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71 lines
3.0 KiB
JavaScript
71 lines
3.0 KiB
JavaScript
// test exp
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var assert = require('assert'),
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approx = require('../../../tools/approx.js'),
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math = require('../../../lib/index.js'),
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complex = math.complex,
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matrix = math.matrix,
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unit = math.unit,
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range = math.range,
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exp = math.exp;
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describe('exp', function() {
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it('should be parsed correctly', function() {
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approx.equal(math.eval('exp(1)'), Math.E);
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approx.deepEqual(math.eval('1+exp(pi*i)'), complex('0'));
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});
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it('should exponentiate a number correctly', function() {
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// number
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approx.equal(exp(-3), 0.0497870683678639);
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approx.equal(exp(-2), 0.1353352832366127);
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approx.equal(exp(-1), 0.3678794411714423);
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approx.equal(exp(0), 1);
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approx.equal(exp(1), 2.71828182845905);
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approx.equal(exp(2), 7.38905609893065);
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approx.equal(exp(3), 20.0855369231877);
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approx.equal(exp(math.log(100)), 100);
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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 () {exp()}, SyntaxError, 'Wrong number of arguments in function exp (0 provided, 1 expected)');
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assert.throws(function () {exp(1, 2)}, SyntaxError, 'Wrong number of arguments in function exp (2 provided, 1 expected)');
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});
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it('should exponentiate a complex number correctly', function() {
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approx.deepEqual(exp(math.i), complex('0.540302305868140 + 0.841470984807897i'));
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approx.deepEqual(exp(complex(0, -1)), complex('0.540302305868140 - 0.841470984807897i'));
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approx.deepEqual(exp(complex(1, 1)), complex('1.46869393991589 + 2.28735528717884i'));
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approx.deepEqual(exp(complex(1, -1)), complex('1.46869393991589 - 2.28735528717884i'));
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approx.deepEqual(exp(complex(-1, -1)), complex('0.198766110346413 - 0.309559875653112i'));
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approx.deepEqual(exp(complex(-1, 1)), complex('0.198766110346413 + 0.309559875653112i'));
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approx.deepEqual(exp(complex(1, 0)), 2.71828182845905);
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approx.deepEqual(math.eval('exp(0.5 * pi * i)'), complex(0, 1));
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approx.deepEqual(math.eval('exp(1 * pi * i)'), complex(-1, 0));
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approx.deepEqual(math.eval('exp(1.5 * pi * i)'), complex(0, -1));
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approx.deepEqual(math.eval('exp(2 * pi * i)'), complex(1, 0));
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approx.deepEqual(math.eval('exp(-0.5 * pi * i)'), complex(0, -1));
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approx.deepEqual(math.eval('exp(-1 * pi * i)'), complex(-1, 0));
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approx.deepEqual(math.eval('exp(-1.5 * pi * i)'), complex(0, 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 () {exp(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 () {exp('text')});
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});
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it('should exponentiate matrices, arrays and ranges correctly', function() {
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var res = [1, 2.71828182845905, 7.38905609893065, 20.0855369231877];
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approx.deepEqual(exp([0,1,2,3]), res);
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approx.deepEqual(exp(range('0:4')), res);
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approx.deepEqual(exp(matrix([0,1,2,3])), matrix(res));
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approx.deepEqual(exp(matrix([[0,1],[2,3]])),
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matrix([[1, 2.71828182845905], [7.38905609893065, 20.0855369231877]]));
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});
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}); |