/
ic_basic.hpp
2263 lines (1939 loc) · 77.1 KB
/
ic_basic.hpp
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//////////////////////////
// ic_basic.hpp
//////////////////////////
//
// basic initial condition generator for gevolution
//
// Author: Julian Adamek (Université de Genève & Observatoire de Paris)
//
// Last modified: December 2016
//
//////////////////////////
#ifndef IC_BASIC_HEADER
#define IC_BASIC_HEADER
#include "prng_engine.hpp"
#include <gsl/gsl_spline.h>
#include "tools.hpp"
#ifndef Cplx
#define Cplx Imag
#endif
#define MAX_LINESIZE 2048
using namespace std;
using namespace LATfield2;
// should be larger than maximum Ngrid
#ifndef HUGE_SKIP
#define HUGE_SKIP 65536
#endif
//////////////////////////
// displace_pcls_ic_basic
//////////////////////////
// Description:
// displaces particles according to gradient of displacement field
// (accepts two displacement fields for baryon treatment = hybrid)
//
// Arguments:
// coeff coefficient to be applied to displacement
// lat_resolution 1 / Ngrid
// part particle to be displaced
// ref_dist distance vector (in lattice units) to reference lattice point
// partInfo particle metadata
// fields array of pointers to displacement fields
// sites array of respective sites
// nfields number of fields passed
// params additional parameters (ignored)
// outputs array for reduction variables; first entry will contain the displacement
// noutputs number of reduction variables
//
// Returns:
//
//////////////////////////
void displace_pcls_ic_basic(double coeff, double lat_resolution, part_simple * part, double * ref_dist, part_simple_info partInfo, Field<Real> ** fields, Site * sites, int nfield, double * params, double * outputs, int noutputs)
{
int i;
Real gradxi[3] = {0, 0, 0};
if (nfield > 1 && (*part).ID % 8 == 0)
i = 1;
else
i = 0;
gradxi[0] = (1.-ref_dist[1]) * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+0) - (*fields[i])(sites[i]));
gradxi[1] = (1.-ref_dist[0]) * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+1) - (*fields[i])(sites[i]));
gradxi[2] = (1.-ref_dist[0]) * (1.-ref_dist[1]) * ((*fields[i])(sites[i]+2) - (*fields[i])(sites[i]));
gradxi[0] += ref_dist[1] * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+1+0) - (*fields[i])(sites[i]+1));
gradxi[1] += ref_dist[0] * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+1+0) - (*fields[i])(sites[i]+0));
gradxi[2] += ref_dist[0] * (1.-ref_dist[1]) * ((*fields[i])(sites[i]+2+0) - (*fields[i])(sites[i]+0));
gradxi[0] += (1.-ref_dist[1]) * ref_dist[2] * ((*fields[i])(sites[i]+2+0) - (*fields[i])(sites[i]+2));
gradxi[1] += (1.-ref_dist[0]) * ref_dist[2] * ((*fields[i])(sites[i]+2+1) - (*fields[i])(sites[i]+2));
gradxi[2] += (1.-ref_dist[0]) * ref_dist[1] * ((*fields[i])(sites[i]+2+1) - (*fields[i])(sites[i]+1));
gradxi[0] += ref_dist[1] * ref_dist[2] * ((*fields[i])(sites[i]+2+1+0) - (*fields[i])(sites[i]+2+1));
gradxi[1] += ref_dist[0] * ref_dist[2] * ((*fields[i])(sites[i]+2+1+0) - (*fields[i])(sites[i]+2+0));
gradxi[2] += ref_dist[0] * ref_dist[1] * ((*fields[i])(sites[i]+2+1+0) - (*fields[i])(sites[i]+1+0));
gradxi[0] /= lat_resolution;
gradxi[1] /= lat_resolution;
gradxi[2] /= lat_resolution;
if (noutputs > 0)
*outputs = coeff * sqrt(gradxi[0]*gradxi[0] + gradxi[1]*gradxi[1] + gradxi[2]*gradxi[2]);
for (i = 0; i < 3; i++) (*part).pos[i] += coeff*gradxi[i];
}
//////////////////////////
// initialize_q_ic_basic
//////////////////////////
// Description:
// initializes velocities proportional to gradient of potential
// (accepts two potentials for baryon treatment = hybrid)
//
// Arguments:
// coeff coefficient to be applied to velocity
// lat_resolution 1 / Ngrid
// part particle to be manipulated
// ref_dist distance vector (in lattice units) to reference lattice point
// partInfo particle metadata
// fields array of pointers to velocity potentials
// sites array of respective sites
// nfields number of fields passed
// params additional parameters (ignored)
// outputs array for reduction variables (ignored)
// noutputs number of reduction variables
//
// Returns: square of the velocity, (q/m)^2
//
//////////////////////////
Real initialize_q_ic_basic(double coeff, double lat_resolution, part_simple * part, double * ref_dist, part_simple_info partInfo, Field<Real> ** fields, Site * sites, int nfield, double * params, double * outputs, int noutputs)
{
int i;
Real gradPhi[3] = {0, 0, 0};
Real v2 = 0.;
if (nfield > 1 && (*part).ID % 8 == 0)
i = 1;
else
i = 0;
gradPhi[0] = (1.-ref_dist[1]) * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+0) - (*fields[i])(sites[i]));
gradPhi[1] = (1.-ref_dist[0]) * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+1) - (*fields[i])(sites[i]));
gradPhi[2] = (1.-ref_dist[0]) * (1.-ref_dist[1]) * ((*fields[i])(sites[i]+2) - (*fields[i])(sites[i]));
gradPhi[0] += ref_dist[1] * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+1+0) - (*fields[i])(sites[i]+1));
gradPhi[1] += ref_dist[0] * (1.-ref_dist[2]) * ((*fields[i])(sites[i]+1+0) - (*fields[i])(sites[i]+0));
gradPhi[2] += ref_dist[0] * (1.-ref_dist[1]) * ((*fields[i])(sites[i]+2+0) - (*fields[i])(sites[i]+0));
gradPhi[0] += (1.-ref_dist[1]) * ref_dist[2] * ((*fields[i])(sites[i]+2+0) - (*fields[i])(sites[i]+2));
gradPhi[1] += (1.-ref_dist[0]) * ref_dist[2] * ((*fields[i])(sites[i]+2+1) - (*fields[i])(sites[i]+2));
gradPhi[2] += (1.-ref_dist[0]) * ref_dist[1] * ((*fields[i])(sites[i]+2+1) - (*fields[i])(sites[i]+1));
gradPhi[0] += ref_dist[1] * ref_dist[2] * ((*fields[i])(sites[i]+2+1+0) - (*fields[i])(sites[i]+2+1));
gradPhi[1] += ref_dist[0] * ref_dist[2] * ((*fields[i])(sites[i]+2+1+0) - (*fields[i])(sites[i]+2+0));
gradPhi[2] += ref_dist[0] * ref_dist[1] * ((*fields[i])(sites[i]+2+1+0) - (*fields[i])(sites[i]+1+0));
gradPhi[0] /= lat_resolution;
gradPhi[1] /= lat_resolution;
gradPhi[2] /= lat_resolution;
for (i = 0 ; i < 3; i++)
{
(*part).vel[i] = -gradPhi[i] * coeff;
v2 += (*part).vel[i] * (*part).vel[i];
}
return v2;
}
//////////////////////////
// Pk_primordial
//////////////////////////
// Description:
// power spectrum of the primordial curvature perturbation
//
// Arguments:
// k wavenumber in units of inverse Mpc (!)
// ic settings for IC generation (datastructure containing parameters)
//
// Returns: amplitude of primordial power spectrum at given wavenumber
//
//////////////////////////
inline double Pk_primordial(const double k, const icsettings & ic)
{
return ic.A_s * pow(k / ic.k_pivot, ic.n_s - 1.); // note that k_pivot is in units of inverse Mpc!
}
//////////////////////////
// loadHomogeneousTemplate
//////////////////////////
// Description:
// loads a homogeneous template from a GADGET-2 file
//
// Arguments:
// filename string containing the path to the template file
// numpart will contain the number of particles of the template
// partdata will contain the particle positions (memory will be allocated)
//
// Returns:
//
//////////////////////////
void loadHomogeneousTemplate(const char * filename, long & numpart, float * & partdata)
{
int i;
if (parallel.grid_rank()[0] == 0) // read file
{
FILE * templatefile;
int blocksize1, blocksize2, num_read;
gadget2_header filehdr;
templatefile = fopen(filename, "r");
if (templatefile == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Unable to open template file " << filename << "." << endl;
parallel.abortForce();
}
fread(&blocksize1, sizeof(int), 1, templatefile);
if (blocksize1 != sizeof(filehdr))
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Unknown template file format - header not recognized." << endl;
fclose(templatefile);
parallel.abortForce();
}
fread(&filehdr, sizeof(filehdr), 1, templatefile);
fread(&blocksize2, sizeof(int), 1, templatefile);
if (blocksize1 != blocksize2)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Unknown template file format - block size mismatch while reading header." << endl;
fclose(templatefile);
parallel.abortForce();
}
// analyze header for compatibility
if (filehdr.num_files != 1)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Multiple input files (" << filehdr.num_files << ") currently not supported." << endl;
fclose(templatefile);
parallel.abortForce();
}
if (filehdr.BoxSize <= 0.)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! BoxSize = " << filehdr.BoxSize << " not allowed." << endl;
fclose(templatefile);
parallel.abortForce();
}
if (filehdr.npart[1] <= 0)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! No particles declared." << endl;
fclose(templatefile);
parallel.abortForce();
}
partdata = (float *) malloc(3 * sizeof(float) * filehdr.npart[1]);
if (partdata == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Memory error." << endl;
fclose(templatefile);
parallel.abortForce();
}
fread(&blocksize1, sizeof(int), 1, templatefile);
if (filehdr.npart[0] > 0)
{
if (fseek(templatefile, 3 * sizeof(float) * filehdr.npart[0], SEEK_CUR))
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Unsuccesful attempt to skip gas particles (" << filehdr.npart[0] << ")." << endl;
fclose(templatefile);
parallel.abortForce();
}
}
num_read = fread(partdata, sizeof(float), 3 * filehdr.npart[1], templatefile);
if (num_read != 3 * filehdr.npart[1])
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Unable to read particle data." << endl;
fclose(templatefile);
parallel.abortForce();
}
for (i = 2; i < 6; i++)
{
if (filehdr.npart[i] > 0)
{
if (fseek(templatefile, 3 * sizeof(float) * filehdr.npart[i], SEEK_CUR))
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Unsuccesful attempt to skip particles (" << filehdr.npart[i] << ")." << endl;
parallel.abortForce();
}
}
}
fread(&blocksize2, sizeof(int), 1, templatefile);
if (blocksize1 != blocksize2)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Unknown template file format - block size mismatch while reading particles." << endl;
fclose(templatefile);
parallel.abortForce();
}
fclose(templatefile);
// reformat and check particle data
for (i = 0; i < 3 * filehdr.npart[1]; i++)
{
partdata[i] /= filehdr.BoxSize;
if (partdata[i] < 0. || partdata[i] > 1.)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Particle data corrupted." << endl;
parallel.abortForce();
}
}
numpart = (long) filehdr.npart[1];
parallel.broadcast_dim0<long>(numpart, 0);
}
else
{
parallel.broadcast_dim0<long>(numpart, 0);
if (numpart <= 0)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Communication error." << endl;
parallel.abortForce();
}
partdata = (float *) malloc(3 * sizeof(float) * numpart);
if (partdata == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadHomogeneousTemplate! Memory error." << endl;
parallel.abortForce();
}
}
parallel.broadcast_dim0<float>(partdata, 3 * numpart, 0);
}
//////////////////////////
// loadPowerSpectrum
//////////////////////////
// Description:
// loads a tabulated matter power spectrum from a file
//
// Arguments:
// filename string containing the path to the template file
// pkspline will point to the gsl_spline which holds the tabulated
// power spectrum (memory will be allocated)
// boxsize comoving box size (in the same units as used in the file)
//
// Returns:
//
//////////////////////////
void loadPowerSpectrum(const char * filename, gsl_spline * & pkspline, const double boxsize)
{
int i = 0, numpoints = 0;
double * k;
double * pk;
if (parallel.grid_rank()[0] == 0) // read file
{
FILE * pkfile;
char line[MAX_LINESIZE];
double dummy1, dummy2;
line[MAX_LINESIZE-1] = 0;
pkfile = fopen(filename, "r");
if (pkfile == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! Unable to open file " << filename << "." << endl;
parallel.abortForce();
}
while (!feof(pkfile) && !ferror(pkfile))
{
fgets(line, MAX_LINESIZE, pkfile);
if (line[MAX_LINESIZE-1] != 0)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! Character limit (" << (MAX_LINESIZE-1) << "/line) exceeded in file " << filename << "." << endl;
fclose(pkfile);
parallel.abortForce();
}
if (sscanf(line, " %lf %lf", &dummy1, &dummy2) == 2 && !feof(pkfile) && !ferror(pkfile)) numpoints++;
}
if (numpoints < 2)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! No valid data found in file " << filename << "." << endl;
fclose(pkfile);
parallel.abortForce();
}
k = (double *) malloc(sizeof(double) * numpoints);
pk = (double *) malloc(sizeof(double) * numpoints);
if (k == NULL || pk == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! Memory error." << endl;
fclose(pkfile);
parallel.abortForce();
}
rewind(pkfile);
while (!feof(pkfile) && !ferror(pkfile))
{
fgets(line, MAX_LINESIZE, pkfile);
if (sscanf(line, " %lf %lf", &dummy1, &dummy2) == 2 && !feof(pkfile) && !ferror(pkfile))
{
if (dummy1 < 0. || dummy2 < 0.)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! Negative entry encountered." << endl;
free(k);
free(pk);
fclose(pkfile);
parallel.abortForce();
}
if (i > 0)
{
if (k[i-1] >= dummy1 * boxsize)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! k-values are not strictly ordered." << endl;
free(k);
free(pk);
fclose(pkfile);
parallel.abortForce();
}
}
k[i] = dummy1 * boxsize;
pk[i] = sqrt(0.5 * dummy2 * boxsize);
i++;
}
}
fclose(pkfile);
if (i != numpoints)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! File may have changed or file pointer corrupted." << endl;
free(k);
free(pk);
parallel.abortForce();
}
parallel.broadcast_dim0<int>(numpoints, 0);
}
else
{
parallel.broadcast_dim0<int>(numpoints, 0);
if (numpoints < 2)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! Communication error." << endl;
parallel.abortForce();
}
k = (double *) malloc(sizeof(double) * numpoints);
pk = (double *) malloc(sizeof(double) * numpoints);
if (k == NULL || pk == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadPowerSpectrum! Memory error." << endl;
parallel.abortForce();
}
}
parallel.broadcast_dim0<double>(k, numpoints, 0);
parallel.broadcast_dim0<double>(pk, numpoints, 0);
pkspline = gsl_spline_alloc(gsl_interp_cspline, numpoints);
gsl_spline_init(pkspline, k, pk, numpoints);
free(k);
free(pk);
}
//////////////////////////
// loadTransferFunctions (1)
//////////////////////////
// Description:
// loads a set of tabulated transfer functions from a file
//
// Arguments:
// filename string containing the path to the template file
// tk_delta will point to the gsl_spline which holds the tabulated
// transfer function for delta (memory will be allocated)
// tk_theta will point to the gsl_spline which holds the tabulated
// transfer function for theta (memory will be allocated)
// qname string containing the name of the component (e.g. "cdm")
// boxsize comoving box size (in the same units as used in the file)
// h conversion factor between 1/Mpc and h/Mpc (theta is in units of 1/Mpc)
//
// Returns:
//
//////////////////////////
void loadTransferFunctions(const char * filename, gsl_spline * & tk_delta, gsl_spline * & tk_theta, const char * qname, const double boxsize, const double h)
{
int i = 0, numpoints = 0;
double * k;
double * tk_d;
double * tk_t;
if (parallel.grid_rank()[0] == 0) // read file
{
FILE * tkfile;
char line[MAX_LINESIZE];
char format[MAX_LINESIZE];
char * ptr;
double dummy[3];
int kcol = -1, dcol = -1, tcol = -1, colmax;
line[MAX_LINESIZE-1] = 0;
tkfile = fopen(filename, "r");
if (tkfile == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Unable to open file " << filename << "." << endl;
parallel.abortForce();
}
while (!feof(tkfile) && !ferror(tkfile))
{
fgets(line, MAX_LINESIZE, tkfile);
if (line[MAX_LINESIZE-1] != 0)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Character limit (" << (MAX_LINESIZE-1) << "/line) exceeded in file " << filename << "." << endl;
fclose(tkfile);
parallel.abortForce();
}
if (line[0] != '#' && !feof(tkfile) && !ferror(tkfile)) numpoints++;
}
if (numpoints < 2)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! No valid data found in file " << filename << "." << endl;
fclose(tkfile);
parallel.abortForce();
}
k = (double *) malloc(sizeof(double) * numpoints);
tk_d = (double *) malloc(sizeof(double) * numpoints);
tk_t = (double *) malloc(sizeof(double) * numpoints);
if (k == NULL || tk_d == NULL || tk_t == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Memory error." << endl;
fclose(tkfile);
parallel.abortForce();
}
rewind(tkfile);
while (!feof(tkfile) && !ferror(tkfile))
{
fgets(line, MAX_LINESIZE, tkfile);
for (ptr = line, i = 0; (ptr = strchr(ptr, ':')) != NULL; i++)
{
ptr++;
if (*ptr == 'k') kcol = i;
else if (*ptr == 'd')
{
if (strncmp(ptr+2, qname, strlen(qname)) == 0) dcol = i;
}
else if (*ptr == 't')
{
if (strncmp(ptr+2, qname, strlen(qname)) == 0) tcol = i;
}
}
if (kcol >= 0 && dcol >= 0 && tcol >= 0) break;
}
if (kcol < 0 || dcol < 0 || tcol < 0)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Unable to identify requested columns!" << endl;
fclose(tkfile);
free(k);
free(tk_d);
free(tk_t);
parallel.abortForce();
}
colmax = i;
for (i = 0, ptr=format; i < colmax; i++)
{
if (i == kcol || i == dcol || i == tcol)
{
strncpy(ptr, " %lf", 4);
ptr += 4;
}
else
{
strncpy(ptr, " %*lf", 5);
ptr += 5;
}
}
*ptr = '\0';
if (kcol < dcol && dcol < tcol)
{
kcol = 0; dcol = 1; tcol = 2;
}
else if (kcol < tcol && tcol < dcol)
{
kcol = 0; dcol = 2; tcol = 1;
}
else if (dcol < kcol && kcol < tcol)
{
kcol = 1; dcol = 0; tcol = 2;
}
else if (dcol < tcol && tcol < kcol)
{
kcol = 2; dcol = 0; tcol = 1;
}
else if (tcol < kcol && kcol < dcol)
{
kcol = 1; dcol = 2; tcol = 0;
}
else if (tcol < dcol && dcol < kcol)
{
kcol = 2; dcol = 1; tcol = 0;
}
else
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Inconsistent columns!" << endl;
fclose(tkfile);
free(k);
free(tk_d);
free(tk_t);
parallel.abortForce();
}
i = 0;
while (!feof(tkfile) && !ferror(tkfile))
{
fgets(line, MAX_LINESIZE, tkfile);
if (sscanf(line, format, dummy, dummy+1, dummy+2) == 3 && !feof(tkfile) && !ferror(tkfile))
{
if (dummy[kcol] < 0.)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Negative k-value encountered." << endl;
free(k);
free(tk_d);
free(tk_t);
fclose(tkfile);
parallel.abortForce();
}
if (i > 0)
{
if (k[i-1] >= dummy[kcol] * boxsize)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! k-values are not strictly ordered." << endl;
free(k);
free(tk_d);
free(tk_t);
fclose(tkfile);
parallel.abortForce();
}
}
k[i] = dummy[kcol] * boxsize;
tk_d[i] = dummy[dcol];
tk_t[i] = dummy[tcol] * boxsize / h;
i++;
}
}
fclose(tkfile);
if (i != numpoints)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! File may have changed or file pointer corrupted." << endl;
free(k);
free(tk_d);
free(tk_t);
parallel.abortForce();
}
parallel.broadcast_dim0<int>(numpoints, 0);
}
else
{
parallel.broadcast_dim0<int>(numpoints, 0);
if (numpoints < 2)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Communication error." << endl;
parallel.abortForce();
}
k = (double *) malloc(sizeof(double) * numpoints);
tk_d = (double *) malloc(sizeof(double) * numpoints);
tk_t = (double *) malloc(sizeof(double) * numpoints);
if (k == NULL || tk_d == NULL || tk_t == NULL)
{
cerr << " proc#" << parallel.rank() << ": error in loadTransferFunctions! Memory error." << endl;
parallel.abortForce();
}
}
parallel.broadcast_dim0<double>(k, numpoints, 0);
parallel.broadcast_dim0<double>(tk_d, numpoints, 0);
parallel.broadcast_dim0<double>(tk_t, numpoints, 0);
tk_delta = gsl_spline_alloc(gsl_interp_cspline, numpoints);
tk_theta = gsl_spline_alloc(gsl_interp_cspline, numpoints);
gsl_spline_init(tk_delta, k, tk_d, numpoints);
gsl_spline_init(tk_theta, k, tk_t, numpoints);
free(k);
free(tk_d);
free(tk_t);
}
//////////////////////////
// generateCICKernel
//////////////////////////
// Description:
// generates convolution kernel for CIC projection
//
// Arguments:
// ker reference to allocated field that will contain the convolution kernel
// numpcl number of particles in the pcldata pointer
// pcldata raw particle data from which the kernel will be constructed;
// a standard kernel will be provided in case no particles are specified
// numtile tiling factor used for the particle template
//
// Returns:
//
//////////////////////////
void generateCICKernel(Field<Real> & ker, const long numpcl = 0, float * pcldata = NULL, const int numtile = 1)
{
const long linesize = ker.lattice().sizeLocal(0);
Real renorm = linesize * linesize;
long i, oct, sx, sy, sz;
float wx, wy, wz, q1, q2, q3, q4, ww;
Site x(ker.lattice());
for (x.first(); x.test(); x.next())
{
ker(x) = 0.;
}
if (numpcl == 0 || pcldata == NULL) // standard kernel
{
if (x.setCoord(0, 0, 0))
{
ker(x) = 6. * renorm;
ker(x+0) = -renorm;
x.setCoord(linesize-1, 0, 0);
ker(x) = -renorm;
}
if (x.setCoord(0, 1, 0))
ker(x) = -renorm;
if (x.setCoord(0, 0, 1))
ker(x) = -renorm;
if (x.setCoord(0, linesize-1, 0))
ker(x) = -renorm;
if (x.setCoord(0, 0, linesize-1))
ker(x) = -renorm;
return;
}
// compute kernel explicitly
renorm /= (Real) (numpcl * (long) numtile * (long) numtile * (long) numtile) / (Real) (linesize * linesize * linesize);
for (i = 0; i < numpcl; i++)
{
for (oct = 0; oct < 8; oct++)
{
if (oct == 0)
{
if (linesize * pcldata[3*i] / numtile >= 1. || linesize * pcldata[3*i+1] / numtile >= 1. || linesize * pcldata[3*i+2] / numtile >= 1.)
continue;
// particle is in the first octant
wx = 1. - linesize * pcldata[3*i] / numtile;
wy = 1. - linesize * pcldata[3*i+1] / numtile;
wz = 1. - linesize * pcldata[3*i+2] / numtile;
sx = 1;
sy = 1;
sz = 1;
}
else if (oct == 1)
{
if (linesize * (1.-pcldata[3*i]) / numtile >= 1. || linesize * pcldata[3*i+1] / numtile >= 1. || linesize * pcldata[3*i+2] / numtile >= 1.)
continue;
// particle is in the second octant
wx = 1. - linesize * (1.-pcldata[3*i]) / numtile;
wy = 1. - linesize * pcldata[3*i+1] / numtile;
wz = 1. - linesize * pcldata[3*i+2] / numtile;
sx = -1;
sy = 1;
sz = 1;
}
else if (oct == 2)
{
if (linesize * (1.-pcldata[3*i]) / numtile >= 1. || linesize * (1.-pcldata[3*i+1]) / numtile >= 1. || linesize * pcldata[3*i+2] / numtile >= 1.)
continue;
// particle is in the third octant
wx = 1. - linesize * (1.-pcldata[3*i]) / numtile;
wy = 1. - linesize * (1.-pcldata[3*i+1]) / numtile;
wz = 1. - linesize * pcldata[3*i+2] / numtile;
sx = -1;
sy = -1;
sz = 1;
}
else if (oct == 3)
{
if (linesize * pcldata[3*i] / numtile >= 1. || linesize * (1.-pcldata[3*i+1]) / numtile >= 1. || linesize * pcldata[3*i+2] / numtile >= 1.)
continue;
// particle is in the fourth octant
wx = 1. - linesize * pcldata[3*i] / numtile;
wy = 1. - linesize * (1.-pcldata[3*i+1]) / numtile;
wz = 1. - linesize * pcldata[3*i+2] / numtile;
sx = 1;
sy = -1;
sz = 1;
}
else if (oct == 4)
{
if (linesize * pcldata[3*i] / numtile >= 1. || linesize * pcldata[3*i+1] / numtile >= 1. || linesize * (1.-pcldata[3*i+2]) / numtile >= 1.)
continue;
// particle is in the fifth octant
wx = 1. - linesize * pcldata[3*i] / numtile;
wy = 1. - linesize * pcldata[3*i+1] / numtile;
wz = 1. - linesize * (1.-pcldata[3*i+2]) / numtile;
sx = 1;
sy = 1;
sz = -1;
}
else if (oct == 5)
{
if (linesize * (1.-pcldata[3*i]) / numtile >= 1. || linesize * pcldata[3*i+1] / numtile >= 1. || linesize * (1.-pcldata[3*i+2]) / numtile >= 1.)
continue;
// particle is in the sixth octant
wx = 1. - linesize * (1.-pcldata[3*i]) / numtile;
wy = 1. - linesize * pcldata[3*i+1] / numtile;
wz = 1. - linesize * (1.-pcldata[3*i+2]) / numtile;
sx = -1;
sy = 1;
sz = -1;
}
else if (oct == 6)
{
if (linesize * (1.-pcldata[3*i]) / numtile >= 1. || linesize * (1.-pcldata[3*i+1]) / numtile >= 1. || linesize * (1.-pcldata[3*i+2]) / numtile >= 1.)
continue;
// particle is in the seventh octant
wx = 1. - linesize * (1.-pcldata[3*i]) / numtile;
wy = 1. - linesize * (1.-pcldata[3*i+1]) / numtile;
wz = 1. - linesize * (1.-pcldata[3*i+2]) / numtile;
sx = -1;
sy = -1;
sz = -1;
}
else if (oct == 7)
{
if (linesize * pcldata[3*i] / numtile >= 1. || linesize * (1.-pcldata[3*i+1]) / numtile >= 1. || linesize * (1.-pcldata[3*i+2]) / numtile >= 1.)
continue;
// particle is in the eight-th octant
wx = 1. - linesize * pcldata[3*i] / numtile;
wy = 1. - linesize * (1.-pcldata[3*i+1]) / numtile;
wz = 1. - linesize * (1.-pcldata[3*i+2]) / numtile;
sx = 1;
sy = -1;
sz = -1;
}
else
continue;
// 0-direction
ww = wy*wz*renorm;
q1 = (wx > 0.9) ? 2. : 1.;
if (x.setCoord(0, 0, 0))
{
ker(x) += ww * wy * wz * q1;
x.setCoord((linesize+sx)%linesize, 0, 0);
ker(x) -= ww * wy * wz;
if (wx > 0.9)
{
x.setCoord((linesize-sx)%linesize, 0, 0);
ker(x) -= ww * wy * wz;
}
}
if (x.setCoord(0, 0, (linesize+sz)%linesize))
{
ker(x) += ww * wy * (1.-wz) * q1;
x.setCoord((linesize+sx)%linesize, 0, (linesize+sz)%linesize);
ker(x) -= ww * wy * (1.-wz);
if (wx > 0.9)
{
x.setCoord((linesize-sx)%linesize, 0, (linesize+sz)%linesize);
ker(x) -= ww * wy * (1.-wz);
}
}
if (x.setCoord(0, (linesize+sy)%linesize, 0))
{
ker(x) += ww * (1.-wy) * wz * q1;
x.setCoord((linesize+sx)%linesize, (linesize+sy)%linesize, 0);
ker(x) -= ww * (1.-wy) * wz;
if (wx > 0.9)
{
x.setCoord((linesize-sx)%linesize, (linesize+sy)%linesize, 0);
ker(x) -= ww * (1.-wy) * wz;
}
}
if (x.setCoord(0, (linesize+sy)%linesize, (linesize+sz)%linesize))
{
ker(x) += ww * (1.-wy) * (1.-wz) * q1;
x.setCoord((linesize+sx)%linesize, (linesize+sy)%linesize, (linesize+sz)%linesize);
ker(x) -= ww * (1.-wy) * (1.-wz);
if (wx > 0.9)
{
x.setCoord((linesize-sx)%linesize, (linesize+sy)%linesize, (linesize+sz)%linesize);
ker(x) -= ww * (1.-wy) * (1.-wz);
}
}
// 1-direction
ww = wx*wz*renorm;
q1 = (wy > 0.9) ? 2. : 1.;
if (x.setCoord(0, 0, 0))
{
ker(x) += ww * wx * wz * q1;
x.setCoord((linesize+sx)%linesize, 0, 0);
ker(x) += ww * (1.-wx) * wz * q1;
}
if (x.setCoord(0, 0, (linesize+sz)%linesize))
{
ker(x) += ww * wx * (1.-wz) * q1;
x.setCoord((linesize+sx)%linesize, 0, (linesize+sz)%linesize);
ker(x) += ww * (1.-wx) * (1.-wz) * q1;
}
if (x.setCoord(0, (linesize+sy)%linesize, 0))
{
ker(x) -= ww * wx * wz;
x.setCoord((linesize+sx)%linesize, (linesize+sy)%linesize, 0);
ker(x) -= ww * (1.-wx) * wz;
}
if (x.setCoord(0, (linesize+sy)%linesize, (linesize+sz)%linesize))
{
ker(x) -= ww * wx * (1.-wz);
x.setCoord((linesize+sx)%linesize, (linesize+sy)%linesize, (linesize+sz)%linesize);
ker(x) -= ww * (1.-wx) * (1.-wz);
}
if (wy > 0.9)
{
if (x.setCoord(0, (linesize-sy)%linesize, 0))
{
ker(x) -= ww * wx * wz;
x.setCoord((linesize+sx)%linesize, (linesize-sy)%linesize, 0);
ker(x) -= ww * (1.-wx) * wz;
}
if (x.setCoord(0, (linesize-sy)%linesize, (linesize+sz)%linesize))
{
ker(x) -= ww * wx * (1.-wz);
x.setCoord((linesize+sx)%linesize, (linesize-sy)%linesize, (linesize+sz)%linesize);
ker(x) -= ww * (1.-wx) * (1.-wz);
}
}
// 2-direction