Sqrtr1

Sqrtr1 is a compact, open-source numerical utility library that provides square root calculations and related numeric tools for multiple programming environments. The project aims to deliver accurate, portable, and efficient square root functionality suitable for both general-purpose software and resource-constrained environments. The name hints at a first iteration in a family of root-finding utilities and reflects an emphasis on simplicity and correctness.

Key features include a fast sqrt function, an inverse square root approximation, and a Newton-Raphson refinement path that improves estimates when higher precision is required. The library also supplies fixed-point helpers, range checks, and error-bounding utilities to support embedded and real-time applications. Language bindings or wrappers are provided for C, C++, Rust, and Python, with a minimal API surface designed to ease integration.

Design and implementation rely on a mix of portable algorithms and platform-optimized paths. Floating-point paths use standard IEEE-754 behavior with a small number of iterations to reach user-specified precision. Fixed-point paths perform appropriate scaling to preserve relative accuracy. Where available, the implementation leverages SIMD extensions to accelerate bulk computations while maintaining deterministic results for smaller inputs.

Origin and status: sqrtr1 originated as a community-driven project intended for education and practical use in systems programming. It is distributed under a permissive license and maintains an emphasis on readable code, unit tests, and continuous integration to ensure reliability across compilers and architectures.

Usage: developers typically call the sqrtr1_sqrt function with a numeric input and optional accuracy mode; the API also exposes helpers for rounding, clamping, and validation.

See also: square root, numerical methods, fast inverse square root, fixed-point arithmetic.