use crate::indicators::metadata::{IndicatorMetadata, ParamDef};
use crate::traits::Next;
use crate::indicators::high_pass::HighPass;
use std::collections::VecDeque;
#[derive(Debug, Clone)]
pub struct FisherHighPass {
hp: HighPass,
period: usize,
hp_window: VecDeque<f64>,
smooth_history: [f64; 2],
count: usize,
}
impl FisherHighPass {
pub fn new(hp_len: usize, norm_len: usize) -> Self {
Self {
hp: HighPass::new(hp_len),
period: norm_len,
hp_window: VecDeque::with_capacity(norm_len),
smooth_history: [0.0; 2],
count: 0,
}
}
}
impl Default for FisherHighPass {
fn default() -> Self {
Self::new(20, 20)
}
}
impl Next<f64> for FisherHighPass {
type Output = f64;
fn next(&mut self, input: f64) -> Self::Output {
self.count += 1;
let hp_val = self.hp.next(input);
self.hp_window.push_front(hp_val);
if self.hp_window.len() > self.period {
self.hp_window.pop_back();
}
if self.hp_window.len() < self.period {
return 0.0;
}
let mut high = f64::MIN;
let mut low = f64::MAX;
for &v in &self.hp_window {
if v > high { high = v; }
if v < low { low = v; }
}
let normalized = if high != low {
2.0 * (hp_val - low) / (high - low) - 1.0
} else {
0.0
};
let smoothed = (normalized + self.smooth_history[0] + self.smooth_history[1]) / 3.0;
self.smooth_history[1] = self.smooth_history[0];
self.smooth_history[0] = normalized;
let x = smoothed.clamp(-0.999, 0.999);
0.5 * ((1.0 + x) / (1.0 - x)).ln()
}
}
pub const FISHER_HIGH_PASS_METADATA: IndicatorMetadata = IndicatorMetadata {
name: "FisherHighPass",
description: "Fisher Transform applied to normalized HighPass filtered prices.",
usage: "Use to isolate high-frequency momentum from the cyclical component of price after trend removal. Provides a purer momentum signal than standard Fisher Transform applied to raw price.",
keywords: &["oscillator", "ehlers", "dsp", "high-pass", "momentum"],
ehlers_summary: "FisherHighPass applies the Fisher Transform to the high-pass filtered price rather than raw price. By first removing the low-frequency trend component with a high-pass filter, the resulting Fisher output captures only the cycle-domain momentum, producing an oscillator that is unaffected by the prevailing trend direction.",
params: &[
ParamDef {
name: "hp_len",
default: "20",
description: "HighPass filter length",
},
ParamDef {
name: "norm_len",
default: "20",
description: "Normalization lookback period",
},
],
formula_source: "https://github.com/lavs9/quantwave/blob/main/references/Ehlers%20Papers/InferringTradingStrategies.pdf",
formula_latex: r#"
\[
HP = \text{HighPass}(Price, hp\_len)
\]
\[
N = 2 \cdot \frac{HP - Low(HP, norm\_len)}{High(HP, norm\_len) - Low(HP, norm\_len)} - 1
\]
\[
S = \frac{N + N_{t-1} + N_{t-2}}{3}
\]
\[
Fisher = 0.5 \cdot \ln\left(\frac{1+S}{1-S}\right)
\]
"#,
gold_standard_file: "fisher_high_pass.json",
category: "Ehlers DSP",
};
#[cfg(test)]
mod tests {
use super::*;
use crate::traits::Next;
use proptest::prelude::*;
#[test]
fn test_fisher_hp_basic() {
let mut fhp = FisherHighPass::new(20, 20);
for i in 0..100 {
let val = fhp.next(100.0 + (i as f64 * 0.1).sin());
assert!(!val.is_nan());
}
}
proptest! {
#[test]
fn test_fisher_hp_parity(
inputs in prop::collection::vec(1.0..100.0, 100..200),
) {
let hp_len = 20;
let norm_len = 20;
let mut fhp = FisherHighPass::new(hp_len, norm_len);
let streaming_results: Vec<f64> = inputs.iter().map(|&x| fhp.next(x)).collect();
let mut batch_results = Vec::with_capacity(inputs.len());
let mut hp = HighPass::new(hp_len);
let hp_vals: Vec<f64> = inputs.iter().map(|&x| hp.next(x)).collect();
let mut norm_vals = Vec::new();
for i in 0..hp_vals.len() {
let start = if i >= norm_len - 1 { i + 1 - norm_len } else { 0 };
let window = &hp_vals[start..i + 1];
if window.len() < norm_len {
batch_results.push(0.0);
norm_vals.push(0.0);
continue;
}
let mut high = f64::MIN;
let mut low = f64::MAX;
for &v in window {
if v > high { high = v; }
if v < low { low = v; }
}
let n = if high != low {
2.0 * (hp_vals[i] - low) / (high - low) - 1.0
} else {
0.0
};
norm_vals.push(n);
let s = (norm_vals[i] + (if i > 0 { norm_vals[i-1] } else { 0.0 }) + (if i > 1 { norm_vals[i-2] } else { 0.0 })) / 3.0;
let x = s.clamp(-0.999, 0.999);
batch_results.push(0.5 * ((1.0 + x) / (1.0 - x)).ln());
}
for (s, b) in streaming_results.iter().zip(batch_results.iter()) {
approx::assert_relative_eq!(s, b, epsilon = 1e-10);
}
}
}
}