1
0
Fork 0
mirror of https://github.com/cosmo-sims/monofonIC.git synced 2024-09-19 17:03:45 +02:00
monofonIC/src/ic_generator.cc
2020-05-24 13:01:14 +02:00

738 lines
38 KiB
C++

#include <general.hh>
#include <grid_fft.hh>
#include <operators.hh>
#include <convolution.hh>
#include <testing.hh>
#include <ic_generator.hh>
#include <particle_generator.hh>
#include <particle_plt.hh>
#include <unistd.h> // for unlink
std::map<cosmo_species,std::string> cosmo_species_name =
{
{cosmo_species::dm,"Dark matter"},
{cosmo_species::baryon,"Baryons"},
{cosmo_species::neutrino,"Neutrinos"}
};
namespace ic_generator{
std::unique_ptr<RNG_plugin> the_random_number_generator;
std::unique_ptr<output_plugin> the_output_plugin;
std::unique_ptr<cosmology::calculator> the_cosmo_calc;
int Initialise( config_file& the_config )
{
the_random_number_generator = std::move(select_RNG_plugin(the_config));
the_output_plugin = std::move(select_output_plugin(the_config));
the_cosmo_calc = std::make_unique<cosmology::calculator>(the_config);
return 0;
}
int Run( config_file& the_config )
{
//--------------------------------------------------------------------------------------------------------
// Read run parameters
//--------------------------------------------------------------------------------------------------------
//--------------------------------------------------------------------------------------------------------
//! number of resolution elements per dimension
const size_t ngrid = the_config.get_value<size_t>("setup", "GridRes");
//--------------------------------------------------------------------------------------------------------
//! box side length in h-1 Mpc
const real_t boxlen = the_config.get_value<double>("setup", "BoxLength");
//--------------------------------------------------------------------------------------------------------
//! starting redshift
const real_t zstart = the_config.get_value<double>("setup", "zstart");
//--------------------------------------------------------------------------------------------------------
//! order of the LPT approximation
int LPTorder = the_config.get_value_safe<double>("setup","LPTorder",100);
//--------------------------------------------------------------------------------------------------------
//! initialice particles on a bcc or fcc lattice instead of a standard sc lattice (doubles and quadruples the number of particles)
std::string lattice_str = the_config.get_value_safe<std::string>("setup","ParticleLoad","sc");
const particle::lattice lattice_type =
((lattice_str=="bcc")? particle::lattice_bcc
: ((lattice_str=="fcc")? particle::lattice_fcc
: ((lattice_str=="rsc")? particle::lattice_rsc
: ((lattice_str=="glass")? particle::lattice_glass
: particle::lattice_sc))));
//--------------------------------------------------------------------------------------------------------
//! apply fixing of the complex mode amplitude following Angulo & Pontzen (2016) [https://arxiv.org/abs/1603.05253]
const bool bDoFixing = the_config.get_value_safe<bool>("setup", "DoFixing", false);
//--------------------------------------------------------------------------------------------------------
//! do baryon ICs?
const bool bDoBaryons = the_config.get_value_safe<bool>("setup", "DoBaryons", false );
std::map< cosmo_species, double > Omega;
if( bDoBaryons ){
double Om = the_config.get_value<double>("cosmology", "Omega_m");
double Ob = the_config.get_value<double>("cosmology", "Omega_b");
Omega[cosmo_species::dm] = Om-Ob;
Omega[cosmo_species::baryon] = Ob;
}else{
double Om = the_config.get_value<double>("cosmology", "Omega_m");
Omega[cosmo_species::dm] = Om;
Omega[cosmo_species::baryon] = 0.0;
}
//--------------------------------------------------------------------------------------------------------
//! do constrained ICs?
const bool bAddConstrainedModes = the_config.contains_key("setup", "ConstraintFieldFile" );
//--------------------------------------------------------------------------------------------------------
//! add beyond box tidal field modes following Schmidt et al. (2018) [https://arxiv.org/abs/1803.03274]
bool bAddExternalTides = the_config.contains_key("cosmology", "LSS_aniso_lx")
& the_config.contains_key("cosmology", "LSS_aniso_ly")
& the_config.contains_key("cosmology", "LSS_aniso_lz");
if( bAddExternalTides && !( the_config.contains_key("cosmology", "LSS_aniso_lx")
| the_config.contains_key("cosmology", "LSS_aniso_ly")
| the_config.contains_key("cosmology", "LSS_aniso_lz") ))
{
music::elog << "Not all dimensions of LSS_aniso_l{x,y,z} specified! Will ignore external tidal field!" << std::endl;
bAddExternalTides = false;
}
if( bAddExternalTides && LPTorder == 1 ){
music::elog << "External tidal field requires 2LPT! Will ignore external tidal field!" << std::endl;
bAddExternalTides = false;
}
if( bAddExternalTides && LPTorder > 2 ){
music::elog << "External tidal field requires 2LPT! Use >2LPT at your own risk (not proven to be correct)." << std::endl;
}
// Anisotropy parameters for beyond box tidal field
const std::array<real_t,3> lss_aniso_lambda = {
the_config.get_value_safe<double>("cosmology", "LSS_aniso_lx", 0.0),
the_config.get_value_safe<double>("cosmology", "LSS_aniso_ly", 0.0),
the_config.get_value_safe<double>("cosmology", "LSS_aniso_lz", 0.0),
};
const real_t lss_aniso_sum_lambda = lss_aniso_lambda[0]+lss_aniso_lambda[1]+lss_aniso_lambda[2];
//--------------------------------------------------------------------------------------------------------
const real_t astart = 1.0/(1.0+zstart);
const real_t volfac(std::pow(boxlen / ngrid / 2.0 / M_PI, 1.5));
the_cosmo_calc->write_powerspectrum(astart, "input_powerspec.txt" );
//--------------------------------------------------------------------
// Compute LPT time coefficients
//--------------------------------------------------------------------
const real_t Dplus0 = the_cosmo_calc->get_growth_factor(astart);
const real_t vfac = the_cosmo_calc->get_vfact(astart);
const double g1 = -Dplus0;
const double g2 = ((LPTorder>1)? -3.0/7.0*Dplus0*Dplus0 : 0.0);
const double g3a = ((LPTorder>2)? 1.0/3.0*Dplus0*Dplus0*Dplus0 : 0.0);
const double g3b = ((LPTorder>2)? -10.0/21.*Dplus0*Dplus0*Dplus0 : 0.0);
const double g3c = ((LPTorder>2)? 1.0/7.0*Dplus0*Dplus0*Dplus0 : 0.0);
// vfac = d log D+ / dt
// d(D+^2)/dt = 2*D+ * d D+/dt = 2 * D+^2 * vfac
// d(D+^3)/dt = 3*D+^2* d D+/dt = 3 * D+^3 * vfac
const double vfac1 = vfac;
const double vfac2 = 2*vfac;
const double vfac3 = 3*vfac;
// anisotropic velocity growth factor for external tides
// cf. eq. (5) of Stuecker et al. 2020 (https://arxiv.org/abs/2003.06427)
const std::array<real_t,3> lss_aniso_alpha = {
1.0 - Dplus0 * lss_aniso_lambda[0],
1.0 - Dplus0 * lss_aniso_lambda[1],
1.0 - Dplus0 * lss_aniso_lambda[2],
};
//--------------------------------------------------------------------
// Create arrays
//--------------------------------------------------------------------
Grid_FFT<real_t> phi({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> phi2({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> phi3a({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> phi3b({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> A3x({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> A3y({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> A3z({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
//... array [.] access to components of A3:
std::array<Grid_FFT<real_t> *, 3> A3({&A3x, &A3y, &A3z});
// additional baryon-CDM offset
Grid_FFT<real_t> dbcx({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> dbcy({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> dbcz({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
//... array [.] access to components of dbc:
std::array<Grid_FFT<real_t> *, 3> dbc3({&dbcx, &dbcy, &dbcz});
// white noise field
Grid_FFT<real_t> wnoise({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
// temporary storage of additional data
Grid_FFT<real_t> tmp({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
//--------------------------------------------------------------------
// Fill the grid with a Gaussian white noise field
//--------------------------------------------------------------------
music::ilog << "-------------------------------------------------------------------------------" << std::endl;
music::ilog << "Generating white noise field...." << std::endl;
the_random_number_generator->Fill_Grid(wnoise);
wnoise.FourierTransformForward();
//--------------------------------------------------------------------
// Use externally specified large scale modes from constraints in case
//--------------------------------------------------------------------
if( bAddConstrainedModes ){
Grid_FFT<real_t,false> cwnoise({8,8,8}, {boxlen,boxlen,boxlen});
cwnoise.Read_from_HDF5( the_config.get_value<std::string>("setup", "ConstraintFieldFile"),
the_config.get_value<std::string>("setup", "ConstraintFieldName") );
cwnoise.FourierTransformForward();
size_t ngrid_c = cwnoise.size(0), ngrid_c_2 = ngrid_c/2;
// TODO: copy over modes
double rs1{0.0},rs2{0.0},is1{0.0},is2{0.0};
double nrs1{0.0},nrs2{0.0},nis1{0.0},nis2{0.0};
size_t count{0};
#pragma omp parallel for reduction(+:rs1,rs2,is1,is2,nrs1,nrs2,nis1,nis2,count)
for( size_t i=0; i<ngrid_c; ++i ){
size_t il = size_t(-1);
if( i<ngrid_c_2 && i<ngrid/2 ) il = i;
if( i>ngrid_c_2 && i+ngrid-ngrid_c>ngrid/2) il = ngrid-ngrid_c+i;
if( il == size_t(-1) ) continue;
if( il<size_t(wnoise.local_1_start_) || il>=size_t(wnoise.local_1_start_+wnoise.local_1_size_)) continue;
il -= wnoise.local_1_start_;
for( size_t j=0; j<ngrid_c; ++j ){
size_t jl = size_t(-1);
if( j<ngrid_c_2 && j<ngrid/2 ) jl = j;
if( j>ngrid_c_2 && j+ngrid-ngrid_c>ngrid/2 ) jl = ngrid-ngrid_c+j;
if( jl == size_t(-1) ) continue;
for( size_t k=0; k<ngrid_c/2+1; ++k ){
if( k>ngrid/2 ) continue;
size_t kl = k;
++count;
nrs1 += std::real(cwnoise.kelem(i,j,k));
nrs2 += std::real(cwnoise.kelem(i,j,k))*std::real(cwnoise.kelem(i,j,k));
nis1 += std::imag(cwnoise.kelem(i,j,k));
nis2 += std::imag(cwnoise.kelem(i,j,k))*std::imag(cwnoise.kelem(i,j,k));
rs1 += std::real(wnoise.kelem(il,jl,kl));
rs2 += std::real(wnoise.kelem(il,jl,kl))*std::real(wnoise.kelem(il,jl,kl));
is1 += std::imag(wnoise.kelem(il,jl,kl));
is2 += std::imag(wnoise.kelem(il,jl,kl))*std::imag(wnoise.kelem(il,jl,kl));
#if defined(USE_MPI)
wnoise.kelem(il,jl,kl) = cwnoise.kelem(j,i,k);
#else
wnoise.kelem(il,jl,kl) = cwnoise.kelem(i,j,k);
#endif
}
}
}
// music::ilog << " ... old field: re <w>=" << rs1/count << " <w^2>-<w>^2=" << rs2/count-rs1*rs1/count/count << std::endl;
// music::ilog << " ... old field: im <w>=" << is1/count << " <w^2>-<w>^2=" << is2/count-is1*is1/count/count << std::endl;
// music::ilog << " ... new field: re <w>=" << nrs1/count << " <w^2>-<w>^2=" << nrs2/count-nrs1*nrs1/count/count << std::endl;
// music::ilog << " ... new field: im <w>=" << nis1/count << " <w^2>-<w>^2=" << nis2/count-nis1*nis1/count/count << std::endl;
music::ilog << "White noise field large-scale modes overwritten with external field." << std::endl;
}
//--------------------------------------------------------------------
// Apply Normalisation factor and Angulo&Pontzen fixing or not
//--------------------------------------------------------------------
wnoise.apply_function_k( [&](auto wn){
if (bDoFixing)
wn = (std::abs(wn) != 0.0) ? wn / std::abs(wn) : wn;
return wn / volfac;
});
//--------------------------------------------------------------------
// Compute the LPT terms....
//--------------------------------------------------------------------
//--------------------------------------------------------------------
// Create convolution class instance for non-linear terms
//--------------------------------------------------------------------
#if defined(USE_CONVOLVER_ORSZAG)
OrszagConvolver<real_t> Conv({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
#elif defined(USE_CONVOLVER_NAIVE)
NaiveConvolver<real_t> Conv({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
#endif
//--------------------------------------------------------------------
//--------------------------------------------------------------------
// Create PLT gradient operator
//--------------------------------------------------------------------
#if defined(ENABLE_PLT)
particle::lattice_gradient lg( the_config );
#else
op::fourier_gradient lg( the_config );
#endif
//--------------------------------------------------------------------
std::vector<cosmo_species> species_list;
species_list.push_back(cosmo_species::dm);
if (bDoBaryons)
species_list.push_back(cosmo_species::baryon);
//======================================================================
//... compute 1LPT displacement potential ....
//======================================================================
// phi = - delta / k^2
music::ilog << "-------------------------------------------------------------------------------" << std::endl;
music::ilog << "Generating LPT fields...." << std::endl;
double wtime = get_wtime();
music::ilog << std::setw(40) << std::setfill('.') << std::left << "Computing phi(1) term" << std::flush;
phi.FourierTransformForward(false);
phi.assign_function_of_grids_kdep([&](auto k, auto wn) {
real_t kmod = k.norm();
ccomplex_t delta = wn * the_cosmo_calc->get_amplitude(kmod, total);
return -delta / (kmod * kmod);
}, wnoise);
phi.zero_DC_mode();
music::ilog << std::setw(20) << std::setfill(' ') << std::right << "took " << get_wtime() - wtime << "s" << std::endl;
//======================================================================
//... compute 2LPT displacement potential ....
//======================================================================
if (LPTorder > 1)
{
wtime = get_wtime();
music::ilog << std::setw(40) << std::setfill('.') << std::left << "Computing phi(2) term" << std::flush;
phi2.FourierTransformForward(false);
Conv.convolve_SumOfHessians(phi, {0, 0}, phi, {1, 1}, {2, 2}, op::assign_to(phi2));
Conv.convolve_Hessians(phi, {1, 1}, phi, {2, 2}, op::add_to(phi2));
Conv.convolve_Hessians(phi, {0, 1}, phi, {0, 1}, op::subtract_from(phi2));
Conv.convolve_Hessians(phi, {0, 2}, phi, {0, 2}, op::subtract_from(phi2));
Conv.convolve_Hessians(phi, {1, 2}, phi, {1, 2}, op::subtract_from(phi2));
if (bAddExternalTides)
{
// anisotropic contribution to Phi^{(2)} for external tides, note that phi2 = nabla^2 phi^(2) at this point.
// cf. eq. (19) of Stuecker et al. 2020 (https://arxiv.org/abs/2003.06427)
phi2.assign_function_of_grids_kdep([&](vec3_t<real_t> kvec, ccomplex_t pphi, ccomplex_t pphi2) {
real_t k2 = kvec.norm_squared();
real_t fac_aniso = (kvec[0] * kvec[0] * lss_aniso_lambda[0] + kvec[1] * kvec[1] * lss_aniso_lambda[1] + kvec[2] * kvec[2] * lss_aniso_lambda[2]);
return pphi2 - (lss_aniso_sum_lambda * k2 + 4.0/3.0 * fac_aniso ) * pphi;
}, phi, phi2);
}
phi2.apply_InverseLaplacian();
music::ilog << std::setw(20) << std::setfill(' ') << std::right << "took " << get_wtime() - wtime << "s" << std::endl;
if (bAddExternalTides)
{
music::wlog << "Added external tide contribution to phi(2)... Make sure your N-body code supports this!" << std::endl;
music::wlog << " lss_aniso = (" << lss_aniso_lambda[0] << ", " << lss_aniso_lambda[1] << ", " << lss_aniso_lambda[2] << ")" << std::endl;
}
}
//======================================================================
//... compute 3LPT displacement potential
//======================================================================
if (LPTorder > 2)
{
//... 3a term ...
wtime = get_wtime();
music::ilog << std::setw(40) << std::setfill('.') << std::left << "Computing phi(3a) term" << std::flush;
phi3a.FourierTransformForward(false);
Conv.convolve_Hessians(phi, {0, 0}, phi, {1, 1}, phi, {2, 2}, op::assign_to(phi3a));
Conv.convolve_Hessians(phi, {0, 1}, phi, {0, 2}, phi, {1, 2}, op::multiply_add_to(phi3a,2.0));
Conv.convolve_Hessians(phi, {1, 2}, phi, {1, 2}, phi, {0, 0}, op::subtract_from(phi3a));
Conv.convolve_Hessians(phi, {0, 2}, phi, {0, 2}, phi, {1, 1}, op::subtract_from(phi3a));
Conv.convolve_Hessians(phi, {0, 1}, phi, {0, 1}, phi, {2, 2}, op::subtract_from(phi3a));
phi3a.apply_InverseLaplacian();
music::ilog << std::setw(20) << std::setfill(' ') << std::right << "took " << get_wtime() - wtime << "s" << std::endl;
//... 3b term ...
wtime = get_wtime();
music::ilog << std::setw(40) << std::setfill('.') << std::left << "Computing phi(3b) term" << std::flush;
phi3b.FourierTransformForward(false);
Conv.convolve_SumOfHessians(phi, {0, 0}, phi2, {1, 1}, {2, 2}, op::assign_to(phi3b));
Conv.convolve_SumOfHessians(phi, {1, 1}, phi2, {2, 2}, {0, 0}, op::add_to(phi3b));
Conv.convolve_SumOfHessians(phi, {2, 2}, phi2, {0, 0}, {1, 1}, op::add_to(phi3b));
Conv.convolve_Hessians(phi, {0, 1}, phi2, {0, 1}, op::multiply_add_to(phi3b,-2.0));
Conv.convolve_Hessians(phi, {0, 2}, phi2, {0, 2}, op::multiply_add_to(phi3b,-2.0));
Conv.convolve_Hessians(phi, {1, 2}, phi2, {1, 2}, op::multiply_add_to(phi3b,-2.0));
phi3b.apply_InverseLaplacian();
phi3b *= 0.5; // factor 1/2 from definition of phi(3b)!
music::ilog << std::setw(20) << std::setfill(' ') << std::right << "took " << get_wtime() - wtime << "s" << std::endl;
//... transversal term ...
wtime = get_wtime();
music::ilog << std::setw(40) << std::setfill('.') << std::left << "Computing A(3) term" << std::flush;
for (int idim = 0; idim < 3; ++idim)
{
// cyclic rotations of indices
int idimp = (idim + 1) % 3, idimpp = (idim + 2) % 3;
A3[idim]->FourierTransformForward(false);
Conv.convolve_Hessians(phi2, {idim, idimp}, phi, {idim, idimpp}, op::assign_to(*A3[idim]));
Conv.convolve_Hessians(phi2, {idim, idimpp}, phi, {idim, idimp}, op::subtract_from(*A3[idim]));
Conv.convolve_DifferenceOfHessians(phi, {idimp, idimpp}, phi2, {idimp, idimp}, {idimpp, idimpp}, op::add_to(*A3[idim]));
Conv.convolve_DifferenceOfHessians(phi2, {idimp, idimpp}, phi, {idimp, idimp}, {idimpp, idimpp}, op::subtract_from(*A3[idim]));
A3[idim]->apply_InverseLaplacian();
}
music::ilog << std::setw(20) << std::setfill(' ') << std::right << "took " << get_wtime() - wtime << "s" << std::endl;
}
//======================================================================
//... for two-fluid ICs we need to evolve the offset field
//======================================================================
if( bDoBaryons && LPTorder > 1 )
{
// compute phi_bc
tmp.FourierTransformForward(false);
tmp.assign_function_of_grids_kdep([&](auto kvec, auto wn){
return wn * the_cosmo_calc->get_amplitude_phibc(kvec.norm());
},wnoise);
tmp.zero_DC_mode();
for (int idim = 0; idim < 3; ++idim)
{
dbc3[idim]->FourierTransformForward(false);
Conv.convolve_Gradient_and_Hessian(tmp,{0},phi,{0,idim},op::assign_to(*dbc3[idim]));
Conv.convolve_Gradient_and_Hessian(tmp,{1},phi,{1,idim},op::add_to(*dbc3[idim]));
Conv.convolve_Gradient_and_Hessian(tmp,{2},phi,{2,idim},op::add_to(*dbc3[idim]));
dbc3[idim]->zero_DC_mode();
(*dbc3[idim]) *= -g1;
}
}
///... scale all potentials with respective growth factors
phi *= g1;
phi2 *= g2;
phi3a *= g3a;
phi3b *= g3b;
(*A3[0]) *= g3c;
(*A3[1]) *= g3c;
(*A3[2]) *= g3c;
music::ilog << "-------------------------------------------------------------------------------" << std::endl;
///////////////////////////////////////////////////////////////////////
// we store the densities here if we compute them
//======================================================================
// Testing
const std::string testing = the_config.get_value_safe<std::string>("testing", "test", "none");
if (testing != "none")
{
music::wlog << "you are running in testing mode. No ICs, only diagnostic output will be written out!" << std::endl;
if (testing == "potentials_and_densities"){
testing::output_potentials_and_densities(the_config, ngrid, boxlen, phi, phi2, phi3a, phi3b, A3);
}
else if (testing == "velocity_displacement_symmetries"){
testing::output_velocity_displacement_symmetries(the_config, ngrid, boxlen, vfac, Dplus0, phi, phi2, phi3a, phi3b, A3);
}
else if (testing == "convergence"){
testing::output_convergence(the_config, the_cosmo_calc.get(), ngrid, boxlen, vfac, Dplus0, phi, phi2, phi3a, phi3b, A3);
}
else{
music::flog << "unknown test '" << testing << "'" << std::endl;
std::abort();
}
}
for( const auto& this_species : species_list )
{
music::ilog << std::endl
<< ">>> Computing ICs for species \'" << cosmo_species_name[this_species] << "\' <<<\n" << std::endl;
const real_t C_species = (this_species == cosmo_species::baryon)? (1.0-the_cosmo_calc->cosmo_param_.f_b) : -the_cosmo_calc->cosmo_param_.f_b;
{
std::unique_ptr<particle::lattice_generator<Grid_FFT<real_t>>> particle_lattice_generator_ptr;
// if output plugin wants particles, then we need to store them, along with their IDs
if( the_output_plugin->write_species_as( this_species ) == output_type::particles )
{
// somewhat arbitrarily, start baryon particle IDs from 2**31 if we have 32bit and from 2**56 if we have 64 bits
size_t IDoffset = (this_species == cosmo_species::baryon)? ((the_output_plugin->has_64bit_ids())? 1 : 1): 0 ;
// allocate particle structure and generate particle IDs
particle_lattice_generator_ptr =
std::make_unique<particle::lattice_generator<Grid_FFT<real_t>>>( lattice_type, the_output_plugin->has_64bit_reals(), the_output_plugin->has_64bit_ids(), IDoffset, tmp, the_config );
}
//if( the_output_plugin->write_species_as( cosmo_species::dm ) == output_type::field_eulerian ){
if( the_output_plugin->write_species_as(this_species) == output_type::field_eulerian )
{
//======================================================================
// use QPT to get density and velocity fields
//======================================================================
Grid_FFT<ccomplex_t> psi({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
Grid_FFT<real_t> rho({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
//======================================================================
// initialise rho
//======================================================================
wnoise.FourierTransformForward();
rho.FourierTransformForward(false);
rho.assign_function_of_grids_kdep( [&]( auto k, auto wn ){
return wn * the_cosmo_calc->get_amplitude_rhobc(k.norm());;
}, wnoise );
rho.zero_DC_mode();
rho.FourierTransformBackward();
rho.apply_function_r( [&]( auto prho ){
return std::sqrt( 1.0 + C_species * prho );
});
//======================================================================
// initialise psi = exp(i Phi(1)/hbar)
//======================================================================
phi.FourierTransformBackward();
real_t std_phi1 = phi.std();
const real_t hbar = 2.0 * M_PI/ngrid * (2*std_phi1/Dplus0) / 1.5; //3sigma, but this might rather depend on gradients of phi...
music::ilog << "Semiclassical PT : hbar = " << hbar << " from sigma(phi1) = " << std_phi1 << std::endl;
if( LPTorder == 1 ){
psi.assign_function_of_grids_r([hbar,Dplus0]( real_t pphi, real_t prho ){
return prho * std::exp(ccomplex_t(0.0,1.0/hbar) * (pphi / Dplus0)); // divide by Dplus since phi already contains it
}, phi, rho );
}else if( LPTorder >= 2 ){
phi2.FourierTransformBackward();
// we don't have a 1/2 in the Veff term because pre-factor is already 3/7
psi.assign_function_of_grids_r([hbar,Dplus0]( real_t pphi, real_t pphi2, real_t prho ){
return prho * std::exp(ccomplex_t(0.0,1.0/hbar) * (pphi + pphi2) / Dplus0);
}, phi, phi2, rho );
}
//======================================================================
// evolve wave-function (one drift step) psi = psi *exp(-i hbar *k^2 dt / 2)
//======================================================================
psi.FourierTransformForward();
psi.apply_function_k_dep([hbar,Dplus0]( auto epsi, auto k ){
auto k2 = k.norm_squared();
return epsi * std::exp( - ccomplex_t(0.0,0.5)*hbar* k2 * Dplus0);
});
psi.FourierTransformBackward();
if( LPTorder >= 2 ){
psi.assign_function_of_grids_r([&](auto ppsi, auto pphi2) {
return ppsi * std::exp(ccomplex_t(0.0,1.0/hbar) * (pphi2) / Dplus0);
}, psi, phi2);
}
//======================================================================
// compute rho
//======================================================================
rho.assign_function_of_grids_r([&]( auto p ){
auto pp = std::real(p)*std::real(p) + std::imag(p)*std::imag(p) - 1.0;
return pp;
}, psi);
the_output_plugin->write_grid_data( rho, this_species, fluid_component::density );
rho.Write_PowerSpectrum("input_powerspec_sampled_evolved_semiclassical.txt");
rho.FourierTransformBackward();
//======================================================================
// compute v
//======================================================================
for( int idim=0; idim<3; ++idim )
{
Grid_FFT<ccomplex_t> grad_psi({ngrid, ngrid, ngrid}, {boxlen, boxlen, boxlen});
grad_psi.copy_from(psi);
grad_psi.FourierTransformForward();
grad_psi.apply_function_k_dep([&](auto x, auto k) {
return x * ccomplex_t(0.0,k[idim]);
});
grad_psi.FourierTransformBackward();
psi.FourierTransformBackward();
tmp.assign_function_of_grids_r([&](auto ppsi, auto pgrad_psi, auto prho) {
return std::real((std::conj(ppsi) * pgrad_psi - ppsi * std::conj(pgrad_psi)) / ccomplex_t(0.0, 2.0 / hbar)/(1.0+prho));
}, psi, grad_psi, rho);
fluid_component fc = (idim==0)? fluid_component::vx : ((idim==1)? fluid_component::vy : fluid_component::vz );
the_output_plugin->write_grid_data( tmp, this_species, fc );
}
}
if( the_output_plugin->write_species_as( this_species ) == output_type::particles
|| the_output_plugin->write_species_as( this_species ) == output_type::field_lagrangian )
{
//===================================================================================
// we store displacements and velocities here if we compute them
//===================================================================================
bool shifted_lattice = (this_species == cosmo_species::baryon &&
the_output_plugin->write_species_as(this_species) == output_type::particles) ? true : false;
grid_interpolate<1,Grid_FFT<real_t>> interp( tmp );
// if output plugin wants particles, then we need to store them, along with their IDs
// if( the_output_plugin->write_species_as( this_species ) == output_type::particles )
// {
// // allocate particle structure and generate particle IDs
// particle::initialize_lattice( particles, lattice_type, the_output_plugin->has_64bit_reals(), the_output_plugin->has_64bit_ids(), IDoffset, tmp, the_config );
// }
wnoise.FourierTransformForward();
// write out positions
for( int idim=0; idim<3; ++idim ){
// cyclic rotations of indices
const int idimp = (idim+1)%3, idimpp = (idim+2)%3;
const real_t lunit = the_output_plugin->position_unit();
tmp.FourierTransformForward(false);
// combine the various LPT potentials into one and take gradient
#pragma omp parallel for
for (size_t i = 0; i < phi.size(0); ++i) {
for (size_t j = 0; j < phi.size(1); ++j) {
for (size_t k = 0; k < phi.size(2); ++k) {
size_t idx = phi.get_idx(i,j,k);
auto phitot = phi.kelem(idx) + phi2.kelem(idx) + phi3a.kelem(idx) + phi3b.kelem(idx);
tmp.kelem(idx) = lg.gradient(idim,tmp.get_k3(i,j,k)) * phitot
+ lg.gradient(idimp,tmp.get_k3(i,j,k)) * A3[idimpp]->kelem(idx) - lg.gradient(idimpp,tmp.get_k3(i,j,k)) * A3[idimp]->kelem(idx);
if( bDoBaryons ){
vec3_t<real_t> kvec = phi.get_k<real_t>(i,j,k);
real_t phi_bc = the_cosmo_calc->get_amplitude_phibc(kvec.norm());
tmp.kelem(idx) -= lg.gradient(idim, tmp.get_k3(i,j,k)) * wnoise.kelem(idx) * C_species * phi_bc;
if( LPTorder > 1 ){
tmp.kelem(idx) += C_species * dbc3[idim]->kelem(idx);
}
}
if( the_output_plugin->write_species_as( this_species ) == output_type::particles && lattice_type == particle::lattice_glass){
tmp.kelem(idx) *= interp.compensation_kernel( tmp.get_k<real_t>(i,j,k) ) ;
}
// divide by Lbox, because displacement is in box units for output plugin
tmp.kelem(idx) *= lunit / boxlen;
}
}
}
tmp.zero_DC_mode();
tmp.FourierTransformBackward();
// if we write particle data, store particle data in particle structure
if( the_output_plugin->write_species_as( this_species ) == output_type::particles )
{
particle_lattice_generator_ptr->set_positions( lattice_type, shifted_lattice, idim, lunit, the_output_plugin->has_64bit_reals(), tmp, the_config );
}
// otherwise write out the grid data directly to the output plugin
// else if( the_output_plugin->write_species_as( cosmo_species::dm ) == output_type::field_lagrangian )
else if( the_output_plugin->write_species_as( this_species ) == output_type::field_lagrangian )
{
fluid_component fc = (idim==0)? fluid_component::dx : ((idim==1)? fluid_component::dy : fluid_component::dz );
the_output_plugin->write_grid_data( tmp, this_species, fc );
}
}
// write out velocities
for( int idim=0; idim<3; ++idim ){
// cyclic rotations of indices
int idimp = (idim+1)%3, idimpp = (idim+2)%3;
const real_t vunit = the_output_plugin->velocity_unit();
tmp.FourierTransformForward(false);
#pragma omp parallel for
for (size_t i = 0; i < phi.size(0); ++i) {
for (size_t j = 0; j < phi.size(1); ++j) {
for (size_t k = 0; k < phi.size(2); ++k) {
size_t idx = phi.get_idx(i,j,k);
auto phitot_v = vfac1 * phi.kelem(idx) + vfac2 * phi2.kelem(idx) + vfac3 * (phi3a.kelem(idx) + phi3b.kelem(idx));
tmp.kelem(idx) = lg.gradient(idim,tmp.get_k3(i,j,k)) * phitot_v
+ vfac3 * (lg.gradient(idimp,tmp.get_k3(i,j,k)) * A3[idimpp]->kelem(idx) - lg.gradient(idimpp,tmp.get_k3(i,j,k)) * A3[idimp]->kelem(idx));
if( bDoBaryons && LPTorder > 1 ){
tmp.kelem(idx) += C_species * vfac * dbc3[idim]->kelem(idx);
}
// correct with interpolation kernel if we used interpolation to read out the positions (for glasses)
if( the_output_plugin->write_species_as( this_species ) == output_type::particles && lattice_type == particle::lattice_glass){
tmp.kelem(idx) *= interp.compensation_kernel( tmp.get_k<real_t>(i,j,k) );
}
// correct velocity with PLT mode growth rate
tmp.kelem(idx) *= lg.vfac_corr(tmp.get_k3(i,j,k));
if( bAddExternalTides ){
// modify velocities with anisotropic expansion factor**2
tmp.kelem(idx) *= std::pow(lss_aniso_alpha[idim],2.0);
}
// divide by Lbox, because displacement is in box units for output plugin
tmp.kelem(idx) *= vunit / boxlen;
}
}
}
tmp.zero_DC_mode();
tmp.FourierTransformBackward();
// if we write particle data, store particle data in particle structure
if( the_output_plugin->write_species_as( this_species ) == output_type::particles )
{
particle_lattice_generator_ptr->set_velocities( lattice_type, shifted_lattice, idim, the_output_plugin->has_64bit_reals(), tmp, the_config );
}
// otherwise write out the grid data directly to the output plugin
else if( the_output_plugin->write_species_as( this_species ) == output_type::field_lagrangian )
{
fluid_component fc = (idim==0)? fluid_component::vx : ((idim==1)? fluid_component::vy : fluid_component::vz );
the_output_plugin->write_grid_data( tmp, this_species, fc );
}
}
if( the_output_plugin->write_species_as( this_species ) == output_type::particles )
{
the_output_plugin->write_particle_data( particle_lattice_generator_ptr->get_particles(), this_species, Omega[this_species] );
}
if( the_output_plugin->write_species_as( this_species ) == output_type::field_lagrangian )
{
// use density simply from 1st order SPT
phi.FourierTransformForward();
tmp.FourierTransformForward(false);
tmp.assign_function_of_grids_kdep( []( auto kvec, auto pphi ){
return - kvec.norm_squared() * pphi;
}, phi);
tmp.Write_PowerSpectrum("input_powerspec_sampled_SPT.txt");
tmp.FourierTransformBackward();
the_output_plugin->write_grid_data( tmp, this_species, fluid_component::density );
}
}
}
}
return 0;
}
} // end namespace ic_generator