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167
src/main.rs
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167
src/main.rs
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#![allow(non_snake_case)]
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extern crate rand;
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use rand::Rng;
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use rand::distributions::{IndependentSample, Range};
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mod energy;
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use energy::*;
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use std::io::prelude::*;
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const LJ_EPS : f64 = 1.0;
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const LJ_SIG : f64 = 1.0;
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const TAILCORR : bool = true;
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const SHIFT: bool = false;
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// easy printing to stderr
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macro_rules! println_stderr(
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($($arg:tt)*) => { {
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let r = writeln!(&mut ::std::io::stderr(), $($arg)*);
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r.expect("failed printing to stderr");
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} }
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);
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fn main() {
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// define all the stuff
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let sample_steps = 1000000;
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let minim_steps = 1000000;
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let num_particles: usize = 512;
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let density = 0.7;
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let temperature = 0.9;
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let cutoff = 3.0;
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let displacement = 0.1;
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println_stderr!("");
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println_stderr!("################################################################");
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println_stderr!("################## LJ Monte Carlo Simulation #################");
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println_stderr!("################################################################");
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println_stderr!("");
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// initialize stuff
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let beta = 1.0/temperature;
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let volume = (num_particles as f64)/ density;
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let l_x = volume.cbrt();
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let l_y = l_x;
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let l_z = l_x;
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let cutoff_squared = cutoff * cutoff;
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let mut rng = rand::thread_rng();
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let particle_range = Range::new(0, num_particles-1);
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let mut rx : Vec<f64> = vec![];
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let mut ry : Vec<f64> = vec![];
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let mut rz : Vec<f64> = vec![];
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loop {
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rx.push(l_x * rng.gen::<f64>());
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ry.push(l_y * rng.gen::<f64>());
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rz.push(l_z * rng.gen::<f64>());
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if rx.len() == num_particles { break; }
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}
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let e_corr = if TAILCORR { 8.0/3.0*std::f64::consts::PI*density*LJ_EPS*LJ_SIG.powi(3)*((1.0/3.0*(LJ_SIG/cutoff).powi(9)) - (LJ_SIG/cutoff).powi(3)) } else { 0.0 };
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let p_corr = if TAILCORR { 16.0/3.0*std::f64::consts::PI*density.powi(2)*LJ_EPS*LJ_SIG.powi(3)*((2.0/3.0*(LJ_SIG/cutoff).powi(9)) - (LJ_SIG/cutoff).powi(3)) } else { 0.0 };
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println_stderr!("Particles: {}, Density: {}, Temperature: {}", num_particles, density, temperature);
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println_stderr!("System volume: {:8.3}, Dimensions {:.3}/{:.3}/{:.3}", volume, l_x, l_y, l_z,);
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println_stderr!("Minimization steps: {}, Sampling steps: {}", minim_steps, sample_steps);
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println_stderr!("LJ params eps: {}, sigma: {}, cutoff: {}", LJ_EPS, LJ_SIG, cutoff);
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println_stderr!("Tailcorr: {:8.3}, Shift: {:8.3}, Pressurecprr: {:8.3}", e_corr, SHIFT, p_corr);
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let (mut energy, mut virial) = get_total_energy(&rx, &ry, &rz, num_particles, l_x, l_y, l_z, cutoff_squared, e_corr);
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let mut energy_sum = 0.0;
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let mut virial_sum = 0.0;
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let mut step_counter = 0;
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let mut accept_counter = 0;
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println_stderr!("");
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println_stderr!("################################################################");
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println_stderr!("##################### Energy Minimization ####################");
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println_stderr!("################################################################");
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println_stderr!("");
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for step in 0..minim_steps+sample_steps {
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// select rnd particle
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let rnd_index = particle_range.ind_sample(&mut rng);
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// store old position
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let oldX = rx[rnd_index];
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let oldY = ry[rnd_index];
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let oldZ = rz[rnd_index];
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// old particle energy
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let (old_particle_energy, old_particle_virial) = get_particle_energy(&rx, &ry, &rz, rnd_index, num_particles, l_x, l_y, l_z, cutoff_squared);
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// rnd displacement and PBC
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rx[rnd_index] += ( rng.gen::<f64>() - 0.5 ) * displacement;
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ry[rnd_index] += ( rng.gen::<f64>() - 0.5 ) * displacement;
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rz[rnd_index] += ( rng.gen::<f64>() - 0.5 ) * displacement;
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if rx[rnd_index] < 0.0 { rx[rnd_index] += l_x }
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if rx[rnd_index] > l_x { rx[rnd_index] -= l_x }
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if ry[rnd_index] < 0.0 { ry[rnd_index] += l_y }
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if ry[rnd_index] > l_y { ry[rnd_index] -= l_y }
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if rz[rnd_index] < 0.0 { rz[rnd_index] += l_z }
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if rz[rnd_index] > l_z { rz[rnd_index] -= l_z }
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// calculate energy difference
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let (new_particle_energy, new_particle_virial) = get_particle_energy(&rx, &ry, &rz, rnd_index, num_particles, l_x, l_y, l_z, cutoff_squared);
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let dE = new_particle_energy - old_particle_energy;
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//accept move
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if rng.gen::<f64>() < (-beta * dE).exp() {
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accept_counter += 1;
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if step % 1000 == 0 { // calculate total energy every 1000 steps to account for rounding errors
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let (e, v) = get_total_energy(&rx, &ry, &rz, num_particles, l_x, l_y, l_z, cutoff_squared, e_corr);
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energy = e;
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virial = v;
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} else {
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energy += dE;
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virial += new_particle_virial - old_particle_virial;
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}
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} else { // or restore old position
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rx[rnd_index] = oldX;
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ry[rnd_index] = oldY;
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rz[rnd_index] = oldZ;
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}
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// update sums for averaging
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step_counter += 1;
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energy_sum += energy;
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virial_sum += virial;
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if step_counter % 5000 == 0 && step < minim_steps {
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println!("Minim {}\tEnergy: {:.3}\tVirial: {:.3}\tAcceptance:{:.1}\tDisplacement: {:.3}", step_counter, energy, virial, 666, displacement);
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}
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// reset sums for sampling
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if step == minim_steps-1 {
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println!("Starting averaging!");
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step_counter = 0;
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energy_sum = 0.0;
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virial_sum = 0.0;
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}
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}
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let final_energy = energy_sum/step_counter as f64;
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let particle_energy = final_energy / num_particles as f64;
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let final_virial = virial_sum / 3.0 / step_counter as f64 / num_particles as f64 / volume;
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let pressure = virial_sum / 3.0 / step_counter as f64 / volume + density * temperature + p_corr;
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println!("Steps: {}", step_counter );
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println!("Avg Energy: {:.3}", final_energy);
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println!("Energy/Particle: {:.3}", particle_energy);
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println!("Virial: {:.3}", final_virial);
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println!("Pressure: {:.3}", pressure);
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}
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