using System.Buffers;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
namespace QuanTAlib;
///
/// DEMA: Double Exponential Moving Average
///
///
/// DEMA reduces the lag of traditional EMA by subtracting the lag from the original EMA.
///
/// Calculation:
/// EMA1 = EMA(input)
/// EMA2 = EMA(EMA1)
/// DEMA = 2 * EMA1 - EMA2
///
/// O(1) update:
/// Uses two EMA instances, each with O(1) update complexity.
///
/// IsHot:
/// Becomes true when the second EMA converges (approx. 2x EMA convergence time).
///
[SkipLocalsInit]
public sealed class Dema : AbstractBase, IDisposable
{
[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 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 Dema(int period)
{
if (period <= 0) throw new ArgumentException("Period must be greater than 0", nameof(period));
_alpha = 2.0 / (period + 1);
_decay = 1.0 - _alpha;
Name = $"Dema({period})";
WarmupPeriod = period;
}
public Dema(ITValuePublisher source, int period) : this(period)
{
_publisher = source;
_listener = Handle;
source.Pub += _listener;
}
public Dema(double alpha)
{
if (alpha <= 0 || alpha > 1) throw new ArgumentException("Alpha must be between 0 and 1", nameof(alpha));
_alpha = alpha;
_decay = 1.0 - alpha;
Name = $"Dema(α={alpha:F4})";
WarmupPeriod = (int)((2.0 / alpha) - 1.0);
}
[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;
}
// EMA1
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);
return Last;
}
double e1 = Compute(val, _alpha, _decay, ref _state1);
// EMA2 (input is e1, which is always valid)
double e2 = Compute(e1, _alpha, _decay, ref _state2);
double result = 2 * e1 - e2;
Last = new TValue(input.Time, result);
PubEvent(Last);
return Last;
}
public override TSeries Update(TSeries source)
{
if (source.Count == 0) return [];
int len = source.Count;
List t = new(len);
List v = new(len);
CollectionsMarshal.SetCount(t, len);
CollectionsMarshal.SetCount(v, len);
var tSpan = CollectionsMarshal.AsSpan(t);
var vSpan = CollectionsMarshal.AsSpan(v);
source.Times.CopyTo(tSpan);
var sourceValues = source.Values;
// Use current state
EmaState s1 = _state1;
EmaState s2 = _state2;
double lastValid = _lastValidValue;
double alpha = _alpha;
double decay = _decay;
for (int i = 0; i < len; i++)
{
double val = sourceValues[i];
if (double.IsFinite(val))
lastValid = val;
else
val = lastValid;
if (double.IsNaN(val))
{
vSpan[i] = double.NaN;
continue;
}
double e1 = Compute(val, alpha, decay, ref s1);
double e2 = Compute(e1, alpha, decay, ref s2);
vSpan[i] = 2 * e1 - e2;
}
// Update instance state
_state1 = s1;
_state2 = s2;
_p_state1 = s1;
_p_state2 = s2;
_lastValidValue = lastValid;
_p_lastValidValue = lastValid;
Last = new TValue(tSpan[len - 1], vSpan[len - 1]);
return new TSeries(t, v);
}
public override void Prime(ReadOnlySpan source)
{
foreach (var value in source)
{
Update(new TValue(DateTime.MinValue, value));
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private static double Compute(double input, double alpha, double decay, ref EmaState state)
{
state.Ema += alpha * (input - state.Ema);
double result;
if (!state.IsCompensated)
{
state.E *= decay;
if (!state.IsHot && state.E <= 0.05) // COVERAGE_THRESHOLD
state.IsHot = true;
if (state.E <= 1e-10) // COMPENSATOR_THRESHOLD
{
state.IsCompensated = true;
result = state.Ema;
}
else
{
result = state.Ema / (1.0 - state.E);
}
}
else
{
result = state.Ema;
}
return result;
}
public static TSeries Calculate(TSeries source, int period)
{
var dema = new Dema(period);
return dema.Update(source);
}
public static TSeries Calculate(TSeries source, double alpha)
{
var dema = new Dema(alpha);
return dema.Update(source);
}
public static void Calculate(ReadOnlySpan source, Span output, int period)
{
if (period <= 0)
throw new ArgumentException("Period must be greater than 0", nameof(period));
double alpha = 2.0 / (period + 1);
Calculate(source, output, alpha);
}
public static void Calculate(ReadOnlySpan source, Span output, double alpha)
{
if (source.Length != output.Length)
throw new ArgumentException("Source and output must have the same length", nameof(output));
if (alpha <= 0 || alpha > 1)
throw new ArgumentException("Alpha must be between 0 and 1", nameof(alpha));
if (source.Length == 0) return;
double decay = 1.0 - alpha;
double lastValid = double.NaN;
// State for EMA1
double ema1_val = 0;
double ema1_e = 1.0;
bool ema1_isCompensated = false;
// State for EMA2
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;
}
// Update EMA1
ema1_val += alpha * (val - ema1_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;
}
// Update EMA2 (input is e1)
ema2_val += alpha * (e1 - ema2_val);
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;
}
// DEMA = 2 * EMA1 - EMA2
output[i] = 2 * e1 - e2;
}
}
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;
}
public void Dispose()
{
if (_publisher != null && _listener != null)
{
_publisher.Pub -= _listener;
}
}
private void Handle(object? sender, TValueEventArgs e) => Update(e.Value, e.IsNew);
}