/* eslint-disable no-loss-of-precision */ import assert from 'assert' import math from '../../../../src/defaultInstance.js' import approx from '../../../../tools/approx.js' const pi = math.pi const acsch = math.acsch const csch = math.csch const complex = math.complex const matrix = math.matrix const unit = math.unit const bigmath = math.create({ number: 'BigNumber', precision: 20 }) const acschBig = bigmath.acsch const Big = bigmath.bignumber describe('acsch', function () { it('should return the hyperbolic arccsc of a boolean', function () { approx.equal(acsch(true), 0.8813735870195430) assert.strictEqual(acsch(false), Infinity) }) it('should return the hyperbolic arccsc of a number', function () { approx.equal(acsch(-2), -0.48121182505960344749775891342437) approx.equal(acsch(-1), -0.88137358701954302523260932497979) assert.strictEqual(acsch(0), Infinity) approx.equal(acsch(1), 0.88137358701954302523260932497979) approx.equal(acsch(2), 0.48121182505960344749775891342437) approx.equal(acsch(pi), 0.3131658804508683758718693082657) }) it('should return the hyperbolic arccsc of a bignumber', function () { const arg = Big(-2) assert.deepStrictEqual(acschBig(arg), Big('-0.4812118250596034475')) assert.deepStrictEqual(acschBig(Big(-1)), Big('-0.88137358701954302523')) assert.deepStrictEqual(acschBig(Big(0)).toString(), 'Infinity') assert.deepStrictEqual(acschBig(Big(1)), Big('0.88137358701954302523')) assert.deepStrictEqual(acschBig(Big(2)), Big('0.4812118250596034475')) assert.deepStrictEqual(acschBig(bigmath.pi).toString(), '0.31316588045086837586') // Make sure arg was not changed assert.deepStrictEqual(arg, Big(-2)) }) it('should be the inverse function of hyperbolic csc', function () { approx.equal(acsch(csch(-1)), -1) approx.equal(acsch(csch(0)), 0) approx.equal(acsch(csch(0.1)), 0.1) approx.equal(acsch(csch(0.5)), 0.5) approx.equal(acsch(csch(2)), 2) }) it('should be the inverse function of bignumber csch', function () { assert.deepStrictEqual(acschBig(bigmath.csch(Big(-2))), Big(-2)) assert.deepStrictEqual(acschBig(bigmath.csch(Big(-0.5))), Big(-0.5)) assert.deepStrictEqual(acschBig(bigmath.csch(Big(-0.1))), Big('-0.099999999999999999996')) assert.deepStrictEqual(acschBig(bigmath.csch(Big(0))), Big(0)) assert.deepStrictEqual(acschBig(bigmath.csch(Big(0.1))), Big('0.099999999999999999996')) assert.deepStrictEqual(acschBig(bigmath.csch(Big(0.5))), Big(0.5)) assert.deepStrictEqual(acschBig(bigmath.csch(Big(2))), Big(2)) }) it('should return the arccsch of a complex number', function () { approx.deepEqual(acsch(complex('2+3i')), complex(0.157355498844985, -0.229962902377208)) approx.deepEqual(acsch(complex('2-3i')), complex(0.157355498844985, 0.229962902377208)) approx.deepEqual(acsch(complex('-2+3i')), complex(-0.157355498844985, -0.229962902377208)) approx.deepEqual(acsch(complex('-2-3i')), complex(-0.157355498844985, 0.229962902377208)) approx.deepEqual(acsch(complex('1+i')), complex(0.530637530952517826, -0.45227844715119068)) approx.deepEqual(acsch(complex('i')), complex(0, -pi / 2)) approx.deepEqual(acsch(complex('1')), complex(0.881373587019543025, 0)) assert.deepStrictEqual(acsch(complex('0')), complex(Infinity, 0)) }) it('should throw an error if called with a unit', function () { assert.throws(function () { acsch(unit('45deg')) }) assert.throws(function () { acsch(unit('5 celsius')) }) }) it('should throw an error if called with a string', function () { assert.throws(function () { acsch('string') }) }) it('should calculate the arccsc element-wise for arrays and matrices', function () { const acsch123 = [0.881373587019543025, 0.481211825059603447, 0.32745015023725844] approx.deepEqual(acsch([1, 2, 3]), acsch123) approx.deepEqual(acsch(matrix([1, 2, 3])), matrix(acsch123)) }) it('should throw an error in case of invalid number of arguments', function () { assert.throws(function () { acsch() }, /TypeError: Too few arguments/) assert.throws(function () { acsch(1, 2) }, /TypeError: Too many arguments/) }) it('should LaTeX acsch', function () { const expression = math.parse('acsch(2)') assert.strictEqual(expression.toTex(), '\\mathrm{csch}^{-1}\\left(2\\right)') }) })