import assert from 'assert' import math from '../../src/pocomath.mjs' import PocomathInstance from '../../src/core/PocomathInstance.mjs' import * as complexSqrt from '../../src/complex/sqrt.mjs' describe('complex', () => { it('supports division', () => { assert.deepStrictEqual( math.divide(math.complex(3,2), math.complex(0,1)), math.complex(2,-3)) const reciprocal = math.divide(1, math.complex(1,3)) assert.strictEqual(reciprocal.re, 0.1) assert.ok(Math.abs(reciprocal.im + 0.3) < 1e-13) }) it('supports sqrt', () => { assert.deepStrictEqual(math.sqrt(math.complex(1,0)), 1) assert.deepStrictEqual( math.sqrt(math.complex(0,1)), math.complex(math.sqrt(0.5), math.sqrt(0.5))) assert.deepStrictEqual( math.sqrt(math.complex(5, 12)), math.complex(3, 2)) math.config.predictable = true assert.deepStrictEqual(math.sqrt(math.complex(1,0)), math.complex(1,0)) assert.deepStrictEqual( math.sqrt(math.complex(0,1)), math.complex(math.sqrt(0.5), math.sqrt(0.5))) math.config.predictable = false }) it('can bundle sqrt', async function () { const ms = new PocomathInstance('Minimal Sqrt') ms.install(complexSqrt) await ms.importDependencies(['number', 'complex']) assert.deepStrictEqual( ms.sqrt(math.complex(0, -1)), math.complex(ms.negate(ms.sqrt(0.5)), ms.sqrt(0.5))) }) it('checks for equality', () => { assert.ok(math.equal(math.complex(3,0), 3)) assert.ok(math.equal(math.complex(3,2), math.complex(3, 2))) assert.ok(!(math.equal(math.complex(45n, 3n), math.complex(45n, -3n)))) assert.ok(!(math.equal(math.complex(45n, 3n), 45n))) }) it('computes gcd', () => { assert.deepStrictEqual( math.gcd(math.complex(53n, 56n), math.complex(47n, -13n)), math.complex(4n, 5n)) }) it('computes floor', () => { assert.deepStrictEqual( math.floor(math.complex(19, 22.7)), math.complex(19, 22)) const gi = math.complex(-1n, 1n) assert.strictEqual(math.floor(gi), gi) // literally a no-op }) })