Crate ni_number 

ni-number

High-precision computation of the Ni constant (η_ν) — the quantum energy scattering constant.

Definition

The Ni constant is defined by the series:

η_ν = Σ (n=1..∞)  πⁿ / (n! · 2^(n²))

Value: 1.88937666040491913115597775087642096081019761538215…

Backends

Feature	Backend	Requires	Precision
backend-dashu	pure Rust	nothing (default)	arbitrary
backend-rug	GNU MPFR	MSYS2 on Windows	arbitrary

Quick start

# Cargo.toml — pure Rust, works on every platform
[dependencies]
ni-number = "1.0"

# Maximum performance via GNU MPFR
ni-number = { version = "1.0", features = ["backend-rug"] }

use ni_number::{NI_F64, ni_number_digits};

println!("η_ν ≈ {}", NI_F64);                // fast — pre-computed constant
println!("η_ν = {}", ni_number_digits(100));  // 100 decimal digits

Re-exports

pub use compute::digits_to_bits as bits_for_digits;

pub use constants::NI_50_DIGITS;

pub use constants::NI_F32;

pub use constants::NI_F64;

Modules

backend

Backend trait definitions for the Ni constant computation engine.

cache

Thread-safe cache for computed Ni constant values.

compute

Core algorithm for computing the Ni constant (η_ν).

constants

Pre-computed constants and formatting utilities for the Ni number.

series

Lazy iterator over the terms of the η_ν series.

Functions

clear_cache

Clear the internal cache and free its memory.

ni_number

Compute η_ν to precision_bits of internal bit precision.

ni_number_digits

Compute η_ν and return a decimal string with decimal_digits digits after the decimal point.

ni_series

Return a lazy iterator over the individual series terms.