use std::collections::HashMap; use statrs::distribution::{ChiSquared, ContinuousCDF}; use crate::Onod; impl Onod { /// ChiByte randomness test /// Evaluates the uniformity of byte values across the data and returns a p-value. pub fn chi_byte(samples: &[u8]) -> (f64, f64, f64) { if samples.is_empty() { return (-1.0, 0.0, 1.0); // Default to perfect randomness for empty data } // Count occurrences of each byte value (0-255) let mut counts = HashMap::new(); for &byte in samples { *counts.entry(byte).or_insert(0) += 1; } // Calculate expected count assuming uniform distribution let expected_count = samples.len() as f64 / 256.0; // Calculate chi-squared statistic let mut chi_squared_stat = 0.0; for i in 0..256 { let observed = *counts.get(&(i as u8)).unwrap_or(&0) as f64; let diff = observed - expected_count; chi_squared_stat += (diff * diff) / expected_count; } // Use chi-squared distribution to calculate p-value let degrees_of_freedom = 256.0 - 1.0; // 256 possible byte values - 1 let chi_squared_dist = ChiSquared::new(degrees_of_freedom).expect("Failed to create ChiSquared distribution"); let p_value = 1.0 - chi_squared_dist.cdf(chi_squared_stat); // Z-score calculation (standardization of the chi-squared statistic) let mean = degrees_of_freedom; // Mean of the chi-squared distribution let std_dev = (2.0 * degrees_of_freedom).sqrt(); // Standard deviation of the chi-squared distribution let z_score = (chi_squared_stat - mean) / std_dev; (chi_squared_stat, z_score, p_value) } }