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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 "ExternalVariables.h"
#include "Operators.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;
CCTK_INT totalsize;
CCTK_REAL alpha, beta;
CCTK_REAL * restrict UpdateVar;
CCTK_REAL * restrict OldVar;
CCTK_REAL const * restrict RHSVar;
CCTK_REAL * restrict ScratchVar;
CCTK_INT arrayscratchlocation;
/* Keep a running total of alpha as we perform the substeps, so that
we know the "real" alpha (including round-off errors) when we
calculate the final result. */
CCTK_REAL const time_rhs = 1.0;
CCTK_REAL const old_time = 0.0;
static CCTK_REAL time, scratch_time;
totalsize = 1;
for (arraydim = 0; arraydim < cctk_dim; arraydim++)
{
totalsize *= cctk_ash[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 = 1.0 / 2.0;
break;
case 1:
alpha = 2.0 / 3.0;
beta = 1.0 / 2.0;
break;
case 2:
alpha = 1.0 / 3.0;
beta = 1.0;
break;
case 3:
alpha = 1.0;
beta = 1.0 / 6.0;
break;
}
if (MoL_Intermediate_Steps == (*MoL_Intermediate_Step))
{
time = 0.0;
}
/* 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++)
{
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedVariableIndex[var], RHSVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] =
{1.0, (*Original_Delta_Time) / cctkGH->cctk_timefac * beta};
MoL_LinearCombination(cctkGH,
EvolvedVariableIndex[var], 0.0,
srcs, tls, facts, nsrcs);
time = facts[0] * old_time + facts[1] * time_rhs;
}
/* scratch storage */
if ((*MoL_Intermediate_Step) == MoL_Intermediate_Steps)
{
MoL_LinearCombination(cctkGH,
scratchspace_firstindex + var, 0.0,
NULL, NULL, NULL, 0);
scratch_time = 0.0;
}
if ((*MoL_Intermediate_Step)>1)
{
int const nsrcs = 1;
CCTK_INT const srcs[] = {EvolvedVariableIndex[var]};
CCTK_INT const tls[] = {0};
CCTK_REAL const facts[] = {alpha};
MoL_LinearCombination(cctkGH,
scratchspace_firstindex + var, 1.0,
srcs, tls, facts, nsrcs);
scratch_time += facts[0] * time;
}
else
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{scratchspace_firstindex + var, EvolvedVariableIndex[var]};
CCTK_INT const tls[] = {0, 1};
CCTK_REAL const facts[] = {1.0, -4.0/3.0};
MoL_LinearCombination(cctkGH,
EvolvedVariableIndex[var], 1.0,
srcs, tls, facts, nsrcs);
time += facts[0] * scratch_time + facts[1] * old_time;
}
}
/* Complex GFs */
/* FIXME */
#ifdef MOLDOESCOMPLEX
CCTK_WARN(0, "not done");
#endif
/* Real arrays */
arrayscratchlocation = 0;
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.ash[arraydim];
}
ScratchVar = &ArrayScratchSpace[arrayscratchlocation];
#pragma omp parallel for
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)
{
#pragma omp parallel for
for (index = 0; index < arraytotalsize; index++)
{
ScratchVar[index] = 0;
}
}
if ((*MoL_Intermediate_Step)>1)
{
#pragma omp parallel for
for (index = 0; index < arraytotalsize; index++)
{
ScratchVar[index] += alpha * UpdateVar[index];
}
}
else
{
#pragma omp parallel for
for (index = 0; index < arraytotalsize; index++)
{
UpdateVar[index] += ScratchVar[index] - 4.0 / 3.0 * OldVar[index];
}
}
arrayscratchlocation += arraytotalsize;
}
return;
}
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