Spirix

A floating-point mathematics library implementing signed-normalized arithmetic with fully configurable fraction and exponent components.

Overview

Spirix provides two core types using sign-normalized fraction/exponent representation:

• Circle<F, E>: Complex numbers with fraction F and shared exponent E
• Scalar<F, E>: Real numbers with fraction F and exponent E

Normalization ensures consistent properties by moving the sign bit to a fixed position and aligning the first value bit, enabling:

• Detection of undefined states (division by zero, etc.)
• Clean handling of infantesimal (escaped) large/small values
• Precise tracking of arithmetic undefined conditions
• Accurate representation of special values (zero, infinities)

Features

• Normalized Math: Consistent handling of all numeric edge cases
• Configurable Precision: Any Rust signed integer type (i8-i128) for components
• Full Math Support: Standard operations with error propagation
• Type Safety: Component sizes checked/optimized at compile time
• Clean Integration: Works with all Rust native numeric types

Status

This crate is currently under development. Full implementation coming soon.