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Indicators/MyIndicators/TSI_Pro.md

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+# True Strength Index (TSI) Professional
+
+## 1. Summary (Introduction)
+
+The True Strength Index (TSI), developed by William Blau, is a momentum oscillator designed to provide a smoother and more reliable measure of market momentum by using a double-smoothing mechanism with Exponential Moving Averages (EMAs). It fluctuates around a zero line, providing clear signals for trend direction, momentum, and overbought/oversold conditions.
+
+Our `TSI_Pro` implementation is a unified, professional version that allows the 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 TSI is calculated by double-smoothing both the price momentum and the absolute price momentum, and then computing their ratio.
+
+### Required Components
+
+* **Slow Period (N_slow):** The period for the first, longer-term EMA smoothing (standard is 25).
+* **Fast Period (N_fast):** The period for the second, shorter-term EMA smoothing (standard is 13).
+* **Signal Period:** The period for the moving average signal line.
+* **Source Price (P):** The price series used for the calculation.
+
+### Calculation Steps (Algorithm)
+
+1. **Calculate Price Momentum:** For each bar, calculate the change in price from the previous bar.
+    $\text{Momentum}_i = P_i - P_{i-1}$
+2. **First EMA Smoothing (Slow Period):** Apply an `N_slow`-period EMA to both the `Momentum` and its absolute value.
+3. **Second EMA Smoothing (Fast Period):** Apply an `N_fast`-period EMA to the results of the first smoothing step.
+4. **Calculate the TSI Value:** Divide the double-smoothed momentum by the double-smoothed absolute momentum and scale the result to 100.
+    $\text{TSI}_i = 100 \times \frac{\text{EMA}_{\text{fast}}(\text{EMA}_{\text{slow}}(\text{Momentum}))_i}{\text{EMA}_{\text{fast}}(\text{EMA}_{\text{slow}}(\text{AbsMomentum}))_i}$
+5. **Calculate the Signal Line:** The signal line is a moving average of the TSI line itself.
+
+## 3. MQL5 Implementation Details
+
+Our MQL5 implementation follows a modern, object-oriented design to ensure stability, reusability, and maintainability.
+
+* **Modular Calculation Engine (`TSI_Calculator.mqh`):**
+    The entire calculation logic is encapsulated within a reusable include file.
+  * **`CTSICalculator`**: The base class that performs the full, multi-stage TSI calculation on a given source price.
+  * **`CTSICalculator_HA`**: A child class that inherits all the complex logic and only overrides the initial data preparation step to use smoothed Heikin Ashi prices as its input. This object-oriented approach eliminates code duplication.
+
+* **Stability via Full Recalculation:** We employ a "brute-force" full recalculation within `OnCalculate`. For a complex, multi-stage indicator like the TSI, this is the most reliable method to prevent calculation errors.
+
+* **Fully Manual EMA Calculations:** All EMA calculations are performed **manually**, with robust initialization to provide a stable starting point for the calculation chain.
+
+* **Flexible Signal Line:** The indicator includes a user-configurable moving average signal line, with a robust `switch` block that correctly handles all MA types (SMA, EMA, SMMA, LWMA).
+
+## 4. Parameters
+
+* **Slow Period (`InpSlowPeriod`):** The period for the first, longer-term EMA smoothing. Default is `25`.
+* **Fast Period (`InpFastPeriod`):** The period for the second, shorter-term EMA smoothing. Default is `13`.
+* **Applied Price (`InpSourcePrice`):** The source price for the calculation. This unified dropdown menu allows you to select from all standard and Heikin Ashi price types.
+* **Signal Line Settings:**
+  * `InpSignalPeriod`: The lookback period for the signal line. Default is `13`.
+  * `InpSignalMAType`: The type of moving average for the signal line. Default is `MODE_EMA`.
+
+## 5. Usage and Interpretation
+
+* **Zero Line Crossovers:** A crossover of the TSI line above the zero line indicates that long-term momentum has turned positive. A crossover below indicates negative momentum.
+* **Signal Line Crossovers:** These provide earlier, shorter-term momentum signals. A bullish crossover is when the TSI line crosses above its signal line; a bearish crossover is the opposite.
+* **Overbought/Oversold Levels:** The **+25 and -25** levels are often used to identify extreme momentum.
+* **Divergence:** Due to its smoothness, the TSI is excellent for spotting divergences between price and momentum, which can foreshadow reversals.