115 lines
4.0 KiB
JavaScript
115 lines
4.0 KiB
JavaScript
import assert from 'assert'
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import math from '../../src/pocomath.mjs'
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describe('tuple', () => {
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it('can be created and provide its length', () => {
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assert.strictEqual(math.length(math.tuple(3, 5.2, 2)), 3)
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})
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it('does not allow unification by converting consecutive arguments', () => {
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assert.throws(() => math.tuple(3, 5.2, 2n), /TypeError.*unif/)
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// Hence, the order matters in a slightly unfortunate way,
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// but I think being a little ragged in these edge cases is OK:
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assert.throws(
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() => math.tuple(3, 2n, math.complex(5.2)),
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/TypeError.*unif/)
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assert.deepStrictEqual(
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math.tuple(3, math.complex(2n), 5.2),
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{elts: [math.complex(3), math.complex(2n), math.complex(5.2)]})
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})
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it('can be tested for zero and equality', () => {
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assert.strictEqual(math.isZero(math.tuple(0,1)), false)
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assert.strictEqual(math.isZero(math.tuple(0n,0n,0n,0n)), true)
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assert.strictEqual(math.isZero(math.tuple(0,0.001,0)), false)
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assert.deepStrictEqual(math.complex(0,0), {re: 0, im:0})
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assert.strictEqual(math.isZero(math.tuple(0,math.complex(0,0))), true)
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assert.strictEqual(
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math.equal(
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math.tuple(0,math.complex(0,0.1)),
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math.complex(math.tuple(0,0), math.tuple(0,0.1))),
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true)
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assert.strictEqual(
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math.equal(math.tuple(3n,2n), math.tuple(3,2)),
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false)
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})
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it('supports addition', () => {
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assert.deepStrictEqual(
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math.add(math.tuple(3,4,5), math.tuple(2,1,0)),
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math.tuple(5,5,5))
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assert.deepStrictEqual(
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math.add(math.tuple(3.25,4.5,5), math.tuple(3,3)),
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math.tuple(6.25,7.5,5))
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assert.deepStrictEqual(
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math.add(math.tuple(math.complex(2,3), 7), math.tuple(4, 5, 6)),
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math.tuple(math.complex(6,3), math.complex(12), math.complex(6)))
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assert.deepStrictEqual(
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math.add(math.tuple(5,6), 7),
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math.tuple(12,6))
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assert.deepStrictEqual(
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math.add(math.tuple(math.complex(5,4),6), 7),
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math.tuple(math.complex(12,4),math.complex(6)))
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})
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it('supports subtraction', () => {
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assert.deepStrictEqual(
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math.subtract(math.tuple(3n,4n,5n), math.tuple(2n,1n,0n)),
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math.tuple(1n,3n,5n))
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assert.throws(
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() => math.subtract(math.tuple(5,6), math.tuple(7)),
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/RangeError/)
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})
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it('makes a tuple of complex and conjugates it', () => {
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const complexTuple = math.tuple(
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math.complex(3,1), math.complex(4,2.2), math.complex(5,3))
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assert.deepStrictEqual(
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math.complex(math.tuple(3,4,5), math.tuple(1,2.2,3)),
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complexTuple)
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assert.deepStrictEqual(
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math.conjugate(complexTuple),
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math.tuple(math.complex(3,-1), math.complex(4,-2.2), math.complex(5,-3)))
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})
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it('supports division', () => {
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assert.deepStrictEqual(
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math.divide(math.tuple(3,4,5),math.tuple(1,2,2)),
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math.tuple(3,2,2.5))
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})
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it('supports multiplication', () => {
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assert.deepStrictEqual(
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math.multiply(math.tuple(3,4,5), math.tuple(1,2,2)),
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math.tuple(3,8,10))
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})
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it('supports one and zero', () => {
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assert.deepStrictEqual(
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math.one(math.tuple(2n,3n,0n)),
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math.tuple(1n,1n,1n))
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assert.deepStrictEqual(
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math.zero(math.tuple(math.complex(5,2), 3.4)),
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math.tuple(math.complex(0), math.complex(0)))
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})
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it('supports quotient and roundquotient', () => {
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const bigTuple = math.tuple(1n,2n,3n,4n,5n)
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const bigOnes = math.one(bigTuple)
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const threes = math.add(bigOnes, bigOnes, bigOnes)
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assert.deepStrictEqual(
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math.quotient(bigTuple, threes),
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math.tuple(0n, 0n, 1n, 1n, 1n))
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assert.deepStrictEqual(
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math.roundquotient(bigTuple, threes),
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math.tuple(0n, 1n, 1n, 1n, 2n))
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})
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it('supports sqrt', () => {
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assert.deepStrictEqual(
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math.sqrt(math.tuple(4,-4,2.25)),
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math.tuple(2, math.complex(0,2), 1.5))
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})
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})
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