sadas
[unres.git] / source / unres / src_MD / intcartderiv.F
index 5fea875..c7cf95c 100644 (file)
@@ -44,6 +44,43 @@ c We need dtheta(:,:,i-1) to compute dphi(:,:,i)
           dtheta(j,2,i)=-1/sint*dcostheta(j,2,i)     
         enddo
       enddo
+
+#if defined(MPI) && defined(PARINTDER)
+c We need dtheta(:,:,i-1) to compute dphi(:,:,i)
+      do i=max0(ithet_start-1,3),ithet_end
+#else
+      do i=3,nres
+#endif
+      if (itype(i-1).ne.10) then
+        cost1=dcos(omicron(1,i))
+       sint1=sqrt(1-cost1*cost1)
+        cost2=dcos(omicron(2,i))
+        sint2=sqrt(1-cost2*cost2)
+        do j=1,3
+CC Calculate derivative over first omicron (Cai-2,Cai-1,SCi-1) 
+          dcosomicron(j,1,1,i)=-(-dc_norm(j,i-1+nres)+
+     &    cost1*dc_norm(j,i-2))/
+     &   vbld(i-1)
+          domicron(j,1,1,i)=-1/sint1*dcosomicron(j,1,1,i)     
+          dcosomicron(j,1,2,i)=-(dc_norm(j,i-2)
+     &    +cost1*(-dc_norm(j,i-1+nres)))/
+     &   vbld(i+nres)
+          domicron(j,1,2,i)=-1/sint1*dcosomicron(j,1,2,i)  
+CC Calculate derivative over second omicron Sci-1,Cai-1 Cai
+CC Looks messy but better than if in loop
+          dcosomicron(j,2,1,i)=-(-dc_norm(j,i-1+nres)
+     &    +cost2*dc_norm(j,i-1))/
+     &    vbld(i)
+          domicron(j,2,1,i)=-1/sint2*dcosomicron(j,2,1,i)
+          dcosomicron(j,2,2,i)=-(dc_norm(j,i-1)
+     &     +cost1*(-dc_norm(j,i-1+nres)))/
+     &    vbld(i+nres)
+          domicron(j,2,2,i)=-1/sint2*dcosomicron(j,2,2,i)   
+        enddo
+       endif
+      enddo
+
+
       
 c Derivatives of phi:
 c If phi is 0 or 180 degrees, then the formulas 
@@ -109,6 +146,210 @@ c   Obtaining the gamma derivatives from cosine derivative
          enddo
         endif                                                                                           
       enddo
+
+Calculate derivative of Tauangle
+#ifdef PARINTDER
+      do i=iphi1_start,iphi1_end
+#else
+      do i=4,nres
+#endif
+cc INTERTYP=1 SC...Ca...Ca..Ca
+c the conventional case
+        sint=dsin(theta(i))
+        sint1=dsin(omicron(2,i-1))
+        sing=dsin(tauangle(1,i))
+        cost=dcos(theta(i))
+        cost1=dcos(omicron(2,i-1))
+        cosg=dcos(tauangle(1,i))
+        do j=1,3
+        dc_norm2(j,i-2+nres)=-dc_norm(j,i-2+nres)
+        enddo
+        scalp=scalar(dc_norm2(1,i-2+nres),dc_norm(1,i-1))
+        fac0=1.0d0/(sint1*sint)
+        fac1=cost*fac0
+        fac2=cost1*fac0
+        fac3=cosg*cost1/(sint1*sint1)
+        fac4=cosg*cost/(sint*sint)
+c    Obtaining the gamma derivatives from sine derivative                                
+       if (tauangle(1,i).gt.-pi4.and.tauangle(1,i).le.pi4.or.
+     &     tauangle(1,i).gt.pi34.and.tauangle(1,i).le.pi.or.
+     &     tauangle(1,i).gt.-pi.and.tauangle(1,i).le.-pi34) then
+         do j=1,3
+         dc_norm2(j,i-2+nres)=-dc_norm(j,i-2+nres)
+         enddo
+         call vecpr(dc_norm(1,i-1),dc_norm(1,i-2),vp1)
+         call vecpr(dc_norm2(1,i-2+nres),dc_norm(1,i-1),vp2)
+         call vecpr(dc_norm2(1,i-2+nres),dc_norm(1,i-2),vp3)
+        do j=1,3
+            ctgt=cost/sint
+            ctgt1=cost1/sint1
+            cosg_inv=1.0d0/cosg
+            dsintau(j,1,1,i)=-sing*ctgt1*domicron(j,2,1,i-1)
+     &-(fac0*vp1(j)+sing*(-dc_norm(j,i-2+nres)))
+     & *vbld_inv(i-2+nres)
+            dtauangle(j,1,1,i)=cosg_inv*dsintau(j,1,1,i)
+            dsintau(j,1,2,i)=
+     &        -sing*(ctgt1*domicron(j,2,2,i-1)+ctgt*dtheta(j,1,i))
+     &        -(fac0*vp2(j)+sing*dc_norm(j,i-2))*vbld_inv(i-1)
+            dtauangle(j,1,2,i)=cosg_inv*dsintau(j,1,2,i)
+c Bug fixed 3/24/05 (AL)
+            dsintau(j,1,3,i)=-sing*ctgt*dtheta(j,2,i)
+     &        +(fac0*vp3(j)-sing*dc_norm(j,i-1))*vbld_inv(i)
+c     &        +(fac0*vp3(j)-sing*dc_norm(j,i-1))*vbld_inv(i-1)
+            dtauangle(j,1,3,i)=cosg_inv*dsinphi(j,1,3,i)
+         enddo                                          
+c   Obtaining the gamma derivatives from cosine derivative
+        else
+           do j=1,3
+           dcostau(j,1,1,i)=fac1*dcosomicron(j,2,1,i-1)+fac3*
+     &     dcosomicron(j,2,1,i-1)-fac0*(dc_norm(j,i-1)-scalp*
+     &     (-dc_norm(j,i-2+nres)))/vbld(i-2+nres)
+           dtauangle(j,1,1,i)=-1/sing*dcostau(j,1,1,i)
+           dcostau(j,1,2,i)=fac1*dcosomicron(j,2,2,i-1)+fac2*
+     &     dcostheta(j,1,i)+fac3*dcosomicron(j,2,2,i-1)+fac4*
+     &     dcostheta(j,1,i)
+           dtauangle(j,1,2,i)=-1/sing*dcostau(j,1,2,i)
+           dcostau(j,1,3,i)=fac2*dcostheta(j,2,i)+fac4*
+     &     dcostheta(j,2,i)-fac0*(-dc_norm(j,i-2+nres)-scalp*
+     &     dc_norm(j,i-1))/vbld(i)
+           dtauangle(j,1,3,i)=-1/sing*dcostau(j,1,3,i)
+         enddo
+        endif                                                                                            
+      enddo
+CC Second case Ca...Ca...Ca...SC
+#ifdef PARINTDER
+      do i=iphi1_start,iphi1_end
+#else
+      do i=4,nres
+#endif
+c the conventional case
+        sint=dsin(omicron(1,i))
+        sint1=dsin(theta(i-1))
+        sing=dsin(tauangle(2,i)
+        cost=dcos(omicron(1,i)
+        cost1=dcos(theta(i-1))
+        cosg=dcos(tauangle(2,i))
+        do j=1,3
+        dc_norm2(j,i-1+nres)=-dc_norm(j,i-1+nres)
+        enddo
+        scalp=scalar(dc_norm(1,i-3),dc_norm2(1,i-1+nres))
+        fac0=1.0d0/(sint1*sint)
+        fac1=cost*fac0
+        fac2=cost1*fac0
+        fac3=cosg*cost1/(sint1*sint1)
+        fac4=cosg*cost/(sint*sint)
+c    Obtaining the gamma derivatives from sine derivative                                
+       if (tauangle(2,i).gt.-pi4.and.tauangle(2,i).le.pi4.or.
+     &     tauangle(2,i).gt.pi34.and.tauangle(2,i).le.pi.or.
+     &     tauangle(2,i).gt.-pi.and.tauangle(2,i).le.-pi34) then
+         call vecpr(dc_norm2(1,i-1+nres),dc_norm(1,i-2),vp1)
+         call vecpr(dc_norm(1,i-3),dc_norm2(1,i-1+nres),vp2)
+         call vecpr(dc_norm(1,i-3),dc_norm(1,i-2),vp3)
+        do j=1,3
+            ctgt=cost/sint
+            ctgt1=cost1/sint1
+            cosg_inv=1.0d0/cosg
+            dsintau(j,2,1,i)=-sing*ctgt1*dtheta(j,1,i-1)
+     &        -(fac0*vp1(j)+sing*dc_norm(j,i-3))*vbld_inv(i-2)
+            dtauangle(j,2,1,i)=cosg_inv*dsintau(j,2,1,i)
+            dsintau(j,2,2,i)=
+     &        -sing*(ctgt1*dtheta(j,2,i-1)+ctgt*domicron(j,1,1,i))
+     &        -(fac0*vp2(j)+sing*dc_norm(j,i-2))*vbld_inv(i-1)
+            dphi(j,2,i)=cosg_inv*dsintau(j,2,2,i)
+c Bug fixed 3/24/05 (AL)
+            dsintau(j,2,3,i)=-sing*ctgt*domicron(j,1,2,i)
+     &        +(fac0*vp3(j)-sing*dc_norm2(j,i-1+nres))*vbld_inv(i)
+c     &        +(fac0*vp3(j)-sing*dc_norm(j,i-1))*vbld_inv(i-1)
+            dtauangle(j,2,3,i)=cosg_inv*dsinphi(j,2,3,i)
+         enddo                                          
+c   Obtaining the gamma derivatives from cosine derivative
+        else
+           do j=1,3
+           dcostau(j,2,1,i)=fac1*dcostheta(j,1,i-1)+fac3*
+     &     dcostheta(j,1,i-1)-fac0*(dc_norm2(j,i-1+nres)-scalp*
+     &     dc_norm(j,i-3))/vbld(i-2)
+           dtauangle(j,2,1,i)=-1/sing*dcostau(j,2,1,i)
+           dcostau(j,2,2,i)=fac1*dcostheta(j,2,i-1)+fac2*
+     &     dcosomicron(j,1,1,i)+fac3*dcostheta(j,2,i-1)+fac4*
+     &     dcosomicron(j,1,1,i)
+           dtauanlge(j,2,2,i)=-1/sing*dcostau(j,2,2,i)
+           dcostau(j,2,3,i)=fac2*dcosomicron(j,1,2,i)+fac4*
+     &     dcostheta(j,1,2,i)-fac0*(dc_norm(j,i-3)-scalp*
+     &     dc_norm2(j,i-1+nres))/vbld(i-1+nres)
+           dtauanlge(j,2,3,i)=-1/sing*dcosphi(j,3,i)
+         enddo
+        endif                                                                                            
+      enddo
+
+
+CCC third case SC...Ca...Ca...SC
+#ifdef PARINTDER
+
+      do i=iphi1_start,iphi1_end
+#else
+      do i=4,nres
+#endif
+c the conventional case
+        sint=dsin(omicron(1,i))
+        sint1=dsin(omicron(2,i-1))
+        sing=dsin(tauangle(3,i))
+        cost=dcos(omicron(1,i))
+        cost1=dcos(omicron(2,i-1))
+        cosg=dcos(tauangle(3,i))
+        do j=1,3
+        dc_norm2(j,i-2+nres)=-dc_norm(j,i-2+nres)
+        dc_norm2(j,i-1+nres)=-dc_norm(j,i-2+nres)
+        enddo
+        scalp=scalar(dc_norm2(1,i-2+nres),dc_norm2(1,i-1+nres))
+        fac0=1.0d0/(sint1*sint)
+        fac1=cost*fac0
+        fac2=cost1*fac0
+        fac3=cosg*cost1/(sint1*sint1)
+        fac4=cosg*cost/(sint*sint)
+c    Obtaining the gamma derivatives from sine derivative                                
+       if (tauangle(3,i).gt.-pi4.and.tauangle(3,i).le.pi4.or.
+     &     tauangle(3,i).gt.pi34.and.tauangle(3,i).le.pi.or.
+     &     tauangle(3,i).gt.-pi.and.tauangle(3,i).le.-pi34) then
+         call vecpr(dc_norm2(1,i-1+nres),dc_norm(1,i-2),vp1)
+         call vecpr(dc_norm2(1,i-2+nres),dc_norm2(1,i-1+nres),vp2)
+         call vecpr(dc_norm2(1,i-2+nres),dc_norm(1,i-2),vp3)
+        do j=1,3
+            ctgt=cost/sint
+            ctgt1=cost1/sint1
+            cosg_inv=1.0d0/cosg
+            dsintau(j,3,1,i)=-sing*ctgt1*domicron(j,2,1,i-1)
+     &        -(fac0*vp1(j)+sing*dc_norm2(j,i-2+nres))
+     &        *vbld_inv(i-2+nres)
+            dtauangle(j,3,1,i)=cosg_inv*dsintau(j,3,1,i)
+            dsintau(j,3,2,i)=
+     &        -sing*(ctgt1*domicron(j,2,2,i-1)+ctgt*domicron(j,1,1,i))
+     &        -(fac0*vp2(j)+sing*dc_norm(j,i-2))*vbld_inv(i-1+nres)
+            dtauangle(j,3,2,i)=cosg_inv*dsintau(j,3,2,i)
+c Bug fixed 3/24/05 (AL)
+            dsintau(j,3,3,i)=-sing*ctgt*domicron(j,1,2,i)
+     &        +(fac0*vp3(j)-sing*dc_norm2(j,i-1+nres))
+     &        *vbld_inv(i-1+nres)
+c     &        +(fac0*vp3(j)-sing*dc_norm(j,i-1))*vbld_inv(i-1)
+            dphi(j,3,3,i)=cosg_inv*dsintau(j,3,3,i)
+         enddo                                          
+c   Obtaining the gamma derivatives from cosine derivative
+        else
+           do j=1,3
+           dcostau(j,3,1,i)=fac1*dcosomicron(j,2,1,i-1)+fac3*
+     &     dcostheta(j,1,i-1)-fac0*(dc_norm2(j,i-1+nres)-scalp*
+     &     dc_norm2(j,i-2+nres))/vbld(i-2+nres)
+           dtauangle(j,3,1,i)=-1/sing*dcostau(j,3,1,i)
+           dcostau(j,3,2,i)=fac1*dcosomicron(j,2,2,i-1)+fac2*
+     &     dcosomicron(j,1,1,i)+fac3*dcosomicron(j,2,2,i-1)+fac4*
+     &     dcosomicron(j,1,1,i)
+           dtauangle(j,3,2,i)=-1/sing*dcostau(j,3,2,i)
+           dcostau(j,3,3,i)=fac2*dcosomicron(j,1,2,i)+fac4*
+     &     dcostau(j,3,2,i)-fac0*(dc_norm2(j,i-2+nres)-scalp*
+     &     dc_norm2(j,i-1+nres))/vbld(i-1+nres)
+           dtauangle(j,3,3,i)=-1/sing*dcostau(j,3,3,i)
+         enddo
+        endif                                                                                            
+      enddo
 #ifdef CRYST_SC
 c   Derivatives of side-chain angles alpha and omega
 #if defined(MPI) && defined(PARINTDER)