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Adx, Adxr, Apo, Dmi
This commit is contained in:
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// ADX: Average Directional Movement Index
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/// A technical analysis indicator used to measure the strength of a trend,
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/// regardless of its direction. ADX combines the Positive and Negative
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/// Directional Movement Indicators to determine trend strength.
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/// </summary>
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/// <remarks>
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/// The ADX calculation process:
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/// 1. Calculate True Range (TR)
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/// 2. Calculate +DM (Positive Directional Movement)
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/// 3. Calculate -DM (Negative Directional Movement)
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/// 4. Smooth TR, +DM, and -DM using Wilder's smoothing
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/// 5. Calculate +DI and -DI
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/// 6. Calculate DX (Directional Index)
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/// 7. Smooth DX to get ADX
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///
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/// Key characteristics:
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/// - Oscillates between 0 and 100
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/// - Values above 25 indicate strong trend
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/// - Values below 20 indicate weak or no trend
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/// - Can be used with +DI and -DI for trade signals
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/// - Does not indicate trend direction, only strength
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///
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/// Formula:
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/// TR = max(high-low, abs(high-prevClose), abs(low-prevClose))
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/// +DM = if(high-prevHigh > prevLow-low) then max(high-prevHigh, 0) else 0
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/// -DM = if(prevLow-low > high-prevHigh) then max(prevLow-low, 0) else 0
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/// +DI = 100 * smoothed(+DM) / smoothed(TR)
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/// -DI = 100 * smoothed(-DM) / smoothed(TR)
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/// DX = 100 * abs(+DI - -DI) / (+DI + -DI)
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/// ADX = smoothed(DX)
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///
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/// Sources:
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/// J. Welles Wilder Jr. - "New Concepts in Technical Trading Systems" (1978)
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/// https://www.investopedia.com/terms/a/adx.asp
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///
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/// Note: Default period of 14 was recommended by Wilder
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Adx : AbstractBarBase
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{
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private readonly Rma _smoothedTr;
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private readonly Rma _smoothedPlusDm;
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private readonly Rma _smoothedMinusDm;
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private readonly Rma _smoothedDx;
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private double _prevHigh, _prevLow, _prevClose;
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private double _p_prevHigh, _p_prevLow, _p_prevClose;
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private const double ScalingFactor = 100.0;
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private const int DefaultPeriod = 14;
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/// <param name="period">The number of periods used in the ADX calculation (default 14).</param>
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/// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Adx(int period = DefaultPeriod)
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{
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if (period < 1)
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throw new ArgumentOutOfRangeException(nameof(period));
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_smoothedTr = new(period, useSma: true);
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_smoothedPlusDm = new(period, useSma: true);
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_smoothedMinusDm = new(period, useSma: true);
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_smoothedDx = new(period, useSma: true);
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_index = 0;
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WarmupPeriod = period * 2; // Need extra period for DX smoothing
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Name = $"ADX({period})";
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}
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/// <param name="source">The data source object that publishes updates.</param>
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/// <param name="period">The number of periods used in the ADX calculation.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Adx(object source, int period) : this(period)
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{
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new BarSignal(Sub));
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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{
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_index++;
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_p_prevHigh = _prevHigh;
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_p_prevLow = _prevLow;
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_p_prevClose = _prevClose;
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}
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else
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{
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_prevHigh = _p_prevHigh;
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_prevLow = _p_prevLow;
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_prevClose = _p_prevClose;
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}
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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private static double CalculateTrueRange(double high, double low, double prevClose)
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{
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double hl = high - low;
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double hpc = Math.Abs(high - prevClose);
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double lpc = Math.Abs(low - prevClose);
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return Math.Max(hl, Math.Max(hpc, lpc));
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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private static (double plusDm, double minusDm) CalculateDirectionalMovement(
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double high, double low, double prevHigh, double prevLow)
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{
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double upMove = high - prevHigh;
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double downMove = prevLow - low;
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double plusDm = 0.0;
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double minusDm = 0.0;
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if (upMove > downMove && upMove > 0)
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plusDm = upMove;
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else if (downMove > upMove && downMove > 0)
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minusDm = downMove;
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return (plusDm, minusDm);
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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private static double CalculateDx(double plusDi, double minusDi)
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{
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double sum = plusDi + minusDi;
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if (sum > 0)
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return ScalingFactor * Math.Abs(plusDi - minusDi) / sum;
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return 0.0;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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protected override double Calculation()
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{
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ManageState(Input.IsNew);
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if (_index == 1)
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{
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_prevHigh = Input.High;
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_prevLow = Input.Low;
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_prevClose = Input.Close;
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return 0.0;
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}
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// Calculate True Range and Directional Movement
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double tr = CalculateTrueRange(Input.High, Input.Low, _prevClose);
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var (plusDm, minusDm) = CalculateDirectionalMovement(
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Input.High, Input.Low, _prevHigh, _prevLow);
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// Update previous values
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_prevHigh = Input.High;
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_prevLow = Input.Low;
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_prevClose = Input.Close;
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// Smooth the indicators using Wilder's method
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_smoothedTr.Calc(tr, Input.IsNew);
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_smoothedPlusDm.Calc(plusDm, Input.IsNew);
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_smoothedMinusDm.Calc(minusDm, Input.IsNew);
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// Calculate +DI and -DI
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double smoothedTr = _smoothedTr.Value;
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if (smoothedTr > 0)
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{
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double plusDi = ScalingFactor * _smoothedPlusDm.Value / smoothedTr;
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double minusDi = ScalingFactor * _smoothedMinusDm.Value / smoothedTr;
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// Calculate DX
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double dx = CalculateDx(plusDi, minusDi);
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// Smooth DX to get ADX
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_smoothedDx.Calc(dx, Input.IsNew);
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return _smoothedDx.Value;
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}
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return 0.0;
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}
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}
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@@ -0,0 +1,90 @@
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// ADXR: Average Directional Movement Index Rating
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/// A momentum indicator that measures trend strength by comparing the current ADX
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/// value with a historical ADX value. ADXR helps identify potential trend
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/// reversals earlier than standard ADX.
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/// </summary>
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/// <remarks>
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/// The ADXR calculation process:
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/// 1. Calculate current period ADX
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/// 2. Calculate historical period ADX (shifted back by period)
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/// 3. Average the current and historical ADX values
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///
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/// Key characteristics:
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/// - Oscillates between 0 and 100
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/// - Values above 25 indicate strong trend
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/// - Values below 20 indicate weak or no trend
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/// - Faster at identifying trend changes than ADX
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/// - Does not indicate trend direction, only strength
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///
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/// Formula:
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/// ADXR = (Current ADX + Historical ADX) / 2
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/// where:
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/// Historical ADX = ADX value from 'period' bars ago
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///
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/// Sources:
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/// J. Welles Wilder Jr. - "New Concepts in Technical Trading Systems" (1978)
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/// https://www.investopedia.com/terms/a/adxr.asp
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///
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/// Note: Default period of 14 was recommended by Wilder
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Adxr : AbstractBarBase
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{
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private readonly Adx _currentAdx;
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private readonly CircularBuffer _historicalAdx;
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private const int DefaultPeriod = 14;
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/// <param name="period">The number of periods used in the ADXR calculation (default 14).</param>
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/// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Adxr(int period = DefaultPeriod)
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{
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if (period < 1)
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throw new ArgumentOutOfRangeException(nameof(period));
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_currentAdx = new(period);
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_historicalAdx = new(period);
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_index = 0;
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WarmupPeriod = period * 3; // Need extra periods for historical ADX
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Name = $"ADXR({period})";
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}
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/// <param name="source">The data source object that publishes updates.</param>
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/// <param name="period">The number of periods used in the ADXR calculation.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Adxr(object source, int period) : this(period)
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{
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new BarSignal(Sub));
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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_index++;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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protected override double Calculation()
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{
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ManageState(Input.IsNew);
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// Calculate current ADX
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double currentAdx = _currentAdx.Value;
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_currentAdx.Calc(Input);
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// Store ADX value in historical buffer
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_historicalAdx.Add(currentAdx, Input.IsNew);
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// Calculate ADXR once we have enough historical data
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if (_index > _historicalAdx.Capacity)
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return (currentAdx + _historicalAdx.Oldest()) / 2.0;
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return currentAdx;
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}
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}
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@@ -0,0 +1,92 @@
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// APO: Absolute Price Oscillator
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/// A momentum indicator that measures the absolute difference between two moving
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/// averages of different periods. APO helps identify trend direction and potential
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/// reversals by showing the momentum of price movement.
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/// </summary>
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/// <remarks>
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/// The APO calculation process:
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/// 1. Calculate fast period moving average
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/// 2. Calculate slow period moving average
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/// 3. Calculate absolute difference between the two averages
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///
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/// Key characteristics:
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/// - Oscillates above and below zero
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/// - Positive values indicate upward price momentum
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/// - Negative values indicate downward price momentum
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/// - Zero line crossovers signal potential trend changes
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/// - Similar to MACD but uses simple moving averages
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///
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/// Formula:
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/// APO = Fast MA - Slow MA
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/// where:
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/// Fast MA = Moving average of shorter period
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/// Slow MA = Moving average of longer period
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///
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/// Sources:
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/// https://www.investopedia.com/terms/p/ppo.asp
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/// https://school.stockcharts.com/doku.php?id=technical_indicators:price_oscillators_ppo
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///
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/// Note: Default periods are 12 and 26, similar to MACD
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Apo : AbstractBase
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{
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private readonly Sma _fastMa;
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private readonly Sma _slowMa;
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private const int DefaultFastPeriod = 12;
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private const int DefaultSlowPeriod = 26;
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/// <param name="fastPeriod">The number of periods for the fast moving average (default 12).</param>
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/// <param name="slowPeriod">The number of periods for the slow moving average (default 26).</param>
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/// <exception cref="ArgumentOutOfRangeException">Thrown when either period is less than 1.</exception>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Apo(int fastPeriod = DefaultFastPeriod, int slowPeriod = DefaultSlowPeriod)
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{
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if (fastPeriod < 1)
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throw new ArgumentOutOfRangeException(nameof(fastPeriod));
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if (slowPeriod < 1)
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throw new ArgumentOutOfRangeException(nameof(slowPeriod));
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if (fastPeriod >= slowPeriod)
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throw new ArgumentException("Fast period must be less than slow period");
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_fastMa = new(fastPeriod);
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_slowMa = new(slowPeriod);
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WarmupPeriod = slowPeriod;
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Name = $"APO({fastPeriod},{slowPeriod})";
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}
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/// <param name="source">The data source object that publishes updates.</param>
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/// <param name="fastPeriod">The number of periods for the fast moving average.</param>
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/// <param name="slowPeriod">The number of periods for the slow moving average.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Apo(object source, int fastPeriod, int slowPeriod) : this(fastPeriod, slowPeriod)
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{
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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_index++;
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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protected override double Calculation()
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{
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ManageState(Input.IsNew);
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// Calculate both moving averages
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double fastMa = _fastMa.Calc(Input.Value, Input.IsNew);
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double slowMa = _slowMa.Calc(Input.Value, Input.IsNew);
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// Calculate absolute difference
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return fastMa - slowMa;
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}
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}
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@@ -0,0 +1,171 @@
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// DMI: Directional Movement Index
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/// A technical indicator that identifies the directional movement of price by
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/// comparing successive highs and lows. DMI consists of two lines: +DI and -DI,
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/// which help determine trend direction and strength.
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/// </summary>
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/// <remarks>
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/// The DMI calculation process:
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/// 1. Calculate True Range (TR)
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/// 2. Calculate +DM (Positive Directional Movement)
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/// 3. Calculate -DM (Negative Directional Movement)
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/// 4. Smooth TR, +DM, and -DM using Wilder's smoothing
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/// 5. Calculate +DI and -DI as percentages
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///
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/// Key characteristics:
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/// - Both +DI and -DI oscillate between 0 and 100
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/// - When +DI > -DI, uptrend is indicated
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/// - When -DI > +DI, downtrend is indicated
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/// - Crossovers of +DI and -DI signal potential trend changes
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/// - Used in conjunction with ADX for trend trading
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///
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/// Formula:
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/// TR = max(high-low, abs(high-prevClose), abs(low-prevClose))
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/// +DM = if(high-prevHigh > prevLow-low) then max(high-prevHigh, 0) else 0
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/// -DM = if(prevLow-low > high-prevHigh) then max(prevLow-low, 0) else 0
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/// +DI = 100 * smoothed(+DM) / smoothed(TR)
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/// -DI = 100 * smoothed(-DM) / smoothed(TR)
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///
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/// Sources:
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/// J. Welles Wilder Jr. - "New Concepts in Technical Trading Systems" (1978)
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/// https://www.investopedia.com/terms/d/dmi.asp
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///
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/// Note: Default period of 14 was recommended by Wilder
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Dmi : AbstractBarBase
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{
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private readonly Rma _smoothedTr;
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private readonly Rma _smoothedPlusDm;
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private readonly Rma _smoothedMinusDm;
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private double _prevHigh, _prevLow, _prevClose;
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private double _p_prevHigh, _p_prevLow, _p_prevClose;
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private double _plusDi, _minusDi;
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private const double ScalingFactor = 100.0;
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private const int DefaultPeriod = 14;
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/// <summary>
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/// Gets the most recent +DI value
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/// </summary>
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public double PlusDI => _plusDi;
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/// <summary>
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/// Gets the most recent -DI value
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/// </summary>
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public double MinusDI => _minusDi;
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/// <param name="period">The number of periods used in the DMI calculation (default 14).</param>
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/// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1.</exception>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Dmi(int period = DefaultPeriod)
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{
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if (period < 1)
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throw new ArgumentOutOfRangeException(nameof(period));
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_smoothedTr = new(period, useSma: true);
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_smoothedPlusDm = new(period, useSma: true);
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_smoothedMinusDm = new(period, useSma: true);
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_index = 0;
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WarmupPeriod = period + 1;
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Name = $"DMI({period})";
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}
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||||
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/// <param name="source">The data source object that publishes updates.</param>
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/// <param name="period">The number of periods used in the DMI calculation.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Dmi(object source, int period) : this(period)
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{
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||||
var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new BarSignal(Sub));
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||||
}
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||||
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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||||
protected override void ManageState(bool isNew)
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||||
{
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||||
if (isNew)
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||||
{
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||||
_index++;
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_p_prevHigh = _prevHigh;
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||||
_p_prevLow = _prevLow;
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||||
_p_prevClose = _prevClose;
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||||
}
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||||
else
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||||
{
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||||
_prevHigh = _p_prevHigh;
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||||
_prevLow = _p_prevLow;
|
||||
_prevClose = _p_prevClose;
|
||||
}
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
private static double CalculateTrueRange(double high, double low, double prevClose)
|
||||
{
|
||||
double hl = high - low;
|
||||
double hpc = Math.Abs(high - prevClose);
|
||||
double lpc = Math.Abs(low - prevClose);
|
||||
return Math.Max(hl, Math.Max(hpc, lpc));
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
private static (double plusDm, double minusDm) CalculateDirectionalMovement(
|
||||
double high, double low, double prevHigh, double prevLow)
|
||||
{
|
||||
double upMove = high - prevHigh;
|
||||
double downMove = prevLow - low;
|
||||
|
||||
double plusDm = 0.0;
|
||||
double minusDm = 0.0;
|
||||
|
||||
if (upMove > downMove && upMove > 0)
|
||||
plusDm = upMove;
|
||||
else if (downMove > upMove && downMove > 0)
|
||||
minusDm = downMove;
|
||||
|
||||
return (plusDm, minusDm);
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
protected override double Calculation()
|
||||
{
|
||||
ManageState(Input.IsNew);
|
||||
|
||||
if (_index == 1)
|
||||
{
|
||||
_prevHigh = Input.High;
|
||||
_prevLow = Input.Low;
|
||||
_prevClose = Input.Close;
|
||||
return 0.0;
|
||||
}
|
||||
|
||||
// Calculate True Range and Directional Movement
|
||||
double tr = CalculateTrueRange(Input.High, Input.Low, _prevClose);
|
||||
var (plusDm, minusDm) = CalculateDirectionalMovement(
|
||||
Input.High, Input.Low, _prevHigh, _prevLow);
|
||||
|
||||
// Update previous values
|
||||
_prevHigh = Input.High;
|
||||
_prevLow = Input.Low;
|
||||
_prevClose = Input.Close;
|
||||
|
||||
// Smooth the indicators using Wilder's method
|
||||
_smoothedTr.Calc(tr, Input.IsNew);
|
||||
_smoothedPlusDm.Calc(plusDm, Input.IsNew);
|
||||
_smoothedMinusDm.Calc(minusDm, Input.IsNew);
|
||||
|
||||
// Calculate +DI and -DI
|
||||
double smoothedTr = _smoothedTr.Value;
|
||||
if (smoothedTr > 0)
|
||||
{
|
||||
_plusDi = ScalingFactor * _smoothedPlusDm.Value / smoothedTr;
|
||||
_minusDi = ScalingFactor * _smoothedMinusDm.Value / smoothedTr;
|
||||
return _plusDi - _minusDi; // Return the difference as main value
|
||||
}
|
||||
|
||||
_plusDi = 0.0;
|
||||
_minusDi = 0.0;
|
||||
return 0.0;
|
||||
}
|
||||
}
|
||||
@@ -1,6 +1,6 @@
|
||||
ADX - Average Directional Movement Index
|
||||
ADXR - Average Directional Movement Index
|
||||
APO - Absolute Price Oscillator
|
||||
✔️ ADX - Average Directional Movement Index
|
||||
✔️ ADXR - Average Directional Movement Index Rating
|
||||
✔️ APO - Absolute Price Oscillator
|
||||
DMI - Directional Movement Index
|
||||
DMX - Jurik Directional Movement Index
|
||||
DPO - Detrended Price Oscillator
|
||||
|
||||
@@ -96,7 +96,7 @@ public sealed class Jvolty : AbstractBase
|
||||
public Jvolty(object source, int period, int phase = DefaultPhase) : this(period, phase)
|
||||
{
|
||||
var pubEvent = source.GetType().GetEvent("Pub");
|
||||
pubEvent?.AddEventHandler(source, new BarSignal(Sub));
|
||||
pubEvent?.AddEventHandler(source, new ValueSignal(Sub));
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
|
||||
Reference in New Issue
Block a user