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pm_nonperiodic.c
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pm_nonperiodic.c
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#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <mpi.h>
/*! \file pm_nonperiodic.c
* \brief code for non-periodic FFT to compute long-range PM force
*/
#ifdef PMGRID
#if !defined (PERIODIC) || defined (PLACEHIGHRESREGION)
#ifdef NOTYPEPREFIX_FFTW
#include <rfftw_mpi.h>
#else
#ifdef DOUBLEPRECISION_FFTW
#include <drfftw_mpi.h> /* double precision FFTW */
#else
#include <srfftw_mpi.h>
#endif
#endif
#include "allvars.h"
#include "proto.h"
#define GRID (2*PMGRID)
#define GRID2 (2*(GRID/2 + 1))
static rfftwnd_mpi_plan fft_forward_plan, fft_inverse_plan;
static int slab_to_task[GRID];
static int *slabs_per_task;
static int *first_slab_of_task;
static int *meshmin_list, *meshmax_list;
static int slabstart_x, nslab_x, slabstart_y, nslab_y;
static int fftsize, maxfftsize;
static fftw_real *kernel[2][N_GRAVS][N_GRAVS], *rhogrid, *forcegrid, *workspace;
static fftw_complex *fft_of_kernel[2][N_GRAVS][N_GRAVS], *fft_of_rhogrid;
/*! This function determines the particle extension of all particles, and for
* those types selected with PLACEHIGHRESREGION if this is used, and then
* determines the boundaries of the non-periodic FFT-mesh that can be placed
* on this region. Note that a sufficient buffer region at the rim of the
* occupied part of the mesh needs to be reserved in order to allow a correct
* finite differencing using a 4-point formula. In addition, to allow
* non-periodic boundaries, the actual FFT mesh used is twice as large in
* each dimension compared with PMGRID.
*/
void pm_init_regionsize(void)
{
double meshinner[2], xmin[2][3], xmax[2][3];
int i, j, t;
/* find enclosing rectangle */
for(j = 0; j < 3; j++)
{
xmin[0][j] = xmin[1][j] = 1.0e36;
xmax[0][j] = xmax[1][j] = -1.0e36;
}
for(i = 0; i < NumPart; i++)
for(j = 0; j < 3; j++)
{
t = 0;
#ifdef PLACEHIGHRESREGION
if(((1 << P[i].Type) & (PLACEHIGHRESREGION)))
t = 1;
#endif
if(P[i].Pos[j] > xmax[t][j])
xmax[t][j] = P[i].Pos[j];
if(P[i].Pos[j] < xmin[t][j])
xmin[t][j] = P[i].Pos[j];
}
MPI_Allreduce(xmin, All.Xmintot, 6, MPI_DOUBLE, MPI_MIN, MPI_COMM_WORLD);
MPI_Allreduce(xmax, All.Xmaxtot, 6, MPI_DOUBLE, MPI_MAX, MPI_COMM_WORLD);
for(j = 0; j < 2; j++)
{
All.TotalMeshSize[j] = All.Xmaxtot[j][0] - All.Xmintot[j][0];
All.TotalMeshSize[j] = dmax(All.TotalMeshSize[j], All.Xmaxtot[j][1] - All.Xmintot[j][1]);
All.TotalMeshSize[j] = dmax(All.TotalMeshSize[j], All.Xmaxtot[j][2] - All.Xmintot[j][2]);
#ifdef ENLARGEREGION
All.TotalMeshSize[j] *= ENLARGEREGION;
#endif
/* symmetrize the box onto the center */
for(i = 0; i < 3; i++)
{
All.Xmintot[j][i] = (All.Xmintot[j][i] + All.Xmaxtot[j][i]) / 2 - All.TotalMeshSize[j] / 2;
All.Xmaxtot[j][i] = All.Xmintot[j][i] + All.TotalMeshSize[j];
}
}
/* this will produce enough room for zero-padding and buffer region to
allow finite differencing of the potential */
for(j = 0; j < 2; j++)
{
meshinner[j] = All.TotalMeshSize[j];
All.TotalMeshSize[j] *= 2.001 * (GRID) / ((double) (GRID - 2 - 8));
}
/* move lower left corner by two cells to allow finite differencing of the potential by a 4-point function */
for(j = 0; j < 2; j++)
for(i = 0; i < 3; i++)
{
All.Corner[j][i] = All.Xmintot[j][i] - 2.0005 * All.TotalMeshSize[j] / GRID;
All.UpperCorner[j][i] = All.Corner[j][i] + (GRID / 2 - 1) * (All.TotalMeshSize[j] / GRID);
}
#ifndef PERIODIC
All.Asmth[0] = ASMTH * All.TotalMeshSize[0] / GRID;
All.Rcut[0] = RCUT * All.Asmth[0];
#endif
#ifdef PLACEHIGHRESREGION
All.Asmth[1] = ASMTH * All.TotalMeshSize[1] / GRID;
All.Rcut[1] = RCUT * All.Asmth[1];
#endif
#ifdef PLACEHIGHRESREGION
if(2 * All.TotalMeshSize[1] / GRID < All.Rcut[0])
{
All.TotalMeshSize[1] = 2 * (meshinner[1] + 2 * All.Rcut[0]) * (GRID) / ((double) (GRID - 2));
for(i = 0; i < 3; i++)
{
All.Corner[1][i] = All.Xmintot[1][i] - 1.0001 * All.Rcut[0];
All.UpperCorner[1][i] = All.Corner[1][i] + (GRID / 2 - 1) * (All.TotalMeshSize[1] / GRID);
}
if(2 * All.TotalMeshSize[1] / GRID > All.Rcut[0])
{
All.TotalMeshSize[1] = 2 * (meshinner[1] + 2 * All.Rcut[0]) * (GRID) / ((double) (GRID - 10));
for(i = 0; i < 3; i++)
{
All.Corner[1][i] = All.Xmintot[1][i] - 1.0001 * (All.Rcut[0] + 2 * All.TotalMeshSize[1] / GRID);
All.UpperCorner[1][i] = All.Corner[1][i] + (GRID / 2 - 1) * (All.TotalMeshSize[1] / GRID);
}
}
All.Asmth[1] = ASMTH * All.TotalMeshSize[1] / GRID;
All.Rcut[1] = RCUT * All.Asmth[1];
}
#endif
if(ThisTask == 0)
{
#ifndef PERIODIC
printf("\nAllowed region for isolated PM mesh (coarse):\n");
printf("(%g|%g|%g) -> (%g|%g|%g) ext=%g totmeshsize=%g meshsize=%g\n\n",
All.Xmintot[0][0], All.Xmintot[0][1], All.Xmintot[0][2],
All.Xmaxtot[0][0], All.Xmaxtot[0][1], All.Xmaxtot[0][2], meshinner[0], All.TotalMeshSize[0],
All.TotalMeshSize[0] / GRID);
#endif
#ifdef PLACEHIGHRESREGION
printf("\nAllowed region for isolated PM mesh (high-res):\n");
printf("(%g|%g|%g) -> (%g|%g|%g) ext=%g totmeshsize=%g meshsize=%g\n\n",
All.Xmintot[1][0], All.Xmintot[1][1], All.Xmintot[1][2],
All.Xmaxtot[1][0], All.Xmaxtot[1][1], All.Xmaxtot[1][2],
meshinner[1], All.TotalMeshSize[1], All.TotalMeshSize[1] / GRID);
#endif
}
}
/*! Initialization of the non-periodic PM routines. The plan-files for FFTW
* are created. Finally, the routine to set-up the non-periodic Greens
* function is called.
*/
void pm_init_nonperiodic(void)
{
int i, slab_to_task_local[GRID];
double bytes_tot = 0;
size_t bytes;
int n, m;
/* Set up the FFTW plan files. */
fft_forward_plan = rfftw3d_mpi_create_plan(MPI_COMM_WORLD, GRID, GRID, GRID,
FFTW_REAL_TO_COMPLEX, FFTW_ESTIMATE | FFTW_IN_PLACE);
fft_inverse_plan = rfftw3d_mpi_create_plan(MPI_COMM_WORLD, GRID, GRID, GRID,
FFTW_COMPLEX_TO_REAL, FFTW_ESTIMATE | FFTW_IN_PLACE);
/* Workspace out the ranges on each processor. */
rfftwnd_mpi_local_sizes(fft_forward_plan, &nslab_x, &slabstart_x, &nslab_y, &slabstart_y, &fftsize);
for(i = 0; i < GRID; i++)
slab_to_task_local[i] = 0;
for(i = 0; i < nslab_x; i++)
slab_to_task_local[slabstart_x + i] = ThisTask;
MPI_Allreduce(slab_to_task_local, slab_to_task, GRID, MPI_INT, MPI_SUM, MPI_COMM_WORLD);
slabs_per_task = malloc(NTask * sizeof(int));
MPI_Allgather(&nslab_x, 1, MPI_INT, slabs_per_task, 1, MPI_INT, MPI_COMM_WORLD);
#ifndef PERIODIC
if(ThisTask == 0)
{
for(i = 0; i < NTask; i++)
printf("Task=%d FFT-Slabs=%d\n", i, slabs_per_task[i]);
}
#endif
first_slab_of_task = malloc(NTask * sizeof(int));
MPI_Allgather(&slabstart_x, 1, MPI_INT, first_slab_of_task, 1, MPI_INT, MPI_COMM_WORLD);
meshmin_list = malloc(3 * NTask * sizeof(int));
meshmax_list = malloc(3 * NTask * sizeof(int));
MPI_Allreduce(&fftsize, &maxfftsize, 1, MPI_INT, MPI_MAX, MPI_COMM_WORLD);
/* now allocate memory to hold the FFT fields */
#if !defined(PERIODIC)
for(n = 0; n < N_GRAVS; ++n) {
for(m = 0; m < N_GRAVS; ++m) {
if(!(kernel[0][n][m] = (fftw_real *) malloc(bytes = fftsize * sizeof(fftw_real))))
{
printf("failed to allocate memory for `FFT-kernel[0]' (%g MB).\n", bytes / (1024.0 * 1024.0));
endrun(1);
}
bytes_tot += bytes;
fft_of_kernel[0][n][m] = (fftw_complex *) kernel[0][n][m];
}
}
#endif
#if defined(PLACEHIGHRESREGION)
for(n = 0; n < N_GRAVS; ++n) {
for(m = 0; m < N_GRAVS; ++m) {
if(!(kernel[1][n][m] = (fftw_real *) malloc(bytes = fftsize * sizeof(fftw_real))))
{
printf("failed to allocate memory for `FFT-kernel[1]' (%g MB).\n", bytes / (1024.0 * 1024.0));
endrun(1);
}
bytes_tot += bytes;
fft_of_kernel[1][n][m] = (fftw_complex *) kernel[1][n][m];
}
}
#endif
if(ThisTask == 0)
printf("\nAllocated %g MByte for FFT kernel(s).\n\n", bytes_tot / (1024.0 * 1024.0));
}
/*! This function allocates the workspace needed for the non-periodic FFT
* algorithm. Three fields are used, one for the density/potential fields,
* one to hold the force field obtained by finite differencing, and finally
* an additional workspace which is used both in the parallel FFT itself, and
* as a buffer for the communication algorithm.
*/
void pm_init_nonperiodic_allocate(int dimprod)
{
static int first_alloc = 1;
int dimprodmax;
double bytes_tot = 0;
size_t bytes;
MPI_Allreduce(&dimprod, &dimprodmax, 1, MPI_INT, MPI_MAX, MPI_COMM_WORLD);
if(!(rhogrid = (fftw_real *) malloc(bytes = fftsize * sizeof(fftw_real))))
{
printf("failed to allocate memory for `FFT-rhogrid' (%g MB).\n", bytes / (1024.0 * 1024.0));
endrun(1);
}
bytes_tot += bytes;
fft_of_rhogrid = (fftw_complex *) rhogrid;
if(!(forcegrid = (fftw_real *) malloc(bytes = imax(fftsize, dimprodmax) * sizeof(fftw_real))))
{
printf("failed to allocate memory for `FFT-forcegrid' (%g MB).\n", bytes / (1024.0 * 1024.0));
endrun(1);
}
bytes_tot += bytes;
if(!(workspace = (fftw_real *) malloc(bytes = imax(maxfftsize, dimprodmax) * sizeof(fftw_real))))
{
printf("failed to allocate memory for `FFT-workspace' (%g MB).\n", bytes / (1024.0 * 1024.0));
endrun(1);
}
bytes_tot += bytes;
if(first_alloc == 1)
{
first_alloc = 0;
if(ThisTask == 0)
printf("\nUsing %g MByte for non-periodic FFT computation.\n\n", bytes_tot / (1024.0 * 1024.0));
}
}
/*! This function frees the memory allocated for the non-periodic FFT
* computation. (With the exception of the Greens function(s), which are kept
* statically in memory for the next force computation.)
*/
void pm_init_nonperiodic_free(void)
{
/* deallocate memory */
free(workspace);
free(forcegrid);
free(rhogrid);
}
/*! This function sets-up the Greens function for the non-periodic potential
* in real space, and then converts it to Fourier space by means of a FFT.
*/
// KC 10/17/14
// This function will need initialize N_GRAVS^2 more kernels
// both for the coarse mesh and the fine mesh.
// Now we gotta do N_GRAVS^2 of them
// which is kind of wasteful because we should only need to do N_GRAVS(N_GRAVS + 1)/2 of
// them by symmetry. However, this step is only carried out once on any processor, and so
// for clarity of code, we do it the dumb way.
//
void pm_setup_nonperiodic_kernel(void)
{
int i, j, k;
double x, y, z, r, u, fac;
double kx, ky, kz, k2, fx, fy, fz, ff;
int ip;
int n, m;
/* now set up kernel and its Fourier transform */
pm_init_nonperiodic_allocate(0);
#if !defined(PERIODIC)
for(n = 0; n < N_GRAVS; ++n)
for(m = 0; m < N_GRAVS; ++m)
for(i = 0; i < fftsize; i++) /* clear local density field */
kernel[0][n][m][i] = 0;
for(n = 0; n < N_GRAVS; ++n)
for(m = 0; m < N_GRAVS; ++m) {
for(i = slabstart_x; i < (slabstart_x + nslab_x); i++)
for(j = 0; j < GRID; j++)
for(k = 0; k < GRID; k++)
{
x = ((double) i) / GRID;
y = ((double) j) / GRID;
z = ((double) k) / GRID;
if(x >= 0.5)
x -= 1.0;
if(y >= 0.5)
y -= 1.0;
if(z >= 0.5)
z -= 1.0;
r = sqrt(x * x + y * y + z * z);
u = 0.5 * r / (((double) ASMTH) / GRID);
fac = 1 - erfc(u);
if(r > 0) {
// Notice that this potential is that due to a point source at the origin.
// Thus, it becomes clear that SEP violations become unworkable, and
// that if the mass parameter sets the scale of the interaction, then this
// scale must be fixed throughout the entire simulation.
// KC 11/23/14
// This is the free-space position space Green's Function for a source at the origin:
// the solution of Poisson's equation for a single source
kernel[0][n][m][GRID * GRID2 * (i -slabstart_x) + GRID2 * j + k] = -fac * (*PotentialFxns[n][m])(1, 1, 0.0, r, 1);
}
else {
// KC 1/25/15
kernel[0][n][m][GRID * GRID2 * (i - slabstart_x) + GRID2 * j + k] = PotentialZero[n][m];
}
}
/* do the forward transform of the kernel */
rfftwnd_mpi(fft_forward_plan, 1, kernel[0][n][m], workspace, FFTW_TRANSPOSED_ORDER);
}
#endif
#if defined(PLACEHIGHRESREGION)
for(n = 0; n < N_GRAVS; ++n)
for(m = 0; m < N_GRAVS; ++m) {
for(i = 0; i < fftsize; i++) /* clear local density field */
kernel[1][n][m][i] = 0;
for(i = slabstart_x; i < (slabstart_x + nslab_x); i++)
for(j = 0; j < GRID; j++)
for(k = 0; k < GRID; k++)
{
x = ((double) i) / GRID;
y = ((double) j) / GRID;
z = ((double) k) / GRID;
if(x >= 0.5)
x -= 1.0;
if(y >= 0.5)
y -= 1.0;
if(z >= 0.5)
z -= 1.0;
r = sqrt(x * x + y * y + z * z);
u = 0.5 * r / (((double) ASMTH) / GRID);
fac = erfc(u * All.Asmth[1] / All.Asmth[0]) - erfc(u);
if(r > 0) {
kernel[1][n][m][GRID * GRID2 * (i - slabstart_x) + GRID2 * j + k] =
-fac * (*PotentialFxns[n][m])(1, 1, 0.0, r, 1);
}
else {
fac = 1 - All.Asmth[1] / All.Asmth[0];
kernel[1][n][m][GRID * GRID2 * (i - slabstart_x) + GRID2 * j + k] =
-fac * PotentialZero[n][m]; /// (sqrt(M_PI) * (((double) ASMTH) / GRID));
}
}
/* do the forward transform of the kernel */
rfftwnd_mpi(fft_forward_plan, 1, kernel[1][n][m], workspace, FFTW_TRANSPOSED_ORDER);
}
#endif
// KC 11/23/14
// This function must not even be called if we are not doing non-periodic styles
/* deconvolve the Greens function twice with the CIC kernel */
for(y = slabstart_y; y < slabstart_y + nslab_y; y++)
for(x = 0; x < GRID; x++)
for(z = 0; z < GRID / 2 + 1; z++)
{
if(x > GRID / 2)
kx = x - GRID;
else
kx = x;
if(y > GRID / 2)
ky = y - GRID;
else
ky = y;
if(z > GRID / 2)
kz = z - GRID;
else
kz = z;
k2 = kx * kx + ky * ky + kz * kz;
if(k2 > 0)
{
fx = fy = fz = 1;
if(kx != 0)
{
fx = (M_PI * kx) / GRID;
fx = sin(fx) / fx;
}
if(ky != 0)
{
fy = (M_PI * ky) / GRID;
fy = sin(fy) / fy;
}
if(kz != 0)
{
fz = (M_PI * kz) / GRID;
fz = sin(fz) / fz;
}
ff = 1 / (fx * fy * fz);
ff = ff * ff * ff * ff;
ip = GRID * (GRID / 2 + 1) * (y - slabstart_y) + (GRID / 2 + 1) * x + z;
for(n = 0; n < N_GRAVS; ++n)
for(m = 0; m < N_GRAVS; ++m) {
#if !defined(PERIODIC)
fft_of_kernel[0][n][m][ip].re *= ff;
fft_of_kernel[0][n][m][ip].im *= ff;
#endif
#if defined(PLACEHIGHRESREGION)
fft_of_kernel[1][n][m][ip].re *= ff;
fft_of_kernel[1][n][m][ip].im *= ff;
#endif
}
}
}
/* end deconvolution */
pm_init_nonperiodic_free();
}
/*! Calculates the long-range non-periodic forces using the PM method. The
* potential is Gaussian filtered with Asmth, given in mesh-cell units. The
* potential is finite differenced using a 4-point finite differencing
* formula to obtain the force fields, which are then interpolated to the
* particle positions. We carry out a CIC charge assignment, and compute the
* potenial by Fourier transform methods. The CIC kernel is deconvolved.
*/
int pmforce_nonperiodic(int grnr)
{
double dx, dy, dz;
double fac, to_slab_fac;
double re, im, acc_dim;
int i, j, slab, level, sendTask, recvTask, flag, flagsum;
int x, y, z, xl, yl, zl, xr, yr, zr, xll, yll, zll, xrr, yrr, zrr, ip, dim;
int slab_x, slab_y, slab_z;
int slab_xx, slab_yy, slab_zz;
int meshmin[3], meshmax[3], sendmin, sendmax, recvmin, recvmax;
int dimx, dimy, dimz, recv_dimx, recv_dimy, recv_dimz;
MPI_Status status;
// ngravs extension
int nA, nB;
int offsets[N_GRAVS + 1];
int k;
if(ThisTask == 0)
printf("Starting non-periodic PM calculation (grid=%d).\n", grnr);
fac = All.G / pow(All.TotalMeshSize[grnr], 4) * pow(All.TotalMeshSize[grnr] / GRID, 3); /* to get potential */
fac *= 1 / (2 * All.TotalMeshSize[grnr] / GRID); /* for finite differencing */
to_slab_fac = GRID / All.TotalMeshSize[grnr];
/* first, establish the extension of the local patch in GRID (for binning) */
for(j = 0; j < 3; j++)
{
meshmin[j] = GRID;
meshmax[j] = 0;
}
// KC 11/7/14
// Compute the gravitational offsets here
offsets[0] = 0;
for(k = 1; k < N_GRAVS; ++k)
offsets[k] = offsets[k-1] + NgravLocal[k-1];
offsets[N_GRAVS] = NumPart;
for(i = 0, flag = 0; i < NumPart; i++)
{
#ifdef PLACEHIGHRESREGION
if(grnr == 0 || (grnr == 1 && ((1 << P[i].Type) & (PLACEHIGHRESREGION))))
#endif
{
for(j = 0; j < 3; j++)
{
if(P[i].Pos[j] < All.Xmintot[grnr][j] || P[i].Pos[j] > All.Xmaxtot[grnr][j])
{
if(flag == 0)
{
printf
("Particle Id=%d on task=%d with coordinates (%g|%g|%g) lies outside PM mesh.\nStopping\n",
(int)P[i].ID, ThisTask, P[i].Pos[0], P[i].Pos[1], P[i].Pos[2]);
fflush(stdout);
}
flag++;
break;
}
}
}
if(flag > 0)
continue;
// KC 11/7/14
// grnr - GridNumberReference ?
if(P[i].Pos[0] >= All.Corner[grnr][0] && P[i].Pos[0] < All.UpperCorner[grnr][0])
if(P[i].Pos[1] >= All.Corner[grnr][1] && P[i].Pos[1] < All.UpperCorner[grnr][1])
if(P[i].Pos[2] >= All.Corner[grnr][2] && P[i].Pos[2] < All.UpperCorner[grnr][2])
{
for(j = 0; j < 3; j++)
{
slab = to_slab_fac * (P[i].Pos[j] - All.Corner[grnr][j]);
if(slab < meshmin[j])
meshmin[j] = slab;
if(slab > meshmax[j])
meshmax[j] = slab;
}
}
}
MPI_Allreduce(&flag, &flagsum, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD);
if(flagsum > 0)
{
if(ThisTask == 0)
{
printf("In total %d particles were outside allowed range.\n", flagsum);
fflush(stdout);
}
return 1; /* error - need to return because particle were outside allowed range */
}
MPI_Allgather(meshmin, 3, MPI_INT, meshmin_list, 3, MPI_INT, MPI_COMM_WORLD);
MPI_Allgather(meshmax, 3, MPI_INT, meshmax_list, 3, MPI_INT, MPI_COMM_WORLD);
dimx = meshmax[0] - meshmin[0] + 2;
dimy = meshmax[1] - meshmin[1] + 2;
dimz = meshmax[2] - meshmin[2] + 2;
force_treefree();
pm_init_nonperiodic_allocate((dimx + 4) * (dimy + 4) * (dimz + 4));
// Sources
for(nA = 0; nA < N_GRAVS; ++nA) {
// Receivers
for(nB = 0; nB < N_GRAVS; ++nB) {
for(i = 0; i < dimx * dimy * dimz; i++)
workspace[i] = 0;
for(i = offsets[nA]; i < offsets[nA+1]; ++i) {
if(P[i].Pos[0] < All.Corner[grnr][0] || P[i].Pos[0] >= All.UpperCorner[grnr][0])
continue;
if(P[i].Pos[1] < All.Corner[grnr][1] || P[i].Pos[1] >= All.UpperCorner[grnr][1])
continue;
if(P[i].Pos[2] < All.Corner[grnr][2] || P[i].Pos[2] >= All.UpperCorner[grnr][2])
continue;
slab_x = to_slab_fac * (P[i].Pos[0] - All.Corner[grnr][0]);
dx = to_slab_fac * (P[i].Pos[0] - All.Corner[grnr][0]) - slab_x;
slab_x -= meshmin[0];
slab_xx = slab_x + 1;
slab_y = to_slab_fac * (P[i].Pos[1] - All.Corner[grnr][1]);
dy = to_slab_fac * (P[i].Pos[1] - All.Corner[grnr][1]) - slab_y;
slab_y -= meshmin[1];
slab_yy = slab_y + 1;
slab_z = to_slab_fac * (P[i].Pos[2] - All.Corner[grnr][2]);
dz = to_slab_fac * (P[i].Pos[2] - All.Corner[grnr][2]) - slab_z;
slab_z -= meshmin[2];
slab_zz = slab_z + 1;
workspace[(slab_x * dimy + slab_y) * dimz + slab_z] += P[i].Mass * (1.0 - dx) * (1.0 - dy) * (1.0 - dz);
workspace[(slab_x * dimy + slab_yy) * dimz + slab_z] += P[i].Mass * (1.0 - dx) * dy * (1.0 - dz);
workspace[(slab_x * dimy + slab_y) * dimz + slab_zz] += P[i].Mass * (1.0 - dx) * (1.0 - dy) * dz;
workspace[(slab_x * dimy + slab_yy) * dimz + slab_zz] += P[i].Mass * (1.0 - dx) * dy * dz;
workspace[(slab_xx * dimy + slab_y) * dimz + slab_z] += P[i].Mass * (dx) * (1.0 - dy) * (1.0 - dz);
workspace[(slab_xx * dimy + slab_yy) * dimz + slab_z] += P[i].Mass * (dx) * dy * (1.0 - dz);
workspace[(slab_xx * dimy + slab_y) * dimz + slab_zz] += P[i].Mass * (dx) * (1.0 - dy) * dz;
workspace[(slab_xx * dimy + slab_yy) * dimz + slab_zz] += P[i].Mass * (dx) * dy * dz;
}
for(i = 0; i < fftsize; i++) /* clear local density field */
rhogrid[i] = 0;
for(level = 0; level < (1 << PTask); level++) /* note: for level=0, target is the same task */
{
sendTask = ThisTask;
recvTask = ThisTask ^ level;
if(recvTask < NTask)
{
/* check how much we have to send */
sendmin = 2 * GRID;
sendmax = -1;
for(slab_x = meshmin[0]; slab_x < meshmax[0] + 2; slab_x++)
if(slab_to_task[slab_x] == recvTask)
{
if(slab_x < sendmin)
sendmin = slab_x;
if(slab_x > sendmax)
sendmax = slab_x;
}
if(sendmax == -1)
sendmin = 0;
/* check how much we have to receive */
recvmin = 2 * GRID;
recvmax = -1;
for(slab_x = meshmin_list[3 * recvTask]; slab_x < meshmax_list[3 * recvTask] + 2; slab_x++)
if(slab_to_task[slab_x] == sendTask)
{
if(slab_x < recvmin)
recvmin = slab_x;
if(slab_x > recvmax)
recvmax = slab_x;
}
if(recvmax == -1)
recvmin = 0;
if((recvmax - recvmin) >= 0 || (sendmax - sendmin) >= 0) /* ok, we have a contribution to the slab */
{
recv_dimx = meshmax_list[3 * recvTask + 0] - meshmin_list[3 * recvTask + 0] + 2;
recv_dimy = meshmax_list[3 * recvTask + 1] - meshmin_list[3 * recvTask + 1] + 2;
recv_dimz = meshmax_list[3 * recvTask + 2] - meshmin_list[3 * recvTask + 2] + 2;
if(level > 0)
{
MPI_Sendrecv(workspace + (sendmin - meshmin[0]) * dimy * dimz,
(sendmax - sendmin + 1) * dimy * dimz * sizeof(fftw_real), MPI_BYTE, recvTask,
TAG_NONPERIOD_A | (nA << 6) | (nB << 9), forcegrid,
(recvmax - recvmin + 1) * recv_dimy * recv_dimz * sizeof(fftw_real), MPI_BYTE,
recvTask, TAG_NONPERIOD_A | (nA << 6) | (nB << 9), MPI_COMM_WORLD, &status);
}
else
{
memcpy(forcegrid, workspace + (sendmin - meshmin[0]) * dimy * dimz,
(sendmax - sendmin + 1) * dimy * dimz * sizeof(fftw_real));
}
for(slab_x = recvmin; slab_x <= recvmax; slab_x++)
{
slab_xx = slab_x - first_slab_of_task[ThisTask];
if(slab_xx >= 0 && slab_xx < slabs_per_task[ThisTask])
{
for(slab_y = meshmin_list[3 * recvTask + 1];
slab_y <= meshmax_list[3 * recvTask + 1] + 1; slab_y++)
{
slab_yy = slab_y;
for(slab_z = meshmin_list[3 * recvTask + 2];
slab_z <= meshmax_list[3 * recvTask + 2] + 1; slab_z++)
{
slab_zz = slab_z;
rhogrid[GRID * GRID2 * slab_xx + GRID2 * slab_yy + slab_zz] +=
forcegrid[((slab_x - recvmin) * recv_dimy +
(slab_y - meshmin_list[3 * recvTask + 1])) * recv_dimz +
(slab_z - meshmin_list[3 * recvTask + 2])];
}
}
}
}
}
}
}
/* Do the FFT of the density field */
rfftwnd_mpi(fft_forward_plan, 1, rhogrid, workspace, FFTW_TRANSPOSED_ORDER);
/* multiply with the Fourier transform of the Green's function (kernel) */
for(y = 0; y < nslab_y; y++)
for(x = 0; x < GRID; x++)
for(z = 0; z < GRID / 2 + 1; z++)
{
ip = GRID * (GRID / 2 + 1) * y + (GRID / 2 + 1) * x + z;
re =
fft_of_rhogrid[ip].re * fft_of_kernel[grnr][nA][nB][ip].re -
fft_of_rhogrid[ip].im * fft_of_kernel[grnr][nA][nB][ip].im;
im =
fft_of_rhogrid[ip].re * fft_of_kernel[grnr][nA][nB][ip].im +
fft_of_rhogrid[ip].im * fft_of_kernel[grnr][nA][nB][ip].re;
fft_of_rhogrid[ip].re = re;
fft_of_rhogrid[ip].im = im;
}
/* get the potential by inverse FFT */
rfftwnd_mpi(fft_inverse_plan, 1, rhogrid, workspace, FFTW_TRANSPOSED_ORDER);
/* Now rhogrid holds the potential */
/* construct the potential for the local patch */
/* if we have a high-res mesh, establish the extension of the local patch in GRID (for reading out the
* forces)
*/
// KC 11/7/14
// This code is baffling. Because exactly the same meshmin/max and meshlists will
// be computed (on all the processors?) as were computed the first time this
// same code was executed when we checked for grid OOB problems. Here we
// test for grnr == 1 and consider *only* contributions from the high-resolution type.
// These are the same conditions above (because grnr will never change within any one
// run of this method.) I am commenting this out and we will see.
/* #ifdef PLACEHIGHRESREGION */
/* if(grnr == 1) */
/* { */
/* for(j = 0; j < 3; j++) */
/* { */
/* meshmin[j] = GRID; */
/* meshmax[j] = 0; */
/* } */
/* for(i = 0; i < NumPart; i++) */
/* { */
/* if(!((1 << P[i].Type) & (PLACEHIGHRESREGION))) */
/* continue; */
/* if(P[i].Pos[0] >= All.Corner[grnr][0] && P[i].Pos[0] < All.UpperCorner[grnr][0]) */
/* if(P[i].Pos[1] >= All.Corner[grnr][1] && P[i].Pos[1] < All.UpperCorner[grnr][1]) */
/* if(P[i].Pos[2] >= All.Corner[grnr][2] && P[i].Pos[2] < All.UpperCorner[grnr][2]) */
/* { */
/* for(j = 0; j < 3; j++) */
/* { */
/* slab = to_slab_fac * (P[i].Pos[j] - All.Corner[grnr][j]); */
/* if(slab < meshmin[j]) */
/* meshmin[j] = slab; */
/* if(slab > meshmax[j]) */
/* meshmax[j] = slab; */
/* } */
/* } */
/* } */
/* MPI_Allgather(meshmin, 3, MPI_INT, meshmin_list, 3, MPI_INT, MPI_COMM_WORLD); */
/* MPI_Allgather(meshmax, 3, MPI_INT, meshmax_list, 3, MPI_INT, MPI_COMM_WORLD); */
/* } */
/* #endif */
// /XXX? Resume porting...
dimx = meshmax[0] - meshmin[0] + 6;
dimy = meshmax[1] - meshmin[1] + 6;
dimz = meshmax[2] - meshmin[2] + 6;
for(j = 0; j < 3; j++)
{
if(meshmin[j] < 2)
endrun(131231);
if(meshmax[j] > GRID / 2 - 3)
endrun(131288);
}
for(level = 0; level < (1 << PTask); level++) /* note: for level=0, target is the same task */
{
sendTask = ThisTask;
recvTask = ThisTask ^ level;
if(recvTask < NTask)
{
/* check how much we have to send */
sendmin = 2 * GRID;
sendmax = -GRID;
for(slab_x = meshmin_list[3 * recvTask] - 2; slab_x < meshmax_list[3 * recvTask] + 4; slab_x++)
if(slab_to_task[slab_x] == sendTask)
{
if(slab_x < sendmin)
sendmin = slab_x;
if(slab_x > sendmax)
sendmax = slab_x;
}
if(sendmax == -GRID)
sendmin = sendmax + 1;
/* check how much we have to receive */
recvmin = 2 * GRID;
recvmax = -GRID;
for(slab_x = meshmin[0] - 2; slab_x < meshmax[0] + 4; slab_x++)
if(slab_to_task[slab_x] == recvTask)
{
if(slab_x < recvmin)
recvmin = slab_x;
if(slab_x > recvmax)
recvmax = slab_x;
}
if(recvmax == -GRID)
recvmin = recvmax + 1;
if((recvmax - recvmin) >= 0 || (sendmax - sendmin) >= 0) /* ok, we have a contribution to the slab */
{
recv_dimx = meshmax_list[3 * recvTask + 0] - meshmin_list[3 * recvTask + 0] + 6;
recv_dimy = meshmax_list[3 * recvTask + 1] - meshmin_list[3 * recvTask + 1] + 6;
recv_dimz = meshmax_list[3 * recvTask + 2] - meshmin_list[3 * recvTask + 2] + 6;
/* prepare what we want to send */
if(sendmax - sendmin >= 0)
{
for(slab_x = sendmin; slab_x <= sendmax; slab_x++)
{
slab_xx = slab_x - first_slab_of_task[ThisTask];
for(slab_y = meshmin_list[3 * recvTask + 1] - 2;
slab_y < meshmax_list[3 * recvTask + 1] + 4; slab_y++)
{
slab_yy = slab_y;
for(slab_z = meshmin_list[3 * recvTask + 2] - 2;
slab_z < meshmax_list[3 * recvTask + 2] + 4; slab_z++)
{
slab_zz = slab_z;
forcegrid[((slab_x - sendmin) * recv_dimy +
(slab_y - (meshmin_list[3 * recvTask + 1] - 2))) * recv_dimz +
slab_z - (meshmin_list[3 * recvTask + 2] - 2)] =
rhogrid[GRID * GRID2 * slab_xx + GRID2 * slab_yy + slab_zz];
}
}
}
}
if(level > 0)
{
MPI_Sendrecv(forcegrid,
(sendmax - sendmin + 1) * recv_dimy * recv_dimz * sizeof(fftw_real),
MPI_BYTE, recvTask, TAG_NONPERIOD_B | (nA << 6) | (nB << 9),
workspace + (recvmin - (meshmin[0] - 2)) * dimy * dimz,
(recvmax - recvmin + 1) * dimy * dimz * sizeof(fftw_real), MPI_BYTE,
recvTask, TAG_NONPERIOD_B | (nA << 6) | (nB << 9), MPI_COMM_WORLD, &status);
}
else
{
memcpy(workspace + (recvmin - (meshmin[0] - 2)) * dimy * dimz,
forcegrid, (recvmax - recvmin + 1) * dimy * dimz * sizeof(fftw_real));
}
}
}
}
dimx = meshmax[0] - meshmin[0] + 2;
dimy = meshmax[1] - meshmin[1] + 2;
dimz = meshmax[2] - meshmin[2] + 2;
recv_dimx = meshmax[0] - meshmin[0] + 6;
recv_dimy = meshmax[1] - meshmin[1] + 6;
recv_dimz = meshmax[2] - meshmin[2] + 6;
for(dim = 0; dim < 3; dim++) /* Calculate each component of the force. */
{
/* get the force component by finite differencing the potential */
/* note: "workspace" now contains the potential for the local patch, plus a suffiently large buffer region */
for(x = 0; x < meshmax[0] - meshmin[0] + 2; x++)
for(y = 0; y < meshmax[1] - meshmin[1] + 2; y++)
for(z = 0; z < meshmax[2] - meshmin[2] + 2; z++)
{
xrr = xll = xr = xl = x;
yrr = yll = yr = yl = y;
zrr = zll = zr = zl = z;
switch (dim)
{
case 0:
xr = x + 1;
xrr = x + 2;
xl = x - 1;
xll = x - 2;
break;
case 1:
yr = y + 1;
yl = y - 1;
yrr = y + 2;
yll = y - 2;
break;
case 2:
zr = z + 1;
zl = z - 1;
zrr = z + 2;
zll = z - 2;
break;
}
forcegrid[(x * dimy + y) * dimz + z]
=
fac * ((4.0 / 3) *
(workspace[((xl + 2) * recv_dimy + (yl + 2)) * recv_dimz + (zl + 2)]
- workspace[((xr + 2) * recv_dimy + (yr + 2)) * recv_dimz + (zr + 2)]) -
(1.0 / 6) *
(workspace[((xll + 2) * recv_dimy + (yll + 2)) * recv_dimz + (zll + 2)] -
workspace[((xrr + 2) * recv_dimy + (yrr + 2)) * recv_dimz + (zrr + 2)]));
}