Files
2026-02-10 21:33:16 -08:00

397 lines
11 KiB
C#

using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
namespace QuanTAlib;
/// <summary>
/// MASSI: Mass Index
/// </summary>
/// <remarks>
/// Developed by Donald Dorsey to identify trend reversals by measuring the narrowing
/// and widening of the range between high and low prices. A "reversal bulge" occurs
/// when Mass Index rises above 27 and then drops below 26.5.
///
/// Calculation:
/// 1. EMA1 = EMA(High - Low, emaLength)
/// 2. EMA2 = EMA(EMA1, emaLength) (double-smoothed)
/// 3. Ratio = EMA1 / EMA2
/// 4. MASSI = Sum(Ratio, sumLength)
///
/// Default: emaLength=9, sumLength=25 → typical MASSI(9,25).
/// </remarks>
/// <seealso href="Massi.md">Detailed documentation</seealso>
[SkipLocalsInit]
public sealed class Massi : AbstractBase
{
private const double COMPENSATOR_THRESHOLD = 1e-10;
private readonly double _alpha;
private readonly double _decay;
private readonly RingBuffer _sumBuffer;
private readonly TValuePublishedHandler _handler;
private readonly ITValuePublisher? _source;
private bool _disposed;
private State _s;
private State _ps;
[StructLayout(LayoutKind.Auto)]
private record struct State
{
// EMA states (raw, uncompensated accumulators)
public double Ema1Raw;
public double Ema2Raw;
public double E; // compensation factor (decays to 0)
public bool IsCompensated; // true when E <= threshold
// Last valid price range (for NaN handling)
public double LastRange;
// Bar counter
public int Bars;
}
/// <summary>
/// Gets the current EMA1 value (smoothed range).
/// </summary>
public double Ema1 { get; private set; }
/// <summary>
/// Gets the current EMA2 value (double-smoothed range).
/// </summary>
public double Ema2 { get; private set; }
/// <summary>
/// Gets the current ratio (EMA1/EMA2).
/// </summary>
public double Ratio { get; private set; }
public override bool IsHot => _s.Bars >= WarmupPeriod;
/// <summary>
/// Creates MASSI with specified parameters.
/// </summary>
/// <param name="emaLength">Period for EMA smoothing of High-Low range (default: 9)</param>
/// <param name="sumLength">Period for summing the EMA ratio (default: 25)</param>
public Massi(int emaLength = 9, int sumLength = 25)
{
if (emaLength < 1)
{
throw new ArgumentOutOfRangeException(nameof(emaLength), "EMA length must be >= 1.");
}
if (sumLength < 1)
{
throw new ArgumentOutOfRangeException(nameof(sumLength), "Sum length must be >= 1.");
}
_alpha = 2.0 / (emaLength + 1);
_decay = 1.0 - _alpha;
_sumBuffer = new RingBuffer(sumLength);
_handler = Handle;
// Warmup: need enough bars to fill the sum buffer + EMA stabilization
WarmupPeriod = emaLength + sumLength;
Name = $"Massi({emaLength},{sumLength})";
Reset();
}
/// <summary>
/// Creates MASSI with specified source and parameters.
/// </summary>
public Massi(ITValuePublisher source, int emaLength = 9, int sumLength = 25)
: this(emaLength, sumLength)
{
_source = source;
source.Pub += _handler;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override void Reset()
{
_s = new State { E = 1.0 };
_ps = _s;
_sumBuffer.Clear();
Ema1 = 0;
Ema2 = 0;
Ratio = 0;
Last = default;
}
/// <summary>
/// Updates MASSI with a TBar (OHLCV) input.
/// </summary>
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public TValue Update(TBar input, bool isNew = true)
{
double range = input.High - input.Low;
return UpdateCore(input.Time, range, isNew);
}
/// <summary>
/// Updates MASSI with a TValue input (treats value as pre-calculated range).
/// </summary>
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override TValue Update(TValue input, bool isNew = true)
{
return UpdateCore(input.Time, input.Value, isNew);
}
/// <summary>
/// Updates MASSI with a TBarSeries.
/// </summary>
public TSeries Update(TBarSeries source)
{
if (source.Count == 0)
{
return [];
}
int len = source.Count;
var t = new List<long>(len);
var v = new List<double>(len);
CollectionsMarshal.SetCount(t, len);
CollectionsMarshal.SetCount(v, len);
var tSpan = CollectionsMarshal.AsSpan(t);
var vSpan = CollectionsMarshal.AsSpan(v);
Reset();
for (int i = 0; i < len; i++)
{
var bar = source[i];
double range = bar.High - bar.Low;
tSpan[i] = bar.Time;
vSpan[i] = CalculateMassiStep(range);
}
// Sync state
_ps = _s;
_sumBuffer.Snapshot();
Last = new TValue(tSpan[len - 1], vSpan[len - 1]);
return new TSeries(t, v);
}
/// <summary>
/// Updates MASSI with a TSeries (assumes values are pre-calculated ranges).
/// </summary>
public override TSeries Update(TSeries source)
{
if (source.Count == 0)
{
return [];
}
int len = source.Count;
var t = new List<long>(len);
var v = new List<double>(len);
CollectionsMarshal.SetCount(t, len);
CollectionsMarshal.SetCount(v, len);
var tSpan = CollectionsMarshal.AsSpan(t);
var vSpan = CollectionsMarshal.AsSpan(v);
source.Times.CopyTo(tSpan);
Reset();
for (int i = 0; i < len; i++)
{
vSpan[i] = CalculateMassiStep(source.Values[i]);
}
_ps = _s;
_sumBuffer.Snapshot();
Last = new TValue(tSpan[len - 1], vSpan[len - 1]);
return new TSeries(t, v);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private TValue UpdateCore(long time, double range, bool isNew)
{
HandleStateSnapshot(isNew);
// Handle non-finite values
if (!double.IsFinite(range) || range < 0)
{
if (_s.Bars == 0)
{
Last = new TValue(time, double.NaN); // time is already long (ticks)
PubEvent(Last, isNew);
return Last;
}
range = _s.LastRange;
}
else
{
_s.LastRange = range;
}
_s.Bars++;
double massi = CalculateMassi(range);
Last = new TValue(time, massi);
PubEvent(Last, isNew);
return Last;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private void HandleStateSnapshot(bool isNew)
{
if (isNew)
{
_ps = _s;
_sumBuffer.Snapshot();
}
else
{
_s = _ps;
_sumBuffer.Restore();
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private double CalculateMassi(double range)
{
// Update EMA1 (smoothed range)
_s.Ema1Raw = Math.FusedMultiplyAdd(_s.Ema1Raw, _decay, _alpha * range);
// Update EMA2 (double-smoothed, uses EMA1 raw for continuity)
_s.Ema2Raw = Math.FusedMultiplyAdd(_s.Ema2Raw, _decay, _alpha * _s.Ema1Raw);
// Compensation handling
double ema1, ema2;
if (!_s.IsCompensated)
{
_s.E *= _decay;
if (_s.E <= COMPENSATOR_THRESHOLD)
{
_s.IsCompensated = true;
ema1 = _s.Ema1Raw;
ema2 = _s.Ema2Raw;
}
else
{
double c = 1.0 / (1.0 - _s.E);
ema1 = _s.Ema1Raw * c;
ema2 = _s.Ema2Raw * c;
}
}
else
{
ema1 = _s.Ema1Raw;
ema2 = _s.Ema2Raw;
}
// Store for property access
Ema1 = ema1;
Ema2 = ema2;
// Calculate ratio (avoid division by zero)
double ratio = ema2 > 1e-10 ? ema1 / ema2 : 0.0;
Ratio = ratio;
// Add to rolling sum buffer
_sumBuffer.Add(ratio);
// Return sum of ratios
return _sumBuffer.Sum;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private double CalculateMassiStep(double range)
{
// Handle non-finite values
if (!double.IsFinite(range) || range < 0)
{
if (_s.Bars == 0)
{
return double.NaN;
}
range = _s.LastRange;
}
else
{
_s.LastRange = range;
}
_s.Bars++;
return CalculateMassi(range);
}
private void Handle(object? sender, in TValueEventArgs args) => Update(args.Value, args.IsNew);
protected override void Dispose(bool disposing)
{
if (!_disposed)
{
if (disposing && _source != null)
{
_source.Pub -= _handler;
}
_disposed = true;
}
base.Dispose(disposing);
}
public override void Prime(ReadOnlySpan<double> source, TimeSpan? step = null)
{
Reset();
foreach (var value in source)
{
_ = CalculateMassiStep(value);
}
_ps = _s;
_sumBuffer.Snapshot();
}
/// <summary>
/// Calculates MASSI for the entire TBarSeries using a new instance.
/// </summary>
public static TSeries Batch(TBarSeries source, int emaLength = 9, int sumLength = 25)
{
var massi = new Massi(emaLength, sumLength);
return massi.Update(source);
}
/// <summary>
/// Calculates MASSI for the entire TSeries (ranges) using a new instance.
/// </summary>
public static TSeries Batch(TSeries source, int emaLength = 9, int sumLength = 25)
{
var massi = new Massi(emaLength, sumLength);
return massi.Update(source);
}
/// <summary>
/// Static helper for span-based calculation (assumes input is H-L range).
/// </summary>
public static void Batch(ReadOnlySpan<double> source, Span<double> output,
int emaLength = 9, int sumLength = 25)
{
if (output.Length != source.Length)
{
throw new ArgumentException("Source and output must have the same length.", nameof(output));
}
if (source.Length == 0)
{
return;
}
var massi = new Massi(emaLength, sumLength);
for (int i = 0; i < source.Length; i++)
{
output[i] = massi.CalculateMassiStep(source[i]);
}
}
public static (TSeries Results, Massi Indicator) Calculate(TBarSeries source, int emaLength = 9, int sumLength = 25)
{
var indicator = new Massi(emaLength, sumLength);
TSeries results = indicator.Update(source);
return (results, indicator);
}
}