A simple math library with below features:
- Symbolic computation with support for:
- polynomials and sin/cos
- differentiating with respect to a specific variable
- substituting expressions based on given values
- limited simplifying
- Solve multivariate expressions using Newton-Raphson numerical method.
Install the package using
npm i amath-jsThen you can use the library as example below:
// Solving a system of two equations:
// 2x + y = 7
// x * y = 6
import { Sym as S, Solver } from 'amath-js';
let x = new S.Variable("x");
let y = new S.Variable("y");
let exprs = [
new S.Sum(S.cof(2, x), y, new S.Const(-7)),
new S.Sum(new S.Mul(x, y), new S.Const(-6)),
]
console.log("Expressions:");
console.log(exprs.map(e => e.toString()));
let initial = new Map([
[x, 0],
[y, 0],
]);
let solver = new Solver(exprs, initial);
solver.convergeToRMSE(1e-9);
let var_map = solver.var_map();
console.log("Results:")
console.log(var_map);
console.log("Evaluation of expressions:");
solver.exprs.forEach(e => {
console.log(e.toString(), ' = ', e.eval(var_map, false));
})There are more examples inside the examples directory. Also you can find documentation for the API in https://amin-not-found.github.io/amath-js.
- [ ] Abstract away sin and cos to general function derivation
- [ ] Add other functions
- [ ] Add more sophisticated simplification