mirror of
https://github.com/josdejong/mathjs.git
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c5971b371a
* chore(package): update standard to version 12.0.0
* update to new lint version with --fix
I believe this mainly adds whitespace to `{}`'s.
* Replace assert.equal with assert.strictEqual
This breaks a lot of tests which I will endevour to fix in the next
commits.
* Fix most errors due to assert.strictEquals
Some instances of `strictEquals` are replaced by `deepEquals`.
`toString` has been used to make some string comparisions explicit.
Tests will still fail untill #1236 and #1237 are fixed.
* Fix assertion erros due to -0
With node 10, assert.strictEqual no longer considers `0 === -0`.
I missed these first time round as I was using node 8.
* Put toString correct side of bracket
I was converting the constructor to a string rather
than the result of the computation. Oops.
* Fixed #1236: quantileSeq has inconsistant return
* Update package-lock
* Fixed #1237: norm sometimes returning a complex number instead of number
* Fix cli tests
* More changes for standardjs, and fixes in unit tests
138 lines
6.1 KiB
JavaScript
138 lines
6.1 KiB
JavaScript
const assert = require('assert')
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const math = require('../../../src/main')
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const approx = require('../../../tools/approx')
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const pi = math.pi
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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 acsc = math.acsc
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const csc = math.csc
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const bigmath = math.create({ number: 'BigNumber', precision: 20 })
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const biggermath = math.create({ precision: 21 })
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const predmath = math.create({ predictable: true })
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const acscBig = bigmath.acsc
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const Big = bigmath.bignumber
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describe('acsc', function () {
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it('should return the arccsc of a boolean', function () {
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approx.equal(acsc(true), pi / 2)
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assert.deepStrictEqual(acsc(false), complex(pi / 2, Infinity))
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// assert.ok(isNaN(acsc(false)))
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})
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it('should return the arccsc of a number', function () {
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approx.equal(acsc(-2) / pi, -1 / 6)
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approx.equal(acsc(-1) / pi, -0.5)
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assert.deepStrictEqual(acsc(0), complex(pi / 2, Infinity))
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// assert.ok(isNaN(acsc(0)))
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approx.equal(acsc(1) / pi, 0.5)
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approx.equal(acsc(2) / pi, 1 / 6)
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})
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it('should return the arccsc of a number when predictable:true', function () {
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assert.strictEqual(typeof predmath.acsc(0), 'number')
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assert(isNaN(predmath.acsc(0)))
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})
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it('should return the arccsc of a bignumber', function () {
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const arg1 = Big(-2)
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const arg2 = Big(-1.71)
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const arg3 = Big(-1)
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assert.deepStrictEqual(acscBig(arg1), Big('-0.52359877559829887308'))
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// wolfram: -0.52359877559829887307710723054658381403286156656251763682915743205130273438103483310467247089035284466369134775
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assert.deepStrictEqual(acscBig(arg2), Big('-0.62462771332471601304'))
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assert.deepStrictEqual(acscBig(arg3), Big('-1.5707963267948966192'))
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assert.deepStrictEqual(acscBig(Big(1)), Big('1.5707963267948966192'))
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assert.deepStrictEqual(acscBig(Big(1.71)), Big('0.62462771332471601304'))
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assert.deepStrictEqual(acscBig(Big(2)), Big('0.52359877559829887308'))
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// Make sure args were not changed
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assert.deepStrictEqual(arg1, Big(-2))
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assert.deepStrictEqual(arg2, Big(-1.71))
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assert.deepStrictEqual(arg3, Big(-1))
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// Hit Newton's method case
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bigmath.config({ precision: 61 })
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const arg4 = Big(1.00000001)
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assert.deepStrictEqual(acscBig(arg4), Big('1.570654905439248565373629613450057180739125884090554026623514'))
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// wolfram 1.5706549054392485653736296134500571807391258840905540266235145245693842219005187990359787187421573662444504948773
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assert.deepStrictEqual(arg4, Big(1.00000001))
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assert.ok(acscBig(Big(0.5)).isNaN())
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assert.ok(acscBig(Big(-0.5)).isNaN())
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})
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it('should be the inverse function of csc', function () {
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approx.equal(acsc(csc(-1)), -1)
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approx.equal(acsc(csc(0)), 0)
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approx.equal(acsc(csc(0.1)), 0.1)
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approx.equal(acsc(csc(0.5)), 0.5)
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approx.equal(acsc(csc(2)), 1.14159265358979)
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})
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it('should be the inverse function of bignumber csc', function () {
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bigmath.config({ precision: 61 })
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(-2))), Big('-1.141592653589793238462643383279502884197169399375105820974946'))
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// wolfram: -1.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(-0.5))), Big('-0.4999999999999999999999999999999999999999999999999999999999999'))
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(-0.1))), Big(-0.1))
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(0.1))), Big(0.1))
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(0.5))), Big('0.4999999999999999999999999999999999999999999999999999999999999'))
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(2))), Big('1.141592653589793238462643383279502884197169399375105820974946'))
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// Full decimal Taylor test cases
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bigmath.config({ precision: 20 })
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(0))), Big(0))
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(0.1))), Big('0.099999999999999999997'))
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assert.deepStrictEqual(acscBig(bigmath.csc(Big(0.5))), Big(0.5))
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// Pass in an extra digit
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assert.deepStrictEqual(acscBig(biggermath.csc(Big(-1))), Big('-1'))
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assert.deepStrictEqual(acscBig(biggermath.csc(Big(2))), Big('1.1415926535897932385'))
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})
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it('should return the arccsc of a complex number', function () {
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const re = 0.150385604327861963
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const im = 0.231334698573973315
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approx.deepEqual(acsc(complex('2+3i')), complex(re, -im))
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approx.deepEqual(acsc(complex('2-3i')), complex(re, im))
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approx.deepEqual(acsc(complex('-2+3i')), complex(-re, -im))
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approx.deepEqual(acsc(complex('-2-3i')), complex(-re, im))
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approx.deepEqual(acsc(complex('1+i')), complex(0.4522784471511907, -0.53063753095251783))
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approx.deepEqual(acsc(complex('i')), complex(0, -0.881373587019543))
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approx.deepEqual(acsc(complex('-1')), complex(-pi / 2, 0))
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approx.deepEqual(acsc(complex('-0.5')), complex(-pi / 2, 1.3169578969248))
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assert.deepStrictEqual(acsc(complex('0')), complex(pi / 2, Infinity))
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approx.deepEqual(acsc(complex('0.5')), complex(pi / 2, -1.3169578969248))
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approx.deepEqual(acsc(complex('1')), complex(pi / 2, 0))
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})
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it('should throw an error if called with a unit', function () {
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assert.throws(function () { acsc(unit('45deg')) })
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assert.throws(function () { acsc(unit('5 celsius')) })
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})
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it('should throw an error if called with a string', function () {
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assert.throws(function () { acsc('string') })
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})
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it('should calculate the arccsc element-wise for arrays and matrices', function () {
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const acsc123 = [pi / 2, pi / 6, 0.339836909454]
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approx.deepEqual(acsc([1, 2, 3]), acsc123)
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approx.deepEqual(acsc(matrix([1, 2, 3])), matrix(acsc123))
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})
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it('should throw an error in case of invalid number of arguments', function () {
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assert.throws(function () { acsc() }, /TypeError: Too few arguments/)
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assert.throws(function () { acsc(1, 2) }, /TypeError: Too many arguments/)
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})
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it('should LaTex acsc', function () {
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const expression = math.parse('acsc(2)')
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assert.strictEqual(expression.toTex(), '\\csc^{-1}\\left(2\\right)')
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})
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})
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