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309 lines
22 KiB
JavaScript
309 lines
22 KiB
JavaScript
// test format
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import assert from 'assert'
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import math from '../../../../src/bundleAny'
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describe('format', function () {
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it('should format numbers', function () {
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assert.strictEqual(math.format(2 / 7), '0.2857142857142857')
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assert.strictEqual(math.format(0.10400), '0.104')
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assert.strictEqual(math.format(2.3), '2.3')
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assert.strictEqual(math.format(2.3e6), '2.3e+6')
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})
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it('should format strings', function () {
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assert.strictEqual(math.format('hello'), '"hello"')
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})
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it('should format arrays', function () {
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assert.strictEqual(math.format([[1, 2], [3, 4]]), '[[1, 2], [3, 4]]')
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const array = [[math.unit(2 / 3, 'm'), 2 / 7], ['hi', math.complex(2, 1 / 3)]]
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assert.strictEqual(math.format(array, 5), '[[0.66667 m, 0.28571], ["hi", 2 + 0.33333i]]')
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})
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it('should format complex values', function () {
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assert.strictEqual(math.format(math.divide(math.complex(2, 5), 3)), '0.6666666666666666 + 1.6666666666666667i')
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assert.strictEqual(math.format(math.divide(math.complex(2, 5), 3), 5), '0.66667 + 1.6667i')
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assert.strictEqual(math.format(math.divide(math.complex(2, 5), 3), { notation: 'fixed', precision: 1 }), '0.7 + 1.7i')
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assert.strictEqual(math.format(math.divide(math.complex(6, 9), 3), { notation: 'fixed' }), '2 + 3i')
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assert.strictEqual(math.format(math.complex(NaN, NaN)), 'NaN + NaNi')
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assert.strictEqual(math.format(math.complex(Infinity, Infinity)), 'Infinity + Infinityi')
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assert.strictEqual(math.format(math.complex(Infinity, -Infinity)), 'Infinity - Infinityi')
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})
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describe('precision', function () {
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it('should format numbers with given precision', function () {
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assert.strictEqual(math.format(1 / 3), '0.3333333333333333')
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assert.strictEqual(math.format(1 / 3, 3), '0.333')
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assert.strictEqual(math.format(1 / 3, 4), '0.3333')
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assert.strictEqual(math.format(1 / 3, 5), '0.33333')
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assert.strictEqual(math.format(math.complex(1 / 3, 2), 3), '0.333 + 2i')
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})
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it('should format complex numbers with given precision', function () {
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assert.strictEqual(math.format(math.complex(1 / 3, 1 / 3), 3), '0.333 + 0.333i')
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assert.strictEqual(math.format(math.complex(1 / 3, 1 / 3), 4), '0.3333 + 0.3333i')
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})
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it('should format matrices with given precision', function () {
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assert.strictEqual(math.format([1 / 3, 1 / 3], 3), '[0.333, 0.333]')
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assert.strictEqual(math.format([1 / 3, 1 / 3], 4), '[0.3333, 0.3333]')
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assert.strictEqual(math.format(math.matrix([1 / 3, 1 / 3]), 4), '[0.3333, 0.3333]')
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})
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it('should format units with given precision', function () {
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assert.strictEqual(math.format(math.unit(2 / 3, 'm'), 3), '0.667 m')
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assert.strictEqual(math.format(math.unit(2 / 3, 'm'), 4), '0.6667 m')
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})
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it('should format ranges with given precision', function () {
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assert.strictEqual(math.format(new math.Range(1 / 3, 4 / 3, 2 / 3), 3), '0.333:0.667:1.33')
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})
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})
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describe('engineering notation', function () {
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it('should format positive single digit to engineering notation', function () {
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assert.strictEqual(math.format(3, { notation: 'engineering' }), '3e+0')
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})
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it('should format positive two digits to engineering notation', function () {
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assert.strictEqual(math.format(30, { notation: 'engineering' }), '30e+0')
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})
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it('should format positive three digits to engineering notation', function () {
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assert.strictEqual(math.format(300, { notation: 'engineering' }), '300e+0')
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})
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it('should format positive four digits to engineering notation', function () {
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assert.strictEqual(math.format(3000, { notation: 'engineering' }), '3e+3')
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})
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it('should format positive uneven four digits to engineering notation', function () {
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assert.strictEqual(math.format(3001, { notation: 'engineering' }), '3.001e+3')
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})
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it('should format positive uneven ten digits to engineering notation', function () {
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assert.strictEqual(math.format(3741293481, { notation: 'engineering' }), '3.741293481e+9')
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})
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it('should format negative uneven ten digits to engineering notation', function () {
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assert.strictEqual(math.format(-3741293481, { notation: 'engineering' }), '-3.741293481e+9')
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})
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it('should format positive single digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(0.1, { notation: 'engineering' }), '100e-3')
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})
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it('should format positive two digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(0.01, { notation: 'engineering' }), '10e-3')
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})
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it('should format positive three digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(0.003, { notation: 'engineering' }), '3e-3')
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})
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it('should format positive repeating three digit floating point numbers to engineering notation with precision', function () {
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assert.strictEqual(math.format(1 / 3, { precision: 3, notation: 'engineering' }), '333e-3')
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})
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it('should format positive seven digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(0.1234567, { notation: 'engineering' }), '123.4567e-3')
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})
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it('should format negative single digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(-0.1, { notation: 'engineering' }), '-100e-3')
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})
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it('should format positive floating point number to engineering notation', function () {
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assert.strictEqual(math.format(13308.0333333333, { precision: 11, notation: 'engineering' }), '13.308033333e+3')
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})
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it('should add or remove zeroes if necessary to output precision sig figs', function () {
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assert.strictEqual(math.format(12400, { notation: 'engineering', precision: 2 }), '12e+3')
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assert.strictEqual(math.format(12400, { notation: 'engineering', precision: 3 }), '12.4e+3')
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assert.strictEqual(math.format(124000, { notation: 'engineering', precision: 3 }), '124e+3')
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assert.strictEqual(math.format(124000, { notation: 'engineering', precision: 4 }), '124.0e+3')
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assert.strictEqual(math.format(12400, { notation: 'engineering', precision: 7 }), '12.40000e+3')
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assert.strictEqual(math.format(12400, { notation: 'engineering', precision: 8 }), '12.400000e+3')
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assert.strictEqual(math.format(12400, { notation: 'engineering', precision: 9 }), '12.4000000e+3')
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assert.strictEqual(math.format(-12400, { notation: 'engineering', precision: 7 }), '-12.40000e+3')
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assert.strictEqual(math.format(0.0124, { notation: 'engineering', precision: 7 }), '12.40000e-3')
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assert.strictEqual(math.format(0.00124, { notation: 'engineering', precision: 7 }), '1.240000e-3')
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assert.strictEqual(math.format(0.000124, { notation: 'engineering', precision: 7 }), '124.0000e-6')
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assert.strictEqual(math.format(0.000124, { notation: 'engineering', precision: 4 }), '124.0e-6')
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assert.strictEqual(math.format(0.000124, { notation: 'engineering', precision: 3 }), '124e-6')
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assert.strictEqual(math.format(1.24, { notation: 'engineering', precision: 3 }), '1.24e+0')
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// less significant figures than precision, need to add zeros
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assert.strictEqual(math.format(-1e12, { notation: 'engineering', precision: 3 }), '-1.00e+12')
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assert.strictEqual(math.format(-1e11, { notation: 'engineering', precision: 3 }), '-100e+9')
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assert.strictEqual(math.format(-1e10, { notation: 'engineering', precision: 3 }), '-10.0e+9')
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assert.strictEqual(math.format(-1e9, { notation: 'engineering', precision: 3 }), '-1.00e+9')
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assert.strictEqual(math.format(1e12, { notation: 'engineering', precision: 3 }), '1.00e+12')
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assert.strictEqual(math.format(1e11, { notation: 'engineering', precision: 3 }), '100e+9')
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assert.strictEqual(math.format(1e10, { notation: 'engineering', precision: 3 }), '10.0e+9')
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assert.strictEqual(math.format(1e9, { notation: 'engineering', precision: 3 }), '1.00e+9')
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assert.strictEqual(math.format(1e12, { notation: 'engineering', precision: 2 }), '1.0e+12')
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assert.strictEqual(math.format(1e11, { notation: 'engineering', precision: 2 }), '100e+9')
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assert.strictEqual(math.format(1e10, { notation: 'engineering', precision: 2 }), '10e+9')
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assert.strictEqual(math.format(1e9, { notation: 'engineering', precision: 2 }), '1.0e+9')
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assert.strictEqual(math.format(1e12, { notation: 'engineering', precision: 1 }), '1e+12')
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assert.strictEqual(math.format(1e11, { notation: 'engineering', precision: 1 }), '100e+9')
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assert.strictEqual(math.format(1e10, { notation: 'engineering', precision: 1 }), '10e+9')
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assert.strictEqual(math.format(1e9, { notation: 'engineering', precision: 1 }), '1e+9')
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assert.strictEqual(math.format(10e3, { notation: 'engineering', precision: 2 }), '10e+3')
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assert.strictEqual(math.format(10e3, { notation: 'engineering', precision: 1 }), '10e+3')
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assert.strictEqual(math.format(100e3, { notation: 'engineering', precision: 2 }), '100e+3')
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assert.strictEqual(math.format(100e3, { notation: 'engineering', precision: 1 }), '100e+3')
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assert.strictEqual(math.format(100, { notation: 'engineering', precision: 2 }), '100e+0')
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assert.strictEqual(math.format(10, { notation: 'engineering', precision: 2 }), '10e+0')
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assert.strictEqual(math.format(10, { notation: 'engineering', precision: 1 }), '10e+0')
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assert.strictEqual(math.format(1, { notation: 'engineering', precision: 2 }), '1.0e+0')
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assert.strictEqual(math.format(10e-3, { notation: 'engineering', precision: 2 }), '10e-3')
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assert.strictEqual(math.format(100e-3, { notation: 'engineering', precision: 2 }), '100e-3')
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assert.strictEqual(math.format(100e-3, { notation: 'engineering', precision: 1 }), '100e-3')
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assert.strictEqual(math.format(1e-3, { notation: 'engineering', precision: 1 }), '1e-3')
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assert.strictEqual(math.format(1e-4, { notation: 'engineering', precision: 1 }), '100e-6')
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assert.strictEqual(math.format(1e-5, { notation: 'engineering', precision: 1 }), '10e-6')
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assert.strictEqual(math.format(1e-6, { notation: 'engineering', precision: 1 }), '1e-6')
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assert.strictEqual(math.format(1e-3, { notation: 'engineering', precision: 3 }), '1.00e-3')
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assert.strictEqual(math.format(1e-4, { notation: 'engineering', precision: 3 }), '100e-6')
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assert.strictEqual(math.format(1e-5, { notation: 'engineering', precision: 3 }), '10.0e-6')
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assert.strictEqual(math.format(1e-6, { notation: 'engineering', precision: 3 }), '1.00e-6')
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assert.strictEqual(math.format(-1e-3, { notation: 'engineering', precision: 3 }), '-1.00e-3')
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assert.strictEqual(math.format(-1e-4, { notation: 'engineering', precision: 3 }), '-100e-6')
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assert.strictEqual(math.format(-1e-5, { notation: 'engineering', precision: 3 }), '-10.0e-6')
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assert.strictEqual(math.format(-1e-6, { notation: 'engineering', precision: 3 }), '-1.00e-6')
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})
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})
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describe('bignumber', function () {
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const bigmath = math.create({ precision: 20 }) // ensure the precision is 20 digits
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it('should format big numbers', function () {
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assert.strictEqual(math.format(bigmath.bignumber(2).dividedBy(7)), '0.28571428571428571429')
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assert.strictEqual(math.format(bigmath.bignumber(0.10400)), '0.104')
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assert.strictEqual(math.format(bigmath.bignumber(2.3)), '2.3')
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assert.strictEqual(math.format(bigmath.bignumber(2.3e6)), '2.3e+6')
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})
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it('should format big numbers with given precision', function () {
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const oneThird = bigmath.bignumber(1).div(3)
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assert.strictEqual(bigmath.format(oneThird), '0.33333333333333333333') // 20 digits
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assert.strictEqual(bigmath.format(oneThird, 3), '0.333')
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assert.strictEqual(bigmath.format(oneThird, 4), '0.3333')
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assert.strictEqual(bigmath.format(oneThird, 5), '0.33333')
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assert.strictEqual(bigmath.format(oneThird, 18), '0.333333333333333333')
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})
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describe('engineering notation', function () {
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const bignumber = math.bignumber
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it('should format positive single digit to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(3), { notation: 'engineering' }), '3e+0')
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})
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it('should format positive two digits to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(30), { notation: 'engineering' }), '30e+0')
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})
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it('should format positive three digits to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(300), { notation: 'engineering' }), '300e+0')
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})
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it('should format positive four digits to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(3000), { notation: 'engineering' }), '3e+3')
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})
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it('should format positive uneven four digits to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(3001), { notation: 'engineering' }), '3.001e+3')
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})
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it('should format positive uneven ten digits to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(3741293481), { notation: 'engineering' }), '3.741293481e+9')
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})
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it('should format negative uneven ten digits to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(-3741293481), { notation: 'engineering' }), '-3.741293481e+9')
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})
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it('should format positive single digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(0.1), { notation: 'engineering' }), '100e-3')
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})
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it('should format positive two digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(0.01), { notation: 'engineering' }), '10e-3')
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})
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it('should format positive three digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(0.003), { notation: 'engineering' }), '3e-3')
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})
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it('should format positive repeating three digit floating point numbers to engineering notation with precision', function () {
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assert.strictEqual(math.format(bignumber(1).div(3), { precision: 3, notation: 'engineering' }), '333e-3')
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})
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it('should format positive seven digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(0.1234567), { notation: 'engineering' }), '123.4567e-3')
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})
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it('should format negative single digit floating point numbers to engineering notation', function () {
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assert.strictEqual(math.format(bignumber(-0.1), { notation: 'engineering' }), '-100e-3')
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})
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it('should format positive floating point number to engineering notation', function () {
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assert.strictEqual(math.format(bignumber('13308.0333333333'), { precision: 11, notation: 'engineering' }), '13.308033333e+3')
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})
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it('should add or remove zeroes if necessary to output precision sig figs', function () {
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assert.strictEqual(math.format(bignumber(12400), { notation: 'engineering', precision: 2 }), '12e+3')
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assert.strictEqual(math.format(bignumber(12400), { notation: 'engineering', precision: 3 }), '12.4e+3')
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assert.strictEqual(math.format(bignumber(124000), { notation: 'engineering', precision: 3 }), '124e+3')
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assert.strictEqual(math.format(bignumber(124000), { notation: 'engineering', precision: 4 }), '124.0e+3')
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assert.strictEqual(math.format(bignumber(12400), { notation: 'engineering', precision: 7 }), '12.40000e+3')
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assert.strictEqual(math.format(bignumber(12400), { notation: 'engineering', precision: 8 }), '12.400000e+3')
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assert.strictEqual(math.format(bignumber(12400), { notation: 'engineering', precision: 9 }), '12.4000000e+3')
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assert.strictEqual(math.format(bignumber(-12400), { notation: 'engineering', precision: 7 }), '-12.40000e+3')
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assert.strictEqual(math.format(bignumber(0.0124), { notation: 'engineering', precision: 7 }), '12.40000e-3')
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assert.strictEqual(math.format(bignumber(0.00124), { notation: 'engineering', precision: 7 }), '1.240000e-3')
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assert.strictEqual(math.format(bignumber(0.000124), { notation: 'engineering', precision: 7 }), '124.0000e-6')
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assert.strictEqual(math.format(bignumber(0.000124), { notation: 'engineering', precision: 4 }), '124.0e-6')
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assert.strictEqual(math.format(bignumber(0.000124), { notation: 'engineering', precision: 3 }), '124e-6')
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assert.strictEqual(math.format(bignumber(1.24), { notation: 'engineering', precision: 3 }), '1.24e+0')
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// less significant figures than precision, need to add zeros
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assert.strictEqual(math.format(bignumber(-1e12), { notation: 'engineering', precision: 3 }), '-1.00e+12')
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assert.strictEqual(math.format(bignumber(-1e11), { notation: 'engineering', precision: 3 }), '-100e+9')
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assert.strictEqual(math.format(bignumber(-1e10), { notation: 'engineering', precision: 3 }), '-10.0e+9')
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assert.strictEqual(math.format(bignumber(-1e9), { notation: 'engineering', precision: 3 }), '-1.00e+9')
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assert.strictEqual(math.format(bignumber(1e12), { notation: 'engineering', precision: 3 }), '1.00e+12')
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assert.strictEqual(math.format(bignumber(1e11), { notation: 'engineering', precision: 3 }), '100e+9')
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assert.strictEqual(math.format(bignumber(1e10), { notation: 'engineering', precision: 3 }), '10.0e+9')
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assert.strictEqual(math.format(bignumber(1e9), { notation: 'engineering', precision: 3 }), '1.00e+9')
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assert.strictEqual(math.format(bignumber(1e12), { notation: 'engineering', precision: 2 }), '1.0e+12')
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assert.strictEqual(math.format(bignumber(1e11), { notation: 'engineering', precision: 2 }), '100e+9')
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assert.strictEqual(math.format(bignumber(1e10), { notation: 'engineering', precision: 2 }), '10e+9')
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assert.strictEqual(math.format(bignumber(1e9), { notation: 'engineering', precision: 2 }), '1.0e+9')
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assert.strictEqual(math.format(bignumber(1e12), { notation: 'engineering', precision: 1 }), '1e+12')
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assert.strictEqual(math.format(bignumber(1e11), { notation: 'engineering', precision: 1 }), '100e+9')
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assert.strictEqual(math.format(bignumber(1e10), { notation: 'engineering', precision: 1 }), '10e+9')
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assert.strictEqual(math.format(bignumber(1e9), { notation: 'engineering', precision: 1 }), '1e+9')
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assert.strictEqual(math.format(bignumber(10e3), { notation: 'engineering', precision: 2 }), '10e+3')
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assert.strictEqual(math.format(bignumber(10e3), { notation: 'engineering', precision: 1 }), '10e+3')
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assert.strictEqual(math.format(bignumber(100e3), { notation: 'engineering', precision: 2 }), '100e+3')
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assert.strictEqual(math.format(bignumber(100e3), { notation: 'engineering', precision: 1 }), '100e+3')
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assert.strictEqual(math.format(bignumber(100), { notation: 'engineering', precision: 2 }), '100e+0')
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assert.strictEqual(math.format(bignumber(10), { notation: 'engineering', precision: 2 }), '10e+0')
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assert.strictEqual(math.format(bignumber(10), { notation: 'engineering', precision: 1 }), '10e+0')
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assert.strictEqual(math.format(bignumber(1), { notation: 'engineering', precision: 2 }), '1.0e+0')
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assert.strictEqual(math.format(bignumber(10e-3), { notation: 'engineering', precision: 2 }), '10e-3')
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assert.strictEqual(math.format(bignumber(100e-3), { notation: 'engineering', precision: 2 }), '100e-3')
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assert.strictEqual(math.format(bignumber(100e-3), { notation: 'engineering', precision: 1 }), '100e-3')
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assert.strictEqual(math.format(bignumber(1e-3), { notation: 'engineering', precision: 1 }), '1e-3')
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assert.strictEqual(math.format(bignumber(1e-4), { notation: 'engineering', precision: 1 }), '100e-6')
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assert.strictEqual(math.format(bignumber(1e-5), { notation: 'engineering', precision: 1 }), '10e-6')
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assert.strictEqual(math.format(bignumber(1e-6), { notation: 'engineering', precision: 1 }), '1e-6')
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assert.strictEqual(math.format(bignumber(1e-3), { notation: 'engineering', precision: 3 }), '1.00e-3')
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assert.strictEqual(math.format(bignumber(1e-4), { notation: 'engineering', precision: 3 }), '100e-6')
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assert.strictEqual(math.format(bignumber(1e-5), { notation: 'engineering', precision: 3 }), '10.0e-6')
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assert.strictEqual(math.format(bignumber(1e-6), { notation: 'engineering', precision: 3 }), '1.00e-6')
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assert.strictEqual(math.format(bignumber(-1e-3), { notation: 'engineering', precision: 3 }), '-1.00e-3')
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assert.strictEqual(math.format(bignumber(-1e-4), { notation: 'engineering', precision: 3 }), '-100e-6')
|
|
assert.strictEqual(math.format(bignumber(-1e-5), { notation: 'engineering', precision: 3 }), '-10.0e-6')
|
|
assert.strictEqual(math.format(bignumber(-1e-6), { notation: 'engineering', precision: 3 }), '-1.00e-6')
|
|
assert.strictEqual(math.format(bignumber('12345600000000'), { notation: 'engineering', precision: 3 }), '12.3e+12')
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|
assert.strictEqual(math.format(bignumber('12345600000000'), { notation: 'engineering', precision: 16 }), '12.34560000000000e+12')
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|
assert.strictEqual(math.format(bignumber('12345678901234.56789'), { notation: 'engineering', precision: 3 }), '12.3e+12')
|
|
assert.strictEqual(math.format(bignumber('12345678901234.56789'), { notation: 'engineering', precision: 16 }), '12.34567890123457e+12')
|
|
assert.strictEqual(math.format(bignumber('0.000000000000123456'), { notation: 'engineering', precision: 3 }), '123e-15')
|
|
assert.strictEqual(math.format(bignumber('0.000000000000123456'), { notation: 'engineering', precision: 16 }), '123.4560000000000e-15')
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|
assert.strictEqual(math.format(bignumber('0.0000000000001234567890123456789'), { notation: 'engineering', precision: 3 }), '123e-15')
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|
assert.strictEqual(math.format(bignumber('0.0000000000001234567890123456789'), { notation: 'engineering', precision: 16 }), '123.4567890123457e-15')
|
|
})
|
|
})
|
|
})
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|
|
|
it('should throw an error on wrong number of arguments', function () {
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|
assert.throws(function () { math.format() }, /TypeError: Too few arguments/)
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|
assert.throws(function () { math.format(1, 2, 3) }, /TypeError: Too many arguments/)
|
|
})
|
|
|
|
it('should LaTeX format', function () {
|
|
const expression = math.parse('format(1)')
|
|
assert.strictEqual(expression.toTex(), '\\mathrm{format}\\left(1\\right)')
|
|
})
|
|
})
|