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merge: Added bisection method (#827)

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* feat: Added bisection method

* Auto-update DIRECTORY.md

Co-authored-by: ggkogkou <ggkogkou@ggkogkou.gr>
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
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ggkogkou
2021-10-31 19:00:46 +02:00
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parent f692da2448
commit 2619ab673f
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Maths/test/BisectionMethod.test.js Normal file
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import { findRoot } from '../BisectionMethod'
test('Equation f(x) = x^2 - 3*x + 2 = 0, has root x = 1 in [a, b] = [0, 1.5]', () => {
const root = findRoot(0, 1.5, (x) => { return Math.pow(x, 2) - 3 * x + 2 }, 8)
expect(root).toBe(0.9990234375)
})
test('Equation f(x) = ln(x) + sqrt(x) + π*x^2 = 0, has root x = 0.36247037 in [a, b] = [0, 10]', () => {
const root = findRoot(0, 10, (x) => { return Math.log(x) + Math.sqrt(x) + Math.PI * Math.pow(x, 2) }, 32)
expect(Number(Number(root).toPrecision(8))).toBe(0.36247037)
})
test('Equation f(x) = sqrt(x) + e^(2*x) - 8*x = 0, has root x = 0.93945851 in [a, b] = [0.5, 100]', () => {
const root = findRoot(0.5, 100, (x) => { return Math.exp(2 * x) + Math.sqrt(x) - 8 * x }, 32)
expect(Number(Number(root).toPrecision(8))).toBe(0.93945851)
})