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b/data/COLVAR_0.4 new file mode 100644 index 0000000..8f70f3c --- /dev/null +++ b/data/COLVAR_0.4 @@ -0,0 +1,4502 @@ +#! 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a/src/cli.yml b/src/cli.yml new file mode 100644 index 0000000..f19766f --- /dev/null +++ b/src/cli.yml @@ -0,0 +1,57 @@ +name: wham +version: "0.1.0" +author: D. Bauer +about: WHAM analysis +args: + - metadata: + short: f + long: file + value_name: METADATA + help: Sets the metadata file + takes_value: true + required: true + - min_hist: + long: min + value_name: HIST_MIN + takes_value: true + required: true + allow_hyphen_values: true + - max_hist: + long: max + value_name: HIST_MAX + takes_value: true + required: true + allow_hyphen_values: true + - bins: + short: b + long: bins + value_name: BINS + takes_value: true + required: true + - tolerance: + short: t + long: tolerance + value_name: TOLERANCE + takes_value: true + required: false + - iterations: + short: i + long: iterations + value_name: ITERATIONS + takes_value: true + required: false + - pbc: + long: pbc + help: Apply periodic conditions (Not implemented yet.) + - verbose: + short: v + long: verbose + help: Enables verbose output. + takes_value: false + - temperature: + short: T + long: temperature + help: WHAM temperature in Kelvin + takes_value: true + required: true + diff --git a/src/histogram.rs b/src/histogram.rs new file mode 100644 index 0000000..e07b92e --- /dev/null +++ b/src/histogram.rs @@ -0,0 +1,109 @@ +use std::fmt; + +// One histogram +#[derive(Debug)] +pub struct Histogram { + // offset of this histogram bins from the global histogram + pub first: usize, + + // offset of the last element of the histogram. TODO required? + pub last: usize, + + // total number of data points stored in the histogram + pub num_points: u32, + + // histogram bins + pub bins: Vec +} + +impl Histogram { + pub fn new(first: usize, last: usize, num_points: u32, bins: Vec) -> Histogram { + Histogram {first, last, num_points, bins} + } + + // Returns the value of a bin if the bin is present in this + // histogram + pub fn get_bin_count(&self, bin: usize) -> Option { + if bin < self.first || bin > self.last { + None + } else { + Some(self.bins[bin-self.first]) + } + } +} + +// a set of histograms + +#[derive(Debug)] +pub struct HistogramSet { + // number of histogram windows (number of simulations) + pub num_windows: usize, + + // number of global histogram bins + pub num_bins: usize, + + // min value of the histogram + pub hist_min: f32, + + // max value of the histogram + pub hist_max: f32, + + // width of a bin in unit of x + pub bin_width: f32, + + // locations of biases + pub bias_x0: Vec, + + // force constants of biases + pub bias_fc: Vec, + + // value of kT + pub kT: f32, + + // histogram for each window + pub histograms: Vec +} + +impl HistogramSet { + + pub fn new(num_bins: usize, bin_width: f32, hist_min: f32, hist_max: f32, bias_x0: Vec, bias_fc: Vec, kT: f32, histograms: Vec) -> HistogramSet { + let num_windows = histograms.len(); + HistogramSet{num_windows, num_bins, bin_width, hist_min, hist_max, bias_x0, bias_fc, kT, histograms} + } +} + +impl fmt::Display for HistogramSet { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + let mut datapoints: u32 = 0; + for h in &self.histograms { + datapoints += h.num_points; + } + + write!(f, "{} windows and {} bins ranging from {} to {} (bin width: {}).\nDatapoints: {}", + self.num_windows, self.num_bins, self.hist_min, self.hist_max, self.bin_width, datapoints) + } +} + +#[cfg(test)] +mod tests { + use super::*; + + fn build_hist() -> Histogram { + Histogram{ + first: 5, + last: 7, + num_points: 5, + bins: vec![1.0,1.0,3.0] + } + } + + #[test] + fn get_bin_count() { + let h = build_hist(); + assert_eq!(3.0, h.get_bin_count(7).unwrap()); + assert_eq!(3.0, h.get_bin_count(7).unwrap()); // twice for borrow + assert_eq!(1.0, h.get_bin_count(5).unwrap()); + assert_eq!(None, h.get_bin_count(4)); + assert_eq!(None, h.get_bin_count(8)); + } +} \ No newline at end of file diff --git a/src/io.rs b/src/io.rs new file mode 100644 index 0000000..3eb9031 --- /dev/null +++ b/src/io.rs @@ -0,0 +1,169 @@ +use super::histogram::HistogramSet; +use super::histogram::Histogram; +use super::Config; +use std::fs::File; +use std::io::prelude::*; +use std::io::BufReader; +use k_B; +use std::process; +use std::option::Option; + +// Read input data into a histogram set by iterating over input files +// given in the metadata file +pub fn read_data(cfg: &Config) -> Option { + let mut bias_x0: Vec = Vec::new(); + let mut bias_fc: Vec = Vec::new(); + let mut histograms: Vec = Vec::new(); + let kT = cfg.temperature * k_B; + let f = File::open(&cfg.metadata_file).unwrap_or_else(|x| { + eprintln!("Failed to read metadata from {}. {}", &cfg.metadata_file, x); + process::exit(1) + }); + let buf = BufReader::new(&f); + + for l in buf.lines() { + let line = l.unwrap(); + // skip comments and empty lines + if line.starts_with("#") || line.len() == 0 { + continue; + } + let (path, x0, k) = scan_fmt!(&line, "{} {} {}", String, f32, f32); + + let path = path.unwrap(); + match read_window_file(&path, cfg) { + Some(h) => { + histograms.push(h); + if cfg.verbose { + println!("File: {}, {} Data points added.", &path, histograms.last().unwrap().num_points); + } + }, + None => { + eprintln!("No data points inside histogram boundaries: {}", &path); + continue; // goto next iteration and skip adding bias values + } + } + + bias_x0.push(x0.unwrap_or_else(|| { + eprintln!("Failed to read coordinate from: {}", &line); + process::exit(1) + })); + bias_fc.push(k.unwrap_or_else(|| { + eprintln!("Failed to read bias value from: {}", &line); + process::exit(1) + })); + + + } + + if histograms.len() > 0 { + let bin_width = (cfg.hist_max - cfg.hist_min)/(cfg.num_bins as f32); + Some(HistogramSet::new(cfg.num_bins, bin_width, cfg.hist_min, cfg.hist_max, bias_x0, bias_fc, kT, histograms)) + } else { + None + } +} + +// parse a timeseries file into a histogram +fn read_window_file(window_file: &str, cfg: &Config) -> Option { + let f = File::open(window_file).unwrap_or_else(|x| { + eprintln!("Failed to read sample data from {}. {}", window_file, x); + process::exit(1) + }); + let buf = BufReader::new(&f); + + let mut global_hist = vec![0.0; cfg.num_bins]; + let mut num_points: u32 = 0; + let mut max_bin: usize = 0; + let mut min_bin: usize =(cfg.num_bins-1) as usize; + let bin_width = (cfg.hist_max - cfg.hist_min)/(cfg.num_bins as f32); + for l in buf.lines() { + let line = l.unwrap(); + // skip comments and empty lines + if line.starts_with("#") || line.starts_with("@") || line.len() == 0 { + continue; + } + + let (_, x) = scan_fmt!(&line, "{} {}", f32, f32); + + match x { + Some(x) => { + if x > cfg.hist_min && x < cfg.hist_max { + let bin_ndx = ((x-cfg.hist_min) / bin_width) as usize; + global_hist[bin_ndx] += 1.0; + num_points += 1; + if bin_ndx > max_bin { + max_bin = bin_ndx + } + if bin_ndx < min_bin { + min_bin = bin_ndx + } + } + } + None => { + eprintln!("{}, Failed to read datapoint from line: {}", &window_file, &line); + process::exit(1); + } + } + } + global_hist.truncate(max_bin+1); + if global_hist.len() > 1 || global_hist[0] != 0.0 { + global_hist.drain(..min_bin); + Some(Histogram::new(min_bin, max_bin, num_points, global_hist)) + } else { + None + } + +} + +#[cfg(test)] +mod tests { + use super::*; + + fn cfg() -> Config { + Config{ + metadata_file: "tests/data/metadata.dat".to_string(), + hist_min: 0.0, + hist_max: 3.0, + num_bins: 30, + verbose: false, + tolerance: 0.0, + max_iterations: 0, + temperature: 300.0 + } + } + + #[test] + fn read_window_file() { + let f = "tests/data/window_0.0.dat"; + let cfg = cfg(); + let h = super::read_window_file(&f, &cfg).unwrap(); + println!("{:?}", h); + assert_eq!(1, h.first); + assert_eq!(6, h.last); + assert_eq!(11, h.num_points); + assert_eq!(2.0, h.bins[0]); + assert_eq!(2.0, h.bins[2]); + assert_eq!(2.0, h.bins[4]); + assert_eq!(1.0, h.bins[5]); + } + + + #[test] + fn read_data() { + let cfg = cfg(); + let hs = super::read_data(&cfg); + assert!(hs.is_some()); + let hs = hs.unwrap(); + println!("{:?}", hs); + assert_eq!(2, hs.num_windows); + assert_eq!(cfg.num_bins, hs.num_bins); + assert_eq!(cfg.hist_min, hs.hist_min); + assert_eq!(cfg.hist_max, hs.hist_max); + let expected_bin_width = (cfg.hist_max - cfg.hist_min)/cfg.num_bins as f32; + assert_eq!(expected_bin_width, hs.bin_width); + assert_eq!(vec![0.0, 1.0], hs.bias_x0); + assert_eq!(vec![100.0, 200.0], hs.bias_fc); + assert_eq!(cfg.temperature * k_B, hs.kT); + assert_eq!(2, hs.histograms.len()) + } +} \ No newline at end of file diff --git a/src/lib.rs b/src/lib.rs new file mode 100644 index 0000000..6588bbf --- /dev/null +++ b/src/lib.rs @@ -0,0 +1,325 @@ +#![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::{HistogramSet,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, +} + +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={}" , self.metadata_file, self.hist_min, + self.hist_max, self.num_bins, self.verbose, self.tolerance, + self.max_iterations, self.temperature) + } +} + +// 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 each simulation window +fn is_converged(old_F: &Vec, new_F: &Vec, tolerance: f32) -> bool { + for i in 0..old_F.len() { + let error = (new_F[i] - old_F[i]).abs(); + if error > tolerance { + return false + } + } + true +} + +// Harmonic bias calculation: bias = 0.5*k(dx)^2 +fn calc_bias(k: f32, x0: f32, x: f32) -> f32 { + let dx = (x-x0).abs(); + 0.5*k*dx*dx +} + +// get center x value for a bin +fn get_x_for_bin(bin: usize, min: f32, width: f32) -> f32 { + min + width * ((bin as f32) + 0.5) +} + +// 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, hs: &HistogramSet, F: &Vec) -> f32 { + let mut denom_sum = 0.0; + let mut bin_count = 0.0; + let x = get_x_for_bin(bin, hs.hist_min, hs.bin_width); + for window in 0..hs.num_windows { + let h: &Histogram = &hs.histograms[window]; + if let Some(count) = h.get_bin_count(bin) { + bin_count += count; + } + let bias = calc_bias(hs.bias_fc[window], hs.bias_x0[window], x); + let bias_offset = ((F[window] - bias) / hs.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, hs: &HistogramSet, P: &Vec) -> f32 { + let mut ln_sum = 0.0; + for bin in 0..hs.num_bins { + let x = get_x_for_bin(bin, hs.hist_min, hs.bin_width); + let bias = calc_bias(hs.bias_fc[window], hs.bias_x0[window], x); + ln_sum += P[bin] * (-bias/hs.kT).exp() + } + -hs.kT * ln_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(hs: &HistogramSet, F_prev: &Vec,F: &mut Vec, P: &mut Vec) { + // reset bias offsets + for window in 0..hs.num_windows { + F[window] = 0.0; + } + + // evaluate first WHAM equation for each bin to + // estimage probabilities based on previous offsets (F_prev) + for bin in 0..hs.num_bins { + P[bin] = calc_bin_probability(bin, hs, F_prev); + } + + // evaluate second WHAM equation for each window to + // estimate new bias offsets from propabilities + for window in 0..hs.num_windows { + F[window] = calc_window_F(window, hs, P); + } +} + +// get average difference between two bias offset sets +fn diff_avg(F: &Vec, F_prev: &Vec) -> 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(hs: &HistogramSet, P: &mut Vec, A: &mut Vec) { + // Normalize P + let mut P_sum = 0.0; + for bin in 0..hs.num_bins { + P_sum += P[bin]; + } + for bin in 0..hs.num_bins { + P[bin] /= P_sum; + } + + // Free energy calculation + for bin in 0..hs.num_bins { + A[bin] = -hs.kT*P[bin].ln(); + } + + // find min value + let mut min: f32 = f32::MAX; + for bin in 0..hs.num_bins { + if A[bin] < min { + min = A[bin] + } + } + + // normalize A + for bin in 0..hs.num_bins { + A[bin] -= min; + } +} + +pub fn run(cfg: &Config) -> Result<(), Box>{ + println!("{}", &cfg); + + // read input data into the histograms object + let histograms = io::read_data(&cfg).unwrap(); + println!("Input consists of {}",&histograms); + + // allocate data arrays for 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 % 100 == 0 { + println!("Iteration {}: dF={}", &iteration, &diff_avg(&F_prev, &F)); + } + + // Dump free energy and bias offsets + if iteration % 1000 == 0 { + free_energy(&histograms, &mut P, &mut A); + println!("#PMF"); + println!("#x\t\tFree Energy\t\tP(x)"); + for bin in 0..histograms.num_bins { + let x = get_x_for_bin(bin, histograms.hist_min, histograms.bin_width); + 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..histograms.num_windows { + println!("{}\t{:9.5}\t{:8.8}", window, F[window], (F[window]-F_prev[window]).abs()); + } + } + } + + if iteration == cfg.max_iterations { + println!("!!!!! WHAM not converged! (max iterations reached) !!!!!"); + } + + + // println!("#Window\t\t F"); + // for window in 0..histograms.num_windows { + // println!("#{}\t\t{}", window, F[window]); + // } + // let mut free_energy = vec![0.0; histograms.num_bins]; + // for bin in 0..histograms.num_bins { + // let P = calc_bin_probability(bin, &histograms, &F); + // free_energy[bin] = -histograms.kT * P.ln(); + // } + // let mut min = &f32::MAX; + // for bin in 0..histograms.num_bins { + // if &free_energy[bin] < min { + // min = &free_energy[bin] + // } + // } + // println!("#x\t\tFree energy"); + // for bin in 0..histograms.num_bins { + // let x = get_x_for_bin(bin, histograms.hist_min, histograms.bin_width); + // let free_normalized = free_energy[bin] - min; + // println!("{}\t\t{}", x, free_normalized); + // } + + Ok(()) +} + +#[cfg(test)] +mod tests { + use super::histogram::{HistogramSet,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); + } + + #[test] + fn calc_bias() { + let x0 = 10.0; + let x = 5.0; + let k = 500.0; + assert_eq!(6250.0, super::calc_bias(k, x0, x)); + } + + fn create_test_hs() -> HistogramSet { + 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]); + HistogramSet::new(4, 1.0, 0.0, 4.0, vec![1.0, 2.0], vec![10.0, 10.0], 2.479, vec![h1, h2]) + } + + 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 hs = create_test_hs(); + let probability = vec!(0.959, 0.331, 0.656, 46.750); + let expected = vec!(0.596, -0.250); + for window in 0..hs.num_windows { + let F = super::calc_window_F(window, &hs, &probability); + assert_near(expected[window], F, 0.001); + } + + } + + #[test] + fn calc_bin_probability() { + let hs = create_test_hs(); + 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, &hs, &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, &hs, &F); + assert_near(expected[b], p, 0.001); + } + } + + #[test] + fn get_x_for_bin() { + let min = 0.0; + let width = 1.0; + let expected = vec!(0.5, 1.5, 2.5, 3.5, 4.5); + for i in 0..5 { + let x = super::get_x_for_bin(i, min, width); + assert_eq!(expected[i], x); + } + } + + #[test] + fn test_perform_wham_iteration() { + let hs = create_test_hs(); + let prev_F = vec![0.0; hs.num_windows]; + let mut F = vec![0.0; hs.num_windows]; + let mut P = vec![f32::NAN; hs.num_bins]; + super::perform_wham_iteration(&hs, &prev_F, &mut F, &mut P); + let expected_F = vec!(0.596, -0.250); + let expected_P = vec!(0.959, 0.331, 0.656, 46.750); + for bin in 0..hs.num_bins { + assert_near(expected_P[bin], P[bin], 0.01) + } + for window in 0..hs.num_windows { + assert_near(expected_F[window], F[window], 0.01) + } + + } +} \ No newline at end of file diff --git a/src/main.rs b/src/main.rs new file mode 100644 index 0000000..545e29c --- /dev/null +++ b/src/main.rs @@ -0,0 +1,45 @@ +extern crate wham; +#[macro_use] +extern crate clap; + +use clap::App; +use wham::Config; +use std::error::Error; +use std::result::Result; +use std::process; +use std::env; + +// Parse command line arguments into a Config struct +fn cli() -> Result> { + let yaml = load_yaml!("cli.yml"); + let matches = App::from_yaml(yaml).get_matches(); + let metadata_file = matches.value_of("metadata").unwrap().to_string(); + let hist_min: f32 = matches.value_of("min_hist").unwrap().parse()?; + let hist_max: f32 = matches.value_of("max_hist").unwrap().parse()?; + let num_bins: usize = matches.value_of("bins").unwrap().parse()?; + let verbose: bool = matches.is_present("verbose"); + let temperature: f32 = matches.value_of("temperature").unwrap().parse()?; + + let tolerance: f32; + if matches.is_present("tolerance") { + tolerance = matches.value_of("tolerance").unwrap().parse()?; + } else { + tolerance = std::f32::MIN_POSITIVE; + } + let max_iterations: usize; + if matches.is_present("iterations") { + max_iterations = matches.value_of("iterations").unwrap().parse()?; + } else { + max_iterations = std::usize::MAX; + } + Ok(wham::Config{metadata_file, hist_min, hist_max, num_bins, + verbose, tolerance, max_iterations, temperature}) +} + +fn main() { + let cfg = cli().expect("Failed to parse CLI."); + match wham::run(&cfg) { + Err(_) => process::exit(1), + _ => {} + } +} diff --git a/tests/data/metadata.dat b/tests/data/metadata.dat new file mode 100644 index 0000000..b85dcb5 --- /dev/null +++ b/tests/data/metadata.dat @@ -0,0 +1,4 @@ +# a comment +tests/data/window_0.0.dat 0.0 100 +tests/data/window_1.0.dat 1.0 200 +tests/data/window_99.0.dat 99.0 600 \ No newline at end of file diff --git a/tests/data/window_0.0.dat b/tests/data/window_0.0.dat new file mode 100644 index 0000000..40cb7b0 --- /dev/null +++ b/tests/data/window_0.0.dat @@ -0,0 +1,12 @@ +1 0.1 +2 0.15 +3 0.2 +4 0.25 +5 0.3 +6 0.35 +7 0.4 +8 0.45 +9 0.5 +1 0.55 +11 0.6 +12 99 \ No newline at end of file diff --git a/tests/data/window_1.0.dat b/tests/data/window_1.0.dat new file mode 100644 index 0000000..18dcd17 --- /dev/null +++ b/tests/data/window_1.0.dat @@ -0,0 +1,10 @@ +1 1.0 +2 1.0 +3 1.0 +4 1.0 +5 1.0 +6 1.0 +7 1.0 +8 1.0 +9 1.0 +1 1.0 diff --git a/tests/data/window_99.0.dat b/tests/data/window_99.0.dat new file mode 100644 index 0000000..40814c6 --- /dev/null +++ b/tests/data/window_99.0.dat @@ -0,0 +1,5 @@ +1 99.0 +2 99.0 +3 99.0 +4 99.0 +5 99.0 \ No newline at end of file