import assert from 'assert' import math from '../../../../src/bundleAny' import approx from '../../../../tools/approx' const pi = math.pi const complex = math.complex const matrix = math.matrix const unit = math.unit const csch = math.csch const bigmath = math.create({ precision: 20 }) const biggermath = math.create({ number: 'BigNumber', precision: 22 }) describe('csch', function () { it('should return the csch of a boolean', function () { approx.equal(csch(true), 0.85091812823932) approx.equal(csch(false), Number.POSITIVE_INFINITY) }) it('should return the csch of a number', function () { approx.equal(csch(0), Number.POSITIVE_INFINITY) approx.equal(csch(pi), 0.086589537530047) approx.equal(csch(1), 0.85091812823932) approx.equal(csch(2), 0.27572056477178) approx.equal(csch(3), 0.099821569668823) approx.equal(csch(1e-22), Number.POSITIVE_INFINITY) approx.equal(csch(-1e-22), Number.NEGATIVE_INFINITY) }) it('should return the csch of a bignumber', function () { const cschBig = bigmath.csch const Big = bigmath.bignumber assert.deepStrictEqual(cschBig(Big(0)).toString(), 'Infinity') assert.deepStrictEqual(cschBig(Big(1)), Big('0.85091812823932154512')) assert.deepStrictEqual(cschBig(Big(2)), Big('0.27572056477178320776')) assert.deepStrictEqual(cschBig(Big(3)), Big('0.099821569668822732851')) /* Pass in extra digits to pi. */ assert.deepStrictEqual(cschBig(biggermath.pi).toString(), '0.086589537530046941828') }) it('should return the csch of a complex number', function () { approx.deepEqual(csch(complex('1')), complex(0.85091812823932, 0)) approx.deepEqual(csch(complex('i')), complex(0, -1.1883951057781)) approx.deepEqual(csch(complex('2 + i')), complex(0.14136302161241, -0.22837506559969)) }) it('should return the csch of an angle', function () { approx.equal(csch(unit('90deg')), 0.4345372080947) approx.equal(csch(unit('-45deg')), -1.1511838709208) assert(math.isBigNumber(csch(unit(math.bignumber(90), 'deg')))) approx.equal(csch(unit(math.bignumber(90), 'deg')).toNumber(), 0.4345372080947) approx.deepEqual(csch(unit(complex('2 + i'), 'rad')), complex(0.14136302161241, -0.22837506559969)) }) it('should throw an error if called with an invalid unit', function () { assert.throws(function () { csch(unit('5 celsius')) }) }) it('should throw an error if called with a string', function () { assert.throws(function () { csch('string') }) }) const csch123 = [0.85091812823932, 0.27572056477178, 0.099821569668823] it('should return the csch of each element of an array', function () { approx.deepEqual(csch([1, 2, 3]), csch123) }) it('should return the csch of each element of a matrix', function () { approx.deepEqual(csch(matrix([1, 2, 3])), matrix(csch123)) }) it('should throw an error in case of invalid number of arguments', function () { assert.throws(function () { csch() }, /TypeError: Too few arguments/) assert.throws(function () { csch(1, 2) }, /TypeError: Too many arguments/) }) it('should LaTeX csch', function () { const expression = math.parse('csch(1)') assert.strictEqual(expression.toTex(), '\\mathrm{csch}\\left(1\\right)') }) })