The Precision Gap: 32-bit vs. 64-bit Telemetry

In the majority of the Arduino world (AVR-based boards like the Uno or Nano), the double data type is actually just a 32-bit float. While sufficient for simple temperature sensing, this lack of precision is a major roadblock for GPS Navigation. When calculating distances over small areas or determining precision bearings, a 32-bit float introduces rounding errors that can translate to meters of inaccuracy. Gps64 is a mission-critical library designed to solve this by bringing True 64-bit Mathematical Frameworks to the Arduino ecosystem.

Engineering High-Accuracy Navigation

The Gps64 library integrates several advanced mathematical tools:

1. Float64 & Math64 Integration: It wraps low-level 64-bit math libraries into a user-friendly API, allowing you to perform calculations with the same $15-17$ digits of precision found on standard PCs.
2. Optimized Trigonometry: Precision comes at the cost of processing speed. Gps64 addresses this by including Fast and Ultra-Fast Implementations of Sine, Cosine, and Tangent functions, specifically tuned for microcontroller architectures.
3. Coordinate Math: The library provides robust functions for determining:
   • Haversine Distance: High-accuracy distance between two points on the Earth's surface.
   • Bearing: The exact compass heading from one point to another.
   • Destination Points: Calculating where you will end up given a starting point, distance, and heading.

Implementation and Use Cases

Gps64 is essential for any project requiring autonomous navigation or long-term data logging:

• Autonomous Drones & Rovers: Where centimeter-level navigation logic depends on precise angular calculations.
• Geospatial Tracking: Professional-grade loggers that need to map exact paths without the "jitter" caused by 32nd-bit truncation.
• Mathematical Research: Any academic project that requires double-precision math on low-power hardware.

By bridging the gap between hobbyist hardware and professional software standards, Gps64 turns your Arduino into a high-precision navigational computer.

I have always been frustrated by the missing double (64bit) type in the Arduino world and hence the problem with properly calculating GPS distance, bearing, and destination points. This library uses Float64 & Math64 libs and adds fast implementations of trigonometric functions to make GPS telemetry perfect.