use-equation

Install

[dependencies]
use-equation = "0.0.6"

Optional low-degree polynomial bridging:

[dependencies]
use-equation = { version = "0.0.6", features = ["polynomial"] }

What belongs here

use-equation owns small, explicit equation-solving primitives over f64. It provides direct helpers for:

linear equations of the form ax + b = 0
quadratic equations of the form ax^2 + bx + c = 0
small 2x2 linear systems
reusable solving traits and equation wrapper structs

The crate stays intentionally small. It does not add symbolic algebra, arbitrary-precision arithmetic, iterative numerical methods, complex roots, or large linear system solvers in v1.

Neighboring crates

Crate	Responsibility
`use-equation`	Direct equation-solving helpers, result enums, and solving traits
`use-polynomial`	Polynomial representation and direct polynomial operations
`use-linear`	Higher-level linear algebra workflows and typed matrix-driven solves
`use-matrix`	Matrix primitives
`use-vector`	Vector primitives
`use-calculus`	Calculus workflows and derivative or integral helpers
`use-optimization`	Optimization routines that may consume equation models
`use-complex`	Complex numbers and complex roots
`use-numerical`	Iterative numerical root-finding methods

Examples

Solve a linear equation

use use_equation::{Roots, solve_linear};

assert_eq!(solve_linear(2.0, -4.0), Roots::One(2.0));

Solve a quadratic equation

use use_equation::{Roots, solve_quadratic};

assert_eq!(solve_quadratic(1.0, -3.0, 2.0), Roots::Two(1.0, 2.0));

Solve a 2x2 system

use use_equation::solve_2x2;

let solution = solve_2x2(
    2.0, 1.0, 5.0,
    1.0, -1.0, 1.0,
);

assert_eq!(solution, Some((2.0, 1.0)));

Use the `RootSolver` trait

use use_equation::{LinearEquation, RootSolver, Roots};

let equation = LinearEquation::new(2.0, -4.0);

assert_eq!(equation.solve(), Roots::One(2.0));

Status

use-equation is a concrete pre-1.0 crate in the RustUse math workspace. It keeps equation solving explicit and reusable so neighboring polynomial, numerical, linear algebra, simulation, optimization, and physics crates can build on a small shared surface.

use-equation 0.0.6