use crate::error::FinError;
use crate::signals::{BarInput, Signal, SignalValue};
use rust_decimal::Decimal;
use std::collections::VecDeque;
pub struct FractalDimensionIndex {
name: String,
period: usize,
closes: VecDeque<f64>,
}
impl FractalDimensionIndex {
pub fn new(name: impl Into<String>, period: usize) -> Result<Self, FinError> {
if period < 2 {
return Err(FinError::InvalidPeriod(period));
}
Ok(Self { name: name.into(), period, closes: VecDeque::with_capacity(period) })
}
}
impl Signal for FractalDimensionIndex {
fn name(&self) -> &str {
&self.name
}
fn update(&mut self, bar: &BarInput) -> Result<SignalValue, FinError> {
use rust_decimal::prelude::ToPrimitive;
let c = bar.close.to_f64().unwrap_or(0.0);
self.closes.push_back(c);
if self.closes.len() > self.period {
self.closes.pop_front();
}
if self.closes.len() < self.period {
return Ok(SignalValue::Unavailable);
}
let mut l1 = 0.0_f64;
let mut iter = self.closes.iter().peekable();
let mut prev = *iter.next().unwrap();
for &cur in iter {
l1 += (cur - prev).abs();
prev = cur;
}
let max_c = self.closes.iter().cloned().fold(f64::NEG_INFINITY, f64::max);
let min_c = self.closes.iter().cloned().fold(f64::INFINITY, f64::min);
let l2 = max_c - min_c;
if l1 <= 0.0 {
return Decimal::try_from(1.0_f64)
.map(SignalValue::Scalar)
.map_err(|_| FinError::ArithmeticOverflow);
}
if l2 <= 0.0 {
return Decimal::try_from(1.0_f64)
.map(SignalValue::Scalar)
.map_err(|_| FinError::ArithmeticOverflow);
}
let fdi = 1.0 + (l1.ln() - l2.ln()) / (self.period as f64 - 1.0).ln();
let fdi = fdi.clamp(1.0, 2.0);
Decimal::try_from(fdi)
.map(SignalValue::Scalar)
.map_err(|_| FinError::ArithmeticOverflow)
}
fn is_ready(&self) -> bool {
self.closes.len() >= self.period
}
fn period(&self) -> usize {
self.period
}
fn reset(&mut self) {
self.closes.clear();
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::ohlcv::OhlcvBar;
use crate::signals::Signal;
use crate::types::{NanoTimestamp, Price, Quantity, Symbol};
use rust_decimal_macros::dec;
fn bar(close: &str) -> OhlcvBar {
let p = Price::new(close.parse().unwrap()).unwrap();
OhlcvBar {
symbol: Symbol::new("X").unwrap(),
open: p,
high: p,
low: p,
close: p,
volume: Quantity::zero(),
ts_open: NanoTimestamp::new(0),
ts_close: NanoTimestamp::new(1),
tick_count: 1,
}
}
#[test]
fn test_period_too_small_fails() {
assert!(matches!(
FractalDimensionIndex::new("fdi", 1),
Err(FinError::InvalidPeriod(1))
));
assert!(matches!(
FractalDimensionIndex::new("fdi", 0),
Err(FinError::InvalidPeriod(0))
));
}
#[test]
fn test_unavailable_before_period() {
let mut fdi = FractalDimensionIndex::new("fdi", 5).unwrap();
let v = fdi.update_bar(&bar("10")).unwrap();
assert_eq!(v, SignalValue::Unavailable);
assert!(!fdi.is_ready());
}
#[test]
fn test_ready_after_period() {
let mut fdi = FractalDimensionIndex::new("fdi", 3).unwrap();
fdi.update_bar(&bar("10")).unwrap();
fdi.update_bar(&bar("11")).unwrap();
let v = fdi.update_bar(&bar("12")).unwrap();
assert!(fdi.is_ready());
assert!(matches!(v, SignalValue::Scalar(_)));
}
#[test]
fn test_trending_series_low_fdi() {
let mut fdi = FractalDimensionIndex::new("fdi", 10).unwrap();
for i in 1..=10 {
fdi.update_bar(&bar(&i.to_string())).unwrap();
}
let v = fdi.update_bar(&bar("11")).unwrap();
if let SignalValue::Scalar(s) = v {
assert!(s < dec!(1.5), "FDI = {} should be < 1.5 for trending data", s);
} else {
panic!("expected scalar");
}
}
#[test]
fn test_value_in_range() {
let mut fdi = FractalDimensionIndex::new("fdi", 5).unwrap();
let prices = ["10", "12", "10", "12", "10"];
for p in prices {
fdi.update_bar(&bar(p)).unwrap();
}
let v = fdi.update_bar(&bar("12")).unwrap();
if let SignalValue::Scalar(s) = v {
assert!(s >= dec!(1), "FDI must be >= 1");
assert!(s <= dec!(2), "FDI must be <= 2");
} else {
panic!("expected scalar");
}
}
#[test]
fn test_reset_clears_state() {
let mut fdi = FractalDimensionIndex::new("fdi", 3).unwrap();
fdi.update_bar(&bar("10")).unwrap();
fdi.update_bar(&bar("11")).unwrap();
fdi.update_bar(&bar("12")).unwrap();
assert!(fdi.is_ready());
fdi.reset();
assert!(!fdi.is_ready());
}
}