BullTrader - ParabolicSARFlipSignals(NonRepainting)

🧠 Concept & Purpose
This indicator isolates the confirmed trend‑change events produced by the Parabolic SAR and turns them into direct, non‑repainting trade signals.
Instead of plotting every SAR dot as a potential entry, it marks only the bars where price has closed across the SAR line, confirming a genuine flip from bullish → bearish or vice versa.

Each confirmed flip is displayed with a single triangle on the chart and can be connected to alerts.
The design is intentionally minimal: one simple but reliable algorithmic definition of “the trend just turned.”

⚙️ How It Works
1. The script calculates the standard Parabolic SAR value using the built‑in ta.sar() function.
2. When a candle closes above a SAR dot that was previously above price → uptrend starts (Buy Signal).
3. When a candle closes below a SAR dot that was previously below price → downtrend starts (Sell Signal).
4. Signals are confirmed only after the bar closes (barstate.isconfirmed), guaranteeing no repainting.
5. Each event can trigger an alert or simply serve as a visual reversal marker.

📈 Chart Elements
Element Description
 🟠 Orange cross dots   Standard Parabolic SAR trail.
 🟢 Triangle below bar   Confirmed SAR flip up → new bullish phase.
 🔴 Triangle above bar   Confirmed SAR flip down → new bearish phase.
 Optional green/red background   Highlights bars where a confirmed flip occurred. 
🔔 Alerts
Use buySignalFinal for Buy alerts and sellSignalFinal for Sell alerts.
Set alerts to “Once per bar close” to match the non‑repainting confirmation logic.

📊 Best Use
* Identifying clear trend reversals.
* As an entry / exit overlay for manual trading.
* As a base signal for automated or alert‑driven systems.

This version keeps the indicator fast, reproducible, and completely non‑repainting — ideal for traders who prefer transparent and verifiable signals derived directly from Per J. Wilder’s original Parabolic SAR formula.