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mirror of https://github.com/TREX-CoE/qmc-lttc.git synced 2024-07-16 08:00:45 +02:00

Full solutions in C

This commit is contained in:
Panadestein 2021-06-09 14:48:05 +02:00
parent 01e7d75cfb
commit eec585cf77
3 changed files with 153 additions and 3 deletions

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@ -34,6 +34,7 @@ double psi(double a, double *r, const int l) {
double kinetic(double a, double *r, const int l) {
double rnorm;
rnorm = 0.0;
for (int i = 0; i < l; ++i) {
rnorm += r[i]*r[i];
}
@ -50,6 +51,7 @@ double e_loc(double a, double *r, const int l) {
void drift(double a, double *r, double *d, const int l) {
double rnorm, fact;
rnorm = 0.0;
for (int i = 0; i < l; ++i) {
rnorm += r[i]*r[i];
}

111
pdmc.c Normal file
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@ -0,0 +1,111 @@
#include "hydrogen.h"
#include "qmc_stats.h"
void pdmc(double a, const int nmax, double dt,
double *energy, double *accept, double tau, double e_ref) {
int n_accept;
double r_old[3], r_new[3], psi_old, psi_new;
double d_old[3], d_new[3], d2_old, d2_new;
double rnd[3], fact_a, fact_b, sq_dt, q, u;
double e, w, tau_current, norma;
sq_dt = sqrt(dt);
// Initial position
random_gauss(r_old, 3);
drift(a, r_old, d_old, 3);
d2_old = 0.0;
for (int j = 0; j < 3; ++j) {
d2_old += d_old[j] * d_old[j];
}
psi_old = psi(a, r_old, 3);
*energy = 0.0;
*accept = 0.0;
n_accept = 0;
w = 1.0;
tau_current = 0.0;
norma = 0.0;
for (int i = 0; i < nmax; ++i) {
// Compute local energy and weight
e = e_loc(a, r_old, 3);
w = w * exp(-dt * (e - e_ref));
// Accumulate local energy and norm
norma = norma + w;
*energy += w * e;
// Increase time and reset if threshold reached
tau_current += dt;
if (tau_current > tau) {
w = 1.0;
tau_current = 0.0;
}
// Compute new position (correct variance of sampled Gaussian)
random_gauss(rnd, 3);
for (int j = 0; j < 3; ++j) {
r_new[j] = r_old[j] + dt * d_old[j] + rnd[j] * sq_dt;
}
// New WF and acceptance probability
drift(a, r_new, d_new, 3);
d2_new = 0.0;
for (int j = 0; j < 3; ++j) {
d2_new += d_new[j] * d_new[j];
}
psi_new = psi(a, r_new, 3);
// Compute the ratio of probabilities q
fact_b = 0.0;
for (int j = 0; j < 3; ++j) {
fact_b += (d_new[j] + d_old[j]) * (r_new[j] - r_old[j]);
}
fact_a = 0.5 * dt * (d2_new - d2_old) + fact_b;
q = psi_new / psi_old;
q = exp(-fact_a) * q * q;
u = (double) rand() / RAND_MAX;
if (u <= q) {
n_accept += 1;
for (int j = 0; j < 3; ++j) {
r_old[j] = r_new[j];
d_old[j] = d_new[j];
}
d2_old = d2_new;
psi_old = psi_new;
}
}
*energy /= norma;
*accept = (double) n_accept / nmax;
}
int main() {
const double a = 1.2;
const double dt = 0.05;
const double tau = 100.0;
const double e_ref = -0.5;
const long nmax = 1e5;
int nruns = 30;
srand(time(NULL));
double ene[nruns], acc[nruns], obs[2];
for (int i = 0; i < nruns; ++i) {
pdmc(a, nmax, dt, &ene[i], &acc[i], tau, e_ref);
}
ave_error(ene, nruns, obs);
printf("E = %.5lf +/- %.5lf\n", obs[0], obs[1]);
ave_error(acc, nruns, obs);
printf("A = %.5lf +/- %.5lf\n", obs[0], obs[1]);
return 0;
}

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@ -1,7 +1,44 @@
#include <math.h>
#include <stdio.h>
#include "qmc_stats.h"
#include "hydrogen.h"
double gaussian(double *r) {
// Pending
const double norm_gauss = 1.0 / pow(2.0 * acos(-1.0), 1.5);
return norm_gauss * exp(-0.5 * (r[0]*r[0] + r[1]*r[1] + r[2]*r[2]));
}
double gaussian_montecarlo(double a, const int nmax) {
double r[3], energy, norm, w;
norm = 0.0;
energy = 0.0;
for (int i = 0; i < nmax; ++i) {
random_gauss(r, 3);
w = psi(a, r, 3) * psi(a, r, 3) / gaussian(r);
norm += w;
energy += w * e_loc(a, r, 3);
}
return energy / norm;
}
int main() {
const double a = 1.2;
const long nmax = 1e5;
int nruns = 30;
srand(time(NULL));
double x[nruns], obs[2];
for (int i = 0; i < nruns; ++i) {
x[i] = gaussian_montecarlo(a, nmax);
}
ave_error(x, nruns, obs);
printf("E = %.5lf +/- %.5lf\n", obs[0], obs[1]);
return 0;
}