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Toh4iem9
65 lines
3.9 KiB
Markdown
65 lines
3.9 KiB
Markdown
# Cutler's RSI Professional
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## 1. Summary (Introduction)
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Cutler's RSI is a variation of the classic Relative Strength Index (RSI). While the standard RSI uses Wilder's smoothing (an RMA/SMMA), Cutler's version uses a **Simple Moving Average (SMA)** to average the positive and negative price changes.
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Our professional toolkit provides a unified implementation of this indicator family:
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- **`CutlerRSI_Pro.mq5`**: Plots the main Cutler's RSI line and an **optional, configurable moving average signal line**.
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- **`CutlerRSI_Oscillator_Pro.mq5`**: Displays the difference between the RSI and its signal line as a histogram.
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Both indicators can be calculated using either **standard** or **Heikin Ashi** price data.
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## 2. Mathematical Foundations and Calculation Logic
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The core difference lies in the smoothing method applied to the price changes.
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### Calculation Steps (Algorithm)
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1. **Calculate Price Changes:** $\text{Change}_i = P_i - P_{i-1}$
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2. **Separate Positive and Negative Changes.**
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3. **Calculate the Simple Moving Average of Changes:**
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$\text{Avg Positive}_i = \text{SMA}(\text{Positive Change}, N)_i$
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$\text{Avg Negative}_i = \text{SMA}(\text{Negative Change}, N)_i$
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4. **Calculate the Relative Strength (RS) and Final RSI:**
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$\text{RS}_i = \frac{\text{Avg Positive}_i}{\text{Avg Negative}_i}$
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$\text{Cutler's RSI}_i = 100 - \frac{100}{1 + \text{RS}_i}$
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5. **Calculate the Signal Line & Oscillator:** The signal line is a moving average of the Cutler's RSI line, and the oscillator is the difference between the two.
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## 3. MQL5 Implementation Details
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Our MQL5 implementation follows a highly modular, object-oriented design.
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- **Unified Calculation Engine (`CutlerRSI_Calculator.mqh`):**
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The core logic is encapsulated in a robust engine.
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- **Composition:** The calculator internally uses our universal `MovingAverage_Engine.mqh` to handle the smoothing of the Signal Line. This allows for advanced smoothing types (like DEMA or TEMA) beyond the standard SMA.
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- **Reusability:** The `CutlerRSI_Oscillator_Pro` calculator uses composition to include the main `CCutlerRSICalculator`, ensuring that both indicators share the exact same mathematical foundation.
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- **Optimized Incremental Calculation (O(1)):**
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Unlike basic implementations that recalculate the entire history on every tick, 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:** Internal buffers persist their state between ticks.
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- **Selectable Display Mode:** The `CutlerRSI_Pro` indicator includes a `Display Mode` input that allows the user to show either the RSI line by itself or the RSI line together with its moving average signal line.
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## 4. Parameters
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- **RSI Period (`InpPeriodRSI`):** The lookback period for the SMA of price changes. (Default: `14`).
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- **Applied Price (`InpSourcePrice`):** The source price for the calculation. (Standard or Heikin Ashi).
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- **Signal Line Settings:**
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- `InpDisplayMode`: Toggles the visibility of the signal line.
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- `InpPeriodMA`: The lookback period for the signal line.
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- `InpMethodMA`: The type of moving average for the signal line. Supports: **SMA, EMA, SMMA, LWMA, TMA, DEMA, TEMA**.
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## 5. Usage and Interpretation
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The interpretation of Cutler's RSI is identical to the standard RSI.
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- **Overbought/Oversold Levels:** Identify overbought (typically above 70) and oversold (typically below 30) conditions.
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- **Crossovers:**
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- **Signal Line Crossover:** When the Cutler's RSI line crosses above its moving average, it can be seen as a bullish signal.
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- **Centerline Crossover:** A crossover of the RSI line above the 50 level indicates bullish momentum.
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- **Divergence:** Look for divergences between the RSI and the price action.
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- **Oscillator (Histogram):** The histogram provides a clear visual of the relationship between the Cutler's RSI and its signal line.
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