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📄 sym7pre.f

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      Subroutine sym7pre( n1, n2, n3, a, b, fac )! ---------------------------------------------------------------------! --- sym7pre computes the inverse of D as used in the preconditioners.!     Also the elements of A and RHS b are adjusted.! ---------------------------------------------------------------------      Use         numerics      Use         floptime      Implicit    None      Integer  :: n1 ,n2 ,n3      Real(l_) :: a(n1*n2*n3,0:3), b(n1*n2*n3), fac(n1*n2*n3)      Integer  :: i, inm, in12, ntot, n12! ---------------------------------------------------------------------      n12  = n1*n2      ntot = n12*n3      fac(1) = 1.0_l_/a(1,0)      Do i = 2, ntot         inm    = i - 1         fac(i) = a(i,0) - fac(inm)*a(inm,1)*a(inm,1)      End Do      Do i = n1 + 1, ntot         inm    = i - n1         fac(i) = fac(i) - fac(inm)*a(inm,2)*a(inm,2)      End Do      Do i = n12 + 1, ntot         inm    = i - n12         fac(i) = fac(i) - fac(inm)*a(inm,3)*a(inm,3)      End Do      fac = 1.0_l_/fac! ---------------------------------------------------------------------! --- D-inverse is now complete, scale A and b.      a(1:ntot,0) = a(1:ntot,0)*fac      fac         = Sqrt( fac )      b           = b*fac      Do i = 2, ntot         inm      = i - 1         a(inm,1) = fac(i)*fac(inm)*a(inm,1)      End Do      Do i = n1 + 1, ntot         inm      = i - n1         a(inm,2) = fac(i)*fac(inm)*a(inm,2)      End Do      Do i = n12 + 1, ntot         inm     = i - n12         a(inm,3) = fac(i)*fac(inm)*a(inm,3)      End Do      flops = flops + 25*ntot - 6*( n1 + n12 ) - 5! ---------------------------------------------------------------------! --- Keep fac for backscaling the solution x.! ---------------------------------------------------------------------      End Subroutine sym7pre

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