Chop & Cog

This commit is contained in:
Miha Kralj
2024-11-01 17:54:03 -07:00
parent f0114a368c
commit 7c6b698c9a
8 changed files with 262 additions and 150 deletions
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✔️ *DMI - Directional Movement Index (DI+, DI-)
✔️ DMX - Jurik Directional Movement Index
✔️ DPO - Detrended Price Oscillator
*MACD - Moving Average Convergence/Divergence (MACD, Signal, Histogram)
✔️ *MACD - Moving Average Convergence/Divergence (MACD, Signal, Histogram)
✔️ MOM - Momentum
✔️ PMO - Price Momentum Oscillator
✔️ PO - Price Oscillator
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using System.Runtime.CompilerServices;
namespace QuanTAlib;
/// <summary>
/// CHOP: Choppiness Index
/// A technical indicator that measures the market's trendiness versus choppiness.
/// It helps determine if the market is trending or moving sideways by comparing
/// the total movement to the net directional movement over a period.
/// </summary>
/// <remarks>
/// The CHOP calculation process:
/// 1. Calculate ATR sum over period
/// 2. Calculate total price range over period
/// 3. Scale result to oscillate between 0 and 100
///
/// Key characteristics:
/// - Oscillates between 0 and 100
/// - Values above 61.8 indicate choppy market
/// - Values below 38.2 indicate trending market
/// - Based on ATR and price range
/// - Higher values = more choppy/sideways
/// - Lower values = more trending
///
/// Formula:
/// CHOP = 100 * LOG10(SUM(ATR,n)/(HIGH(n)-LOW(n))) / LOG10(n)
/// where:
/// n = period
/// ATR = Average True Range
/// HIGH(n) = Highest high over period n
/// LOW(n) = Lowest low over period n
///
/// Sources:
/// E.W. Dreiss
/// https://www.tradingview.com/support/solutions/43000501980-choppiness-index/
///
/// Note: Default period is 14
/// </remarks>
[SkipLocalsInit]
public sealed class Chop : AbstractBase
{
private readonly Atr _atr;
private readonly CircularBuffer _highs;
private readonly CircularBuffer _lows;
private readonly CircularBuffer _atrValues;
private readonly double _logPeriod;
private const int DefaultPeriod = 14;
private const double ScalingFactor = 100.0;
/// <param name="period">The number of periods used in the CHOP calculation (default 14).</param>
/// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public Chop(int period = DefaultPeriod)
{
if (period < 1)
throw new ArgumentOutOfRangeException(nameof(period));
_atr = new(period);
_highs = new(period);
_lows = new(period);
_atrValues = new(period);
_logPeriod = Math.Log10(period);
WarmupPeriod = period;
Name = $"CHOP({period})";
}
/// <param name="source">The data source object that publishes updates.</param>
/// <param name="period">The number of periods used in the CHOP calculation.</param>
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public Chop(object source, int period = DefaultPeriod) : this(period)
{
var pubEvent = source.GetType().GetEvent("Pub");
pubEvent?.AddEventHandler(source, new BarSignal(Sub));
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
protected override void ManageState(bool isNew)
{
if (isNew)
_index++;
}
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
protected override double Calculation()
{
ManageState(BarInput.IsNew);
// Calculate ATR and store it
double atr = _atr.Calc(BarInput);
_atrValues.Add(atr, BarInput.IsNew);
// Store high and low prices
_highs.Add(BarInput.High, BarInput.IsNew);
_lows.Add(BarInput.Low, BarInput.IsNew);
// Calculate highest high and lowest low over period
double highestHigh = _highs.Max();
double lowestLow = _lows.Min();
double range = highestHigh - lowestLow;
// Calculate sum of ATR values
double atrSum = _atrValues.Sum();
// Avoid division by zero
if (range < double.Epsilon || _logPeriod < double.Epsilon)
return 0.0;
// Calculate CHOP
return ScalingFactor * Math.Log10(atrSum / range) / _logPeriod;
}
}
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using System.Runtime.CompilerServices;
namespace QuanTAlib;
/// <summary>
/// COG: Ehler's Center of Gravity Oscillator
/// A momentum oscillator that uses the concept of center of gravity from physics
/// to measure price momentum. It calculates a weighted sum where more recent
/// prices have higher weights.
/// </summary>
/// <remarks>
/// The COG calculation process:
/// 1. Calculate weighted sum of prices (numerator)
/// 2. Calculate sum of weights (denominator)
/// 3. Divide to get center of gravity
/// 4. Invert and normalize result
///
/// Key characteristics:
/// - Oscillates around zero
/// - Leading indicator (less lag than traditional momentum)
/// - Positive values indicate upward momentum
/// - Negative values indicate downward momentum
/// - Zero line crossovers signal trend changes
///
/// Formula:
/// COG = -((Σ(Price(i) * i)) / (Σ(Price(i))) - (period + 1)/2)
/// where:
/// i = position in period (1 to period)
/// Price(i) = price at position i
///
/// Sources:
/// John F. Ehlers - "Cybernetic Analysis for Stocks and Futures"
/// https://www.mesasoftware.com/papers/CenterOfGravity.pdf
///
/// Note: Default period is 10
/// </remarks>
[SkipLocalsInit]
public sealed class Cog : AbstractBase
{
private readonly CircularBuffer _prices;
private readonly int _period;
private const int DefaultPeriod = 10;
/// <param name="period">The number of periods used in the COG calculation (default 10).</param>
/// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public Cog(int period = DefaultPeriod)
{
if (period < 1)
throw new ArgumentOutOfRangeException(nameof(period));
_period = period;
_prices = new(period);
WarmupPeriod = period;
Name = $"COG({period})";
}
/// <param name="source">The data source object that publishes updates.</param>
/// <param name="period">The number of periods used in the COG calculation.</param>
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public Cog(object source, int period = DefaultPeriod) : this(period)
{
var pubEvent = source.GetType().GetEvent("Pub");
pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
protected override void ManageState(bool isNew)
{
if (isNew)
_index++;
}
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
protected override double Calculation()
{
ManageState(Input.IsNew);
// Add new price to buffer
_prices.Add(Input.Value, Input.IsNew);
double numerator = 0.0;
double denominator = 0.0;
// Calculate weighted sums
for (int i = 0; i < _prices.Count; i++)
{
double price = _prices[i];
double weight = i + 1;
numerator += price * weight;
denominator += price;
}
// Avoid division by zero
if (Math.Abs(denominator) < double.Epsilon)
return 0.0;
// Calculate center of gravity and normalize
return -((numerator / denominator) - (_period + 1.0) / 2.0);
}
}
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# Oscillators indicators
Done: 6, Todo: 23
Done: 11, Todo: 18
✔️ AC - Acceleration Oscillator
✔️ AO - Awesome Oscillator
✔️ *AROON - Aroon oscillator (Up, Down)
,
CCI - Commodity Channel Index
CFO - Chande Forcast Oscillator
BOP - Balance of Power
✔️ CCI - Commodity Channel Index
✔️ CFO - Chande Forcast Oscillator
✔️ CMO - Chande Momentum Oscillator
CHOP - Choppiness Index
COG - Ehler's Center of Gravity
✔️ CHOP - Choppiness Index
✔️ COG - Ehler's Center of Gravity
COPPOCK - Coppock Curve
CRSI - Connor RSI
CTI - Ehler's Correlation Trend Indicator