mirror of
https://github.com/josdejong/mathjs.git
synced 2026-01-25 15:07:57 +00:00
eded7e1dc3
* nearlyEqual with absolute and relative tolerances * Format * nearlyEqual for bigNumber * Added skip for NaN * Reduce diff a bit * Issue with examples in jsdcos * Updated all calls for nearlyEqual * Fixed failing tests * Changed epsilon to relTol, absTol * Changed references to epsilon in docs and tests * Added warning for config.epsilon * Fix warning in zeta.test * Added config test * Added sinon to test console.warn --------- Co-authored-by: Jos de Jong <wjosdejong@gmail.com>
96 lines
5.7 KiB
JavaScript
96 lines
5.7 KiB
JavaScript
import { nearlyEqual } from '../../../../src/utils/bignumber/nearlyEqual.js'
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import assert from 'assert'
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import BigNumber from 'decimal.js'
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describe('nearlyEqual', function () {
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it('should test whether two BigNumbers are nearly equal', function () {
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const relTol = 1e-2; const absTol = 1e-5
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.9), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.95), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.98), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.99), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.991), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(1.1), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(1.05), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(1.02), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(1.01), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(1), relTol, absTol), true)
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// smaller relTol and absTol
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const relTol2 = 1e-4
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const absTol2 = 1e-7
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.99), relTol2, absTol2), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.999), relTol2, absTol2), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1), new BigNumber(0.9999), relTol2, absTol2), true)
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})
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it('should test whether a positive and negative number are nearly equal', function () {
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const relTol = 1e-3
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const absTol = 1e-6
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assert.strictEqual(nearlyEqual(new BigNumber(1.2), new BigNumber(1.2), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2), new BigNumber(-1.2), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(-1.2), new BigNumber(1.2), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(-1.2), new BigNumber(-1.2), relTol, absTol), true)
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})
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it('should test whether two large numbers are nearly equal', function () {
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const relTol = 1e-2
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const absTol = 1e-5
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assert.strictEqual(nearlyEqual(new BigNumber('1e500'), new BigNumber('0.90e500'), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber('1e500'), new BigNumber('0.95e500'), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber('1e500'), new BigNumber('0.98e500'), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber('1e500'), new BigNumber('0.99e500'), relTol, absTol), true)
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})
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it('should test whether two small numbers are nearly equal (always true)', function () {
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const relTol = 1e-2
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const absTol = 1e-5
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assert.strictEqual(nearlyEqual(new BigNumber('1e-200'), new BigNumber('0.99e-200'), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber('1e-200'), new BigNumber('10e-200'), relTol, absTol), true)
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})
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it('should compare with zero', function () {
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const relTol = 1e-3
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const absTol = 1e-6
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assert.strictEqual(nearlyEqual(new BigNumber(0), new BigNumber(0), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber(0), new BigNumber(-0), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber(0), new BigNumber(1.2), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(0), new BigNumber(1e30), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(0), new BigNumber(1e-3), relTol, absTol), false)
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})
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it('should compare with Infinity', function () {
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const relTol = 1e-3
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const absTol = 1e-6
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assert.strictEqual(nearlyEqual(new BigNumber(1.2), new BigNumber(Infinity), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(Infinity), new BigNumber(1.2), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(Infinity), new BigNumber(Infinity), relTol, absTol), true)
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assert.strictEqual(nearlyEqual(new BigNumber(Infinity), new BigNumber(-Infinity), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(-Infinity), new BigNumber(Infinity), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(-Infinity), new BigNumber(-Infinity), relTol, absTol), true)
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})
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it('should compare with NaN', function () {
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const relTol = 1e-3
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const absTol = 1e-6
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assert.strictEqual(nearlyEqual(new BigNumber(1.2), new BigNumber(NaN), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(NaN), new BigNumber(1.2), relTol, absTol), false)
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assert.strictEqual(nearlyEqual(new BigNumber(NaN), new BigNumber(NaN), relTol, absTol), false)
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})
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it('should use default values when absTol and relTol are undefined', function () {
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assert.strictEqual(nearlyEqual(new BigNumber(1.2), new BigNumber(1.2)), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2), new BigNumber(1.2), undefined), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2), new BigNumber(1.2), undefined, undefined), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2).plus(1e-18), new BigNumber(1.2)), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2).plus(1e-18), new BigNumber(1.2), undefined), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2).plus(1e-18), new BigNumber(1.2), undefined, undefined), true)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2).plus(1e-8), new BigNumber(1.2)), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2).plus(1e-8), new BigNumber(1.2), undefined), false)
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assert.strictEqual(nearlyEqual(new BigNumber(1.2).plus(1e-8), new BigNumber(1.2), undefined, undefined), false)
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})
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})
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