/* eslint-disable no-loss-of-precision */ import assert from 'assert' import math from '../../../../src/defaultInstance.js' import { approxEqual, approxDeepEqual } from '../../../../tools/approx.js' const pi = math.pi const asinh = math.asinh const sinh = math.sinh const complex = math.complex const matrix = math.matrix const unit = math.unit const bigmath = math.create({ number: 'BigNumber', precision: 20 }) const biggermath = math.create({ precision: 21 }) const asinhBig = bigmath.asinh const Big = bigmath.bignumber describe('asinh', function () { it('should return the hyperbolic arcsin of a boolean', function () { approxEqual(asinh(true), 0.8813735870195430) assert.strictEqual(asinh(false), 0) }) it('should return the hyperbolic arcsin of a number', function () { approxEqual(asinh(-2), -1.44363547517881034249327674027311) approxEqual(asinh(-1), -0.88137358701954302523260932497979) approxEqual(asinh(0), 0) approxEqual(asinh(1), 0.88137358701954302523260932497979) approxEqual(asinh(2), 1.44363547517881034249327674027311) approxEqual(asinh(pi), 1.8622957433108482198883613251826) }) it('should return the hyperbolic arcsin of a bignumber', function () { const arg = Big(-2) assert.deepStrictEqual(asinhBig(arg), Big('-1.4436354751788103425')) assert.deepStrictEqual(asinhBig(Big(-1)), Big('-0.88137358701954302523')) assert.deepStrictEqual(asinhBig(Big(0)), Big(0)) assert.deepStrictEqual(asinhBig(Big(1)), Big('0.88137358701954302523')) assert.deepStrictEqual(asinhBig(Big(2)), Big('1.4436354751788103425')) assert.deepStrictEqual(asinhBig(bigmath.pi).toString(), '1.8622957433108482199') // Make sure arg was not changed assert.deepStrictEqual(arg, Big(-2)) }) it('should be the inverse function of hyperbolic sin', function () { approxEqual(asinh(sinh(-1)), -1) approxEqual(asinh(sinh(0)), 0) approxEqual(asinh(sinh(0.1)), 0.1) approxEqual(asinh(sinh(0.5)), 0.5) approxEqual(asinh(sinh(2)), 2) }) it('should be the inverse function of bignumber sinh', function () { assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(-1))), Big(-1)) assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(0))), Big(0)) assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(0.5))), Big(0.5)) assert.deepStrictEqual(asinhBig(bigmath.sinh(Big(2))), Big(2)) /* Pass in more digits to pi. */ assert.deepStrictEqual(asinhBig(biggermath.sinh(Big(0.1))), Big('0.099999999999999999996')) }) it('should return the arcsinh of a complex number', function () { approxDeepEqual(asinh(complex('2+3i')), complex(1.9686379257931, 0.9646585044076028)) approxDeepEqual(asinh(complex('2-3i')), complex(1.9686379257931, -0.9646585044076028)) approxDeepEqual(asinh(complex('-2+3i')), complex(-1.9686379257931, 0.9646585044076028)) approxDeepEqual(asinh(complex('-2-3i')), complex(-1.9686379257931, -0.9646585044076028)) approxDeepEqual(asinh(complex('1+i')), complex(1.0612750619050357, 0.6662394324925153)) approxDeepEqual(asinh(complex('i')), complex(0, pi / 2)) approxDeepEqual(asinh(complex('1')), complex(0.881373587019543025, 0)) assert.deepStrictEqual(asinh(complex('0')), complex(0, 0)) }) it('should throw an error if called with a unit', function () { assert.throws(function () { asinh(unit('45deg')) }) assert.throws(function () { asinh(unit('5 celsius')) }) }) it('should throw an error if called with a string', function () { assert.throws(function () { asinh('string') }) }) it('should not operate on arrays and matrices', function () { assert.throws(() => asinh([1, 2, 3]), TypeError) assert.throws(() => asinh(matrix([1, 2, 3])), TypeError) const asinh123 = [0.881373587019543025, 1.4436354751788103, 1.8184464592320668] approxDeepEqual(math.map([1, 2, 3], asinh), asinh123) approxDeepEqual(math.map(matrix([1, 2, 3]), asinh), matrix(asinh123)) }) it('should throw an error in case of invalid number of arguments', function () { assert.throws(function () { asinh() }, /TypeError: Too few arguments/) assert.throws(function () { asinh(1, 2) }, /TypeError: Too many arguments/) }) it('should LaTeX asinh', function () { const expression = math.parse('asinh(2)') assert.strictEqual(expression.toTex(), '\\sinh^{-1}\\left(2\\right)') }) })