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+ /*@@
+ @file RK4.c
+ @date Fri July 14, 2006
+ @author Yosef Zlochower
+ @desc
+ A routine to perform RK4 evolution. Mostly copied from
+ genericRK.c
+ @enddesc
+ @version $Header$
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include <stdio.h>
+#include "ExternalVariables.h"
+
+static const char *rcsid = "$Header$";
+
+CCTK_FILEVERSION(CactusBase_MoL_RK4_c);
+
+/********************************************************************
+ ********************* Local Data Types ***********************
+ ********************************************************************/
+
+/********************************************************************
+ ********************* Local Routine Prototypes *********************
+ ********************************************************************/
+
+/********************************************************************
+ ***************** Scheduled Routine Prototypes *********************
+ ********************************************************************/
+
+void MoL_RK4Add(CCTK_ARGUMENTS);
+
+/********************************************************************
+ ********************* Other Routine Prototypes *********************
+ ********************************************************************/
+
+/********************************************************************
+ ********************* Local Data *****************************
+ ********************************************************************/
+
+/********************************************************************
+ ********************* External Routines **********************
+ ********************************************************************/
+
+ /*@@
+ @routine MoL_RK4Add
+ @date
+ @author
+ @desc
+ Performs a single step of a RK4 type time
+ integration.
+ @enddesc
+ @calls
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+void MoL_RK4Add(CCTK_ARGUMENTS)
+{
+
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ cGroupDynamicData arraydata;
+ CCTK_INT groupindex, ierr;
+ CCTK_INT arraytotalsize, arraydim;
+
+ /* FIXME */
+
+#ifdef MOLDOESCOMPLEX
+
+CCTK_WARN(0, "not implemented");
+ CCTK_COMPLEX Complex_alpha, Complex_beta, Complex_Delta_Time;
+ CCTK_COMPLEX * restrict OldComplexVar;
+ CCTK_COMPLEX * restrict UpdateComplexVar;
+ CCTK_COMPLEX const * restrict RHSComplexVar;
+ CCTK_COMPLEX * restrict ScratchComplexVar;
+
+#endif
+
+ static CCTK_INT scratchspace_firstindex = -99;
+ CCTK_INT index, var, scratchstep, alphaindex, scratchindex;
+ CCTK_INT totalsize, singlearraysize;
+ CCTK_REAL alpha, beta;
+ CCTK_REAL * restrict UpdateVar;
+ CCTK_REAL * restrict OldVar;
+ CCTK_REAL const * restrict RHSVar;
+ CCTK_REAL * restrict ScratchVar;
+
+ CCTK_INT arrayscratchlocation;
+
+ totalsize = 1;
+ for (arraydim = 0; arraydim < cctk_dim; arraydim++)
+ {
+ totalsize *= cctk_lsh[arraydim];
+ }
+
+ if (scratchspace_firstindex == -99)
+ {
+ scratchspace_firstindex = CCTK_FirstVarIndex("MOL::SCRATCHSPACE");
+ }
+
+ switch (MoL_Intermediate_Steps - (*MoL_Intermediate_Step))
+ {
+ case 0:
+ alpha = 1.0 / 3.0;
+ beta = 0.5;
+ break;
+ case 1:
+ alpha = 2.0 / 3.0;
+ beta = 0.5;
+ break;
+ case 2:
+ alpha = 1.0 / 3.0;
+ beta = 1.0;
+ break;
+ case 3:
+ alpha = 1.0;
+ beta = 1.0 / 6.0;
+ }
+
+ /* FIXME */
+
+#ifdef MOLDOESCOMPLEX
+
+ Complex_Delta_Time = CCTK_Cmplx((*Original_Delta_Time) / cctkGH->cctk_timefac, 0);
+ Complex_beta = CCTK_Cmplx(beta, 0);
+
+#endif
+
+ /* Real GFs */
+
+ for (var = 0; var < MoLNumEvolvedVariables; var++)
+ {
+
+ UpdateVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0,
+ EvolvedVariableIndex[var]);
+ OldVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 1,
+ EvolvedVariableIndex[var]);
+ RHSVar = (CCTK_REAL const *)CCTK_VarDataPtrI(cctkGH, 0,
+ RHSVariableIndex[var]);
+/* #define MOLDEBUG 1 */
+#ifdef MOLDEBUG
+ printf("In generic RK. Variable %d (%s). RHS %d (%s). beta %g.\n",
+ EvolvedVariableIndex[var],
+ CCTK_VarName(EvolvedVariableIndex[var]),
+ RHSVariableIndex[var],
+ CCTK_VarName(RHSVariableIndex[var]),
+ beta);
+#endif
+
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] = OldVar[index] +
+ (*Original_Delta_Time) / cctkGH->cctk_timefac * beta * RHSVar[index];
+#ifdef MOLDEBUG
+ if (CCTK_EQUALS(verbose,"extreme"))
+ {
+ printf("Variable: %d. Index: %d. dt: %f. beta %f. RHS: %f. q: %f.\n",
+ var, index, (*Original_Delta_Time) / cctkGH->cctk_timefac, beta, RHSVar[index],
+ UpdateVar[index]);
+ }
+#endif
+ }
+ ScratchVar = CCTK_VarDataPtrI(cctkGH, 0,
+ scratchspace_firstindex
+ + var );
+
+ /* scratch storage */
+ if ((*MoL_Intermediate_Step) == MoL_Intermediate_Steps)
+ {
+ for (index = 0; index < totalsize; index++)
+ {
+ ScratchVar[index] = 0;
+ }
+ }
+
+ if ((*MoL_Intermediate_Step)>1)
+ {
+ for (index = 0; index < totalsize; index++)
+ {
+ ScratchVar[index] += alpha * UpdateVar[index];
+ }
+ }
+ else
+ {
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] += ScratchVar[index] - 4.0 / 3.0 * OldVar[index];
+ }
+ }
+
+ }
+
+
+ /* Complex GFs */
+
+ /* FIXME */
+
+#ifdef MOLDOESCOMPLEX
+CCTK_WARN(0, "not done");
+#endif
+
+ /* Real arrays */
+
+ arrayscratchlocation = 0;
+
+ arraytotalsize = MoL_Max_Evolved_Array_Size;
+ if (MoL_Num_Scratch_Levels)
+ {
+ groupindex = CCTK_GroupIndex("MOL::ARRAYSCRATCHSPACE");
+ ierr = CCTK_GroupDynamicData(cctkGH, groupindex,
+ &arraydata);
+ if (ierr)
+ {
+ CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The driver does not return group information "
+ "for group '%s' (%d).",
+ CCTK_GroupName(groupindex), ierr);
+ }
+ arraytotalsize = 1;
+ for (arraydim = 0; arraydim < arraydata.dim; arraydim++)
+ {
+ arraytotalsize *= arraydata.lsh[arraydim];
+ }
+ }
+ singlearraysize = arraytotalsize / MoLNumEvolvedArrayVariables;
+
+ for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
+ {
+
+ UpdateVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0,
+ EvolvedArrayVariableIndex[var]);
+ OldVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 1,
+ EvolvedArrayVariableIndex[var]);
+ RHSVar = (CCTK_REAL const *)CCTK_VarDataPtrI(cctkGH, 0,
+ RHSArrayVariableIndex[var]);
+
+ groupindex = CCTK_GroupIndexFromVarI(EvolvedArrayVariableIndex[var]);
+ ierr = CCTK_GroupDynamicData(cctkGH, groupindex,
+ &arraydata);
+ if (ierr)
+ {
+ CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The driver does not return group information "
+ "for group '%s'.",
+ CCTK_GroupName(groupindex));
+ }
+ arraytotalsize = 1;
+ for (arraydim = 0; arraydim < arraydata.dim; arraydim++)
+ {
+ arraytotalsize *= arraydata.lsh[arraydim];
+ }
+
+ ScratchVar = &ArrayScratchSpace[arrayscratchlocation];
+
+ for (index = 0; index < arraytotalsize; index++)
+ {
+ UpdateVar[index] = OldVar[index] +
+ (*Original_Delta_Time) / cctkGH->cctk_timefac * beta * RHSVar[index];
+ }
+
+ if ((*MoL_Intermediate_Step) == MoL_Intermediate_Steps)
+ {
+ for (index = 0; index < arraytotalsize; index++)
+ {
+ ScratchVar[index] = 0;
+ }
+ }
+
+ if ((*MoL_Intermediate_Step)>1)
+ {
+ for (index = 0; index < arraytotalsize; index++)
+ {
+ ScratchVar[index] += alpha * UpdateVar[index];
+ }
+ }
+ else
+ {
+ for (index = 0; index < arraytotalsize; index++)
+ {
+ UpdateVar[index] += ScratchVar[index] - 4.0 / 3.0 * OldVar[index];
+ }
+ }
+ arrayscratchlocation += arraytotalsize;
+ }
+
+ return;
+}