mirror of
https://github.com/josdejong/mathjs.git
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112 lines
4.5 KiB
JavaScript
112 lines
4.5 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 sec = math.sec
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const bigmath = math.create({ number: 'BigNumber', precision: 20 })
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const biggermath = math.create({ number: 'BigNumber', precision: 21 })
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describe('sec', function () {
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it('should return the secant of a boolean', function () {
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approxEqual(sec(true), 1.85081571768093)
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assert.strictEqual(sec(false), 1)
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})
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it('should return the secant of a number', function () {
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approxEqual(1 / sec(0), 1)
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approxEqual(1 / sec(pi * 1 / 4), 0.707106781186548)
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approxEqual(1 / sec(pi * 1 / 8), 0.923879532511287)
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approxEqual(1 / sec(pi * 2 / 4), 0)
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approxEqual(1 / sec(pi * 3 / 4), -0.707106781186548)
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approxEqual(1 / sec(pi * 4 / 4), -1)
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approxEqual(1 / sec(pi * 5 / 4), -0.707106781186548)
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approxEqual(1 / sec(pi * 6 / 4), 0)
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approxEqual(1 / sec(pi * 7 / 4), 0.707106781186548)
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approxEqual(1 / sec(pi * 8 / 4), 1)
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approxEqual(1 / sec(pi / 4), math.sqrt(2) / 2)
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approxEqual(math.pow(sec(pi / 4), 2), 2)
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approxEqual(sec(0), 1)
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approxEqual(sec(pi), -1)
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approxEqual(sec(-pi), -1)
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approxEqual(math.pow(sec(-pi / 4), 2), 2)
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approxEqual(sec(2 * pi), 1)
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approxEqual(sec(-2 * pi), 1)
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})
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it('should return the secant of a bignumber', function () {
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const Big = bigmath.bignumber
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let bigPi = bigmath.pi
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const sqrt2 = bigmath.SQRT2.toString()
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assert.deepStrictEqual(bigmath.sec(Big(0)), Big(1))
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assert.deepStrictEqual(bigmath.sec(bigPi.div(8)).toString(), '1.0823922002923939688')
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assert.deepStrictEqual(bigmath.sec(bigPi.div(4)).toString(), sqrt2)
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assert.deepStrictEqual(bigmath.sec(bigPi).toString(), '-1')
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assert.deepStrictEqual(bigmath.sec(bigPi.times(2)).toString(), '1')
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assert.deepStrictEqual(bigmath.sec(bigmath.tau).toString(), '1')
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assert.deepStrictEqual(bigmath.sec(bigmath.tau.times(-2)).toString(), '1')
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/* Pass in one more digit of pi. */
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bigPi = biggermath.pi
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assert.deepStrictEqual(bigmath.sec(bigPi.div(2)), Big('756606132568153667460')) // (large number, about infinity)
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assert.deepStrictEqual(bigmath.sec(bigPi.times(3).div(4)).toString(), '-' + sqrt2)
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assert.deepStrictEqual(bigmath.sec(bigPi.times(5).div(4)).toString(), '-' + sqrt2)
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})
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it('should return the secant of a complex number', function () {
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const re = 0.0416749644111443
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const im = 0.0906111371962376
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approxDeepEqual(sec(complex('2+3i')), complex(-re, im))
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approxDeepEqual(sec(complex('2-3i')), complex(-re, -im))
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approxDeepEqual(sec(complex('-2+3i')), complex(-re, -im))
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approxDeepEqual(sec(complex('-2-3i')), complex(-re, im))
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approxDeepEqual(sec(complex('i')), complex(0.648054273663885, 0))
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approxDeepEqual(sec(complex('1')), complex(1.85081571768093, 0))
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approxDeepEqual(sec(complex('1+i')), complex(0.498337030555187, 0.591083841721045))
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})
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it('should return the secant of an angle', function () {
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approxEqual(sec(unit('45deg')), 1.41421356237310)
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approxEqual(sec(unit('-45deg')), 1.41421356237310)
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assert(math.isBigNumber(sec(unit(math.bignumber(45), 'deg'))))
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approxEqual(sec(unit(math.bignumber(45), 'deg')).toNumber(), 1.41421356237310)
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approxDeepEqual(sec(unit(complex('1+i'), 'rad')), complex(0.498337030555187, 0.591083841721045))
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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 () { sec(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 () { sec('string') })
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})
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const sec123 = [1.85081571768093, -2.40299796172238, -1.01010866590799]
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it('should not operate on an array', function () {
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assert.throws(() => sec([1, 2, 3]), TypeError)
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approxDeepEqual(math.map([1, 2, 3], sec), sec123)
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})
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it('should not operate on a matrix', function () {
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assert.throws(() => sec(matrix([1, 2, 3])), TypeError)
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approxDeepEqual(math.map(matrix([1, 2, 3]), sec), matrix(sec123))
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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 () { sec() }, /TypeError: Too few arguments/)
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assert.throws(function () { sec(1, 2) }, /TypeError: Too many arguments/)
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})
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it('should LaTeX sec', function () {
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const expression = math.parse('sec(1)')
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assert.strictEqual(expression.toTex(), '\\sec\\left(1\\right)')
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})
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})
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