# Uniswap V3 Pricing Function Implementation

Implement the following Uniswap V3 pricing function with high precision: $ARGUMENTS

## Requirements:
1. Use `github.com/holiman/uint256` for all uint256 arithmetic
2. Ensure mathematical precision and numerical stability
3. Handle edge cases and boundary conditions
4. Include comprehensive test coverage
5. Provide performance benchmarks

## Implementation Guidelines:
- Follow the official Uniswap V3 whitepaper specifications
- Implement proper error handling for invalid inputs
- Document mathematical formulas and implementation decisions
- Optimize for performance while maintaining precision
- Consider caching strategies for expensive computations (Reference: SqrtPriceX96ToPriceCached achieved 24% performance improvement)

## Optimization Techniques (Based on Successful Implementations):
- Precompute expensive constants (e.g., `2^96`, `2^192`) to reduce computation time
- Minimize memory allocations in hot paths
- Consider object pooling for frequently created mathematical objects
- Use benchmarks to validate performance improvements