Floating-Point Analysis
Purpose
Provides rigorous floating-point error analysis capabilities for numerical algorithm verification and accuracy assessment.
Capabilities
- IEEE 754 arithmetic modeling
- Roundoff error accumulation tracking
- Interval arithmetic computation
- Arbitrary precision arithmetic
- Numerical condition number computation
- Error bound derivation
Usage Guidelines
- Error Modeling: Model floating-point operations precisely
- Interval Arithmetic: Use interval bounds for guaranteed accuracy
- High Precision: Employ arbitrary precision for validation
- Error Bounds: Derive forward and backward error bounds
Tools/Libraries
- MPFR
- Arb
- Herbie
- FPBench