use crate::compute::result::{ComputeResult, DescriptorRow};
use molrs::store::frame_access::FrameAccess;
use molrs::types::F;
use crate::compute::cluster::ClusterResult;
use crate::compute::error::ComputeError;
use crate::compute::shape::center_of_mass::COMResult;
use crate::compute::traits::Compute;
use crate::compute::util::{MicHelper, get_positions_ref};
#[derive(Debug, Clone, Default)]
pub struct RadiusOfGyration {
masses: Option<Vec<F>>,
}
impl RadiusOfGyration {
pub fn new() -> Self {
Self { masses: None }
}
pub fn with_masses(self, masses: &[F]) -> Self {
Self {
masses: Some(masses.to_vec()),
}
}
fn one_frame<FA: FrameAccess>(
&self,
frame: &FA,
clusters: &ClusterResult,
com: &COMResult,
) -> Result<RgResult, ComputeError> {
let (xs_p, ys_p, zs_p) = get_positions_ref(frame)?;
let xs = xs_p.slice();
let ys = ys_p.slice();
let zs = zs_p.slice();
let n = xs.len();
if let Some(ref ms) = self.masses
&& ms.len() != n
{
return Err(ComputeError::DimensionMismatch {
expected: n,
got: ms.len(),
what: "RadiusOfGyration::masses",
});
}
let mic = MicHelper::from_simbox(frame.simbox_ref());
let nc = clusters.num_clusters;
if com.centers_of_mass.len() != nc || com.cluster_masses.len() != nc {
return Err(ComputeError::DimensionMismatch {
expected: nc,
got: com.centers_of_mass.len(),
what: "COMResult cluster count",
});
}
let mut rg_sum = vec![0.0 as F; nc];
let masses_ref = self.masses.as_deref();
for (i, &cid) in clusters.cluster_idx.iter().enumerate() {
if cid < 0 {
continue;
}
let c = cid as usize;
let pos = [xs[i], ys[i], zs[i]];
let m = masses_ref.map_or(1.0 as F, |ms| ms[i]);
let s = mic.disp(com.centers_of_mass[c], pos);
let s_sq = s[0] * s[0] + s[1] * s[1] + s[2] * s[2];
rg_sum[c] += m * s_sq;
}
let mut radii = vec![0.0 as F; nc];
for c in 0..nc {
if com.cluster_masses[c] > 0.0 {
radii[c] = (rg_sum[c] / com.cluster_masses[c]).sqrt();
}
}
Ok(RgResult(radii))
}
}
impl Compute for RadiusOfGyration {
type Args<'a> = (&'a Vec<ClusterResult>, &'a Vec<COMResult>);
type Output = Vec<RgResult>;
fn compute<'a, FA: FrameAccess + Sync + 'a>(
&self,
frames: &[&'a FA],
(clusters, com): Self::Args<'a>,
) -> Result<Vec<RgResult>, ComputeError> {
if frames.is_empty() {
return Err(ComputeError::EmptyInput);
}
if clusters.len() != frames.len() {
return Err(ComputeError::DimensionMismatch {
expected: frames.len(),
got: clusters.len(),
what: "ClusterResult count",
});
}
if com.len() != frames.len() {
return Err(ComputeError::DimensionMismatch {
expected: frames.len(),
got: com.len(),
what: "COMResult count",
});
}
#[cfg(feature = "rayon")]
const PAR_THRESHOLD: usize = 4;
#[cfg(feature = "rayon")]
if frames.len() >= PAR_THRESHOLD {
use rayon::prelude::*;
return frames
.par_iter()
.zip(clusters.par_iter())
.zip(com.par_iter())
.map(|((frame, cl), com_i)| self.one_frame(*frame, cl, com_i))
.collect();
}
let mut out = Vec::with_capacity(frames.len());
for ((frame, cl), com_i) in frames.iter().zip(clusters.iter()).zip(com.iter()) {
out.push(self.one_frame(*frame, cl, com_i)?);
}
Ok(out)
}
}
#[derive(Debug, Clone, Default)]
pub struct RgResult(pub Vec<F>);
impl ComputeResult for RgResult {}
impl DescriptorRow for RgResult {
fn as_row(&self) -> &[F] {
&self.0
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::compute::shape::center_of_mass::CenterOfMass;
use crate::compute::shape::inertia_tensor::InertiaTensor;
use molrs::Frame;
use molrs::spatial::region::simbox::SimBox;
use molrs::store::block::Block;
use ndarray::{Array1 as A1, array};
fn frame_with(positions: &[[F; 3]], box_len: F) -> Frame {
let x = A1::from_iter(positions.iter().map(|p| p[0]));
let y = A1::from_iter(positions.iter().map(|p| p[1]));
let z = A1::from_iter(positions.iter().map(|p| p[2]));
let mut block = Block::new();
block.insert("x", x.into_dyn()).unwrap();
block.insert("y", y.into_dyn()).unwrap();
block.insert("z", z.into_dyn()).unwrap();
let mut frame = Frame::new();
frame.insert("atoms", block);
frame.simbox = Some(
SimBox::cube(
box_len,
array![0.0 as F, 0.0 as F, 0.0 as F],
[false, false, false],
)
.unwrap(),
);
frame
}
fn manual_clusters(idx: &[i64]) -> ClusterResult {
let nc = (*idx.iter().max().unwrap_or(&-1) + 1).max(0) as usize;
let mut sizes = vec![0usize; nc];
for &c in idx {
if c >= 0 {
sizes[c as usize] += 1;
}
}
ClusterResult {
cluster_idx: ndarray::Array1::from_vec(idx.to_vec()),
num_clusters: nc,
cluster_sizes: sizes,
cluster_keys: vec![],
}
}
fn rg_single(frame: &Frame, cl: ClusterResult, rg: RadiusOfGyration) -> RgResult {
let masses: Option<Vec<F>> = rg.masses.clone();
let com_calc = match masses {
Some(ref ms) => CenterOfMass::new().with_masses(ms),
None => CenterOfMass::new(),
};
let com = com_calc.compute(&[frame], &vec![cl.clone()]).unwrap();
let out = rg.compute(&[frame], (&vec![cl], &com)).unwrap();
out.into_iter().next().unwrap()
}
#[test]
fn zero_for_coincident() {
let pos = [[1.0, 1.0, 1.0], [1.0, 1.0, 1.0]];
let frame = frame_with(&pos, 6.0);
let cl = manual_clusters(&[0, 0]);
let rg = rg_single(&frame, cl, RadiusOfGyration::new().with_masses(&[2.0, 5.0]));
assert!(rg.0[0].abs() < 1e-10);
}
#[test]
fn single_particle_zero() {
let frame = frame_with(&[[5.0, 5.0, 5.0]], 10.0);
let cl = manual_clusters(&[0]);
let rg = rg_single(&frame, cl, RadiusOfGyration::new());
assert!(rg.0[0].abs() < 1e-10);
}
#[test]
fn weighted_off_center() {
let pos = [[1.0, 3.0, 1.0], [0.9, 2.9, 1.0]];
let frame = frame_with(&pos, 6.0);
let cl = manual_clusters(&[0, 0]);
let rg = rg_single(&frame, cl, RadiusOfGyration::new().with_masses(&[3.0, 4.0]));
assert!(
(rg.0[0] - 0.0699854212).abs() < 1e-4,
"rg = {}, expected ~0.0700",
rg.0[0]
);
}
#[test]
fn two_equal_mass_along_x() {
let pos = [[2.0, 3.0, 3.0], [4.0, 3.0, 3.0]];
let frame = frame_with(&pos, 10.0);
let cl = manual_clusters(&[0, 0]);
let rg = rg_single(&frame, cl, RadiusOfGyration::new());
assert!((rg.0[0] - 1.0).abs() < 1e-5);
}
#[test]
fn rg_equals_trace_of_inertia_over_2m() {
let pos = [[1.0, 3.0, 1.0], [0.9, 2.9, 1.0]];
let masses: Vec<F> = vec![3.0, 4.0];
let frame = frame_with(&pos, 6.0);
let cl = manual_clusters(&[0, 0]);
let com = CenterOfMass::new()
.with_masses(&masses)
.compute(&[&frame], &vec![cl.clone()])
.unwrap();
let rg = RadiusOfGyration::new()
.with_masses(&masses)
.compute(&[&frame], (&vec![cl.clone()], &com))
.unwrap();
let inertia = InertiaTensor::new()
.with_masses(&masses)
.compute(&[&frame], (&vec![cl], &com))
.unwrap();
let trace = inertia[0].0[0][0][0] + inertia[0].0[0][1][1] + inertia[0].0[0][2][2];
let rg_from_trace = (trace / (2.0 * com[0].cluster_masses[0])).sqrt();
assert!(
(rg[0].0[0] - rg_from_trace).abs() < 1e-5,
"rg={}, from_trace={}",
rg[0].0[0],
rg_from_trace
);
}
}