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374 lines (318 loc) · 10.4 KB
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#include "openmc/distribution_energy.h"
#include <algorithm> // for max, min, copy, move
#include <cstddef> // for size_t
#include <iterator> // for back_inserter
#include "openmc/tensor.h"
#include "openmc/endf.h"
#include "openmc/hdf5_interface.h"
#include "openmc/math_functions.h"
#include "openmc/random_dist.h"
#include "openmc/random_lcg.h"
#include "openmc/search.h"
namespace openmc {
//==============================================================================
// DiscretePhoton implementation
//==============================================================================
DiscretePhoton::DiscretePhoton(hid_t group)
{
read_attribute(group, "primary_flag", primary_flag_);
read_attribute(group, "energy", energy_);
read_attribute(group, "atomic_weight_ratio", A_);
}
double DiscretePhoton::sample(double E, uint64_t* seed) const
{
if (primary_flag_ == 2) {
return energy_ + A_ / (A_ + 1) * E;
} else {
return energy_;
}
}
//==============================================================================
// LevelInelastic implementation
//==============================================================================
LevelInelastic::LevelInelastic(hid_t group)
{
read_attribute(group, "threshold", threshold_);
read_attribute(group, "mass_ratio", mass_ratio_);
}
double LevelInelastic::sample(double E, uint64_t* seed) const
{
return mass_ratio_ * (E - threshold_);
}
//==============================================================================
// ContinuousTabular implementation
//==============================================================================
ContinuousTabular::ContinuousTabular(hid_t group)
{
// Open incoming energy dataset
hid_t dset = open_dataset(group, "energy");
// Get interpolation parameters
tensor::Tensor<int> temp;
read_attribute(dset, "interpolation", temp);
tensor::View<int> temp_b = temp.slice(0); // breakpoints
tensor::View<int> temp_i = temp.slice(1); // interpolation parameters
std::copy(temp_b.begin(), temp_b.end(), std::back_inserter(breakpoints_));
for (const auto i : temp_i)
interpolation_.push_back(int2interp(i));
n_region_ = breakpoints_.size();
// Get incoming energies
read_dataset(dset, energy_);
std::size_t n_energy = energy_.size();
close_dataset(dset);
// Get outgoing energy distribution data
dset = open_dataset(group, "distribution");
vector<int> offsets;
vector<int> interp;
vector<int> n_discrete;
read_attribute(dset, "offsets", offsets);
read_attribute(dset, "interpolation", interp);
read_attribute(dset, "n_discrete_lines", n_discrete);
tensor::Tensor<double> eout;
read_dataset(dset, eout);
close_dataset(dset);
for (int i = 0; i < n_energy; ++i) {
// Determine number of outgoing energies
int j = offsets[i];
int n;
if (i < n_energy - 1) {
n = offsets[i + 1] - j;
} else {
n = eout.shape(1) - j;
}
// Assign interpolation scheme and number of discrete lines
CTTable d;
d.interpolation = int2interp(interp[i]);
d.n_discrete = n_discrete[i];
// Copy data
d.e_out = eout.slice(0, tensor::range(j, j + n));
d.p = eout.slice(1, tensor::range(j, j + n));
// To get answers that match ACE data, for now we still use the tabulated
// CDF values that were passed through to the HDF5 library. At a later
// time, we can remove the CDF values from the HDF5 library and
// reconstruct them using the PDF
if (true) {
d.c = eout.slice(2, tensor::range(j, j + n));
} else {
// Calculate cumulative distribution function -- discrete portion
for (int k = 0; k < d.n_discrete; ++k) {
if (k == 0) {
d.c[k] = d.p[k];
} else {
d.c[k] = d.c[k - 1] + d.p[k];
}
}
// Continuous portion
for (int k = d.n_discrete; k < n; ++k) {
if (k == d.n_discrete) {
d.c[k] = d.c[k - 1] + d.p[k];
} else {
if (d.interpolation == Interpolation::histogram) {
d.c[k] = d.c[k - 1] + d.p[k - 1] * (d.e_out[k] - d.e_out[k - 1]);
} else if (d.interpolation == Interpolation::lin_lin) {
d.c[k] = d.c[k - 1] + 0.5 * (d.p[k - 1] + d.p[k]) *
(d.e_out[k] - d.e_out[k - 1]);
}
}
}
// Normalize density and distribution functions
d.p /= d.c[n - 1];
d.c /= d.c[n - 1];
}
distribution_.push_back(std::move(d));
} // incoming energies
}
double ContinuousTabular::sample(double E, uint64_t* seed) const
{
// Read number of interpolation regions and incoming energies
bool histogram_interp;
if (n_region_ == 1) {
histogram_interp = (interpolation_[0] == Interpolation::histogram);
} else {
histogram_interp = false;
}
// Find energy bin and calculate interpolation factor -- if the energy is
// outside the range of the tabulated energies, choose the first or last bins
auto n_energy_in = energy_.size();
int i;
double r;
if (E < energy_[0]) {
i = 0;
r = 0.0;
} else if (E > energy_[n_energy_in - 1]) {
i = n_energy_in - 2;
r = 1.0;
} else {
i = lower_bound_index(energy_.begin(), energy_.end(), E);
r = (E - energy_[i]) / (energy_[i + 1] - energy_[i]);
}
// Sample between the ith and [i+1]th bin
int l;
if (histogram_interp) {
l = i;
} else {
l = r > prn(seed) ? i + 1 : i;
}
// Determine outgoing energy bin
int n_energy_out = distribution_[l].e_out.size();
int n_discrete = distribution_[l].n_discrete;
double r1 = prn(seed);
double c_k = distribution_[l].c[0];
int k = 0;
int end = n_energy_out - 2;
// Discrete portion
for (int j = 0; j < n_discrete; ++j) {
k = j;
c_k = distribution_[l].c[k];
if (r1 < c_k) {
end = j;
break;
}
}
// Continuous portion
double c_k1;
for (int j = n_discrete; j < end; ++j) {
k = j;
c_k1 = distribution_[l].c[k + 1];
if (r1 < c_k1)
break;
k = j + 1;
c_k = c_k1;
}
double E_l_k = distribution_[l].e_out[k];
if (k < n_discrete) {
// Discrete case
return E_l_k;
} else {
// Continuous case
double p_l_k = distribution_[l].p[k];
double E_out;
if (distribution_[l].interpolation == Interpolation::histogram) {
// Histogram interpolation
if (p_l_k > 0.0) {
E_out = E_l_k + (r1 - c_k) / p_l_k;
} else {
E_out = E_l_k;
}
} else if (distribution_[l].interpolation == Interpolation::lin_lin) {
// Linear-linear interpolation
double E_l_k1 = distribution_[l].e_out[k + 1];
double p_l_k1 = distribution_[l].p[k + 1];
if (E_l_k != E_l_k1) {
double frac = (p_l_k1 - p_l_k) / (E_l_k1 - E_l_k);
if (frac == 0.0) {
E_out = E_l_k + (r1 - c_k) / p_l_k;
} else {
E_out =
E_l_k +
(std::sqrt(std::max(0.0, p_l_k * p_l_k + 2.0 * frac * (r1 - c_k))) -
p_l_k) /
frac;
}
} else {
E_out = E_l_k;
}
} else {
throw std::runtime_error {
"Unexpected interpolation for continuous energy "
"distribution."};
}
// Now interpolate between incident energy bins i and i + 1
if (!histogram_interp && n_energy_out > 1) {
// Interpolation for energy E1 and EK
n_energy_out = distribution_[i].e_out.size();
n_discrete = distribution_[i].n_discrete;
const double E_i_1 = distribution_[i].e_out[n_discrete];
const double E_i_K = distribution_[i].e_out[n_energy_out - 1];
n_energy_out = distribution_[i + 1].e_out.size();
n_discrete = distribution_[i + 1].n_discrete;
const double E_i1_1 = distribution_[i + 1].e_out[n_discrete];
const double E_i1_K = distribution_[i + 1].e_out[n_energy_out - 1];
const double E_1 = E_i_1 + r * (E_i1_1 - E_i_1);
const double E_K = E_i_K + r * (E_i1_K - E_i_K);
if (l == i) {
return E_1 + (E_out - E_i_1) * (E_K - E_1) / (E_i_K - E_i_1);
} else {
return E_1 + (E_out - E_i1_1) * (E_K - E_1) / (E_i1_K - E_i1_1);
}
} else {
return E_out;
}
}
}
//==============================================================================
// MaxwellEnergy implementation
//==============================================================================
MaxwellEnergy::MaxwellEnergy(hid_t group)
{
read_attribute(group, "u", u_);
hid_t dset = open_dataset(group, "theta");
theta_ = Tabulated1D {dset};
close_dataset(dset);
}
double MaxwellEnergy::sample(double E, uint64_t* seed) const
{
// Get temperature corresponding to incoming energy
double theta = theta_(E);
while (true) {
// Sample maxwell fission spectrum
double E_out = maxwell_spectrum(theta, seed);
// Accept energy based on restriction energy
if (E_out <= E - u_)
return E_out;
}
}
//==============================================================================
// Evaporation implementation
//==============================================================================
Evaporation::Evaporation(hid_t group)
{
read_attribute(group, "u", u_);
hid_t dset = open_dataset(group, "theta");
theta_ = Tabulated1D {dset};
close_dataset(dset);
}
double Evaporation::sample(double E, uint64_t* seed) const
{
// Get temperature corresponding to incoming energy
double theta = theta_(E);
double y = (E - u_) / theta;
double v = 1.0 - std::exp(-y);
// Sample outgoing energy based on evaporation spectrum probability
// density function
double x;
while (true) {
x = -std::log((1.0 - v * prn(seed)) * (1.0 - v * prn(seed)));
if (x <= y)
break;
}
return x * theta;
}
//==============================================================================
// WattEnergy implementation
//==============================================================================
WattEnergy::WattEnergy(hid_t group)
{
// Read restriction energy
read_attribute(group, "u", u_);
// Read tabulated functions
hid_t dset = open_dataset(group, "a");
a_ = Tabulated1D {dset};
close_dataset(dset);
dset = open_dataset(group, "b");
b_ = Tabulated1D {dset};
close_dataset(dset);
}
double WattEnergy::sample(double E, uint64_t* seed) const
{
// Determine Watt parameters at incident energy
double a = a_(E);
double b = b_(E);
while (true) {
// Sample energy-dependent Watt fission spectrum
double E_out = watt_spectrum(a, b, seed);
// Accept energy based on restriction energy
if (E_out <= E - u_)
return E_out;
}
}
} // namespace openmc