use super::*;
use crate::primitives::Matrix;
#[test]
fn falsify_knn_001_predictions_in_label_range() {
let x = Matrix::from_vec(
6,
2,
vec![0.0, 0.0, 0.5, 0.5, 1.0, 0.0, 5.0, 5.0, 5.5, 5.5, 6.0, 5.0],
)
.expect("valid");
let y = vec![0_usize, 0, 0, 1, 1, 1];
let mut knn = KNearestNeighbors::new(3);
knn.fit(&x, &y).expect("fit");
let preds = knn.predict(&x).expect("predict");
for (i, &p) in preds.iter().enumerate() {
assert!(
p <= 1,
"FALSIFIED KNN-001: prediction[{i}] = {p}, not in {{0, 1}}"
);
}
}
#[test]
fn falsify_knn_002_prediction_count() {
let x = Matrix::from_vec(
6,
2,
vec![0.0, 0.0, 0.5, 0.5, 1.0, 0.0, 5.0, 5.0, 5.5, 5.5, 6.0, 5.0],
)
.expect("valid");
let y = vec![0_usize, 0, 0, 1, 1, 1];
let mut knn = KNearestNeighbors::new(3);
knn.fit(&x, &y).expect("fit");
let x_test = Matrix::from_vec(3, 2, vec![0.2, 0.2, 3.0, 3.0, 5.8, 5.8]).expect("valid");
let preds = knn.predict(&x_test).expect("predict");
assert_eq!(
preds.len(),
3,
"FALSIFIED KNN-002: {} predictions for 3 inputs",
preds.len()
);
}
#[test]
fn falsify_knn_003_separable_data() {
let x = Matrix::from_vec(
6,
2,
vec![
0.0, 0.0, 0.1, 0.1, 0.2, 0.2, 100.0, 100.0, 100.1, 100.1, 100.2, 100.2,
],
)
.expect("valid");
let y = vec![0_usize, 0, 0, 1, 1, 1];
let mut knn = KNearestNeighbors::new(3);
knn.fit(&x, &y).expect("fit");
let preds = knn.predict(&x).expect("predict");
assert_eq!(
preds, y,
"FALSIFIED KNN-003: KNN cannot classify well-separated clusters"
);
}
#[test]
fn falsify_knn_004_deterministic() {
let x = Matrix::from_vec(4, 2, vec![0.0, 0.0, 1.0, 1.0, 5.0, 5.0, 6.0, 6.0]).expect("valid");
let y = vec![0_usize, 0, 1, 1];
let mut knn = KNearestNeighbors::new(1);
knn.fit(&x, &y).expect("fit");
let p1 = knn.predict(&x).expect("predict 1");
let p2 = knn.predict(&x).expect("predict 2");
assert_eq!(
p1, p2,
"FALSIFIED KNN-004: predictions differ on same input"
);
}
mod knn_proptest_falsify {
use super::*;
use proptest::prelude::*;
proptest! {
#![proptest_config(ProptestConfig::with_cases(15))]
#[test]
fn falsify_knn_002_prop_prediction_count(
n_train in 6..=12usize,
n_test in 3..=8usize,
seed in 0..200u32,
) {
let mut x_data = Vec::with_capacity(n_train * 2);
let mut y_data = Vec::with_capacity(n_train);
let half = n_train / 2;
for i in 0..half {
let offset = (seed as f32 + i as f32) * 0.01;
x_data.push(0.0 + offset);
x_data.push(0.0 + offset);
y_data.push(0_usize);
}
for i in 0..(n_train - half) {
let offset = (seed as f32 + i as f32) * 0.01;
x_data.push(10.0 + offset);
x_data.push(10.0 + offset);
y_data.push(1_usize);
}
let x = Matrix::from_vec(n_train, 2, x_data).expect("valid");
let mut knn = KNearestNeighbors::new(3.min(half));
knn.fit(&x, &y_data).expect("fit");
let x_test_data: Vec<f32> = (0..n_test * 2)
.map(|i| ((i as f32 + seed as f32) * 0.37).sin() * 5.0 + 5.0)
.collect();
let x_test = Matrix::from_vec(n_test, 2, x_test_data).expect("valid");
let preds = knn.predict(&x_test).expect("predict");
prop_assert_eq!(
preds.len(),
n_test,
"FALSIFIED KNN-002-prop: {} predictions for {} inputs",
preds.len(), n_test
);
}
}
proptest! {
#![proptest_config(ProptestConfig::with_cases(15))]
#[test]
fn falsify_knn_004_prop_deterministic(
seed in 0..200u32,
) {
let x = Matrix::from_vec(
6, 2,
vec![0.0, 0.0, 0.5, 0.5, 1.0, 0.0,
5.0, 5.0, 5.5, 5.5, 6.0, 5.0],
).expect("valid");
let y = vec![0_usize, 0, 0, 1, 1, 1];
let k = ((seed % 3) + 1) as usize;
let mut knn = KNearestNeighbors::new(k);
knn.fit(&x, &y).expect("fit");
let p1 = knn.predict(&x).expect("predict 1");
let p2 = knn.predict(&x).expect("predict 2");
prop_assert_eq!(
p1, p2,
"FALSIFIED KNN-004-prop: predictions differ (k={})",
k
);
}
}
}