README.md

hybrid_phi

High-accuracy numerical approximation using a φ-based hybrid method.

This Rust library provides a fast, compact and reversible approximation for real numbers using a precomputed exponential φ-basis and a smooth linear correction.

✨ Features

• Machine-level precision (~1e-14)
• Precomputed lookup table (φ[1..32])
• Suitable for embedded/AI/quantized data
• Simple implementation: 1 multiplication + 1 correction

📦 Usage

Add to your Cargo.toml:

[dependencies]
hybrid_phi = "0.1.0"

🔧 Example

use hybrid_phi::hybrid_phi_approximate;

fn main() {
    let x = 123.456;
    let approx = hybrid_phi_approximate(x, 10);
    println!("Approximated value: {}", approx);
}

📚 Algorithm

w ≈ a · φ(N) · (1 - r + r / √2)

Where:

• φ(N) = ∑ j · exp(1 / (2j))
• a = w / φ, r = w - aφ

🔐 License

🚫 Commercial use requires a separate license. Contact info@paxintrade.com

© 2025 Idan Kaminer — author of the method and implementation.