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jmc |
1.3 |
C $Header: /u/gcmpack/MITgcm/model/src/cg2d_nsa.F,v 1.2 2009/04/28 18:01:14 jmc Exp $ |
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heimbach |
1.1 |
C $Name: $ |
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#include "CPP_OPTIONS.h" |
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#ifdef ALLOW_USE_MPI |
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C HACK to avoid global_max |
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# define ALLOW_CONST_RHSMAX |
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jmc |
1.3 |
#endif |
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heimbach |
1.1 |
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CML THIS DOES NOT WORK +++++ |
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#undef ALLOW_LOOP_DIRECTIVE |
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CBOP |
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C !ROUTINE: CG2D_NSA |
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C !INTERFACE: |
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jmc |
1.3 |
SUBROUTINE CG2D_NSA( |
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heimbach |
1.1 |
I cg2d_b, |
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U cg2d_x, |
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O firstResidual, |
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O lastResidual, |
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U numIters, |
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I myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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jmc |
1.3 |
C | SUBROUTINE CG2D_NSA |
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C | o Two-dimensional grid problem conjugate-gradient |
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C | inverter (with preconditioner). |
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heimbach |
1.1 |
C | o This version is used only in the case when the matrix |
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jmc |
1.3 |
C | operator is not "self-adjoint" (NSA). Any remaining |
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heimbach |
1.1 |
C | residuals will immediately reported to the department |
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C | of homeland security. |
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C *==========================================================* |
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jmc |
1.3 |
C | Con. grad is an iterative procedure for solving Ax = b. |
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C | It requires the A be symmetric. |
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C | This implementation assumes A is a five-diagonal |
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C | matrix of the form that arises in the discrete |
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C | representation of the del^2 operator in a |
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C | two-dimensional space. |
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C | Notes: |
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C | ====== |
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C | This implementation can support shared-memory |
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C | multi-threaded execution. In order to do this COMMON |
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C | blocks are used for many of the arrays - even ones that |
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C | are only used for intermedaite results. This design is |
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C | OK if you want to all the threads to collaborate on |
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C | solving the same problem. On the other hand if you want |
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C | the threads to solve several different problems |
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C | concurrently this implementation will not work. |
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heimbach |
1.1 |
C *==========================================================* |
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C \ev |
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C !USES: |
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IMPLICIT NONE |
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C === Global data === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "CG2D.h" |
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jmc |
1.3 |
c#include "GRID.h" |
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c#include "SURFACE.h" |
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heimbach |
1.1 |
#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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#endif |
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C !INPUT/OUTPUT PARAMETERS: |
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C === Routine arguments === |
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jmc |
1.3 |
C cg2d_b :: The source term or "right hand side" |
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C cg2d_x :: The solution |
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C firstResidual :: the initial residual before any iterations |
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C lastResidual :: the actual residual reached |
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C numIters :: Entry: the maximum number of iterations allowed |
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C Exit: the actual number of iterations used |
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C myThid :: Thread on which I am working. |
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heimbach |
1.1 |
_RL cg2d_b(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL cg2d_x(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL firstResidual |
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_RL lastResidual |
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INTEGER numIters |
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INTEGER myThid |
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#ifdef ALLOW_CG2D_NSA |
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C !LOCAL VARIABLES: |
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C === Local variables ==== |
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jmc |
1.3 |
C actualIts :: Number of iterations taken |
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C actualResidual :: residual |
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C bi, bj :: Block index in X and Y. |
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C eta_qrN :: Used in computing search directions |
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heimbach |
1.1 |
C eta_qrNM1 suffix N and NM1 denote current and |
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C cgBeta previous iterations respectively. |
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jmc |
1.3 |
C recip_eta_qrNM1 :: reciprocal of eta_qrNM1 |
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C alpha |
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C alpha_aux :: to avoid the statement: alpha = 1./alpha (for TAMC/TAF) |
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C sumRHS :: Sum of right-hand-side. Sometimes this is a |
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heimbach |
1.1 |
C useful debuggin/trouble shooting diagnostic. |
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C For neumann problems sumRHS needs to be ~0. |
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C or they converge at a non-zero residual. |
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jmc |
1.3 |
C err :: Measure of residual of Ax - b, usually the norm. |
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C err_sq :: square of err (for TAMC/TAF) |
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C I, J, it2d :: Loop counters ( it2d counts CG iterations ) |
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heimbach |
1.1 |
INTEGER actualIts |
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_RL actualResidual |
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jmc |
1.3 |
INTEGER bi, bj |
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heimbach |
1.1 |
INTEGER I, J, it2d |
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_RL err |
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_RL err_sq |
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_RL eta_qrN |
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_RL eta_qrNM1 |
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_RL recip_eta_qrNM1 |
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_RL cgBeta |
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_RL alpha |
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_RL alpha_aux |
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_RL sumRHS |
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_RL rhsMax, rhsMaxGlobal |
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_RL rhsNorm |
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_RL cg2dTolerance_sq |
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CEOP |
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#ifdef ALLOW_AUTODIFF_TAMC |
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IF ( numIters .GT. numItersMax ) THEN |
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jmc |
1.3 |
WRITE(standardMessageUnit,'(A,I10)') |
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heimbach |
1.1 |
& 'CG2D_NSA: numIters > numItersMax = ', numItersMax |
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STOP 'NON-NORMAL in CG2D_NSA' |
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ENDIF |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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CcnhDebugStarts |
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C CHARACTER*(MAX_LEN_FNAM) suff |
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CcnhDebugEnds |
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = myThid - 1 |
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max1 = nTx*nTy |
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act2 = ikey_dynamics - 1 |
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ikey = (act1 + 1) + act2*max1 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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C-- Initialise inverter |
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eta_qrNM1 = 1. _d 0 |
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recip_eta_qrNM1 = 1./eta_qrNM1 |
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CcnhDebugStarts |
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jmc |
1.2 |
C _EXCH_XY_RL( cg2d_b, myThid ) |
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heimbach |
1.1 |
C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.0 CG2D_B' , 1, myThid ) |
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C suff = 'unnormalised' |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
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C STOP |
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CcnhDebugEnds |
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C-- Normalise RHS |
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#ifdef ALLOW_AUTODIFF_TAMC |
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jmc |
1.3 |
CADJ STORE cg2d_b = comlev1_cg2d, key = ikey, byte = isbyte |
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heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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rhsMax = 0. _d 0 |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO J=1,sNy |
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DO I=1,sNx |
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cg2d_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*cg2dNorm |
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rhsMax = MAX(ABS(cg2d_b(I,J,bi,bj)),rhsMax) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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IF (cg2dNormaliseRHS) THEN |
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C - Normalise RHS : |
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#ifdef LETS_MAKE_JAM |
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jmc |
1.2 |
C _GLOBAL_MAX_RL( rhsMax, myThid ) |
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heimbach |
1.1 |
rhsMaxGlobal=1. |
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#else |
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#ifdef ALLOW_CONST_RHSMAX |
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rhsMaxGlobal=1. |
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#else |
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rhsMaxGlobal=rhsMax |
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jmc |
1.2 |
_GLOBAL_MAX_RL( rhsMaxGlobal, myThid ) |
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heimbach |
1.1 |
#endif /* ALLOW_CONST_RHSMAX */ |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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jmc |
1.3 |
CADJ STORE rhsNorm = comlev1_cg2d, key = ikey, byte = isbyte |
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heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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IF ( rhsMaxGlobal .NE. 0. ) THEN |
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rhsNorm = 1. _d 0 / rhsMaxGlobal |
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ELSE |
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rhsNorm = 1. _d 0 |
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ENDIF |
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#ifdef ALLOW_AUTODIFF_TAMC |
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jmc |
1.3 |
CADJ STORE cg2d_b = comlev1_cg2d, key = ikey, byte = isbyte |
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CADJ STORE cg2d_x = comlev1_cg2d, key = ikey, byte = isbyte |
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heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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DO J=1,sNy |
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DO I=1,sNx |
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cg2d_b(I,J,bi,bj) = cg2d_b(I,J,bi,bj)*rhsNorm |
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cg2d_x(I,J,bi,bj) = cg2d_x(I,J,bi,bj)*rhsNorm |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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C- end Normalise RHS |
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ENDIF |
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C-- Update overlaps |
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jmc |
1.3 |
c CALL EXCH_XY_RL( cg2d_b, myThid ) |
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CALL EXCH_XY_RL( cg2d_x, myThid ) |
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heimbach |
1.1 |
CcnhDebugStarts |
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C CALL PLOT_FIELD_XYRL( cg2d_b, 'CG2D.1 CG2D_B' , 1, myThid ) |
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C suff = 'normalised' |
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C CALL WRITE_FLD_XY_RL ( 'cg2d_b.',suff, cg2d_b, 1, myThid) |
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CcnhDebugEnds |
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C-- Initial residual calculation |
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err = 0. _d 0 |
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err_sq = 0. _d 0 |
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sumRHS = 0. _d 0 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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jmc |
1.3 |
CADJ STORE cg2d_b = comlev1_cg2d, key = ikey, byte = isbyte |
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CADJ STORE cg2d_x = comlev1_cg2d, key = ikey, byte = isbyte |
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heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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jmc |
1.3 |
DO J=1-1,sNy+1 |
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DO I=1-1,sNx+1 |
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cg2d_s(I,J,bi,bj) = 0. |
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ENDDO |
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ENDDO |
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heimbach |
1.1 |
DO J=1,sNy |
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DO I=1,sNx |
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cg2d_r(I,J,bi,bj) = cg2d_b(I,J,bi,bj) - |
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& (aW2d(I ,J ,bi,bj)*cg2d_x(I-1,J ,bi,bj) |
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& +aW2d(I+1,J ,bi,bj)*cg2d_x(I+1,J ,bi,bj) |
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& +aS2d(I ,J ,bi,bj)*cg2d_x(I ,J-1,bi,bj) |
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& +aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J+1,bi,bj) |
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jmc |
1.3 |
& +aC2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
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heimbach |
1.1 |
& ) |
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jmc |
1.3 |
c & -aW2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
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c & -aW2d(I+1,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
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c & -aS2d(I ,J ,bi,bj)*cg2d_x(I ,J ,bi,bj) |
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c & -aS2d(I ,J+1,bi,bj)*cg2d_x(I ,J ,bi,bj) |
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c & -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
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c & cg2d_x(I ,J ,bi,bj)/deltaTMom/deltaTfreesurf*cg2dNorm |
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cML & cg2d_x(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
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c & ) |
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err_sq = err_sq + |
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heimbach |
1.1 |
& cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 248 |
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sumRHS = sumRHS + |
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& cg2d_b(I,J,bi,bj) |
| 250 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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jmc |
1.3 |
c CALL EXCH_S3D_RL( cg2d_r, 1, myThid ) |
| 256 |
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CALL EXCH_XY_RL ( cg2d_r, myThid ) |
| 257 |
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_GLOBAL_SUM_RL( sumRHS, myThid ) |
| 258 |
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_GLOBAL_SUM_RL( err_sq, myThid ) |
| 259 |
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IF ( err_sq .NE. 0. ) THEN |
| 260 |
heimbach |
1.1 |
err = SQRT(err_sq) |
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jmc |
1.3 |
ELSE |
| 262 |
heimbach |
1.1 |
err = 0. |
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jmc |
1.3 |
ENDIF |
| 264 |
heimbach |
1.1 |
actualIts = 0 |
| 265 |
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actualResidual = err |
| 266 |
jmc |
1.3 |
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| 267 |
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IF ( debugLevel .GE. debLevZero ) THEN |
| 268 |
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_BEGIN_MASTER( myThid ) |
| 269 |
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WRITE(standardmessageunit,'(A,1P2E22.14)') |
| 270 |
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& ' cg2d: Sum(rhs),rhsMax = ', sumRHS,rhsMaxGlobal |
| 271 |
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_END_MASTER( myThid ) |
| 272 |
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ENDIF |
| 273 |
heimbach |
1.1 |
C _BARRIER |
| 274 |
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c _BEGIN_MASTER( myThid ) |
| 275 |
jmc |
1.3 |
c WRITE(*,'(A,I6,1PE30.14)') ' CG2D_NSA iters, err = ', |
| 276 |
heimbach |
1.1 |
c & actualIts, actualResidual |
| 277 |
jmc |
1.3 |
c _END_MASTER( myThid ) |
| 278 |
heimbach |
1.1 |
firstResidual=actualResidual |
| 279 |
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cg2dTolerance_sq = cg2dTolerance**2 |
| 280 |
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| 281 |
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C >>>>>>>>>>>>>>> BEGIN SOLVER <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
| 282 |
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Cml begin main solver loop |
| 283 |
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#if ((defined ALLOW_AUTODIFF_TAMC) && (defined ALLOW_LOOP_DIRECTIVE)) |
| 284 |
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CADJ LOOP = iteration, cg2d_x = comlev_cg2d_iter |
| 285 |
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#endif /* ALLOW_AUTODIFF_TAMC and ALLOW_LOOP_DIRECTIVE */ |
| 286 |
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DO it2d=1, numIters |
| 287 |
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#ifdef ALLOW_LOOP_DIRECTIVE |
| 288 |
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CML it2d = 0 |
| 289 |
jmc |
1.3 |
CML DO WHILE ( err_sq .GT. cg2dTolerance_sq .and. it2d .LT. numIters ) |
| 290 |
heimbach |
1.1 |
CML it2d = it2d+1 |
| 291 |
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#endif /* ALLOW_LOOP_DIRECTIVE */ |
| 292 |
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| 293 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 294 |
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icg2dkey = (ikey-1)*numItersMax + it2d |
| 295 |
jmc |
1.3 |
CMLCADJ STORE err = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 296 |
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CADJ STORE err_sq = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 297 |
heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 298 |
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CML IF ( err .LT. cg2dTolerance ) THEN |
| 299 |
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IF ( err_sq .LT. cg2dTolerance_sq ) THEN |
| 300 |
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Cml DO NOTHING |
| 301 |
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ELSE |
| 302 |
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| 303 |
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CcnhDebugStarts |
| 304 |
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C WRITE(*,*) ' CG2D_NSA: Iteration ',it2d-1,' residual = ', |
| 305 |
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C & actualResidual |
| 306 |
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CcnhDebugEnds |
| 307 |
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C-- Solve preconditioning equation and update |
| 308 |
|
|
C-- conjugate direction vector "s". |
| 309 |
|
|
eta_qrN = 0. _d 0 |
| 310 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 311 |
jmc |
1.3 |
CADJ STORE cg2d_r = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 312 |
|
|
CADJ STORE cg2d_s = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 313 |
heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 314 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 315 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 316 |
|
|
DO J=1,sNy |
| 317 |
|
|
DO I=1,sNx |
| 318 |
jmc |
1.3 |
cg2d_z(I,J,bi,bj) = |
| 319 |
heimbach |
1.1 |
& pC(I ,J ,bi,bj)*cg2d_r(I ,J ,bi,bj) |
| 320 |
|
|
& +pW(I ,J ,bi,bj)*cg2d_r(I-1,J ,bi,bj) |
| 321 |
|
|
& +pW(I+1,J ,bi,bj)*cg2d_r(I+1,J ,bi,bj) |
| 322 |
|
|
& +pS(I ,J ,bi,bj)*cg2d_r(I ,J-1,bi,bj) |
| 323 |
|
|
& +pS(I ,J+1,bi,bj)*cg2d_r(I ,J+1,bi,bj) |
| 324 |
|
|
CcnhDebugStarts |
| 325 |
|
|
C cg2d_z(I,J,bi,bj) = cg2d_r(I ,J ,bi,bj) |
| 326 |
|
|
CcnhDebugEnds |
| 327 |
|
|
eta_qrN = eta_qrN |
| 328 |
|
|
& +cg2d_z(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 329 |
|
|
ENDDO |
| 330 |
|
|
ENDDO |
| 331 |
|
|
ENDDO |
| 332 |
|
|
ENDDO |
| 333 |
|
|
|
| 334 |
jmc |
1.2 |
_GLOBAL_SUM_RL(eta_qrN, myThid) |
| 335 |
heimbach |
1.1 |
CcnhDebugStarts |
| 336 |
|
|
C WRITE(*,*) ' CG2D_NSA: Iteration ',it2d-1,' eta_qrN = ',eta_qrN |
| 337 |
|
|
CcnhDebugEnds |
| 338 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 339 |
jmc |
1.3 |
CMLCADJ STORE eta_qrNM1 = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 340 |
|
|
CADJ STORE recip_eta_qrNM1 = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 341 |
heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 342 |
|
|
CML cgBeta = eta_qrN/eta_qrNM1 |
| 343 |
|
|
cgBeta = eta_qrN*recip_eta_qrNM1 |
| 344 |
|
|
CcnhDebugStarts |
| 345 |
|
|
C WRITE(*,*) ' CG2D_NSA: Iteration ',it2d-1,' beta = ',cgBeta |
| 346 |
|
|
CcnhDebugEnds |
| 347 |
jmc |
1.3 |
Cml store normalisation factor for the next interation |
| 348 |
heimbach |
1.1 |
Cml (in case there is one). |
| 349 |
|
|
CML store the inverse of the normalization factor for higher precision |
| 350 |
|
|
CML eta_qrNM1 = eta_qrN |
| 351 |
|
|
recip_eta_qrNM1 = 1./eta_qrN |
| 352 |
|
|
|
| 353 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 354 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 355 |
|
|
DO J=1,sNy |
| 356 |
|
|
DO I=1,sNx |
| 357 |
|
|
cg2d_s(I,J,bi,bj) = cg2d_z(I,J,bi,bj) |
| 358 |
|
|
& + cgBeta*cg2d_s(I,J,bi,bj) |
| 359 |
|
|
ENDDO |
| 360 |
|
|
ENDDO |
| 361 |
|
|
ENDDO |
| 362 |
|
|
ENDDO |
| 363 |
|
|
|
| 364 |
|
|
C-- Do exchanges that require messages i.e. between |
| 365 |
|
|
C-- processes. |
| 366 |
jmc |
1.3 |
c CALL EXCH_S3D_RL( cg2d_s, 1, myThid ) |
| 367 |
|
|
CALL EXCH_XY_RL ( cg2d_s, myThid ) |
| 368 |
heimbach |
1.1 |
|
| 369 |
|
|
C== Evaluate laplace operator on conjugate gradient vector |
| 370 |
|
|
C== q = A.s |
| 371 |
|
|
alpha = 0. _d 0 |
| 372 |
|
|
alpha_aux = 0. _d 0 |
| 373 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 374 |
|
|
#ifndef ALLOW_LOOP_DIRECTIVE |
| 375 |
jmc |
1.3 |
CADJ STORE cg2d_s = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 376 |
heimbach |
1.1 |
#endif /* not ALLOW_LOOP_DIRECTIVE */ |
| 377 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 378 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 379 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 380 |
|
|
DO J=1,sNy |
| 381 |
|
|
DO I=1,sNx |
| 382 |
jmc |
1.3 |
cg2d_q(I,J,bi,bj) = |
| 383 |
heimbach |
1.1 |
& aW2d(I ,J ,bi,bj)*cg2d_s(I-1,J ,bi,bj) |
| 384 |
|
|
& +aW2d(I+1,J ,bi,bj)*cg2d_s(I+1,J ,bi,bj) |
| 385 |
|
|
& +aS2d(I ,J ,bi,bj)*cg2d_s(I ,J-1,bi,bj) |
| 386 |
|
|
& +aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J+1,bi,bj) |
| 387 |
jmc |
1.3 |
& +aC2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 388 |
|
|
c & -aW2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 389 |
|
|
c & -aW2d(I+1,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 390 |
|
|
c & -aS2d(I ,J ,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 391 |
|
|
c & -aS2d(I ,J+1,bi,bj)*cg2d_s(I ,J ,bi,bj) |
| 392 |
|
|
c & -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)* |
| 393 |
|
|
c & cg2d_s(I ,J ,bi,bj)/deltaTMom/deltaTfreesurf*cg2dNorm |
| 394 |
|
|
cML & cg2d_s(I ,J ,bi,bj)/deltaTMom/deltaTMom*cg2dNorm |
| 395 |
|
|
alpha_aux = alpha_aux+cg2d_s(I,J,bi,bj)*cg2d_q(I,J,bi,bj) |
| 396 |
heimbach |
1.1 |
ENDDO |
| 397 |
|
|
ENDDO |
| 398 |
|
|
ENDDO |
| 399 |
|
|
ENDDO |
| 400 |
jmc |
1.2 |
_GLOBAL_SUM_RL(alpha_aux,myThid) |
| 401 |
heimbach |
1.1 |
CcnhDebugStarts |
| 402 |
|
|
C WRITE(*,*) ' CG2D_NSA: Iteration ',it2d-1,' SUM(s*q)= ',alpha_aux |
| 403 |
|
|
CcnhDebugEnds |
| 404 |
|
|
alpha = eta_qrN/alpha_aux |
| 405 |
|
|
CcnhDebugStarts |
| 406 |
|
|
C WRITE(*,*) ' CG2D_NSA: Iteration ',it2d-1,' alpha= ',alpha |
| 407 |
|
|
CcnhDebugEnds |
| 408 |
jmc |
1.3 |
|
| 409 |
heimbach |
1.1 |
C== Update solution and residual vectors |
| 410 |
|
|
C Now compute "interior" points. |
| 411 |
|
|
err = 0. _d 0 |
| 412 |
|
|
err_sq = 0. _d 0 |
| 413 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 414 |
|
|
#ifndef ALLOW_LOOP_DIRECTIVE |
| 415 |
jmc |
1.3 |
CADJ STORE cg2d_r = comlev1_cg2d_iter, key = icg2dkey, byte = isbyte |
| 416 |
heimbach |
1.1 |
#endif /* ALLOW_LOOP_DIRECTIVE */ |
| 417 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 418 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 419 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 420 |
|
|
DO J=1,sNy |
| 421 |
|
|
DO I=1,sNx |
| 422 |
|
|
cg2d_x(I,J,bi,bj)=cg2d_x(I,J,bi,bj)+alpha*cg2d_s(I,J,bi,bj) |
| 423 |
|
|
cg2d_r(I,J,bi,bj)=cg2d_r(I,J,bi,bj)-alpha*cg2d_q(I,J,bi,bj) |
| 424 |
|
|
err_sq = err_sq+cg2d_r(I,J,bi,bj)*cg2d_r(I,J,bi,bj) |
| 425 |
|
|
ENDDO |
| 426 |
|
|
ENDDO |
| 427 |
|
|
ENDDO |
| 428 |
|
|
ENDDO |
| 429 |
|
|
|
| 430 |
jmc |
1.2 |
_GLOBAL_SUM_RL( err_sq , myThid ) |
| 431 |
heimbach |
1.1 |
if ( err_sq .ne. 0. ) then |
| 432 |
|
|
err = SQRT(err_sq) |
| 433 |
|
|
else |
| 434 |
|
|
err = 0. |
| 435 |
|
|
end if |
| 436 |
|
|
actualIts = it2d |
| 437 |
|
|
actualResidual = err |
| 438 |
|
|
|
| 439 |
jmc |
1.3 |
c CALL EXCH_S3D_RL( cg2d_r, 1, myThid ) |
| 440 |
|
|
CALL EXCH_XY_RL ( cg2d_r, myThid ) |
| 441 |
heimbach |
1.1 |
|
| 442 |
|
|
Cml end of IF ( err .LT. cg2dTolerance ) THEN; ELSE |
| 443 |
|
|
ENDIF |
| 444 |
|
|
Cml end main solver loop |
| 445 |
|
|
ENDDO |
| 446 |
|
|
|
| 447 |
|
|
IF (cg2dNormaliseRHS) THEN |
| 448 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 449 |
jmc |
1.3 |
CADJ STORE rhsNorm = comlev1_cg2d, key = ikey, byte = isbyte |
| 450 |
|
|
CADJ STORE cg2d_x = comlev1_cg2d, key = ikey, byte = isbyte |
| 451 |
heimbach |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 452 |
|
|
C-- Un-normalise the answer |
| 453 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 454 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 455 |
|
|
DO J=1,sNy |
| 456 |
|
|
DO I=1,sNx |
| 457 |
|
|
cg2d_x(I ,J ,bi,bj) = cg2d_x(I ,J ,bi,bj)/rhsNorm |
| 458 |
|
|
ENDDO |
| 459 |
|
|
ENDDO |
| 460 |
|
|
ENDDO |
| 461 |
|
|
ENDDO |
| 462 |
|
|
ENDIF |
| 463 |
|
|
|
| 464 |
|
|
C The following exchange was moved up to solve_for_pressure |
| 465 |
|
|
C for compatibility with TAMC. |
| 466 |
jmc |
1.2 |
C _EXCH_XY_RL(cg2d_x, myThid ) |
| 467 |
heimbach |
1.1 |
c _BEGIN_MASTER( myThid ) |
| 468 |
jmc |
1.3 |
c WRITE(*,'(A,I6,1PE30.14)') ' CG2D_NSA iters, err = ', |
| 469 |
heimbach |
1.1 |
c & actualIts, actualResidual |
| 470 |
|
|
c _END_MASTER( ) |
| 471 |
|
|
|
| 472 |
|
|
C-- Return parameters to caller |
| 473 |
|
|
lastResidual=actualResidual |
| 474 |
|
|
numIters=actualIts |
| 475 |
|
|
|
| 476 |
|
|
#endif /* ALLOW_CG2D_NSA */ |
| 477 |
|
|
RETURN |
| 478 |
|
|
END |
| 479 |
|
|
|
| 480 |
|
|
# if ((defined ALLOW_AUTODIFF_TAMC) && (defined ALLOW_LOOP_DIRECTIVE)) |
| 481 |
|
|
C |
| 482 |
|
|
C These routines are routinely part of the TAMC/TAF library that is |
| 483 |
|
|
C not included in the MITcgm, therefore they are mimicked here. |
| 484 |
|
|
C |
| 485 |
|
|
subroutine adstore(chardum,int1,idow,int2,int3,icount) |
| 486 |
|
|
|
| 487 |
|
|
implicit none |
| 488 |
|
|
|
| 489 |
|
|
#include "SIZE.h" |
| 490 |
|
|
#include "tamc.h" |
| 491 |
|
|
|
| 492 |
|
|
character*(*) chardum |
| 493 |
|
|
integer int1, int2, int3, idow, icount |
| 494 |
|
|
|
| 495 |
jmc |
1.3 |
C the length of this vector must be greater or equal |
| 496 |
heimbach |
1.1 |
C twice the number of timesteps |
| 497 |
|
|
integer nidow |
| 498 |
|
|
#ifdef ALLOW_TAMC_CHECKPOINTING |
| 499 |
|
|
parameter ( nidow = 2*nchklev_1*nchklev_2*nchklev_3 ) |
| 500 |
|
|
#else |
| 501 |
|
|
parameter ( nidow = 1000000 ) |
| 502 |
|
|
#endif /* ALLOW_TAMC_CHECKPOINTING */ |
| 503 |
|
|
integer istoreidow(nidow) |
| 504 |
|
|
common /istorecommon/ istoreidow |
| 505 |
|
|
|
| 506 |
jmc |
1.3 |
print *, 'adstore: ', chardum, int1, idow, int2, int3, icount |
| 507 |
heimbach |
1.1 |
|
| 508 |
|
|
if ( icount .gt. nidow ) then |
| 509 |
|
|
print *, 'adstore: error: icount > nidow = ', nidow |
| 510 |
|
|
stop 'ABNORMAL STOP in adstore' |
| 511 |
|
|
endif |
| 512 |
|
|
|
| 513 |
|
|
istoreidow(icount) = idow |
| 514 |
|
|
|
| 515 |
|
|
return |
| 516 |
|
|
end |
| 517 |
|
|
|
| 518 |
|
|
subroutine adresto(chardum,int1,idow,int2,int3,icount) |
| 519 |
|
|
|
| 520 |
|
|
implicit none |
| 521 |
|
|
|
| 522 |
|
|
#include "SIZE.h" |
| 523 |
|
|
#include "tamc.h" |
| 524 |
|
|
|
| 525 |
|
|
character*(*) chardum |
| 526 |
|
|
integer int1, int2, int3, idow, icount |
| 527 |
|
|
|
| 528 |
|
|
|
| 529 |
jmc |
1.3 |
C the length of this vector must be greater or equal |
| 530 |
heimbach |
1.1 |
C twice the number of timesteps |
| 531 |
|
|
integer nidow |
| 532 |
|
|
#ifdef ALLOW_TAMC_CHECKPOINTING |
| 533 |
|
|
parameter ( nidow = 2*nchklev_1*nchklev_2*nchklev_3 ) |
| 534 |
|
|
#else |
| 535 |
|
|
parameter ( nidow = 1000000 ) |
| 536 |
|
|
#endif /* ALLOW_TAMC_CHECKPOINTING */ |
| 537 |
|
|
integer istoreidow(nidow) |
| 538 |
|
|
common /istorecommon/ istoreidow |
| 539 |
|
|
|
| 540 |
jmc |
1.3 |
print *, 'adresto: ', chardum, int1, idow, int2, int3, icount |
| 541 |
heimbach |
1.1 |
|
| 542 |
|
|
if ( icount .gt. nidow ) then |
| 543 |
|
|
print *, 'adstore: error: icount > nidow = ', nidow |
| 544 |
|
|
stop 'ABNORMAL STOP in adstore' |
| 545 |
|
|
endif |
| 546 |
|
|
|
| 547 |
|
|
idow = istoreidow(icount) |
| 548 |
|
|
|
| 549 |
|
|
return |
| 550 |
|
|
end |
| 551 |
|
|
# endif /* ALLOW_AUTODIFF_TAMC and ALLOW_LOOP_DIRECTIVE */ |
| 552 |
|
|
|
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