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8510b850ad
* fix: Handle bigints properly in more cases
* Allow a bigint to appear in a max/min of nonhomogeneous arguments
* If randomInt is called with a bigint or a pair of bigints, return
a bigint.
* Preserve uniformity of results if randomInt is called with a very large
range.
* Extend log, log2, and log10 to bigints
* Add tests for all of the above issues.
* Bonus: fix one JSDoc comment issue. If every PR fixes one, we will soon
get through the 150+
* fix: Refactors per comments and 1 bonus doc test (isInteger)
* chore: fix lint
---------
Co-authored-by: Jos de Jong <wjosdejong@gmail.com>
112 lines
4.6 KiB
JavaScript
112 lines
4.6 KiB
JavaScript
// test exp
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import assert from 'assert'
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import { approxDeepEqual } from '../../../../tools/approx.js'
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import math from '../../../../src/defaultInstance.js'
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const mathPredictable = math.create({ predictable: true })
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const complex = math.complex
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const matrix = math.matrix
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const unit = math.unit
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const log2 = math.log2
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describe('log2', function () {
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it('should return the log base 2 of a boolean', function () {
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assert.strictEqual(log2(true), 0)
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assert.strictEqual(log2(false), -Infinity)
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})
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it('should return the log base 2 of positive numbers', function () {
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assert.strictEqual(log2(1), 0)
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assert.strictEqual(log2(2), 1)
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approxDeepEqual(log2(3), 1.584962500721156)
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assert.strictEqual(log2(0.25), -2)
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assert.strictEqual(log2(0.5), -1)
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assert.strictEqual(log2(4), 2)
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assert.strictEqual(log2(8), 3)
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})
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it('should return the log base 2 of negative numbers', function () {
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approxDeepEqual(log2(-1), complex('0.000000000000000 + 4.532360141827194i'))
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approxDeepEqual(log2(-2), complex('1 + 4.532360141827194i'))
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approxDeepEqual(log2(-3), complex('1.584962500721156 + 4.532360141827194i'))
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})
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it('should return the log base 2 of negative numbers with predicable:true', function () {
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assert.strictEqual(typeof mathPredictable.log2(-1), 'number')
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assert(isNaN(mathPredictable.log2(-1)))
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})
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it('should return the log base 2 of zero', function () {
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approxDeepEqual(log2(0), -Infinity)
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})
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it('should return the log of positive bignumbers', function () {
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const bigmath = math.create({ precision: 100 })
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assert.deepStrictEqual(bigmath.log2(bigmath.bignumber(1)), bigmath.bignumber(0))
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assert.deepStrictEqual(bigmath.log2(bigmath.bignumber(2)), bigmath.bignumber(1))
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assert.deepStrictEqual(bigmath.log2(bigmath.bignumber(4)), bigmath.bignumber(2))
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assert.deepStrictEqual(bigmath.log2(bigmath.bignumber(8)), bigmath.bignumber(3))
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assert.deepStrictEqual(bigmath.log2(bigmath.bignumber(16)), bigmath.bignumber(4))
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assert.deepStrictEqual(bigmath.log2(bigmath.bignumber(2).pow(500)), bigmath.bignumber(500))
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})
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it('should return the log of negative bignumbers', function () {
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const bigmath = math.create({ precision: 100 })
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approxDeepEqual(bigmath.log2(bigmath.bignumber(-1)), bigmath.complex('0.000000000000000 + 4.532360141827194i'))
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approxDeepEqual(bigmath.log2(bigmath.bignumber(-2)), bigmath.complex('1 + 4.532360141827194i'))
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approxDeepEqual(bigmath.log2(bigmath.bignumber(-3)), bigmath.complex('1.584962500721156 + 4.532360141827194i'))
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})
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it('should return the log of a bignumber with value zero', function () {
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const bigmath = math.create({ precision: 100 })
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assert.deepStrictEqual(bigmath.log2(bigmath.bignumber(0)).toString(), '-Infinity')
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})
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it('should throw an error if used with a wrong number of arguments', function () {
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assert.throws(function () { log2() }, /TypeError: Too few arguments/)
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assert.throws(function () { log2(1, 2) }, /TypeError: Too many arguments/)
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})
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it('should return the log base 2 of a complex number', function () {
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approxDeepEqual(log2(complex(0, 1)), complex('2.2661800709135i'))
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approxDeepEqual(log2(complex(0, -1)), complex('-2.2661800709135i'))
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approxDeepEqual(log2(complex(1, 1)), complex('0.500000000000000 + 1.1330900354567985i'))
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approxDeepEqual(log2(complex(1, -1)), complex('0.500000000000000 - 1.1330900354567985i'))
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approxDeepEqual(log2(complex(-1, -1)), complex('0.500000000000000 - 3.399270106370395i'))
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approxDeepEqual(log2(complex(-1, 1)), complex('0.500000000000000 + 3.399270106370395i'))
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approxDeepEqual(log2(complex(1, 0)), complex(0, 0))
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})
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it('should return the log base two of a large bigint', function () {
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const two70 = 2n ** 70n
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assert.strictEqual(log2(two70), 70)
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})
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it('should throw an error when used on a unit', function () {
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assert.throws(function () { log2(unit('5cm')) })
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})
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it('should throw an error when used on a string', function () {
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assert.throws(function () { log2('text') })
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})
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it('should return the log base 2 of each element of a matrix', function () {
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const res = [0, 1, 1.584962500721156, 2]
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approxDeepEqual(log2([1, 2, 3, 4]), res)
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approxDeepEqual(log2(matrix([1, 2, 3, 4])), matrix(res))
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approxDeepEqual(math.divide(log2(matrix([1, 2, 3, 4])), math.LOG2E),
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matrix([0, 0.693147180559945, 1.098612288668110, 1.386294361119891]))
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approxDeepEqual(log2(matrix([[1, 2], [3, 4]])),
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matrix([[0, 1], [1.584962500721156, 2]]))
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})
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it('should LaTeX log2', function () {
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const expression = math.parse('log2(10)')
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assert.strictEqual(expression.toTex(), '\\log_{2}\\left(10\\right)')
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})
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})
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