Files
WHAM/src/lib.rs
2018-10-08 09:48:22 +02:00

332 lines
9.1 KiB
Rust

#![allow(non_snake_case)]
#[macro_use]
extern crate scan_fmt;
pub mod io;
pub mod histogram;
use std::error::Error;
use std::result::Result;
use histogram::{Dataset,Histogram};
use std::f32;
use std::fmt;
#[allow(non_upper_case_globals)]
static k_B: f32 = 0.0083144621; // kJ/mol*K
// Application config
#[derive(Debug)]
pub struct Config {
pub metadata_file: String,
pub hist_min: f32,
pub hist_max: f32,
pub num_bins: usize,
pub verbose: bool,
pub tolerance: f32,
pub max_iterations: usize,
pub temperature: f32,
pub cyclic: bool,
pub output: String,
}
impl fmt::Display for Config {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "Metadata={}, hist_min={}, hist_max={}, bins={}\nverbose={}, tolerance={}, iterations={}, temperature={}, cyclic={}" , self.metadata_file, self.hist_min,
self.hist_max, self.num_bins, self.verbose, self.tolerance,
self.max_iterations, self.temperature, self.cyclic)
}
}
// Checks for convergence between two WHAM iterations. WHAM is considered as
// converged if the absolute difference for the calculated bias offset is
// smaller then a tolerance value for every simulation window.
fn is_converged(old_F: &Vec<f32>, new_F: &Vec<f32>, tolerance: f32) -> bool {
!new_F.iter().zip(old_F.iter())
.map(|x| { (x.0-x.1).abs() })
.any(|diff| { diff > tolerance })
}
// estimate the probability of a bin of the histogram set based on F values
// This evaluates the first WHAM equation for each bin
fn calc_bin_probability(bin: usize, ds: &Dataset, F: &Vec<f32>) -> f32 {
let mut denom_sum = 0.0;
let mut bin_count = 0.0;
for window in 0..ds.num_windows {
let h: &Histogram = &ds.histograms[window];
if let Some(count) = h.get_bin_count(bin) {
bin_count += count;
}
let bias = ds.calc_bias(bin, window);
let bias_offset = ((F[window] - bias) / ds.kT).exp();
denom_sum += (h.num_points as f32) * bias_offset;
}
bin_count / denom_sum
}
// estimate the bias offset F of the histogram based on given probabilities
// This evaluates the second WHAM equation for each window
fn calc_window_F(window: usize, ds: &Dataset, P: &Vec<f32>) -> f32 {
let bf_sum: f32 = (0..ds.num_bins).zip(P.iter()) // zip bins and P
.map(|x: (usize, &f32)| {
x.1 * (-ds.calc_bias(x.0, window)/ds.kT).exp()
}).sum();
-ds.kT * bf_sum.ln()
}
// One full WHAM iteration includes calculation of new probabilities P and
// new bias offsets F based on previous bias offsets F_prev. This updates
// the values in vectors F and P
fn perform_wham_iteration(ds: &Dataset, F_prev: &Vec<f32>,F: &mut Vec<f32>, P: &mut Vec<f32>) {
// reset bias offsets
for window in 0..ds.num_windows {
F[window] = 0.0;
}
// for bin in 0..ds.num_bins {
// let x = get_x_for_bin(bin, ds.hist_min, ds.bin_width);
// let mut num = 0.0;
// let mut denom = 0.0;
// for window in 0..ds.num_windows {
// match ds.histograms[window].get_bin_count(bin) {
// Some(c) => num += c,
// _ => {}
// }
// let bias = calc_bias(
// ds.bias_fc[window],
// ds.bias_x0[window],
// x);
// let bf = ((F_prev[window]-bias) / ds.kT).exp();
// denom += ds.histograms[window].num_points as f32* bf
// }
// P[bin] = num / denom;
// for window in 0..ds.num_windows {
// let bias = calc_bias(
// ds.bias_fc[window],
// ds.bias_x0[window],
// x);
// let bf = (-bias/ds.kT).exp() * P[bin];
// F[window] += bf;
// }
// }
// for window in 0..ds.num_windows {
// F[window] = -ds.kT * F[window].ln();
// }
// let norm = F[0];
// for window in 0..ds.num_windows {
// F[window] = F[window] - norm;
// }
// evaluate first WHAM equation for each bin to
// estimage probabilities based on previous offsets (F_prev)
for bin in 0..ds.num_bins {
P[bin] = calc_bin_probability(bin, ds, F_prev);
}
// evaluate second WHAM equation for each window to
// estimate new bias offsets from propabilities
for window in 0..ds.num_windows {
F[window] = calc_window_F(window, ds, P);
}
// normalize F
// let norm = F[0];
// for window in 0..ds.num_windows {
// F[window] = F[window] - norm;
// }
}
// get average difference between two bias offset sets
fn diff_avg(F: &Vec<f32>, F_prev: &Vec<f32>) -> f32 {
let mut F_sum = 0.0;
for i in 0..F.len() {
F_sum += (F[i]-F_prev[i]).abs()
}
F_sum / F.len() as f32
}
// calculate the normalized free energy from normalized probability values
fn free_energy(ds: &Dataset, P: &mut Vec<f32>, A: &mut Vec<f32>) {
let mut bin_min = f32::MAX;
// Free energy calculation
for bin in 0..ds.num_bins {
A[bin] = -ds.kT*P[bin].ln();
if A[bin] < bin_min {
bin_min = A[bin];
}
}
// Make A relative to minimum
for bin in 0..ds.num_bins {
A[bin] -= bin_min;
}
// Normalize P
// let mut P_sum = 0.0;
// for bin in 0..ds.num_bins {
// P_sum += P[bin];
// }
// for bin in 0..ds.num_bins {
// P[bin] /= P_sum;
// }
}
pub fn run(cfg: &Config) -> Result<(), Box<Error>>{
println!("Supplied WHAM options: {}", &cfg);
// read input data into the histograms object
println!("Reading input files.");
let histograms = io::read_data(&cfg) // TODO nicer error handling for this
.expect("No datapoints in histogram boundaries.");
println!("{}",&histograms);
// allocate only once for better performance
let mut F_prev = vec![f32::INFINITY; histograms.num_windows];
let mut F = vec![0.0; histograms.num_windows];
let mut P = vec![f32::NAN; histograms.num_bins];
let mut A = vec![f32::NAN; histograms.num_bins];
// perform WHAM until convergence
let mut iteration = 0;
while !is_converged(&F_prev, &F, cfg.tolerance) && iteration < cfg.max_iterations {
iteration += 1;
// store F values before the next iteration
F_prev.copy_from_slice(&F[..]);
// perform wham iteration and update F
perform_wham_iteration(&histograms, &F_prev, &mut F, &mut P);
// output some stats during calculation
if iteration % 10 == 0 {
println!("Iteration {}: dF={}", &iteration, &diff_avg(&F_prev, &F));
}
// Dump free energy and bias offsets
if iteration % 100 == 0 {
free_energy(&histograms, &mut P, &mut A);
dump_state(&histograms, &F, &F_prev, &P, &A);
}
}
// Normalize P
// let mut P_sum = 0.0;
// for bin in 0..histograms.num_bins {
// P_sum += P[bin];
// }
// for bin in 0..histograms.num_bins {
// P[bin] /= P_sum;
// }
// final free energy calculation and state dump
println!("Finished. Dumping final PMF");
free_energy(&histograms, &mut P, &mut A);
dump_state(&histograms, &F, &F_prev, &P, &A);
if iteration == cfg.max_iterations {
println!("!!!!! WHAM not converged! (max iterations reached) !!!!!");
}
io::write_results(&cfg.output, &histograms, &A, &P)?;
Ok(())
}
fn dump_state(ds: &Dataset, F: &Vec<f32>, F_prev: &Vec<f32>, P: &Vec<f32>, A: &Vec<f32>) {
println!("# PMF");
println!("#x\t\tFree Energy\t\tP(x)");
for bin in 0..ds.num_bins {
let x = ds.get_x_for_bin(bin);
println!("{:9.5}\t{:9.5}\t{:9.5}", x, A[bin], P[bin]);
}
println!("# Bias offsets");
println!("#Window\t\tF\t\tdF");
for window in 0..ds.num_windows {
println!("{}\t{:9.5}\t{:8.8}", window, F[window], (F[window]-F_prev[window]).abs());
}
}
#[cfg(test)]
mod tests {
use super::histogram::{Dataset,Histogram};
use std::f32;
#[test]
fn is_converged() {
let new = vec![1.0,1.0];
let old = vec![0.95, 1.0];
let tolerance = 0.1;
let converged = super::is_converged(&old, &new, tolerance);
assert!(converged);
let old = vec![0.8, 1.0];
let converged = super::is_converged(&old, &new, tolerance);
assert!(!converged);
}
fn create_test_ds() -> Dataset {
let h1 = Histogram::new(0, 2, 10, vec![3.0, 4.0, 3.0]);
let h2 = Histogram::new(0, 3, 20, vec![3.0, 2.0, 5.0, 10.0]);
Dataset::new(4, 1.0, 0.0, 4.0, vec![1.0, 2.0], vec![10.0, 10.0], 2.479, vec![h1, h2], false)
}
fn assert_near(a: f32, b: f32, tolerance: f32) {
let d = (a-b).abs();
assert!(d <= tolerance, "Values are not close: {}, {}, d={}", &a, &b, &d);
}
#[test]
fn calc_bias_offset() {
let ds = create_test_ds();
let probability = vec!(0.959, 0.331, 0.656, 46.750);
let expected = vec!(0.596, -0.250);
for window in 0..ds.num_windows {
let F = super::calc_window_F(window, &ds, &probability);
assert_near(expected[window], F, 0.001);
}
}
#[test]
fn calc_bin_probability() {
let ds = create_test_ds();
let F = vec!(0.0, 0.0);
let expected = vec!(0.959, 0.331, 0.656, 46.750);
for b in 0..4 {
let p = super::calc_bin_probability(b, &ds, &F);
assert_near(expected[b], p, 0.001);
}
let F = vec!(1.0, 1.0);
let expected = vec!(0.641, 0.221, 0.439, 31.232);
for b in 0..4 {
let p = super::calc_bin_probability(b, &ds, &F);
assert_near(expected[b], p, 0.001);
}
}
#[test]
fn perform_wham_iteration() {
let ds = create_test_ds();
let prev_F = vec![0.0; ds.num_windows];
let mut F = vec![0.0; ds.num_windows];
let mut P = vec![f32::NAN; ds.num_bins];
super::perform_wham_iteration(&ds, &prev_F, &mut F, &mut P);
let expected_F = vec!(0.0, -0.846);
let expected_P = vec!(0.959, 0.331, 0.656, 46.750);
for bin in 0..ds.num_bins {
assert_near(expected_P[bin], P[bin], 0.01)
}
for window in 0..ds.num_windows {
assert_near(expected_F[window], F[window], 0.01)
}
}
}