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//! Per-row cross-sectional selection and transforms:
//! `is_largest`/`is_smallest` pick the top/bottom `n` non-NaN cells in each row.
//! NaN is never selected; ties keep original column order (Rust's stable `sort_by`).
//! Preprocess toolkit: `winsorize`, `zscore`, `bucket`, `demean` (all NaN-aware).
use crate::panel::{bool_to_f64, Panel};
use ndarray::Array2;
/// Linear-interpolation quantile of a **sorted** non-empty slice (pandas default).
fn sorted_quantile(sorted: &[f64], q: f64) -> f64 {
let pos = q.clamp(0.0, 1.0) * (sorted.len() as f64 - 1.0);
let lo = pos.floor() as usize;
let hi = pos.ceil() as usize;
let frac = pos - lo as f64;
sorted[lo] * (1.0 - frac) + sorted[hi] * frac
}
impl Panel {
fn top_n(&self, n: usize, largest: bool) -> Panel {
let (nrows, ncols) = self.data.dim();
let mut out = Array2::from_elem((nrows, ncols), 0.0);
for r in 0..nrows {
// valid (col, value) pairs
let mut valid: Vec<(usize, f64)> = (0..ncols)
.filter_map(|c| {
let v = self.data[[r, c]];
if v.is_nan() {
None
} else {
Some((c, v))
}
})
.collect();
if n == 0 {
continue;
}
if valid.len() <= n {
for (c, _) in valid {
out[[r, c]] = 1.0;
}
continue;
}
// stable sort: by value (desc for largest / asc for smallest),
// ties keep original column order (already ascending by c).
valid.sort_by(|a, b| {
let ord = a.1.partial_cmp(&b.1).unwrap();
if largest {
ord.reverse()
} else {
ord
}
});
for &(c, _) in valid.iter().take(n) {
out[[r, c]] = 1.0;
}
}
// ensure exactly bool-valued
let data = out.mapv(|x| bool_to_f64(x == 1.0));
Panel {
dates: self.dates.clone(),
symbols: self.symbols.clone(),
data,
}
}
pub fn is_largest(&self, n: usize) -> Panel {
self.top_n(n, true)
}
pub fn is_smallest(&self, n: usize) -> Panel {
self.top_n(n, false)
}
}
#[cfg(test)]
mod tests {
use crate::panel::Panel;
#[test]
fn nan_never_selected_and_ties_pick_earlier_column() {
let p = Panel::from_rows(
vec![20240102],
vec!["A".into(), "B".into(), "C".into()],
vec![vec![5.0, 5.0, f64::NAN]],
)
.unwrap();
let r = p.is_largest(1);
assert_eq!(r.data[[0, 0]], 1.0); // A wins tie (earlier column)
assert_eq!(r.data[[0, 1]], 0.0);
assert_eq!(r.data[[0, 2]], 0.0); // NaN never selected
}
}
impl Panel {
/// Scale each row so gross weight sums to 1: `w[c] / Σ|w[row]|` over the
/// row's non-NaN cells. NaN cells stay NaN; a row whose gross sum is 0 (or
/// all-NaN) is left unchanged. Turns a raw signal into explicit portfolio
/// weights — e.g. `normalize_row(sig / std(close, 20))` is inverse-vol
/// weighting.
pub fn normalize_row(&self) -> Panel {
let (nrows, ncols) = self.data.dim();
let mut data = self.data.clone();
for r in 0..nrows {
let total: f64 = (0..ncols)
.map(|c| data[[r, c]])
.filter(|v| !v.is_nan())
.map(f64::abs)
.sum();
if total > 0.0 {
for c in 0..ncols {
data[[r, c]] /= total;
}
}
}
Panel {
dates: self.dates.clone(),
symbols: self.symbols.clone(),
data,
}
}
/// Per-row winsorize: clip each finite value to the empirical `[lower, upper]`
/// quantiles of that row (linear interpolation, same as `quantile_row`).
/// `lower`/`upper` are clamped to `[0, 1]`; if `lower > upper` they are swapped.
/// NaN stays NaN; empty rows stay all-NaN.
pub fn winsorize(&self, lower: f64, upper: f64) -> Panel {
let (lo_q, hi_q) = if lower <= upper {
(lower.clamp(0.0, 1.0), upper.clamp(0.0, 1.0))
} else {
(upper.clamp(0.0, 1.0), lower.clamp(0.0, 1.0))
};
let (nrows, ncols) = self.data.dim();
let mut data = self.data.clone();
for r in 0..nrows {
let mut vals: Vec<f64> = (0..ncols)
.map(|c| data[[r, c]])
.filter(|v| !v.is_nan())
.collect();
if vals.is_empty() {
continue;
}
vals.sort_by(|a, b| a.partial_cmp(b).unwrap());
let lo = sorted_quantile(&vals, lo_q);
let hi = sorted_quantile(&vals, hi_q);
for c in 0..ncols {
let v = data[[r, c]];
if !v.is_nan() {
data[[r, c]] = v.clamp(lo, hi);
}
}
}
Panel {
dates: self.dates.clone(),
symbols: self.symbols.clone(),
data,
}
}
/// Per-row z-score: `(x − mean) / std` over non-NaN cells, **population** std
/// (`ddof = 0`). Empty rows stay NaN. When `std == 0` (constant finite row),
/// finite cells become `0.0`.
pub fn zscore(&self) -> Panel {
let (nrows, ncols) = self.data.dim();
let mut data = Array2::from_elem((nrows, ncols), f64::NAN);
for r in 0..nrows {
let vals: Vec<f64> = (0..ncols)
.map(|c| self.data[[r, c]])
.filter(|v| !v.is_nan())
.collect();
if vals.is_empty() {
continue;
}
let n = vals.len() as f64;
let mean = vals.iter().sum::<f64>() / n;
let var = vals.iter().map(|v| (v - mean) * (v - mean)).sum::<f64>() / n;
let std = var.sqrt();
for c in 0..ncols {
let v = self.data[[r, c]];
if v.is_nan() {
continue;
}
data[[r, c]] = if std == 0.0 { 0.0 } else { (v - mean) / std };
}
}
Panel {
dates: self.dates.clone(),
symbols: self.symbols.clone(),
data,
}
}
/// Per-row quantile buckets labeled **1..=n** (NaN stays NaN). Uses average
/// ranks for ties (same as `rank_cs`), then
/// `bucket = floor((rank − 1) / count * n) + 1` capped at `n`.
/// `n == 0` or empty rows → all NaN.
pub fn bucket(&self, n: usize) -> Panel {
let (nrows, ncols) = self.data.dim();
let mut data = Array2::from_elem((nrows, ncols), f64::NAN);
if n == 0 {
return Panel {
dates: self.dates.clone(),
symbols: self.symbols.clone(),
data,
};
}
for r in 0..nrows {
let mut valid: Vec<(usize, f64)> = (0..ncols)
.filter_map(|c| {
let v = self.data[[r, c]];
if v.is_nan() {
None
} else {
Some((c, v))
}
})
.collect();
if valid.is_empty() {
continue;
}
valid.sort_by(|a, b| a.1.partial_cmp(&b.1).unwrap());
let count = valid.len() as f64;
let mut i = 0usize;
while i < valid.len() {
let mut j = i + 1;
while j < valid.len() && valid[j].1 == valid[i].1 {
j += 1;
}
// average 1-based ranks for the tie group
let avg_rank = ((i + 1 + j) as f64) / 2.0;
let mut b = ((avg_rank - 1.0) / count * n as f64).floor() as usize + 1;
if b > n {
b = n;
}
if b == 0 {
b = 1;
}
for k in i..j {
data[[r, valid[k].0]] = b as f64;
}
i = j;
}
}
Panel {
dates: self.dates.clone(),
symbols: self.symbols.clone(),
data,
}
}
/// Per-row demean: subtract the mean of non-NaN cells. NaN stays NaN; empty
/// rows stay all-NaN.
pub fn demean(&self) -> Panel {
let (nrows, ncols) = self.data.dim();
let mut data = self.data.clone();
for r in 0..nrows {
let mut sum = 0.0;
let mut count = 0usize;
for c in 0..ncols {
let v = data[[r, c]];
if !v.is_nan() {
sum += v;
count += 1;
}
}
if count == 0 {
continue;
}
let mean = sum / count as f64;
for c in 0..ncols {
if !data[[r, c]].is_nan() {
data[[r, c]] -= mean;
}
}
}
Panel {
dates: self.dates.clone(),
symbols: self.symbols.clone(),
data,
}
}
}
#[cfg(test)]
mod normalize_row_tests {
use crate::panel::Panel;
use ndarray::array;
#[test]
fn scales_rows_to_unit_gross_preserving_nan_and_zero_rows() {
let p = Panel::new(
vec![20240102, 20240103, 20240104],
vec!["A".into(), "B".into(), "C".into()],
array![
[1.0, 3.0, f64::NAN], // gross 4 -> 0.25, 0.75, NaN
[-1.0, 1.0, 2.0], // gross 4 -> -0.25, 0.25, 0.5 (long/short)
[0.0, 0.0, f64::NAN] // gross 0 -> unchanged
],
)
.unwrap();
let n = p.normalize_row();
assert_eq!(n.data[[0, 0]], 0.25);
assert_eq!(n.data[[0, 1]], 0.75);
assert!(n.data[[0, 2]].is_nan());
assert_eq!(n.data[[1, 0]], -0.25);
assert_eq!(n.data[[1, 2]], 0.5);
assert_eq!(n.data[[2, 0]], 0.0);
assert!(n.data[[2, 2]].is_nan());
}
}
#[cfg(test)]
mod cs_preprocess_tests {
use crate::panel::Panel;
use ndarray::array;
fn row3(a: f64, b: f64, c: f64) -> Panel {
Panel::new(
vec![20240102],
vec!["A".into(), "B".into(), "C".into()],
array![[a, b, c]],
)
.unwrap()
}
#[test]
fn demean_subtracts_row_mean_preserves_nan() {
let p = row3(1.0, 3.0, f64::NAN);
let d = p.demean();
assert!((d.data[[0, 0]] - (-1.0)).abs() < 1e-12); // mean 2
assert!((d.data[[0, 1]] - 1.0).abs() < 1e-12);
assert!(d.data[[0, 2]].is_nan());
}
#[test]
fn zscore_zero_std_is_zero_and_empty_is_nan() {
let flat = row3(5.0, 5.0, 5.0);
let z = flat.zscore();
assert_eq!(z.data[[0, 0]], 0.0);
assert_eq!(z.data[[0, 1]], 0.0);
let empty = row3(f64::NAN, f64::NAN, f64::NAN);
let ze = empty.zscore();
assert!(ze.data[[0, 0]].is_nan());
}
#[test]
fn zscore_matches_population_definition() {
// values 1,2,3 mean=2, var=((1)+(0)+(1))/3=2/3, std=sqrt(2/3)
let p = row3(1.0, 2.0, 3.0);
let z = p.zscore();
let s = (2.0f64 / 3.0).sqrt();
assert!((z.data[[0, 0]] - (1.0 - 2.0) / s).abs() < 1e-12);
assert!((z.data[[0, 1]] - 0.0).abs() < 1e-12);
assert!((z.data[[0, 2]] - (3.0 - 2.0) / s).abs() < 1e-12);
}
#[test]
fn winsorize_clips_to_empirical_quantiles() {
// 1,2,3,4,100 — lower=0 upper=0.5 clips high end toward median
let p = Panel::new(
vec![20240102],
vec!["A".into(), "B".into(), "C".into(), "D".into(), "E".into()],
array![[1.0, 2.0, 3.0, 4.0, 100.0]],
)
.unwrap();
let w = p.winsorize(0.0, 0.5);
// q0.5 of [1,2,3,4,100] = 3
assert_eq!(w.data[[0, 0]], 1.0);
assert_eq!(w.data[[0, 4]], 3.0);
}
#[test]
fn bucket_labels_one_through_n() {
let p = Panel::new(
vec![20240102],
vec!["A".into(), "B".into(), "C".into(), "D".into()],
array![[1.0, 2.0, 3.0, 4.0]],
)
.unwrap();
let b = p.bucket(2);
// ranks 1,2,3,4 → buckets floor((r-1)/4*2)+1 → 1,1,2,2
assert_eq!(b.data[[0, 0]], 1.0);
assert_eq!(b.data[[0, 1]], 1.0);
assert_eq!(b.data[[0, 2]], 2.0);
assert_eq!(b.data[[0, 3]], 2.0);
}
}