mql5/Indicators/MyIndicators/UltimateOscillator_Pro.md

Ultimate Oscillator (UO) Professional

1. Summary (Introduction)

The Ultimate Oscillator (UO), developed by Larry Williams, is a momentum oscillator designed to address the problem of false divergence signals by incorporating three different timeframes into a single, weighted oscillator value. This multi-timeframe approach provides a smoother and more reliable measure of momentum.

Our UltimateOscillator_Pro implementation is a unified, professional version that includes an optional, fully customizable signal line and allows the calculation to be based on either standard or Heikin Ashi price data.

2. Mathematical Foundations and Calculation Logic

The UO's calculation combines buying pressure over three distinct periods.

Required Components

• Three Periods (N1, N2, N3): The three lookback periods (e.g., 7, 14, 28).
• Price Data: The High, Low, and Close of each bar.

Calculation Steps (Algorithm)

1. Calculate Buying Pressure (BP): \text{BP}_i = \text{Close}_i - \text{Min}(\text{Low}_i, \text{Close}_{i-1})
2. Calculate True Range (TR): \text{TR}_i = \text{Max}(\text{High}_i, \text{Close}_{i-1}) - \text{Min}(\text{Low}_i, \text{Close}_{i-1})
3. Sum BP and TR over Three Periods.
4. Calculate Three Averages: For each period, divide the sum of BP by the sum of TR.
5. Calculate the Final UO: Combine the three averages using a weighted formula (4, 2, 1) and scale the result to 100. \text{UO}_i = 100 \times \frac{(4 \times \text{Avg}_7) + (2 \times \text{Avg}_{14}) + (1 \times \text{Avg}_{28})}{7}

3. MQL5 Implementation Details

Our MQL5 implementation follows a modern, object-oriented design to ensure stability, reusability, and maintainability.

• Modular Calculation Engine (UltimateOscillator_Calculator.mqh): The entire calculation logic is encapsulated within a reusable include file.

  • CUltimateOscillatorCalculator: The base class that performs the full UO and signal line calculation.
  • CUltimateOscillatorCalculator_HA: A child class that inherits all logic and only overrides the data preparation step to use smoothed Heikin Ashi prices.

• Optional Signal Line: The indicator is enhanced with a user-configurable moving average signal line, with all MA types calculated manually for robustness. A Display Mode input allows the user to toggle the visibility of this line.

• Stability via Full Recalculation: We employ a "brute-force" full recalculation within OnCalculate for maximum stability.

• Efficient Calculation: The summation of Buying Pressure and True Range is handled by an efficient sliding window sum technique.

4. Parameters

• Period 1, 2, 3 (InpPeriod1, InpPeriod2, InpPeriod3): The three lookback periods for the oscillator. Defaults are 7, 14, 28.
• Candle Source (InpCandleSource): Allows the user to select the candle type for the calculation (Standard or Heikin Ashi).
• Signal Line Settings:
  • InpDisplayMode: Toggles the visibility of the signal line.
  • InpSignalPeriod: The lookback period for the signal line.
  • InpSignalMAType: The type of moving average for the signal line.

5. Usage and Interpretation

The Ultimate Oscillator is primarily used to identify divergences, which are its most reliable signals.

• Bullish Divergence (Primary Buy Signal):
  1. The price makes a lower low, but the UO makes a higher low.
  2. The low of the UO during the divergence should be below 30.
  3. A buy signal is triggered when the UO subsequently breaks above the high it made during the divergence.
• Bearish Divergence (Primary Sell Signal):
  1. The price makes a higher high, but the UO makes a lower high.
  2. The high of the UO during the divergence should be above 70.
  3. A sell signal is triggered when the UO subsequently breaks below the low it made during the divergence.
• Signal Line Crossovers: If the signal line is enabled, its crossovers with the UO line can provide earlier, shorter-term momentum signals, similar to a MACD or Stochastic.
• Caution: Larry Williams specifically designed the indicator for its divergence signals. Simple overbought/oversold readings or signal line crossovers should be used with more caution.