1.7 KiB
1.7 KiB
Verify Mathematical Precision
Verify the precision and correctness of the following mathematical implementation in the MEV bot: $ARGUMENTS
Verification Protocol:
1. Mathematical Correctness Analysis
- Review mathematical formulas against official specifications
- Validate implementation against known test cases
- Check boundary conditions and edge cases
- Verify precision handling for large numbers
2. Property-Based Testing
# Run property-based tests for mathematical functions
go test -v -run=Property ./pkg/uniswap/...
# Run fuzz tests for mathematical calculations
go test -fuzz=Fuzz ./pkg/uniswap/...
3. Precision Validation Areas
Uniswap V3 Calculations
- sqrtPriceX96 to price conversion accuracy
- Tick calculation correctness
- Liquidity-based calculation precision
- Price impact computation validation
Financial Calculations
- Profit calculation accuracy
- Gas estimation precision
- Slippage protection validation
- Fee calculation correctness
4. Comparison Testing
- Compare results with reference implementations
- Validate against on-chain data when possible
- Cross-check with other DeFi protocol implementations
- Benchmark against established mathematical libraries
Verification Steps:
- Static Analysis: Review code for mathematical correctness
- Unit Testing: Verify with known test cases
- Property Testing: Test mathematical invariants
- Fuzz Testing: Find edge cases with random inputs
- Comparison Testing: Validate against reference implementations
Output Requirements:
- Detailed correctness analysis report
- Precision validation results
- Edge case identification and handling
- Recommendations for improvements
- Test suite enhancements