correction in shield
[unres.git] / source / unres / src_MD-M / energy_p_new_barrier.F
index a889c75..393ff9a 100644 (file)
@@ -142,8 +142,10 @@ C the shielding factor is set this factor is describing how each
 C peptide group is shielded by side-chains
 C the matrix - shield_fac(i) the i index describe the ith between i and i+1
 C      write (iout,*) "shield_mode",shield_mode
-      if (shield_mode.gt.0) then
+      if (shield_mode.eq.1) then
        call set_shield_fac
+      else if  (shield_mode.eq.2) then
+       call set_shield_fac2
       endif
 c      print *,"Processor",myrank," left VEC_AND_DERIV"
       if (ipot.lt.6) then
@@ -201,7 +203,14 @@ C
 C Calculate the virtual-bond-angle energy.
 C
       if (wang.gt.0d0) then
+       if ((tor_mode.eq.0).or.(tor_mode.eq.2)) then
         call ebend(ebe,ethetacnstr)
+        endif
+C ebend kcc is Kubo cumulant clustered rigorous attemp to derive the
+C energy function
+       if ((tor_mode.eq.1).or.(tor_mode.eq.2)) then
+         call ebend_kcc(ebe,ethetacnstr)
+        endif
       else
         ebe=0
         ethetacnstr=0
@@ -217,8 +226,16 @@ C
 C Calculate the virtual-bond torsional energy.
 C
 cd    print *,'nterm=',nterm
+C      print *,"tor",tor_mode
       if (wtor.gt.0) then
+       if ((tor_mode.eq.0).or.(tor_mode.eq.2)) then
        call etor(etors,edihcnstr)
+       endif
+C etor kcc is Kubo cumulant clustered rigorous attemp to derive the
+C energy function
+       if ((tor_mode.eq.1).or.(tor_mode.eq.2)) then
+       call etor_kcc(etors,edihcnstr)
+       endif
       else
        etors=0
        edihcnstr=0
@@ -227,7 +244,7 @@ c      print *,"Processor",myrank," computed Utor"
 C
 C 6/23/01 Calculate double-torsional energy
 C
-      if (wtor_d.gt.0) then
+      if ((wtor_d.gt.0).and.((tor_mode.eq.0).or.(tor_mode.eq.2))) then
        call etor_d(etors_d)
       else
        etors_d=0
@@ -7432,6 +7449,225 @@ C          v1cij=v1c(1,j,itori,itori1,itori2,iblock,ntblock)
       return
       end
 #endif
+C----------------------------------------------------------------------------------
+C The rigorous attempt to derive energy function
+      subroutine etor_kcc(etors,edihcnstr)
+      implicit real*8 (a-h,o-z)
+      include 'DIMENSIONS'
+      include 'COMMON.VAR'
+      include 'COMMON.GEO'
+      include 'COMMON.LOCAL'
+      include 'COMMON.TORSION'
+      include 'COMMON.INTERACT'
+      include 'COMMON.DERIV'
+      include 'COMMON.CHAIN'
+      include 'COMMON.NAMES'
+      include 'COMMON.IOUNITS'
+      include 'COMMON.FFIELD'
+      include 'COMMON.TORCNSTR'
+      include 'COMMON.CONTROL'
+      logical lprn
+      double precision thybt1(maxtermkcc),thybt2(maxtermkcc)
+C Set lprn=.true. for debugging
+      lprn=.false.
+c     lprn=.true.
+C      print *,"wchodze kcc"
+      if (tor_mode.ne.2) then
+      etors=0.0D0
+      endif
+      do i=iphi_start,iphi_end
+C ANY TWO ARE DUMMY ATOMS in row CYCLE
+c        if (((itype(i-3).eq.ntyp1).and.(itype(i-2).eq.ntyp1)).or.
+c     &      ((itype(i-2).eq.ntyp1).and.(itype(i-1).eq.ntyp1))  .or.
+c     &      ((itype(i-1).eq.ntyp1).and.(itype(i).eq.ntyp1))) cycle
+        if (itype(i-2).eq.ntyp1.or. itype(i-1).eq.ntyp1
+     &      .or. itype(i).eq.ntyp1 .or. itype(i-3).eq.ntyp1) cycle
+        itori=itortyp_kcc(itype(i-2))
+        itori1=itortyp_kcc(itype(i-1))
+        phii=phi(i)
+        glocig=0.0D0
+        glocit1=0.0d0
+        glocit2=0.0d0
+        sumnonchebyshev=0.0d0
+        sumchebyshev=0.0d0
+C to avoid multiple devision by 2
+        theti22=0.5d0*theta(i)
+C theta 12 is the theta_1 /2
+C theta 22 is theta_2 /2
+        theti12=0.5d0*theta(i-1)
+C and appropriate sinus function
+        sinthet2=dsin(theta(i))
+        sinthet1=dsin(theta(i-1))
+        costhet1=dcos(theta(i-1))
+        costhet2=dcos(theta(i))
+C to speed up lets store its mutliplication
+         sint1t2=sinthet2*sinthet1        
+C \sum_{i=1}^n (sin(theta_1) * sin(theta_2))^n * (c_n* cos(n*gamma)
+C +d_n*sin(n*gamma)) *
+C \sum_{i=1}^m (1+a_m*Tb_m(cos(theta_1 /2))+b_m*Tb_m(cos(theta_2 /2))) 
+C we have two sum 1) Non-Chebyshev which is with n and gamma
+        do j=1,nterm_kcc(itori,itori1)
+
+          v1ij=v1_kcc(j,itori,itori1)
+          v2ij=v2_kcc(j,itori,itori1)
+C v1ij is c_n and d_n in euation above
+          cosphi=dcos(j*phii)
+          sinphi=dsin(j*phii)
+          sint1t2n=sint1t2**j
+          sumnonchebyshev=
+     &                    sint1t2n*(v1ij*cosphi+v2ij*sinphi)
+          actval=sint1t2n*(v1ij*cosphi+v2ij*sinphi)
+C          etors=etors+sint1t2n*(v1ij*cosphi+v2ij*sinphi)
+C          if (energy_dec) etors_ii=etors_ii+
+C     &                v1ij*cosphi+v2ij*sinphi
+C glocig is the gradient local i site in gamma
+          glocig=j*(v2ij*cosphi-v1ij*sinphi)*sint1t2n
+C now gradient over theta_1
+          glocit1=actval/sinthet1*j*costhet1
+          glocit2=actval/sinthet2*j*costhet2
+
+C now the Czebyshev polinominal sum
+        do k=1,nterm_kcc_Tb(itori,itori1)
+         thybt1(k)=v1_chyb(k,j,itori,itori1)
+         thybt2(k)=v2_chyb(k,j,itori,itori1)
+C         thybt1(k)=0.0
+C         thybt2(k)=0.0
+        enddo 
+        sumth1thyb=tschebyshev
+     &         (1,nterm_kcc_Tb(itori,itori1),thybt1(1),dcos(theti12)**2)
+        gradthybt1=gradtschebyshev
+     &         (0,nterm_kcc_Tb(itori,itori1)-1,thybt1(1),
+     &        dcos(theti12)**2)
+     & *dcos(theti12)*(-dsin(theti12))
+        sumth2thyb=tschebyshev
+     &         (1,nterm_kcc_Tb(itori,itori1),thybt2(1),dcos(theti22)**2)
+        gradthybt2=gradtschebyshev
+     &         (0,nterm_kcc_Tb(itori,itori1)-1,thybt2(1),
+     &         dcos(theti22)**2)
+     & *dcos(theti22)*(-dsin(theti22))
+C        print *, sumth1thyb, gradthybt1, sumth2thyb, gradthybt2,
+C     &         gradtschebyshev
+C     &         (0,nterm_kcc_Tb(itori,itori1)-1,thybt2(1),
+C     &         dcos(theti22)**2),
+C     &         dsin(theti22)
+
+C now overal sumation
+         etors=etors+(1.0d0+sumth1thyb+sumth2thyb)*sumnonchebyshev
+C         print *,"sumnon", sumnonchebyshev,sumth1thyb+sumth2thyb
+C derivative over gamma
+         gloc(i-3,icg)=gloc(i-3,icg)+wtor*glocig
+     &   *(1.0d0+sumth1thyb+sumth2thyb)
+C derivative over theta1
+        gloc(nphi+i-3,icg)=gloc(nphi+i-3,icg)+wtor*
+     &  (glocit1*(1.0d0+sumth1thyb+sumth2thyb)+
+     &   sumnonchebyshev*gradthybt1)
+C now derivative over theta2
+        gloc(nphi+i-2,icg)=gloc(nphi+i-2,icg)+wtor*
+     &  (glocit2*(1.0d0+sumth1thyb+sumth2thyb)+
+     &   sumnonchebyshev*gradthybt2)
+       enddo
+      enddo
+     
+C        gloc(i-3,icg)=gloc(i-3,icg)+wtor*gloci
+! 6/20/98 - dihedral angle constraints
+      if (tor_mode.ne.2) then
+      edihcnstr=0.0d0
+c      do i=1,ndih_constr
+      do i=idihconstr_start,idihconstr_end
+        itori=idih_constr(i)
+        phii=phi(itori)
+        difi=pinorm(phii-phi0(i))
+        if (difi.gt.drange(i)) then
+          difi=difi-drange(i)
+          edihcnstr=edihcnstr+0.25d0*ftors(i)*difi**4
+          gloc(itori-3,icg)=gloc(itori-3,icg)+ftors(i)*difi**3
+        else if (difi.lt.-drange(i)) then
+          difi=difi+drange(i)
+          edihcnstr=edihcnstr+0.25d0*ftors(i)*difi**4
+          gloc(itori-3,icg)=gloc(itori-3,icg)+ftors(i)*difi**3
+        else
+          difi=0.0
+        endif
+       enddo
+       endif
+      return
+      end
+
+C The rigorous attempt to derive energy function
+      subroutine ebend_kcc(etheta,ethetacnstr)
+
+      implicit real*8 (a-h,o-z)
+      include 'DIMENSIONS'
+      include 'COMMON.VAR'
+      include 'COMMON.GEO'
+      include 'COMMON.LOCAL'
+      include 'COMMON.TORSION'
+      include 'COMMON.INTERACT'
+      include 'COMMON.DERIV'
+      include 'COMMON.CHAIN'
+      include 'COMMON.NAMES'
+      include 'COMMON.IOUNITS'
+      include 'COMMON.FFIELD'
+      include 'COMMON.TORCNSTR'
+      include 'COMMON.CONTROL'
+      logical lprn
+      double precision thybt1(maxtermkcc)
+C Set lprn=.true. for debugging
+      lprn=.false.
+c     lprn=.true.
+C      print *,"wchodze kcc"
+      if (tormode.ne.2) etheta=0.0D0
+      do i=ithet_start,ithet_end
+c        print *,i,itype(i-1),itype(i),itype(i-2)
+        if ((itype(i-1).eq.ntyp1).or.itype(i-2).eq.ntyp1
+     &  .or.itype(i).eq.ntyp1) cycle
+         iti=itortyp_kcc(itype(i-1))
+        sinthet=dsin(theta(i)/2.0d0)
+        costhet=dcos(theta(i)/2.0d0)
+         do j=1,nbend_kcc_Tb(iti)
+          thybt1(j)=v1bend_chyb(j,iti)
+         enddo
+         sumth1thyb=tschebyshev
+     &         (1,nbend_kcc_Tb(iti),thybt1(1),costhet)
+        ihelp=nbend_kcc_Tb(iti)-1
+        gradthybt1=gradtschebyshev
+     &         (0,ihelp,thybt1(1),costhet)
+        etheta=etheta+sumth1thyb
+C        print *,sumth1thyb,gradthybt1,sinthet*(-0.5d0)
+        gloc(nphi+i-2,icg)=gloc(nphi+i-2,icg)+wang*
+     &   gradthybt1*sinthet*(-0.5d0)
+      enddo
+      if (tormode.ne.2) then
+      ethetacnstr=0.0d0
+C      print *,ithetaconstr_start,ithetaconstr_end,"TU"
+      do i=ithetaconstr_start,ithetaconstr_end
+        itheta=itheta_constr(i)
+        thetiii=theta(itheta)
+        difi=pinorm(thetiii-theta_constr0(i))
+        if (difi.gt.theta_drange(i)) then
+          difi=difi-theta_drange(i)
+          ethetacnstr=ethetacnstr+0.25d0*for_thet_constr(i)*difi**4
+          gloc(itheta+nphi-2,icg)=gloc(itheta+nphi-2,icg)
+     &    +for_thet_constr(i)*difi**3
+        else if (difi.lt.-drange(i)) then
+          difi=difi+drange(i)
+          ethetacnstr=ethetacnstr+0.25d0*for_thet_constr(i)*difi**4
+          gloc(itheta+nphi-2,icg)=gloc(itheta+nphi-2,icg)
+     &    +for_thet_constr(i)*difi**3
+        else
+          difi=0.0
+        endif
+       if (energy_dec) then
+        write (iout,'(a6,2i5,4f8.3,2e14.5)') "ethetc",
+     &    i,itheta,rad2deg*thetiii,
+     &    rad2deg*theta_constr0(i),  rad2deg*theta_drange(i),
+     &    rad2deg*difi,0.25d0*for_thet_constr(i)*difi**4,
+     &    gloc(itheta+nphi-2,icg)
+        endif
+      enddo
+      endif
+      return
+      end
 c------------------------------------------------------------------------------
       subroutine eback_sc_corr(esccor)
 c 7/21/2007 Correlations between the backbone-local and side-chain-local
@@ -11136,6 +11372,7 @@ C now costhet_grad
 
       VofOverlap=VSolvSphere/2.0d0*(1.0-costhet)*(1.0-cosphi)
      &                    /VSolvSphere_div
+     &                    *wshield
 C now the gradient...
 C grad_shield is gradient of Calfa for peptide groups
 C      write(iout,*) "shield_compon",i,k,VSolvSphere,scale_fac_dist,
@@ -11171,4 +11408,219 @@ C      write(2,*) "TOTAL VOLUME",i,VolumeTotal,fac_shield(i)
       enddo
       return
       end
+C--------------------------------------------------------------------------
+      double precision function tschebyshev(m,n,x,y)
+      implicit none
+      include "DIMENSIONS"
+      integer i,m,n
+      double precision x(n),y,yy(0:maxvar),aux
+c Tschebyshev polynomial. Note that the first term is omitted 
+c m=0: the constant term is included
+c m=1: the constant term is not included
+      yy(0)=1.0d0
+      yy(1)=y
+      do i=2,n
+        yy(i)=2*yy(1)*yy(i-1)-yy(i-2)
+      enddo
+      aux=0.0d0
+      do i=m,n
+        aux=aux+x(i)*yy(i)
+      enddo
+      tschebyshev=aux
+      return
+      end
+C--------------------------------------------------------------------------
+      double precision function gradtschebyshev(m,n,x,y)
+      implicit none
+      include "DIMENSIONS"
+      integer i,m,n
+      double precision x(n+1),y,yy(0:maxvar),aux
+c Tschebyshev polynomial. Note that the first term is omitted 
+c m=0: the constant term is included
+c m=1: the constant term is not included
+      yy(0)=1.0d0
+      yy(1)=2.0d0*y
+      do i=2,n
+        yy(i)=2*y*yy(i-1)-yy(i-2)
+      enddo
+      aux=0.0d0
+      do i=m,n
+        aux=aux+x(i+1)*yy(i)*(i+1)
+C        print *, x(i+1),yy(i),i
+      enddo
+      gradtschebyshev=aux
+      return
+      end
+C------------------------------------------------------------------------
+C first for shielding is setting of function of side-chains
+       subroutine set_shield_fac2
+      implicit real*8 (a-h,o-z)
+      include 'DIMENSIONS'
+      include 'COMMON.CHAIN'
+      include 'COMMON.DERIV'
+      include 'COMMON.IOUNITS'
+      include 'COMMON.SHIELD'
+      include 'COMMON.INTERACT'
+C this is the squar root 77 devided by 81 the epislion in lipid (in protein)
+      double precision div77_81/0.974996043d0/,
+     &div4_81/0.2222222222d0/,sh_frac_dist_grad(3)
+
+C the vector between center of side_chain and peptide group
+       double precision pep_side(3),long,side_calf(3),
+     &pept_group(3),costhet_grad(3),cosphi_grad_long(3),
+     &cosphi_grad_loc(3),pep_side_norm(3),side_calf_norm(3)
+C the line belowe needs to be changed for FGPROC>1
+      do i=1,nres-1
+      if ((itype(i).eq.ntyp1).and.itype(i+1).eq.ntyp1) cycle
+      ishield_list(i)=0
+Cif there two consequtive dummy atoms there is no peptide group between them
+C the line below has to be changed for FGPROC>1
+      VolumeTotal=0.0
+      do k=1,nres
+       if ((itype(k).eq.ntyp1).or.(itype(k).eq.10)) cycle
+       dist_pep_side=0.0
+       dist_side_calf=0.0
+       do j=1,3
+C first lets set vector conecting the ithe side-chain with kth side-chain
+      pep_side(j)=c(j,k+nres)-(c(j,i)+c(j,i+1))/2.0d0
+C      pep_side(j)=2.0d0
+C and vector conecting the side-chain with its proper calfa
+      side_calf(j)=c(j,k+nres)-c(j,k)
+C      side_calf(j)=2.0d0
+      pept_group(j)=c(j,i)-c(j,i+1)
+C lets have their lenght
+      dist_pep_side=pep_side(j)**2+dist_pep_side
+      dist_side_calf=dist_side_calf+side_calf(j)**2
+      dist_pept_group=dist_pept_group+pept_group(j)**2
+      enddo
+       dist_pep_side=dsqrt(dist_pep_side)
+       dist_pept_group=dsqrt(dist_pept_group)
+       dist_side_calf=dsqrt(dist_side_calf)
+      do j=1,3
+        pep_side_norm(j)=pep_side(j)/dist_pep_side
+        side_calf_norm(j)=dist_side_calf
+      enddo
+C now sscale fraction
+       sh_frac_dist=-(dist_pep_side-rpp(1,1)-buff_shield)/buff_shield
+C       print *,buff_shield,"buff"
+C now sscale
+        if (sh_frac_dist.le.0.0) cycle
+C If we reach here it means that this side chain reaches the shielding sphere
+C Lets add him to the list for gradient       
+        ishield_list(i)=ishield_list(i)+1
+C ishield_list is a list of non 0 side-chain that contribute to factor gradient
+C this list is essential otherwise problem would be O3
+        shield_list(ishield_list(i),i)=k
+C Lets have the sscale value
+        if (sh_frac_dist.gt.1.0) then
+         scale_fac_dist=1.0d0
+         do j=1,3
+         sh_frac_dist_grad(j)=0.0d0
+         enddo
+        else
+         scale_fac_dist=-sh_frac_dist*sh_frac_dist
+     &                   *(2.0d0*sh_frac_dist-3.0d0)
+         fac_help_scale=6.0d0*(sh_frac_dist-sh_frac_dist**2)
+     &                  /dist_pep_side/buff_shield*0.5d0
+C remember for the final gradient multiply sh_frac_dist_grad(j) 
+C for side_chain by factor -2 ! 
+         do j=1,3
+         sh_frac_dist_grad(j)=fac_help_scale*pep_side(j)
+C         sh_frac_dist_grad(j)=0.0d0
+C         scale_fac_dist=1.0d0
+C         print *,"jestem",scale_fac_dist,fac_help_scale,
+C     &                    sh_frac_dist_grad(j)
+         enddo
+        endif
+C this is what is now we have the distance scaling now volume...
+      short=short_r_sidechain(itype(k))
+      long=long_r_sidechain(itype(k))
+      costhet=1.0d0/dsqrt(1.0d0+short**2/dist_pep_side**2)
+      sinthet=short/dist_pep_side*costhet
+C now costhet_grad
+C       costhet=0.6d0
+C       sinthet=0.8
+       costhet_fac=costhet**3*short**2*(-0.5d0)/dist_pep_side**4
+C       sinthet_fac=costhet**2*0.5d0*(short**3/dist_pep_side**4*costhet
+C     &             -short/dist_pep_side**2/costhet)
+C       costhet_fac=0.0d0
+       do j=1,3
+         costhet_grad(j)=costhet_fac*pep_side(j)
+       enddo
+C remember for the final gradient multiply costhet_grad(j) 
+C for side_chain by factor -2 !
+C fac alfa is angle between CB_k,CA_k, CA_i,CA_i+1
+C pep_side0pept_group is vector multiplication  
+      pep_side0pept_group=0.0d0
+      do j=1,3
+      pep_side0pept_group=pep_side0pept_group+pep_side(j)*side_calf(j)
+      enddo
+      cosalfa=(pep_side0pept_group/
+     & (dist_pep_side*dist_side_calf))
+      fac_alfa_sin=1.0d0-cosalfa**2
+      fac_alfa_sin=dsqrt(fac_alfa_sin)
+      rkprim=fac_alfa_sin*(long-short)+short
+C      rkprim=short
+
+C now costhet_grad
+       cosphi=1.0d0/dsqrt(1.0d0+rkprim**2/dist_pep_side**2)
+C       cosphi=0.6
+       cosphi_fac=cosphi**3*rkprim**2*(-0.5d0)/dist_pep_side**4
+       sinphi=rkprim/dist_pep_side/dsqrt(1.0d0+rkprim**2/
+     &      dist_pep_side**2)
+C       sinphi=0.8
+       do j=1,3
+         cosphi_grad_long(j)=cosphi_fac*pep_side(j)
+     &+cosphi**3*0.5d0/dist_pep_side**2*(-rkprim)
+     &*(long-short)/fac_alfa_sin*cosalfa/
+     &((dist_pep_side*dist_side_calf))*
+     &((side_calf(j))-cosalfa*
+     &((pep_side(j)/dist_pep_side)*dist_side_calf))
+C       cosphi_grad_long(j)=0.0d0
+        cosphi_grad_loc(j)=cosphi**3*0.5d0/dist_pep_side**2*(-rkprim)
+     &*(long-short)/fac_alfa_sin*cosalfa
+     &/((dist_pep_side*dist_side_calf))*
+     &(pep_side(j)-
+     &cosalfa*side_calf(j)/dist_side_calf*dist_pep_side)
+C       cosphi_grad_loc(j)=0.0d0
+       enddo
+C      print *,sinphi,sinthet
+      VofOverlap=VSolvSphere/2.0d0*(1.0d0-dsqrt(1.0d0-sinphi*sinthet))
+     &                    /VSolvSphere_div
+     &                    *wshield
+C now the gradient...
+      do j=1,3
+      grad_shield(j,i)=grad_shield(j,i)
+C gradient po skalowaniu
+     &                +(sh_frac_dist_grad(j)*VofOverlap
+C  gradient po costhet
+     &       +scale_fac_dist*VSolvSphere/VSolvSphere_div/4.0d0*
+     &(1.0d0/(-dsqrt(1.0d0-sinphi*sinthet))*(
+     &       sinphi/sinthet*costhet*costhet_grad(j)
+     &      +sinthet/sinphi*cosphi*cosphi_grad_long(j)))
+     & )*div77_81
+C grad_shield_side is Cbeta sidechain gradient
+      grad_shield_side(j,ishield_list(i),i)=
+     &        (sh_frac_dist_grad(j)*-2.0d0
+     &        *VofOverlap
+     &       -scale_fac_dist*VSolvSphere/VSolvSphere_div/2.0d0*
+     &(1.0d0/(-dsqrt(1.0d0-sinphi*sinthet))*(
+     &       sinphi/sinthet*costhet*costhet_grad(j)
+     &      +sinthet/sinphi*cosphi*cosphi_grad_long(j)))
+     &       )*div77_81        
+
+       grad_shield_loc(j,ishield_list(i),i)=
+     &       scale_fac_dist*VSolvSphere/VSolvSphere_div/2.0d0*
+     &(1.0d0/(dsqrt(1.0d0-sinphi*sinthet))*(
+     &       sinthet/sinphi*cosphi*cosphi_grad_loc(j)
+     &        ))
+     &        *div77_81
+      enddo
+      VolumeTotal=VolumeTotal+VofOverlap*scale_fac_dist
+      enddo
+      fac_shield(i)=VolumeTotal*div77_81+div4_81
+C      write(2,*) "TOTAL VOLUME",i,VolumeTotal,fac_shield(i)
+      enddo
+      return
+      end