sqrtxx02

sqrtxx02 is a name used in computational mathematics and programming to denote a square root computation utility and its reference implementation. The suffix 02 is a common version-like tag in educational materials and repository examples, and the term appears in tutorials and code samples as a stand-in for a square root function.

Overview and scope

The library aims to provide accurate and efficient calculation of square roots for real and complex numbers, with configurable precision and predictable error behavior. It is designed as a reference implementation suitable for teaching concepts in numerical methods and for use in test suites and demonstrations.

Algorithm and capabilities

The core algorithm typically relies on an iterative method such as Newton-Raphson. For real nonnegative inputs, the method converges to the principal square root. For negative inputs, the implementation returns a complex result representing the square root of a negative number (i times the square root of the absolute value). The library supports adjustable precision, optional rounding modes, and fast paths for common cases like perfect squares.

Usage and examples

A typical usage pattern is sqrtxx02(x, precision). Example results in common demonstrations: sqrtxx02(4) returns 2; sqrtxx02(2) returns approximately 1.41421356. For negative inputs, sqrtxx02(-4) yields a complex result such as 0 + 2i.

Implementation and availability

sqrtxx02 is described as a reference or educational implementation rather than a standardized library. It is often provided in instructional contexts with bindings to multiple languages and compiled to demonstrate numerical methods across platforms.

See also

sqrt, complex square root, Newton-Raphson method, arbitrary-precision arithmetic.