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π-derived calibration constants for low-precision systems
Using π (or π-derived constants) for normalization, angular embeddings, periodic projections, and phase encoding gives a stable, universal reference that doesn’t align with powers of two or quantization boundaries.
This avoids resonance artifacts where values collapse into repeating buckets. In short: π breaks symmetry.
Structs§
- Angular
Frequency Table - Angular frequency table for SIMD-friendly operations
- PiCalibration
- π-derived calibration constants for a precision lane
Constants§
- PHI_
APPROX - Golden ratio derived from π for optimal distribution
- PI_
DIGITS - First 100 digits of π for deterministic seeding
- PI_
SCALE_ 3BIT - π-based scale factor for 3-bit quantization Chosen to avoid power-of-2 boundaries
- PI_
SCALE_ 5BIT - π-based scale factor for 5-bit quantization
- PI_
SCALE_ 7BIT - π-based scale factor for 7-bit quantization