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Toh4iem9
87 lines
4.2 KiB
Markdown
87 lines
4.2 KiB
Markdown
# Moving Average Pro
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## 1. Summary (Introduction)
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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.
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The available moving average types are:
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* **SMA** (Simple Moving Average)
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* **EMA** (Exponential Moving Average)
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* **SMMA** (Smoothed Moving Average)
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* **LWMA** (Linear Weighted Moving Average)
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* **TMA** (Triangular Moving Average)
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* **DEMA** (Double Exponential Moving Average)
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* **TEMA** (Triple Exponential Moving Average)
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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.
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## 2. Mathematical Foundations and Calculation Logic
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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.
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### SMA (Simple Moving Average)
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The arithmetic mean of the last `N` prices. Ideal for identifying long-term trends.
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$\text{SMA}_t = \frac{1}{N} \sum_{i=0}^{N-1} P_{t-i}$
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### EMA (Exponential Moving Average)
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A weighted average that applies more weight to recent prices. Calculated recursively.
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$\alpha = \frac{2}{N + 1}$
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$\text{EMA}_t = (P_t \times \alpha) + (\text{EMA}_{t-1} \times (1 - \alpha))$
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### SMMA (Smoothed Moving Average)
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Also known as Wilder's Smoothing. Has a longer "memory" than an EMA.
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$\text{SMMA}_t = \frac{(\text{SMMA}_{t-1} \times (N-1)) + P_t}{N}$
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### LWMA (Linear Weighted Moving Average)
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Applies linearly decreasing weights from the most recent price to the oldest.
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$\text{LWMA}_t = \frac{\sum_{i=0}^{N-1} P_{t-i} \times (N-i)}{\sum_{j=1}^{N} j}$
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### TMA (Triangular Moving Average)
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A double-smoothed average (SMA of an SMA) that emphasizes the middle of the data window. Extremely smooth.
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### DEMA (Double Exponential Moving Average)
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A lag-reduction technique by Patrick Mulloy.
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$\text{DEMA}_t = (2 \times \text{EMA}_1) - \text{EMA}_2$
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### TEMA (Triple Exponential Moving Average)
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An advanced lag-reduction technique using triple smoothing.
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$\text{TEMA}_t = (3 \times \text{EMA}_1) - (3 \times \text{EMA}_2) + \text{EMA}_3$
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## 3. MQL5 Implementation Details
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* **Universal Calculation Engine (`MovingAverage_Engine.mqh`):**
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The core logic is encapsulated in a robust engine that powers multiple indicators in our suite (including Stochastic Pro and MACD Pro).
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* **Versatility:** The engine supports calculations on both standard OHLC data and custom arrays (via `CalculateOnArray`), with advanced offset handling for complex indicators.
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* **Optimized Incremental Calculation (O(1)):**
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Unlike basic implementations, this indicator employs an intelligent incremental algorithm.
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* **State Tracking:** It utilizes `prev_calculated` to process only new bars.
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* **Persistent Buffers:** For recursive types (EMA, SMMA, DEMA, TEMA), internal buffers persist their state between ticks, ensuring seamless updates without full recalculation.
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* **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.
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* **Object-Oriented Design:**
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* A `CMovingAverageCalculator` base class handles the core math.
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* A `CMovingAverageCalculator_HA` derived class handles Heikin Ashi data preparation, ensuring clean separation of concerns.
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## 4. Parameters
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* **Period (`InpPeriod`):** The lookback period for the moving average calculation.
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* **MA Type (`InpMAType`):** Select from SMA, EMA, SMMA, LWMA, TMA, DEMA, TEMA.
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* **Applied Price (`InpSourcePrice`):** The source price (Standard or Heikin Ashi).
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## 5. Usage and Interpretation
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* **Trend Identification:**
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* **Bullish:** Price > MA and MA sloping up.
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* **Bearish:** Price < MA and MA sloping down.
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* **Dynamic Support/Resistance:** The MA line often acts as a bouncing point for price during trends.
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* **Crossovers:** Using two MAs (Fast and Slow) to generate buy/sell signals (Golden Cross / Death Cross).
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