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 nine 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)
• VWMA (Volume-Weighted 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 / WMA (Linear Weighted Moving Average / Weighted Moving Average)

Applies linearly decreasing weights from the most recent price to the oldest. WMA is equivalent to LWMA in our suite to ensure direct compatibility with TradingView standards.

\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

VWMA (Volume-Weighted Moving Average)

Integrates trading volume into the calculation. Higher volume bars have a proportionally larger influence on the resulting average, allowing the indicator to track institutional interest and true market consensus.

\text{VWMA}_t = \frac{\sum_{i=0}^{N-1} (P_{t-i} \times V_{t-i})}{\sum_{i=0}^{N-1} V_{t-i}}

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.
  • Overloaded Volume Interface: High-precision overload patterns are provided for Volume-sensitive calculations like VWMA. If volume data is not passed, the calculator executes a robust fallback mechanism to SMA with a warning print.

• 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, WMA, VWMA.
• 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.
• Volume Confirmation (VWMA vs SMA):
  • When VWMA is above SMA, it indicates that volume has been higher on bullish closed bars (high institutional demand).
  • When VWMA is below SMA, it signifies that volume is backing bearish developments.