+i)-om1*erij(k))
4432 dcosom2(k)=rij*(dc_norm(k,nres+j)-om2*erij(k))
4438 deltat12=om2-om1+2.0d0
4440 eij=akcm*deltad*deltad+akth*(deltat1*deltat1+deltat2*deltat2)
4441 & +akct*deltad*deltat12+ebr
4442 & +v1ss*cosphi+v2ss*cosphi*cosphi+v3ss*cosphi*cosphi*cosphi
4443 c write(iout,*) i,j,"rij",rij,"d0cm",d0cm," akcm",akcm," akth",akth,
4444 c & " akct",akct," deltad",deltad," deltat",deltat1,deltat2,
4445 c & " deltat12",deltat12," eij",eij
4446 ed=2*akcm*deltad+akct*deltat12
4448 pom2=v1ss+2*v2ss*cosphi+3*v3ss*cosphi*cosphi
4449 eom1=-2*akth*deltat1-pom1-om2*pom2
4450 eom2= 2*akth*deltat2+pom1-om1*pom2
4453 ggk=ed*erij(k)+eom1*dcosom1(k)+eom2*dcosom2(k)
4454 ghpbx(k,i)=ghpbx(k,i)-ggk
4455 & +(eom12*(dc_norm(k,nres+j)-om12*dc_norm(k,nres+i))
4456 & +eom1*(erij(k)-om1*dc_norm(k,nres+i)))*dsci_inv
4457 ghpbx(k,j)=ghpbx(k,j)+ggk
4458 & +(eom12*(dc_norm(k,nres+i)-om12*dc_norm(k,nres+j))
4459 & +eom2*(erij(k)-om2*dc_norm(k,nres+j)))*dscj_inv
4460 ghpbc(k,i)=ghpbc(k,i)-ggk
4461 ghpbc(k,j)=ghpbc(k,j)+ggk
4464 C Calculate the components of the gradient in DC and X
4468 cgrad ghpbc(l,k)=ghpbc(l,k)+gg(l)
4473 C--------------------------------------------------------------------------
4474 subroutine ebond(estr)
4476 c Evaluate the energy of stretching of the CA-CA and CA-SC virtual bonds
4478 implicit real*8 (a-h,o-z)
4479 include 'DIMENSIONS'
4480 include 'COMMON.LOCAL'
4481 include 'COMMON.GEO'
4482 include 'COMMON.INTERACT'
4483 include 'COMMON.DERIV'
4484 include 'COMMON.VAR'
4485 include 'COMMON.CHAIN'
4486 include 'COMMON.IOUNITS'
4487 include 'COMMON.NAMES'
4488 include 'COMMON.FFIELD'
4489 include 'COMMON.CONTROL'
4490 include 'COMMON.SETUP'
4491 double precision u(3),ud(3)
4493 do i=ibondp_start,ibondp_end
4494 diff = vbld(i)-vbldp0
4495 c write (iout,*) i,vbld(i),vbldp0,diff,AKP*diff*diff
4498 gradb(j,i-1)=AKP*diff*dc(j,i-1)/vbld(i)
4500 c write (iout,'(i5,3f10.5)') i,(gradb(j,i-1),j=1,3)
4504 c 09/18/07 AL: multimodal bond potential based on AM1 CA-SC PMF's included
4506 do i=ibond_start,ibond_end
4511 diff=vbld(i+nres)-vbldsc0(1,iti)
4512 c write (iout,*) i,iti,vbld(i+nres),vbldsc0(1,iti),diff,
4513 c & AKSC(1,iti),AKSC(1,iti)*diff*diff
4514 estr=estr+0.5d0*AKSC(1,iti)*diff*diff
4516 gradbx(j,i)=AKSC(1,iti)*diff*dc(j,i+nres)/vbld(i+nres)
4520 diff=vbld(i+nres)-vbldsc0(j,iti)
4521 ud(j)=aksc(j,iti)*diff
4522 u(j)=abond0(j,iti)+0.5d0*ud(j)*diff
4536 uprod2=uprod2*u(k)*u(k)
4540 usumsqder=usumsqder+ud(j)*uprod2
4542 estr=estr+uprod/usum
4544 gradbx(j,i)=usumsqder/(usum*usum)*dc(j,i+nres)/vbld(i+nres)
4552 C--------------------------------------------------------------------------
4553 subroutine ebend(etheta)
4555 C Evaluate the virtual-bond-angle energy given the virtual-bond dihedral
4556 C angles gamma and its derivatives in consecutive thetas and gammas.
4558 implicit real*8 (a-h,o-z)
4559 include 'DIMENSIONS'
4560 include 'COMMON.LOCAL'
4561 include 'COMMON.GEO'
4562 include 'COMMON.INTERACT'
4563 include 'COMMON.DERIV'
4564 include 'COMMON.VAR'
4565 include 'COMMON.CHAIN'
4566 include 'COMMON.IOUNITS'
4567 include 'COMMON.NAMES'
4568 include 'COMMON.FFIELD'
4569 include 'COMMON.CONTROL'
4570 common /calcthet/ term1,term2,termm,diffak,ratak,
4571 & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4572 & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4573 double precision y(2),z(2)
4575 c time11=dexp(-2*time)
4578 c write (*,'(a,i2)') 'EBEND ICG=',icg
4579 do i=ithet_start,ithet_end
4580 C Zero the energy function and its derivative at 0 or pi.
4581 call splinthet(theta(i),0.5d0*delta,ss,ssd)
4586 if (phii.ne.phii) phii=150.0
4599 if (phii1.ne.phii1) phii1=150.0
4611 C Calculate the "mean" value of theta from the part of the distribution
4612 C dependent on the adjacent virtual-bond-valence angles (gamma1 & gamma2).
4613 C In following comments this theta will be referred to as t_c.
4614 thet_pred_mean=0.0d0
4618 thet_pred_mean=thet_pred_mean+athetk*y(k)+bthetk*z(k)
4620 dthett=thet_pred_mean*ssd
4621 thet_pred_mean=thet_pred_mean*ss+a0thet(it)
4622 C Derivatives of the "mean" values in gamma1 and gamma2.
4623 dthetg1=(-athet(1,it)*y(2)+athet(2,it)*y(1))*ss
4624 dthetg2=(-bthet(1,it)*z(2)+bthet(2,it)*z(1))*ss
4625 if (theta(i).gt.pi-delta) then
4626 call theteng(pi-delta,thet_pred_mean,theta0(it),f0,fprim0,
4628 call mixder(pi-delta,thet_pred_mean,theta0(it),fprim_tc0)
4629 call theteng(pi,thet_pred_mean,theta0(it),f1,fprim1,E_tc1)
4630 call spline1(theta(i),pi-delta,delta,f0,f1,fprim0,ethetai,
4632 call spline2(theta(i),pi-delta,delta,E_tc0,E_tc1,fprim_tc0,
4634 else if (theta(i).lt.delta) then
4635 call theteng(delta,thet_pred_mean,theta0(it),f0,fprim0,E_tc0)
4636 call theteng(0.0d0,thet_pred_mean,theta0(it),f1,fprim1,E_tc1)
4637 call spline1(theta(i),delta,-delta,f0,f1,fprim0,ethetai,
4639 call mixder(delta,thet_pred_mean,theta0(it),fprim_tc0)
4640 call spline2(theta(i),delta,-delta,E_tc0,E_tc1,fprim_tc0,
4643 call theteng(theta(i),thet_pred_mean,theta0(it),ethetai,
4646 etheta=etheta+ethetai
4647 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
4649 if (i.gt.3) gloc(i-3,icg)=gloc(i-3,icg)+wang*E_tc*dthetg1
4650 if (i.lt.nres) gloc(i-2,icg)=gloc(i-2,icg)+wang*E_tc*dthetg2
4651 gloc(nphi+i-2,icg)=wang*(E_theta+E_tc*dthett)
4653 C Ufff.... We've done all this!!!
4656 C---------------------------------------------------------------------------
4657 subroutine theteng(thetai,thet_pred_mean,theta0i,ethetai,E_theta,
4659 implicit real*8 (a-h,o-z)
4660 include 'DIMENSIONS'
4661 include 'COMMON.LOCAL'
4662 include 'COMMON.IOUNITS'
4663 common /calcthet/ term1,term2,termm,diffak,ratak,
4664 & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4665 & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4666 C Calculate the contributions to both Gaussian lobes.
4667 C 6/6/97 - Deform the Gaussians using the factor of 1/(1+time)
4668 C The "polynomial part" of the "standard deviation" of this part of
4672 sig=sig*thet_pred_mean+polthet(j,it)
4674 C Derivative of the "interior part" of the "standard deviation of the"
4675 C gamma-dependent Gaussian lobe in t_c.
4676 sigtc=3*polthet(3,it)
4678 sigtc=sigtc*thet_pred_mean+j*polthet(j,it)
4681 C Set the parameters of both Gaussian lobes of the distribution.
4682 C "Standard deviation" of the gamma-dependent Gaussian lobe (sigtc)
4683 fac=sig*sig+sigc0(it)
4686 C Following variable (sigsqtc) is -(1/2)d[sigma(t_c)**(-2))]/dt_c
4687 sigsqtc=-4.0D0*sigcsq*sigtc
4688 c print *,i,sig,sigtc,sigsqtc
4689 C Following variable (sigtc) is d[sigma(t_c)]/dt_c
4690 sigtc=-sigtc/(fac*fac)
4691 C Following variable is sigma(t_c)**(-2)
4692 sigcsq=sigcsq*sigcsq
4694 sig0inv=1.0D0/sig0i**2
4695 delthec=thetai-thet_pred_mean
4696 delthe0=thetai-theta0i
4697 term1=-0.5D0*sigcsq*delthec*delthec
4698 term2=-0.5D0*sig0inv*delthe0*delthe0
4699 C Following fuzzy logic is to avoid underflows in dexp and subsequent INFs and
4700 C NaNs in taking the logarithm. We extract the largest exponent which is added
4701 C to the energy (this being the log of the distribution) at the end of energy
4702 C term evaluation for this virtual-bond angle.
4703 if (term1.gt.term2) then
4705 term2=dexp(term2-termm)
4709 term1=dexp(term1-termm)
4712 C The ratio between the gamma-independent and gamma-dependent lobes of
4713 C the distribution is a Gaussian function of thet_pred_mean too.
4714 diffak=gthet(2,it)-thet_pred_mean
4715 ratak=diffak/gthet(3,it)**2
4716 ak=dexp(gthet(1,it)-0.5D0*diffak*ratak)
4717 C Let's differentiate it in thet_pred_mean NOW.
4719 C Now put together the distribution terms to make complete distribution.
4720 termexp=term1+ak*term2
4721 termpre=sigc+ak*sig0i
4722 C Contribution of the bending energy from this theta is just the -log of
4723 C the sum of the contributions from the two lobes and the pre-exponential
4724 C factor. Simple enough, isn't it?
4725 ethetai=(-dlog(termexp)-termm+dlog(termpre))
4726 C NOW the derivatives!!!
4727 C 6/6/97 Take into account the deformation.
4728 E_theta=(delthec*sigcsq*term1
4729 & +ak*delthe0*sig0inv*term2)/termexp
4730 E_tc=((sigtc+aktc*sig0i)/termpre
4731 & -((delthec*sigcsq+delthec*delthec*sigsqtc)*term1+
4732 & aktc*term2)/termexp)
4735 c-----------------------------------------------------------------------------
4736 subroutine mixder(thetai,thet_pred_mean,theta0i,E_tc_t)
4737 implicit real*8 (a-h,o-z)
4738 include 'DIMENSIONS'
4739 include 'COMMON.LOCAL'
4740 include 'COMMON.IOUNITS'
4741 common /calcthet/ term1,term2,termm,diffak,ratak,
4742 & ak,aktc,termpre,termexp,sigc,sig0i,time11,time12,sigcsq,
4743 & delthe0,sig0inv,sigtc,sigsqtc,delthec,it
4744 delthec=thetai-thet_pred_mean
4745 delthe0=thetai-theta0i
4746 C "Thank you" to MAPLE (probably spared one day of hand-differentiation).
4747 t3 = thetai-thet_pred_mean
4751 t14 = t12+t6*sigsqtc
4753 t21 = thetai-theta0i
4759 E_tc_t = -((sigcsq+2.D0*t3*sigsqtc)*t9-t14*sigcsq*t3*t16*t9
4760 & -aktc*sig0inv*t27)/t32+(t14*t9+aktc*t26)/t40
4761 & *(-t12*t9-ak*sig0inv*t27)
4765 C--------------------------------------------------------------------------
4766 subroutine ebend(etheta)
4768 C Evaluate the virtual-bond-angle energy given the virtual-bond dihedral
4769 C angles gamma and its derivatives in consecutive thetas and gammas.
4770 C ab initio-derived potentials from
4771 c Kozlowska et al., J. Phys.: Condens. Matter 19 (2007) 285203
4773 implicit real*8 (a-h,o-z)
4774 include 'DIMENSIONS'
4775 include 'COMMON.LOCAL'
4776 include 'COMMON.GEO'
4777 include 'COMMON.INTERACT'
4778 include 'COMMON.DERIV'
4779 include 'COMMON.VAR'
4780 include 'COMMON.CHAIN'
4781 include 'COMMON.IOUNITS'
4782 include 'COMMON.NAMES'
4783 include 'COMMON.FFIELD'
4784 include 'COMMON.CONTROL'
4785 double precision coskt(mmaxtheterm),sinkt(mmaxtheterm),
4786 & cosph1(maxsingle),sinph1(maxsingle),cosph2(maxsingle),
4787 & sinph2(maxsingle),cosph1ph2(maxdouble,maxdouble),
4788 & sinph1ph2(maxdouble,maxdouble)
4789 logical lprn /.false./, lprn1 /.false./
4791 do i=ithet_start,ithet_end
4792 if ((itype(i-1).eq.ntyp1).or.(itype(i-2).eq.ntyp1).or.
4793 &(itype(i).eq.ntyp1)) cycle
4797 theti2=0.5d0*theta(i)
4798 ityp2=ithetyp(itype(i-1))
4800 coskt(k)=dcos(k*theti2)
4801 sinkt(k)=dsin(k*theti2)
4804 if (i.gt.3 .and. itype(i-3).ne.ntyp1) then
4807 if (phii.ne.phii) phii=150.0
4811 ityp1=ithetyp(itype(i-2))
4813 cosph1(k)=dcos(k*phii)
4814 sinph1(k)=dsin(k*phii)
4818 ityp1=ithetyp(itype(i-2))
4824 if ((i.lt.nres).and. itype(i+1).ne.ntyp1) then
4827 if (phii1.ne.phii1) phii1=150.0
4832 ityp3=ithetyp(itype(i))
4834 cosph2(k)=dcos(k*phii1)
4835 sinph2(k)=dsin(k*phii1)
4839 ityp3=ithetyp(itype(i))
4845 ethetai=aa0thet(ityp1,ityp2,ityp3)
4848 ccl=cosph1(l)*cosph2(k-l)
4849 ssl=sinph1(l)*sinph2(k-l)
4850 scl=sinph1(l)*cosph2(k-l)
4851 csl=cosph1(l)*sinph2(k-l)
4852 cosph1ph2(l,k)=ccl-ssl
4853 cosph1ph2(k,l)=ccl+ssl
4854 sinph1ph2(l,k)=scl+csl
4855 sinph1ph2(k,l)=scl-csl
4859 write (iout,*) "i",i," ityp1",ityp1," ityp2",ityp2,
4860 & " ityp3",ityp3," theti2",theti2," phii",phii," phii1",phii1
4861 write (iout,*) "coskt and sinkt"
4863 write (iout,*) k,coskt(k),sinkt(k)
4867 ethetai=ethetai+aathet(k,ityp1,ityp2,ityp3)*sinkt(k)
4868 dethetai=dethetai+0.5d0*k*aathet(k,ityp1,ityp2,ityp3)
4871 & write (iout,*) "k",k," aathet",aathet(k,ityp1,ityp2,ityp3),
4872 & " ethetai",ethetai
4875 write (iout,*) "cosph and sinph"
4877 write (iout,*) k,cosph1(k),sinph1(k),cosph2(k),sinph2(k)
4879 write (iout,*) "cosph1ph2 and sinph2ph2"
4882 write (iout,*) l,k,cosph1ph2(l,k),cosph1ph2(k,l),
4883 & sinph1ph2(l,k),sinph1ph2(k,l)
4886 write(iout,*) "ethetai",ethetai
4890 aux=bbthet(k,m,ityp1,ityp2,ityp3)*cosph1(k)
4891 & +ccthet(k,m,ityp1,ityp2,ityp3)*sinph1(k)
4892 & +ddthet(k,m,ityp1,ityp2,ityp3)*cosph2(k)
4893 & +eethet(k,m,ityp1,ityp2,ityp3)*sinph2(k)
4894 ethetai=ethetai+sinkt(m)*aux
4895 dethetai=dethetai+0.5d0*m*aux*coskt(m)
4896 dephii=dephii+k*sinkt(m)*(
4897 & ccthet(k,m,ityp1,ityp2,ityp3)*cosph1(k)-
4898 & bbthet(k,m,ityp1,ityp2,ityp3)*sinph1(k))
4899 dephii1=dephii1+k*sinkt(m)*(
4900 & eethet(k,m,ityp1,ityp2,ityp3)*cosph2(k)-
4901 & ddthet(k,m,ityp1,ityp2,ityp3)*sinph2(k))
4903 & write (iout,*) "m",m," k",k," bbthet",
4904 & bbthet(k,m,ityp1,ityp2,ityp3)," ccthet",
4905 & ccthet(k,m,ityp1,ityp2,ityp3)," ddthet",
4906 & ddthet(k,m,ityp1,ityp2,ityp3)," eethet",
4907 & eethet(k,m,ityp1,ityp2,ityp3)," ethetai",ethetai
4911 & write(iout,*) "ethetai",ethetai
4915 aux=ffthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)+
4916 & ffthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l)+
4917 & ggthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)+
4918 & ggthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)
4919 ethetai=ethetai+sinkt(m)*aux
4920 dethetai=dethetai+0.5d0*m*coskt(m)*aux
4921 dephii=dephii+l*sinkt(m)*(
4922 & -ffthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)-
4923 & ffthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)+
4924 & ggthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)+
4925 & ggthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l))
4926 dephii1=dephii1+(k-l)*sinkt(m)*(
4927 & -ffthet(l,k,m,ityp1,ityp2,ityp3)*sinph1ph2(l,k)+
4928 & ffthet(k,l,m,ityp1,ityp2,ityp3)*sinph1ph2(k,l)+
4929 & ggthet(l,k,m,ityp1,ityp2,ityp3)*cosph1ph2(l,k)-
4930 & ggthet(k,l,m,ityp1,ityp2,ityp3)*cosph1ph2(k,l))
4932 write (iout,*) "m",m," k",k," l",l," ffthet",
4933 & ffthet(l,k,m,ityp1,ityp2,ityp3),
4934 & ffthet(k,l,m,ityp1,ityp2,ityp3)," ggthet",
4935 & ggthet(l,k,m,ityp1,ityp2,ityp3),
4936 & ggthet(k,l,m,ityp1,ityp2,ityp3)," ethetai",ethetai
4937 write (iout,*) cosph1ph2(l,k)*sinkt(m),
4938 & cosph1ph2(k,l)*sinkt(m),
4939 & sinph1ph2(l,k)*sinkt(m),sinph1ph2(k,l)*sinkt(m)
4945 if (lprn1) write (iout,'(a4,i2,3f8.1,9h ethetai ,f10.5)')
4946 & 'ebe', i,theta(i)*rad2deg,phii*rad2deg,
4947 & phii1*rad2deg,ethetai
4948 etheta=etheta+ethetai
4949 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
4951 if (i.gt.3) gloc(i-3,icg)=gloc(i-3,icg)+wang*dephii
4952 if (i.lt.nres) gloc(i-2,icg)=gloc(i-2,icg)+wang*dephii1
4953 gloc(nphi+i-2,icg)=wang*dethetai
4959 c-----------------------------------------------------------------------------
4960 subroutine esc(escloc)
4961 C Calculate the local energy of a side chain and its derivatives in the
4962 C corresponding virtual-bond valence angles THETA and the spherical angles
4964 implicit real*8 (a-h,o-z)
4965 include 'DIMENSIONS'
4966 include 'COMMON.GEO'
4967 include 'COMMON.LOCAL'
4968 include 'COMMON.VAR'
4969 include 'COMMON.INTERACT'
4970 include 'COMMON.DERIV'
4971 include 'COMMON.CHAIN'
4972 include 'COMMON.IOUNITS'
4973 include 'COMMON.NAMES'
4974 include 'COMMON.FFIELD'
4975 include 'COMMON.CONTROL'
4976 double precision x(3),dersc(3),xemp(3),dersc0(3),dersc1(3),
4977 & ddersc0(3),ddummy(3),xtemp(3),temp(3)
4978 common /sccalc/ time11,time12,time112,theti,it,nlobit
4981 c write (iout,'(a)') 'ESC'
4982 do i=loc_start,loc_end
4984 if (it.eq.10) goto 1
4986 c print *,'i=',i,' it=',it,' nlobit=',nlobit
4987 c write (iout,*) 'i=',i,' ssa=',ssa,' ssad=',ssad
4988 theti=theta(i+1)-pipol
4993 if (x(2).gt.pi-delta) then
4997 call enesc(xtemp,escloci0,dersc0,ddersc0,.true.)
4999 call enesc(xtemp,escloci1,dersc1,ddummy,.false.)
5000 call spline1(x(2),pi-delta,delta,escloci0,escloci1,dersc0(2),
5002 call spline2(x(2),pi-delta,delta,dersc0(1),dersc1(1),
5003 & ddersc0(1),dersc(1))
5004 call spline2(x(2),pi-delta,delta,dersc0(3),dersc1(3),
5005 & ddersc0(3),dersc(3))
5007 call enesc_bound(xtemp,esclocbi0,dersc0,dersc12,.true.)
5009 call enesc_bound(xtemp,esclocbi1,dersc1,chuju,.false.)
5010 call spline1(x(2),pi-delta,delta,esclocbi0,esclocbi1,
5011 & dersc0(2),esclocbi,dersc02)
5012 call spline2(x(2),pi-delta,delta,dersc0(1),dersc1(1),
5014 call splinthet(x(2),0.5d0*delta,ss,ssd)
5019 dersc(k)=ss*dersc(k)+(1.0d0-ss)*dersc0(k)
5021 dersc(2)=dersc(2)+ssd*(escloci-esclocbi)
5022 c write (iout,*) 'i=',i,x(2)*rad2deg,escloci0,escloci,
5024 escloci=ss*escloci+(1.0d0-ss)*esclocbi
5026 c write (iout,*) escloci
5027 else if (x(2).lt.delta) then
5031 call enesc(xtemp,escloci0,dersc0,ddersc0,.true.)
5033 call enesc(xtemp,escloci1,dersc1,ddummy,.false.)
5034 call spline1(x(2),delta,-delta,escloci0,escloci1,dersc0(2),
5036 call spline2(x(2),delta,-delta,dersc0(1),dersc1(1),
5037 & ddersc0(1),dersc(1))
5038 call spline2(x(2),delta,-delta,dersc0(3),dersc1(3),
5039 & ddersc0(3),dersc(3))
5041 call enesc_bound(xtemp,esclocbi0,dersc0,dersc12,.true.)
5043 call enesc_bound(xtemp,esclocbi1,dersc1,chuju,.false.)
5044 call spline1(x(2),delta,-delta,esclocbi0,esclocbi1,
5045 & dersc0(2),esclocbi,dersc02)
5046 call spline2(x(2),delta,-delta,dersc0(1),dersc1(1),
5051 call splinthet(x(2),0.5d0*delta,ss,ssd)
5053 dersc(k)=ss*dersc(k)+(1.0d0-ss)*dersc0(k)
5055 dersc(2)=dersc(2)+ssd*(escloci-esclocbi)
5056 c write (iout,*) 'i=',i,x(2)*rad2deg,escloci0,escloci,
5058 escloci=ss*escloci+(1.0d0-ss)*esclocbi
5059 c write (iout,*) escloci
5061 call enesc(x,escloci,dersc,ddummy,.false.)
5064 escloc=escloc+escloci
5065 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5066 & 'escloc',i,escloci
5067 c write (iout,*) 'i=',i,' escloci=',escloci,' dersc=',dersc
5069 gloc(nphi+i-1,icg)=gloc(nphi+i-1,icg)+
5071 gloc(ialph(i,1),icg)=wscloc*dersc(2)
5072 gloc(ialph(i,1)+nside,icg)=wscloc*dersc(3)
5077 C---------------------------------------------------------------------------
5078 subroutine enesc(x,escloci,dersc,ddersc,mixed)
5079 implicit real*8 (a-h,o-z)
5080 include 'DIMENSIONS'
5081 include 'COMMON.GEO'
5082 include 'COMMON.LOCAL'
5083 include 'COMMON.IOUNITS'
5084 common /sccalc/ time11,time12,time112,theti,it,nlobit
5085 double precision x(3),z(3),Ax(3,maxlob,-1:1),dersc(3),ddersc(3)
5086 double precision contr(maxlob,-1:1)
5088 c write (iout,*) 'it=',it,' nlobit=',nlobit
5092 if (mixed) ddersc(j)=0.0d0
5096 C Because of periodicity of the dependence of the SC energy in omega we have
5097 C to add up the contributions from x(3)-2*pi, x(3), and x(3+2*pi).
5098 C To avoid underflows, first compute & store the exponents.
5106 z(k)=x(k)-censc(k,j,it)
5111 Axk=Axk+gaussc(l,k,j,it)*z(l)
5117 expfac=expfac+Ax(k,j,iii)*z(k)
5125 C As in the case of ebend, we want to avoid underflows in exponentiation and
5126 C subsequent NaNs and INFs in energy calculation.
5127 C Find the largest exponent
5131 if (emin.gt.contr(j,iii)) emin=contr(j,iii)
5135 cd print *,'it=',it,' emin=',emin
5137 C Compute the contribution to SC energy and derivatives
5142 adexp=bsc(j,it)-0.5D0*contr(j,iii)+emin
5143 if(adexp.ne.adexp) adexp=1.0
5146 expfac=dexp(bsc(j,it)-0.5D0*contr(j,iii)+emin)
5148 cd print *,'j=',j,' expfac=',expfac
5149 escloc_i=escloc_i+expfac
5151 dersc(k)=dersc(k)+Ax(k,j,iii)*expfac
5155 ddersc(k)=ddersc(k)+(-Ax(2,j,iii)*Ax(k,j,iii)
5156 & +gaussc(k,2,j,it))*expfac
5163 dersc(1)=dersc(1)/cos(theti)**2
5164 ddersc(1)=ddersc(1)/cos(theti)**2
5167 escloci=-(dlog(escloc_i)-emin)
5169 dersc(j)=dersc(j)/escloc_i
5173 ddersc(j)=(ddersc(j)/escloc_i+dersc(2)*dersc(j))
5178 C------------------------------------------------------------------------------
5179 subroutine enesc_bound(x,escloci,dersc,dersc12,mixed)
5180 implicit real*8 (a-h,o-z)
5181 include 'DIMENSIONS'
5182 include 'COMMON.GEO'
5183 include 'COMMON.LOCAL'
5184 include 'COMMON.IOUNITS'
5185 common /sccalc/ time11,time12,time112,theti,it,nlobit
5186 double precision x(3),z(3),Ax(3,maxlob),dersc(3)
5187 double precision contr(maxlob)
5198 z(k)=x(k)-censc(k,j,it)
5204 Axk=Axk+gaussc(l,k,j,it)*z(l)
5210 expfac=expfac+Ax(k,j)*z(k)
5215 C As in the case of ebend, we want to avoid underflows in exponentiation and
5216 C subsequent NaNs and INFs in energy calculation.
5217 C Find the largest exponent
5220 if (emin.gt.contr(j)) emin=contr(j)
5224 C Compute the contribution to SC energy and derivatives
5228 expfac=dexp(bsc(j,it)-0.5D0*contr(j)+emin)
5229 escloc_i=escloc_i+expfac
5231 dersc(k)=dersc(k)+Ax(k,j)*expfac
5233 if (mixed) dersc12=dersc12+(-Ax(2,j)*Ax(1,j)
5234 & +gaussc(1,2,j,it))*expfac
5238 dersc(1)=dersc(1)/cos(theti)**2
5239 dersc12=dersc12/cos(theti)**2
5240 escloci=-(dlog(escloc_i)-emin)
5242 dersc(j)=dersc(j)/escloc_i
5244 if (mixed) dersc12=(dersc12/escloc_i+dersc(2)*dersc(1))
5248 c----------------------------------------------------------------------------------
5249 subroutine esc(escloc)
5250 C Calculate the local energy of a side chain and its derivatives in the
5251 C corresponding virtual-bond valence angles THETA and the spherical angles
5252 C ALPHA and OMEGA derived from AM1 all-atom calculations.
5253 C added by Urszula Kozlowska. 07/11/2007
5255 implicit real*8 (a-h,o-z)
5256 include 'DIMENSIONS'
5257 include 'COMMON.GEO'
5258 include 'COMMON.LOCAL'
5259 include 'COMMON.VAR'
5260 include 'COMMON.SCROT'
5261 include 'COMMON.INTERACT'
5262 include 'COMMON.DERIV'
5263 include 'COMMON.CHAIN'
5264 include 'COMMON.IOUNITS'
5265 include 'COMMON.NAMES'
5266 include 'COMMON.FFIELD'
5267 include 'COMMON.CONTROL'
5268 include 'COMMON.VECTORS'
5269 double precision x_prime(3),y_prime(3),z_prime(3)
5270 & , sumene,dsc_i,dp2_i,x(65),
5271 & xx,yy,zz,sumene1,sumene2,sumene3,sumene4,s1,s1_6,s2,s2_6,
5272 & de_dxx,de_dyy,de_dzz,de_dt
5273 double precision s1_t,s1_6_t,s2_t,s2_6_t
5275 & dXX_Ci1(3),dYY_Ci1(3),dZZ_Ci1(3),dXX_Ci(3),
5276 & dYY_Ci(3),dZZ_Ci(3),dXX_XYZ(3),dYY_XYZ(3),dZZ_XYZ(3),
5277 & dt_dCi(3),dt_dCi1(3)
5278 common /sccalc/ time11,time12,time112,theti,it,nlobit
5281 do i=loc_start,loc_end
5282 costtab(i+1) =dcos(theta(i+1))
5283 sinttab(i+1) =dsqrt(1-costtab(i+1)*costtab(i+1))
5284 cost2tab(i+1)=dsqrt(0.5d0*(1.0d0+costtab(i+1)))
5285 sint2tab(i+1)=dsqrt(0.5d0*(1.0d0-costtab(i+1)))
5286 cosfac2=0.5d0/(1.0d0+costtab(i+1))
5287 cosfac=dsqrt(cosfac2)
5288 sinfac2=0.5d0/(1.0d0-costtab(i+1))
5289 sinfac=dsqrt(sinfac2)
5291 if (it.eq.10) goto 1
5293 C Compute the axes of tghe local cartesian coordinates system; store in
5294 c x_prime, y_prime and z_prime
5301 C write(2,*) "dc_norm", dc_norm(1,i+nres),dc_norm(2,i+nres),
5302 C & dc_norm(3,i+nres)
5304 x_prime(j) = (dc_norm(j,i) - dc_norm(j,i-1))*cosfac
5305 y_prime(j) = (dc_norm(j,i) + dc_norm(j,i-1))*sinfac
5308 z_prime(j) = -uz(j,i-1)
5311 c write (2,*) "x_prime",(x_prime(j),j=1,3)
5312 c write (2,*) "y_prime",(y_prime(j),j=1,3)
5313 c write (2,*) "z_prime",(z_prime(j),j=1,3)
5314 c write (2,*) "xx",scalar(x_prime(1),x_prime(1)),
5315 c & " xy",scalar(x_prime(1),y_prime(1)),
5316 c & " xz",scalar(x_prime(1),z_prime(1)),
5317 c & " yy",scalar(y_prime(1),y_prime(1)),
5318 c & " yz",scalar(y_prime(1),z_prime(1)),
5319 c & " zz",scalar(z_prime(1),z_prime(1))
5321 C Transform the unit vector of the ith side-chain centroid, dC_norm(*,i),
5322 C to local coordinate system. Store in xx, yy, zz.
5328 xx = xx + x_prime(j)*dc_norm(j,i+nres)
5329 yy = yy + y_prime(j)*dc_norm(j,i+nres)
5330 zz = zz + z_prime(j)*dc_norm(j,i+nres)
5337 C Compute the energy of the ith side cbain
5339 c write (2,*) "xx",xx," yy",yy," zz",zz
5342 x(j) = sc_parmin(j,it)
5345 Cc diagnostics - remove later
5347 yy1 = dsin(alph(2))*dcos(omeg(2))
5348 zz1 = -dsin(alph(2))*dsin(omeg(2))
5349 write(2,'(3f8.1,3f9.3,1x,3f9.3)')
5350 & alph(2)*rad2deg,omeg(2)*rad2deg,theta(3)*rad2deg,xx,yy,zz,
5352 C," --- ", xx_w,yy_w,zz_w
5355 sumene1= x(1)+ x(2)*xx+ x(3)*yy+ x(4)*zz+ x(5)*xx**2
5356 & + x(6)*yy**2+ x(7)*zz**2+ x(8)*xx*zz+ x(9)*xx*yy
5358 sumene2= x(11) + x(12)*xx + x(13)*yy + x(14)*zz + x(15)*xx**2
5359 & + x(16)*yy**2 + x(17)*zz**2 + x(18)*xx*zz + x(19)*xx*yy
5361 sumene3= x(21) +x(22)*xx +x(23)*yy +x(24)*zz +x(25)*xx**2
5362 & +x(26)*yy**2 +x(27)*zz**2 +x(28)*xx*zz +x(29)*xx*yy
5363 & +x(30)*yy*zz +x(31)*xx**3 +x(32)*yy**3 +x(33)*zz**3
5364 & +x(34)*(xx**2)*yy +x(35)*(xx**2)*zz +x(36)*(yy**2)*xx
5365 & +x(37)*(yy**2)*zz +x(38)*(zz**2)*xx +x(39)*(zz**2)*yy
5367 sumene4= x(41) +x(42)*xx +x(43)*yy +x(44)*zz +x(45)*xx**2
5368 & +x(46)*yy**2 +x(47)*zz**2 +x(48)*xx*zz +x(49)*xx*yy
5369 & +x(50)*yy*zz +x(51)*xx**3 +x(52)*yy**3 +x(53)*zz**3
5370 & +x(54)*(xx**2)*yy +x(55)*(xx**2)*zz +x(56)*(yy**2)*xx
5371 & +x(57)*(yy**2)*zz +x(58)*(zz**2)*xx +x(59)*(zz**2)*yy
5373 dsc_i = 0.743d0+x(61)
5375 dscp1=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5376 & *(xx*cost2tab(i+1)+yy*sint2tab(i+1)))
5377 dscp2=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5378 & *(xx*cost2tab(i+1)-yy*sint2tab(i+1)))
5379 s1=(1+x(63))/(0.1d0 + dscp1)
5380 s1_6=(1+x(64))/(0.1d0 + dscp1**6)
5381 s2=(1+x(65))/(0.1d0 + dscp2)
5382 s2_6=(1+x(65))/(0.1d0 + dscp2**6)
5383 sumene = ( sumene3*sint2tab(i+1) + sumene1)*(s1+s1_6)
5384 & + (sumene4*cost2tab(i+1) +sumene2)*(s2+s2_6)
5385 c write(2,'(i2," sumene",7f9.3)') i,sumene1,sumene2,sumene3,
5387 c & dscp1,dscp2,sumene
5388 c sumene = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5389 escloc = escloc + sumene
5390 c write (2,*) "i",i," escloc",sumene,escloc
5393 C This section to check the numerical derivatives of the energy of ith side
5394 C chain in xx, yy, zz, and theta. Use the -DDEBUG compiler option or insert
5395 C #define DEBUG in the code to turn it on.
5397 write (2,*) "sumene =",sumene
5401 write (2,*) xx,yy,zz
5402 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5403 de_dxx_num=(sumenep-sumene)/aincr
5405 write (2,*) "xx+ sumene from enesc=",sumenep
5408 write (2,*) xx,yy,zz
5409 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5410 de_dyy_num=(sumenep-sumene)/aincr
5412 write (2,*) "yy+ sumene from enesc=",sumenep
5415 write (2,*) xx,yy,zz
5416 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5417 de_dzz_num=(sumenep-sumene)/aincr
5419 write (2,*) "zz+ sumene from enesc=",sumenep
5420 costsave=cost2tab(i+1)
5421 sintsave=sint2tab(i+1)
5422 cost2tab(i+1)=dcos(0.5d0*(theta(i+1)+aincr))
5423 sint2tab(i+1)=dsin(0.5d0*(theta(i+1)+aincr))
5424 sumenep = enesc(x,xx,yy,zz,cost2tab(i+1),sint2tab(i+1))
5425 de_dt_num=(sumenep-sumene)/aincr
5426 write (2,*) " t+ sumene from enesc=",sumenep
5427 cost2tab(i+1)=costsave
5428 sint2tab(i+1)=sintsave
5429 C End of diagnostics section.
5432 C Compute the gradient of esc
5434 pom_s1=(1.0d0+x(63))/(0.1d0 + dscp1)**2
5435 pom_s16=6*(1.0d0+x(64))/(0.1d0 + dscp1**6)**2
5436 pom_s2=(1.0d0+x(65))/(0.1d0 + dscp2)**2
5437 pom_s26=6*(1.0d0+x(65))/(0.1d0 + dscp2**6)**2
5438 pom_dx=dsc_i*dp2_i*cost2tab(i+1)
5439 pom_dy=dsc_i*dp2_i*sint2tab(i+1)
5440 pom_dt1=-0.5d0*dsc_i*dp2_i*(xx*sint2tab(i+1)-yy*cost2tab(i+1))
5441 pom_dt2=-0.5d0*dsc_i*dp2_i*(xx*sint2tab(i+1)+yy*cost2tab(i+1))
5442 pom1=(sumene3*sint2tab(i+1)+sumene1)
5443 & *(pom_s1/dscp1+pom_s16*dscp1**4)
5444 pom2=(sumene4*cost2tab(i+1)+sumene2)
5445 & *(pom_s2/dscp2+pom_s26*dscp2**4)
5446 sumene1x=x(2)+2*x(5)*xx+x(8)*zz+ x(9)*yy
5447 sumene3x=x(22)+2*x(25)*xx+x(28)*zz+x(29)*yy+3*x(31)*xx**2
5448 & +2*x(34)*xx*yy +2*x(35)*xx*zz +x(36)*(yy**2) +x(38)*(zz**2)
5450 sumene2x=x(12)+2*x(15)*xx+x(18)*zz+ x(19)*yy
5451 sumene4x=x(42)+2*x(45)*xx +x(48)*zz +x(49)*yy +3*x(51)*xx**2
5452 & +2*x(54)*xx*yy+2*x(55)*xx*zz+x(56)*(yy**2)+x(58)*(zz**2)
5454 de_dxx =(sumene1x+sumene3x*sint2tab(i+1))*(s1+s1_6)
5455 & +(sumene2x+sumene4x*cost2tab(i+1))*(s2+s2_6)
5456 & +(pom1+pom2)*pom_dx
5458 write(2,*), "de_dxx = ", de_dxx,de_dxx_num
5461 sumene1y=x(3) + 2*x(6)*yy + x(9)*xx + x(10)*zz
5462 sumene3y=x(23) +2*x(26)*yy +x(29)*xx +x(30)*zz +3*x(32)*yy**2
5463 & +x(34)*(xx**2) +2*x(36)*yy*xx +2*x(37)*yy*zz +x(39)*(zz**2)
5465 sumene2y=x(13) + 2*x(16)*yy + x(19)*xx + x(20)*zz
5466 sumene4y=x(43)+2*x(46)*yy+x(49)*xx +x(50)*zz
5467 & +3*x(52)*yy**2+x(54)*xx**2+2*x(56)*yy*xx +2*x(57)*yy*zz
5468 & +x(59)*zz**2 +x(60)*xx*zz
5469 de_dyy =(sumene1y+sumene3y*sint2tab(i+1))*(s1+s1_6)
5470 & +(sumene2y+sumene4y*cost2tab(i+1))*(s2+s2_6)
5471 & +(pom1-pom2)*pom_dy
5473 write(2,*), "de_dyy = ", de_dyy,de_dyy_num
5476 de_dzz =(x(24) +2*x(27)*zz +x(28)*xx +x(30)*yy
5477 & +3*x(33)*zz**2 +x(35)*xx**2 +x(37)*yy**2 +2*x(38)*zz*xx
5478 & +2*x(39)*zz*yy +x(40)*xx*yy)*sint2tab(i+1)*(s1+s1_6)
5479 & +(x(4) + 2*x(7)*zz+ x(8)*xx + x(10)*yy)*(s1+s1_6)
5480 & +(x(44)+2*x(47)*zz +x(48)*xx +x(50)*yy +3*x(53)*zz**2
5481 & +x(55)*xx**2 +x(57)*(yy**2)+2*x(58)*zz*xx +2*x(59)*zz*yy
5482 & +x(60)*xx*yy)*cost2tab(i+1)*(s2+s2_6)
5483 & + ( x(14) + 2*x(17)*zz+ x(18)*xx + x(20)*yy)*(s2+s2_6)
5485 write(2,*), "de_dzz = ", de_dzz,de_dzz_num
5488 de_dt = 0.5d0*sumene3*cost2tab(i+1)*(s1+s1_6)
5489 & -0.5d0*sumene4*sint2tab(i+1)*(s2+s2_6)
5490 & +pom1*pom_dt1+pom2*pom_dt2
5492 write(2,*), "de_dt = ", de_dt,de_dt_num
5496 cossc=scalar(dc_norm(1,i),dc_norm(1,i+nres))
5497 cossc1=scalar(dc_norm(1,i-1),dc_norm(1,i+nres))
5498 cosfac2xx=cosfac2*xx
5499 sinfac2yy=sinfac2*yy
5501 dt_dCi(k) = -(dc_norm(k,i-1)+costtab(i+1)*dc_norm(k,i))*
5503 dt_dCi1(k)= -(dc_norm(k,i)+costtab(i+1)*dc_norm(k,i-1))*
5505 pom=(dC_norm(k,i+nres)-cossc*dC_norm(k,i))*vbld_inv(i+1)
5506 pom1=(dC_norm(k,i+nres)-cossc1*dC_norm(k,i-1))*vbld_inv(i)
5507 c write (iout,*) "i",i," k",k," pom",pom," pom1",pom1,
5508 c & " dt_dCi",dt_dCi(k)," dt_dCi1",dt_dCi1(k)
5509 c write (iout,*) "dC_norm",(dC_norm(j,i),j=1,3),
5510 c & (dC_norm(j,i-1),j=1,3)," vbld_inv",vbld_inv(i+1),vbld_inv(i)
5511 dXX_Ci(k)=pom*cosfac-dt_dCi(k)*cosfac2xx
5512 dXX_Ci1(k)=-pom1*cosfac-dt_dCi1(k)*cosfac2xx
5513 dYY_Ci(k)=pom*sinfac+dt_dCi(k)*sinfac2yy
5514 dYY_Ci1(k)=pom1*sinfac+dt_dCi1(k)*sinfac2yy
5518 dZZ_Ci(k)=dZZ_Ci(k)-uzgrad(j,k,2,i-1)*dC_norm(j,i+nres)
5519 dZZ_Ci1(k)=dZZ_Ci1(k)-uzgrad(j,k,1,i-1)*dC_norm(j,i+nres)
5522 dXX_XYZ(k)=vbld_inv(i+nres)*(x_prime(k)-xx*dC_norm(k,i+nres))
5523 dYY_XYZ(k)=vbld_inv(i+nres)*(y_prime(k)-yy*dC_norm(k,i+nres))
5524 dZZ_XYZ(k)=vbld_inv(i+nres)*(z_prime(k)-zz*dC_norm(k,i+nres))
5526 dt_dCi(k) = -dt_dCi(k)/sinttab(i+1)
5527 dt_dCi1(k)= -dt_dCi1(k)/sinttab(i+1)
5531 dXX_Ctab(k,i)=dXX_Ci(k)
5532 dXX_C1tab(k,i)=dXX_Ci1(k)
5533 dYY_Ctab(k,i)=dYY_Ci(k)
5534 dYY_C1tab(k,i)=dYY_Ci1(k)
5535 dZZ_Ctab(k,i)=dZZ_Ci(k)
5536 dZZ_C1tab(k,i)=dZZ_Ci1(k)
5537 dXX_XYZtab(k,i)=dXX_XYZ(k)
5538 dYY_XYZtab(k,i)=dYY_XYZ(k)
5539 dZZ_XYZtab(k,i)=dZZ_XYZ(k)
5543 c write (iout,*) "k",k," dxx_ci1",dxx_ci1(k)," dyy_ci1",
5544 c & dyy_ci1(k)," dzz_ci1",dzz_ci1(k)
5545 c write (iout,*) "k",k," dxx_ci",dxx_ci(k)," dyy_ci",
5546 c & dyy_ci(k)," dzz_ci",dzz_ci(k)
5547 c write (iout,*) "k",k," dt_dci",dt_dci(k)," dt_dci",
5549 c write (iout,*) "k",k," dxx_XYZ",dxx_XYZ(k)," dyy_XYZ",
5550 c & dyy_XYZ(k)," dzz_XYZ",dzz_XYZ(k)
5551 gscloc(k,i-1)=gscloc(k,i-1)+de_dxx*dxx_ci1(k)
5552 & +de_dyy*dyy_ci1(k)+de_dzz*dzz_ci1(k)+de_dt*dt_dCi1(k)
5553 gscloc(k,i)=gscloc(k,i)+de_dxx*dxx_Ci(k)
5554 & +de_dyy*dyy_Ci(k)+de_dzz*dzz_Ci(k)+de_dt*dt_dCi(k)
5555 gsclocx(k,i)= de_dxx*dxx_XYZ(k)
5556 & +de_dyy*dyy_XYZ(k)+de_dzz*dzz_XYZ(k)
5558 c write(iout,*) "ENERGY GRAD = ", (gscloc(k,i-1),k=1,3),
5559 c & (gscloc(k,i),k=1,3),(gsclocx(k,i),k=1,3)
5561 C to check gradient call subroutine check_grad
5567 c------------------------------------------------------------------------------
5568 double precision function enesc(x,xx,yy,zz,cost2,sint2)
5570 double precision x(65),xx,yy,zz,cost2,sint2,sumene1,sumene2,
5571 & sumene3,sumene4,sumene,dsc_i,dp2_i,dscp1,dscp2,s1,s1_6,s2,s2_6
5572 sumene1= x(1)+ x(2)*xx+ x(3)*yy+ x(4)*zz+ x(5)*xx**2
5573 & + x(6)*yy**2+ x(7)*zz**2+ x(8)*xx*zz+ x(9)*xx*yy
5575 sumene2= x(11) + x(12)*xx + x(13)*yy + x(14)*zz + x(15)*xx**2
5576 & + x(16)*yy**2 + x(17)*zz**2 + x(18)*xx*zz + x(19)*xx*yy
5578 sumene3= x(21) +x(22)*xx +x(23)*yy +x(24)*zz +x(25)*xx**2
5579 & +x(26)*yy**2 +x(27)*zz**2 +x(28)*xx*zz +x(29)*xx*yy
5580 & +x(30)*yy*zz +x(31)*xx**3 +x(32)*yy**3 +x(33)*zz**3
5581 & +x(34)*(xx**2)*yy +x(35)*(xx**2)*zz +x(36)*(yy**2)*xx
5582 & +x(37)*(yy**2)*zz +x(38)*(zz**2)*xx +x(39)*(zz**2)*yy
5584 sumene4= x(41) +x(42)*xx +x(43)*yy +x(44)*zz +x(45)*xx**2
5585 & +x(46)*yy**2 +x(47)*zz**2 +x(48)*xx*zz +x(49)*xx*yy
5586 & +x(50)*yy*zz +x(51)*xx**3 +x(52)*yy**3 +x(53)*zz**3
5587 & +x(54)*(xx**2)*yy +x(55)*(xx**2)*zz +x(56)*(yy**2)*xx
5588 & +x(57)*(yy**2)*zz +x(58)*(zz**2)*xx +x(59)*(zz**2)*yy
5590 dsc_i = 0.743d0+x(61)
5592 dscp1=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5593 & *(xx*cost2+yy*sint2))
5594 dscp2=dsqrt(dsc_i**2+dp2_i**2-2*dsc_i*dp2_i
5595 & *(xx*cost2-yy*sint2))
5596 s1=(1+x(63))/(0.1d0 + dscp1)
5597 s1_6=(1+x(64))/(0.1d0 + dscp1**6)
5598 s2=(1+x(65))/(0.1d0 + dscp2)
5599 s2_6=(1+x(65))/(0.1d0 + dscp2**6)
5600 sumene = ( sumene3*sint2 + sumene1)*(s1+s1_6)
5601 & + (sumene4*cost2 +sumene2)*(s2+s2_6)
5606 c------------------------------------------------------------------------------
5607 subroutine gcont(rij,r0ij,eps0ij,delta,fcont,fprimcont)
5609 C This procedure calculates two-body contact function g(rij) and its derivative:
5612 C g(rij) = esp0ij*(-0.9375*x+0.625*x**3-0.1875*x**5) ! -1 =< x =< 1
5615 C where x=(rij-r0ij)/delta
5617 C rij - interbody distance, r0ij - contact distance, eps0ij - contact energy
5620 double precision rij,r0ij,eps0ij,fcont,fprimcont
5621 double precision x,x2,x4,delta
5625 if (x.lt.-1.0D0) then
5628 else if (x.le.1.0D0) then
5631 fcont=eps0ij*(x*(-0.9375D0+0.6250D0*x2-0.1875D0*x4)+0.5D0)
5632 fprimcont=eps0ij * (-0.9375D0+1.8750D0*x2-0.9375D0*x4)/delta
5639 c------------------------------------------------------------------------------
5640 subroutine splinthet(theti,delta,ss,ssder)
5641 implicit real*8 (a-h,o-z)
5642 include 'DIMENSIONS'
5643 include 'COMMON.VAR'
5644 include 'COMMON.GEO'
5647 if (theti.gt.pipol) then
5648 call gcont(theti,thetup,1.0d0,delta,ss,ssder)
5650 call gcont(-theti,-thetlow,1.0d0,delta,ss,ssder)
5655 c------------------------------------------------------------------------------
5656 subroutine spline1(x,x0,delta,f0,f1,fprim0,f,fprim)
5658 double precision x,x0,delta,f0,f1,fprim0,f,fprim
5659 double precision ksi,ksi2,ksi3,a1,a2,a3
5660 a1=fprim0*delta/(f1-f0)
5666 f=f0+(f1-f0)*ksi*(a1+ksi*(a2+a3*ksi))
5667 fprim=(f1-f0)/delta*(a1+ksi*(2*a2+3*ksi*a3))
5670 c------------------------------------------------------------------------------
5671 subroutine spline2(x,x0,delta,f0x,f1x,fprim0x,fx)
5673 double precision x,x0,delta,f0x,f1x,fprim0x,fx
5674 double precision ksi,ksi2,ksi3,a1,a2,a3
5679 a2=3*(f1x-f0x)-2*fprim0x*delta
5680 a3=fprim0x*delta-2*(f1x-f0x)
5681 fx=f0x+a1*ksi+a2*ksi2+a3*ksi3
5684 C-----------------------------------------------------------------------------
5686 C-----------------------------------------------------------------------------
5687 subroutine etor(etors,edihcnstr)
5688 implicit real*8 (a-h,o-z)
5689 include 'DIMENSIONS'
5690 include 'COMMON.VAR'
5691 include 'COMMON.GEO'
5692 include 'COMMON.LOCAL'
5693 include 'COMMON.TORSION'
5694 include 'COMMON.INTERACT'
5695 include 'COMMON.DERIV'
5696 include 'COMMON.CHAIN'
5697 include 'COMMON.NAMES'
5698 include 'COMMON.IOUNITS'
5699 include 'COMMON.FFIELD'
5700 include 'COMMON.TORCNSTR'
5701 include 'COMMON.CONTROL'
5703 C Set lprn=.true. for debugging
5707 do i=iphi_start,iphi_end
5709 itori=itortyp(itype(i-2))
5710 itori1=itortyp(itype(i-1))
5713 C Proline-Proline pair is a special case...
5714 if (itori.eq.3 .and. itori1.eq.3) then
5715 if (phii.gt.-dwapi3) then
5717 fac=1.0D0/(1.0D0-cosphi)
5718 etorsi=v1(1,3,3)*fac
5719 etorsi=etorsi+etorsi
5720 etors=etors+etorsi-v1(1,3,3)
5721 if (energy_dec) etors_ii=etors_ii+etorsi-v1(1,3,3)
5722 gloci=gloci-3*fac*etorsi*dsin(3*phii)
5725 v1ij=v1(j+1,itori,itori1)
5726 v2ij=v2(j+1,itori,itori1)
5729 etors=etors+v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5730 if (energy_dec) etors_ii=etors_ii+
5731 & v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5732 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5736 v1ij=v1(j,itori,itori1)
5737 v2ij=v2(j,itori,itori1)
5740 etors=etors+v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5741 if (energy_dec) etors_ii=etors_ii+
5742 & v1ij*cosphi+v2ij*sinphi+dabs(v1ij)+dabs(v2ij)
5743 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5746 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5749 & write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
5750 & restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
5751 & (v1(j,itori,itori1),j=1,6),(v2(j,itori,itori1),j=1,6)
5752 gloc(i-3,icg)=gloc(i-3,icg)+wtor*gloci
5753 write (iout,*) 'i=',i,' gloc=',gloc(i-3,icg)
5755 ! 6/20/98 - dihedral angle constraints
5758 itori=idih_constr(i)
5761 if (difi.gt.drange(i)) then
5763 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5764 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5765 else if (difi.lt.-drange(i)) then
5767 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5768 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5770 ! write (iout,'(2i5,2f8.3,2e14.5)') i,itori,rad2deg*phii,
5771 ! & rad2deg*difi,0.25d0*ftors*difi**4,gloc(itori-3,icg)
5773 ! write (iout,*) 'edihcnstr',edihcnstr
5776 c------------------------------------------------------------------------------
5777 subroutine etor_d(etors_d)
5781 c----------------------------------------------------------------------------
5783 subroutine etor(etors,edihcnstr)
5784 implicit real*8 (a-h,o-z)
5785 include 'DIMENSIONS'
5786 include 'COMMON.VAR'
5787 include 'COMMON.GEO'
5788 include 'COMMON.LOCAL'
5789 include 'COMMON.TORSION'
5790 include 'COMMON.INTERACT'
5791 include 'COMMON.DERIV'
5792 include 'COMMON.CHAIN'
5793 include 'COMMON.NAMES'
5794 include 'COMMON.IOUNITS'
5795 include 'COMMON.FFIELD'
5796 include 'COMMON.TORCNSTR'
5797 include 'COMMON.CONTROL'
5799 C Set lprn=.true. for debugging
5803 do i=iphi_start,iphi_end
5805 itori=itortyp(itype(i-2))
5806 itori1=itortyp(itype(i-1))
5809 C Regular cosine and sine terms
5810 do j=1,nterm(itori,itori1)
5811 v1ij=v1(j,itori,itori1)
5812 v2ij=v2(j,itori,itori1)
5815 etors=etors+v1ij*cosphi+v2ij*sinphi
5816 if (energy_dec) etors_ii=etors_ii+
5817 & v1ij*cosphi+v2ij*sinphi
5818 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
5822 C E = SUM ----------------------------------- - v1
5823 C [v2 cos(phi/2)+v3 sin(phi/2)]^2 + 1
5825 cosphi=dcos(0.5d0*phii)
5826 sinphi=dsin(0.5d0*phii)
5827 do j=1,nlor(itori,itori1)
5828 vl1ij=vlor1(j,itori,itori1)
5829 vl2ij=vlor2(j,itori,itori1)
5830 vl3ij=vlor3(j,itori,itori1)
5831 pom=vl2ij*cosphi+vl3ij*sinphi
5832 pom1=1.0d0/(pom*pom+1.0d0)
5833 etors=etors+vl1ij*pom1
5834 if (energy_dec) etors_ii=etors_ii+
5837 gloci=gloci+vl1ij*(vl3ij*cosphi-vl2ij*sinphi)*pom
5839 C Subtract the constant term
5840 etors=etors-v0(itori,itori1)
5841 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5842 & 'etor',i,etors_ii-v0(itori,itori1)
5844 & write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
5845 & restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
5846 & (v1(j,itori,itori1),j=1,6),(v2(j,itori,itori1),j=1,6)
5847 gloc(i-3,icg)=gloc(i-3,icg)+wtor*gloci
5848 c write (iout,*) 'i=',i,' gloc=',gloc(i-3,icg)
5850 ! 6/20/98 - dihedral angle constraints
5852 c do i=1,ndih_constr
5853 do i=idihconstr_start,idihconstr_end
5854 itori=idih_constr(i)
5856 difi=pinorm(phii-phi0(i))
5857 if (difi.gt.drange(i)) then
5859 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5860 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5861 else if (difi.lt.-drange(i)) then
5863 edihcnstr=edihcnstr+0.25d0*ftors*difi**4
5864 gloc(itori-3,icg)=gloc(itori-3,icg)+ftors*difi**3
5868 c write (iout,*) "gloci", gloc(i-3,icg)
5869 cd write (iout,'(2i5,4f8.3,2e14.5)') i,itori,rad2deg*phii,
5870 cd & rad2deg*phi0(i), rad2deg*drange(i),
5871 cd & rad2deg*difi,0.25d0*ftors*difi**4,gloc(itori-3,icg)
5873 cd write (iout,*) 'edihcnstr',edihcnstr
5876 c----------------------------------------------------------------------------
5877 subroutine etor_d(etors_d)
5878 C 6/23/01 Compute double torsional energy
5879 implicit real*8 (a-h,o-z)
5880 include 'DIMENSIONS'
5881 include 'COMMON.VAR'
5882 include 'COMMON.GEO'
5883 include 'COMMON.LOCAL'
5884 include 'COMMON.TORSION'
5885 include 'COMMON.INTERACT'
5886 include 'COMMON.DERIV'
5887 include 'COMMON.CHAIN'
5888 include 'COMMON.NAMES'
5889 include 'COMMON.IOUNITS'
5890 include 'COMMON.FFIELD'
5891 include 'COMMON.TORCNSTR'
5892 include 'COMMON.CONTROL'
5894 C Set lprn=.true. for debugging
5898 do i=iphid_start,iphid_end
5900 itori=itortyp(itype(i-2))
5901 itori1=itortyp(itype(i-1))
5902 itori2=itortyp(itype(i))
5907 do j=1,ntermd_1(itori,itori1,itori2)
5908 v1cij=v1c(1,j,itori,itori1,itori2)
5909 v1sij=v1s(1,j,itori,itori1,itori2)
5910 v2cij=v1c(2,j,itori,itori1,itori2)
5911 v2sij=v1s(2,j,itori,itori1,itori2)
5912 cosphi1=dcos(j*phii)
5913 sinphi1=dsin(j*phii)
5914 cosphi2=dcos(j*phii1)
5915 sinphi2=dsin(j*phii1)
5916 etors_d=etors_d+v1cij*cosphi1+v1sij*sinphi1+
5917 & v2cij*cosphi2+v2sij*sinphi2
5918 if (energy_dec) etors_d_ii=etors_d_ii+
5919 & v1cij*cosphi1+v1sij*sinphi1+v2cij*cosphi2+v2sij*sinphi2
5920 gloci1=gloci1+j*(v1sij*cosphi1-v1cij*sinphi1)
5921 gloci2=gloci2+j*(v2sij*cosphi2-v2cij*sinphi2)
5923 do k=2,ntermd_2(itori,itori1,itori2)
5925 v1cdij = v2c(k,l,itori,itori1,itori2)
5926 v2cdij = v2c(l,k,itori,itori1,itori2)
5927 v1sdij = v2s(k,l,itori,itori1,itori2)
5928 v2sdij = v2s(l,k,itori,itori1,itori2)
5929 cosphi1p2=dcos(l*phii+(k-l)*phii1)
5930 cosphi1m2=dcos(l*phii-(k-l)*phii1)
5931 sinphi1p2=dsin(l*phii+(k-l)*phii1)
5932 sinphi1m2=dsin(l*phii-(k-l)*phii1)
5933 etors_d=etors_d+v1cdij*cosphi1p2+v2cdij*cosphi1m2+
5934 & v1sdij*sinphi1p2+v2sdij*sinphi1m2
5935 if (energy_dec) etors_d_ii=etors_d_ii+
5936 & v1cdij*cosphi1p2+v2cdij*cosphi1m2+
5937 & v1sdij*sinphi1p2+v2sdij*sinphi1m2
5938 gloci1=gloci1+l*(v1sdij*cosphi1p2+v2sdij*cosphi1m2
5939 & -v1cdij*sinphi1p2-v2cdij*sinphi1m2)
5940 gloci2=gloci2+(k-l)*(v1sdij*cosphi1p2-v2sdij*cosphi1m2
5941 & -v1cdij*sinphi1p2+v2cdij*sinphi1m2)
5944 if (energy_dec) write (iout,'(a6,i5,0pf7.3)')
5945 & 'etor_d',i,etors_d_ii
5946 gloc(i-3,icg)=gloc(i-3,icg)+wtor_d*gloci1
5947 gloc(i-2,icg)=gloc(i-2,icg)+wtor_d*gloci2
5948 c write (iout,*) "gloci", gloc(i-3,icg)
5953 c------------------------------------------------------------------------------
5954 subroutine eback_sc_corr(esccor)
5955 c 7/21/2007 Correlations between the backbone-local and side-chain-local
5956 c conformational states; temporarily implemented as differences
5957 c between UNRES torsional potentials (dependent on three types of
5958 c residues) and the torsional potentials dependent on all 20 types
5959 c of residues computed from AM1 energy surfaces of terminally-blocked
5960 c amino-acid residues.
5961 implicit real*8 (a-h,o-z)
5962 include 'DIMENSIONS'
5963 include 'COMMON.VAR'
5964 include 'COMMON.GEO'
5965 include 'COMMON.LOCAL'
5966 include 'COMMON.TORSION'
5967 include 'COMMON.SCCOR'
5968 include 'COMMON.INTERACT'
5969 include 'COMMON.DERIV'
5970 include 'COMMON.CHAIN'
5971 include 'COMMON.NAMES'
5972 include 'COMMON.IOUNITS'
5973 include 'COMMON.FFIELD'
5974 include 'COMMON.CONTROL'
5976 C Set lprn=.true. for debugging
5979 c write (iout,*) "EBACK_SC_COR",iphi_start,iphi_end,nterm_sccor
5981 do i=itau_start,itau_end
5984 if ((itype(i-2).eq.ntyp1).or.(itype(i-1).eq.ntyp1)) cycle
5985 isccori=isccortyp(itype(i-2))
5986 isccori1=isccortyp(itype(i-1))
5989 cccc Added 9 May 2012
5990 cc Tauangle is torsional engle depending on the value of first digit
5991 c(see comment below)
5992 cc Omicron is flat angle depending on the value of first digit
5993 c(see comment below)
5994 C print *,i,tauangle(1,i)
5996 c do intertyp=1,3 !intertyp
5997 do intertyp=2,2 !intertyp
5998 cc Added 09 May 2012 (Adasko)
5999 cc Intertyp means interaction type of backbone mainchain correlation:
6000 c 1 = SC...Ca...Ca...Ca
6001 c 2 = Ca...Ca...Ca...SC
6002 c 3 = SC...Ca...Ca...SCi
6004 if (((intertyp.eq.3).and.((itype(i-2).eq.10).or.
6005 & (itype(i-1).eq.10).or.(itype(i-2).eq.21).or.
6006 & (itype(i-1).eq.21)))
6007 & .or. ((intertyp.eq.1).and.((itype(i-2).eq.10)
6008 & .or.(itype(i-2).eq.21)))
6009 & .or.((intertyp.eq.2).and.((itype(i-1).eq.10).or.
6010 & (itype(i-1).eq.21)))) cycle
6011 if ((intertyp.eq.2).and.(i.eq.4).and.(itype(1).eq.21)) cycle
6012 if ((intertyp.eq.1).and.(i.eq.nres).and.(itype(nres).eq.21))
6014 do j=1,nterm_sccor(isccori,isccori1)
6015 v1ij=v1sccor(j,intertyp,isccori,isccori1)
6016 v2ij=v2sccor(j,intertyp,isccori,isccori1)
6017 cosphi=dcos(j*tauangle(intertyp,i))
6018 sinphi=dsin(j*tauangle(intertyp,i))
6019 esccor=esccor+v1ij*cosphi+v2ij*sinphi
6020 gloci=gloci+j*(v2ij*cosphi-v1ij*sinphi)
6022 C print *,i,tauangle(1,i),gloci
6023 gloc_sc(intertyp,i-3,icg)=gloc_sc(intertyp,i-3,icg)+wsccor*gloci
6024 c write (iout,*) "WTF",intertyp,i,itype(i),v1ij*cosphi+v2ij*sinphi
6025 c &gloc_sc(intertyp,i-3,icg)
6027 & write (iout,'(2(a3,2x,i3,2x),2i3,6f8.3/26x,6f8.3/)')
6028 & restyp(itype(i-2)),i-2,restyp(itype(i-1)),i-1,itori,itori1,
6029 & (v1sccor(j,intertyp,itori,itori1),j=1,6)
6030 & ,(v2sccor(j,intertyp,itori,itori1),j=1,6)
6031 gsccor_loc(i-3)=gsccor_loc(i-3)+gloci
6035 c write (iout,*) "W@T@F", gloc_sc(1,i,icg),gloc_sc(2,i,icg),
6036 c & gloc_sc(3,i,icg)
6040 c----------------------------------------------------------------------------
6041 subroutine multibody(ecorr)
6042 C This subroutine calculates multi-body contributions to energy following
6043 C the idea of Skolnick et al. If side chains I and J make a contact and
6044 C at the same time side chains I+1 and J+1 make a contact, an extra
6045 C contribution equal to sqrt(eps(i,j)*eps(i+1,j+1)) is added.
6046 implicit real*8 (a-h,o-z)
6047 include 'DIMENSIONS'
6048 include 'COMMON.IOUNITS'
6049 include 'COMMON.DERIV'
6050 include 'COMMON.INTERACT'
6051 include 'COMMON.CONTACTS'
6052 double precision gx(3),gx1(3)
6055 C Set lprn=.true. for debugging
6059 write (iout,'(a)') 'Contact function values:'
6061 write (iout,'(i2,20(1x,i2,f10.5))')
6062 & i,(jcont(j,i),facont(j,i),j=1,num_cont(i))
6077 num_conti=num_cont(i)
6078 num_conti1=num_cont(i1)
6083 if (j1.eq.j+ishift .or. j1.eq.j-ishift) then
6084 cd write(iout,*)'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6085 cd & ' ishift=',ishift
6086 C Contacts I--J and I+ISHIFT--J+-ISHIFT1 occur simultaneously.
6087 C The system gains extra energy.
6088 ecorr=ecorr+esccorr(i,j,i1,j1,jj,kk)
6089 endif ! j1==j+-ishift
6098 c------------------------------------------------------------------------------
6099 double precision function esccorr(i,j,k,l,jj,kk)
6100 implicit real*8 (a-h,o-z)
6101 include 'DIMENSIONS'
6102 include 'COMMON.IOUNITS'
6103 include 'COMMON.DERIV'
6104 include 'COMMON.INTERACT'
6105 include 'COMMON.CONTACTS'
6106 double precision gx(3),gx1(3)
6111 cd write (iout,'(4i5,3f10.5)') i,j,k,l,eij,ekl,-eij*ekl
6112 C Calculate the multi-body contribution to energy.
6113 C Calculate multi-body contributions to the gradient.
6114 cd write (iout,'(2(2i3,3f10.5))')i,j,(gacont(m,jj,i),m=1,3),
6115 cd & k,l,(gacont(m,kk,k),m=1,3)
6117 gx(m) =ekl*gacont(m,jj,i)
6118 gx1(m)=eij*gacont(m,kk,k)
6119 gradxorr(m,i)=gradxorr(m,i)-gx(m)
6120 gradxorr(m,j)=gradxorr(m,j)+gx(m)
6121 gradxorr(m,k)=gradxorr(m,k)-gx1(m)
6122 gradxorr(m,l)=gradxorr(m,l)+gx1(m)
6126 gradcorr(ll,m)=gradcorr(ll,m)+gx(ll)
6131 gradcorr(ll,m)=gradcorr(ll,m)+gx1(ll)
6137 c------------------------------------------------------------------------------
6138 subroutine multibody_hb(ecorr,ecorr5,ecorr6,n_corr,n_corr1)
6139 C This subroutine calculates multi-body contributions to hydrogen-bonding
6140 implicit real*8 (a-h,o-z)
6141 include 'DIMENSIONS'
6142 include 'COMMON.IOUNITS'
6145 parameter (max_cont=maxconts)
6146 parameter (max_dim=26)
6147 integer source,CorrelType,CorrelID,CorrelType1,CorrelID1,Error
6148 double precision zapas(max_dim,maxconts,max_fg_procs),
6149 & zapas_recv(max_dim,maxconts,max_fg_procs)
6150 common /przechowalnia/ zapas
6151 integer status(MPI_STATUS_SIZE),req(maxconts*2),
6152 & status_array(MPI_STATUS_SIZE,maxconts*2)
6154 include 'COMMON.SETUP'
6155 include 'COMMON.FFIELD'
6156 include 'COMMON.DERIV'
6157 include 'COMMON.INTERACT'
6158 include 'COMMON.CONTACTS'
6159 include 'COMMON.CONTROL'
6160 include 'COMMON.LOCAL'
6161 double precision gx(3),gx1(3),time00
6164 C Set lprn=.true. for debugging
6169 if (nfgtasks.le.1) goto 30
6171 write (iout,'(a)') 'Contact function values before RECEIVE:'
6173 write (iout,'(2i3,50(1x,i2,f5.2))')
6174 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6175 & j=1,num_cont_hb(i))
6179 do i=1,ntask_cont_from
6182 do i=1,ntask_cont_to
6185 c write (iout,*) "ntask_cont_from",ntask_cont_from," ntask_cont_to",
6187 C Make the list of contacts to send to send to other procesors
6188 c write (iout,*) "limits",max0(iturn4_end-1,iatel_s),iturn3_end
6190 do i=iturn3_start,iturn3_end
6191 c write (iout,*) "make contact list turn3",i," num_cont",
6193 call add_hb_contact(i,i+2,iturn3_sent_local(1,i))
6195 do i=iturn4_start,iturn4_end
6196 c write (iout,*) "make contact list turn4",i," num_cont",
6198 call add_hb_contact(i,i+3,iturn4_sent_local(1,i))
6202 c write (iout,*) "make contact list longrange",i,ii," num_cont",
6204 do j=1,num_cont_hb(i)
6207 iproc=iint_sent_local(k,jjc,ii)
6208 c write (iout,*) "i",i," j",j," k",k," jjc",jjc," iproc",iproc
6209 if (iproc.gt.0) then
6210 ncont_sent(iproc)=ncont_sent(iproc)+1
6211 nn=ncont_sent(iproc)
6213 zapas(2,nn,iproc)=jjc
6214 zapas(3,nn,iproc)=facont_hb(j,i)
6215 zapas(4,nn,iproc)=ees0p(j,i)
6216 zapas(5,nn,iproc)=ees0m(j,i)
6217 zapas(6,nn,iproc)=gacont_hbr(1,j,i)
6218 zapas(7,nn,iproc)=gacont_hbr(2,j,i)
6219 zapas(8,nn,iproc)=gacont_hbr(3,j,i)
6220 zapas(9,nn,iproc)=gacontm_hb1(1,j,i)
6221 zapas(10,nn,iproc)=gacontm_hb1(2,j,i)
6222 zapas(11,nn,iproc)=gacontm_hb1(3,j,i)
6223 zapas(12,nn,iproc)=gacontp_hb1(1,j,i)
6224 zapas(13,nn,iproc)=gacontp_hb1(2,j,i)
6225 zapas(14,nn,iproc)=gacontp_hb1(3,j,i)
6226 zapas(15,nn,iproc)=gacontm_hb2(1,j,i)
6227 zapas(16,nn,iproc)=gacontm_hb2(2,j,i)
6228 zapas(17,nn,iproc)=gacontm_hb2(3,j,i)
6229 zapas(18,nn,iproc)=gacontp_hb2(1,j,i)
6230 zapas(19,nn,iproc)=gacontp_hb2(2,j,i)
6231 zapas(20,nn,iproc)=gacontp_hb2(3,j,i)
6232 zapas(21,nn,iproc)=gacontm_hb3(1,j,i)
6233 zapas(22,nn,iproc)=gacontm_hb3(2,j,i)
6234 zapas(23,nn,iproc)=gacontm_hb3(3,j,i)
6235 zapas(24,nn,iproc)=gacontp_hb3(1,j,i)
6236 zapas(25,nn,iproc)=gacontp_hb3(2,j,i)
6237 zapas(26,nn,iproc)=gacontp_hb3(3,j,i)
6244 & "Numbers of contacts to be sent to other processors",
6245 & (ncont_sent(i),i=1,ntask_cont_to)
6246 write (iout,*) "Contacts sent"
6247 do ii=1,ntask_cont_to
6249 iproc=itask_cont_to(ii)
6250 write (iout,*) nn," contacts to processor",iproc,
6251 & " of CONT_TO_COMM group"
6253 write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
6261 CorrelID1=nfgtasks+fg_rank+1
6263 C Receive the numbers of needed contacts from other processors
6264 do ii=1,ntask_cont_from
6265 iproc=itask_cont_from(ii)
6267 call MPI_Irecv(ncont_recv(ii),1,MPI_INTEGER,iproc,CorrelType,
6268 & FG_COMM,req(ireq),IERR)
6270 c write (iout,*) "IRECV ended"
6272 C Send the number of contacts needed by other processors
6273 do ii=1,ntask_cont_to
6274 iproc=itask_cont_to(ii)
6276 call MPI_Isend(ncont_sent(ii),1,MPI_INTEGER,iproc,CorrelType,
6277 & FG_COMM,req(ireq),IERR)
6279 c write (iout,*) "ISEND ended"
6280 c write (iout,*) "number of requests (nn)",ireq
6283 & call MPI_Waitall(ireq,req,status_array,ierr)
6285 c & "Numbers of contacts to be received from other processors",
6286 c & (ncont_recv(i),i=1,ntask_cont_from)
6290 do ii=1,ntask_cont_from
6291 iproc=itask_cont_from(ii)
6293 c write (iout,*) "Receiving",nn," contacts from processor",iproc,
6294 c & " of CONT_TO_COMM group"
6298 call MPI_Irecv(zapas_recv(1,1,ii),nn*max_dim,
6299 & MPI_DOUBLE_PRECISION,iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6300 c write (iout,*) "ireq,req",ireq,req(ireq)
6303 C Send the contacts to processors that need them
6304 do ii=1,ntask_cont_to
6305 iproc=itask_cont_to(ii)
6307 c write (iout,*) nn," contacts to processor",iproc,
6308 c & " of CONT_TO_COMM group"
6311 call MPI_Isend(zapas(1,1,ii),nn*max_dim,MPI_DOUBLE_PRECISION,
6312 & iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6313 c write (iout,*) "ireq,req",ireq,req(ireq)
6315 c write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
6319 c write (iout,*) "number of requests (contacts)",ireq
6320 c write (iout,*) "req",(req(i),i=1,4)
6323 & call MPI_Waitall(ireq,req,status_array,ierr)
6324 do iii=1,ntask_cont_from
6325 iproc=itask_cont_from(iii)
6328 write (iout,*) "Received",nn," contacts from processor",iproc,
6329 & " of CONT_FROM_COMM group"
6332 write(iout,'(2f5.0,4f10.5)')(zapas_recv(j,i,iii),j=1,5)
6337 ii=zapas_recv(1,i,iii)
6338 c Flag the received contacts to prevent double-counting
6339 jj=-zapas_recv(2,i,iii)
6340 c write (iout,*) "iii",iii," i",i," ii",ii," jj",jj
6342 nnn=num_cont_hb(ii)+1
6345 facont_hb(nnn,ii)=zapas_recv(3,i,iii)
6346 ees0p(nnn,ii)=zapas_recv(4,i,iii)
6347 ees0m(nnn,ii)=zapas_recv(5,i,iii)
6348 gacont_hbr(1,nnn,ii)=zapas_recv(6,i,iii)
6349 gacont_hbr(2,nnn,ii)=zapas_recv(7,i,iii)
6350 gacont_hbr(3,nnn,ii)=zapas_recv(8,i,iii)
6351 gacontm_hb1(1,nnn,ii)=zapas_recv(9,i,iii)
6352 gacontm_hb1(2,nnn,ii)=zapas_recv(10,i,iii)
6353 gacontm_hb1(3,nnn,ii)=zapas_recv(11,i,iii)
6354 gacontp_hb1(1,nnn,ii)=zapas_recv(12,i,iii)
6355 gacontp_hb1(2,nnn,ii)=zapas_recv(13,i,iii)
6356 gacontp_hb1(3,nnn,ii)=zapas_recv(14,i,iii)
6357 gacontm_hb2(1,nnn,ii)=zapas_recv(15,i,iii)
6358 gacontm_hb2(2,nnn,ii)=zapas_recv(16,i,iii)
6359 gacontm_hb2(3,nnn,ii)=zapas_recv(17,i,iii)
6360 gacontp_hb2(1,nnn,ii)=zapas_recv(18,i,iii)
6361 gacontp_hb2(2,nnn,ii)=zapas_recv(19,i,iii)
6362 gacontp_hb2(3,nnn,ii)=zapas_recv(20,i,iii)
6363 gacontm_hb3(1,nnn,ii)=zapas_recv(21,i,iii)
6364 gacontm_hb3(2,nnn,ii)=zapas_recv(22,i,iii)
6365 gacontm_hb3(3,nnn,ii)=zapas_recv(23,i,iii)
6366 gacontp_hb3(1,nnn,ii)=zapas_recv(24,i,iii)
6367 gacontp_hb3(2,nnn,ii)=zapas_recv(25,i,iii)
6368 gacontp_hb3(3,nnn,ii)=zapas_recv(26,i,iii)
6373 write (iout,'(a)') 'Contact function values after receive:'
6375 write (iout,'(2i3,50(1x,i3,f5.2))')
6376 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6377 & j=1,num_cont_hb(i))
6384 write (iout,'(a)') 'Contact function values:'
6386 write (iout,'(2i3,50(1x,i3,f5.2))')
6387 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6388 & j=1,num_cont_hb(i))
6392 C Remove the loop below after debugging !!!
6399 C Calculate the local-electrostatic correlation terms
6400 do i=min0(iatel_s,iturn4_start),max0(iatel_e,iturn3_end)
6402 num_conti=num_cont_hb(i)
6403 num_conti1=num_cont_hb(i+1)
6410 c write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6411 c & ' jj=',jj,' kk=',kk
6412 if ((j.gt.0 .and. j1.gt.0 .or. j.gt.0 .and. j1.lt.0
6413 & .or. j.lt.0 .and. j1.gt.0) .and.
6414 & (jp1.eq.jp+1 .or. jp1.eq.jp-1)) then
6415 C Contacts I-J and (I+1)-(J+1) or (I+1)-(J-1) occur simultaneously.
6416 C The system gains extra energy.
6417 ecorr=ecorr+ehbcorr(i,jp,i+1,jp1,jj,kk,0.72D0,0.32D0)
6418 if (energy_dec) write (iout,'(a6,2i5,0pf7.3)')
6419 & 'ecorrh',i,j,ehbcorr(i,j,i+1,j1,jj,kk,0.72D0,0.32D0)
6421 else if (j1.eq.j) then
6422 C Contacts I-J and I-(J+1) occur simultaneously.
6423 C The system loses extra energy.
6424 c ecorr=ecorr+ehbcorr(i,j,i+1,j,jj,kk,0.60D0,-0.40D0)
6429 c write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6430 c & ' jj=',jj,' kk=',kk
6432 C Contacts I-J and (I+1)-J occur simultaneously.
6433 C The system loses extra energy.
6434 c ecorr=ecorr+ehbcorr(i,j,i,j+1,jj,kk,0.60D0,-0.40D0)
6441 c------------------------------------------------------------------------------
6442 subroutine add_hb_contact(ii,jj,itask)
6443 implicit real*8 (a-h,o-z)
6444 include "DIMENSIONS"
6445 include "COMMON.IOUNITS"
6448 parameter (max_cont=maxconts)
6449 parameter (max_dim=26)
6450 include "COMMON.CONTACTS"
6451 double precision zapas(max_dim,maxconts,max_fg_procs),
6452 & zapas_recv(max_dim,maxconts,max_fg_procs)
6453 common /przechowalnia/ zapas
6454 integer i,j,ii,jj,iproc,itask(4),nn
6455 c write (iout,*) "itask",itask
6458 if (iproc.gt.0) then
6459 do j=1,num_cont_hb(ii)
6461 c write (iout,*) "i",ii," j",jj," jjc",jjc
6463 ncont_sent(iproc)=ncont_sent(iproc)+1
6464 nn=ncont_sent(iproc)
6465 zapas(1,nn,iproc)=ii
6466 zapas(2,nn,iproc)=jjc
6467 zapas(3,nn,iproc)=facont_hb(j,ii)
6468 zapas(4,nn,iproc)=ees0p(j,ii)
6469 zapas(5,nn,iproc)=ees0m(j,ii)
6470 zapas(6,nn,iproc)=gacont_hbr(1,j,ii)
6471 zapas(7,nn,iproc)=gacont_hbr(2,j,ii)
6472 zapas(8,nn,iproc)=gacont_hbr(3,j,ii)
6473 zapas(9,nn,iproc)=gacontm_hb1(1,j,ii)
6474 zapas(10,nn,iproc)=gacontm_hb1(2,j,ii)
6475 zapas(11,nn,iproc)=gacontm_hb1(3,j,ii)
6476 zapas(12,nn,iproc)=gacontp_hb1(1,j,ii)
6477 zapas(13,nn,iproc)=gacontp_hb1(2,j,ii)
6478 zapas(14,nn,iproc)=gacontp_hb1(3,j,ii)
6479 zapas(15,nn,iproc)=gacontm_hb2(1,j,ii)
6480 zapas(16,nn,iproc)=gacontm_hb2(2,j,ii)
6481 zapas(17,nn,iproc)=gacontm_hb2(3,j,ii)
6482 zapas(18,nn,iproc)=gacontp_hb2(1,j,ii)
6483 zapas(19,nn,iproc)=gacontp_hb2(2,j,ii)
6484 zapas(20,nn,iproc)=gacontp_hb2(3,j,ii)
6485 zapas(21,nn,iproc)=gacontm_hb3(1,j,ii)
6486 zapas(22,nn,iproc)=gacontm_hb3(2,j,ii)
6487 zapas(23,nn,iproc)=gacontm_hb3(3,j,ii)
6488 zapas(24,nn,iproc)=gacontp_hb3(1,j,ii)
6489 zapas(25,nn,iproc)=gacontp_hb3(2,j,ii)
6490 zapas(26,nn,iproc)=gacontp_hb3(3,j,ii)
6498 c------------------------------------------------------------------------------
6499 subroutine multibody_eello(ecorr,ecorr5,ecorr6,eturn6,n_corr,
6501 C This subroutine calculates multi-body contributions to hydrogen-bonding
6502 implicit real*8 (a-h,o-z)
6503 include 'DIMENSIONS'
6504 include 'COMMON.IOUNITS'
6507 parameter (max_cont=maxconts)
6508 parameter (max_dim=70)
6509 integer source,CorrelType,CorrelID,CorrelType1,CorrelID1,Error
6510 double precision zapas(max_dim,maxconts,max_fg_procs),
6511 & zapas_recv(max_dim,maxconts,max_fg_procs)
6512 common /przechowalnia/ zapas
6513 integer status(MPI_STATUS_SIZE),req(maxconts*2),
6514 & status_array(MPI_STATUS_SIZE,maxconts*2)
6516 include 'COMMON.SETUP'
6517 include 'COMMON.FFIELD'
6518 include 'COMMON.DERIV'
6519 include 'COMMON.LOCAL'
6520 include 'COMMON.INTERACT'
6521 include 'COMMON.CONTACTS'
6522 include 'COMMON.CHAIN'
6523 include 'COMMON.CONTROL'
6524 double precision gx(3),gx1(3)
6525 integer num_cont_hb_old(maxres)
6527 double precision eello4,eello5,eelo6,eello_turn6
6528 external eello4,eello5,eello6,eello_turn6
6529 C Set lprn=.true. for debugging
6534 num_cont_hb_old(i)=num_cont_hb(i)
6538 if (nfgtasks.le.1) goto 30
6540 write (iout,'(a)') 'Contact function values before RECEIVE:'
6542 write (iout,'(2i3,50(1x,i2,f5.2))')
6543 & i,num_cont_hb(i),(jcont_hb(j,i),facont_hb(j,i),
6544 & j=1,num_cont_hb(i))
6548 do i=1,ntask_cont_from
6551 do i=1,ntask_cont_to
6554 c write (iout,*) "ntask_cont_from",ntask_cont_from," ntask_cont_to",
6556 C Make the list of contacts to send to send to other procesors
6557 do i=iturn3_start,iturn3_end
6558 c write (iout,*) "make contact list turn3",i," num_cont",
6560 call add_hb_contact_eello(i,i+2,iturn3_sent_local(1,i))
6562 do i=iturn4_start,iturn4_end
6563 c write (iout,*) "make contact list turn4",i," num_cont",
6565 call add_hb_contact_eello(i,i+3,iturn4_sent_local(1,i))
6569 c write (iout,*) "make contact list longrange",i,ii," num_cont",
6571 do j=1,num_cont_hb(i)
6574 iproc=iint_sent_local(k,jjc,ii)
6575 c write (iout,*) "i",i," j",j," k",k," jjc",jjc," iproc",iproc
6576 if (iproc.ne.0) then
6577 ncont_sent(iproc)=ncont_sent(iproc)+1
6578 nn=ncont_sent(iproc)
6580 zapas(2,nn,iproc)=jjc
6581 zapas(3,nn,iproc)=d_cont(j,i)
6585 zapas(ind,nn,iproc)=grij_hb_cont(kk,j,i)
6590 zapas(ind,nn,iproc)=a_chuj(ll,kk,j,i)
6598 zapas(ind,nn,iproc)=a_chuj_der(mm,ll,kk,jj,j,i)
6609 & "Numbers of contacts to be sent to other processors",
6610 & (ncont_sent(i),i=1,ntask_cont_to)
6611 write (iout,*) "Contacts sent"
6612 do ii=1,ntask_cont_to
6614 iproc=itask_cont_to(ii)
6615 write (iout,*) nn," contacts to processor",iproc,
6616 & " of CONT_TO_COMM group"
6618 write(iout,'(2f5.0,10f10.5)')(zapas(j,i,ii),j=1,10)
6626 CorrelID1=nfgtasks+fg_rank+1
6628 C Receive the numbers of needed contacts from other processors
6629 do ii=1,ntask_cont_from
6630 iproc=itask_cont_from(ii)
6632 call MPI_Irecv(ncont_recv(ii),1,MPI_INTEGER,iproc,CorrelType,
6633 & FG_COMM,req(ireq),IERR)
6635 c write (iout,*) "IRECV ended"
6637 C Send the number of contacts needed by other processors
6638 do ii=1,ntask_cont_to
6639 iproc=itask_cont_to(ii)
6641 call MPI_Isend(ncont_sent(ii),1,MPI_INTEGER,iproc,CorrelType,
6642 & FG_COMM,req(ireq),IERR)
6644 c write (iout,*) "ISEND ended"
6645 c write (iout,*) "number of requests (nn)",ireq
6648 & call MPI_Waitall(ireq,req,status_array,ierr)
6650 c & "Numbers of contacts to be received from other processors",
6651 c & (ncont_recv(i),i=1,ntask_cont_from)
6655 do ii=1,ntask_cont_from
6656 iproc=itask_cont_from(ii)
6658 c write (iout,*) "Receiving",nn," contacts from processor",iproc,
6659 c & " of CONT_TO_COMM group"
6663 call MPI_Irecv(zapas_recv(1,1,ii),nn*max_dim,
6664 & MPI_DOUBLE_PRECISION,iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6665 c write (iout,*) "ireq,req",ireq,req(ireq)
6668 C Send the contacts to processors that need them
6669 do ii=1,ntask_cont_to
6670 iproc=itask_cont_to(ii)
6672 c write (iout,*) nn," contacts to processor",iproc,
6673 c & " of CONT_TO_COMM group"
6676 call MPI_Isend(zapas(1,1,ii),nn*max_dim,MPI_DOUBLE_PRECISION,
6677 & iproc,CorrelType1,FG_COMM,req(ireq),IERR)
6678 c write (iout,*) "ireq,req",ireq,req(ireq)
6680 c write(iout,'(2f5.0,4f10.5)')(zapas(j,i,ii),j=1,5)
6684 c write (iout,*) "number of requests (contacts)",ireq
6685 c write (iout,*) "req",(req(i),i=1,4)
6688 & call MPI_Waitall(ireq,req,status_array,ierr)
6689 do iii=1,ntask_cont_from
6690 iproc=itask_cont_from(iii)
6693 write (iout,*) "Received",nn," contacts from processor",iproc,
6694 & " of CONT_FROM_COMM group"
6697 write(iout,'(2f5.0,10f10.5)')(zapas_recv(j,i,iii),j=1,10)
6702 ii=zapas_recv(1,i,iii)
6703 c Flag the received contacts to prevent double-counting
6704 jj=-zapas_recv(2,i,iii)
6705 c write (iout,*) "iii",iii," i",i," ii",ii," jj",jj
6707 nnn=num_cont_hb(ii)+1
6710 d_cont(nnn,ii)=zapas_recv(3,i,iii)
6714 grij_hb_cont(kk,nnn,ii)=zapas_recv(ind,i,iii)
6719 a_chuj(ll,kk,nnn,ii)=zapas_recv(ind,i,iii)
6727 a_chuj_der(mm,ll,kk,jj,nnn,ii)=zapas_recv(ind,i,iii)
6736 write (iout,'(a)') 'Contact function values after receive:'
6738 write (iout,'(2i3,50(1x,i3,5f6.3))')
6739 & i,num_cont_hb(i),(jcont_hb(j,i),d_cont(j,i),
6740 & ((a_chuj(ll,kk,j,i),ll=1,2),kk=1,2),j=1,num_cont_hb(i))
6747 write (iout,'(a)') 'Contact function values:'
6749 write (iout,'(2i3,50(1x,i2,5f6.3))')
6750 & i,num_cont_hb(i),(jcont_hb(j,i),d_cont(j,i),
6751 & ((a_chuj(ll,kk,j,i),ll=1,2),kk=1,2),j=1,num_cont_hb(i))
6757 C Remove the loop below after debugging !!!
6764 C Calculate the dipole-dipole interaction energies
6765 if (wcorr6.gt.0.0d0 .or. wturn6.gt.0.0d0) then
6766 do i=iatel_s,iatel_e+1
6767 num_conti=num_cont_hb(i)
6776 C Calculate the local-electrostatic correlation terms
6777 c write (iout,*) "gradcorr5 in eello5 before loop"
6779 c write (iout,'(i5,3f10.5)')
6780 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6782 do i=min0(iatel_s,iturn4_start),max0(iatel_e+1,iturn3_end+1)
6783 c write (iout,*) "corr loop i",i
6785 num_conti=num_cont_hb(i)
6786 num_conti1=num_cont_hb(i+1)
6793 c write (iout,*) 'i=',i,' j=',j,' i1=',i1,' j1=',j1,
6794 c & ' jj=',jj,' kk=',kk
6795 c if (j1.eq.j+1 .or. j1.eq.j-1) then
6796 if ((j.gt.0 .and. j1.gt.0 .or. j.gt.0 .and. j1.lt.0
6797 & .or. j.lt.0 .and. j1.gt.0) .and.
6798 & (jp1.eq.jp+1 .or. jp1.eq.jp-1)) then
6799 C Contacts I-J and (I+1)-(J+1) or (I+1)-(J-1) occur simultaneously.
6800 C The system gains extra energy.
6802 sqd1=dsqrt(d_cont(jj,i))
6803 sqd2=dsqrt(d_cont(kk,i1))
6804 sred_geom = sqd1*sqd2
6805 IF (sred_geom.lt.cutoff_corr) THEN
6806 call gcont(sred_geom,r0_corr,1.0D0,delt_corr,
6808 cd write (iout,*) 'i=',i,' j=',jp,' i1=',i1,' j1=',jp1,
6809 cd & ' jj=',jj,' kk=',kk
6810 fac_prim1=0.5d0*sqd2/sqd1*fprimcont
6811 fac_prim2=0.5d0*sqd1/sqd2*fprimcont
6813 g_contij(l,1)=fac_prim1*grij_hb_cont(l,jj,i)
6814 g_contij(l,2)=fac_prim2*grij_hb_cont(l,kk,i1)
6817 cd write (iout,*) 'sred_geom=',sred_geom,
6818 cd & ' ekont=',ekont,' fprim=',fprimcont,
6819 cd & ' fac_prim1',fac_prim1,' fac_prim2',fac_prim2
6820 cd write (iout,*) "g_contij",g_contij
6821 cd write (iout,*) "grij_hb_cont i",grij_hb_cont(:,jj,i)
6822 cd write (iout,*) "grij_hb_cont i1",grij_hb_cont(:,jj,i1)
6823 call calc_eello(i,jp,i+1,jp1,jj,kk)
6824 if (wcorr4.gt.0.0d0)
6825 & ecorr=ecorr+eello4(i,jp,i+1,jp1,jj,kk)
6826 if (energy_dec.and.wcorr4.gt.0.0d0)
6827 1 write (iout,'(a6,4i5,0pf7.3)')
6828 2 'ecorr4',i,j,i+1,j1,eello4(i,jp,i+1,jp1,jj,kk)
6829 c write (iout,*) "gradcorr5 before eello5"
6831 c write (iout,'(i5,3f10.5)')
6832 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6834 if (wcorr5.gt.0.0d0)
6835 & ecorr5=ecorr5+eello5(i,jp,i+1,jp1,jj,kk)
6836 c write (iout,*) "gradcorr5 after eello5"
6838 c write (iout,'(i5,3f10.5)')
6839 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6841 if (energy_dec.and.wcorr5.gt.0.0d0)
6842 1 write (iout,'(a6,4i5,0pf7.3)')
6843 2 'ecorr5',i,j,i+1,j1,eello5(i,jp,i+1,jp1,jj,kk)
6844 cd write(2,*)'wcorr6',wcorr6,' wturn6',wturn6
6845 cd write(2,*)'ijkl',i,jp,i+1,jp1
6846 if (wcorr6.gt.0.0d0 .and. (jp.ne.i+4 .or. jp1.ne.i+3
6847 & .or. wturn6.eq.0.0d0))then
6848 cd write (iout,*) '******ecorr6: i,j,i+1,j1',i,j,i+1,j1
6849 ecorr6=ecorr6+eello6(i,jp,i+1,jp1,jj,kk)
6850 if (energy_dec) write (iout,'(a6,4i5,0pf7.3)')
6851 1 'ecorr6',i,j,i+1,j1,eello6(i,jp,i+1,jp1,jj,kk)
6852 cd write (iout,*) 'ecorr',ecorr,' ecorr5=',ecorr5,
6853 cd & 'ecorr6=',ecorr6
6854 cd write (iout,'(4e15.5)') sred_geom,
6855 cd & dabs(eello4(i,jp,i+1,jp1,jj,kk)),
6856 cd & dabs(eello5(i,jp,i+1,jp1,jj,kk)),
6857 cd & dabs(eello6(i,jp,i+1,jp1,jj,kk))
6858 else if (wturn6.gt.0.0d0
6859 & .and. (jp.eq.i+4 .and. jp1.eq.i+3)) then
6860 cd write (iout,*) '******eturn6: i,j,i+1,j1',i,jip,i+1,jp1
6861 eturn6=eturn6+eello_turn6(i,jj,kk)
6862 if (energy_dec) write (iout,'(a6,4i5,0pf7.3)')
6863 1 'eturn6',i,j,i+1,j1,eello_turn6(i,jj,kk)
6864 cd write (2,*) 'multibody_eello:eturn6',eturn6
6873 num_cont_hb(i)=num_cont_hb_old(i)
6875 c write (iout,*) "gradcorr5 in eello5"
6877 c write (iout,'(i5,3f10.5)')
6878 c & iii,(gradcorr5(jjj,iii),jjj=1,3)
6882 c------------------------------------------------------------------------------
6883 subroutine add_hb_contact_eello(ii,jj,itask)
6884 implicit real*8 (a-h,o-z)
6885 include "DIMENSIONS"
6886 include "COMMON.IOUNITS"
6889 parameter (max_cont=maxconts)
6890 parameter (max_dim=70)
6891 include "COMMON.CONTACTS"
6892 double precision zapas(max_dim,maxconts,max_fg_procs),
6893 & zapas_recv(max_dim,maxconts,max_fg_procs)
6894 common /przechowalnia/ zapas
6895 integer i,j,ii,jj,iproc,itask(4),nn
6896 c write (iout,*) "itask",itask
6899 if (iproc.gt.0) then
6900 do j=1,num_cont_hb(ii)
6902 c write (iout,*) "send turns i",ii," j",jj," jjc",jjc
6904 ncont_sent(iproc)=ncont_sent(iproc)+1
6905 nn=ncont_sent(iproc)
6906 zapas(1,nn,iproc)=ii
6907 zapas(2,nn,iproc)=jjc
6908 zapas(3,nn,iproc)=d_cont(j,ii)
6912 zapas(ind,nn,iproc)=grij_hb_cont(kk,j,ii)
6917 zapas(ind,nn,iproc)=a_chuj(ll,kk,j,ii)
6925 zapas(ind,nn,iproc)=a_chuj_der(mm,ll,kk,jj,j,ii)
6937 c------------------------------------------------------------------------------
6938 double precision function ehbcorr(i,j,k,l,jj,kk,coeffp,coeffm)
6939 implicit real*8 (a-h,o-z)
6940 include 'DIMENSIONS'
6941 include 'COMMON.IOUNITS'
6942 include 'COMMON.DERIV'
6943 include 'COMMON.INTERACT'
6944 include 'COMMON.CONTACTS'
6945 double precision gx(3),gx1(3)
6955 ees=-(coeffp*ees0pij*ees0pkl+coeffm*ees0mij*ees0mkl)
6956 cd ees=-(coeffp*ees0pkl+coeffm*ees0mkl)
6957 C Following 4 lines for diagnostics.
6962 c write (iout,'(2(a,2i3,a,f10.5,a,2f10.5),a,f10.5,a,$)')
6963 c & 'Contacts ',i,j,
6964 c & ' eij',eij,' eesij',ees0pij,ees0mij,' and ',k,l
6965 c & ,' fcont ',ekl,' eeskl',ees0pkl,ees0mkl,' energy=',ekont*ees,
6967 C Calculate the multi-body contribution to energy.
6968 c ecorr=ecorr+ekont*ees
6969 C Calculate multi-body contributions to the gradient.
6970 coeffpees0pij=coeffp*ees0pij
6971 coeffmees0mij=coeffm*ees0mij
6972 coeffpees0pkl=coeffp*ees0pkl
6973 coeffmees0mkl=coeffm*ees0mkl
6975 cgrad ghalfi=ees*ekl*gacont_hbr(ll,jj,i)
6976 gradcorr(ll,i)=gradcorr(ll,i)!+0.5d0*ghalfi
6977 & -ekont*(coeffpees0pkl*gacontp_hb1(ll,jj,i)+
6978 & coeffmees0mkl*gacontm_hb1(ll,jj,i))
6979 gradcorr(ll,j)=gradcorr(ll,j)!+0.5d0*ghalfi
6980 & -ekont*(coeffpees0pkl*gacontp_hb2(ll,jj,i)+
6981 & coeffmees0mkl*gacontm_hb2(ll,jj,i))
6982 cgrad ghalfk=ees*eij*gacont_hbr(ll,kk,k)
6983 gradcorr(ll,k)=gradcorr(ll,k)!+0.5d0*ghalfk
6984 & -ekont*(coeffpees0pij*gacontp_hb1(ll,kk,k)+
6985 & coeffmees0mij*gacontm_hb1(ll,kk,k))
6986 gradcorr(ll,l)=gradcorr(ll,l)!+0.5d0*ghalfk
6987 & -ekont*(coeffpees0pij*gacontp_hb2(ll,kk,k)+
6988 & coeffmees0mij*gacontm_hb2(ll,kk,k))
6989 gradlongij=ees*ekl*gacont_hbr(ll,jj,i)-
6990 & ekont*(coeffpees0pkl*gacontp_hb3(ll,jj,i)+
6991 & coeffmees0mkl*gacontm_hb3(ll,jj,i))
6992 gradcorr_long(ll,j)=gradcorr_long(ll,j)+gradlongij
6993 gradcorr_long(ll,i)=gradcorr_long(ll,i)-gradlongij
6994 gradlongkl=ees*eij*gacont_hbr(ll,kk,k)-
6995 & ekont*(coeffpees0pij*gacontp_hb3(ll,kk,k)+
6996 & coeffmees0mij*gacontm_hb3(ll,kk,k))
6997 gradcorr_long(ll,l)=gradcorr_long(ll,l)+gradlongkl
6998 gradcorr_long(ll,k)=gradcorr_long(ll,k)-gradlongkl
6999 c write (iout,'(2f10.5,2x,$)') gradlongij,gradlongkl
7004 cgrad gradcorr(ll,m)=gradcorr(ll,m)+
7005 cgrad & ees*ekl*gacont_hbr(ll,jj,i)-
7006 cgrad & ekont*(coeffp*ees0pkl*gacontp_hb3(ll,jj,i)+
7007 cgrad & coeffm*ees0mkl*gacontm_hb3(ll,jj,i))
7012 cgrad gradcorr(ll,m)=gradcorr(ll,m)+
7013 cgrad & ees*eij*gacont_hbr(ll,kk,k)-
7014 cgrad & ekont*(coeffp*ees0pij*gacontp_hb3(ll,kk,k)+
7015 cgrad & coeffm*ees0mij*gacontm_hb3(ll,kk,k))
7018 c write (iout,*) "ehbcorr",ekont*ees
7023 C---------------------------------------------------------------------------
7024 subroutine dipole(i,j,jj)
7025 implicit real*8 (a-h,o-z)
7026 include 'DIMENSIONS'
7027 include 'COMMON.IOUNITS'
7028 include 'COMMON.CHAIN'
7029 include 'COMMON.FFIELD'
7030 include 'COMMON.DERIV'
7031 include 'COMMON.INTERACT'
7032 include 'COMMON.CONTACTS'
7033 include 'COMMON.TORSION'
7034 include 'COMMON.VAR'
7035 include 'COMMON.GEO'
7036 dimension dipi(2,2),dipj(2,2),dipderi(2),dipderj(2),auxvec(2),
7038 iti1 = itortyp(itype(i+1))
7039 if (j.lt.nres-1) then
7040 itj1 = itortyp(itype(j+1))
7045 dipi(iii,1)=Ub2(iii,i)
7046 dipderi(iii)=Ub2der(iii,i)
7047 dipi(iii,2)=b1(iii,iti1)
7048 dipj(iii,1)=Ub2(iii,j)
7049 dipderj(iii)=Ub2der(iii,j)
7050 dipj(iii,2)=b1(iii,itj1)
7054 call matvec2(a_chuj(1,1,jj,i),dipj(1,iii),auxvec(1))
7057 dip(kkk,jj,i)=scalar2(dipi(1,jjj),auxvec(1))
7064 call matvec2(a_chuj_der(1,1,lll,kkk,jj,i),dipj(1,iii),
7068 dipderx(lll,kkk,mmm,jj,i)=scalar2(dipi(1,jjj),auxvec(1))
7073 call transpose2(a_chuj(1,1,jj,i),auxmat(1,1))
7074 call matvec2(auxmat(1,1),dipderi(1),auxvec(1))
7076 dipderg(iii,jj,i)=scalar2(auxvec(1),dipj(1,iii))
7078 call matvec2(a_chuj(1,1,jj,i),dipderj(1),auxvec(1))
7080 dipderg(iii+2,jj,i)=scalar2(auxvec(1),dipi(1,iii))
7085 C---------------------------------------------------------------------------
7086 subroutine calc_eello(i,j,k,l,jj,kk)
7088 C This subroutine computes matrices and vectors needed to calculate
7089 C the fourth-, fifth-, and sixth-order local-electrostatic terms.
7091 implicit real*8 (a-h,o-z)
7092 include 'DIMENSIONS'
7093 include 'COMMON.IOUNITS'
7094 include 'COMMON.CHAIN'
7095 include 'COMMON.DERIV'
7096 include 'COMMON.INTERACT'
7097 include 'COMMON.CONTACTS'
7098 include 'COMMON.TORSION'
7099 include 'COMMON.VAR'
7100 include 'COMMON.GEO'
7101 include 'COMMON.FFIELD'
7102 double precision aa1(2,2),aa2(2,2),aa1t(2,2),aa2t(2,2),
7103 & aa1tder(2,2,3,5),aa2tder(2,2,3,5),auxmat(2,2)
7106 cd write (iout,*) 'calc_eello: i=',i,' j=',j,' k=',k,' l=',l,
7107 cd & ' jj=',jj,' kk=',kk
7108 cd if (i.ne.2 .or. j.ne.4 .or. k.ne.3 .or. l.ne.5) return
7109 cd write (iout,*) "a_chujij",((a_chuj(iii,jjj,jj,i),iii=1,2),jjj=1,2)
7110 cd write (iout,*) "a_chujkl",((a_chuj(iii,jjj,kk,k),iii=1,2),jjj=1,2)
7113 aa1(iii,jjj)=a_chuj(iii,jjj,jj,i)
7114 aa2(iii,jjj)=a_chuj(iii,jjj,kk,k)
7117 call transpose2(aa1(1,1),aa1t(1,1))
7118 call transpose2(aa2(1,1),aa2t(1,1))
7121 call transpose2(a_chuj_der(1,1,lll,kkk,jj,i),
7122 & aa1tder(1,1,lll,kkk))
7123 call transpose2(a_chuj_der(1,1,lll,kkk,kk,k),
7124 & aa2tder(1,1,lll,kkk))
7128 C parallel orientation of the two CA-CA-CA frames.
7130 iti=itortyp(itype(i))
7134 itk1=itortyp(itype(k+1))
7135 itj=itortyp(itype(j))
7136 if (l.lt.nres-1) then
7137 itl1=itortyp(itype(l+1))
7141 C A1 kernel(j+1) A2T
7143 cd write (iout,'(3f10.5,5x,3f10.5)')
7144 cd & (EUg(iii,jjj,k),jjj=1,2),(EUg(iii,jjj,l),jjj=1,2)
7146 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7147 & aa2tder(1,1,1,1),1,.false.,EUg(1,1,l),EUgder(1,1,l),
7148 & AEA(1,1,1),AEAderg(1,1,1),AEAderx(1,1,1,1,1,1))
7149 C Following matrices are needed only for 6-th order cumulants
7150 IF (wcorr6.gt.0.0d0) THEN
7151 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7152 & aa2tder(1,1,1,1),1,.false.,EUgC(1,1,l),EUgCder(1,1,l),
7153 & AECA(1,1,1),AECAderg(1,1,1),AECAderx(1,1,1,1,1,1))
7154 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7155 & aa2tder(1,1,1,1),2,.false.,Ug2DtEUg(1,1,l),
7156 & Ug2DtEUgder(1,1,1,l),ADtEA(1,1,1),ADtEAderg(1,1,1,1),
7157 & ADtEAderx(1,1,1,1,1,1))
7159 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7160 & aa2tder(1,1,1,1),2,.false.,DtUg2EUg(1,1,l),
7161 & DtUg2EUgder(1,1,1,l),ADtEA1(1,1,1),ADtEA1derg(1,1,1,1),
7162 & ADtEA1derx(1,1,1,1,1,1))
7164 C End 6-th order cumulants
7167 cd write (2,*) 'In calc_eello6'
7169 cd write (2,*) 'iii=',iii
7171 cd write (2,*) 'kkk=',kkk
7173 cd write (2,'(3(2f10.5),5x)')
7174 cd & ((ADtEA1derx(jjj,mmm,lll,kkk,iii,1),mmm=1,2),lll=1,3)
7179 call transpose2(EUgder(1,1,k),auxmat(1,1))
7180 call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,1,1))
7181 call transpose2(EUg(1,1,k),auxmat(1,1))
7182 call matmat2(auxmat(1,1),AEA(1,1,1),EAEA(1,1,1))
7183 call matmat2(auxmat(1,1),AEAderg(1,1,1),EAEAderg(1,1,2,1))
7187 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
7188 & EAEAderx(1,1,lll,kkk,iii,1))
7192 C A1T kernel(i+1) A2
7193 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7194 & a_chuj_der(1,1,1,1,kk,k),1,.false.,EUg(1,1,k),EUgder(1,1,k),
7195 & AEA(1,1,2),AEAderg(1,1,2),AEAderx(1,1,1,1,1,2))
7196 C Following matrices are needed only for 6-th order cumulants
7197 IF (wcorr6.gt.0.0d0) THEN
7198 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7199 & a_chuj_der(1,1,1,1,kk,k),1,.false.,EUgC(1,1,k),EUgCder(1,1,k),
7200 & AECA(1,1,2),AECAderg(1,1,2),AECAderx(1,1,1,1,1,2))
7201 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7202 & a_chuj_der(1,1,1,1,kk,k),2,.false.,Ug2DtEUg(1,1,k),
7203 & Ug2DtEUgder(1,1,1,k),ADtEA(1,1,2),ADtEAderg(1,1,1,2),
7204 & ADtEAderx(1,1,1,1,1,2))
7205 call kernel(aa1t(1,1),aa2(1,1),aa1tder(1,1,1,1),
7206 & a_chuj_der(1,1,1,1,kk,k),2,.false.,DtUg2EUg(1,1,k),
7207 & DtUg2EUgder(1,1,1,k),ADtEA1(1,1,2),ADtEA1derg(1,1,1,2),
7208 & ADtEA1derx(1,1,1,1,1,2))
7210 C End 6-th order cumulants
7211 call transpose2(EUgder(1,1,l),auxmat(1,1))
7212 call matmat2(auxmat(1,1),AEA(1,1,2),EAEAderg(1,1,1,2))
7213 call transpose2(EUg(1,1,l),auxmat(1,1))
7214 call matmat2(auxmat(1,1),AEA(1,1,2),EAEA(1,1,2))
7215 call matmat2(auxmat(1,1),AEAderg(1,1,2),EAEAderg(1,1,2,2))
7219 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7220 & EAEAderx(1,1,lll,kkk,iii,2))
7225 C Calculate the vectors and their derivatives in virtual-bond dihedral angles.
7226 C They are needed only when the fifth- or the sixth-order cumulants are
7228 IF (wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0) THEN
7229 call transpose2(AEA(1,1,1),auxmat(1,1))
7230 call matvec2(auxmat(1,1),b1(1,iti),AEAb1(1,1,1))
7231 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2(1,1,1))
7232 call matvec2(auxmat(1,1),Ub2der(1,i),AEAb2derg(1,2,1,1))
7233 call transpose2(AEAderg(1,1,1),auxmat(1,1))
7234 call matvec2(auxmat(1,1),b1(1,iti),AEAb1derg(1,1,1))
7235 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2derg(1,1,1,1))
7236 call matvec2(AEA(1,1,1),b1(1,itk1),AEAb1(1,2,1))
7237 call matvec2(AEAderg(1,1,1),b1(1,itk1),AEAb1derg(1,2,1))
7238 call matvec2(AEA(1,1,1),Ub2(1,k+1),AEAb2(1,2,1))
7239 call matvec2(AEAderg(1,1,1),Ub2(1,k+1),AEAb2derg(1,1,2,1))
7240 call matvec2(AEA(1,1,1),Ub2der(1,k+1),AEAb2derg(1,2,2,1))
7241 call transpose2(AEA(1,1,2),auxmat(1,1))
7242 call matvec2(auxmat(1,1),b1(1,itj),AEAb1(1,1,2))
7243 call matvec2(auxmat(1,1),Ub2(1,j),AEAb2(1,1,2))
7244 call matvec2(auxmat(1,1),Ub2der(1,j),AEAb2derg(1,2,1,2))
7245 call transpose2(AEAderg(1,1,2),auxmat(1,1))
7246 call matvec2(auxmat(1,1),b1(1,itj),AEAb1derg(1,1,2))
7247 call matvec2(auxmat(1,1),Ub2(1,j),AEAb2derg(1,1,1,2))
7248 call matvec2(AEA(1,1,2),b1(1,itl1),AEAb1(1,2,2))
7249 call matvec2(AEAderg(1,1,2),b1(1,itl1),AEAb1derg(1,2,2))
7250 call matvec2(AEA(1,1,2),Ub2(1,l+1),AEAb2(1,2,2))
7251 call matvec2(AEAderg(1,1,2),Ub2(1,l+1),AEAb2derg(1,1,2,2))
7252 call matvec2(AEA(1,1,2),Ub2der(1,l+1),AEAb2derg(1,2,2,2))
7253 C Calculate the Cartesian derivatives of the vectors.
7257 call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1))
7258 call matvec2(auxmat(1,1),b1(1,iti),
7259 & AEAb1derx(1,lll,kkk,iii,1,1))
7260 call matvec2(auxmat(1,1),Ub2(1,i),
7261 & AEAb2derx(1,lll,kkk,iii,1,1))
7262 call matvec2(AEAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
7263 & AEAb1derx(1,lll,kkk,iii,2,1))
7264 call matvec2(AEAderx(1,1,lll,kkk,iii,1),Ub2(1,k+1),
7265 & AEAb2derx(1,lll,kkk,iii,2,1))
7266 call transpose2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1))
7267 call matvec2(auxmat(1,1),b1(1,itj),
7268 & AEAb1derx(1,lll,kkk,iii,1,2))
7269 call matvec2(auxmat(1,1),Ub2(1,j),
7270 & AEAb2derx(1,lll,kkk,iii,1,2))
7271 call matvec2(AEAderx(1,1,lll,kkk,iii,2),b1(1,itl1),
7272 & AEAb1derx(1,lll,kkk,iii,2,2))
7273 call matvec2(AEAderx(1,1,lll,kkk,iii,2),Ub2(1,l+1),
7274 & AEAb2derx(1,lll,kkk,iii,2,2))
7281 C Antiparallel orientation of the two CA-CA-CA frames.
7283 iti=itortyp(itype(i))
7287 itk1=itortyp(itype(k+1))
7288 itl=itortyp(itype(l))
7289 itj=itortyp(itype(j))
7290 if (j.lt.nres-1) then
7291 itj1=itortyp(itype(j+1))
7295 C A2 kernel(j-1)T A1T
7296 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7297 & aa2tder(1,1,1,1),1,.true.,EUg(1,1,j),EUgder(1,1,j),
7298 & AEA(1,1,1),AEAderg(1,1,1),AEAderx(1,1,1,1,1,1))
7299 C Following matrices are needed only for 6-th order cumulants
7300 IF (wcorr6.gt.0.0d0 .or. (wturn6.gt.0.0d0 .and.
7301 & j.eq.i+4 .and. l.eq.i+3)) THEN
7302 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7303 & aa2tder(1,1,1,1),1,.true.,EUgC(1,1,j),EUgCder(1,1,j),
7304 & AECA(1,1,1),AECAderg(1,1,1),AECAderx(1,1,1,1,1,1))
7305 call kernel(aa2(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7306 & aa2tder(1,1,1,1),2,.true.,Ug2DtEUg(1,1,j),
7307 & Ug2DtEUgder(1,1,1,j),ADtEA(1,1,1),ADtEAderg(1,1,1,1),
7308 & ADtEAderx(1,1,1,1,1,1))
7309 call kernel(aa1(1,1),aa2t(1,1),a_chuj_der(1,1,1,1,jj,i),
7310 & aa2tder(1,1,1,1),2,.true.,DtUg2EUg(1,1,j),
7311 & DtUg2EUgder(1,1,1,j),ADtEA1(1,1,1),ADtEA1derg(1,1,1,1),
7312 & ADtEA1derx(1,1,1,1,1,1))
7314 C End 6-th order cumulants
7315 call transpose2(EUgder(1,1,k),auxmat(1,1))
7316 call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,1,1))
7317 call transpose2(EUg(1,1,k),auxmat(1,1))
7318 call matmat2(auxmat(1,1),AEA(1,1,1),EAEA(1,1,1))
7319 call matmat2(auxmat(1,1),AEAderg(1,1,1),EAEAderg(1,1,2,1))
7323 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
7324 & EAEAderx(1,1,lll,kkk,iii,1))
7328 C A2T kernel(i+1)T A1
7329 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7330 & a_chuj_der(1,1,1,1,jj,i),1,.true.,EUg(1,1,k),EUgder(1,1,k),
7331 & AEA(1,1,2),AEAderg(1,1,2),AEAderx(1,1,1,1,1,2))
7332 C Following matrices are needed only for 6-th order cumulants
7333 IF (wcorr6.gt.0.0d0 .or. (wturn6.gt.0.0d0 .and.
7334 & j.eq.i+4 .and. l.eq.i+3)) THEN
7335 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7336 & a_chuj_der(1,1,1,1,jj,i),1,.true.,EUgC(1,1,k),EUgCder(1,1,k),
7337 & AECA(1,1,2),AECAderg(1,1,2),AECAderx(1,1,1,1,1,2))
7338 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7339 & a_chuj_der(1,1,1,1,jj,i),2,.true.,Ug2DtEUg(1,1,k),
7340 & Ug2DtEUgder(1,1,1,k),ADtEA(1,1,2),ADtEAderg(1,1,1,2),
7341 & ADtEAderx(1,1,1,1,1,2))
7342 call kernel(aa2t(1,1),aa1(1,1),aa2tder(1,1,1,1),
7343 & a_chuj_der(1,1,1,1,jj,i),2,.true.,DtUg2EUg(1,1,k),
7344 & DtUg2EUgder(1,1,1,k),ADtEA1(1,1,2),ADtEA1derg(1,1,1,2),
7345 & ADtEA1derx(1,1,1,1,1,2))
7347 C End 6-th order cumulants
7348 call transpose2(EUgder(1,1,j),auxmat(1,1))
7349 call matmat2(auxmat(1,1),AEA(1,1,1),EAEAderg(1,1,2,2))
7350 call transpose2(EUg(1,1,j),auxmat(1,1))
7351 call matmat2(auxmat(1,1),AEA(1,1,2),EAEA(1,1,2))
7352 call matmat2(auxmat(1,1),AEAderg(1,1,2),EAEAderg(1,1,2,2))
7356 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7357 & EAEAderx(1,1,lll,kkk,iii,2))
7362 C Calculate the vectors and their derivatives in virtual-bond dihedral angles.
7363 C They are needed only when the fifth- or the sixth-order cumulants are
7365 IF (wcorr5.gt.0.0d0 .or. wcorr6.gt.0.0d0 .or.
7366 & (wturn6.gt.0.0d0 .and. j.eq.i+4 .and. l.eq.i+3)) THEN
7367 call transpose2(AEA(1,1,1),auxmat(1,1))
7368 call matvec2(auxmat(1,1),b1(1,iti),AEAb1(1,1,1))
7369 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2(1,1,1))
7370 call matvec2(auxmat(1,1),Ub2der(1,i),AEAb2derg(1,2,1,1))
7371 call transpose2(AEAderg(1,1,1),auxmat(1,1))
7372 call matvec2(auxmat(1,1),b1(1,iti),AEAb1derg(1,1,1))
7373 call matvec2(auxmat(1,1),Ub2(1,i),AEAb2derg(1,1,1,1))
7374 call matvec2(AEA(1,1,1),b1(1,itk1),AEAb1(1,2,1))
7375 call matvec2(AEAderg(1,1,1),b1(1,itk1),AEAb1derg(1,2,1))
7376 call matvec2(AEA(1,1,1),Ub2(1,k+1),AEAb2(1,2,1))
7377 call matvec2(AEAderg(1,1,1),Ub2(1,k+1),AEAb2derg(1,1,2,1))
7378 call matvec2(AEA(1,1,1),Ub2der(1,k+1),AEAb2derg(1,2,2,1))
7379 call transpose2(AEA(1,1,2),auxmat(1,1))
7380 call matvec2(auxmat(1,1),b1(1,itj1),AEAb1(1,1,2))
7381 call matvec2(auxmat(1,1),Ub2(1,l),AEAb2(1,1,2))
7382 call matvec2(auxmat(1,1),Ub2der(1,l),AEAb2derg(1,2,1,2))
7383 call transpose2(AEAderg(1,1,2),auxmat(1,1))
7384 call matvec2(auxmat(1,1),b1(1,itl),AEAb1(1,1,2))
7385 call matvec2(auxmat(1,1),Ub2(1,l),AEAb2derg(1,1,1,2))
7386 call matvec2(AEA(1,1,2),b1(1,itj1),AEAb1(1,2,2))
7387 call matvec2(AEAderg(1,1,2),b1(1,itj1),AEAb1derg(1,2,2))
7388 call matvec2(AEA(1,1,2),Ub2(1,j),AEAb2(1,2,2))
7389 call matvec2(AEAderg(1,1,2),Ub2(1,j),AEAb2derg(1,1,2,2))
7390 call matvec2(AEA(1,1,2),Ub2der(1,j),AEAb2derg(1,2,2,2))
7391 C Calculate the Cartesian derivatives of the vectors.
7395 call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1))
7396 call matvec2(auxmat(1,1),b1(1,iti),
7397 & AEAb1derx(1,lll,kkk,iii,1,1))
7398 call matvec2(auxmat(1,1),Ub2(1,i),
7399 & AEAb2derx(1,lll,kkk,iii,1,1))
7400 call matvec2(AEAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
7401 & AEAb1derx(1,lll,kkk,iii,2,1))
7402 call matvec2(AEAderx(1,1,lll,kkk,iii,1),Ub2(1,k+1),
7403 & AEAb2derx(1,lll,kkk,iii,2,1))
7404 call transpose2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1))
7405 call matvec2(auxmat(1,1),b1(1,itl),
7406 & AEAb1derx(1,lll,kkk,iii,1,2))
7407 call matvec2(auxmat(1,1),Ub2(1,l),
7408 & AEAb2derx(1,lll,kkk,iii,1,2))
7409 call matvec2(AEAderx(1,1,lll,kkk,iii,2),b1(1,itj1),
7410 & AEAb1derx(1,lll,kkk,iii,2,2))
7411 call matvec2(AEAderx(1,1,lll,kkk,iii,2),Ub2(1,j),
7412 & AEAb2derx(1,lll,kkk,iii,2,2))
7421 C---------------------------------------------------------------------------
7422 subroutine kernel(aa1,aa2t,aa1derx,aa2tderx,nderg,transp,
7423 & KK,KKderg,AKA,AKAderg,AKAderx)
7427 double precision aa1(2,2),aa2t(2,2),aa1derx(2,2,3,5),
7428 & aa2tderx(2,2,3,5),KK(2,2),KKderg(2,2,nderg),AKA(2,2),
7429 & AKAderg(2,2,nderg),AKAderx(2,2,3,5,2)
7434 call prodmat3(aa1(1,1),aa2t(1,1),KK(1,1),transp,AKA(1,1))
7436 call prodmat3(aa1(1,1),aa2t(1,1),KKderg(1,1,iii),transp,
7439 cd if (lprn) write (2,*) 'In kernel'
7441 cd if (lprn) write (2,*) 'kkk=',kkk
7443 call prodmat3(aa1derx(1,1,lll,kkk),aa2t(1,1),
7444 & KK(1,1),transp,AKAderx(1,1,lll,kkk,1))
7446 cd write (2,*) 'lll=',lll
7447 cd write (2,*) 'iii=1'
7449 cd write (2,'(3(2f10.5),5x)')
7450 cd & (AKAderx(jjj,mmm,lll,kkk,1),mmm=1,2)
7453 call prodmat3(aa1(1,1),aa2tderx(1,1,lll,kkk),
7454 & KK(1,1),transp,AKAderx(1,1,lll,kkk,2))
7456 cd write (2,*) 'lll=',lll
7457 cd write (2,*) 'iii=2'
7459 cd write (2,'(3(2f10.5),5x)')
7460 cd & (AKAderx(jjj,mmm,lll,kkk,2),mmm=1,2)
7467 C---------------------------------------------------------------------------
7468 double precision function eello4(i,j,k,l,jj,kk)
7469 implicit real*8 (a-h,o-z)
7470 include 'DIMENSIONS'
7471 include 'COMMON.IOUNITS'
7472 include 'COMMON.CHAIN'
7473 include 'COMMON.DERIV'
7474 include 'COMMON.INTERACT'
7475 include 'COMMON.CONTACTS'
7476 include 'COMMON.TORSION'
7477 include 'COMMON.VAR'
7478 include 'COMMON.GEO'
7479 double precision pizda(2,2),ggg1(3),ggg2(3)
7480 cd if (i.ne.1 .or. j.ne.5 .or. k.ne.2 .or.l.ne.4) then
7484 cd print *,'eello4:',i,j,k,l,jj,kk
7485 cd write (2,*) 'i',i,' j',j,' k',k,' l',l
7486 cd call checkint4(i,j,k,l,jj,kk,eel4_num)
7487 cold eij=facont_hb(jj,i)
7488 cold ekl=facont_hb(kk,k)
7490 eel4=-EAEA(1,1,1)-EAEA(2,2,1)
7491 cd eel41=-EAEA(1,1,2)-EAEA(2,2,2)
7492 gcorr_loc(k-1)=gcorr_loc(k-1)
7493 & -ekont*(EAEAderg(1,1,1,1)+EAEAderg(2,2,1,1))
7495 gcorr_loc(l-1)=gcorr_loc(l-1)
7496 & -ekont*(EAEAderg(1,1,2,1)+EAEAderg(2,2,2,1))
7498 gcorr_loc(j-1)=gcorr_loc(j-1)
7499 & -ekont*(EAEAderg(1,1,2,1)+EAEAderg(2,2,2,1))
7504 derx(lll,kkk,iii)=-EAEAderx(1,1,lll,kkk,iii,1)
7505 & -EAEAderx(2,2,lll,kkk,iii,1)
7506 cd derx(lll,kkk,iii)=0.0d0
7510 cd gcorr_loc(l-1)=0.0d0
7511 cd gcorr_loc(j-1)=0.0d0
7512 cd gcorr_loc(k-1)=0.0d0
7514 cd write (iout,*)'Contacts have occurred for peptide groups',
7515 cd & i,j,' fcont:',eij,' eij',' and ',k,l,
7516 cd & ' fcont ',ekl,' eel4=',eel4,' eel4_num',16*eel4_num
7517 if (j.lt.nres-1) then
7524 if (l.lt.nres-1) then
7532 cgrad ggg1(ll)=eel4*g_contij(ll,1)
7533 cgrad ggg2(ll)=eel4*g_contij(ll,2)
7534 glongij=eel4*g_contij(ll,1)+ekont*derx(ll,1,1)
7535 glongkl=eel4*g_contij(ll,2)+ekont*derx(ll,1,2)
7536 cgrad ghalf=0.5d0*ggg1(ll)
7537 gradcorr(ll,i)=gradcorr(ll,i)+ekont*derx(ll,2,1)
7538 gradcorr(ll,i+1)=gradcorr(ll,i+1)+ekont*derx(ll,3,1)
7539 gradcorr(ll,j)=gradcorr(ll,j)+ekont*derx(ll,4,1)
7540 gradcorr(ll,j1)=gradcorr(ll,j1)+ekont*derx(ll,5,1)
7541 gradcorr_long(ll,j)=gradcorr_long(ll,j)+glongij
7542 gradcorr_long(ll,i)=gradcorr_long(ll,i)-glongij
7543 cgrad ghalf=0.5d0*ggg2(ll)
7544 gradcorr(ll,k)=gradcorr(ll,k)+ekont*derx(ll,2,2)
7545 gradcorr(ll,k+1)=gradcorr(ll,k+1)+ekont*derx(ll,3,2)
7546 gradcorr(ll,l)=gradcorr(ll,l)+ekont*derx(ll,4,2)
7547 gradcorr(ll,l1)=gradcorr(ll,l1)+ekont*derx(ll,5,2)
7548 gradcorr_long(ll,l)=gradcorr_long(ll,l)+glongkl
7549 gradcorr_long(ll,k)=gradcorr_long(ll,k)-glongkl
7553 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ggg1(ll)
7558 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ggg2(ll)
7563 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ekont*derx(ll,1,1)
7568 cgrad gradcorr(ll,m)=gradcorr(ll,m)+ekont*derx(ll,1,2)
7572 cd write (2,*) iii,gcorr_loc(iii)
7575 cd write (2,*) 'ekont',ekont
7576 cd write (iout,*) 'eello4',ekont*eel4
7579 C---------------------------------------------------------------------------
7580 double precision function eello5(i,j,k,l,jj,kk)
7581 implicit real*8 (a-h,o-z)
7582 include 'DIMENSIONS'
7583 include 'COMMON.IOUNITS'
7584 include 'COMMON.CHAIN'
7585 include 'COMMON.DERIV'
7586 include 'COMMON.INTERACT'
7587 include 'COMMON.CONTACTS'
7588 include 'COMMON.TORSION'
7589 include 'COMMON.VAR'
7590 include 'COMMON.GEO'
7591 double precision pizda(2,2),auxmat(2,2),auxmat1(2,2),vv(2)
7592 double precision ggg1(3),ggg2(3)
7593 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
7598 C /l\ / \ \ / \ / \ / C
7599 C / \ / \ \ / \ / \ / C
7600 C j| o |l1 | o | o| o | | o |o C
7601 C \ |/k\| |/ \| / |/ \| |/ \| C
7602 C \i/ \ / \ / / \ / \ C
7604 C (I) (II) (III) (IV) C
7606 C eello5_1 eello5_2 eello5_3 eello5_4 C
7608 C Antiparallel chains C
7611 C /j\ / \ \ / \ / \ / C
7612 C / \ / \ \ / \ / \ / C
7613 C j1| o |l | o | o| o | | o |o C
7614 C \ |/k\| |/ \| / |/ \| |/ \| C
7615 C \i/ \ / \ / / \ / \ C
7617 C (I) (II) (III) (IV) C
7619 C eello5_1 eello5_2 eello5_3 eello5_4 C
7621 C o denotes a local interaction, vertical lines an electrostatic interaction. C
7623 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
7624 cd if (i.ne.2 .or. j.ne.6 .or. k.ne.3 .or. l.ne.5) then
7629 cd & 'EELLO5: Contacts have occurred for peptide groups',i,j,
7631 itk=itortyp(itype(k))
7632 itl=itortyp(itype(l))
7633 itj=itortyp(itype(j))
7638 cd call checkint5(i,j,k,l,jj,kk,eel5_1_num,eel5_2_num,
7639 cd & eel5_3_num,eel5_4_num)
7643 derx(lll,kkk,iii)=0.0d0
7647 cd eij=facont_hb(jj,i)
7648 cd ekl=facont_hb(kk,k)
7650 cd write (iout,*)'Contacts have occurred for peptide groups',
7651 cd & i,j,' fcont:',eij,' eij',' and ',k,l
7653 C Contribution from the graph I.
7654 cd write (2,*) 'AEA ',AEA(1,1,1),AEA(2,1,1),AEA(1,2,1),AEA(2,2,1)
7655 cd write (2,*) 'AEAb2',AEAb2(1,1,1),AEAb2(2,1,1)
7656 call transpose2(EUg(1,1,k),auxmat(1,1))
7657 call matmat2(AEA(1,1,1),auxmat(1,1),pizda(1,1))
7658 vv(1)=pizda(1,1)-pizda(2,2)
7659 vv(2)=pizda(1,2)+pizda(2,1)
7660 eello5_1=scalar2(AEAb2(1,1,1),Ub2(1,k))
7661 & +0.5d0*scalar2(vv(1),Dtobr2(1,i))
7662 C Explicit gradient in virtual-dihedral angles.
7663 if (i.gt.1) g_corr5_loc(i-1)=g_corr5_loc(i-1)
7664 & +ekont*(scalar2(AEAb2derg(1,2,1,1),Ub2(1,k))
7665 & +0.5d0*scalar2(vv(1),Dtobr2der(1,i)))
7666 call transpose2(EUgder(1,1,k),auxmat1(1,1))
7667 call matmat2(AEA(1,1,1),auxmat1(1,1),pizda(1,1))
7668 vv(1)=pizda(1,1)-pizda(2,2)
7669 vv(2)=pizda(1,2)+pizda(2,1)
7670 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7671 & +ekont*(scalar2(AEAb2(1,1,1),Ub2der(1,k))
7672 & +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
7673 call matmat2(AEAderg(1,1,1),auxmat(1,1),pizda(1,1))
7674 vv(1)=pizda(1,1)-pizda(2,2)
7675 vv(2)=pizda(1,2)+pizda(2,1)
7677 if (l.lt.nres-1) g_corr5_loc(l-1)=g_corr5_loc(l-1)
7678 & +ekont*(scalar2(AEAb2derg(1,1,1,1),Ub2(1,k))
7679 & +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
7681 if (j.lt.nres-1) g_corr5_loc(j-1)=g_corr5_loc(j-1)
7682 & +ekont*(scalar2(AEAb2derg(1,1,1,1),Ub2(1,k))
7683 & +0.5d0*scalar2(vv(1),Dtobr2(1,i)))
7685 C Cartesian gradient
7689 call matmat2(AEAderx(1,1,lll,kkk,iii,1),auxmat(1,1),
7691 vv(1)=pizda(1,1)-pizda(2,2)
7692 vv(2)=pizda(1,2)+pizda(2,1)
7693 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7694 & +scalar2(AEAb2derx(1,lll,kkk,iii,1,1),Ub2(1,k))
7695 & +0.5d0*scalar2(vv(1),Dtobr2(1,i))
7701 C Contribution from graph II
7702 call transpose2(EE(1,1,itk),auxmat(1,1))
7703 call matmat2(auxmat(1,1),AEA(1,1,1),pizda(1,1))
7704 vv(1)=pizda(1,1)+pizda(2,2)
7705 vv(2)=pizda(2,1)-pizda(1,2)
7706 eello5_2=scalar2(AEAb1(1,2,1),b1(1,itk))
7707 & -0.5d0*scalar2(vv(1),Ctobr(1,k))
7708 C Explicit gradient in virtual-dihedral angles.
7709 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7710 & -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,k))
7711 call matmat2(auxmat(1,1),AEAderg(1,1,1),pizda(1,1))
7712 vv(1)=pizda(1,1)+pizda(2,2)
7713 vv(2)=pizda(2,1)-pizda(1,2)
7715 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7716 & +ekont*(scalar2(AEAb1derg(1,2,1),b1(1,itk))
7717 & -0.5d0*scalar2(vv(1),Ctobr(1,k)))
7719 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7720 & +ekont*(scalar2(AEAb1derg(1,2,1),b1(1,itk))
7721 & -0.5d0*scalar2(vv(1),Ctobr(1,k)))
7723 C Cartesian gradient
7727 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,1),
7729 vv(1)=pizda(1,1)+pizda(2,2)
7730 vv(2)=pizda(2,1)-pizda(1,2)
7731 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7732 & +scalar2(AEAb1derx(1,lll,kkk,iii,2,1),b1(1,itk))
7733 & -0.5d0*scalar2(vv(1),Ctobr(1,k))
7741 C Parallel orientation
7742 C Contribution from graph III
7743 call transpose2(EUg(1,1,l),auxmat(1,1))
7744 call matmat2(AEA(1,1,2),auxmat(1,1),pizda(1,1))
7745 vv(1)=pizda(1,1)-pizda(2,2)
7746 vv(2)=pizda(1,2)+pizda(2,1)
7747 eello5_3=scalar2(AEAb2(1,1,2),Ub2(1,l))
7748 & +0.5d0*scalar2(vv(1),Dtobr2(1,j))
7749 C Explicit gradient in virtual-dihedral angles.
7750 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7751 & +ekont*(scalar2(AEAb2derg(1,2,1,2),Ub2(1,l))
7752 & +0.5d0*scalar2(vv(1),Dtobr2der(1,j)))
7753 call matmat2(AEAderg(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 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7757 & +ekont*(scalar2(AEAb2derg(1,1,1,2),Ub2(1,l))
7758 & +0.5d0*scalar2(vv(1),Dtobr2(1,j)))
7759 call transpose2(EUgder(1,1,l),auxmat1(1,1))
7760 call matmat2(AEA(1,1,2),auxmat1(1,1),pizda(1,1))
7761 vv(1)=pizda(1,1)-pizda(2,2)
7762 vv(2)=pizda(1,2)+pizda(2,1)
7763 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7764 & +ekont*(scalar2(AEAb2(1,1,2),Ub2der(1,l))
7765 & +0.5d0*scalar2(vv(1),Dtobr2(1,j)))
7766 C Cartesian gradient
7770 call matmat2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1),
7772 vv(1)=pizda(1,1)-pizda(2,2)
7773 vv(2)=pizda(1,2)+pizda(2,1)
7774 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7775 & +scalar2(AEAb2derx(1,lll,kkk,iii,1,2),Ub2(1,l))
7776 & +0.5d0*scalar2(vv(1),Dtobr2(1,j))
7781 C Contribution from graph IV
7783 call transpose2(EE(1,1,itl),auxmat(1,1))
7784 call matmat2(auxmat(1,1),AEA(1,1,2),pizda(1,1))
7785 vv(1)=pizda(1,1)+pizda(2,2)
7786 vv(2)=pizda(2,1)-pizda(1,2)
7787 eello5_4=scalar2(AEAb1(1,2,2),b1(1,itl))
7788 & -0.5d0*scalar2(vv(1),Ctobr(1,l))
7789 C Explicit gradient in virtual-dihedral angles.
7790 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7791 & -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,l))
7792 call matmat2(auxmat(1,1),AEAderg(1,1,2),pizda(1,1))
7793 vv(1)=pizda(1,1)+pizda(2,2)
7794 vv(2)=pizda(2,1)-pizda(1,2)
7795 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7796 & +ekont*(scalar2(AEAb1derg(1,2,2),b1(1,itl))
7797 & -0.5d0*scalar2(vv(1),Ctobr(1,l)))
7798 C Cartesian gradient
7802 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7804 vv(1)=pizda(1,1)+pizda(2,2)
7805 vv(2)=pizda(2,1)-pizda(1,2)
7806 derx(lll,kkk,iii)=derx(lll,kkk,iii)
7807 & +scalar2(AEAb1derx(1,lll,kkk,iii,2,2),b1(1,itl))
7808 & -0.5d0*scalar2(vv(1),Ctobr(1,l))
7813 C Antiparallel orientation
7814 C Contribution from graph III
7816 call transpose2(EUg(1,1,j),auxmat(1,1))
7817 call matmat2(AEA(1,1,2),auxmat(1,1),pizda(1,1))
7818 vv(1)=pizda(1,1)-pizda(2,2)
7819 vv(2)=pizda(1,2)+pizda(2,1)
7820 eello5_3=scalar2(AEAb2(1,1,2),Ub2(1,j))
7821 & +0.5d0*scalar2(vv(1),Dtobr2(1,l))
7822 C Explicit gradient in virtual-dihedral angles.
7823 g_corr5_loc(l-1)=g_corr5_loc(l-1)
7824 & +ekont*(scalar2(AEAb2derg(1,2,1,2),Ub2(1,j))
7825 & +0.5d0*scalar2(vv(1),Dtobr2der(1,l)))
7826 call matmat2(AEAderg(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 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7830 & +ekont*(scalar2(AEAb2derg(1,1,1,2),Ub2(1,j))
7831 & +0.5d0*scalar2(vv(1),Dtobr2(1,l)))
7832 call transpose2(EUgder(1,1,j),auxmat1(1,1))
7833 call matmat2(AEA(1,1,2),auxmat1(1,1),pizda(1,1))
7834 vv(1)=pizda(1,1)-pizda(2,2)
7835 vv(2)=pizda(1,2)+pizda(2,1)
7836 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7837 & +ekont*(scalar2(AEAb2(1,1,2),Ub2der(1,j))
7838 & +0.5d0*scalar2(vv(1),Dtobr2(1,l)))
7839 C Cartesian gradient
7843 call matmat2(AEAderx(1,1,lll,kkk,iii,2),auxmat(1,1),
7845 vv(1)=pizda(1,1)-pizda(2,2)
7846 vv(2)=pizda(1,2)+pizda(2,1)
7847 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)
7848 & +scalar2(AEAb2derx(1,lll,kkk,iii,1,2),Ub2(1,j))
7849 & +0.5d0*scalar2(vv(1),Dtobr2(1,l))
7854 C Contribution from graph IV
7856 call transpose2(EE(1,1,itj),auxmat(1,1))
7857 call matmat2(auxmat(1,1),AEA(1,1,2),pizda(1,1))
7858 vv(1)=pizda(1,1)+pizda(2,2)
7859 vv(2)=pizda(2,1)-pizda(1,2)
7860 eello5_4=scalar2(AEAb1(1,2,2),b1(1,itj))
7861 & -0.5d0*scalar2(vv(1),Ctobr(1,j))
7862 C Explicit gradient in virtual-dihedral angles.
7863 g_corr5_loc(j-1)=g_corr5_loc(j-1)
7864 & -0.5d0*ekont*scalar2(vv(1),Ctobrder(1,j))
7865 call matmat2(auxmat(1,1),AEAderg(1,1,2),pizda(1,1))
7866 vv(1)=pizda(1,1)+pizda(2,2)
7867 vv(2)=pizda(2,1)-pizda(1,2)
7868 g_corr5_loc(k-1)=g_corr5_loc(k-1)
7869 & +ekont*(scalar2(AEAb1derg(1,2,2),b1(1,itj))
7870 & -0.5d0*scalar2(vv(1),Ctobr(1,j)))
7871 C Cartesian gradient
7875 call matmat2(auxmat(1,1),AEAderx(1,1,lll,kkk,iii,2),
7877 vv(1)=pizda(1,1)+pizda(2,2)
7878 vv(2)=pizda(2,1)-pizda(1,2)
7879 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)
7880 & +scalar2(AEAb1derx(1,lll,kkk,iii,2,2),b1(1,itj))
7881 & -0.5d0*scalar2(vv(1),Ctobr(1,j))
7887 eel5=eello5_1+eello5_2+eello5_3+eello5_4
7888 cd if (i.eq.2 .and. j.eq.8 .and. k.eq.3 .and. l.eq.7) then
7889 cd write (2,*) 'ijkl',i,j,k,l
7890 cd write (2,*) 'eello5_1',eello5_1,' eello5_2',eello5_2,
7891 cd & ' eello5_3',eello5_3,' eello5_4',eello5_4
7893 cd write(iout,*) 'eello5_1',eello5_1,' eel5_1_num',16*eel5_1_num
7894 cd write(iout,*) 'eello5_2',eello5_2,' eel5_2_num',16*eel5_2_num
7895 cd write(iout,*) 'eello5_3',eello5_3,' eel5_3_num',16*eel5_3_num
7896 cd write(iout,*) 'eello5_4',eello5_4,' eel5_4_num',16*eel5_4_num
7897 if (j.lt.nres-1) then
7904 if (l.lt.nres-1) then
7914 cd write (2,*) 'eij',eij,' ekl',ekl,' ekont',ekont
7915 C 2/11/08 AL Gradients over DC's connecting interacting sites will be
7916 C summed up outside the subrouine as for the other subroutines
7917 C handling long-range interactions. The old code is commented out
7918 C with "cgrad" to keep track of changes.
7920 cgrad ggg1(ll)=eel5*g_contij(ll,1)
7921 cgrad ggg2(ll)=eel5*g_contij(ll,2)
7922 gradcorr5ij=eel5*g_contij(ll,1)+ekont*derx(ll,1,1)
7923 gradcorr5kl=eel5*g_contij(ll,2)+ekont*derx(ll,1,2)
7924 c write (iout,'(a,3i3,a,5f8.3,2i3,a,5f8.3,a,f8.3)')
7925 c & "ecorr5",ll,i,j," derx",derx(ll,2,1),derx(ll,3,1),derx(ll,4,1),
7926 c & derx(ll,5,1),k,l," derx",derx(ll,2,2),derx(ll,3,2),
7927 c & derx(ll,4,2),derx(ll,5,2)," ekont",ekont
7928 c write (iout,'(a,3i3,a,3f8.3,2i3,a,3f8.3)')
7929 c & "ecorr5",ll,i,j," gradcorr5",g_contij(ll,1),derx(ll,1,1),
7931 c & k,l," gradcorr5",g_contij(ll,2),derx(ll,1,2),gradcorr5kl
7932 cold ghalf=0.5d0*eel5*ekl*gacont_hbr(ll,jj,i)
7933 cgrad ghalf=0.5d0*ggg1(ll)
7935 gradcorr5(ll,i)=gradcorr5(ll,i)+ekont*derx(ll,2,1)
7936 gradcorr5(ll,i+1)=gradcorr5(ll,i+1)+ekont*derx(ll,3,1)
7937 gradcorr5(ll,j)=gradcorr5(ll,j)+ekont*derx(ll,4,1)
7938 gradcorr5(ll,j1)=gradcorr5(ll,j1)+ekont*derx(ll,5,1)
7939 gradcorr5_long(ll,j)=gradcorr5_long(ll,j)+gradcorr5ij
7940 gradcorr5_long(ll,i)=gradcorr5_long(ll,i)-gradcorr5ij
7941 cold ghalf=0.5d0*eel5*eij*gacont_hbr(ll,kk,k)
7942 cgrad ghalf=0.5d0*ggg2(ll)
7944 gradcorr5(ll,k)=gradcorr5(ll,k)+ghalf+ekont*derx(ll,2,2)
7945 gradcorr5(ll,k+1)=gradcorr5(ll,k+1)+ekont*derx(ll,3,2)
7946 gradcorr5(ll,l)=gradcorr5(ll,l)+ghalf+ekont*derx(ll,4,2)
7947 gradcorr5(ll,l1)=gradcorr5(ll,l1)+ekont*derx(ll,5,2)
7948 gradcorr5_long(ll,l)=gradcorr5_long(ll,l)+gradcorr5kl
7949 gradcorr5_long(ll,k)=gradcorr5_long(ll,k)-gradcorr5kl
7954 cold gradcorr5(ll,m)=gradcorr5(ll,m)+eel5*ekl*gacont_hbr(ll,jj,i)
7955 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ggg1(ll)
7960 cold gradcorr5(ll,m)=gradcorr5(ll,m)+eel5*eij*gacont_hbr(ll,kk,k)
7961 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ggg2(ll)
7967 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ekont*derx(ll,1,1)
7972 cgrad gradcorr5(ll,m)=gradcorr5(ll,m)+ekont*derx(ll,1,2)
7976 cd write (2,*) iii,g_corr5_loc(iii)
7979 cd write (2,*) 'ekont',ekont
7980 cd write (iout,*) 'eello5',ekont*eel5
7983 c--------------------------------------------------------------------------
7984 double precision function eello6(i,j,k,l,jj,kk)
7985 implicit real*8 (a-h,o-z)
7986 include 'DIMENSIONS'
7987 include 'COMMON.IOUNITS'
7988 include 'COMMON.CHAIN'
7989 include 'COMMON.DERIV'
7990 include 'COMMON.INTERACT'
7991 include 'COMMON.CONTACTS'
7992 include 'COMMON.TORSION'
7993 include 'COMMON.VAR'
7994 include 'COMMON.GEO'
7995 include 'COMMON.FFIELD'
7996 double precision ggg1(3),ggg2(3)
7997 cd if (i.ne.1 .or. j.ne.3 .or. k.ne.2 .or. l.ne.4) then
8002 cd & 'EELLO6: Contacts have occurred for peptide groups',i,j,
8010 cd call checkint6(i,j,k,l,jj,kk,eel6_1_num,eel6_2_num,
8011 cd & eel6_3_num,eel6_4_num,eel6_5_num,eel6_6_num)
8015 derx(lll,kkk,iii)=0.0d0
8019 cd eij=facont_hb(jj,i)
8020 cd ekl=facont_hb(kk,k)
8026 eello6_1=eello6_graph1(i,j,k,l,1,.false.)
8027 eello6_2=eello6_graph1(j,i,l,k,2,.false.)
8028 eello6_3=eello6_graph2(i,j,k,l,jj,kk,.false.)
8029 eello6_4=eello6_graph4(i,j,k,l,jj,kk,1,.false.)
8030 eello6_5=eello6_graph4(j,i,l,k,jj,kk,2,.false.)
8031 eello6_6=eello6_graph3(i,j,k,l,jj,kk,.false.)
8033 eello6_1=eello6_graph1(i,j,k,l,1,.false.)
8034 eello6_2=eello6_graph1(l,k,j,i,2,.true.)
8035 eello6_3=eello6_graph2(i,l,k,j,jj,kk,.true.)
8036 eello6_4=eello6_graph4(i,j,k,l,jj,kk,1,.false.)
8037 if (wturn6.eq.0.0d0 .or. j.ne.i+4) then
8038 eello6_5=eello6_graph4(l,k,j,i,kk,jj,2,.true.)
8042 eello6_6=eello6_graph3(i,l,k,j,jj,kk,.true.)
8044 C If turn contributions are considered, they will be handled separately.
8045 eel6=eello6_1+eello6_2+eello6_3+eello6_4+eello6_5+eello6_6
8046 cd write(iout,*) 'eello6_1',eello6_1!,' eel6_1_num',16*eel6_1_num
8047 cd write(iout,*) 'eello6_2',eello6_2!,' eel6_2_num',16*eel6_2_num
8048 cd write(iout,*) 'eello6_3',eello6_3!,' eel6_3_num',16*eel6_3_num
8049 cd write(iout,*) 'eello6_4',eello6_4!,' eel6_4_num',16*eel6_4_num
8050 cd write(iout,*) 'eello6_5',eello6_5!,' eel6_5_num',16*eel6_5_num
8051 cd write(iout,*) 'eello6_6',eello6_6!,' eel6_6_num',16*eel6_6_num
8053 if (j.lt.nres-1) then
8060 if (l.lt.nres-1) then
8068 cgrad ggg1(ll)=eel6*g_contij(ll,1)
8069 cgrad ggg2(ll)=eel6*g_contij(ll,2)
8070 cold ghalf=0.5d0*eel6*ekl*gacont_hbr(ll,jj,i)
8071 cgrad ghalf=0.5d0*ggg1(ll)
8073 gradcorr6ij=eel6*g_contij(ll,1)+ekont*derx(ll,1,1)
8074 gradcorr6kl=eel6*g_contij(ll,2)+ekont*derx(ll,1,2)
8075 gradcorr6(ll,i)=gradcorr6(ll,i)+ekont*derx(ll,2,1)
8076 gradcorr6(ll,i+1)=gradcorr6(ll,i+1)+ekont*derx(ll,3,1)
8077 gradcorr6(ll,j)=gradcorr6(ll,j)+ekont*derx(ll,4,1)
8078 gradcorr6(ll,j1)=gradcorr6(ll,j1)+ekont*derx(ll,5,1)
8079 gradcorr6_long(ll,j)=gradcorr6_long(ll,j)+gradcorr6ij
8080 gradcorr6_long(ll,i)=gradcorr6_long(ll,i)-gradcorr6ij
8081 cgrad ghalf=0.5d0*ggg2(ll)
8082 cold ghalf=0.5d0*eel6*eij*gacont_hbr(ll,kk,k)
8084 gradcorr6(ll,k)=gradcorr6(ll,k)+ekont*derx(ll,2,2)
8085 gradcorr6(ll,k+1)=gradcorr6(ll,k+1)+ekont*derx(ll,3,2)
8086 gradcorr6(ll,l)=gradcorr6(ll,l)+ekont*derx(ll,4,2)
8087 gradcorr6(ll,l1)=gradcorr6(ll,l1)+ekont*derx(ll,5,2)
8088 gradcorr6_long(ll,l)=gradcorr6_long(ll,l)+gradcorr6kl
8089 gradcorr6_long(ll,k)=gradcorr6_long(ll,k)-gradcorr6kl
8094 cold gradcorr6(ll,m)=gradcorr6(ll,m)+eel6*ekl*gacont_hbr(ll,jj,i)
8095 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ggg1(ll)
8100 cold gradcorr6(ll,m)=gradcorr6(ll,m)+eel6*eij*gacont_hbr(ll,kk,k)
8101 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ggg2(ll)
8107 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ekont*derx(ll,1,1)
8112 cgrad gradcorr6(ll,m)=gradcorr6(ll,m)+ekont*derx(ll,1,2)
8116 cd write (2,*) iii,g_corr6_loc(iii)
8119 cd write (2,*) 'ekont',ekont
8120 cd write (iout,*) 'eello6',ekont*eel6
8123 c--------------------------------------------------------------------------
8124 double precision function eello6_graph1(i,j,k,l,imat,swap)
8125 implicit real*8 (a-h,o-z)
8126 include 'DIMENSIONS'
8127 include 'COMMON.IOUNITS'
8128 include 'COMMON.CHAIN'
8129 include 'COMMON.DERIV'
8130 include 'COMMON.INTERACT'
8131 include 'COMMON.CONTACTS'
8132 include 'COMMON.TORSION'
8133 include 'COMMON.VAR'
8134 include 'COMMON.GEO'
8135 double precision vv(2),vv1(2),pizda(2,2),auxmat(2,2),pizda1(2,2)
8139 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8141 C Parallel Antiparallel
8147 C \ j|/k\| / \ |/k\|l /
8152 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8153 itk=itortyp(itype(k))
8154 s1= scalar2(AEAb1(1,2,imat),CUgb2(1,i))
8155 s2=-scalar2(AEAb2(1,1,imat),Ug2Db1t(1,k))
8156 s3= scalar2(AEAb2(1,1,imat),CUgb2(1,k))
8157 call transpose2(EUgC(1,1,k),auxmat(1,1))
8158 call matmat2(AEA(1,1,imat),auxmat(1,1),pizda1(1,1))
8159 vv1(1)=pizda1(1,1)-pizda1(2,2)
8160 vv1(2)=pizda1(1,2)+pizda1(2,1)
8161 s4=0.5d0*scalar2(vv1(1),Dtobr2(1,i))
8162 vv(1)=AEAb1(1,2,imat)*b1(1,itk)-AEAb1(2,2,imat)*b1(2,itk)
8163 vv(2)=AEAb1(1,2,imat)*b1(2,itk)+AEAb1(2,2,imat)*b1(1,itk)
8164 s5=scalar2(vv(1),Dtobr2(1,i))
8165 cd write (2,*) 's1',s1,' s2',s2,' s3',s3,' s4', s4,' s5',s5
8166 eello6_graph1=-0.5d0*(s1+s2+s3+s4+s5)
8167 if (i.gt.1) g_corr6_loc(i-1)=g_corr6_loc(i-1)
8168 & -0.5d0*ekont*(scalar2(AEAb1(1,2,imat),CUgb2der(1,i))
8169 & -scalar2(AEAb2derg(1,2,1,imat),Ug2Db1t(1,k))
8170 & +scalar2(AEAb2derg(1,2,1,imat),CUgb2(1,k))
8171 & +0.5d0*scalar2(vv1(1),Dtobr2der(1,i))
8172 & +scalar2(vv(1),Dtobr2der(1,i)))
8173 call matmat2(AEAderg(1,1,imat),auxmat(1,1),pizda1(1,1))
8174 vv1(1)=pizda1(1,1)-pizda1(2,2)
8175 vv1(2)=pizda1(1,2)+pizda1(2,1)
8176 vv(1)=AEAb1derg(1,2,imat)*b1(1,itk)-AEAb1derg(2,2,imat)*b1(2,itk)
8177 vv(2)=AEAb1derg(1,2,imat)*b1(2,itk)+AEAb1derg(2,2,imat)*b1(1,itk)
8179 g_corr6_loc(l-1)=g_corr6_loc(l-1)
8180 & +ekont*(-0.5d0*(scalar2(AEAb1derg(1,2,imat),CUgb2(1,i))
8181 & -scalar2(AEAb2derg(1,1,1,imat),Ug2Db1t(1,k))
8182 & +scalar2(AEAb2derg(1,1,1,imat),CUgb2(1,k))
8183 & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))+scalar2(vv(1),Dtobr2(1,i))))
8185 g_corr6_loc(j-1)=g_corr6_loc(j-1)
8186 & +ekont*(-0.5d0*(scalar2(AEAb1derg(1,2,imat),CUgb2(1,i))
8187 & -scalar2(AEAb2derg(1,1,1,imat),Ug2Db1t(1,k))
8188 & +scalar2(AEAb2derg(1,1,1,imat),CUgb2(1,k))
8189 & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))+scalar2(vv(1),Dtobr2(1,i))))
8191 call transpose2(EUgCder(1,1,k),auxmat(1,1))
8192 call matmat2(AEA(1,1,imat),auxmat(1,1),pizda1(1,1))
8193 vv1(1)=pizda1(1,1)-pizda1(2,2)
8194 vv1(2)=pizda1(1,2)+pizda1(2,1)
8195 if (k.gt.1) g_corr6_loc(k-1)=g_corr6_loc(k-1)
8196 & +ekont*(-0.5d0*(-scalar2(AEAb2(1,1,imat),Ug2Db1tder(1,k))
8197 & +scalar2(AEAb2(1,1,imat),CUgb2der(1,k))
8198 & +0.5d0*scalar2(vv1(1),Dtobr2(1,i))))
8207 s1= scalar2(AEAb1derx(1,lll,kkk,iii,2,imat),CUgb2(1,i))
8208 s2=-scalar2(AEAb2derx(1,lll,kkk,iii,1,imat),Ug2Db1t(1,k))
8209 s3= scalar2(AEAb2derx(1,lll,kkk,iii,1,imat),CUgb2(1,k))
8210 call transpose2(EUgC(1,1,k),auxmat(1,1))
8211 call matmat2(AEAderx(1,1,lll,kkk,iii,imat),auxmat(1,1),
8213 vv1(1)=pizda1(1,1)-pizda1(2,2)
8214 vv1(2)=pizda1(1,2)+pizda1(2,1)
8215 s4=0.5d0*scalar2(vv1(1),Dtobr2(1,i))
8216 vv(1)=AEAb1derx(1,lll,kkk,iii,2,imat)*b1(1,itk)
8217 & -AEAb1derx(2,lll,kkk,iii,2,imat)*b1(2,itk)
8218 vv(2)=AEAb1derx(1,lll,kkk,iii,2,imat)*b1(2,itk)
8219 & +AEAb1derx(2,lll,kkk,iii,2,imat)*b1(1,itk)
8220 s5=scalar2(vv(1),Dtobr2(1,i))
8221 derx(lll,kkk,ind)=derx(lll,kkk,ind)-0.5d0*(s1+s2+s3+s4+s5)
8227 c----------------------------------------------------------------------------
8228 double precision function eello6_graph2(i,j,k,l,jj,kk,swap)
8229 implicit real*8 (a-h,o-z)
8230 include 'DIMENSIONS'
8231 include 'COMMON.IOUNITS'
8232 include 'COMMON.CHAIN'
8233 include 'COMMON.DERIV'
8234 include 'COMMON.INTERACT'
8235 include 'COMMON.CONTACTS'
8236 include 'COMMON.TORSION'
8237 include 'COMMON.VAR'
8238 include 'COMMON.GEO'
8240 double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2),
8241 & auxvec1(2),auxvec2(2),auxmat1(2,2)
8244 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8246 C Parallel Antiparallel C
8252 C \ j|/k\| \ |/k\|l C
8257 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8258 cd write (2,*) 'eello6_graph2: i,',i,' j',j,' k',k,' l',l
8259 C AL 7/4/01 s1 would occur in the sixth-order moment,
8260 C but not in a cluster cumulant
8262 s1=dip(1,jj,i)*dip(1,kk,k)
8264 call matvec2(ADtEA1(1,1,1),Ub2(1,k),auxvec(1))
8265 s2=-0.5d0*scalar2(Ub2(1,i),auxvec(1))
8266 call matvec2(ADtEA(1,1,2),Ub2(1,l),auxvec1(1))
8267 s3=-0.5d0*scalar2(Ub2(1,j),auxvec1(1))
8268 call transpose2(EUg(1,1,k),auxmat(1,1))
8269 call matmat2(ADtEA1(1,1,1),auxmat(1,1),pizda(1,1))
8270 vv(1)=pizda(1,1)-pizda(2,2)
8271 vv(2)=pizda(1,2)+pizda(2,1)
8272 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8273 cd write (2,*) 'eello6_graph2:','s1',s1,' s2',s2,' s3',s3,' s4',s4
8275 eello6_graph2=-(s1+s2+s3+s4)
8277 eello6_graph2=-(s2+s3+s4)
8280 C Derivatives in gamma(i-1)
8283 s1=dipderg(1,jj,i)*dip(1,kk,k)
8285 s2=-0.5d0*scalar2(Ub2der(1,i),auxvec(1))
8286 call matvec2(ADtEAderg(1,1,1,2),Ub2(1,l),auxvec2(1))
8287 s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
8288 s4=-0.25d0*scalar2(vv(1),Dtobr2der(1,i))
8290 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s1+s2+s3+s4)
8292 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s2+s3+s4)
8294 c g_corr6_loc(i-1)=g_corr6_loc(i-1)-s3
8296 C Derivatives in gamma(k-1)
8298 s1=dip(1,jj,i)*dipderg(1,kk,k)
8300 call matvec2(ADtEA1(1,1,1),Ub2der(1,k),auxvec2(1))
8301 s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
8302 call matvec2(ADtEAderg(1,1,2,2),Ub2(1,l),auxvec2(1))
8303 s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
8304 call transpose2(EUgder(1,1,k),auxmat1(1,1))
8305 call matmat2(ADtEA1(1,1,1),auxmat1(1,1),pizda(1,1))
8306 vv(1)=pizda(1,1)-pizda(2,2)
8307 vv(2)=pizda(1,2)+pizda(2,1)
8308 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8310 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s1+s2+s3+s4)
8312 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s2+s3+s4)
8314 c g_corr6_loc(k-1)=g_corr6_loc(k-1)-s3
8315 C Derivatives in gamma(j-1) or gamma(l-1)
8318 s1=dipderg(3,jj,i)*dip(1,kk,k)
8320 call matvec2(ADtEA1derg(1,1,1,1),Ub2(1,k),auxvec2(1))
8321 s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
8322 s3=-0.5d0*scalar2(Ub2der(1,j),auxvec1(1))
8323 call matmat2(ADtEA1derg(1,1,1,1),auxmat(1,1),pizda(1,1))
8324 vv(1)=pizda(1,1)-pizda(2,2)
8325 vv(2)=pizda(1,2)+pizda(2,1)
8326 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8329 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*s1
8331 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*s1
8334 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*(s2+s3+s4)
8335 c g_corr6_loc(j-1)=g_corr6_loc(j-1)-s3
8337 C Derivatives in gamma(l-1) or gamma(j-1)
8340 s1=dip(1,jj,i)*dipderg(3,kk,k)
8342 call matvec2(ADtEA1derg(1,1,2,1),Ub2(1,k),auxvec2(1))
8343 s2=-0.5d0*scalar2(Ub2(1,i),auxvec2(1))
8344 call matvec2(ADtEA(1,1,2),Ub2der(1,l),auxvec2(1))
8345 s3=-0.5d0*scalar2(Ub2(1,j),auxvec2(1))
8346 call matmat2(ADtEA1derg(1,1,2,1),auxmat(1,1),pizda(1,1))
8347 vv(1)=pizda(1,1)-pizda(2,2)
8348 vv(2)=pizda(1,2)+pizda(2,1)
8349 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8352 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*s1
8354 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*s1
8357 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s3+s4)
8358 c g_corr6_loc(l-1)=g_corr6_loc(l-1)-s3
8360 C Cartesian derivatives.
8362 write (2,*) 'In eello6_graph2'
8364 write (2,*) 'iii=',iii
8366 write (2,*) 'kkk=',kkk
8368 write (2,'(3(2f10.5),5x)')
8369 & ((ADtEA1derx(jjj,mmm,lll,kkk,iii,1),mmm=1,2),lll=1,3)
8379 s1=dipderx(lll,kkk,1,jj,i)*dip(1,kk,k)
8381 s1=dip(1,jj,i)*dipderx(lll,kkk,1,kk,k)
8384 call matvec2(ADtEA1derx(1,1,lll,kkk,iii,1),Ub2(1,k),
8386 s2=-0.5d0*scalar2(Ub2(1,i),auxvec(1))
8387 call matvec2(ADtEAderx(1,1,lll,kkk,iii,2),Ub2(1,l),
8389 s3=-0.5d0*scalar2(Ub2(1,j),auxvec(1))
8390 call transpose2(EUg(1,1,k),auxmat(1,1))
8391 call matmat2(ADtEA1derx(1,1,lll,kkk,iii,1),auxmat(1,1),
8393 vv(1)=pizda(1,1)-pizda(2,2)
8394 vv(2)=pizda(1,2)+pizda(2,1)
8395 s4=-0.25d0*scalar2(vv(1),Dtobr2(1,i))
8396 cd write (2,*) 's1',s1,' s2',s2,' s3',s3,' s4',s4
8398 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
8400 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
8403 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
8405 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8412 c----------------------------------------------------------------------------
8413 double precision function eello6_graph3(i,j,k,l,jj,kk,swap)
8414 implicit real*8 (a-h,o-z)
8415 include 'DIMENSIONS'
8416 include 'COMMON.IOUNITS'
8417 include 'COMMON.CHAIN'
8418 include 'COMMON.DERIV'
8419 include 'COMMON.INTERACT'
8420 include 'COMMON.CONTACTS'
8421 include 'COMMON.TORSION'
8422 include 'COMMON.VAR'
8423 include 'COMMON.GEO'
8424 double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2)
8426 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8428 C Parallel Antiparallel C
8434 C j|/k\| / |/k\|l / C
8439 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8441 C 4/7/01 AL Component s1 was removed, because it pertains to the respective
8442 C energy moment and not to the cluster cumulant.
8443 iti=itortyp(itype(i))
8444 if (j.lt.nres-1) then
8445 itj1=itortyp(itype(j+1))
8449 itk=itortyp(itype(k))
8450 itk1=itortyp(itype(k+1))
8451 if (l.lt.nres-1) then
8452 itl1=itortyp(itype(l+1))
8457 s1=dip(4,jj,i)*dip(4,kk,k)
8459 call matvec2(AECA(1,1,1),b1(1,itk1),auxvec(1))
8460 s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
8461 call matvec2(AECA(1,1,2),b1(1,itl1),auxvec(1))
8462 s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
8463 call transpose2(EE(1,1,itk),auxmat(1,1))
8464 call matmat2(auxmat(1,1),AECA(1,1,1),pizda(1,1))
8465 vv(1)=pizda(1,1)+pizda(2,2)
8466 vv(2)=pizda(2,1)-pizda(1,2)
8467 s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
8468 cd write (2,*) 'eello6_graph3:','s1',s1,' s2',s2,' s3',s3,' s4',s4,
8469 cd & "sum",-(s2+s3+s4)
8471 eello6_graph3=-(s1+s2+s3+s4)
8473 eello6_graph3=-(s2+s3+s4)
8476 C Derivatives in gamma(k-1)
8477 call matvec2(AECAderg(1,1,2),b1(1,itl1),auxvec(1))
8478 s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
8479 s4=-0.25d0*scalar2(vv(1),Ctobrder(1,k))
8480 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s3+s4)
8481 C Derivatives in gamma(l-1)
8482 call matvec2(AECAderg(1,1,1),b1(1,itk1),auxvec(1))
8483 s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
8484 call matmat2(auxmat(1,1),AECAderg(1,1,1),pizda(1,1))
8485 vv(1)=pizda(1,1)+pizda(2,2)
8486 vv(2)=pizda(2,1)-pizda(1,2)
8487 s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
8488 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s4)
8489 C Cartesian derivatives.
8495 s1=dipderx(lll,kkk,4,jj,i)*dip(4,kk,k)
8497 s1=dip(4,jj,i)*dipderx(lll,kkk,4,kk,k)
8500 call matvec2(AECAderx(1,1,lll,kkk,iii,1),b1(1,itk1),
8502 s2=0.5d0*scalar2(b1(1,itk),auxvec(1))
8503 call matvec2(AECAderx(1,1,lll,kkk,iii,2),b1(1,itl1),
8505 s3=0.5d0*scalar2(b1(1,itj1),auxvec(1))
8506 call matmat2(auxmat(1,1),AECAderx(1,1,lll,kkk,iii,1),
8508 vv(1)=pizda(1,1)+pizda(2,2)
8509 vv(2)=pizda(2,1)-pizda(1,2)
8510 s4=-0.25d0*scalar2(vv(1),Ctobr(1,k))
8512 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
8514 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
8517 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
8519 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8521 c derx(lll,kkk,iii)=derx(lll,kkk,iii)-s4
8527 c----------------------------------------------------------------------------
8528 double precision function eello6_graph4(i,j,k,l,jj,kk,imat,swap)
8529 implicit real*8 (a-h,o-z)
8530 include 'DIMENSIONS'
8531 include 'COMMON.IOUNITS'
8532 include 'COMMON.CHAIN'
8533 include 'COMMON.DERIV'
8534 include 'COMMON.INTERACT'
8535 include 'COMMON.CONTACTS'
8536 include 'COMMON.TORSION'
8537 include 'COMMON.VAR'
8538 include 'COMMON.GEO'
8539 include 'COMMON.FFIELD'
8540 double precision vv(2),pizda(2,2),auxmat(2,2),auxvec(2),
8541 & auxvec1(2),auxmat1(2,2)
8543 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8545 C Parallel Antiparallel C
8551 C \ j|/k\| \ |/k\|l C
8556 CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
8558 C 4/7/01 AL Component s1 was removed, because it pertains to the respective
8559 C energy moment and not to the cluster cumulant.
8560 cd write (2,*) 'eello_graph4: wturn6',wturn6
8561 iti=itortyp(itype(i))
8562 itj=itortyp(itype(j))
8563 if (j.lt.nres-1) then
8564 itj1=itortyp(itype(j+1))
8568 itk=itortyp(itype(k))
8569 if (k.lt.nres-1) then
8570 itk1=itortyp(itype(k+1))
8574 itl=itortyp(itype(l))
8575 if (l.lt.nres-1) then
8576 itl1=itortyp(itype(l+1))
8580 cd write (2,*) 'eello6_graph4:','i',i,' j',j,' k',k,' l',l
8581 cd write (2,*) 'iti',iti,' itj',itj,' itj1',itj1,' itk',itk,
8582 cd & ' itl',itl,' itl1',itl1
8585 s1=dip(3,jj,i)*dip(3,kk,k)
8587 s1=dip(2,jj,j)*dip(2,kk,l)
8590 call matvec2(AECA(1,1,imat),Ub2(1,k),auxvec(1))
8591 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8593 call matvec2(ADtEA1(1,1,3-imat),b1(1,itj1),auxvec1(1))
8594 s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
8596 call matvec2(ADtEA1(1,1,3-imat),b1(1,itl1),auxvec1(1))
8597 s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
8599 call transpose2(EUg(1,1,k),auxmat(1,1))
8600 call matmat2(AECA(1,1,imat),auxmat(1,1),pizda(1,1))
8601 vv(1)=pizda(1,1)-pizda(2,2)
8602 vv(2)=pizda(2,1)+pizda(1,2)
8603 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8604 cd write (2,*) 'eello6_graph4:','s1',s1,' s2',s2,' s3',s3,' s4',s4
8606 eello6_graph4=-(s1+s2+s3+s4)
8608 eello6_graph4=-(s2+s3+s4)
8610 C Derivatives in gamma(i-1)
8614 s1=dipderg(2,jj,i)*dip(3,kk,k)
8616 s1=dipderg(4,jj,j)*dip(2,kk,l)
8619 s2=0.5d0*scalar2(Ub2der(1,i),auxvec(1))
8621 call matvec2(ADtEA1derg(1,1,1,3-imat),b1(1,itj1),auxvec1(1))
8622 s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
8624 call matvec2(ADtEA1derg(1,1,1,3-imat),b1(1,itl1),auxvec1(1))
8625 s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
8627 s4=0.25d0*scalar2(vv(1),Dtobr2der(1,i))
8628 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8629 cd write (2,*) 'turn6 derivatives'
8631 gel_loc_turn6(i-1)=gel_loc_turn6(i-1)-ekont*(s1+s2+s3+s4)
8633 gel_loc_turn6(i-1)=gel_loc_turn6(i-1)-ekont*(s2+s3+s4)
8637 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s1+s2+s3+s4)
8639 g_corr6_loc(i-1)=g_corr6_loc(i-1)-ekont*(s2+s3+s4)
8643 C Derivatives in gamma(k-1)
8646 s1=dip(3,jj,i)*dipderg(2,kk,k)
8648 s1=dip(2,jj,j)*dipderg(4,kk,l)
8651 call matvec2(AECA(1,1,imat),Ub2der(1,k),auxvec1(1))
8652 s2=0.5d0*scalar2(Ub2(1,i),auxvec1(1))
8654 call matvec2(ADtEA1derg(1,1,2,3-imat),b1(1,itj1),auxvec1(1))
8655 s3=-0.5d0*scalar2(b1(1,itj),auxvec1(1))
8657 call matvec2(ADtEA1derg(1,1,2,3-imat),b1(1,itl1),auxvec1(1))
8658 s3=-0.5d0*scalar2(b1(1,itl),auxvec1(1))
8660 call transpose2(EUgder(1,1,k),auxmat1(1,1))
8661 call matmat2(AECA(1,1,imat),auxmat1(1,1),pizda(1,1))
8662 vv(1)=pizda(1,1)-pizda(2,2)
8663 vv(2)=pizda(2,1)+pizda(1,2)
8664 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8665 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8667 gel_loc_turn6(k-1)=gel_loc_turn6(k-1)-ekont*(s1+s2+s3+s4)
8669 gel_loc_turn6(k-1)=gel_loc_turn6(k-1)-ekont*(s2+s3+s4)
8673 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s1+s2+s3+s4)
8675 g_corr6_loc(k-1)=g_corr6_loc(k-1)-ekont*(s2+s3+s4)
8678 C Derivatives in gamma(j-1) or gamma(l-1)
8679 if (l.eq.j+1 .and. l.gt.1) then
8680 call matvec2(AECAderg(1,1,imat),Ub2(1,k),auxvec(1))
8681 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8682 call matmat2(AECAderg(1,1,imat),auxmat(1,1),pizda(1,1))
8683 vv(1)=pizda(1,1)-pizda(2,2)
8684 vv(2)=pizda(2,1)+pizda(1,2)
8685 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8686 g_corr6_loc(l-1)=g_corr6_loc(l-1)-ekont*(s2+s4)
8687 else if (j.gt.1) then
8688 call matvec2(AECAderg(1,1,imat),Ub2(1,k),auxvec(1))
8689 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8690 call matmat2(AECAderg(1,1,imat),auxmat(1,1),pizda(1,1))
8691 vv(1)=pizda(1,1)-pizda(2,2)
8692 vv(2)=pizda(2,1)+pizda(1,2)
8693 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8694 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8695 gel_loc_turn6(j-1)=gel_loc_turn6(j-1)-ekont*(s2+s4)
8697 g_corr6_loc(j-1)=g_corr6_loc(j-1)-ekont*(s2+s4)
8700 C Cartesian derivatives.
8707 s1=dipderx(lll,kkk,3,jj,i)*dip(3,kk,k)
8709 s1=dipderx(lll,kkk,2,jj,j)*dip(2,kk,l)
8713 s1=dip(3,jj,i)*dipderx(lll,kkk,3,kk,k)
8715 s1=dip(2,jj,j)*dipderx(lll,kkk,2,kk,l)
8719 call matvec2(AECAderx(1,1,lll,kkk,iii,imat),Ub2(1,k),
8721 s2=0.5d0*scalar2(Ub2(1,i),auxvec(1))
8723 call matvec2(ADtEA1derx(1,1,lll,kkk,iii,3-imat),
8724 & b1(1,itj1),auxvec(1))
8725 s3=-0.5d0*scalar2(b1(1,itj),auxvec(1))
8727 call matvec2(ADtEA1derx(1,1,lll,kkk,iii,3-imat),
8728 & b1(1,itl1),auxvec(1))
8729 s3=-0.5d0*scalar2(b1(1,itl),auxvec(1))
8731 call matmat2(AECAderx(1,1,lll,kkk,iii,imat),auxmat(1,1),
8733 vv(1)=pizda(1,1)-pizda(2,2)
8734 vv(2)=pizda(2,1)+pizda(1,2)
8735 s4=0.25d0*scalar2(vv(1),Dtobr2(1,i))
8737 if (wturn6.gt.0.0d0 .and. k.eq.l+4 .and. i.eq.j+2) then
8739 derx_turn(lll,kkk,3-iii)=derx_turn(lll,kkk,3-iii)
8742 derx_turn(lll,kkk,3-iii)=derx_turn(lll,kkk,3-iii)
8745 derx_turn(lll,kkk,iii)=derx_turn(lll,kkk,iii)-s3
8748 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-(s1+s2+s4)
8750 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-(s2+s4)
8752 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8756 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s1+s2+s4)
8758 derx(lll,kkk,iii)=derx(lll,kkk,iii)-(s2+s4)
8761 derx(lll,kkk,iii)=derx(lll,kkk,iii)-s3
8763 derx(lll,kkk,3-iii)=derx(lll,kkk,3-iii)-s3
8771 c----------------------------------------------------------------------------
8772 double precision function eello_turn6(i,jj,kk)
8773 implicit real*8 (a-h,o-z)
8774 include 'DIMENSIONS'
8775 include 'COMMON.IOUNITS'
8776 include 'COMMON.CHAIN'
8777 include 'COMMON.DERIV'
8778 include 'COMMON.INTERACT'
8779 include 'COMMON.CONTACTS'
8780 include 'COMMON.TORSION'
8781 include 'COMMON.VAR'
8782 include 'COMMON.GEO'
8783 double precision vtemp1(2),vtemp2(2),vtemp3(2),vtemp4(2),
8784 & atemp(2,2),auxmat(2,2),achuj_temp(2,2),gtemp(2,2),gvec(2),
8786 double precision vtemp1d(2),vtemp2d(2),vtemp3d(2),vtemp4d(2),
8787 & atempd(2,2),auxmatd(2,2),achuj_tempd(2,2),gtempd(2,2),gvecd(2)
8788 C 4/7/01 AL Components s1, s8, and s13 were removed, because they pertain to
8789 C the respective energy moment and not to the cluster cumulant.
8798 iti=itortyp(itype(i))
8799 itk=itortyp(itype(k))
8800 itk1=itortyp(itype(k+1))
8801 itl=itortyp(itype(l))
8802 itj=itortyp(itype(j))
8803 cd write (2,*) 'itk',itk,' itk1',itk1,' itl',itl,' itj',itj
8804 cd write (2,*) 'i',i,' k',k,' j',j,' l',l
8805 cd if (i.ne.1 .or. j.ne.3 .or. k.ne.2 .or. l.ne.4) then
8810 cd & 'EELLO6: Contacts have occurred for peptide groups',i,j,
8812 cd call checkint_turn6(i,jj,kk,eel_turn6_num)
8816 derx_turn(lll,kkk,iii)=0.0d0
8823 eello6_5=eello6_graph4(l,k,j,i,kk,jj,2,.true.)
8825 cd write (2,*) 'eello6_5',eello6_5
8827 call transpose2(AEA(1,1,1),auxmat(1,1))
8828 call matmat2(EUg(1,1,i+1),auxmat(1,1),auxmat(1,1))
8829 ss1=scalar2(Ub2(1,i+2),b1(1,itl))
8830 s1 = (auxmat(1,1)+auxmat(2,2))*ss1
8832 call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1(1))
8833 call matvec2(AEA(1,1,1),vtemp1(1),vtemp1(1))
8834 s2 = scalar2(b1(1,itk),vtemp1(1))
8836 call transpose2(AEA(1,1,2),atemp(1,1))
8837 call matmat2(atemp(1,1),EUg(1,1,i+4),atemp(1,1))
8838 call matvec2(Ug2(1,1,i+2),dd(1,1,itk1),vtemp2(1))
8839 s8 = -(atemp(1,1)+atemp(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
8841 call matmat2(EUg(1,1,i+3),AEA(1,1,2),auxmat(1,1))
8842 call matvec2(auxmat(1,1),Ub2(1,i+4),vtemp3(1))
8843 s12 = scalar2(Ub2(1,i+2),vtemp3(1))
8845 call transpose2(a_chuj(1,1,kk,i+1),achuj_temp(1,1))
8846 call matmat2(achuj_temp(1,1),EUg(1,1,i+2),gtemp(1,1))
8847 call matmat2(gtemp(1,1),EUg(1,1,i+3),gtemp(1,1))
8848 call matvec2(a_chuj(1,1,jj,i),Ub2(1,i+4),vtemp4(1))
8849 ss13 = scalar2(b1(1,itk),vtemp4(1))
8850 s13 = (gtemp(1,1)+gtemp(2,2))*ss13
8852 c write (2,*) 's1,s2,s8,s12,s13',s1,s2,s8,s12,s13
8858 eel_turn6 = eello6_5 - 0.5d0*(s1+s2+s12+s8+s13)
8859 C Derivatives in gamma(i+2)
8863 call transpose2(AEA(1,1,1),auxmatd(1,1))
8864 call matmat2(EUgder(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8865 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
8866 call transpose2(AEAderg(1,1,2),atempd(1,1))
8867 call matmat2(atempd(1,1),EUg(1,1,i+4),atempd(1,1))
8868 s8d = -(atempd(1,1)+atempd(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
8870 call matmat2(EUg(1,1,i+3),AEAderg(1,1,2),auxmatd(1,1))
8871 call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
8872 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
8878 gel_loc_turn6(i)=gel_loc_turn6(i)-0.5d0*ekont*(s1d+s8d+s12d)
8879 C Derivatives in gamma(i+3)
8881 call transpose2(AEA(1,1,1),auxmatd(1,1))
8882 call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8883 ss1d=scalar2(Ub2der(1,i+2),b1(1,itl))
8884 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1d
8886 call matvec2(EUgder(1,1,i+2),b1(1,itl),vtemp1d(1))
8887 call matvec2(AEA(1,1,1),vtemp1d(1),vtemp1d(1))
8888 s2d = scalar2(b1(1,itk),vtemp1d(1))
8890 call matvec2(Ug2der(1,1,i+2),dd(1,1,itk1),vtemp2d(1))
8891 s8d = -(atemp(1,1)+atemp(2,2))*scalar2(cc(1,1,itl),vtemp2d(1))
8893 s12d = scalar2(Ub2der(1,i+2),vtemp3(1))
8895 call matmat2(achuj_temp(1,1),EUgder(1,1,i+2),gtempd(1,1))
8896 call matmat2(gtempd(1,1),EUg(1,1,i+3),gtempd(1,1))
8897 s13d = (gtempd(1,1)+gtempd(2,2))*ss13
8905 gel_loc_turn6(i+1)=gel_loc_turn6(i+1)
8906 & -0.5d0*ekont*(s1d+s2d+s8d+s12d+s13d)
8908 gel_loc_turn6(i+1)=gel_loc_turn6(i+1)
8909 & -0.5d0*ekont*(s2d+s12d)
8911 C Derivatives in gamma(i+4)
8912 call matmat2(EUgder(1,1,i+3),AEA(1,1,2),auxmatd(1,1))
8913 call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
8914 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
8916 call matmat2(achuj_temp(1,1),EUg(1,1,i+2),gtempd(1,1))
8917 call matmat2(gtempd(1,1),EUgder(1,1,i+3),gtempd(1,1))
8918 s13d = (gtempd(1,1)+gtempd(2,2))*ss13
8926 gel_loc_turn6(i+2)=gel_loc_turn6(i+2)-0.5d0*ekont*(s12d+s13d)
8928 gel_loc_turn6(i+2)=gel_loc_turn6(i+2)-0.5d0*ekont*(s12d)
8930 C Derivatives in gamma(i+5)
8932 call transpose2(AEAderg(1,1,1),auxmatd(1,1))
8933 call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8934 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
8936 call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1d(1))
8937 call matvec2(AEAderg(1,1,1),vtemp1d(1),vtemp1d(1))
8938 s2d = scalar2(b1(1,itk),vtemp1d(1))
8940 call transpose2(AEA(1,1,2),atempd(1,1))
8941 call matmat2(atempd(1,1),EUgder(1,1,i+4),atempd(1,1))
8942 s8d = -(atempd(1,1)+atempd(2,2))*scalar2(cc(1,1,itl),vtemp2(1))
8944 call matvec2(auxmat(1,1),Ub2der(1,i+4),vtemp3d(1))
8945 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
8947 call matvec2(a_chuj(1,1,jj,i),Ub2der(1,i+4),vtemp4d(1))
8948 ss13d = scalar2(b1(1,itk),vtemp4d(1))
8949 s13d = (gtemp(1,1)+gtemp(2,2))*ss13d
8957 gel_loc_turn6(i+3)=gel_loc_turn6(i+3)
8958 & -0.5d0*ekont*(s1d+s2d+s8d+s12d+s13d)
8960 gel_loc_turn6(i+3)=gel_loc_turn6(i+3)
8961 & -0.5d0*ekont*(s2d+s12d)
8963 C Cartesian derivatives
8968 call transpose2(AEAderx(1,1,lll,kkk,iii,1),auxmatd(1,1))
8969 call matmat2(EUg(1,1,i+1),auxmatd(1,1),auxmatd(1,1))
8970 s1d = (auxmatd(1,1)+auxmatd(2,2))*ss1
8972 call matvec2(EUg(1,1,i+2),b1(1,itl),vtemp1(1))
8973 call matvec2(AEAderx(1,1,lll,kkk,iii,1),vtemp1(1),
8975 s2d = scalar2(b1(1,itk),vtemp1d(1))
8977 call transpose2(AEAderx(1,1,lll,kkk,iii,2),atempd(1,1))
8978 call matmat2(atempd(1,1),EUg(1,1,i+4),atempd(1,1))
8979 s8d = -(atempd(1,1)+atempd(2,2))*
8980 & scalar2(cc(1,1,itl),vtemp2(1))
8982 call matmat2(EUg(1,1,i+3),AEAderx(1,1,lll,kkk,iii,2),
8984 call matvec2(auxmatd(1,1),Ub2(1,i+4),vtemp3d(1))
8985 s12d = scalar2(Ub2(1,i+2),vtemp3d(1))
8992 derx_turn(lll,kkk,iii) = derx_turn(lll,kkk,iii)
8995 derx_turn(lll,kkk,iii) = derx_turn(lll,kkk,iii)
8999 derx_turn(lll,kkk,3-iii) = derx_turn(lll,kkk,3-iii)
9000 & - 0.5d0*(s8d+s12d)
9002 derx_turn(lll,kkk,3-iii) = derx_turn(lll,kkk,3-iii)
9011 call transpose2(a_chuj_der(1,1,lll,kkk,kk,i+1),
9013 call matmat2(achuj_tempd(1,1),EUg(1,1,i+2),gtempd(1,1))
9014 call matmat2(gtempd(1,1),EUg(1,1,i+3),gtempd(1,1))
9015 s13d=(gtempd(1,1)+gtempd(2,2))*ss13
9016 derx_turn(lll,kkk,2) = derx_turn(lll,kkk,2)-0.5d0*s13d
9017 call matvec2(a_chuj_der(1,1,lll,kkk,jj,i),Ub2(1,i+4),
9019 ss13d = scalar2(b1(1,itk),vtemp4d(1))
9020 s13d = (gtemp(1,1)+gtemp(2,2))*ss13d
9021 derx_turn(lll,kkk,1) = derx_turn(lll,kkk,1)-0.5d0*s13d
9025 cd write(iout,*) 'eel6_turn6',eel_turn6,' eel_turn6_num',
9026 cd & 16*eel_turn6_num
9028 if (j.lt.nres-1) then
9035 if (l.lt.nres-1) then
9043 cgrad ggg1(ll)=eel_turn6*g_contij(ll,1)
9044 cgrad ggg2(ll)=eel_turn6*g_contij(ll,2)
9045 cgrad ghalf=0.5d0*ggg1(ll)
9047 gturn6ij=eel_turn6*g_contij(ll,1)+ekont*derx_turn(ll,1,1)
9048 gturn6kl=eel_turn6*g_contij(ll,2)+ekont*derx_turn(ll,1,2)
9049 gcorr6_turn(ll,i)=gcorr6_turn(ll,i)!+ghalf
9050 & +ekont*derx_turn(ll,2,1)
9051 gcorr6_turn(ll,i+1)=gcorr6_turn(ll,i+1)+ekont*derx_turn(ll,3,1)
9052 gcorr6_turn(ll,j)=gcorr6_turn(ll,j)!+ghalf
9053 & +ekont*derx_turn(ll,4,1)
9054 gcorr6_turn(ll,j1)=gcorr6_turn(ll,j1)+ekont*derx_turn(ll,5,1)
9055 gcorr6_turn_long(ll,j)=gcorr6_turn_long(ll,j)+gturn6ij
9056 gcorr6_turn_long(ll,i)=gcorr6_turn_long(ll,i)-gturn6ij
9057 cgrad ghalf=0.5d0*ggg2(ll)
9059 gcorr6_turn(ll,k)=gcorr6_turn(ll,k)!+ghalf
9060 & +ekont*derx_turn(ll,2,2)
9061 gcorr6_turn(ll,k+1)=gcorr6_turn(ll,k+1)+ekont*derx_turn(ll,3,2)
9062 gcorr6_turn(ll,l)=gcorr6_turn(ll,l)!+ghalf
9063 & +ekont*derx_turn(ll,4,2)
9064 gcorr6_turn(ll,l1)=gcorr6_turn(ll,l1)+ekont*derx_turn(ll,5,2)
9065 gcorr6_turn_long(ll,l)=gcorr6_turn_long(ll,l)+gturn6kl
9066 gcorr6_turn_long(ll,k)=gcorr6_turn_long(ll,k)-gturn6kl
9071 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ggg1(ll)
9076 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ggg2(ll)
9082 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ekont*derx_turn(ll,1,1)
9087 cgrad gcorr6_turn(ll,m)=gcorr6_turn(ll,m)+ekont*derx_turn(ll,1,2)
9091 cd write (2,*) iii,g_corr6_loc(iii)
9093 eello_turn6=ekont*eel_turn6
9094 cd write (2,*) 'ekont',ekont
9095 cd write (2,*) 'eel_turn6',ekont*eel_turn6
9099 C-----------------------------------------------------------------------------
9100 double precision function scalar(u,v)
9101 !DIR$ INLINEALWAYS scalar
9103 cDEC$ ATTRIBUTES FORCEINLINE::scalar
9106 double precision u(3),v(3)
9107 cd double precision sc
9115 scalar=u(1)*v(1)+u(2)*v(2)+u(3)*v(3)
9118 crc-------------------------------------------------
9119 SUBROUTINE MATVEC2(A1,V1,V2)
9120 !DIR$ INLINEALWAYS MATVEC2
9122 cDEC$ ATTRIBUTES FORCEINLINE::MATVEC2
9124 implicit real*8 (a-h,o-z)
9125 include 'DIMENSIONS'
9126 DIMENSION A1(2,2),V1(2),V2(2)
9130 c 3 VI=VI+A1(I,K)*V1(K)
9134 vaux1=a1(1,1)*v1(1)+a1(1,2)*v1(2)
9135 vaux2=a1(2,1)*v1(1)+a1(2,2)*v1(2)
9140 C---------------------------------------
9141 SUBROUTINE MATMAT2(A1,A2,A3)
9143 cDEC$ ATTRIBUTES FORCEINLINE::MATMAT2
9145 implicit real*8 (a-h,o-z)
9146 include 'DIMENSIONS'
9147 DIMENSION A1(2,2),A2(2,2),A3(2,2)
9148 c DIMENSION AI3(2,2)
9152 c A3IJ=A3IJ+A1(I,K)*A2(K,J)
9158 ai3_11=a1(1,1)*a2(1,1)+a1(1,2)*a2(2,1)
9159 ai3_12=a1(1,1)*a2(1,2)+a1(1,2)*a2(2,2)
9160 ai3_21=a1(2,1)*a2(1,1)+a1(2,2)*a2(2,1)
9161 ai3_22=a1(2,1)*a2(1,2)+a1(2,2)*a2(2,2)
9169 c-------------------------------------------------------------------------
9170 double precision function scalar2(u,v)
9171 !DIR$ INLINEALWAYS scalar2
9173 double precision u(2),v(2)
9176 scalar2=u(1)*v(1)+u(2)*v(2)
9180 C-----------------------------------------------------------------------------
9182 subroutine transpose2(a,at)
9183 !DIR$ INLINEALWAYS transpose2
9185 cDEC$ ATTRIBUTES FORCEINLINE::transpose2
9188 double precision a(2,2),at(2,2)
9195 c--------------------------------------------------------------------------
9196 subroutine transpose(n,a,at)
9199 double precision a(n,n),at(n,n)
9207 C---------------------------------------------------------------------------
9208 subroutine prodmat3(a1,a2,kk,transp,prod)
9209 !DIR$ INLINEALWAYS prodmat3
9211 cDEC$ ATTRIBUTES FORCEINLINE::prodmat3
9215 double precision a1(2,2),a2(2,2),a2t(2,2),kk(2,2),prod(2,2)
9217 crc double precision auxmat(2,2),prod_(2,2)
9220 crc call transpose2(kk(1,1),auxmat(1,1))
9221 crc call matmat2(a1(1,1),auxmat(1,1),auxmat(1,1))
9222 crc call matmat2(auxmat(1,1),a2(1,1),prod_(1,1))
9224 prod(1,1)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(1,2))*a2(1,1)
9225 & +(a1(1,1)*kk(2,1)+a1(1,2)*kk(2,2))*a2(2,1)
9226 prod(1,2)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(1,2))*a2(1,2)
9227 & +(a1(1,1)*kk(2,1)+a1(1,2)*kk(2,2))*a2(2,2)
9228 prod(2,1)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(1,2))*a2(1,1)
9229 & +(a1(2,1)*kk(2,1)+a1(2,2)*kk(2,2))*a2(2,1)
9230 prod(2,2)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(1,2))*a2(1,2)
9231 & +(a1(2,1)*kk(2,1)+a1(2,2)*kk(2,2))*a2(2,2)
9234 crc call matmat2(a1(1,1),kk(1,1),auxmat(1,1))
9235 crc call matmat2(auxmat(1,1),a2(1,1),prod_(1,1))
9237 prod(1,1)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(2,1))*a2(1,1)
9238 & +(a1(1,1)*kk(1,2)+a1(1,2)*kk(2,2))*a2(2,1)
9239 prod(1,2)=(a1(1,1)*kk(1,1)+a1(1,2)*kk(2,1))*a2(1,2)
9240 & +(a1(1,1)*kk(1,2)+a1(1,2)*kk(2,2))*a2(2,2)
9241 prod(2,1)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(2,1))*a2(1,1)
9242 & +(a1(2,1)*kk(1,2)+a1(2,2)*kk(2,2))*a2(2,1)
9243 prod(2,2)=(a1(2,1)*kk(1,1)+a1(2,2)*kk(2,1))*a2(1,2)
9244 & +(a1(2,1)*kk(1,2)+a1(2,2)*kk(2,2))*a2(2,2)
9247 c call transpose2(a2(1,1),a2t(1,1))
9250 crc print *,((prod_(i,j),i=1,2),j=1,2)
9251 crc print *,((prod(i,j),i=1,2),j=1,2)