use-polynomial

Install

[dependencies]
use-polynomial = "0.0.5"

What belongs here

use-polynomial owns concrete polynomial representation and direct polynomial operations over f64 coefficients. It provides construction, degree handling, evaluation, derivatives, integrals, arithmetic, and small real-root helpers for degree 1 and 2 workflows.

Coefficient ordering is explicit: coefficients[i] is the coefficient for x^i, so 3 + 2x + x^2 is stored as vec![3.0, 2.0, 1.0].

The zero polynomial is represented as an empty coefficient vector. That keeps degree() and leading_coefficient() explicit by returning None for the zero polynomial.

Neighboring crates

Crate	Responsibility
`use-polynomial`	Polynomial representation and direct polynomial operations
`use-equation`	Equation-solving workflows built on polynomial expressions
`use-numerical`	Iterative numerical methods and higher-degree root finding
`use-calculus`	Calculus concepts and function-based derivative workflows
`use-complex`	Complex numbers and complex roots
`use-algebra`	Algebraic structures and law checking
`use-real`	Real-number wrappers and real-specific policy
`use-optimization`	Optimization routines that may consume polynomial models

use-polynomial intentionally does not define symbolic algebra, interpolation frameworks, arbitrary-precision arithmetic, or complex roots in v1.

Examples

Construct, inspect, and evaluate

use use_polynomial::Polynomial;

let p = Polynomial::new(vec![3.0, 2.0, 1.0]);

assert_eq!(p.degree(), Some(2));
assert_eq!(p.evaluate(2.0), 11.0);

Differentiate a polynomial

use use_polynomial::Polynomial;

let p = Polynomial::new(vec![3.0, 2.0, 1.0]);
let derivative = p.derivative();

assert_eq!(derivative.coefficients(), &[2.0, 2.0]);

Solve a quadratic with real roots

use use_polynomial::quadratic_roots;

let roots = quadratic_roots(1.0, -3.0, 2.0);

assert_eq!(roots, vec![1.0, 2.0]);

Status

use-polynomial is a concrete pre-1.0 crate in the RustUse math workspace. The API stays small and explicit so adjacent equation, numerical, calculus, algebra, complex, geometry, real-number, and optimization crates can build on a single focused polynomial surface.

use-polynomial 0.0.5