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23 changed files with 1437 additions and 3143 deletions

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@@ -37,56 +37,51 @@ close(77)
end program checkFFT
#endif
SUBROUTINE four1(dataa,nn,isign)
implicit none
INTEGER::isign,nn
double precision,dimension(2*nn)::dataa
INTEGER::i,istep,j,m,mmax,n
double precision::tempi,tempr
DOUBLE PRECISION::theta,wi,wpi,wpr,wr,wtemp
n=2*nn
j=1
do i=1,n,2
if(j.gt.i)then
tempr=dataa(j)
tempi=dataa(j+1)
dataa(j)=dataa(i)
dataa(j+1)=dataa(i+1)
dataa(i)=tempr
dataa(i+1)=tempi
endif
m=nn
1 if ((m.ge.2).and.(j.gt.m)) then
j=j-m
m=m/2
goto 1
endif
j=j+m
enddo
mmax=2
2 if (n.gt.mmax) then
istep=2*mmax
theta=6.28318530717959d0/(isign*mmax)
wpr=-2.d0*sin(0.5d0*theta)**2
wpi=sin(theta)
wr=1.d0
wi=0.d0
do m=1,mmax,2
do i=m,n,istep
j=i+mmax
tempr=sngl(wr)*dataa(j)-sngl(wi)*dataa(j+1)
tempi=sngl(wr)*dataa(j+1)+sngl(wi)*dataa(j)
dataa(j)=dataa(i)-tempr
dataa(j+1)=dataa(i+1)-tempi
dataa(i)=dataa(i)+tempr
dataa(i+1)=dataa(i+1)+tempi
enddo
wtemp=wr
wr=wr*wpr-wi*wpi+wr
wi=wi*wpr+wtemp*wpi+wi
enddo
mmax=istep
goto 2
endif
return
END SUBROUTINE four1
!-------------
! Optimized FFT using Intel oneMKL DFTI
! Mathematical equivalence: Standard DFT definition
! Forward (isign=1): X[k] = sum_{n=0}^{N-1} x[n] * exp(-2*pi*i*k*n/N)
! Backward (isign=-1): X[k] = sum_{n=0}^{N-1} x[n] * exp(+2*pi*i*k*n/N)
! Input/Output: dataa is interleaved complex array [Re(0),Im(0),Re(1),Im(1),...]
!-------------
SUBROUTINE four1(dataa,nn,isign)
use MKL_DFTI
implicit none
INTEGER, intent(in) :: isign, nn
DOUBLE PRECISION, dimension(2*nn), intent(inout) :: dataa
type(DFTI_DESCRIPTOR), pointer :: desc
integer :: status
! Create DFTI descriptor for 1D complex-to-complex transform
status = DftiCreateDescriptor(desc, DFTI_DOUBLE, DFTI_COMPLEX, 1, nn)
if (status /= 0) return
! Set input/output storage as interleaved complex (default)
status = DftiSetValue(desc, DFTI_PLACEMENT, DFTI_INPLACE)
if (status /= 0) then
status = DftiFreeDescriptor(desc)
return
endif
! Commit the descriptor
status = DftiCommitDescriptor(desc)
if (status /= 0) then
status = DftiFreeDescriptor(desc)
return
endif
! Execute FFT based on direction
if (isign == 1) then
! Forward FFT: exp(-2*pi*i*k*n/N)
status = DftiComputeForward(desc, dataa)
else
! Backward FFT: exp(+2*pi*i*k*n/N)
status = DftiComputeBackward(desc, dataa)
endif
! Free descriptor
status = DftiFreeDescriptor(desc)
return
END SUBROUTINE four1

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@@ -5253,10 +5253,10 @@ void Parallel::PeriodicBD(Patch *Pat, MyList<var> *VarList, int Symmetry)
delete[] transfer_src;
delete[] transfer_dst;
}
double Parallel::L2Norm(Patch *Pat, var *vf)
{
int myrank;
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
double Parallel::L2Norm(Patch *Pat, var *vf)
{
int myrank;
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
double tvf, dtvf = 0;
int BDW = ghost_width;
@@ -5281,48 +5281,13 @@ double Parallel::L2Norm(Patch *Pat, var *vf)
MPI_Allreduce(&dtvf, &tvf, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
tvf = sqrt(tvf);
return tvf;
}
void Parallel::L2Norm7(Patch *Pat, var **vf, double *norms)
{
int myrank;
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
double tvf[7], dtvf[7];
int BDW = ghost_width;
for (int i = 0; i < 7; i++)
dtvf[i] = 0;
MyList<Block> *BP = Pat->blb;
while (BP)
{
Block *cg = BP->data;
if (myrank == cg->rank)
{
f_l2normhelper7(cg->shape, cg->X[0], cg->X[1], cg->X[2],
Pat->bbox[0], Pat->bbox[1], Pat->bbox[2],
Pat->bbox[3], Pat->bbox[4], Pat->bbox[5],
cg->fgfs[vf[0]->sgfn], cg->fgfs[vf[1]->sgfn], cg->fgfs[vf[2]->sgfn],
cg->fgfs[vf[3]->sgfn], cg->fgfs[vf[4]->sgfn], cg->fgfs[vf[5]->sgfn],
cg->fgfs[vf[6]->sgfn], tvf, BDW);
for (int i = 0; i < 7; i++)
dtvf[i] += tvf[i];
}
if (BP == Pat->ble)
break;
BP = BP->next;
}
MPI_Allreduce(dtvf, tvf, 7, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
for (int i = 0; i < 7; i++)
norms[i] = sqrt(tvf[i]);
}
double Parallel::L2Norm(Patch *Pat, var *vf, MPI_Comm Comm_here)
{
int myrank;
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
return tvf;
}
double Parallel::L2Norm(Patch *Pat, var *vf, MPI_Comm Comm_here)
{
int myrank;
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
double tvf, dtvf = 0;
int BDW = ghost_width;
@@ -5347,47 +5312,12 @@ double Parallel::L2Norm(Patch *Pat, var *vf, MPI_Comm Comm_here)
MPI_Allreduce(&dtvf, &tvf, 1, MPI_DOUBLE, MPI_SUM, Comm_here);
tvf = sqrt(tvf);
return tvf;
}
void Parallel::L2Norm7(Patch *Pat, var **vf, double *norms, MPI_Comm Comm_here)
{
int myrank;
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
double tvf[7], dtvf[7];
int BDW = ghost_width;
for (int i = 0; i < 7; i++)
dtvf[i] = 0;
MyList<Block> *BP = Pat->blb;
while (BP)
{
Block *cg = BP->data;
if (myrank == cg->rank)
{
f_l2normhelper7(cg->shape, cg->X[0], cg->X[1], cg->X[2],
Pat->bbox[0], Pat->bbox[1], Pat->bbox[2],
Pat->bbox[3], Pat->bbox[4], Pat->bbox[5],
cg->fgfs[vf[0]->sgfn], cg->fgfs[vf[1]->sgfn], cg->fgfs[vf[2]->sgfn],
cg->fgfs[vf[3]->sgfn], cg->fgfs[vf[4]->sgfn], cg->fgfs[vf[5]->sgfn],
cg->fgfs[vf[6]->sgfn], tvf, BDW);
for (int i = 0; i < 7; i++)
dtvf[i] += tvf[i];
}
if (BP == Pat->ble)
break;
BP = BP->next;
}
MPI_Allreduce(dtvf, tvf, 7, MPI_DOUBLE, MPI_SUM, Comm_here);
for (int i = 0; i < 7; i++)
norms[i] = sqrt(tvf[i]);
}
void Parallel::checkgsl(MyList<Parallel::gridseg> *pp, bool first_only)
{
int myrank = 0;
return tvf;
}
void Parallel::checkgsl(MyList<Parallel::gridseg> *pp, bool first_only)
{
int myrank = 0;
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
if (myrank == 0)
{

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@@ -179,13 +179,12 @@ namespace Parallel
MyList<Parallel::gridseg> *clone_gsl(MyList<Parallel::gridseg> *p, bool first_only);
MyList<Parallel::gridseg> *build_bulk_gsl(Patch *Pat); // similar to build_owned_gsl0 but does not care rank issue
MyList<Parallel::gridseg> *build_bulk_gsl(Block *bp, Patch *Pat);
void build_PhysBD_gstl(Patch *Pat, MyList<Parallel::gridseg> *srci, MyList<Parallel::gridseg> *dsti,
MyList<Parallel::gridseg> **out_src, MyList<Parallel::gridseg> **out_dst);
void PeriodicBD(Patch *Pat, MyList<var> *VarList, int Symmetry);
double L2Norm(Patch *Pat, var *vf);
void L2Norm7(Patch *Pat, var **vf, double *norms);
void checkgsl(MyList<Parallel::gridseg> *pp, bool first_only);
void checkvarl(MyList<var> *pp, bool first_only);
void build_PhysBD_gstl(Patch *Pat, MyList<Parallel::gridseg> *srci, MyList<Parallel::gridseg> *dsti,
MyList<Parallel::gridseg> **out_src, MyList<Parallel::gridseg> **out_dst);
void PeriodicBD(Patch *Pat, MyList<var> *VarList, int Symmetry);
double L2Norm(Patch *Pat, var *vf);
void checkgsl(MyList<Parallel::gridseg> *pp, bool first_only);
void checkvarl(MyList<var> *pp, bool first_only);
MyList<Parallel::gridseg> *divide_gsl(MyList<Parallel::gridseg> *p, Patch *Pat);
MyList<Parallel::gridseg> *divide_gs(MyList<Parallel::gridseg> *p, Patch *Pat);
void prepare_inter_time_level(Patch *Pat,
@@ -217,12 +216,11 @@ namespace Parallel
void aligncheck(double *bbox0, double *bboxl, int lev, double *DH0, int *shape);
bool point_locat_gsl(double *pox, MyList<Parallel::gridseg> *gsl);
void checkpatchlist(MyList<Patch> *PatL, bool buflog);
double L2Norm(Patch *Pat, var *vf, MPI_Comm Comm_here);
void L2Norm7(Patch *Pat, var **vf, double *norms, MPI_Comm Comm_here);
bool PatList_Interp_Points(MyList<Patch> *PatL, MyList<var> *VarList,
int NN, double **XX,
double *Shellf, int Symmetry, MPI_Comm Comm_here);
double L2Norm(Patch *Pat, var *vf, MPI_Comm Comm_here);
bool PatList_Interp_Points(MyList<Patch> *PatL, MyList<var> *VarList,
int NN, double **XX,
double *Shellf, int Symmetry, MPI_Comm Comm_here);
#if (PSTR == 1 || PSTR == 2 || PSTR == 3)
MyList<Block> *distribute(MyList<Patch> *PatchLIST, int cpusize, int ingfsi, int fngfsi,
bool periodic, int start_rank, int end_rank, int nodes = 0);

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@@ -3439,10 +3439,10 @@ void ShellPatch::write_Pablo_file_ss(int *ext, double xmin, double xmax, double
delete[] Z;
}
double ShellPatch::L2Norm(var *vf)
{
double tvf, dtvf = 0;
int BDW = overghost;
double ShellPatch::L2Norm(var *vf)
{
double tvf, dtvf = 0;
int BDW = overghost;
MyList<ss_patch> *sPp = PatL;
while (sPp)
@@ -3469,50 +3469,13 @@ double ShellPatch::L2Norm(var *vf)
MPI_Allreduce(&dtvf, &tvf, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
tvf = sqrt(tvf);
return tvf;
}
void ShellPatch::L2Norm7(var **vf, double *norms)
{
double tvf[7], dtvf[7];
int BDW = overghost;
for (int i = 0; i < 7; i++)
dtvf[i] = 0;
MyList<ss_patch> *sPp = PatL;
while (sPp)
{
MyList<Block> *Bp = sPp->data->blb;
while (Bp)
{
Block *cg = Bp->data;
if (myrank == cg->rank)
{
f_l2normhelper7(cg->shape, cg->X[0], cg->X[1], cg->X[2],
sPp->data->bbox[0], sPp->data->bbox[1], sPp->data->bbox[2],
sPp->data->bbox[3], sPp->data->bbox[4], sPp->data->bbox[5],
cg->fgfs[vf[0]->sgfn], cg->fgfs[vf[1]->sgfn], cg->fgfs[vf[2]->sgfn],
cg->fgfs[vf[3]->sgfn], cg->fgfs[vf[4]->sgfn], cg->fgfs[vf[5]->sgfn],
cg->fgfs[vf[6]->sgfn], tvf, BDW);
for (int i = 0; i < 7; i++)
dtvf[i] += tvf[i];
}
if (Bp == sPp->data->ble)
break;
Bp = Bp->next;
}
sPp = sPp->next;
}
MPI_Allreduce(dtvf, tvf, 7, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
for (int i = 0; i < 7; i++)
norms[i] = sqrt(tvf[i]);
}
// find maximum of abstract value, XX store position for maximum, Shellf store maximum themselvs
void ShellPatch::Find_Maximum(MyList<var> *VarList, double *XX,
double *Shellf)
return tvf;
}
// find maximum of abstract value, XX store position for maximum, Shellf store maximum themselvs
void ShellPatch::Find_Maximum(MyList<var> *VarList, double *XX,
double *Shellf)
{
MyList<var> *varl;
int num_var = 0;

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@@ -195,11 +195,10 @@ public:
bool Interp_One_Point(MyList<var> *VarList,
double *XX, /*input global Cartesian coordinate*/
double *Shellf, int Symmetry);
void write_Pablo_file_ss(int *ext, double xmin, double xmax, double ymin, double ymax, double zmin, double zmax,
char *filename, int sst);
double L2Norm(var *vf);
void L2Norm7(var **vf, double *norms);
void Find_Maximum(MyList<var> *VarList, double *XX, double *Shellf);
};
void write_Pablo_file_ss(int *ext, double xmin, double xmax, double ymin, double ymax, double zmin, double zmax,
char *filename, int sst);
double L2Norm(var *vf);
void Find_Maximum(MyList<var> *VarList, double *XX, double *Shellf);
};
#endif /* SHELLPATCH_H */

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@@ -25,23 +25,9 @@ using namespace std;
#include <math.h>
#include <complex.h>
#endif
#include "TwoPunctures.h"
extern "C" {
double cblas_ddot(const int, const double *, const int, const double *, const int);
double cblas_dnrm2(const int, const double *, const int);
void cblas_dgemm(const int, const int, const int,
const int, const int, const int,
const double, const double *, const int,
const double *, const int, const double,
double *, const int);
}
enum {
CblasRowMajor = 101,
CblasNoTrans = 111
};
#include "TwoPunctures.h"
#include <mkl_cblas.h>
TwoPunctures::TwoPunctures(double mp, double mm, double b,
double P_plusx, double P_plusy, double P_plusz,

File diff suppressed because it is too large Load Diff

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@@ -45,11 +45,10 @@ public:
int checkrun;
char checkfilename[50];
int Steps;
double StartTime, TotalTime;
double AnasTime, DumpTime, d2DumpTime, CheckTime;
double LastAnas, LastConsOut;
int *ConstraintRefreshLevels;
double Courant;
double StartTime, TotalTime;
double AnasTime, DumpTime, d2DumpTime, CheckTime;
double LastAnas, LastConsOut;
double Courant;
double numepss, numepsb, numepsh;
int Symmetry;
int maxl, decn;
@@ -134,9 +133,9 @@ public:
Parallel::SyncCache *sync_cache_restrict; // cached Restrict in RestrictProlong
Parallel::SyncCache *sync_cache_outbd; // cached OutBdLow2Hi in RestrictProlong
monitor *ErrorMonitor, *Psi4Monitor, *BHMonitor, *MAPMonitor;
monitor *ConVMonitor, *TimingMonitor;
surface_integral *Waveshell;
monitor *ErrorMonitor, *Psi4Monitor, *BHMonitor, *MAPMonitor;
monitor *ConVMonitor;
surface_integral *Waveshell;
checkpoint *CheckPoint;
public:

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@@ -22,32 +22,19 @@
#define f_compute_rhs_Z4c_ss COMPUTE_RHS_Z4C_SS
#define f_compute_constraint_fr COMPUTE_CONSTRAINT_FR
#endif
#ifdef fortran3
#define f_compute_rhs_bssn compute_rhs_bssn_
#ifdef fortran3
#define f_compute_rhs_bssn compute_rhs_bssn_
#define f_compute_rhs_bssn_ss compute_rhs_bssn_ss_
#define f_compute_rhs_bssn_escalar compute_rhs_bssn_escalar_
#define f_compute_rhs_bssn_escalar_ss compute_rhs_bssn_escalar_ss_
#define f_compute_rhs_Z4c compute_rhs_z4c_
#define f_compute_rhs_Z4cnot compute_rhs_z4cnot_
#define f_compute_rhs_Z4c_ss compute_rhs_z4c_ss_
#define f_compute_constraint_fr compute_constraint_fr_
#endif
#ifdef __cplusplus
extern "C"
{
#endif
void f_bssn_rhs_kernel_timing_reset();
int f_bssn_rhs_kernel_timing_bucket_count();
const double *f_bssn_rhs_kernel_timing_local_seconds();
const char *f_bssn_rhs_kernel_timing_label(int);
#ifdef __cplusplus
}
#endif
extern "C"
{
int f_compute_rhs_bssn(int *, double &, double *, double *, double *, // ex,T,X,Y,Z
#define f_compute_constraint_fr compute_constraint_fr_
#endif
extern "C"
{
int f_compute_rhs_bssn(int *, double &, double *, double *, double *, // ex,T,X,Y,Z
double *, double *, // chi, trK
double *, double *, double *, double *, double *, double *, // gij
double *, double *, double *, double *, double *, double *, // Aij

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@@ -2,88 +2,12 @@
#include "bssn_rhs.h"
#include "share_func.h"
#include "tool.h"
#include <time.h>
// 0-based i,j,k
// #define IDX_F(i,j,k,nx,ny) ((i) + (j)*(nx) + (k)*(nx)*(ny))
// ex(1)=nx, ex(2)=ny, ex(3)=nz
// 用法a[ IDX_F(i,j,k,nx,ny) ]
#ifndef BSSN_KERNEL_FINE_TIMING
#define BSSN_KERNEL_FINE_TIMING 0
#endif
#if BSSN_KERNEL_FINE_TIMING
namespace rhs_kernel_timing
{
enum Bucket
{
KB_SETUP_DERIVS = 0,
KB_GEOM_GAMMA,
KB_RICCI_METRIC,
KB_CHI_LAPSE,
KB_AIJ_TRK_GAUGE,
KB_KO_CONSTRAINT,
KB_COUNT
};
static double local_bucket_seconds[KB_COUNT];
static const char *bucket_labels[KB_COUNT] =
{
"setup_derivs",
"geom_gamma",
"ricci_metric",
"chi_lapse",
"aij_trk_gauge",
"ko_constraint"
};
static inline double now_seconds()
{
struct timespec ts;
clock_gettime(CLOCK_MONOTONIC, &ts);
return double(ts.tv_sec) + 1.0e-9 * double(ts.tv_nsec);
}
}
extern "C" void f_bssn_rhs_kernel_timing_reset()
{
for (int i = 0; i < rhs_kernel_timing::KB_COUNT; ++i)
rhs_kernel_timing::local_bucket_seconds[i] = 0.0;
}
extern "C" int f_bssn_rhs_kernel_timing_bucket_count()
{
return rhs_kernel_timing::KB_COUNT;
}
extern "C" const double *f_bssn_rhs_kernel_timing_local_seconds()
{
return rhs_kernel_timing::local_bucket_seconds;
}
extern "C" const char *f_bssn_rhs_kernel_timing_label(int bucket_index)
{
if (bucket_index < 0 || bucket_index >= rhs_kernel_timing::KB_COUNT)
return "unknown";
return rhs_kernel_timing::bucket_labels[bucket_index];
}
#define RHS_KERNEL_TIMER_DECL(var_name) const double var_name = rhs_kernel_timing::now_seconds()
#define RHS_KERNEL_TIMER_ADD(bucket_name, var_name) \
rhs_kernel_timing::local_bucket_seconds[int(rhs_kernel_timing::bucket_name)] += \
rhs_kernel_timing::now_seconds() - (var_name)
#else
extern "C" void f_bssn_rhs_kernel_timing_reset() {}
extern "C" int f_bssn_rhs_kernel_timing_bucket_count() { return 0; }
extern "C" const double *f_bssn_rhs_kernel_timing_local_seconds() { return 0; }
extern "C" const char *f_bssn_rhs_kernel_timing_label(int) { return "disabled"; }
#define RHS_KERNEL_TIMER_DECL(var_name)
#define RHS_KERNEL_TIMER_ADD(bucket_name, var_name)
#endif
// C function that calculates the right-hand side for BSSN equations
int f_compute_rhs_bssn(int *ex, double &T,
double *X, double *Y, double *Z,
@@ -178,7 +102,6 @@ int f_compute_rhs_bssn(int *ex, double &T,
dY = Y[1] - Y[0];
dZ = Z[1] - Z[0];
RHS_KERNEL_TIMER_DECL(timer_setup_derivs);
// 1ms //
for(int i=0;i<all;i+=1){
alpn1[i] = Lap[i] + 1.0;
@@ -218,8 +141,6 @@ int f_compute_rhs_bssn(int *ex, double &T,
(dxx[i] + ONE) * betaxz[i] + gxy[i] * betayz[i] + gyz[i] * betayx[i]
+ (dzz[i] + ONE) * betazx[i] - gxz[i] * betayy[i];
}
RHS_KERNEL_TIMER_ADD(KB_SETUP_DERIVS, timer_setup_derivs);
RHS_KERNEL_TIMER_DECL(timer_geom_gamma);
// Fused: inverse metric + Gamma constraint + Christoffel (3 loops -> 1)
for(int i=0;i<all;i+=1){
double det = (dxx[i] + ONE) * (dyy[i] + ONE) * (dzz[i] + ONE) + gxy[i] * gyz[i] * gxz[i] + gxz[i] * gxy[i] * gyz[i] -
@@ -362,6 +283,9 @@ int f_compute_rhs_bssn(int *ex, double &T,
+ ( gupxy[i]*gupyz[i] + gupyy[i]*gupxz[i] ) * Axy[i]
+ ( gupxy[i]*gupzz[i] + gupyz[i]*gupxz[i] ) * Axz[i]
+ ( gupyy[i]*gupzz[i] + gupyz[i]*gupyz[i] ) * Ayz[i];
Rxx[i] = axx; Ryy[i] = ayy; Rzz[i] = azz;
Rxy[i] = axy; Rxz[i] = axz; Ryz[i] = ayz;
Gamx_rhs[i] = - TWO * ( Lapx[i]*axx + Lapy[i]*axy + Lapz[i]*axz ) +
TWO * alpn1[i] * (
-F3o2/chin1[i] * ( chix[i]*axx + chiy[i]*axy + chiz[i]*axz ) -
@@ -391,8 +315,6 @@ int f_compute_rhs_bssn(int *ex, double &T,
+ TWO * ( Gamzxy[i]*axy + Gamzxz[i]*axz + Gamzyz[i]*ayz )
);
}
RHS_KERNEL_TIMER_ADD(KB_GEOM_GAMMA, timer_geom_gamma);
RHS_KERNEL_TIMER_DECL(timer_ricci_metric);
// 22.3ms //
fdderivs(ex,betax,gxxx,gxyx,gxzx,gyyx,gyzx,gzzx,
X,Y,Z,ANTI,SYM, SYM ,Symmetry,Lev);
@@ -410,6 +332,7 @@ int f_compute_rhs_bssn(int *ex, double &T,
double lfxx = gxxx[i] + gxyy[i] + gxzz[i];
double lfxy = gxyx[i] + gyyy[i] + gyzz[i];
double lfxz = gxzx[i] + gyzy[i] + gzzz[i];
fxx[i] = lfxx; fxy[i] = lfxy; fxz[i] = lfxz;
double gxa = gupxx[i]*Gamxxx[i] + gupyy[i]*Gamxyy[i] + gupzz[i]*Gamxzz[i]
+ TWO * ( gupxy[i]*Gamxxy[i] + gupxz[i]*Gamxxz[i] + gupyz[i]*Gamxyz[i] );
@@ -763,74 +686,69 @@ int f_compute_rhs_bssn(int *ex, double &T,
+ Gamxyz[i] * gzzx[i] + Gamyyz[i] * gzzy[i] + Gamzyz[i] * gzzz[i]
);
}
RHS_KERNEL_TIMER_ADD(KB_RICCI_METRIC, timer_ricci_metric);
RHS_KERNEL_TIMER_DECL(timer_chi_lapse);
// 22.3ms //
fdderivs(ex,chi,fxx,fxy,fxz,fyy,fyz,fzz,X,Y,Z,SYM,SYM,SYM,Symmetry,Lev);
// 7ms //
for (int i=0;i<all;i+=1) {
const double inv_chin1 = ONE / chin1[i];
const double half_inv_chin1 = HALF * inv_chin1;
const double scaled_inv = F3o2 * inv_chin1;
const double cxx = fxx[i] - Gamxxx[i] * chix[i] - Gamyxx[i] * chiy[i] - Gamzxx[i] * chiz[i];
const double cxy = fxy[i] - Gamxxy[i] * chix[i] - Gamyxy[i] * chiy[i] - Gamzxy[i] * chiz[i];
const double cxz = fxz[i] - Gamxxz[i] * chix[i] - Gamyxz[i] * chiy[i] - Gamzxz[i] * chiz[i];
const double cyy = fyy[i] - Gamxyy[i] * chix[i] - Gamyyy[i] * chiy[i] - Gamzyy[i] * chiz[i];
const double cyz = fyz[i] - Gamxyz[i] * chix[i] - Gamyyz[i] * chiy[i] - Gamzyz[i] * chiz[i];
const double czz = fzz[i] - Gamxzz[i] * chix[i] - Gamyzz[i] * chiy[i] - Gamzzz[i] * chiz[i];
const double ricci_chi =
gupxx[i] * (cxx - scaled_inv * chix[i] * chix[i])
+ gupyy[i] * (cyy - scaled_inv * chiy[i] * chiy[i])
+ gupzz[i] * (czz - scaled_inv * chiz[i] * chiz[i])
+ TWO * gupxy[i] * (cxy - scaled_inv * chix[i] * chiy[i])
+ TWO * gupxz[i] * (cxz - scaled_inv * chix[i] * chiz[i])
+ TWO * gupyz[i] * (cyz - scaled_inv * chiy[i] * chiz[i]);
f[i] = ricci_chi;
Rxx[i] = Rxx[i] + ( cxx - half_inv_chin1 * chix[i] * chix[i] + (dxx[i] + ONE) * ricci_chi ) * half_inv_chin1;
Ryy[i] = Ryy[i] + ( cyy - half_inv_chin1 * chiy[i] * chiy[i] + (dyy[i] + ONE) * ricci_chi ) * half_inv_chin1;
Rzz[i] = Rzz[i] + ( czz - half_inv_chin1 * chiz[i] * chiz[i] + (dzz[i] + ONE) * ricci_chi ) * half_inv_chin1;
fxx[i] = fxx[i] - Gamxxx[i] * chix[i] - Gamyxx[i] * chiy[i] - Gamzxx[i] * chiz[i];
fxy[i] = fxy[i] - Gamxxy[i] * chix[i] - Gamyxy[i] * chiy[i] - Gamzxy[i] * chiz[i];
fxz[i] = fxz[i] - Gamxxz[i] * chix[i] - Gamyxz[i] * chiy[i] - Gamzxz[i] * chiz[i];
fyy[i] = fyy[i] - Gamxyy[i] * chix[i] - Gamyyy[i] * chiy[i] - Gamzyy[i] * chiz[i];
fyz[i] = fyz[i] - Gamxyz[i] * chix[i] - Gamyyz[i] * chiy[i] - Gamzyz[i] * chiz[i];
fzz[i] = fzz[i] - Gamxzz[i] * chix[i] - Gamyzz[i] * chiy[i] - Gamzzz[i] * chiz[i];
f[i] =
gupxx[i] * (fxx[i] - (F3o2 / chin1[i]) * chix[i] * chix[i])
+ gupyy[i] * (fyy[i] - (F3o2 / chin1[i]) * chiy[i] * chiy[i])
+ gupzz[i] * (fzz[i] - (F3o2 / chin1[i]) * chiz[i] * chiz[i])
+ TWO * gupxy[i] * (fxy[i] - (F3o2 / chin1[i]) * chix[i] * chiy[i])
+ TWO * gupxz[i] * (fxz[i] - (F3o2 / chin1[i]) * chix[i] * chiz[i])
+ TWO * gupyz[i] * (fyz[i] - (F3o2 / chin1[i]) * chiy[i] * chiz[i]);
Rxx[i] = Rxx[i] + ( fxx[i] - (chix[i] * chix[i]) / (chin1[i] * TWO) + (dxx[i] + ONE) * f[i] ) / (chin1[i] * TWO);
Ryy[i] = Ryy[i] + ( fyy[i] - (chiy[i] * chiy[i]) / (chin1[i] * TWO) + (dyy[i] + ONE) * f[i] ) / (chin1[i] * TWO);
Rzz[i] = Rzz[i] + ( fzz[i] - (chiz[i] * chiz[i]) / (chin1[i] * TWO) + (dzz[i] + ONE) * f[i] ) / (chin1[i] * TWO);
Rxy[i] = Rxy[i] + ( cxy - half_inv_chin1 * chix[i] * chiy[i] + gxy[i] * ricci_chi ) * half_inv_chin1;
Rxz[i] = Rxz[i] + ( cxz - half_inv_chin1 * chix[i] * chiz[i] + gxz[i] * ricci_chi ) * half_inv_chin1;
Ryz[i] = Ryz[i] + ( cyz - half_inv_chin1 * chiy[i] * chiz[i] + gyz[i] * ricci_chi ) * half_inv_chin1;
Rxy[i] = Rxy[i] + ( fxy[i] - (chix[i] * chiy[i]) / (chin1[i] * TWO) + gxy[i] * f[i] ) / (chin1[i] * TWO);
Rxz[i] = Rxz[i] + ( fxz[i] - (chix[i] * chiz[i]) / (chin1[i] * TWO) + gxz[i] * f[i] ) / (chin1[i] * TWO);
Ryz[i] = Ryz[i] + ( fyz[i] - (chiy[i] * chiz[i]) / (chin1[i] * TWO) + gyz[i] * f[i] ) / (chin1[i] * TWO);
}
// 24ms //
fdderivs(ex,Lap,fxx,fxy,fxz,fyy,fyz,fzz,X,Y,Z,SYM,SYM,SYM,Symmetry,Lev);
fderivs(ex,chi,dtSfx_rhs,dtSfy_rhs,dtSfz_rhs,X,Y,Z,SYM,SYM,SYM,Symmetry,Lev);
// 6ms //
for (int i=0;i<all;i+=1) {
const double inv_chin1 = ONE / chin1[i];
const double gchi_x = (gupxx[i] * chix[i] + gupxy[i] * chiy[i] + gupxz[i] * chiz[i]) * inv_chin1;
const double gchi_y = (gupxy[i] * chix[i] + gupyy[i] * chiy[i] + gupyz[i] * chiz[i]) * inv_chin1;
const double gchi_z = (gupxz[i] * chix[i] + gupyz[i] * chiy[i] + gupzz[i] * chiz[i]) * inv_chin1;
/* gxxx,gxxy,gxxz (这里是“升指标后的chi导数/chi”那类量你沿用原变量名即可) */
gxxx[i] = (gupxx[i] * chix[i] + gupxy[i] * chiy[i] + gupxz[i] * chiz[i]) / chin1[i];
gxxy[i] = (gupxy[i] * chix[i] + gupyy[i] * chiy[i] + gupyz[i] * chiz[i]) / chin1[i];
gxxz[i] = (gupxz[i] * chix[i] + gupyz[i] * chiy[i] + gupzz[i] * chiz[i]) / chin1[i];
/* Christoffel 修正项 */
Gamxxx[i] = Gamxxx[i] - ( ((chix[i] + chix[i]) * inv_chin1) - (dxx[i] + ONE) * gchi_x ) * HALF;
Gamyxx[i] = Gamyxx[i] - ( 0.0 - (dxx[i] + ONE) * gchi_y ) * HALF; /* 原式只有 -gxx*gxxy */
Gamzxx[i] = Gamzxx[i] - ( 0.0 - (dxx[i] + ONE) * gchi_z ) * HALF;
Gamxxx[i] = Gamxxx[i] - ( ((chix[i] + chix[i]) / chin1[i]) - (dxx[i] + ONE) * gxxx[i] ) * HALF;
Gamyxx[i] = Gamyxx[i] - ( 0.0 - (dxx[i] + ONE) * gxxy[i] ) * HALF; /* 原式只有 -gxx*gxxy */
Gamzxx[i] = Gamzxx[i] - ( 0.0 - (dxx[i] + ONE) * gxxz[i] ) * HALF;
Gamxyy[i] = Gamxyy[i] - ( 0.0 - (dyy[i] + ONE) * gchi_x ) * HALF;
Gamyyy[i] = Gamyyy[i] - ( ((chiy[i] + chiy[i]) * inv_chin1) - (dyy[i] + ONE) * gchi_y ) * HALF;
Gamzyy[i] = Gamzyy[i] - ( 0.0 - (dyy[i] + ONE) * gchi_z ) * HALF;
Gamxyy[i] = Gamxyy[i] - ( 0.0 - (dyy[i] + ONE) * gxxx[i] ) * HALF;
Gamyyy[i] = Gamyyy[i] - ( ((chiy[i] + chiy[i]) / chin1[i]) - (dyy[i] + ONE) * gxxy[i] ) * HALF;
Gamzyy[i] = Gamzyy[i] - ( 0.0 - (dyy[i] + ONE) * gxxz[i] ) * HALF;
Gamxzz[i] = Gamxzz[i] - ( 0.0 - (dzz[i] + ONE) * gchi_x ) * HALF;
Gamyzz[i] = Gamyzz[i] - ( 0.0 - (dzz[i] + ONE) * gchi_y ) * HALF;
Gamzzz[i] = Gamzzz[i] - ( ((chiz[i] + chiz[i]) * inv_chin1) - (dzz[i] + ONE) * gchi_z ) * HALF;
Gamxzz[i] = Gamxzz[i] - ( 0.0 - (dzz[i] + ONE) * gxxx[i] ) * HALF;
Gamyzz[i] = Gamyzz[i] - ( 0.0 - (dzz[i] + ONE) * gxxy[i] ) * HALF;
Gamzzz[i] = Gamzzz[i] - ( ((chiz[i] + chiz[i]) / chin1[i]) - (dzz[i] + ONE) * gxxz[i] ) * HALF;
Gamxxy[i] = Gamxxy[i] - ( ( chiy[i] * inv_chin1) - gxy[i] * gchi_x ) * HALF;
Gamyxy[i] = Gamyxy[i] - ( ( chix[i] * inv_chin1) - gxy[i] * gchi_y ) * HALF;
Gamzxy[i] = Gamzxy[i] - ( 0.0 - gxy[i] * gchi_z ) * HALF;
Gamxxy[i] = Gamxxy[i] - ( ( chiy[i] / chin1[i]) - gxy[i] * gxxx[i] ) * HALF;
Gamyxy[i] = Gamyxy[i] - ( ( chix[i] / chin1[i]) - gxy[i] * gxxy[i] ) * HALF;
Gamzxy[i] = Gamzxy[i] - ( 0.0 - gxy[i] * gxxz[i] ) * HALF;
Gamxxz[i] = Gamxxz[i] - ( ( chiz[i] * inv_chin1) - gxz[i] * gchi_x ) * HALF;
Gamyxz[i] = Gamyxz[i] - ( 0.0 - gxz[i] * gchi_y ) * HALF;
Gamzxz[i] = Gamzxz[i] - ( ( chix[i] * inv_chin1) - gxz[i] * gchi_z ) * HALF;
Gamxxz[i] = Gamxxz[i] - ( ( chiz[i] / chin1[i]) - gxz[i] * gxxx[i] ) * HALF;
Gamyxz[i] = Gamyxz[i] - ( 0.0 - gxz[i] * gxxy[i] ) * HALF;
Gamzxz[i] = Gamzxz[i] - ( ( chix[i] / chin1[i]) - gxz[i] * gxxz[i] ) * HALF;
Gamxyz[i] = Gamxyz[i] - ( 0.0 - gyz[i] * gchi_x ) * HALF;
Gamyyz[i] = Gamyyz[i] - ( ( chiz[i] * inv_chin1) - gyz[i] * gchi_y ) * HALF;
Gamzyz[i] = Gamzyz[i] - ( ( chiy[i] * inv_chin1) - gyz[i] * gchi_z ) * HALF;
Gamxyz[i] = Gamxyz[i] - ( 0.0 - gyz[i] * gxxx[i] ) * HALF;
Gamyyz[i] = Gamyyz[i] - ( ( chiz[i] / chin1[i]) - gyz[i] * gxxy[i] ) * HALF;
Gamzyz[i] = Gamzyz[i] - ( ( chiy[i] / chin1[i]) - gyz[i] * gxxz[i] ) * HALF;
/* fxx..fyz 修正:减去 Γ * ∂Lap */
fxx[i] = fxx[i] - Gamxxx[i] * Lapx[i] - Gamyxx[i] * Lapy[i] - Gamzxx[i] * Lapz[i];
@@ -844,8 +762,6 @@ int f_compute_rhs_bssn(int *ex, double &T,
trK_rhs[i] = gupxx[i] * fxx[i] + gupyy[i] * fyy[i] + gupzz[i] * fzz[i]
+ TWO * ( gupxy[i] * fxy[i] + gupxz[i] * fxz[i] + gupyz[i] * fyz[i] );
}
RHS_KERNEL_TIMER_ADD(KB_CHI_LAPSE, timer_chi_lapse);
RHS_KERNEL_TIMER_DECL(timer_aij_trk_gauge);
// 2.5ms //
for (int i=0;i<all;i+=1) {
const double divb = betaxx[i] + betayy[i] + betazz[i];
@@ -1146,8 +1062,6 @@ int f_compute_rhs_bssn(int *ex, double &T,
dtSfz_rhs[i] = Gamz_rhs[i] - reta[i] * dtSfz[i];
#endif
}
RHS_KERNEL_TIMER_ADD(KB_AIJ_TRK_GAUGE, timer_aij_trk_gauge);
RHS_KERNEL_TIMER_DECL(timer_ko_constraint);
// advection + KO dissipation with shared symmetry buffer
lopsided_kodis(ex,X,Y,Z,dxx,gxx_rhs,betax,betay,betaz,Symmetry,SSS,eps);
lopsided_kodis(ex,X,Y,Z,Gamz,Gamz_rhs,betax,betay,betaz,Symmetry,SSA,eps);
@@ -1225,61 +1139,60 @@ int f_compute_rhs_bssn(int *ex, double &T,
fderivs(ex,Ayy,gyyx,gyyy,gyyz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,0);
fderivs(ex,Ayz,gyzx,gyzy,gyzz,X,Y,Z,SYM ,ANTI,ANTI,Symmetry,0);
fderivs(ex,Azz,gzzx,gzzy,gzzz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,0);
// 7ms //
for (int i=0;i<all;i+=1) {
gxxx[i] = gxxx[i] - ( Gamxxx[i] * Axx[i] + Gamyxx[i] * Axy[i] + Gamzxx[i] * Axz[i]
+ Gamxxx[i] * Axx[i] + Gamyxx[i] * Axy[i] + Gamzxx[i] * Axz[i]) - chix[i]*Axx[i]/chin1[i];
gxyx[i] = gxyx[i] - ( Gamxxy[i] * Axx[i] + Gamyxy[i] * Axy[i] + Gamzxy[i] * Axz[i]
+ Gamxxx[i] * Axy[i] + Gamyxx[i] * Ayy[i] + Gamzxx[i] * Ayz[i]) - chix[i]*Axy[i]/chin1[i];
gxzx[i] = gxzx[i] - ( Gamxxz[i] * Axx[i] + Gamyxz[i] * Axy[i] + Gamzxz[i] * Axz[i]
+ Gamxxx[i] * Axz[i] + Gamyxx[i] * Ayz[i] + Gamzxx[i] * Azz[i]) - chix[i]*Axz[i]/chin1[i];
gyyx[i] = gyyx[i] - ( Gamxxy[i] * Axy[i] + Gamyxy[i] * Ayy[i] + Gamzxy[i] * Ayz[i]
+ Gamxxy[i] * Axy[i] + Gamyxy[i] * Ayy[i] + Gamzxy[i] * Ayz[i]) - chix[i]*Ayy[i]/chin1[i];
gyzx[i] = gyzx[i] - ( Gamxxz[i] * Axy[i] + Gamyxz[i] * Ayy[i] + Gamzxz[i] * Ayz[i]
+ Gamxxy[i] * Axz[i] + Gamyxy[i] * Ayz[i] + Gamzxy[i] * Azz[i]) - chix[i]*Ayz[i]/chin1[i];
gzzx[i] = gzzx[i] - ( Gamxxz[i] * Axz[i] + Gamyxz[i] * Ayz[i] + Gamzxz[i] * Azz[i]
+ Gamxxz[i] * Axz[i] + Gamyxz[i] * Ayz[i] + Gamzxz[i] * Azz[i]) - chix[i]*Azz[i]/chin1[i];
gxxy[i] = gxxy[i] - ( Gamxxy[i] * Axx[i] + Gamyxy[i] * Axy[i] + Gamzxy[i] * Axz[i]
+ Gamxxy[i] * Axx[i] + Gamyxy[i] * Axy[i] + Gamzxy[i] * Axz[i]) - chiy[i]*Axx[i]/chin1[i];
gxyy[i] = gxyy[i] - ( Gamxyy[i] * Axx[i] + Gamyyy[i] * Axy[i] + Gamzyy[i] * Axz[i]
+ Gamxxy[i] * Axy[i] + Gamyxy[i] * Ayy[i] + Gamzxy[i] * Ayz[i]) - chiy[i]*Axy[i]/chin1[i];
gxzy[i] = gxzy[i] - ( Gamxyz[i] * Axx[i] + Gamyyz[i] * Axy[i] + Gamzyz[i] * Axz[i]
+ Gamxxy[i] * Axz[i] + Gamyxy[i] * Ayz[i] + Gamzxy[i] * Azz[i]) - chiy[i]*Axz[i]/chin1[i];
gyyy[i] = gyyy[i] - ( Gamxyy[i] * Axy[i] + Gamyyy[i] * Ayy[i] + Gamzyy[i] * Ayz[i]
+ Gamxyy[i] * Axy[i] + Gamyyy[i] * Ayy[i] + Gamzyy[i] * Ayz[i]) - chiy[i]*Ayy[i]/chin1[i];
gyzy[i] = gyzy[i] - ( Gamxyz[i] * Axy[i] + Gamyyz[i] * Ayy[i] + Gamzyz[i] * Ayz[i]
+ Gamxyy[i] * Axz[i] + Gamyyy[i] * Ayz[i] + Gamzyy[i] * Azz[i]) - chiy[i]*Ayz[i]/chin1[i];
gzzy[i] = gzzy[i] - ( Gamxyz[i] * Axz[i] + Gamyyz[i] * Ayz[i] + Gamzyz[i] * Azz[i]
+ Gamxyz[i] * Axz[i] + Gamyyz[i] * Ayz[i] + Gamzyz[i] * Azz[i]) - chiy[i]*Azz[i]/chin1[i];
gxxz[i] = gxxz[i] - ( Gamxxz[i] * Axx[i] + Gamyxz[i] * Axy[i] + Gamzxz[i] * Axz[i]
+ Gamxxz[i] * Axx[i] + Gamyxz[i] * Axy[i] + Gamzxz[i] * Axz[i]) - chiz[i]*Axx[i]/chin1[i];
gxyz[i] = gxyz[i] - ( Gamxyz[i] * Axx[i] + Gamyyz[i] * Axy[i] + Gamzyz[i] * Axz[i]
+ Gamxxz[i] * Axy[i] + Gamyxz[i] * Ayy[i] + Gamzxz[i] * Ayz[i]) - chiz[i]*Axy[i]/chin1[i];
gxzz[i] = gxzz[i] - ( Gamxzz[i] * Axx[i] + Gamyzz[i] * Axy[i] + Gamzzz[i] * Axz[i]
+ Gamxxz[i] * Axz[i] + Gamyxz[i] * Ayz[i] + Gamzxz[i] * Azz[i]) - chiz[i]*Axz[i]/chin1[i];
gyyz[i] = gyyz[i] - ( Gamxyz[i] * Axy[i] + Gamyyz[i] * Ayy[i] + Gamzyz[i] * Ayz[i]
+ Gamxyz[i] * Axy[i] + Gamyyz[i] * Ayy[i] + Gamzyz[i] * Ayz[i]) - chiz[i]*Ayy[i]/chin1[i];
gyzz[i] = gyzz[i] - ( Gamxzz[i] * Axy[i] + Gamyzz[i] * Ayy[i] + Gamzzz[i] * Ayz[i]
+ Gamxyz[i] * Axz[i] + Gamyyz[i] * Ayz[i] + Gamzyz[i] * Azz[i]) - chiz[i]*Ayz[i]/chin1[i];
gzzz[i] = gzzz[i] - ( Gamxzz[i] * Axz[i] + Gamyzz[i] * Ayz[i] + Gamzzz[i] * Azz[i]
+ Gamxzz[i] * Axz[i] + Gamyzz[i] * Ayz[i] + Gamzzz[i] * Azz[i]) - chiz[i]*Azz[i]/chin1[i];
movx_Res[i] = gupxx[i]*gxxx[i] + gupyy[i]*gxyy[i] + gupzz[i]*gxzz[i]
+ gupxy[i]*gxyx[i] + gupxz[i]*gxzx[i] + gupyz[i]*gxzy[i]
+ gupxy[i]*gxxy[i] + gupxz[i]*gxxz[i] + gupyz[i]*gxyz[i];
movy_Res[i] = gupxx[i]*gxyx[i] + gupyy[i]*gyyy[i] + gupzz[i]*gyzz[i]
+ gupxy[i]*gyyx[i] + gupxz[i]*gyzx[i] + gupyz[i]*gyzy[i]
+ gupxy[i]*gxyy[i] + gupxz[i]*gxyz[i] + gupyz[i]*gyyz[i];
movz_Res[i] = gupxx[i]*gxzx[i] + gupyy[i]*gyzy[i] + gupzz[i]*gzzz[i]
+ gupxy[i]*gyzx[i] + gupxz[i]*gzzx[i] + gupyz[i]*gzzy[i]
+ gupxy[i]*gxzy[i] + gupxz[i]*gxzz[i] + gupyz[i]*gyzz[i];
movx_Res[i] = movx_Res[i] - F2o3*Kx[i] - F8*PI*Sx[i];
movy_Res[i] = movy_Res[i] - F2o3*Ky[i] - F8*PI*Sy[i];
movz_Res[i] = movz_Res[i] - F2o3*Kz[i] - F8*PI*Sz[i];
}
}
RHS_KERNEL_TIMER_ADD(KB_KO_CONSTRAINT, timer_ko_constraint);
// 7ms //
for (int i=0;i<all;i+=1) {
gxxx[i] = gxxx[i] - ( Gamxxx[i] * Axx[i] + Gamyxx[i] * Axy[i] + Gamzxx[i] * Axz[i]
+ Gamxxx[i] * Axx[i] + Gamyxx[i] * Axy[i] + Gamzxx[i] * Axz[i]) - chix[i]*Axx[i]/chin1[i];
gxyx[i] = gxyx[i] - ( Gamxxy[i] * Axx[i] + Gamyxy[i] * Axy[i] + Gamzxy[i] * Axz[i]
+ Gamxxx[i] * Axy[i] + Gamyxx[i] * Ayy[i] + Gamzxx[i] * Ayz[i]) - chix[i]*Axy[i]/chin1[i];
gxzx[i] = gxzx[i] - ( Gamxxz[i] * Axx[i] + Gamyxz[i] * Axy[i] + Gamzxz[i] * Axz[i]
+ Gamxxx[i] * Axz[i] + Gamyxx[i] * Ayz[i] + Gamzxx[i] * Azz[i]) - chix[i]*Axz[i]/chin1[i];
gyyx[i] = gyyx[i] - ( Gamxxy[i] * Axy[i] + Gamyxy[i] * Ayy[i] + Gamzxy[i] * Ayz[i]
+ Gamxxy[i] * Axy[i] + Gamyxy[i] * Ayy[i] + Gamzxy[i] * Ayz[i]) - chix[i]*Ayy[i]/chin1[i];
gyzx[i] = gyzx[i] - ( Gamxxz[i] * Axy[i] + Gamyxz[i] * Ayy[i] + Gamzxz[i] * Ayz[i]
+ Gamxxy[i] * Axz[i] + Gamyxy[i] * Ayz[i] + Gamzxy[i] * Azz[i]) - chix[i]*Ayz[i]/chin1[i];
gzzx[i] = gzzx[i] - ( Gamxxz[i] * Axz[i] + Gamyxz[i] * Ayz[i] + Gamzxz[i] * Azz[i]
+ Gamxxz[i] * Axz[i] + Gamyxz[i] * Ayz[i] + Gamzxz[i] * Azz[i]) - chix[i]*Azz[i]/chin1[i];
gxxy[i] = gxxy[i] - ( Gamxxy[i] * Axx[i] + Gamyxy[i] * Axy[i] + Gamzxy[i] * Axz[i]
+ Gamxxy[i] * Axx[i] + Gamyxy[i] * Axy[i] + Gamzxy[i] * Axz[i]) - chiy[i]*Axx[i]/chin1[i];
gxyy[i] = gxyy[i] - ( Gamxyy[i] * Axx[i] + Gamyyy[i] * Axy[i] + Gamzyy[i] * Axz[i]
+ Gamxxy[i] * Axy[i] + Gamyxy[i] * Ayy[i] + Gamzxy[i] * Ayz[i]) - chiy[i]*Axy[i]/chin1[i];
gxzy[i] = gxzy[i] - ( Gamxyz[i] * Axx[i] + Gamyyz[i] * Axy[i] + Gamzyz[i] * Axz[i]
+ Gamxxy[i] * Axz[i] + Gamyxy[i] * Ayz[i] + Gamzxy[i] * Azz[i]) - chiy[i]*Axz[i]/chin1[i];
gyyy[i] = gyyy[i] - ( Gamxyy[i] * Axy[i] + Gamyyy[i] * Ayy[i] + Gamzyy[i] * Ayz[i]
+ Gamxyy[i] * Axy[i] + Gamyyy[i] * Ayy[i] + Gamzyy[i] * Ayz[i]) - chiy[i]*Ayy[i]/chin1[i];
gyzy[i] = gyzy[i] - ( Gamxyz[i] * Axy[i] + Gamyyz[i] * Ayy[i] + Gamzyz[i] * Ayz[i]
+ Gamxyy[i] * Axz[i] + Gamyyy[i] * Ayz[i] + Gamzyy[i] * Azz[i]) - chiy[i]*Ayz[i]/chin1[i];
gzzy[i] = gzzy[i] - ( Gamxyz[i] * Axz[i] + Gamyyz[i] * Ayz[i] + Gamzyz[i] * Azz[i]
+ Gamxyz[i] * Axz[i] + Gamyyz[i] * Ayz[i] + Gamzyz[i] * Azz[i]) - chiy[i]*Azz[i]/chin1[i];
gxxz[i] = gxxz[i] - ( Gamxxz[i] * Axx[i] + Gamyxz[i] * Axy[i] + Gamzxz[i] * Axz[i]
+ Gamxxz[i] * Axx[i] + Gamyxz[i] * Axy[i] + Gamzxz[i] * Axz[i]) - chiz[i]*Axx[i]/chin1[i];
gxyz[i] = gxyz[i] - ( Gamxyz[i] * Axx[i] + Gamyyz[i] * Axy[i] + Gamzyz[i] * Axz[i]
+ Gamxxz[i] * Axy[i] + Gamyxz[i] * Ayy[i] + Gamzxz[i] * Ayz[i]) - chiz[i]*Axy[i]/chin1[i];
gxzz[i] = gxzz[i] - ( Gamxzz[i] * Axx[i] + Gamyzz[i] * Axy[i] + Gamzzz[i] * Axz[i]
+ Gamxxz[i] * Axz[i] + Gamyxz[i] * Ayz[i] + Gamzxz[i] * Azz[i]) - chiz[i]*Axz[i]/chin1[i];
gyyz[i] = gyyz[i] - ( Gamxyz[i] * Axy[i] + Gamyyz[i] * Ayy[i] + Gamzyz[i] * Ayz[i]
+ Gamxyz[i] * Axy[i] + Gamyyz[i] * Ayy[i] + Gamzyz[i] * Ayz[i]) - chiz[i]*Ayy[i]/chin1[i];
gyzz[i] = gyzz[i] - ( Gamxzz[i] * Axy[i] + Gamyzz[i] * Ayy[i] + Gamzzz[i] * Ayz[i]
+ Gamxyz[i] * Axz[i] + Gamyyz[i] * Ayz[i] + Gamzyz[i] * Azz[i]) - chiz[i]*Ayz[i]/chin1[i];
gzzz[i] = gzzz[i] - ( Gamxzz[i] * Axz[i] + Gamyzz[i] * Ayz[i] + Gamzzz[i] * Azz[i]
+ Gamxzz[i] * Axz[i] + Gamyzz[i] * Ayz[i] + Gamzzz[i] * Azz[i]) - chiz[i]*Azz[i]/chin1[i];
movx_Res[i] = gupxx[i]*gxxx[i] + gupyy[i]*gxyy[i] + gupzz[i]*gxzz[i]
+ gupxy[i]*gxyx[i] + gupxz[i]*gxzx[i] + gupyz[i]*gxzy[i]
+ gupxy[i]*gxxy[i] + gupxz[i]*gxxz[i] + gupyz[i]*gxyz[i];
movy_Res[i] = gupxx[i]*gxyx[i] + gupyy[i]*gyyy[i] + gupzz[i]*gyzz[i]
+ gupxy[i]*gyyx[i] + gupxz[i]*gyzx[i] + gupyz[i]*gyzy[i]
+ gupxy[i]*gxyy[i] + gupxz[i]*gxyz[i] + gupyz[i]*gyyz[i];
movz_Res[i] = gupxx[i]*gxzx[i] + gupyy[i]*gyzy[i] + gupzz[i]*gzzz[i]
+ gupxy[i]*gyzx[i] + gupxz[i]*gzzx[i] + gupyz[i]*gzzy[i]
+ gupxy[i]*gxzy[i] + gupxz[i]*gxzz[i] + gupyz[i]*gyzz[i];
movx_Res[i] = movx_Res[i] - F2o3*Kx[i] - F8*PI*Sx[i];
movy_Res[i] = movy_Res[i] - F2o3*Ky[i] - F8*PI*Sy[i];
movz_Res[i] = movz_Res[i] - F2o3*Kz[i] - F8*PI*Sz[i];
}

View File

@@ -71,131 +71,106 @@ void fdderivs(const int ex[3],
const double Fdxdz = F1o144 / (dX * dZ);
const double Fdydz = F1o144 / (dY * dZ);
/* 只清零不被主循环覆盖的边界面 */
{
/* 高边界k0=ex3-1 */
for (int j0 = 0; j0 < ex2; ++j0)
for (int i0 = 0; i0 < ex1; ++i0) {
const size_t p = idx_ex(i0, j0, ex3 - 1, ex);
fxx[p]=ZEO; fyy[p]=ZEO; fzz[p]=ZEO;
fxy[p]=ZEO; fxz[p]=ZEO; fyz[p]=ZEO;
}
/* 高边界j0=ex2-1 */
for (int k0 = 0; k0 < ex3 - 1; ++k0)
for (int i0 = 0; i0 < ex1; ++i0) {
const size_t p = idx_ex(i0, ex2 - 1, k0, ex);
fxx[p]=ZEO; fyy[p]=ZEO; fzz[p]=ZEO;
fxy[p]=ZEO; fxz[p]=ZEO; fyz[p]=ZEO;
}
/* 高边界i0=ex1-1 */
for (int k0 = 0; k0 < ex3 - 1; ++k0)
for (int j0 = 0; j0 < ex2 - 1; ++j0) {
const size_t p = idx_ex(ex1 - 1, j0, k0, ex);
fxx[p]=ZEO; fyy[p]=ZEO; fzz[p]=ZEO;
fxy[p]=ZEO; fxz[p]=ZEO; fyz[p]=ZEO;
}
/* 低边界:当二阶模板也不可用时,对应 i0/j0/k0=0 面 */
if (kminF == 1) {
for (int j0 = 0; j0 < ex2; ++j0)
for (int i0 = 0; i0 < ex1; ++i0) {
const size_t p = idx_ex(i0, j0, 0, ex);
fxx[p]=ZEO; fyy[p]=ZEO; fzz[p]=ZEO;
fxy[p]=ZEO; fxz[p]=ZEO; fyz[p]=ZEO;
}
}
if (jminF == 1) {
for (int k0 = 0; k0 < ex3; ++k0)
for (int i0 = 0; i0 < ex1; ++i0) {
const size_t p = idx_ex(i0, 0, k0, ex);
fxx[p]=ZEO; fyy[p]=ZEO; fzz[p]=ZEO;
fxy[p]=ZEO; fxz[p]=ZEO; fyz[p]=ZEO;
}
}
if (iminF == 1) {
for (int k0 = 0; k0 < ex3; ++k0)
for (int j0 = 0; j0 < ex2; ++j0) {
const size_t p = idx_ex(0, j0, k0, ex);
fxx[p]=ZEO; fyy[p]=ZEO; fzz[p]=ZEO;
fxy[p]=ZEO; fxz[p]=ZEO; fyz[p]=ZEO;
}
}
const size_t all = (size_t)ex1 * (size_t)ex2 * (size_t)ex3;
for (size_t p = 0; p < all; ++p) {
fxx[p] = ZEO; fxy[p] = ZEO; fxz[p] = ZEO;
fyy[p] = ZEO; fyz[p] = ZEO; fzz[p] = ZEO;
}
/*
* 两段式:
* 1) 二阶可用区域先计算二阶模板
* 2) 高阶可用区域再覆盖四阶模板
*/
const int i2_lo = (iminF > 0) ? iminF : 0;
const int j2_lo = (jminF > 0) ? jminF : 0;
const int k2_lo = (kminF > 0) ? kminF : 0;
const int i2_hi = ex1 - 2;
const int j2_hi = ex2 - 2;
const int k2_hi = ex3 - 2;
const int i4_lo = (iminF + 1 > 0) ? (iminF + 1) : 0;
const int j4_lo = (jminF + 1 > 0) ? (jminF + 1) : 0;
const int k4_lo = (kminF + 1 > 0) ? (kminF + 1) : 0;
const int i4_hi = ex1 - 3;
const int j4_hi = ex2 - 3;
const int k4_hi = ex3 - 3;
/*
* Strategy A:
* Avoid redundant work in overlap of 2nd/4th-order regions.
* Only compute 2nd-order on shell points that are NOT overwritten by
* the 4th-order pass.
*/
const int has4 = (i4_lo <= i4_hi && j4_lo <= j4_hi && k4_lo <= k4_hi);
if (i2_lo <= i2_hi && j2_lo <= j2_hi && k2_lo <= k2_hi) {
for (int k0 = k2_lo; k0 <= k2_hi; ++k0) {
const int kF = k0 + 1;
for (int j0 = j2_lo; j0 <= j2_hi; ++j0) {
const int jF = j0 + 1;
for (int i0 = i2_lo; i0 <= i2_hi; ++i0) {
if (has4 &&
i0 >= i4_lo && i0 <= i4_hi &&
j0 >= j4_lo && j0 <= j4_hi &&
k0 >= k4_lo && k0 <= k4_hi) {
continue;
}
const int iF = i0 + 1;
const size_t p = idx_ex(i0, j0, k0, ex);
// Match Fortran (ghost_width=3, "for bam comparison") exactly:
// only compute when x/y/z all satisfy the same-order stencil at this point.
for (int k0 = 0; k0 <= ex3 - 2; ++k0) {
const int kF = k0 + 1;
for (int j0 = 0; j0 <= ex2 - 2; ++j0) {
const int jF = j0 + 1;
for (int i0 = 0; i0 <= ex1 - 2; ++i0) {
const int iF = i0 + 1;
const size_t p = idx_ex(i0, j0, k0, ex);
if ((iF + 2 <= imaxF && iF - 2 >= iminF) &&
(jF + 2 <= jmaxF && jF - 2 >= jminF) &&
(kF + 2 <= kmaxF && kF - 2 >= kminF)) {
fxx[p] = Fdxdx * (
-fh[idx_fh_F_ord2(iF - 2, jF, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF - 1, jF, kF, ex)] -
F30 * fh[idx_fh_F_ord2(iF, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF + 2, jF, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF + 1, jF, kF, ex)]
);
fyy[p] = Fdydy * (
-fh[idx_fh_F_ord2(iF, jF - 2, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF - 1, kF, ex)] -
F30 * fh[idx_fh_F_ord2(iF, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF, jF + 2, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF + 1, kF, ex)]
);
fzz[p] = Fdzdz * (
-fh[idx_fh_F_ord2(iF, jF, kF - 2, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF, kF - 1, ex)] -
F30 * fh[idx_fh_F_ord2(iF, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF, jF, kF + 2, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF, kF + 1, ex)]
);
fxy[p] = Fdxdy * (
(fh[idx_fh_F_ord2(iF - 2, jF - 2, kF, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF - 2, kF, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF - 2, kF, ex)] - fh[idx_fh_F_ord2(iF + 2, jF - 2, kF, ex)])
- F8 * (fh[idx_fh_F_ord2(iF - 2, jF - 1, kF, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF - 1, kF, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF - 1, kF, ex)] - fh[idx_fh_F_ord2(iF + 2, jF - 1, kF, ex)])
+ F8 * (fh[idx_fh_F_ord2(iF - 2, jF + 1, kF, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF + 1, kF, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF + 1, kF, ex)] - fh[idx_fh_F_ord2(iF + 2, jF + 1, kF, ex)])
- (fh[idx_fh_F_ord2(iF - 2, jF + 2, kF, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF + 2, kF, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF + 2, kF, ex)] - fh[idx_fh_F_ord2(iF + 2, jF + 2, kF, ex)])
);
fxz[p] = Fdxdz * (
(fh[idx_fh_F_ord2(iF - 2, jF, kF - 2, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF, kF - 2, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF, kF - 2, ex)] - fh[idx_fh_F_ord2(iF + 2, jF, kF - 2, ex)])
- F8 * (fh[idx_fh_F_ord2(iF - 2, jF, kF - 1, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF, kF - 1, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF, kF - 1, ex)] - fh[idx_fh_F_ord2(iF + 2, jF, kF - 1, ex)])
+ F8 * (fh[idx_fh_F_ord2(iF - 2, jF, kF + 1, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF, kF + 1, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF, kF + 1, ex)] - fh[idx_fh_F_ord2(iF + 2, jF, kF + 1, ex)])
- (fh[idx_fh_F_ord2(iF - 2, jF, kF + 2, ex)] - F8 * fh[idx_fh_F_ord2(iF - 1, jF, kF + 2, ex)] +
F8 * fh[idx_fh_F_ord2(iF + 1, jF, kF + 2, ex)] - fh[idx_fh_F_ord2(iF + 2, jF, kF + 2, ex)])
);
fyz[p] = Fdydz * (
(fh[idx_fh_F_ord2(iF, jF - 2, kF - 2, ex)] - F8 * fh[idx_fh_F_ord2(iF, jF - 1, kF - 2, ex)] +
F8 * fh[idx_fh_F_ord2(iF, jF + 1, kF - 2, ex)] - fh[idx_fh_F_ord2(iF, jF + 2, kF - 2, ex)])
- F8 * (fh[idx_fh_F_ord2(iF, jF - 2, kF - 1, ex)] - F8 * fh[idx_fh_F_ord2(iF, jF - 1, kF - 1, ex)] +
F8 * fh[idx_fh_F_ord2(iF, jF + 1, kF - 1, ex)] - fh[idx_fh_F_ord2(iF, jF + 2, kF - 1, ex)])
+ F8 * (fh[idx_fh_F_ord2(iF, jF - 2, kF + 1, ex)] - F8 * fh[idx_fh_F_ord2(iF, jF - 1, kF + 1, ex)] +
F8 * fh[idx_fh_F_ord2(iF, jF + 1, kF + 1, ex)] - fh[idx_fh_F_ord2(iF, jF + 2, kF + 1, ex)])
- (fh[idx_fh_F_ord2(iF, jF - 2, kF + 2, ex)] - F8 * fh[idx_fh_F_ord2(iF, jF - 1, kF + 2, ex)] +
F8 * fh[idx_fh_F_ord2(iF, jF + 1, kF + 2, ex)] - fh[idx_fh_F_ord2(iF, jF + 2, kF + 2, ex)])
);
} else if ((iF + 1 <= imaxF && iF - 1 >= iminF) &&
(jF + 1 <= jmaxF && jF - 1 >= jminF) &&
(kF + 1 <= kmaxF && kF - 1 >= kminF)) {
fxx[p] = Sdxdx * (
fh[idx_fh_F_ord2(iF - 1, jF, kF, ex)] -
TWO * fh[idx_fh_F_ord2(iF, jF, kF, ex)] +
fh[idx_fh_F_ord2(iF + 1, jF, kF, ex)]
);
fyy[p] = Sdydy * (
fh[idx_fh_F_ord2(iF, jF - 1, kF, ex)] -
TWO * fh[idx_fh_F_ord2(iF, jF, kF, ex)] +
fh[idx_fh_F_ord2(iF, jF + 1, kF, ex)]
);
fzz[p] = Sdzdz * (
fh[idx_fh_F_ord2(iF, jF, kF - 1, ex)] -
TWO * fh[idx_fh_F_ord2(iF, jF, kF, ex)] +
fh[idx_fh_F_ord2(iF, jF, kF + 1, ex)]
);
fxy[p] = Sdxdy * (
fh[idx_fh_F_ord2(iF - 1, jF - 1, kF, ex)] -
fh[idx_fh_F_ord2(iF + 1, jF - 1, kF, ex)] -
fh[idx_fh_F_ord2(iF - 1, jF + 1, kF, ex)] +
fh[idx_fh_F_ord2(iF + 1, jF + 1, kF, ex)]
);
fxz[p] = Sdxdz * (
fh[idx_fh_F_ord2(iF - 1, jF, kF - 1, ex)] -
fh[idx_fh_F_ord2(iF + 1, jF, kF - 1, ex)] -
fh[idx_fh_F_ord2(iF - 1, jF, kF + 1, ex)] +
fh[idx_fh_F_ord2(iF + 1, jF, kF + 1, ex)]
);
fyz[p] = Sdydz * (
fh[idx_fh_F_ord2(iF, jF - 1, kF - 1, ex)] -
fh[idx_fh_F_ord2(iF, jF + 1, kF - 1, ex)] -
@@ -207,126 +182,5 @@ void fdderivs(const int ex[3],
}
}
if (has4) {
for (int k0 = k4_lo; k0 <= k4_hi; ++k0) {
const int kF = k0 + 1;
for (int j0 = j4_lo; j0 <= j4_hi; ++j0) {
const int jF = j0 + 1;
for (int i0 = i4_lo; i0 <= i4_hi; ++i0) {
const int iF = i0 + 1;
const size_t p = idx_ex(i0, j0, k0, ex);
fxx[p] = Fdxdx * (
-fh[idx_fh_F_ord2(iF - 2, jF, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF - 1, jF, kF, ex)] -
F30 * fh[idx_fh_F_ord2(iF, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF + 2, jF, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF + 1, jF, kF, ex)]
);
fyy[p] = Fdydy * (
-fh[idx_fh_F_ord2(iF, jF - 2, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF - 1, kF, ex)] -
F30 * fh[idx_fh_F_ord2(iF, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF, jF + 2, kF, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF + 1, kF, ex)]
);
fzz[p] = Fdzdz * (
-fh[idx_fh_F_ord2(iF, jF, kF - 2, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF, kF - 1, ex)] -
F30 * fh[idx_fh_F_ord2(iF, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF, jF, kF + 2, ex)] +
F16 * fh[idx_fh_F_ord2(iF, jF, kF + 1, ex)]
);
{
const double t_jm2 =
( fh[idx_fh_F_ord2(iF - 2, jF - 2, kF, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF - 2, kF, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF - 2, kF, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF - 2, kF, ex)] );
const double t_jm1 =
( fh[idx_fh_F_ord2(iF - 2, jF - 1, kF, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF - 1, kF, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF - 1, kF, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF - 1, kF, ex)] );
const double t_jp1 =
( fh[idx_fh_F_ord2(iF - 2, jF + 1, kF, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF + 1, kF, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF + 1, kF, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF + 1, kF, ex)] );
const double t_jp2 =
( fh[idx_fh_F_ord2(iF - 2, jF + 2, kF, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF + 2, kF, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF + 2, kF, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF + 2, kF, ex)] );
fxy[p] = Fdxdy * ( t_jm2 - F8 * t_jm1 + F8 * t_jp1 - t_jp2 );
}
{
const double t_km2 =
( fh[idx_fh_F_ord2(iF - 2, jF, kF - 2, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF, kF - 2, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF, kF - 2, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF, kF - 2, ex)] );
const double t_km1 =
( fh[idx_fh_F_ord2(iF - 2, jF, kF - 1, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF, kF - 1, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF, kF - 1, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF, kF - 1, ex)] );
const double t_kp1 =
( fh[idx_fh_F_ord2(iF - 2, jF, kF + 1, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF, kF + 1, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF, kF + 1, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF, kF + 1, ex)] );
const double t_kp2 =
( fh[idx_fh_F_ord2(iF - 2, jF, kF + 2, ex)]
-F8*fh[idx_fh_F_ord2(iF - 1, jF, kF + 2, ex)]
+F8*fh[idx_fh_F_ord2(iF + 1, jF, kF + 2, ex)]
- fh[idx_fh_F_ord2(iF + 2, jF, kF + 2, ex)] );
fxz[p] = Fdxdz * ( t_km2 - F8 * t_km1 + F8 * t_kp1 - t_kp2 );
}
{
const double t_km2 =
( fh[idx_fh_F_ord2(iF, jF - 2, kF - 2, ex)]
-F8*fh[idx_fh_F_ord2(iF, jF - 1, kF - 2, ex)]
+F8*fh[idx_fh_F_ord2(iF, jF + 1, kF - 2, ex)]
- fh[idx_fh_F_ord2(iF, jF + 2, kF - 2, ex)] );
const double t_km1 =
( fh[idx_fh_F_ord2(iF, jF - 2, kF - 1, ex)]
-F8*fh[idx_fh_F_ord2(iF, jF - 1, kF - 1, ex)]
+F8*fh[idx_fh_F_ord2(iF, jF + 1, kF - 1, ex)]
- fh[idx_fh_F_ord2(iF, jF + 2, kF - 1, ex)] );
const double t_kp1 =
( fh[idx_fh_F_ord2(iF, jF - 2, kF + 1, ex)]
-F8*fh[idx_fh_F_ord2(iF, jF - 1, kF + 1, ex)]
+F8*fh[idx_fh_F_ord2(iF, jF + 1, kF + 1, ex)]
- fh[idx_fh_F_ord2(iF, jF + 2, kF + 1, ex)] );
const double t_kp2 =
( fh[idx_fh_F_ord2(iF, jF - 2, kF + 2, ex)]
-F8*fh[idx_fh_F_ord2(iF, jF - 1, kF + 2, ex)]
+F8*fh[idx_fh_F_ord2(iF, jF + 1, kF + 2, ex)]
- fh[idx_fh_F_ord2(iF, jF + 2, kF + 2, ex)] );
fyz[p] = Fdydz * ( t_km2 - F8 * t_km1 + F8 * t_kp1 - t_kp2 );
}
}
}
}
}
// free(fh);
}

View File

@@ -80,46 +80,48 @@ void fderivs(const int ex[3],
fz[p] = ZEO;
}
/*
* 两段式:
* 1) 先在二阶可用区域计算二阶模板
* 2) 再在高阶可用区域覆盖为四阶模板
*
* 与原 if/elseif 逻辑等价,但减少逐点分支判断。
*/
const int i2_lo = (iminF > 0) ? iminF : 0;
const int j2_lo = (jminF > 0) ? jminF : 0;
const int k2_lo = (kminF > 0) ? kminF : 0;
const int i2_hi = ex1 - 2;
const int j2_hi = ex2 - 2;
const int k2_hi = ex3 - 2;
const int i4_lo = (iminF + 1 > 0) ? (iminF + 1) : 0;
const int j4_lo = (jminF + 1 > 0) ? (jminF + 1) : 0;
const int k4_lo = (kminF + 1 > 0) ? (kminF + 1) : 0;
const int i4_hi = ex1 - 3;
const int j4_hi = ex2 - 3;
const int k4_hi = ex3 - 3;
if (i2_lo <= i2_hi && j2_lo <= j2_hi && k2_lo <= k2_hi) {
for (int k0 = k2_lo; k0 <= k2_hi; ++k0) {
const int kF = k0 + 1;
for (int j0 = j2_lo; j0 <= j2_hi; ++j0) {
const int jF = j0 + 1;
for (int i0 = i2_lo; i0 <= i2_hi; ++i0) {
const int iF = i0 + 1;
const size_t p = idx_ex(i0, j0, k0, ex);
// Match Fortran (ghost_width=3, "for bam comparison") exactly:
// only compute when x/y/z all satisfy the same-order stencil at this point.
for (int k0 = 0; k0 <= ex3 - 2; ++k0) {
const int kF = k0 + 1;
for (int j0 = 0; j0 <= ex2 - 2; ++j0) {
const int jF = j0 + 1;
for (int i0 = 0; i0 <= ex1 - 2; ++i0) {
const int iF = i0 + 1;
const size_t p = idx_ex(i0, j0, k0, ex);
if ((iF + 2 <= imaxF && iF - 2 >= iminF) &&
(jF + 2 <= jmaxF && jF - 2 >= jminF) &&
(kF + 2 <= kmaxF && kF - 2 >= kminF)) {
fx[p] = d12dx * (
fh[idx_fh_F_ord2(iF - 2, jF, kF, ex)] -
EIT * fh[idx_fh_F_ord2(iF - 1, jF, kF, ex)] +
EIT * fh[idx_fh_F_ord2(iF + 1, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF + 2, jF, kF, ex)]
);
fy[p] = d12dy * (
fh[idx_fh_F_ord2(iF, jF - 2, kF, ex)] -
EIT * fh[idx_fh_F_ord2(iF, jF - 1, kF, ex)] +
EIT * fh[idx_fh_F_ord2(iF, jF + 1, kF, ex)] -
fh[idx_fh_F_ord2(iF, jF + 2, kF, ex)]
);
fz[p] = d12dz * (
fh[idx_fh_F_ord2(iF, jF, kF - 2, ex)] -
EIT * fh[idx_fh_F_ord2(iF, jF, kF - 1, ex)] +
EIT * fh[idx_fh_F_ord2(iF, jF, kF + 1, ex)] -
fh[idx_fh_F_ord2(iF, jF, kF + 2, ex)]
);
} else if ((iF + 1 <= imaxF && iF - 1 >= iminF) &&
(jF + 1 <= jmaxF && jF - 1 >= jminF) &&
(kF + 1 <= kmaxF && kF - 1 >= kminF)) {
fx[p] = d2dx * (
-fh[idx_fh_F_ord2(iF - 1, jF, kF, ex)] +
fh[idx_fh_F_ord2(iF + 1, jF, kF, ex)]
);
fy[p] = d2dy * (
-fh[idx_fh_F_ord2(iF, jF - 1, kF, ex)] +
fh[idx_fh_F_ord2(iF, jF + 1, kF, ex)]
);
fz[p] = d2dz * (
-fh[idx_fh_F_ord2(iF, jF, kF - 1, ex)] +
fh[idx_fh_F_ord2(iF, jF, kF + 1, ex)]
@@ -129,39 +131,5 @@ void fderivs(const int ex[3],
}
}
if (i4_lo <= i4_hi && j4_lo <= j4_hi && k4_lo <= k4_hi) {
for (int k0 = k4_lo; k0 <= k4_hi; ++k0) {
const int kF = k0 + 1;
for (int j0 = j4_lo; j0 <= j4_hi; ++j0) {
const int jF = j0 + 1;
for (int i0 = i4_lo; i0 <= i4_hi; ++i0) {
const int iF = i0 + 1;
const size_t p = idx_ex(i0, j0, k0, ex);
fx[p] = d12dx * (
fh[idx_fh_F_ord2(iF - 2, jF, kF, ex)] -
EIT * fh[idx_fh_F_ord2(iF - 1, jF, kF, ex)] +
EIT * fh[idx_fh_F_ord2(iF + 1, jF, kF, ex)] -
fh[idx_fh_F_ord2(iF + 2, jF, kF, ex)]
);
fy[p] = d12dy * (
fh[idx_fh_F_ord2(iF, jF - 2, kF, ex)] -
EIT * fh[idx_fh_F_ord2(iF, jF - 1, kF, ex)] +
EIT * fh[idx_fh_F_ord2(iF, jF + 1, kF, ex)] -
fh[idx_fh_F_ord2(iF, jF + 2, kF, ex)]
);
fz[p] = d12dz * (
fh[idx_fh_F_ord2(iF, jF, kF - 2, ex)] -
EIT * fh[idx_fh_F_ord2(iF, jF, kF - 1, ex)] +
EIT * fh[idx_fh_F_ord2(iF, jF, kF + 1, ex)] -
fh[idx_fh_F_ord2(iF, jF, kF + 2, ex)]
);
}
}
}
}
// free(fh);
}

View File

@@ -1511,88 +1511,13 @@ deallocate(f_flat)
f_out = f_out*dX*dY*dZ
return
end subroutine l2normhelper
!--------------------------------------------------------------------------------------
subroutine l2normhelper7(ex, X, Y, Z,xmin,ymin,zmin,xmax,ymax,zmax,&
f1,f2,f3,f4,f5,f6,f7,f_out,gw)
implicit none
!~~~~~~> Input parameters:
integer,intent(in ):: ex(1:3)
real*8, intent(in ):: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3)),xmin,ymin,zmin,xmax,ymax,zmax
integer,intent(in)::gw
real*8, dimension(ex(1),ex(2),ex(3)),intent(in) :: f1,f2,f3,f4,f5,f6,f7
real*8, intent(out) :: f_out(7)
!~~~~~~> Other variables:
real*8 :: dX, dY, dZ
integer::imin,jmin,kmin
integer::imax,jmax,kmax
integer::i,j,k
real*8 :: s1,s2,s3,s4,s5,s6,s7
dX = X(2) - X(1)
dY = Y(2) - Y(1)
dZ = Z(2) - Z(1)
! for ghost zone
imin = gw+1
jmin = gw+1
kmin = gw+1
imax = ex(1) - gw
jmax = ex(2) - gw
kmax = ex(3) - gw
!for patch boundary (i.e., not ghost boundary)
if(dabs(X(ex(1))-xmax) < dX) imax = ex(1)
if(dabs(Y(ex(2))-ymax) < dY) jmax = ex(2)
if(dabs(Z(ex(3))-zmax) < dZ) kmax = ex(3)
if(dabs(X(1)-xmin) < dX) imin = 1
if(dabs(Y(1)-ymin) < dY) jmin = 1
if(dabs(Z(1)-zmin) < dZ) kmin = 1
s1 = 0.d0
s2 = 0.d0
s3 = 0.d0
s4 = 0.d0
s5 = 0.d0
s6 = 0.d0
s7 = 0.d0
do k=kmin,kmax
do j=jmin,jmax
!DIR$ SIMD REDUCTION(+:s1,s2,s3,s4,s5,s6,s7)
do i=imin,imax
s1 = s1 + f1(i,j,k)*f1(i,j,k)
s2 = s2 + f2(i,j,k)*f2(i,j,k)
s3 = s3 + f3(i,j,k)*f3(i,j,k)
s4 = s4 + f4(i,j,k)*f4(i,j,k)
s5 = s5 + f5(i,j,k)*f5(i,j,k)
s6 = s6 + f6(i,j,k)*f6(i,j,k)
s7 = s7 + f7(i,j,k)*f7(i,j,k)
enddo
enddo
enddo
f_out(1) = s1*dX*dY*dZ
f_out(2) = s2*dX*dY*dZ
f_out(3) = s3*dX*dY*dZ
f_out(4) = s4*dX*dY*dZ
f_out(5) = s5*dX*dY*dZ
f_out(6) = s6*dX*dY*dZ
f_out(7) = s7*dX*dY*dZ
return
end subroutine l2normhelper7
!--------------------------------------------------------------------------------------
! calculate L2norm especially for shell Blocks
subroutine l2normhelper_sh(ex, X, Y, Z,xmin,ymin,zmin,xmax,ymax,zmax,&
f,f_out,gw,ogw,Symmetry)
return
end subroutine l2normhelper
!--------------------------------------------------------------------------------------
! calculate L2norm especially for shell Blocks
subroutine l2normhelper_sh(ex, X, Y, Z,xmin,ymin,zmin,xmax,ymax,zmax,&
f,f_out,gw,ogw,Symmetry)
implicit none
!~~~~~~> Input parameters:

View File

@@ -12,10 +12,9 @@
#define f_global_interpind global_interpind
#define f_global_interpind2d global_interpind2d
#define f_global_interpind1d global_interpind1d
#define f_l2normhelper l2normhelper
#define f_l2normhelper7 l2normhelper7
#define f_l2normhelper_sh l2normhelper_sh
#define f_l2normhelper_sh_rms l2normhelper_sh_rms
#define f_l2normhelper l2normhelper
#define f_l2normhelper_sh l2normhelper_sh
#define f_l2normhelper_sh_rms l2normhelper_sh_rms
#define f_average average
#define f_average3 average3
#define f_average2 average2
@@ -42,10 +41,9 @@
#define f_global_interpind GLOBAL_INTERPIND
#define f_global_interpind2d GLOBAL_INTERPIND2D
#define f_global_interpind1d GLOBAL_INTERPIND1D
#define f_l2normhelper L2NORMHELPER
#define f_l2normhelper7 L2NORMHELPER7
#define f_l2normhelper_sh L2NORMHELPER_SH
#define f_l2normhelper_sh_rms L2NORMHELPER_SH_RMS
#define f_l2normhelper L2NORMHELPER
#define f_l2normhelper_sh L2NORMHELPER_SH
#define f_l2normhelper_sh_rms L2NORMHELPER_SH_RMS
#define f_average AVERAGE
#define f_average3 AVERAGE3
#define f_average2 AVERAGE2
@@ -72,10 +70,9 @@
#define f_global_interpind global_interpind_
#define f_global_interpind2d global_interpind2d_
#define f_global_interpind1d global_interpind1d_
#define f_l2normhelper l2normhelper_
#define f_l2normhelper7 l2normhelper7_
#define f_l2normhelper_sh l2normhelper_sh_
#define f_l2normhelper_sh_rms l2normhelper_sh_rms_
#define f_l2normhelper l2normhelper_
#define f_l2normhelper_sh l2normhelper_sh_
#define f_l2normhelper_sh_rms l2normhelper_sh_rms_
#define f_average average_
#define f_average3 average3_
#define f_average2 average2_
@@ -159,29 +156,20 @@ extern "C"
int *, double *, int &, int &);
}
extern "C"
{
void f_l2normhelper(int *, double *, double *, double *,
double &, double &, double &,
double &, double &, double &,
double *, double &, int &);
}
extern "C"
{
void f_l2normhelper7(int *, double *, double *, double *,
double &, double &, double &,
double &, double &, double &,
double *, double *, double *, double *,
double *, double *, double *, double *, int &);
}
extern "C"
{
void f_l2normhelper_sh(int *, double *, double *, double *,
double &, double &, double &,
double &, double &, double &,
double *, double &, int &, int &, int &);
extern "C"
{
void f_l2normhelper(int *, double *, double *, double *,
double &, double &, double &,
double &, double &, double &,
double *, double &, int &);
}
extern "C"
{
void f_l2normhelper_sh(int *, double *, double *, double *,
double &, double &, double &,
double &, double &, double &,
double *, double &, int &, int &, int &);
}
extern "C"

View File

@@ -17,106 +17,68 @@ using namespace std;
#include <math.h>
#endif
/* Linear equation solution by Gauss-Jordan elimination.
a[0..n-1][0..n-1] is the input matrix. b[0..n-1] is input
containing the right-hand side vectors. On output a is
replaced by its matrix inverse, and b is replaced by the
corresponding set of solution vectors. */
int gaussj(double *a, double *b, int n)
{
double swap;
int *indxc, *indxr, *ipiv;
indxc = new int[n];
indxr = new int[n];
ipiv = new int[n];
int i, icol, irow, j, k, l, ll;
double big, dum, pivinv;
for (j = 0; j < n; j++)
ipiv[j] = 0;
for (i = 0; i < n; i++)
{
big = 0.0;
for (j = 0; j < n; j++)
if (ipiv[j] != 1)
for (k = 0; k < n; k++)
{
if (ipiv[k] == 0)
{
if (fabs(a[j * n + k]) >= big)
{
big = fabs(a[j * n + k]);
irow = j;
icol = k;
}
}
else if (ipiv[k] > 1)
{
cout << "gaussj: Singular Matrix-1" << endl;
return 1;
}
}
ipiv[icol] = ipiv[icol] + 1;
if (irow != icol)
{
for (l = 0; l < n; l++)
{
swap = a[irow * n + l];
a[irow * n + l] = a[icol * n + l];
a[icol * n + l] = swap;
}
swap = b[irow];
b[irow] = b[icol];
b[icol] = swap;
}
indxr[i] = irow;
indxc[i] = icol;
if (a[icol * n + icol] == 0.0)
{
cout << "gaussj: Singular Matrix-2" << endl;
return 1;
}
pivinv = 1.0 / a[icol * n + icol];
a[icol * n + icol] = 1.0;
for (l = 0; l < n; l++)
a[icol * n + l] *= pivinv;
b[icol] *= pivinv;
for (ll = 0; ll < n; ll++)
if (ll != icol)
{
dum = a[ll * n + icol];
a[ll * n + icol] = 0.0;
for (l = 0; l < n; l++)
a[ll * n + l] -= a[icol * n + l] * dum;
b[ll] -= b[icol] * dum;
}
}
for (l = n - 1; l >= 0; l--)
{
if (indxr[l] != indxc[l])
for (k = 0; k < n; k++)
{
swap = a[k * n + indxr[l]];
a[k * n + indxr[l]] = a[k * n + indxc[l]];
a[k * n + indxc[l]] = swap;
}
}
delete[] indxc;
delete[] indxr;
delete[] ipiv;
return 0;
}
// Intel oneMKL LAPACK interface
#include <mkl_lapacke.h>
/* Linear equation solution using Intel oneMKL LAPACK.
a[0..n-1][0..n-1] is the input matrix. b[0..n-1] is input
containing the right-hand side vectors. On output a is
replaced by its matrix inverse, and b is replaced by the
corresponding set of solution vectors.
Mathematical equivalence:
Solves: A * x = b => x = A^(-1) * b
Original Gauss-Jordan and LAPACK dgesv/dgetri produce identical results
within numerical precision. */
int gaussj(double *a, double *b, int n)
{
// Allocate pivot array and workspace
lapack_int *ipiv = new lapack_int[n];
lapack_int info;
// Make a copy of matrix a for solving (dgesv modifies it to LU form)
double *a_copy = new double[n * n];
for (int i = 0; i < n * n; i++) {
a_copy[i] = a[i];
}
// Step 1: Solve linear system A*x = b using LU decomposition
// LAPACKE_dgesv uses column-major by default, but we use row-major
info = LAPACKE_dgesv(LAPACK_ROW_MAJOR, n, 1, a_copy, n, ipiv, b, 1);
if (info != 0) {
cout << "gaussj: Singular Matrix (dgesv info=" << info << ")" << endl;
delete[] ipiv;
delete[] a_copy;
return 1;
}
// Step 2: Compute matrix inverse A^(-1) using LU factorization
// First do LU factorization of original matrix a
info = LAPACKE_dgetrf(LAPACK_ROW_MAJOR, n, n, a, n, ipiv);
if (info != 0) {
cout << "gaussj: Singular Matrix (dgetrf info=" << info << ")" << endl;
delete[] ipiv;
delete[] a_copy;
return 1;
}
// Then compute inverse from LU factorization
info = LAPACKE_dgetri(LAPACK_ROW_MAJOR, n, a, n, ipiv);
if (info != 0) {
cout << "gaussj: Singular Matrix (dgetri info=" << info << ")" << endl;
delete[] ipiv;
delete[] a_copy;
return 1;
}
delete[] ipiv;
delete[] a_copy;
return 0;
}
// for check usage
/*
int main()

View File

@@ -29,16 +29,6 @@
#define REGLEV 0
#define BSSN_FINE_TIMING 0
#define BSSN_FINE_TIMING_EVERY 1
#define BSSN_FINE_TIMING_TOPN 8
#define BSSN_KERNEL_FINE_TIMING 0
#define BSSN_ENABLE_STDIN_ABORT_POLL 0
//#define USE_GPU
//#define CHECKDETAIL
@@ -98,21 +88,6 @@
// 0: for every level;
// 1: for all
//
// define BSSN_FINE_TIMING
// enable fine-grained per-timestep timing monitor
//
// define BSSN_FINE_TIMING_EVERY
// report timing every N coarse timesteps
//
// define BSSN_FINE_TIMING_TOPN
// number of hottest timing buckets shown in stdout
//
// define BSSN_KERNEL_FINE_TIMING
// enable split timing inside compute_rhs_bssn
//
// define BSSN_ENABLE_STDIN_ABORT_POLL
// poll stdin and broadcast abort flag every coarse step
//
// define USE_GPU
// use gpu or not
//
@@ -167,3 +142,4 @@
#define TINY 1e-10
#endif /* MICRODEF_H */

View File

@@ -8,16 +8,27 @@ include makefile.inc
POLINT6_USE_BARY ?= 1
POLINT6_FLAG = -DPOLINT6_USE_BARYCENTRIC=$(POLINT6_USE_BARY)
## Legacy GNU/OpenMPI flags
CXXBASEFLAGS = -O3 -march=native -Wno-deprecated -Dfortran3 -Dnewc $(INTERP_LB_FLAGS)
F90BASEFLAGS = -O3 -march=native -cpp -fallow-argument-mismatch $(POLINT6_FLAG)
ifeq ($(PGO_MODE),instrument)
CXXAPPFLAGS = $(CXXBASEFLAGS)
f90appflags = $(F90BASEFLAGS)
## ABE build flags selected by PGO_MODE (set in makefile.inc, default: opt)
## make -> opt (PGO-guided, maximum performance)
## make PGO_MODE=instrument -> instrument (Phase 1: collect fresh profile data)
PROFDATA = /home/$(shell whoami)/AMSS-NCKU/pgo_profile/default.profdata
ifeq ($(PGO_MODE),instrument)
## Phase 1: instrumentation — omit -ipo/-fp-model fast=2 for faster build and numerical stability
CXXAPPFLAGS = -O3 -xHost -fma -fprofile-instr-generate -ipo \
-Dfortran3 -Dnewc -I${MKLROOT}/include $(INTERP_LB_FLAGS)
f90appflags = -O3 -xHost -fma -fprofile-instr-generate -ipo \
-align array64byte -fpp -I${MKLROOT}/include $(POLINT6_FLAG)
else
CXXAPPFLAGS = $(CXXBASEFLAGS)
f90appflags = $(F90BASEFLAGS)
## opt (default): maximum performance with PGO profile data -fprofile-instr-use=$(PROFDATA) \
## PGO has been turned off, now tested and found to be negative optimization
## INTERP_LB_FLAGS has been turned off too, now tested and found to be negative optimization
CXXAPPFLAGS = -O3 -xHost -fp-model fast=2 -fma -ipo \
-Dfortran3 -Dnewc -I${MKLROOT}/include $(INTERP_LB_FLAGS)
f90appflags = -O3 -xHost -fp-model fast=2 -fma -ipo \
-align array64byte -fpp -I${MKLROOT}/include $(POLINT6_FLAG)
endif
.SUFFIXES: .o .f90 .C .for .cu
@@ -56,14 +67,17 @@ lopsided_kodis_c.o: lopsided_kodis_c.C
#interp_lb_profile.o: interp_lb_profile.C interp_lb_profile.h
# ${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
## TwoPunctureABE uses fixed optimal flags with its own PGO profile, independent of CXXAPPFLAGS
TP_OPTFLAGS = $(CXXBASEFLAGS) $(TP_OPENMP_FLAGS)
TwoPunctures.o: TwoPunctures.C
${CXX} $(TP_OPTFLAGS) -c $< -o $@
TwoPunctureABE.o: TwoPunctureABE.C
${CXX} $(TP_OPTFLAGS) -c $< -o $@
## TwoPunctureABE uses fixed optimal flags with its own PGO profile, independent of CXXAPPFLAGS
TP_PROFDATA = /home/$(shell whoami)/AMSS-NCKU/pgo_profile/TwoPunctureABE.profdata
TP_OPTFLAGS = -O3 -xHost -fp-model fast=2 -fma -ipo \
-fprofile-instr-use=$(TP_PROFDATA) \
-Dfortran3 -Dnewc -I${MKLROOT}/include
TwoPunctures.o: TwoPunctures.C
${CXX} $(TP_OPTFLAGS) -qopenmp -c $< -o $@
TwoPunctureABE.o: TwoPunctureABE.C
${CXX} $(TP_OPTFLAGS) -qopenmp -c $< -o $@
# Input files
@@ -170,8 +184,8 @@ ABE: $(C++FILES) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS)
ABEGPU: $(C++FILES_GPU) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES)
$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES_GPU) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES) $(LDLIBS)
TwoPunctureABE: $(TwoPunctureFILES)
$(CLINKER) $(TP_OPTFLAGS) -o $@ $(TwoPunctureFILES) $(LDLIBS)
TwoPunctureABE: $(TwoPunctureFILES)
$(CLINKER) $(TP_OPTFLAGS) -qopenmp -o $@ $(TwoPunctureFILES) $(LDLIBS)
clean:
rm *.o ABE ABEGPU TwoPunctureABE make.log -f

60
AMSS_NCKU_source/makefile.inc Normal file → Executable file
View File

@@ -1,27 +1,33 @@
## Legacy GNU/OpenMPI toolchain configuration
## GCC version (commented out)
## filein = -I/usr/include -I/usr/lib/x86_64-linux-gnu/mpich/include -I/usr/lib/x86_64-linux-gnu/openmpi/lib/ -I/usr/lib/gcc/x86_64-linux-gnu/11/ -I/usr/include/c++/11/
## filein = -I/usr/include/ -I/usr/include/openmpi-x86_64/ -I/usr/lib/x86_64-linux-gnu/openmpi/include/ -I/usr/lib/x86_64-linux-gnu/openmpi/lib/ -I/usr/lib/gcc/x86_64-linux-gnu/11/ -I/usr/include/c++/11/
## LDLIBS = -L/usr/lib/x86_64-linux-gnu -L/usr/lib64 -L/usr/lib/gcc/x86_64-linux-gnu/11 -lgfortran -lmpi -lgfortran
## OpenMPI wrappers are installed but may not be on PATH.
OMPI_BIN ?= /usr/lib64/openmpi/bin
## Intel oneAPI version with oneMKL (Optimized for performance)
filein = -I/usr/include/ -I${MKLROOT}/include
## Wrapper compilers
f90 = $(OMPI_BIN)/mpifort
f77 = $(OMPI_BIN)/mpifort
CXX = $(OMPI_BIN)/mpicxx
CC = $(OMPI_BIN)/mpicc
CLINKER = $(OMPI_BIN)/mpicxx
## Using sequential MKL (OpenMP disabled for better single-threaded performance)
## Added -lifcore for Intel Fortran runtime and -limf for Intel math library
LDLIBS = -L${MKLROOT}/lib -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lifcore -limf -lpthread -lm -ldl -liomp5
## Extra include flags are not needed when using the OpenMPI wrappers.
filein =
## Memory allocator switch
## 1 (default) : link Intel oneTBB allocator (libtbbmalloc)
## 0 : use system default allocator (ptmalloc)
USE_TBBMALLOC ?= 1
TBBMALLOC_SO ?= /home/intel/oneapi/2025.3/lib/libtbbmalloc.so
ifneq ($(wildcard $(TBBMALLOC_SO)),)
TBBMALLOC_LIBS = -Wl,--no-as-needed $(TBBMALLOC_SO) -Wl,--as-needed
else
TBBMALLOC_LIBS = -Wl,--no-as-needed -ltbbmalloc -Wl,--as-needed
endif
ifeq ($(USE_TBBMALLOC),1)
LDLIBS := $(TBBMALLOC_LIBS) $(LDLIBS)
endif
## BLAS/LAPACK backend:
## OpenBLAS on this system provides BLAS, CBLAS and LAPACK symbols.
BLAS_LAPACK_LIB ?= /lib64/libopenblaso.so.0
LDLIBS = $(BLAS_LAPACK_LIB) -lgfortran -lpthread -lm -ldl
## PGO build mode switch
## off : default legacy GNU build without PGO
## instrument : accepted for compatibility, currently same as off
PGO_MODE ?= off
## PGO build mode switch (ABE only; TwoPunctureABE always uses opt flags)
## opt : (default) maximum performance with PGO profile-guided optimization
## instrument : PGO Phase 1 instrumentation to collect fresh profile data
PGO_MODE ?= opt
## Interp_Points load balance profiling mode
## off : (default) no load balance instrumentation
@@ -40,16 +46,20 @@ endif
## Kernel implementation switch
## 1 (default) : use C++ rewrite of bssn_rhs and helper kernels (faster)
## 0 : fall back to original Fortran kernels
USE_CXX_KERNELS ?= 1
USE_CXX_KERNELS ?= 0
## RK4 kernel implementation switch
## 1 (default) : use C/C++ rewrite of rungekutta4_rout
## 1 (default) : use C/C++ rewrite of rungekutta4_rout (for optimization experiments)
## 0 : use original Fortran rungekutta4_rout.o
USE_CXX_RK4 ?= 1
USE_CXX_RK4 ?= 0
## OpenMP is only used for TwoPunctures on the legacy toolchain.
TP_OPENMP_FLAGS ?= -fopenmp
f90 = ifx
f77 = ifx
CXX = icpx
CC = icx
CLINKER = mpiicpx
Cu = nvcc
CUDA_LIB_PATH = -L/usr/lib/cuda/lib64 -I/usr/include -I/usr/lib/cuda/include
#CUDA_APP_FLAGS = -c -g -O3 --ptxas-options=-v -arch compute_13 -code compute_13,sm_13 -Dfortran3 -Dnewc
CUDA_APP_FLAGS = -c -g -O3 --ptxas-options=-v -Dfortran3 -Dnewc

File diff suppressed because it is too large Load Diff

View File

@@ -27,24 +27,19 @@ using namespace std;
class surface_integral
{
private:
int Symmetry, factor;
int N_theta, N_phi; // Number of points in Theta & Phi directions
double dphi, dcostheta;
double *arcostheta, *wtcostheta;
int n_tot; // size of arrays
double *nx_g, *ny_g, *nz_g; // global list of unit normals
int myrank, cpusize;
int wave_cache_spinw, wave_cache_maxl, wave_cache_modes;
double *wave_theta_pos, *wave_theta_neg;
double *wave_phi_cos, *wave_phi_sin;
void clear_wave_cache();
void build_wave_cache(int spinw, int maxl);
public:
surface_integral(int iSymmetry);
~surface_integral();
private:
int Symmetry, factor;
int N_theta, N_phi; // Number of points in Theta & Phi directions
double dphi, dcostheta;
double *arcostheta, *wtcostheta;
int n_tot; // size of arrays
double *nx_g, *ny_g, *nz_g; // global list of unit normals
int myrank, cpusize;
public:
surface_integral(int iSymmetry);
~surface_integral();
void surf_Wave(double rex, int lev, cgh *GH, var *Rpsi4, var *Ipsi4,
int spinw, int maxl, int NN, double *RP, double *IP,
@@ -82,37 +77,21 @@ public:
double &, double &, double &, double &, double &, double &, double &,
double &, double &, double &, double &, double &, double &,
double &, double &)); // NN is the length of RP and IP
void surf_MassPAng(double rex, int lev, cgh *GH, var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs,
double *Rout, monitor *Monitor, bool refresh_mass_fields = true);
void surf_MassPAng(double rex, int lev, ShellPatch *GH, var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs,
double *Rout, monitor *Monitor, bool refresh_mass_fields = true);
void surf_WaveMassPAng(double rex, int lev, cgh *GH,
var *Rpsi4, var *Ipsi4, int spinw, int maxl, int NN, double *RP, double *IP,
var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs,
double *Rout, monitor *Monitor, bool refresh_mass_fields = true);
void surf_WaveMassPAng(double rex, int lev, ShellPatch *GH,
var *Rpsi4, var *Ipsi4, int spinw, int maxl, int NN, double *RP, double *IP,
var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs,
double *Rout, monitor *Monitor, bool refresh_mass_fields = true);
void surf_Wave(double rex, cgh *GH, ShellPatch *SH,
var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
void surf_MassPAng(double rex, int lev, cgh *GH, var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs,
double *Rout, monitor *Monitor);
void surf_MassPAng(double rex, int lev, ShellPatch *GH, var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs,
double *Rout, monitor *Monitor);
void surf_Wave(double rex, cgh *GH, ShellPatch *SH,
var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *chix, var *chiy, var *chiz,
var *trKx, var *trKy, var *trKz,
@@ -131,12 +110,12 @@ public:
bool SR_Interp_Points(MyList<var> *VarList, cgh *GH, ShellPatch *SH,
int NN, double **XX, double *Shellf);
void surf_MassPAng(double rex, int lev, cgh *GH, var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs, // temparay memory for mass^i
double *Rout, monitor *Monitor, MPI_Comm Comm_here, bool refresh_mass_fields = true);
void surf_MassPAng(double rex, int lev, cgh *GH, var *chi, var *trK,
var *gxx, var *gxy, var *gxz, var *gyy, var *gyz, var *gzz,
var *Axx, var *Axy, var *Axz, var *Ayy, var *Ayz, var *Azz,
var *Gmx, var *Gmy, var *Gmz,
var *Sfx_rhs, var *Sfy_rhs, var *Sfz_rhs, // temparay memory for mass^i
double *Rout, monitor *Monitor, MPI_Comm Comm_here);
void surf_Wave(double rex, int lev, cgh *GH, var *Rpsi4, var *Ipsi4,
int spinw, int maxl, int NN, double *RP, double *IP,
monitor *Monitor, MPI_Comm Comm_here);

View File

@@ -93,13 +93,11 @@ Here, we take the Ubuntu 22.04 system as an example
#### How to use AMSS-NCKU
0. Setting the parameters for compilation
Modify the makefile.inc file in the AMSS_NCKU_source directory and change the settings according to your computer.
The default configuration in this branch uses GNU compilers through the OpenMPI wrappers under `/usr/lib64/openmpi/bin`.
If your OpenMPI installation is in another location, update `OMPI_BIN` in `AMSS_NCKU_source/makefile.inc` or export `AMSS_OPENMPI_BIN` before running the Python launcher.
0. Setting the parameters for compilation
Modify the makefile.inc file in the AMSS_NCKU_source directory and change the settings according to your computer.
The settings for the Ubuntu 22.04 system do not need to be modified.
1. Enter the AMSS-NCKU Python code folder and modify the input.

View File

@@ -144,62 +144,6 @@ def generate_macrodef_h():
print( "#define REGLEV 0", file=file1 )
print( file=file1 )
# Define fine-grained timing/debug macros.
# All of them default to OFF so production builds do not pay profiling overhead.
fine_timing = getattr(input_data, "Fine_Timing",
getattr(input_data, "Finegrained_Timing", "no"))
kernel_fine_timing = getattr(input_data, "Kernel_Fine_Timing",
getattr(input_data, "BSSN_Kernel_Fine_Timing", "no"))
stdin_abort_poll = getattr(input_data, "Enable_Stdin_Abort_Poll",
getattr(input_data, "Stdin_Abort_Poll", "no"))
timing_report_every = max(1, int(getattr(
input_data, "Timing_Every_Steps",
getattr(input_data, "Timing_Report_Every", 1))))
timing_top_hotspots = max(1, int(getattr(
input_data, "Timing_Top_Hotspots", 8)))
if ( fine_timing == "yes" ):
print( "#define BSSN_FINE_TIMING 1", file=file1 )
print( file=file1 )
elif ( fine_timing == "no" ):
print( "#define BSSN_FINE_TIMING 0", file=file1 )
print( file=file1 )
else:
print( "Fine_Timing setting error!!!" )
print()
print( "# Fine_Timing setting error!!!", file=file1 )
print( file=file1 )
print( f"#define BSSN_FINE_TIMING_EVERY {timing_report_every}", file=file1 )
print( file=file1 )
print( f"#define BSSN_FINE_TIMING_TOPN {timing_top_hotspots}", file=file1 )
print( file=file1 )
if ( kernel_fine_timing == "yes" ):
print( "#define BSSN_KERNEL_FINE_TIMING 1", file=file1 )
print( file=file1 )
elif ( kernel_fine_timing == "no" ):
print( "#define BSSN_KERNEL_FINE_TIMING 0", file=file1 )
print( file=file1 )
else:
print( "Kernel_Fine_Timing setting error!!!" )
print()
print( "# Kernel_Fine_Timing setting error!!!", file=file1 )
print( file=file1 )
if ( stdin_abort_poll == "yes" ):
print( "#define BSSN_ENABLE_STDIN_ABORT_POLL 1", file=file1 )
print( file=file1 )
elif ( stdin_abort_poll == "no" ):
print( "#define BSSN_ENABLE_STDIN_ABORT_POLL 0", file=file1 )
print( file=file1 )
else:
print( "Enable_Stdin_Abort_Poll setting error!!!" )
print()
print( "# Enable_Stdin_Abort_Poll setting error!!!", file=file1 )
print( file=file1 )
# Define macro USE_GPU
# use GPU or not
@@ -280,21 +224,6 @@ def generate_macrodef_h():
print( "// 0: for every level;", file=file1 )
print( "// 1: for all", file=file1 )
print( "//", file=file1 )
print( "// define BSSN_FINE_TIMING", file=file1 )
print( "// enable fine-grained per-timestep timing monitor", file=file1 )
print( "//", file=file1 )
print( "// define BSSN_FINE_TIMING_EVERY", file=file1 )
print( "// report timing every N coarse timesteps", file=file1 )
print( "//", file=file1 )
print( "// define BSSN_FINE_TIMING_TOPN", file=file1 )
print( "// number of hottest timing buckets shown in stdout", file=file1 )
print( "//", file=file1 )
print( "// define BSSN_KERNEL_FINE_TIMING", file=file1 )
print( "// enable split timing inside compute_rhs_bssn", file=file1 )
print( "//", file=file1 )
print( "// define BSSN_ENABLE_STDIN_ABORT_POLL", file=file1 )
print( "// poll stdin and broadcast abort flag every coarse step", file=file1 )
print( "//", file=file1 )
print( "// define USE_GPU", file=file1 )
print( "// use gpu or not", file=file1 )
print( "//", file=file1 )

View File

@@ -9,7 +9,6 @@
import AMSS_NCKU_Input as input_data
import os
import subprocess
import time
@@ -53,8 +52,6 @@ NUMACTL_CPU_BIND = get_last_n_cores_per_socket(n=32)
## Build parallelism: match the number of bound cores
BUILD_JOBS = 64
OPENMPI_BIN = os.environ.get("AMSS_OPENMPI_BIN", "/usr/lib64/openmpi/bin")
MPI_RUNNER = os.path.join(OPENMPI_BIN, "mpirun")
##################################################################
@@ -150,11 +147,11 @@ def run_ABE():
## Define the command to run; cast other values to strings as needed
if (input_data.GPU_Calculation == "no"):
mpi_command = NUMACTL_CPU_BIND + " " + MPI_RUNNER + " -np " + str(input_data.MPI_processes) + " ./ABE"
mpi_command = NUMACTL_CPU_BIND + " mpirun -np " + str(input_data.MPI_processes) + " ./ABE"
#mpi_command = " mpirun -np " + str(input_data.MPI_processes) + " ./ABE"
mpi_command_outfile = "ABE_out.log"
elif (input_data.GPU_Calculation == "yes"):
mpi_command = NUMACTL_CPU_BIND + " " + MPI_RUNNER + " -np " + str(input_data.MPI_processes) + " ./ABEGPU"
mpi_command = NUMACTL_CPU_BIND + " mpirun -np " + str(input_data.MPI_processes) + " ./ABEGPU"
mpi_command_outfile = "ABEGPU_out.log"
## Execute the MPI command and stream output