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Conflicts: HISTORY.md bower.json component.json dist/math.js dist/math.map dist/math.min.js docs/reference/units.md lib/version.js package.json test/function/construction/chain.test.js test/function/matrix/det.test.js test/function/matrix/transpose.test.js test/function/utils/import.test.js
84 lines
2.9 KiB
JavaScript
84 lines
2.9 KiB
JavaScript
// test sqrt
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var assert = require('assert');
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var approx = require('../../../tools/approx');
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var error = require('../../../lib/error/index');
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var math = require('../../../index');
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var sqrt = math.sqrt;
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var bignumber = math.bignumber;
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describe('sqrt', function() {
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it('should return the square root of a boolean', function () {
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assert.equal(sqrt(true), 1);
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assert.equal(sqrt(false), 0);
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});
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it('should return the square root of null', function () {
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assert.equal(sqrt(null), 0);
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});
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it('should return the square root of a positive number', function() {
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assert.equal(sqrt(0), 0);
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assert.equal(sqrt(1), 1);
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assert.equal(sqrt(4), 2);
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assert.equal(sqrt(9), 3);
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assert.equal(sqrt(16), 4);
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assert.equal(sqrt(25), 5);
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});
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it('should return the square root of a negative number', function() {
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assert.deepEqual(sqrt(-4), math.complex(0, 2));
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assert.deepEqual(sqrt(-16), math.complex(0, 4));
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});
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it('should return the square root of a positive bignumber', function() {
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assert.deepEqual(sqrt(bignumber(0)), bignumber(0));
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assert.deepEqual(sqrt(bignumber(1)), bignumber(1));
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assert.deepEqual(sqrt(bignumber(4)), bignumber(2));
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assert.deepEqual(sqrt(bignumber(9)), bignumber(3));
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assert.deepEqual(sqrt(bignumber(16)), bignumber(4));
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assert.deepEqual(sqrt(bignumber(25)), bignumber(5));
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// validate whether we are really working at high precision
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var bigmath = math.create({precision: 100});
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assert.deepEqual(bigmath.sqrt(bigmath.bignumber(2)), bigmath.bignumber('1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641573'));
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});
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it('should return the square root of a negative bignumber', function() {
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assert.deepEqual(sqrt(bignumber(-4)), math.complex(0, 2));
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});
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it('should return the square root of a complex number', function() {
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assert.deepEqual(sqrt(math.complex(3, -4)), math.complex(2, -1));
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assert.deepEqual(sqrt(math.complex(1e10, 1e-10)), math.complex(1e5, 5e-16));
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});
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it('should throw an error when used with a unit', function() {
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assert.throws(function () {
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sqrt(math.unit(5, 'km'));
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});
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});
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it('should throw an error when used with a string', function() {
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assert.throws(function () {
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sqrt('a string');
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});
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});
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it('should return the square root of each element of a matrix', function() {
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assert.deepEqual(sqrt([4,9,16,25]), [2,3,4,5]);
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assert.deepEqual(sqrt([[4,9],[16,25]]), [[2,3],[4,5]]);
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assert.deepEqual(sqrt(math.matrix([[4,9],[16,25]])), math.matrix([[2,3],[4,5]]));
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});
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it('should throw an error in case of invalid number of arguments', function() {
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assert.throws(function () {sqrt()}, /TypeError: Too few arguments/);
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assert.throws(function () {sqrt(1, 2)}, /TypeError: Too many arguments/);
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});
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it('should LaTeX sqrt', function () {
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var expression = math.parse('sqrt(2)');
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assert.equal(expression.toTex(), '\\sqrt{2}');
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});
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});
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