import { describe, expect, it } from '@jest/globals';
import { rootMagnitudeUpperBound_rouche } from '../../../src/roots/root-bounds/rouche/root-magnitude-upper-bound-rouche.js';


describe('rootMagnitudeUpperBound_rouche', function() {
    it('should correctly calculate upper bound magnitudes for the roots of some polynomials', 
    function() {
        let p1 = [2,-3,6,5,-130];
        let p2: number[] = [];
        let p3 = [3];
        // real roots at about -2.397918624065303 and 2.8793785310848383
        expect(rootMagnitudeUpperBound_rouche(p1)).toEqual(66);
        // real roots everywhere
        expect(rootMagnitudeUpperBound_rouche(p2)).toEqual(0);
        // real roots nowhere
        expect(rootMagnitudeUpperBound_rouche(p3)).toEqual(0);
    });
});