--- trunk/filtrez/inifgn.f90 2014/03/05 14:38:41 81 +++ trunk/Sources/filtrez/inifgn.f 2015/06/23 18:26:18 153 @@ -1,106 +1,63 @@ +module inifgn_m -! $Header: /home/cvsroot/LMDZ4/libf/filtrez/inifgn.F,v 1.1.1.1 2004/05/19 -! 12:53:09 lmdzadmin Exp $ + use dimens_m, only: iim -SUBROUTINE inifgn(dv) + IMPLICIT NONE - ! ... H.Upadyaya , O.Sharma ... + private iim - USE dimens_m - USE paramet_m - USE comgeom - USE serre - USE coefils - IMPLICIT NONE + real sddu(iim), sddv(iim) ! SQRT(dx / di) + real unsddu(iim), unsddv(iim) + + real eignfnu(iim, iim), eignfnv(iim, iim) + ! eigenfunctions of the discrete laplacian + +contains + + SUBROUTINE inifgn(dv) + + ! From LMDZ4/libf/filtrez/inifgn.F, v 1.1.1.1 2004/05/19 12:53:09 + + ! H. Upadyaya, O. Sharma + + use acc_m, only: acc + USE dimens_m, ONLY: iim + USE dynetat0_m, ONLY: xprimu, xprimv + use numer_rec_95, only: jacobi, eigsrt + + real, intent(out):: dv(:) ! (iim) eigenvalues sorted in descending order + + ! Local: + REAL, dimension(iim, iim):: a, b, c + REAL du(iim) + INTEGER i + + !---------------------------------------------------------------- + + print *, "Call sequence information: inifgn" + + sddv = sqrt(xprimv(:iim)) + sddu = sqrt(xprimu(:iim)) + unsddu = 1. / sddu + unsddv = 1. / sddv + + b = 0. + b(iim, 1) = unsddu(iim) * unsddv(1) + forall (i = 1:iim) b(i, i) = - unsddu(i) * unsddv(i) + forall (i = 1:iim - 1) b(i, i + 1) = unsddu(i) * unsddv(i + 1) + c = - transpose(b) + a = matmul(c, b) + CALL jacobi(a, dv, eignfnv) + CALL acc(eignfnv) + CALL eigsrt(dv, eignfnv) - REAL vec(iim, iim), vec1(iim, iim) - REAL dlonu(iim), dlonv(iim) - REAL du(iim), dv(iim), d(iim) - REAL pi - INTEGER i, j, k, imm1, nrot - - - EXTERNAL ssum, acc, jacobi - ! C EXTERNAL eigen - REAL ssum - - - imm1 = iim - 1 - pi = 2.*asin(1.) - - DO i = 1, iim - dlonu(i) = xprimu(i) - dlonv(i) = xprimv(i) - END DO - - DO i = 1, iim - sddv(i) = sqrt(dlonv(i)) - sddu(i) = sqrt(dlonu(i)) - unsddu(i) = 1./sddu(i) - unsddv(i) = 1./sddv(i) - END DO - - DO j = 1, iim - DO i = 1, iim - vec(i, j) = 0. - vec1(i, j) = 0. - eignfnv(i, j) = 0. - eignfnu(i, j) = 0. - END DO - END DO - - - eignfnv(1, 1) = -1. - eignfnv(iim, 1) = 1. - DO i = 1, imm1 - eignfnv(i+1, i+1) = -1. - eignfnv(i, i+1) = 1. - END DO - DO j = 1, iim - DO i = 1, iim - eignfnv(i, j) = eignfnv(i, j)/(sddu(i)*sddv(j)) - END DO - END DO - DO j = 1, iim - DO i = 1, iim - eignfnu(i, j) = -eignfnv(j, i) - END DO - END DO - - DO j = 1, iim - DO i = 1, iim - vec(i, j) = 0.0 - vec1(i, j) = 0.0 - DO k = 1, iim - vec(i, j) = vec(i, j) + eignfnu(i, k)*eignfnv(k, j) - vec1(i, j) = vec1(i, j) + eignfnv(i, k)*eignfnu(k, j) - END DO - END DO - END DO - - - CALL jacobi(vec, iim, iim, dv, eignfnv, nrot) - CALL acc(eignfnv, d, iim) - CALL eigen_sort(dv, eignfnv, iim, iim) - - CALL jacobi(vec1, iim, iim, du, eignfnu, nrot) - CALL acc(eignfnu, d, iim) - CALL eigen_sort(du, eignfnu, iim, iim) - - ! c ancienne version avec appels IMSL - - ! CALL MXM(eignfnu,iim,eignfnv,iim,vec,iim) - ! CALL MXM(eignfnv,iim,eignfnu,iim,vec1,iim) - ! CALL EVCSF(iim,vec,iim,dv,eignfnv,iim) - ! CALL acc(eignfnv,d,iim) - ! CALL eigen(eignfnv,dv) - - ! CALL EVCSF(iim,vec1,iim,du,eignfnu,iim) - ! CALL acc(eignfnu,d,iim) - ! CALL eigen(eignfnu,du) + a = matmul(b, c) + CALL jacobi(a, du, eignfnu) + CALL acc(eignfnu) + CALL eigsrt(du, eignfnu) - RETURN -END SUBROUTINE inifgn + END SUBROUTINE inifgn +end module inifgn_m