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92 lines
4.0 KiB
JavaScript
92 lines
4.0 KiB
JavaScript
// test expm1
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var assert = require('assert'),
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approx = require('../../../tools/approx'),
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math = require('../../../index'),
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complex = math.complex,
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matrix = math.matrix,
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sparse = math.sparse,
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unit = math.unit,
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expm1 = math.expm1;
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describe('expm1', function() {
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it('should exponentiate a boolean', function () {
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approx.equal(expm1(true), 1.71828182845905);
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approx.equal(expm1(false), 0);
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});
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it('should exponentiate a number', function() {
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approx.equal(expm1(-3), -0.9502129316321360);
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approx.equal(expm1(-2), -0.8646647167633873);
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approx.equal(expm1(-1), -0.6321205588285577);
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approx.equal(expm1(0), 0);
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approx.equal(expm1(1), 1.71828182845905);
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approx.equal(expm1(2), 6.38905609893065);
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approx.equal(expm1(3), 19.0855369231877);
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approx.equal(expm1(math.log(100)) + 1, 100);
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// function requirements
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assert.ok(isNaN(expm1(NaN)));
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assert.equal(expm1(+0), 0);
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assert.equal(expm1(-0), 0);
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assert.equal(expm1(+Infinity), Infinity);
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assert.equal(expm1(-Infinity), -1);
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});
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it('should exponentiate a bignumber', function() {
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var bigmath = math.create({precision: 100});
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assert.deepEqual(bigmath.expm1(bigmath.bignumber(1)), bigmath.bignumber('1.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427'));
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});
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it('should throw an error if there\'s wrong number of arguments', function() {
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assert.throws(function () {expm1();}, /TypeError: Too few arguments/);
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assert.throws(function () {expm1(1, 2);}, /TypeError: Too many arguments/);
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});
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it('should exponentiate a complex number correctly', function() {
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approx.deepEqual(expm1(math.i), complex('-0.45969769413186 + 0.841470984807897i'));
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approx.deepEqual(expm1(complex(0, -1)), complex('-0.45969769413186 - 0.841470984807897i'));
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approx.deepEqual(expm1(complex(1, 1)), complex('0.46869393991589 + 2.28735528717884i'));
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approx.deepEqual(expm1(complex(1, -1)), complex('0.46869393991589 - 2.28735528717884i'));
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approx.deepEqual(expm1(complex(-1, -1)), complex('-0.80123388965359 - 0.309559875653112i'));
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approx.deepEqual(expm1(complex(-1, 1)), complex('-0.80123388965359 + 0.309559875653112i'));
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approx.deepEqual(expm1(complex(1, 0)), complex('1.71828182845905'));
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// test some logic identities
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var multiply = math.multiply;
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var pi = math.pi;
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var i = math.i;
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approx.deepEqual(expm1(multiply( 0.5, multiply(pi, i))), complex(-1, 1));
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approx.deepEqual(expm1(multiply( 1, multiply(pi, i))), complex(-2, 0));
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approx.deepEqual(expm1(multiply( 1.5, multiply(pi, i))), complex(-1, -1));
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approx.deepEqual(expm1(multiply( 2, multiply(pi, i))), complex(0, 0));
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approx.deepEqual(expm1(multiply(-0.5, multiply(pi, i))), complex(-1, -1));
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approx.deepEqual(expm1(multiply(-1, multiply(pi, i))), complex(-2, 0));
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approx.deepEqual(expm1(multiply(-1.5, multiply(pi, i))), complex(-1, 1));
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});
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it('should throw an error on a unit', function() {
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assert.throws(function () {expm1(unit('5cm'));});
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});
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it('should throw an error with a string', function() {
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assert.throws(function () {expm1('text');});
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});
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it('should exponentiate matrices, arrays and ranges correctly', function() {
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// array
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approx.deepEqual(expm1([0, 1, 2, 3]), [0, 1.71828182845905, 6.38905609893065, 19.0855369231877]);
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approx.deepEqual(expm1([[0, 1], [2, 3]]), [[0, 1.71828182845905], [6.38905609893065, 19.0855369231877]]);
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// dense matrix
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approx.deepEqual(expm1(matrix([0, 1, 2, 3])), matrix([0, 1.71828182845905, 6.38905609893065, 19.0855369231877]));
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approx.deepEqual(expm1(matrix([[0, 1], [2, 3]])), matrix([[0, 1.71828182845905], [6.38905609893065, 19.0855369231877]]));
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approx.deepEqual(expm1(sparse([[0, 1], [2, 3]])), sparse([[0, 1.71828182845905], [6.38905609893065, 19.0855369231877]]));
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});
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it('should LaTeX expm1', function () {
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var expression = math.parse('expm1(0)');
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assert.equal(expression.toTex(), '\\left(e^{0}-1\\right)');
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});
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});
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