using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
namespace QuanTAlib;
///
/// GDEMA: Generalized Double Exponential Moving Average
///
///
/// Extends standard DEMA with a tunable volume factor v that controls
/// the aggressiveness of lag compensation. Two cascaded EMAs with shared
/// warmup compensator combined via parameterized linear combination.
///
/// Calculation: GDEMA = (1+v)×EMA₁ - v×EMA₂ where EMA₂ = EMA(EMA₁).
/// When v=0 → EMA, v=1 → standard DEMA, v>1 → more aggressive lag removal.
///
[SkipLocalsInit]
public sealed class Gdema : AbstractBase
{
[StructLayout(LayoutKind.Auto)]
private record struct EmaState(double Ema, double E, bool IsHot, bool IsCompensated)
{
public static EmaState New() => new() { Ema = 0, E = 1.0, IsHot = false, IsCompensated = false };
}
private readonly double _alpha;
private readonly double _decay;
private readonly double _vfactor;
private readonly double _onePlusV; // precomputed (1 + v)
private EmaState _state1 = EmaState.New();
private EmaState _state2 = EmaState.New();
private EmaState _p_state1 = EmaState.New();
private EmaState _p_state2 = EmaState.New();
private double _lastValidValue = double.NaN;
private double _p_lastValidValue = double.NaN;
private readonly ITValuePublisher? _publisher;
private readonly TValuePublishedHandler? _listener;
public override bool IsHot => _state2.IsHot;
public Gdema(int period = 10, double vfactor = 1.0)
{
ArgumentOutOfRangeException.ThrowIfLessThan(period, 1);
_alpha = 2.0 / (period + 1);
_decay = 1.0 - _alpha;
_vfactor = vfactor;
_onePlusV = 1.0 + vfactor;
Name = $"Gdema({period},{vfactor:F1})";
WarmupPeriod = period;
}
public Gdema(ITValuePublisher source, int period = 10, double vfactor = 1.0) : this(period, vfactor)
{
_publisher = source;
_listener = Handle;
source.Pub += _listener;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public override TValue Update(TValue input, bool isNew = true)
{
if (isNew)
{
_p_state1 = _state1;
_p_state2 = _state2;
_p_lastValidValue = _lastValidValue;
}
else
{
_state1 = _p_state1;
_state2 = _p_state2;
_lastValidValue = _p_lastValidValue;
}
double val = input.Value;
if (double.IsFinite(val))
{
_lastValidValue = val;
}
else
{
val = _lastValidValue;
}
if (double.IsNaN(val))
{
Last = new TValue(input.Time, double.NaN);
PubEvent(Last, isNew);
return Last;
}
double e1 = ComputeEma(val, _alpha, _decay, ref _state1);
double e2 = ComputeEma(e1, _alpha, _decay, ref _state2);
// GDEMA = (1+v)*EMA1 - v*EMA2
double result = Math.FusedMultiplyAdd(_onePlusV, e1, -_vfactor * e2);
Last = new TValue(input.Time, result);
PubEvent(Last, isNew);
return Last;
}
[MethodImpl(MethodImplOptions.AggressiveOptimization)]
public override TSeries Update(TSeries source)
{
if (source.Count == 0)
{
return [];
}
int len = source.Count;
var t = new List(len);
var v = new List(len);
CollectionsMarshal.SetCount(t, len);
CollectionsMarshal.SetCount(v, len);
var tSpan = CollectionsMarshal.AsSpan(t);
var vSpan = CollectionsMarshal.AsSpan(v);
source.Times.CopyTo(tSpan);
EmaState preBatch_s1 = _state1;
EmaState preBatch_s2 = _state2;
double preBatch_lastValid = _lastValidValue;
EmaState s1 = _state1;
EmaState s2 = _state2;
double lastValid = _lastValidValue;
double alpha = _alpha;
double decay = _decay;
double onePlusV = _onePlusV;
double vf = _vfactor;
for (int i = 0; i < len; i++)
{
double val = source.Values[i];
if (double.IsFinite(val))
{
lastValid = val;
}
else
{
val = lastValid;
}
if (double.IsNaN(val))
{
vSpan[i] = double.NaN;
continue;
}
double e1 = ComputeEma(val, alpha, decay, ref s1);
double e2 = ComputeEma(e1, alpha, decay, ref s2);
vSpan[i] = Math.FusedMultiplyAdd(onePlusV, e1, -vf * e2);
}
_state1 = s1;
_state2 = s2;
_lastValidValue = lastValid;
_p_state1 = preBatch_s1;
_p_state2 = preBatch_s2;
_p_lastValidValue = preBatch_lastValid;
Last = new TValue(tSpan[len - 1], vSpan[len - 1]);
return new TSeries(t, v);
}
public override void Prime(ReadOnlySpan source, TimeSpan? step = null)
{
foreach (double value in source)
{
Update(new TValue(DateTime.MinValue, value));
}
}
public static TSeries Batch(TSeries source, int period = 10, double vfactor = 1.0)
{
var gdema = new Gdema(period, vfactor);
return gdema.Update(source);
}
public static void Batch(ReadOnlySpan source, Span output, int period = 10, double vfactor = 1.0)
{
if (source.Length != output.Length)
{
throw new ArgumentException("Source and output must have the same length.", nameof(output));
}
ArgumentOutOfRangeException.ThrowIfLessThan(period, 1);
if (source.Length == 0)
{
return;
}
double alpha = 2.0 / (period + 1);
double decay = 1.0 - alpha;
double onePlusV = 1.0 + vfactor;
double lastValid = double.NaN;
double ema1_val = 0;
double ema1_e = 1.0;
bool ema1_isCompensated = false;
double ema2_val = 0;
double ema2_e = 1.0;
bool ema2_isCompensated = false;
for (int i = 0; i < source.Length; i++)
{
double val = source[i];
if (double.IsFinite(val))
{
lastValid = val;
}
else
{
val = lastValid;
}
if (double.IsNaN(val))
{
output[i] = double.NaN;
continue;
}
// EMA1
ema1_val = Math.FusedMultiplyAdd(ema1_val, decay, alpha * val);
double e1;
if (!ema1_isCompensated)
{
ema1_e *= decay;
if (ema1_e <= 1e-10)
{
ema1_isCompensated = true;
e1 = ema1_val;
}
else
{
e1 = ema1_val / (1.0 - ema1_e);
}
}
else
{
e1 = ema1_val;
}
// EMA2
ema2_val = Math.FusedMultiplyAdd(ema2_val, decay, alpha * e1);
double e2;
if (!ema2_isCompensated)
{
ema2_e *= decay;
if (ema2_e <= 1e-10)
{
ema2_isCompensated = true;
e2 = ema2_val;
}
else
{
e2 = ema2_val / (1.0 - ema2_e);
}
}
else
{
e2 = ema2_val;
}
// GDEMA = (1+v)*EMA1 - v*EMA2
output[i] = Math.FusedMultiplyAdd(onePlusV, e1, -vfactor * e2);
}
}
public static (TSeries Results, Gdema Indicator) Calculate(TSeries source, int period = 10, double vfactor = 1.0)
{
var indicator = new Gdema(period, vfactor);
TSeries results = indicator.Update(source);
return (results, indicator);
}
public override void Reset()
{
_state1 = EmaState.New();
_state2 = EmaState.New();
_p_state1 = EmaState.New();
_p_state2 = EmaState.New();
_lastValidValue = double.NaN;
_p_lastValidValue = double.NaN;
Last = default;
}
protected override void Dispose(bool disposing)
{
if (disposing && _publisher != null && _listener != null)
{
_publisher.Pub -= _listener;
}
base.Dispose(disposing);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private void Handle(object? sender, in TValueEventArgs e) => Update(e.Value, e.IsNew);
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
private static double ComputeEma(double input, double alpha, double decay, ref EmaState state)
{
state.Ema = Math.FusedMultiplyAdd(state.Ema, decay, alpha * input);
double result;
if (!state.IsCompensated)
{
state.E *= decay;
if (!state.IsHot && state.E <= 0.05)
{
state.IsHot = true;
}
if (state.E <= 1e-10)
{
state.IsCompensated = true;
result = state.Ema;
}
else
{
result = state.Ema / (1.0 - state.E);
}
}
else
{
result = state.Ema;
}
return result;
}
}