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//! Capture efficiency model for targeted sequencing (panel / WES).
//!
//! Models three phenomena common to hybridisation-capture enrichment:
//! 1. **Per-target coverage variation** – each target gets a coverage
//! multiplier sampled from LogNormal(0, uniformity).
//! 2. **Edge drop-off** – exponential decay of coverage within
//! `edge_dropoff_bases` of each target boundary.
//! 3. **Off-target fraction** – some fraction of reads lands outside all
//! target regions and receives `off_target_fraction × mean_coverage`.
use rand::Rng;
use rand_distr::{Distribution, LogNormal};
use super::types::Region;
/// Model for target-capture efficiency applied during coverage calculation.
pub struct CaptureModel {
/// The target regions for this panel / WES experiment.
pub target_regions: Vec<Region>,
/// Optional fixed depth multiplier per target, parallel to `target_regions`.
///
/// When `Some(d)`, the target uses `d` directly instead of sampling from
/// LogNormal. When `None`, the normal LogNormal sampling path is used.
pub target_depths: Vec<Option<f64>>,
/// Fraction of reads that map off-target (default: 0.2).
pub off_target_fraction: f64,
/// Controls per-target coverage variation via LogNormal σ.
/// 0.0 = perfectly uniform, larger values = more variable.
pub coverage_uniformity: f64,
/// Number of bases at each target edge over which coverage decays (default: 50).
pub edge_dropoff_bases: u32,
/// Sequencing mode: `"panel"` or `"amplicon"`.
pub mode: String,
}
impl CaptureModel {
/// Create a new CaptureModel.
///
/// `target_depths` is parallel to `target_regions`. Pass an empty `Vec`
/// or a `Vec` of `None`s to fall back to LogNormal sampling for all targets.
pub fn new(
target_regions: Vec<Region>,
target_depths: Vec<Option<f64>>,
off_target_fraction: f64,
coverage_uniformity: f64,
edge_dropoff_bases: u32,
mode: String,
) -> Self {
Self {
target_regions,
target_depths,
off_target_fraction,
coverage_uniformity,
edge_dropoff_bases,
mode,
}
}
/// Returns true when this model is in amplicon mode.
///
/// In amplicon mode, fragments exactly span each target region rather than
/// being sampled from a random position within the broader capture window.
pub fn is_amplicon(&self) -> bool {
self.mode == "amplicon"
}
/// Sample a per-target coverage multiplier from LogNormal(0, uniformity).
///
/// When `uniformity == 0.0` the distribution degenerates to a point mass
/// at 1.0, so every target gets an identical multiplier.
pub fn sample_target_multiplier<R: Rng>(&self, rng: &mut R) -> f64 {
if self.coverage_uniformity == 0.0 {
return 1.0;
}
// LogNormal(μ=0, σ=uniformity) has median 1.0.
let dist =
LogNormal::new(0.0, self.coverage_uniformity).expect("invalid LogNormal parameters");
dist.sample(rng)
}
/// Sample a per-target coverage multiplier for the target at `index`.
///
/// If a fixed depth was recorded for this target in `target_depths`, that
/// value is returned directly. Otherwise the LogNormal sampling path is
/// used.
fn sample_target_multiplier_at<R: Rng>(&self, index: usize, rng: &mut R) -> f64 {
if let Some(Some(d)) = self.target_depths.get(index) {
return *d;
}
self.sample_target_multiplier(rng)
}
/// Compute the edge drop-off multiplier at `position` within a target.
///
/// `target_start` and `target_end` are 0-based half-open coordinates.
/// Returns a value in (0, 1]: 1.0 in the interior, decaying exponentially
/// within `edge_dropoff_bases` of either boundary.
///
/// The decay formula is: `e^(-distance_from_edge / decay_constant)` where
/// `decay_constant = edge_dropoff_bases / 3.0` (so that coverage reaches
/// ~5 % at the very edge).
pub fn edge_multiplier(&self, position: u64, target_start: u64, target_end: u64) -> f64 {
if self.edge_dropoff_bases == 0 {
return 1.0;
}
let dropoff = self.edge_dropoff_bases as u64;
let decay_const = (self.edge_dropoff_bases as f64) / 3.0;
// Distance from the nearest boundary.
let dist_from_start = position.saturating_sub(target_start);
let dist_from_end = target_end.saturating_sub(position + 1);
let dist_from_edge = dist_from_start.min(dist_from_end);
if dist_from_edge >= dropoff {
1.0
} else {
// Saturating exponential: 0 at the edge, approaches 1 in the interior.
// multiplier = 1 - exp(-dist_from_edge / decay_const)
let raw = 1.0 - (-(dist_from_edge as f64) / decay_const).exp();
// Clamp to (0, 1] — the above is always in [0, 1), so add epsilon floor.
raw.max(f64::EPSILON)
}
}
/// Effective coverage for a position that is **on-target**.
///
/// `mean_coverage` is the experiment-wide mean coverage.
/// `target_multiplier` is the per-target LogNormal sample for this target.
// Called only in tests; production code calls coverage_multiplier directly.
#[cfg(test)]
pub fn on_target_coverage(
&self,
mean_coverage: f64,
target_multiplier: f64,
edge_mult: f64,
) -> f64 {
mean_coverage * target_multiplier * edge_mult
}
/// Effective coverage for a position that is **off-target**.
// Called only in tests; production code calls coverage_multiplier directly.
#[cfg(test)]
pub fn off_target_coverage(&self, mean_coverage: f64) -> f64 {
mean_coverage * self.off_target_fraction
}
/// Return the effective coverage multiplier for `position` on `chrom`.
///
/// Looks up which (if any) target region contains the position, applies
/// the per-target multiplier and edge drop-off. If the position is not
/// covered by any target, returns the off-target fraction.
///
/// `target_multipliers` must be parallel to `self.target_regions`.
pub fn coverage_multiplier_at(
&self,
chrom: &str,
position: u64,
target_multipliers: &[f64],
) -> f64 {
for (i, target) in self.target_regions.iter().enumerate() {
if target.chrom == chrom && position >= target.start && position < target.end {
let edge_mult = self.edge_multiplier(position, target.start, target.end);
return target_multipliers[i] * edge_mult;
}
}
// Off-target position: return the off-target fraction directly as the
// multiplier (caller multiplies this by mean_coverage).
self.off_target_fraction
}
/// Sample one multiplier per target region, returned in the same order as
/// `self.target_regions`.
///
/// Targets that have a fixed depth in `target_depths` use that value
/// directly. All others are sampled from LogNormal.
pub fn sample_all_target_multipliers<R: Rng>(&self, rng: &mut R) -> Vec<f64> {
(0..self.target_regions.len())
.map(|i| self.sample_target_multiplier_at(i, rng))
.collect()
}
}
// ---------------------------------------------------------------------------
// Tests
// ---------------------------------------------------------------------------
#[cfg(test)]
mod tests {
use super::*;
use rand::rngs::StdRng;
use rand::SeedableRng;
fn make_regions() -> Vec<Region> {
vec![
Region::new("chr1", 0, 500),
Region::new("chr1", 1000, 1500),
Region::new("chr2", 0, 300),
]
}
// -----------------------------------------------------------------------
// 1. test_uniform_targets
// uniformity=0 must give multiplier 1.0 for every target.
// -----------------------------------------------------------------------
#[test]
fn test_uniform_targets() {
let model = CaptureModel::new(make_regions(), vec![], 0.2, 0.0, 0, "panel".to_string());
let mut rng = StdRng::seed_from_u64(1);
// Draw many multipliers – they must all be exactly 1.0.
for _ in 0..200 {
let m = model.sample_target_multiplier(&mut rng);
assert_eq!(m, 1.0, "uniformity=0 should give multiplier 1.0, got {m}");
}
}
// -----------------------------------------------------------------------
// 2. test_variable_targets
// uniformity>0 must produce a spread of multipliers across targets.
// -----------------------------------------------------------------------
#[test]
fn test_variable_targets() {
let model = CaptureModel::new(make_regions(), vec![], 0.2, 0.5, 0, "panel".to_string());
let mut rng = StdRng::seed_from_u64(2);
let multipliers: Vec<f64> = (0..500)
.map(|_| model.sample_target_multiplier(&mut rng))
.collect();
let min = multipliers.iter().cloned().fold(f64::INFINITY, f64::min);
let max = multipliers
.iter()
.cloned()
.fold(f64::NEG_INFINITY, f64::max);
// With σ=0.5, the distribution has a coefficient of variation > 50%.
// The range across 500 samples should be substantial (at least 2×).
assert!(
max / min > 2.0,
"expected variable coverage (max/min > 2.0), got min={min:.3} max={max:.3}"
);
// The geometric mean should be close to 1.0 (since μ=0 in log-space).
let log_mean: f64 =
multipliers.iter().map(|x| x.ln()).sum::<f64>() / multipliers.len() as f64;
assert!(
log_mean.abs() < 0.15,
"geometric mean should be near 1.0 (log mean near 0), got {log_mean:.4}"
);
}
// -----------------------------------------------------------------------
// 3. test_edge_dropoff
// Coverage decreases at target boundaries.
// -----------------------------------------------------------------------
#[test]
fn test_edge_dropoff() {
let dropoff_bases = 50u32;
let model = CaptureModel::new(
make_regions(),
vec![],
0.2,
0.0,
dropoff_bases,
"panel".to_string(),
);
let target_start = 0u64;
let target_end = 500u64;
// Interior position: should be 1.0.
let interior = model.edge_multiplier(250, target_start, target_end);
assert_eq!(interior, 1.0, "interior multiplier should be 1.0");
// Position right at the start boundary: distance from edge = 0.
let at_edge = model.edge_multiplier(0, target_start, target_end);
assert!(
at_edge < 0.5,
"multiplier at edge should be < 0.5, got {at_edge:.4}"
);
// Coverage should increase monotonically as we move away from the edge.
let m0 = model.edge_multiplier(0, target_start, target_end);
let m10 = model.edge_multiplier(10, target_start, target_end);
let m30 = model.edge_multiplier(30, target_start, target_end);
let m60 = model.edge_multiplier(60, target_start, target_end);
assert!(
m0 < m10,
"coverage should increase moving away from edge: m0={m0:.4} m10={m10:.4}"
);
assert!(
m10 < m30,
"coverage should increase moving away from edge: m10={m10:.4} m30={m30:.4}"
);
assert!(
m30 < m60,
"coverage should continue increasing past edge zone: m30={m30:.4} m60={m60:.4}"
);
assert_eq!(
m60, 1.0,
"position beyond edge_dropoff_bases should have multiplier 1.0"
);
}
// -----------------------------------------------------------------------
// 4. test_off_target_reads
// Off-target fraction approximately correct.
// -----------------------------------------------------------------------
#[test]
fn test_off_target_reads() {
let off_target_fraction = 0.2_f64;
let model = CaptureModel::new(
make_regions(),
vec![],
off_target_fraction,
0.0,
0,
"panel".to_string(),
);
let mean_coverage = 100.0_f64;
// Simulate a mix of on-target and off-target positions.
// We probe positions on chr3 (not in targets) – all off-target.
let mut rng = StdRng::seed_from_u64(4);
let multipliers = model.sample_all_target_multipliers(&mut rng);
let off_target_cov = model.off_target_coverage(mean_coverage);
let on_target_cov = model.on_target_coverage(mean_coverage, 1.0, 1.0);
// Off-target coverage must equal mean * off_target_fraction.
let expected_off = mean_coverage * off_target_fraction;
assert!(
(off_target_cov - expected_off).abs() < 1e-9,
"off-target coverage should be {expected_off:.2}, got {off_target_cov:.2}"
);
// On-target coverage (with uniform multiplier=1, no edge) should be mean.
assert!(
(on_target_cov - mean_coverage).abs() < 1e-9,
"on-target coverage should equal mean {mean_coverage:.2}, got {on_target_cov:.2}"
);
// coverage_multiplier_at for an off-target position (chr3) should return off_target_fraction.
let off_mult = model.coverage_multiplier_at("chr3", 0, &multipliers);
assert!(
(off_mult - off_target_fraction).abs() < 1e-9,
"off-target multiplier should be {off_target_fraction:.3}, got {off_mult:.6}"
);
}
// -----------------------------------------------------------------------
// 5. test_no_capture
// With uniformity=0, no edge dropoff, and off_target_fraction=1.0,
// every position (on- or off-target) gets the same multiplier (1.0),
// simulating uniform coverage – equivalent to capture being disabled.
// -----------------------------------------------------------------------
#[test]
fn test_no_capture() {
// off_target_fraction=1.0 means off-target positions get full coverage.
// uniformity=0 means all targets get multiplier 1.0.
// edge_dropoff_bases=0 means no edge effect.
let regions = make_regions();
let n = regions.len();
let model = CaptureModel::new(regions, vec![], 1.0, 0.0, 0, "panel".to_string());
let mut rng = StdRng::seed_from_u64(5);
let multipliers = model.sample_all_target_multipliers(&mut rng);
assert_eq!(multipliers.len(), n);
// All on-target multipliers should be 1.0.
for &m in &multipliers {
assert_eq!(m, 1.0, "no-capture mode: expected multiplier 1.0, got {m}");
}
// Off-target positions should also get multiplier 1.0.
let off = model.coverage_multiplier_at("chr99", 0, &multipliers);
assert_eq!(
off, 1.0,
"no-capture off-target should also be 1.0, got {off}"
);
// All on-target positions (interior) should be 1.0.
let on = model.coverage_multiplier_at("chr1", 250, &multipliers);
assert_eq!(on, 1.0, "no-capture on-target should be 1.0, got {on}");
}
}