pocomath/test/complex/_all.mjs

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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', () => {
2022-07-31 18:08:07 +00:00
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
})
})