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# Trader's Dynamic Index (TDI) Professional
## 1. Summary (Introduction)
The Trader's Dynamic Index (TDI), developed by Dean Malone, is a comprehensive, "all-in-one" market analysis tool. It is a hybrid indicator that builds upon the Relative Strength Index (RSI), smoothing it with multiple moving averages and enveloping it in volatility bands to provide a simultaneous view of trend, momentum, and volatility.
Our `TDI_Pro` implementation is a unified, professional version that allows the underlying RSI 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 TDI is constructed in a layered, sequential process.
### Required Components
* **RSI Period:** The lookback period for the base RSI.
* **Price Line Period:** The period for the first, fastest moving average.
* **Signal Line Period:** The period for the second, slower moving average.
* **Base Line Period:** The period for the third, slowest moving average.
* **Bands Deviation:** The standard deviation multiplier.
* **Source Price:** The price series for the initial RSI calculation.
### Calculation Steps (Algorithm)
1. **Calculate the Base RSI:** First, a standard Wilder's RSI is calculated.
2. **Calculate the RSI Price Line (Fast Line):** The base RSI line is smoothed using a **Simple Moving Average (SMA)** with the `Price Line Period` (default 2).
* $\text{Price Line}_t = \text{SMA}(\text{RSI}, 2)_t$
3. **Calculate the Trade Signal Line (Slow Line):** The **Price Line** is smoothed again using an SMA with the `Signal Line Period` (default 7).
* $\text{Signal Line}_t = \text{SMA}(\text{Price Line}, 7)_t$
4. **Calculate the Market Base Line (Trend Line):** The **Price Line** is smoothed a third time, using a `Base Line Period` SMA (default 34).
* $\text{Base Line}_t = \text{SMA}(\text{Price Line}, 34)_t$
5. **Calculate the Volatility Bands:** Bollinger Bands are calculated around the **Base Line**. The standard deviation is calculated on the **base RSI**, using the `Base Line Period`.
* $\text{StdDev}_t = \text{StandardDeviation}(\text{RSI}, \text{Base Line Period})_t$
* $\text{Upper Band}_t = \text{Base Line}_t + (\text{Bands Deviation} \times \text{StdDev}_t)$
* $\text{Lower Band}_t = \text{Base Line}_t - (\text{Bands Deviation} \times \text{StdDev}_t)$
## 3. MQL5 Implementation Details
Our MQL5 implementation is a robust, definition-true representation of the TDI, built with a modular and stable architecture.
* **Component-Based Design:** The TDI calculator (`TDI_Calculator.mqh`) **reuses** our existing, standalone `RSI_Pro_Calculator.mqh` module. This eliminates code duplication and ensures that the base RSI is always our robust, definition-true Wilder's RSI.
* **Object-Oriented Logic:**
* The `CTDICalculator` base class contains a pointer to an `CRSIProCalculator` object.
* The Heikin Ashi version (`CTDICalculator_HA`) is achieved simply by instructing the main calculator to instantiate the Heikin Ashi version of the RSI module (`CRSIProCalculator_HA`).
* **Stability via Full Recalculation:** The TDI's calculation is highly state-dependent. To ensure perfect accuracy, our implementation employs a "brute-force" **full recalculation** on every tick.
## 4. Parameters
* **RSI Period (`InpRsiPeriod`):** The lookback period for the base RSI. Default is `13`.
* **Price Line Period (`InpPriceLinePeriod`):** The smoothing period for the fast (green) line. Default is `2`.
* **Signal Line Period (`InpSignalLinePeriod`):** The smoothing period for the slow (red) signal line. Default is `7`.
* **Base Line Period (`InpBaseLinePeriod`):** The smoothing period for the yellow trend line and the volatility bands. Default is `34`.
* **Bands Deviation (`InpBandsDeviation`):** The standard deviation multiplier for the blue volatility bands. The standard value is `1.618`.
* **Source Price (`InpSourcePrice`):** The price data for the base RSI calculation. This unified dropdown allows you to select from all standard and Heikin Ashi price types.
## 5. Usage and Interpretation
* **Trend Direction (Market Base Line - Yellow):** The yellow line indicates the overall medium-term trend.
* **Momentum (Price Line - Green):** The green line shows the short-term momentum.
* **Entry Signals (Green/Red Crossover):** The primary entry signal is the crossover of the green Price Line and the red Signal Line.
* **Volatility (Volatility Bands - Blue):** When the bands tighten (squeeze), it indicates low volatility. When they widen, it confirms a strong move is underway.
* **Caution:** The TDI is most effective when its signals are confirmed by price action and analysis of the market structure on the main chart.