diff --git a/Indicators/MyIndicators/TSI.md b/Indicators/MyIndicators/TSI.md index 19eaab6..bba95ea 100644 --- a/Indicators/MyIndicators/TSI.md +++ b/Indicators/MyIndicators/TSI.md @@ -2,14 +2,14 @@ ## 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 @@ -17,19 +17,26 @@ The TSI is calculated by double-smoothing both the price momentum and the absolu ### 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).