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101 lines
4.3 KiB
JavaScript
101 lines
4.3 KiB
JavaScript
/* eslint-disable no-loss-of-precision */
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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 asinh = math.asinh
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const sinh = math.sinh
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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 bigmath = math.create({ number: 'BigNumber', precision: 20 })
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const biggermath = math.create({ precision: 21 })
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const asinhBig = bigmath.asinh
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const Big = bigmath.bignumber
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describe('asinh', function () {
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it('should return the hyperbolic arcsin of a boolean', function () {
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approxEqual(asinh(true), 0.8813735870195430)
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assert.strictEqual(asinh(false), 0)
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})
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it('should return the hyperbolic arcsin of a number', function () {
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approxEqual(asinh(-2), -1.44363547517881034249327674027311)
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approxEqual(asinh(-1), -0.88137358701954302523260932497979)
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approxEqual(asinh(0), 0)
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approxEqual(asinh(1), 0.88137358701954302523260932497979)
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approxEqual(asinh(2), 1.44363547517881034249327674027311)
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approxEqual(asinh(pi), 1.8622957433108482198883613251826)
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})
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it('should return the hyperbolic arcsin of a bignumber', function () {
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const arg = Big(-2)
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assert.deepStrictEqual(asinhBig(arg), Big('-1.4436354751788103425'))
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assert.deepStrictEqual(asinhBig(Big(-1)), Big('-0.88137358701954302523'))
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assert.deepStrictEqual(asinhBig(Big(0)), Big(0))
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assert.deepStrictEqual(asinhBig(Big(1)), Big('0.88137358701954302523'))
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assert.deepStrictEqual(asinhBig(Big(2)), Big('1.4436354751788103425'))
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assert.deepStrictEqual(asinhBig(bigmath.pi).toString(), '1.8622957433108482199')
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// Make sure arg was not changed
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assert.deepStrictEqual(arg, Big(-2))
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})
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it('should be the inverse function of hyperbolic sin', function () {
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approxEqual(asinh(sinh(-1)), -1)
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approxEqual(asinh(sinh(0)), 0)
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approxEqual(asinh(sinh(0.1)), 0.1)
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approxEqual(asinh(sinh(0.5)), 0.5)
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approxEqual(asinh(sinh(2)), 2)
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})
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it('should be the inverse function of bignumber sinh', function () {
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assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(-1))), Big(-1))
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assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(0))), Big(0))
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assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(0.5))), Big(0.5))
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assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(2))), Big(2))
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/* Pass in more digits to pi. */
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assert.deepStrictEqual(asinhBig(biggermath.sinh(Big(0.1))), Big('0.099999999999999999996'))
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})
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it('should return the arcsinh of a complex number', function () {
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approxDeepEqual(asinh(complex('2+3i')), complex(1.9686379257931, 0.9646585044076028))
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approxDeepEqual(asinh(complex('2-3i')), complex(1.9686379257931, -0.9646585044076028))
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approxDeepEqual(asinh(complex('-2+3i')), complex(-1.9686379257931, 0.9646585044076028))
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approxDeepEqual(asinh(complex('-2-3i')), complex(-1.9686379257931, -0.9646585044076028))
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approxDeepEqual(asinh(complex('1+i')), complex(1.0612750619050357, 0.6662394324925153))
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approxDeepEqual(asinh(complex('i')), complex(0, pi / 2))
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approxDeepEqual(asinh(complex('1')), complex(0.881373587019543025, 0))
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assert.deepStrictEqual(asinh(complex('0')), complex(0, 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 () { asinh(unit('45deg')) })
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assert.throws(function () { asinh(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 () { asinh('string') })
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})
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it('should not operate on arrays and matrices', function () {
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assert.throws(() => asinh([1, 2, 3]), TypeError)
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assert.throws(() => asinh(matrix([1, 2, 3])), TypeError)
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const asinh123 = [0.881373587019543025, 1.4436354751788103, 1.8184464592320668]
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approxDeepEqual(math.map([1, 2, 3], asinh), asinh123)
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approxDeepEqual(math.map(matrix([1, 2, 3]), asinh), matrix(asinh123))
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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 () { asinh() }, /TypeError: Too few arguments/)
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assert.throws(function () { asinh(1, 2) }, /TypeError: Too many arguments/)
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})
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it('should LaTeX asinh', function () {
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const expression = math.parse('asinh(2)')
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assert.strictEqual(expression.toTex(), '\\sinh^{-1}\\left(2\\right)')
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})
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})
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