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96 lines
3.6 KiB
JavaScript
96 lines
3.6 KiB
JavaScript
import assert from 'assert'
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import math from '../../../../src/defaultInstance.js'
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import { approxEqual, approxDeepEqual } from '../../../../tools/approx.js'
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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 tan = math.tan
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const piBigmath = math.create({ number: 'BigNumber', precision: 21 })
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const bigmath = math.create({ precision: 20 })
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const Big = bigmath.bignumber
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const bigTan = bigmath.tan
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describe('tan', function () {
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it('should return the tangent of a boolean', function () {
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approxEqual(tan(true), 1.55740772465490)
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approxEqual(tan(false), 0)
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})
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it('should return the tangent of a number', function () {
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approxEqual(tan(0), 0)
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approxEqual(tan(pi * 1 / 4), 1)
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approxEqual(tan(pi * 1 / 8), 0.414213562373095)
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assert.ok(tan(pi * 2 / 4) > 1e10)
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approxEqual(tan(pi * 3 / 4), -1)
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approxEqual(tan(pi * 4 / 4), 0)
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approxEqual(tan(pi * 5 / 4), 1)
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assert.ok(tan(pi * 6 / 4) > 1e10)
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approxEqual(tan(pi * 7 / 4), -1)
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approxEqual(tan(pi * 8 / 4), 0)
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})
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it('should return the tangent of a bignumber', function () {
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const bigPi = piBigmath.pi
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assert.deepStrictEqual(bigTan(Big(0)), Big(0))
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assert.deepStrictEqual(bigTan(Big(-1)), Big('-1.5574077246549022305'))
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assert.deepStrictEqual(bigTan(bigPi.div(8)).toString(), '0.414213562373095048802')
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// Wolfram: 0.414213562373095048801688724209698078569671875376948073176
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assert.deepStrictEqual(bigTan(bigPi.div(4)).toString(), '0.999999999999999999999')
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})
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it('should return the tangent of a complex number', function () {
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const re = 0.00376402564150425
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const im = 1.00323862735360980
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approxDeepEqual(tan(complex('2+3i')), complex(-re, im))
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approxDeepEqual(tan(complex('2-3i')), complex(-re, -im))
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approxDeepEqual(tan(complex('-2+3i')), complex(re, im))
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approxDeepEqual(tan(complex('-2-3i')), complex(re, -im))
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approxDeepEqual(tan(complex('i')), complex(0, 0.761594155955765))
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approxDeepEqual(tan(complex('1')), complex(1.55740772465490, 0))
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approxDeepEqual(tan(complex('1+i')), complex(0.271752585319512, 1.083923327338695))
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})
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it('should return the tangent of an angle', function () {
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approxEqual(tan(unit(' 60deg')), math.sqrt(3))
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approxEqual(tan(unit('-135deg')), 1)
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assert(math.isBigNumber(tan(unit(math.bignumber(60), 'deg'))))
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approxEqual(tan(unit(math.bignumber(60), 'deg')).toNumber(), math.sqrt(3))
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approxDeepEqual(tan(unit(complex('1+i'), 'rad')), complex(0.271752585319512, 1.083923327338695))
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})
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it('should throw an error if called with an invalid unit', function () {
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assert.throws(function () { tan(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 () { tan('string') })
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})
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const tan123 = [1.557407724654902, -2.185039863261519, -0.142546543074278]
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it('should not operate on an array', function () {
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assert.throws(() => tan([1, 2, 3]), TypeError)
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approxDeepEqual(math.map([1, 2, 3], tan), tan123)
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})
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it('should not operate on a matrix', function () {
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assert.throws(() => tan(matrix([1, 2, 3])), TypeError)
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approxDeepEqual(math.map(matrix([1, 2, 3]), tan), matrix(tan123))
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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 () { tan() }, /TypeError: Too few arguments/)
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assert.throws(function () { tan(1, 2) }, /TypeError: Too many arguments/)
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})
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it('should LaTeX tan', function () {
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const expression = math.parse('tan(1)')
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assert.strictEqual(expression.toTex(), '\\tan\\left(1\\right)')
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})
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})
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