MACD Pro (with Selectable MA Types)

1. Summary (Introduction)

The MACD Pro is an enhanced version of the classic Moving Average Convergence/Divergence indicator. While the standard MACD uses Exponential Moving Averages (EMAs), this "Pro" version offers traders the flexibility to choose from seven different moving average types for its calculation.

This customization allows traders to fine-tune the indicator's responsiveness and smoothness. Our MACD_Pro implementation is a unified, professional version that allows the calculation to be based on either standard or Heikin Ashi price data, selectable from a single input parameter.

2. Mathematical Foundations and Calculation Logic

The MACD Pro follows the classic MACD structure but generalizes the moving average calculation.

Required Components

Fast Period, Slow Period, Signal Period: The lookback periods for the three moving averages.
Source MA Type: The type of MA to be used for the Fast and Slow lines.
Signal MA Type: The type of MA to be used for the Signal Line.
Source Price (P): The price series used for the calculation.

Calculation Steps (Algorithm)

Calculate the Fast MA: Compute a moving average of the source price using the fast period and the selected Source MA Type. \text{FastMA} = \text{MA}(\text{Price}, \text{FastPeriod}, \text{SourceMAType})
Calculate the Slow MA: Compute a moving average of the source price using the slow period and the selected Source MA Type. \text{SlowMA} = \text{MA}(\text{Price}, \text{SlowPeriod}, \text{SourceMAType})
Calculate the MACD Line: Subtract the Slow MA from the Fast MA. \text{MACD Line} = \text{FastMA} - \text{SlowMA}
Calculate the Signal Line: Compute a moving average of the MACD Line using the signal period and the selected Signal MA Type. \text{Signal Line} = \text{MA}(\text{MACD Line}, \text{SignalPeriod}, \text{SignalMAType})
Calculate the Histogram: Subtract the Signal Line from the MACD Line. \text{Histogram} = \text{MACD Line} - \text{Signal Line}

3. MQL5 Implementation Details

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

Modular Calculation Engine (MACD_Calculator.mqh): The entire calculation logic is encapsulated within a reusable include file.
- Composition Pattern: The calculator internally instantiates three dedicated CMovingAverageCalculator engines (from our universal MovingAverage_Engine.mqh):
  1. Fast Engine: Calculates the Fast MA.
  2. Slow Engine: Calculates the Slow MA.
  3. Signal Engine: Calculates the Signal Line smoothing. This ensures that the core MA logic is consistent across the entire indicator and allows for advanced combinations (e.g., DEMA-based MACD with TEMA Signal).
Optimized Incremental Calculation (O(1)): Unlike basic implementations that recalculate the entire history on every tick, this indicator employs an intelligent incremental algorithm.
- State Tracking: It utilizes prev_calculated to process only new bars.
- Persistent Buffers: Internal buffers persist their state between ticks.
- Robust Offset Handling: The engine correctly handles the initialization periods of the chained calculations (Fast/Slow MA -> MACD Line -> Signal Line), ensuring that each step starts only when valid data is available. This prevents artifacts and "INF" errors at the beginning of the chart.
Heikin Ashi Integration: An inherited _HA class allows the calculation to be performed seamlessly on smoothed Heikin Ashi data, leveraging the same optimized engine.

4. Parameters

Fast Period (InpFastPeriod): The period for the shorter-term MA. (Default: 12).
Slow Period (InpSlowPeriod): The period for the longer-term MA. (Default: 26).
Signal Period (InpSignalPeriod): The period for the signal line's MA. (Default: 9).
Applied Price (InpSourcePrice): The source price for the calculation. (Standard or Heikin Ashi).
Source MA Type (InpSourceMAType): The MA type for the Fast and Slow lines. Supports: SMA, EMA, SMMA, LWMA, TMA, DEMA, TEMA. (Default: EMA).
Signal MA Type (InpSignalMAType): The MA type for the Signal line. Supports: SMA, EMA, SMMA, LWMA, TMA, DEMA, TEMA. (Default: EMA).

5. Usage and Interpretation

The interpretation of the MACD Pro is identical to the standard MACD, but the signals may be faster or slower depending on the selected MA types.

Signal Line Crossovers: The primary signal. A crossover of the MACD Line above the Signal Line is bullish; a cross below is bearish.
Zero Line Crossovers: A secondary signal confirming the overall trend direction.
Divergence: A powerful signal where the indicator's momentum disagrees with the price action.
Histogram: Visually represents the momentum's acceleration or deceleration.

Effect of MA Types:

EMA (Default): The classic, balanced MACD.
TEMA/DEMA: Using these will result in a much faster, more responsive MACD, ideal for scalping.
TMA: Using Triangular MA will result in a very smooth, laggy MACD, useful for filtering out noise in long-term trends.

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