mql5/Indicators/MyIndicators/MovingAverage_Pro.md

Moving Average Pro

1. Summary (Introduction)

The MovingAverage_Pro is a universal, "all-in-one" moving average indicator designed for maximum flexibility and efficiency. It consolidates seven fundamental and advanced moving average types into a single, powerful tool, allowing the user to switch between them with a simple dropdown menu.

The available moving average types are:

• SMA (Simple Moving Average)
• EMA (Exponential Moving Average)
• SMMA (Smoothed Moving Average)
• LWMA (Linear Weighted Moving Average)
• TMA (Triangular Moving Average)
• DEMA (Double Exponential Moving Average)
• TEMA (Triple Exponential Moving Average)

As part of our professional indicator suite, it fully supports calculations on either standard or Heikin Ashi price data, providing a consistent and powerful tool for any analysis style.

2. Mathematical Foundations and Calculation Logic

Each moving average type offers a different balance between smoothing and responsiveness. Our implementation is "definition-true" to the standard formulas used in technical analysis.

SMA (Simple Moving Average)

The arithmetic mean of the last N prices. Ideal for identifying long-term trends. \text{SMA}_t = \frac{1}{N} \sum_{i=0}^{N-1} P_{t-i}

EMA (Exponential Moving Average)

A weighted average that applies more weight to recent prices. Calculated recursively. \alpha = \frac{2}{N + 1} \text{EMA}_t = (P_t \times \alpha) + (\text{EMA}_{t-1} \times (1 - \alpha))

SMMA (Smoothed Moving Average)

Also known as Wilder's Smoothing. Has a longer "memory" than an EMA. \text{SMMA}_t = \frac{(\text{SMMA}_{t-1} \times (N-1)) + P_t}{N}

LWMA (Linear Weighted Moving Average)

Applies linearly decreasing weights from the most recent price to the oldest. \text{LWMA}_t = \frac{\sum_{i=0}^{N-1} P_{t-i} \times (N-i)}{\sum_{j=1}^{N} j}

TMA (Triangular Moving Average)

A double-smoothed average (SMA of an SMA) that emphasizes the middle of the data window. Extremely smooth.

DEMA (Double Exponential Moving Average)

A lag-reduction technique by Patrick Mulloy. \text{DEMA}_t = (2 \times \text{EMA}_1) - \text{EMA}_2

TEMA (Triple Exponential Moving Average)

An advanced lag-reduction technique using triple smoothing. \text{TEMA}_t = (3 \times \text{EMA}_1) - (3 \times \text{EMA}_2) + \text{EMA}_3

3. MQL5 Implementation Details

• Universal Calculation Engine (MovingAverage_Engine.mqh): The core logic is encapsulated in a robust engine that powers multiple indicators in our suite (including Stochastic Pro and MACD Pro).

  • Versatility: The engine supports calculations on both standard OHLC data and custom arrays (via CalculateOnArray), with advanced offset handling for complex indicators.

• Optimized Incremental Calculation (O(1)): Unlike basic implementations, this indicator employs an intelligent incremental algorithm.

  • State Tracking: It utilizes prev_calculated to process only new bars.
  • Persistent Buffers: For recursive types (EMA, SMMA, DEMA, TEMA), internal buffers persist their state between ticks, ensuring seamless updates without full recalculation.
  • Robust Initialization: The engine includes specific logic to handle the initialization of recursive averages (seeding with SMA) to prevent artifacts at the beginning of the data series.

• Object-Oriented Design:

  • A CMovingAverageCalculator base class handles the core math.
  • A CMovingAverageCalculator_HA derived class handles Heikin Ashi data preparation, ensuring clean separation of concerns.

4. Parameters

• Period (InpPeriod): The lookback period for the moving average calculation.
• MA Type (InpMAType): Select from SMA, EMA, SMMA, LWMA, TMA, DEMA, TEMA.
• Applied Price (InpSourcePrice): The source price (Standard or Heikin Ashi).

5. Usage and Interpretation

• Trend Identification:
  • Bullish: Price > MA and MA sloping up.
  • Bearish: Price < MA and MA sloping down.
• Dynamic Support/Resistance: The MA line often acts as a bouncing point for price during trends.
• Crossovers: Using two MAs (Fast and Slow) to generate buy/sell signals (Golden Cross / Death Cross).