use crate::indicators::metadata::{IndicatorMetadata, ParamDef};
use crate::indicators::smoothing::SMA;
use crate::traits::Next;
#[derive(Debug, Clone)]
pub struct MAD {
short_sma: SMA,
long_sma: SMA,
}
impl MAD {
pub fn new(short_period: usize, long_period: usize) -> Self {
Self {
short_sma: SMA::new(short_period),
long_sma: SMA::new(long_period),
}
}
}
impl Next<f64> for MAD {
type Output = f64;
fn next(&mut self, input: f64) -> Self::Output {
let s = self.short_sma.next(input);
let l = self.long_sma.next(input);
if l != 0.0 {
100.0 * (s - l) / l
} else {
0.0
}
}
}
pub const MAD_METADATA: IndicatorMetadata = IndicatorMetadata {
name: "MAD",
description: "Moving Average Difference: 100 * (SMA(short) - SMA(long)) / SMA(long)",
params: &[
ParamDef {
name: "short_period",
default: "8",
description: "Short-term SMA period",
},
ParamDef {
name: "long_period",
default: "23",
description: "Long-term SMA period",
},
],
formula_source: "https://github.com/lavs9/quantwave/blob/main/references/traderstipsreference/TRADERS’ TIPS - OCTOBER 2021.html",
formula_latex: r#"
\[
MAD = 100 \times \frac{SMA(short) - SMA(long)}{SMA(long)}
\]
"#,
gold_standard_file: "mad.json",
category: "Ehlers DSP",
};
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::Next;
use crate::test_utils::{load_gold_standard, assert_indicator_parity};
use proptest::prelude::*;
#[test]
fn test_mad_gold_standard() {
let case = load_gold_standard("mad");
let mad = MAD::new(8, 23);
assert_indicator_parity(mad, &case.input, &case.expected);
}
#[test]
fn test_mad_basic() {
let mut mad = MAD::new(5, 10);
let inputs = vec![10.0, 11.0, 12.0, 13.0, 14.0, 15.0];
for input in inputs {
let res = mad.next(input);
assert!(!res.is_nan());
}
}
proptest! {
#[test]
fn test_mad_parity(
inputs in prop::collection::vec(1.0..100.0, 20..100),
) {
let short = 8;
let long = 23;
let mut mad = MAD::new(short, long);
let streaming_results: Vec<f64> = inputs.iter().map(|&x| mad.next(x)).collect();
let mut batch_results = Vec::with_capacity(inputs.len());
for i in 0..inputs.len() {
let s_sum: f64 = inputs[(i.saturating_sub(short - 1))..=i].iter().sum();
let l_sum: f64 = inputs[(i.saturating_sub(long - 1))..=i].iter().sum();
let s_count = (i + 1).min(short);
let l_count = (i + 1).min(long);
let s = s_sum / s_count as f64;
let l = l_sum / l_count as f64;
let res = if l != 0.0 {
100.0 * (s - l) / l
} else {
0.0
};
batch_results.push(res);
}
for (s, b) in streaming_results.iter().zip(batch_results.iter()) {
approx::assert_relative_eq!(s, b, epsilon = 1e-10);
}
}
}
}