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use std::fmt;
pub trait StandardlyDistributable<T> {
fn get_standard_distribution(v: Vec<T>) -> Self;
}
pub struct StandardDistribution {
pub mean: f64,
pub deviation: f64
}
impl fmt::Display for StandardDistribution {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
write!(f, "({}, {})", self.mean, self.deviation)
}
}
impl StandardlyDistributable<u32> for StandardDistribution {
fn get_standard_distribution(v: Vec<u32>) -> Self {
let n = f64::from(u32::try_from(v.len()).unwrap());
let summation = f64::from(v.iter().sum::<u32>());
let mean = summation/ n;
let mut deviation = 0.0;
for i in 0..v.len() {
let x_f = f64::from(v[i]);
deviation += x_f * x_f - 2.0 * mean * x_f + mean * mean;
}
deviation /= f64::from(u32::try_from(v.len() - 1).unwrap());
return StandardDistribution { mean, deviation };
}
}
impl StandardlyDistributable<f64> for StandardDistribution {
fn get_standard_distribution(v: Vec<f64>) -> Self {
let summation:f64 = v.iter().sum();
let mean = summation / f64::from(u32::try_from(v.len()).unwrap());
let mut deviation = 0.0;
for i in 0..v.len() {
let x_f = v[i];
deviation += x_f * x_f - 2.0 * mean * x_f + mean * mean;
}
deviation /= f64::from(u32::try_from(v.len() - 1).unwrap());
return StandardDistribution { mean, deviation };
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
pub fn test_sd() {
let expected_mean = 5.0;
let expected_deviation = 7.5;
let line = (1..10).collect();
let s_dist = StandardDistribution::get_standard_distribution(line);
let mean_comparison = expected_mean - s_dist.mean;
let deviation_comparison = expected_deviation - s_dist.deviation;
assert!(mean_comparison < 0.01);
assert!(deviation_comparison < 0.01);
println!("{}", s_dist);
}
}