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refactor: Full Engine Integration

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Indicators/MyIndicators/TSI.md
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## 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).
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.
Our professional implementation is an **indicator family** consisting of two versions, both powered by a single, universal calculation engine:
* **`TSI_Pro`:** The classic implementation, displaying the main TSI line and a signal line.
* **`TSI_Oscillator_Pro`:** A histogram version that displays the difference between the TSI and its signal line, providing a clearer view of momentum acceleration/deceleration.
Both indicators support calculations based on either **standard** or **Heikin Ashi** price data.
**Pro Features:** Both indicators support calculations based on either **standard** or **Heikin Ashi** price data, and offer unprecedented customization by allowing traders to replace the standard EMAs with other smoothing methods (like SMA, DEMA, or TEMA) for every step of the calculation.
## 2. Mathematical Foundations and Calculation Logic
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### 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).
* **Slow Period (N_slow):** The period for the first, longer-term smoothing (standard is 25).
* **Fast Period (N_fast):** The period for the second, shorter-term 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:** $\text{Momentum}_i = P_i - P_{i-1}$
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.
2. **First Smoothing (Slow Period):** Apply an `N_slow`-period Moving Average to both the `Momentum` and its absolute value.
* *Classic TSI uses EMA here.*
3. **Second Smoothing (Fast Period):** Apply an `N_fast`-period Moving Average to the results of the first smoothing step.
* *Classic TSI uses EMA here.*
4. **Calculate the TSI Value:** Divide the double-smoothed momentum by the double-smoothed absolute momentum and scale the result to 100.
$\text{TSI}_i = 100 \times \frac{\text{EMA}_{\text{fast}}(\text{EMA}_{\text{slow}}(\text{Momentum}))_i}{\text{EMA}_{\text{fast}}(\text{EMA}_{\text{slow}}(\text{AbsMomentum}))_i}$
$\text{TSI}_i = 100 \times \frac{\text{MA}_{\text{fast}}(\text{MA}_{\text{slow}}(\text{Momentum}))_i}{\text{MA}_{\text{fast}}(\text{MA}_{\text{slow}}(\text{AbsMomentum}))_i}$
5. **Calculate the Signal Line:** The signal line is a moving average of the TSI line itself.
6. **Calculate the Oscillator (Histogram):** The difference between the TSI and the Signal Line.
$\text{Oscillator}_i = \text{TSI}_i - \text{Signal}_i$
@@ -37,45 +44,48 @@ The TSI is calculated by double-smoothing both the price momentum and the absolu
Our MQL5 implementation follows a modern, component-based, object-oriented design.
* **Centralized Calculation Engine (`TSI_Calculator.mqh`):**
The core of our implementation is a single, powerful calculation engine. This include file contains the complete, definition-true logic for calculating both the TSI and its signal line. It supports both standard and Heikin Ashi data sources through class inheritance (`CTSICalculator` and `CTSICalculator_HA`).
* **Full Engine Integration:**
The core TSI calculator (`TSI_Calculator.mqh`) is a powerful orchestrator that utilizes **five** instances of our universal `MovingAverage_Engine.mqh`:
1. **Slow Momentum Engine:** Smooths raw momentum.
2. **Fast Momentum Engine:** Double-smooths the result.
3. **Slow Abs Momentum Engine:** Smooths absolute momentum.
4. **Fast Abs Momentum Engine:** Double-smooths the result.
5. **Signal Engine:** Smooths the final TSI line.
This architecture allows for extreme flexibility while maintaining code consistency.
* **Optimized Incremental Calculation:**
* **Optimized Incremental Calculation (O(1)):**
Unlike basic implementations that recalculate the entire history on every tick, this indicator employs an intelligent incremental algorithm.
* It utilizes the `prev_calculated` state to determine the exact starting point for updates.
* **Persistent State:** The internal buffers (like `m_ema1_mtm`, `m_ema2_mtm`) persist their state between ticks. This allows the recursive EMA calculations to continue seamlessly from the last known value without re-processing the entire history.
* This results in **O(1) complexity** per tick, ensuring instant updates and zero lag.
* **State Tracking:** It utilizes `prev_calculated` to process only new bars.
* **Persistent Buffers:** Internal buffers persist their state between ticks.
* **Robust Offset Handling:** The engine correctly handles the initialization periods of the chained calculations.
* **Specialized Wrapper (`TSI_Oscillator_Calculator.mqh`):**
The oscillator indicator uses a thin "wrapper" class that utilizes the central engine. The wrapper's role is to:
1. Instantiate the correct engine (standard or HA).
2. Call the engine to get the calculated TSI and Signal lines.
3. Perform one final step: calculate the difference between the two lines to produce the histogram.
This approach ensures that both the `TSI_Pro` and `TSI_Oscillator_Pro` indicators are always based on the exact same core calculation logic.
* **Composition with MA Engine:** The TSI calculator internally uses our robust `MovingAverage_Engine` to calculate the Signal Line, ensuring consistency with other indicators.
* **Composition Pattern (Oscillator):**
The `TSI_Oscillator_Calculator` uses composition instead of inheritance. It internally owns and manages an instance of the main `CTSICalculator`. This ensures that the Oscillator version uses exactly the same mathematical logic as the Line version, guaranteeing 100% consistency.
## 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.
* **TSI Calculation Settings:**
* `InpSlowPeriod`: The period for the first smoothing step. (Default: `25`).
* `InpSlowMAType`: The MA type for the first smoothing. Set to **EMA** for classic TSI behavior. (Default: `EMA`).
* `InpFastPeriod`: The period for the second smoothing step. (Default: `13`).
* `InpFastMAType`: The MA type for the second smoothing. Set to **EMA** for classic TSI behavior. (Default: `EMA`).
* `InpSourcePrice`: The source price for the calculation. (Standard or Heikin Ashi).
* **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`.
* `InpSignalPeriod`: The lookback period for the signal line. (Default: `13`).
* `InpSignalMAType`: The type of moving average for the signal line. (Default: `EMA`).
## 5. Usage and Interpretation
### `TSI_Pro` (Line Chart)
* **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.
* **Zero Line Crossovers:** A crossover of the TSI line above the zero line indicates that long-term momentum has turned positive.
* **Signal Line Crossovers:** These provide earlier, shorter-term momentum signals.
* **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.
* **Divergence:** Excellent for spotting divergences between price and momentum.
### `TSI_Oscillator_Pro` (Histogram)
* **Histogram > 0:** The TSI is above its signal line (bullish momentum).
* **Histogram < 0:** The TSI is below its signal line (bearish momentum).
* **Growing Histogram:** Momentum is accelerating in the current direction.
* **Shrinking Histogram:** Momentum is decelerating, which can be an early warning of a potential crossover and trend change.
* **Growing Histogram:** Momentum is accelerating.
* **Shrinking Histogram:** Momentum is decelerating (potential reversal warning).