mirror of
https://github.com/josdejong/mathjs.git
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1673 lines
68 KiB
JavaScript
1673 lines
68 KiB
JavaScript
// test parse
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var assert = require('assert');
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var approx = require('../../tools/approx');
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var math = require('../../index');
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var ArgumentsError = require('../../lib/error/ArgumentsError');
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var parse = math.expression.parse;
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var ConditionalNode = math.expression.node.ConditionalNode;
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var OperatorNode = math.expression.node.OperatorNode;
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var RangeNode = math.expression.node.RangeNode;
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var Complex = math.type.Complex;
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var Matrix = math.type.Matrix;
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var Range = math.type.Range;
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var Unit = math.type.Unit;
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var ResultSet = math.type.ResultSet;
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/**
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* Helper function to parse an expression and immediately evaluate its results
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* @param {String} expr
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* @param {Object} [scope]
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* @return {*} result
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*/
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function parseAndEval(expr, scope) {
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return parse(expr).eval(scope);
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}
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describe('parse', function() {
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it('should parse a single expression', function() {
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approx.equal(parse('2 + 6 / 3').compile().eval(), 4);
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});
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it('should parse an empty expression', function() {
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assert.strictEqual(parse('').compile().eval(), undefined);
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});
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it('should parse an array with expressions', function() {
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var scope = {};
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assert.deepEqual(parse(['a=3', 'b=4', 'a*b']).map(function (node) {
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return node.compile().eval(scope);
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}), [3, 4, 12]);
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});
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it('should parse a matrix with expressions', function() {
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var scope = {};
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assert.deepEqual(parse(math.matrix(['a=3', 'b=4', 'a*b'])).map(function (node) {
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return node.compile().eval(scope);
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}), math.matrix([3, 4, 12]));
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});
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it('should parse an array with an empty expression', function() {
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assert.deepEqual(parse(['']).map(function (node) {
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return node.compile().eval();
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}), [undefined]);
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});
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it('should parse an array with an empty expression', function() {
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assert.deepEqual(parse(math.matrix([''])).map(function (node) {
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return node.compile().eval();
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}), math.matrix([undefined]));
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});
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it('should parse unicode characters', function() {
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// http://unicode-table.com/en
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var scope = {};
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math.eval('\u00E9 = 2', scope); // Latin Small Letter E with Acute
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assert.strictEqual(scope['\u00E9'], 2);
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math.eval('\u03A6 = 3', scope); // Greek Capital Letter Phi
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assert.strictEqual(scope['\u03A6'], 3);
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math.eval('\u03A9 = 4', scope); // Greek Capital Letter Omega
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assert.strictEqual(scope['\u03A9'], 4);
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math.eval('k\u00F6ln = 5', scope); // Combination of latin and unicode
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assert.strictEqual(scope['k\u00F6ln'], 5);
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// test unicode characters in the astral plane (surrogate pairs
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math.eval('\uD835\uDD38 = 1', scope); // double struck capital A
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assert.strictEqual(scope['\uD835\uDD38'], 1);
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// should not allow the "holes"
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assert.throws(function () {
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math.eval('\uD835\uDCA3 = 1', scope);
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})
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});
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describe('multiline', function () {
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it('should parse multiline expressions', function() {
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assert.deepEqual(parse('a=3\nb=4\na*b').compile().eval(), new ResultSet([3, 4, 12]));
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assert.deepEqual(parse('b = 43; b * 4').compile().eval(), new ResultSet([172]));
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});
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it('should skip empty lines in multiline expressions', function() {
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assert.deepEqual(parse('\n;\n2 * 4\n').compile().eval(), new ResultSet([8]));
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});
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it('should spread operators over multiple lines', function() {
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assert.deepEqual(parse('2+\n3').compile().eval(), 5);
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assert.deepEqual(parse('2+\n\n3').compile().eval(), 5);
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assert.deepEqual(parse('2*\n3').compile().eval(), 6);
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assert.deepEqual(parse('2^\n3').compile().eval(), 8);
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assert.deepEqual(parse('2==\n3').compile().eval(), false);
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assert.deepEqual(parse('2*-\n3').compile().eval(), -6);
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});
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it('should parse multiple function assignments', function() {
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var scope = {};
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parse('f(x)=x*2;g(x)=x*3').compile().eval(scope);
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assert.equal(scope.f(2), 4);
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assert.equal(scope.g(2), 6);
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var scope2 = {};
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parse('a=2;f(x)=x^a;').compile().eval(scope2);
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assert.equal(scope2.a, 2);
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assert.equal(scope2.f(3), 9);
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});
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it ('should correctly scope a function variable if also used outside the function', function () {
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var scope = {};
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var res = parse('x=2;f(x)=x^2;x').compile().eval(scope); // x should be x=2, not x of the function
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assert.deepEqual(res, {entries: [2]});
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assert.equal(scope.x, 2);
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assert.equal(scope.f(3), 9);
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});
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it('should spread a function over multiple lines', function() {
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assert.deepEqual(parse('add(\n4\n,\n2\n)').compile().eval(), 6);
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});
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it('should spread contents of parameters over multiple lines', function() {
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assert.deepEqual(parse('(\n4\n+\n2\n)').compile().eval(), 6);
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});
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it('should spread a function assignment over multiple lines', function() {
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assert.deepEqual(typeof parse('f(\nx\n,\ny\n)=\nx+\ny').compile().eval(), 'function');
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});
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it('should spread a variable assignment over multiple lines', function() {
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assert.deepEqual(parse('x=\n2').compile().eval(), 2);
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});
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it('should spread a matrix over multiple lines', function() {
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assert.deepEqual(parse('[\n1\n,\n2\n]').compile().eval(), math.matrix([1, 2]));
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});
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it('should spread a range over multiple lines', function() {
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assert.deepEqual(parse('2:\n4').compile().eval(), math.matrix([2,3,4]));
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assert.deepEqual(parse('2:\n2:\n6').compile().eval(), math.matrix([2,4,6]));
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});
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it('should spread an index over multiple lines', function() {
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assert.deepEqual(parse('a[\n1\n,\n1\n]').compile().eval({a: [[1,2],[3,4]]}), 1);
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assert.deepEqual(parse('a[\n1\n,\n1\n]=\n100').compile().eval({a: [[1,2],[3,4]]}), [[100,2],[3,4]]);
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});
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});
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it('should throw an error when scope contains a reserved keyword', function() {
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var scope = {
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end: 2
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};
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assert.throws(function () {
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parse('2+3').compile().eval(scope);
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}, /Scope contains an illegal symbol/);
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});
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it('should give informative syntax errors', function() {
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assert.throws(function () {parse('2 +');}, /Unexpected end of expression \(char 4\)/);
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assert.throws(function () {parse('2 + 3 + *');}, /Value expected \(char 9\)/);
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});
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it('should throw an error if called with wrong number of arguments', function() {
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assert.throws(function () {parse();}, ArgumentsError);
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assert.throws(function () {parse(1,2,3);}, ArgumentsError);
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assert.throws(function () {parse([1, 2]);}, TypeError);
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});
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it('should throw an error if called with a wrong type of argument', function() {
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assert.throws(function () {parse(23);}, TypeError);
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assert.throws(function () {parse(math.unit('5cm'));}, TypeError);
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assert.throws(function () {parse(new Complex(2,3));}, TypeError);
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assert.throws(function () {parse(true);}, TypeError);
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});
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it('should throw an error in case of unsupported characters', function() {
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assert.throws(function () {parse('2\u00A1');}, /Syntax error in part "\u00A1"/);
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});
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describe('comments', function () {
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it('should skip comments', function() {
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assert.equal(parseAndEval('2 + 3 # - 4'), 5);
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});
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it('should skip comments in a ResultSet', function() {
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assert.deepEqual(parseAndEval('2 + 3 # - 4\n6-2'), new ResultSet([5, 4]));
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});
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});
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describe('number', function () {
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it('should parse valid numbers', function() {
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assert.equal(parseAndEval('0'), 0);
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assert.equal(parseAndEval('3'), 3);
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assert.equal(parseAndEval('3.2'), 3.2);
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assert.equal(parseAndEval('003.2'), 3.2);
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assert.equal(parseAndEval('003.200'), 3.2);
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assert.equal(parseAndEval('.2'), 0.2);
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assert.equal(parseAndEval('2.'), 2);
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assert.equal(parseAndEval('3e2'), 300);
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assert.equal(parseAndEval('300e2'), 30000);
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assert.equal(parseAndEval('300e+2'), 30000);
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assert.equal(parseAndEval('300e-2'), 3);
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assert.equal(parseAndEval('300E-2'), 3);
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assert.equal(parseAndEval('3.2e2'), 320);
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});
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it('should parse a number followed by e', function() {
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approx.equal(parseAndEval('2e'), 2 * Math.E);
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});
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it('should throw an error with invalid numbers', function() {
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assert.throws(function () {parseAndEval('.'); }, SyntaxError);
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assert.throws(function () {parseAndEval('3.2.2'); }, SyntaxError);
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assert.throws(function () {parseAndEval('3.2e2.2'); }, SyntaxError);
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});
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});
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describe('bignumber', function () {
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it('should parse bignumbers', function() {
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assert.deepEqual(parseAndEval('bignumber(0.1)'), math.bignumber(0.1));
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assert.deepEqual(parseAndEval('bignumber("1.2e500")'), math.bignumber('1.2e500'));
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});
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it('should output bignumbers if default number type is bignumber', function() {
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var bigmath = math.create({
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number: 'bignumber'
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});
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assert.deepEqual(bigmath.parse('0.1').compile().eval(), bigmath.bignumber(0.1));
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assert.deepEqual(bigmath.parse('1.2e5000').compile().eval(), bigmath.bignumber('1.2e5000'));
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});
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});
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describe('fraction', function () {
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it('should output fractions if default number type is fraction', function() {
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var fmath = math.create({
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number: 'fraction'
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});
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assert(fmath.parse('0.1').compile().eval() instanceof math.type.Fraction);
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assert.equal(fmath.parse('1/3').compile().eval().toString(), '0.(3)');
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assert.equal(fmath.parse('0.1+0.2').compile().eval().toString(), '0.3');
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});
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});
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describe('string', function () {
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it('should parse a string', function() {
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assert.deepEqual(parseAndEval('"hello"'), "hello");
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assert.deepEqual(parseAndEval(' "hi" '), "hi");
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});
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it('should throw an error with invalid strings', function() {
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assert.throws(function () {parseAndEval('"hi'); }, SyntaxError);
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assert.throws(function () {parseAndEval(' hi" '); }, Error);
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});
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it('should get a string subset', function() {
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var scope = {};
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assert.deepEqual(parseAndEval('c="hello"', scope), "hello");
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assert.deepEqual(parseAndEval('c[2:4]', scope), "ell");
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assert.deepEqual(parseAndEval('c[5:-1:1]', scope), "olleh");
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assert.deepEqual(parseAndEval('c[end-2:-1:1]', scope), "leh");
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assert.deepEqual(parseAndEval('"hello"[2:4]', scope), "ell");
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});
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it('should set a string subset', function() {
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var scope = {};
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assert.deepEqual(parseAndEval('c="hello"', scope), "hello");
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assert.deepEqual(parseAndEval('c[1] = "H"', scope), "Hello");
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assert.deepEqual(parseAndEval('c', scope), "Hello");
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assert.deepEqual(parseAndEval('c[6:11] = " world"', scope), "Hello world");
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assert.deepEqual(parseAndEval('c', scope), "Hello world");
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assert.deepEqual(scope.c, "Hello world");
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});
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});
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describe('unit', function () {
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it('should parse units', function() {
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assert.deepEqual(parseAndEval('5cm'), new Unit(5, 'cm'));
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assert.ok(parseAndEval('5cm') instanceof Unit);
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});
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it('should correctly parse negative temperatures', function () {
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approx.deepEqual(parseAndEval('-6 celsius'), new Unit(-6, 'celsius'));
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approx.deepEqual(parseAndEval('--6 celsius'), new Unit(6, 'celsius'));
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approx.deepEqual(parseAndEval('-6 celsius to fahrenheit'),
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new Unit(21.2, 'fahrenheit').to('fahrenheit'));
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});
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it('should convert units', function() {
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var scope = {};
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approx.deepEqual(parseAndEval('(5.08 cm * 1000) to inch', scope),
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math.unit(2000, 'inch').to('inch'));
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approx.deepEqual(parseAndEval('a = (5.08 cm * 1000) to mm', scope),
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math.unit(50800, 'mm').to('mm'));
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approx.deepEqual(parseAndEval('a to inch', scope),
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math.unit(2000, 'inch').to('inch'));
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approx.deepEqual(parseAndEval('10 celsius to fahrenheit'),
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math.unit(50, 'fahrenheit').to('fahrenheit'));
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approx.deepEqual(parseAndEval('20 celsius to fahrenheit'),
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math.unit(68, 'fahrenheit').to('fahrenheit'));
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approx.deepEqual(parseAndEval('50 fahrenheit to celsius'),
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math.unit(10, 'celsius').to('celsius'));
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});
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it('should evaluate operator "to" with correct precedence ', function () {
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approx.deepEqual(parseAndEval('5.08 cm * 1000 to inch'),
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new Unit(2000, 'inch').to('inch'));
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});
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it('should evaluate operator "in" (alias of "to") ', function () {
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approx.deepEqual(parseAndEval('5.08 cm in inch'),
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new Unit(2, 'inch').to('inch'));
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});
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it('should evaluate unit "in" (should not conflict with operator "in")', function () {
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approx.deepEqual(parseAndEval('2 in'), new Unit(2, 'in'));
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approx.deepEqual(parseAndEval('5.08 cm in in'), new Unit(2, 'in').to('in'));
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approx.deepEqual(parseAndEval('5 in in in'), new Unit(5, 'in').to('in'));
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approx.deepEqual(parseAndEval('2 in to meter'), new Unit(2, 'inch').to('meter'));
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approx.deepEqual(parseAndEval('2 in in meter'), new Unit(2, 'inch').to('meter'));
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approx.deepEqual(parseAndEval('a in inch', {a: new Unit(5.08, 'cm')}), new Unit(2, 'inch').to('inch'));
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// Note: the following is not supported (due to conflicts):
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//approx.deepEqual(parseAndEval('(2+3) in'), new Unit(5, 'inch'));
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//approx.deepEqual(parseAndEval('a in', {a: 5}), new Unit(5, 'inch'));
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});
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});
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describe('complex', function () {
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it('should parse complex values', function () {
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assert.deepEqual(parseAndEval('i'), new Complex(0,1));
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assert.deepEqual(parseAndEval('2+3i'), new Complex(2,3));
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assert.deepEqual(parseAndEval('2+3*i'), new Complex(2,3));
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assert.deepEqual(parseAndEval('1/2i'), new Complex(0, 0.5));
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});
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});
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describe('matrix', function () {
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it('should parse a matrix', function() {
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assert.ok(parseAndEval('[1,2;3,4]') instanceof Matrix);
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var m = parseAndEval('[1,2,3;4,5,6]');
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assert.deepEqual(m.size(), [2,3]);
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assert.deepEqual(m, math.matrix([[1,2,3],[4,5,6]]));
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var b = parseAndEval('[5, 6; 1, 1]');
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assert.deepEqual(b.size(), [2,2]);
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assert.deepEqual(b, math.matrix([[5,6],[1,1]]));
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// from 1 to n dimensions
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assert.deepEqual(parseAndEval('[ ]'), math.matrix([]));
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assert.deepEqual(parseAndEval('[1,2,3]'), math.matrix([1,2,3]));
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assert.deepEqual(parseAndEval('[1;2;3]'), math.matrix([[1],[2],[3]]));
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assert.deepEqual(parseAndEval('[[1,2],[3,4]]'), math.matrix([[1,2],[3,4]]));
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assert.deepEqual(parseAndEval('[[[1],[2]],[[3],[4]]]'), math.matrix([[[1],[2]],[[3],[4]]]));
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});
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it('should parse an empty matrix', function() {
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assert.deepEqual(parseAndEval('[]'), math.matrix([]));
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});
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it('should get a matrix subset', function() {
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var scope = {
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a: math.matrix([
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[1,2,3],
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[4,5,6],
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[7,8,9]
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])
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};
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assert.deepEqual(parseAndEval('a[2, :]', scope), math.matrix([[4,5,6]]));
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assert.deepEqual(parseAndEval('a[2, :2]', scope), math.matrix([[4,5]]));
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assert.deepEqual(parseAndEval('a[2, :end-1]', scope), math.matrix([[4,5]]));
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assert.deepEqual(parseAndEval('a[2, 2:]', scope), math.matrix([[5,6]]));
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assert.deepEqual(parseAndEval('a[2, 2:3]', scope), math.matrix([[5,6]]));
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assert.deepEqual(parseAndEval('a[2, 1:2:3]', scope), math.matrix([[4,6]]));
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assert.deepEqual(parseAndEval('a[:, 2]', scope), math.matrix([[2],[5],[8]]));
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assert.deepEqual(parseAndEval('a[:2, 2]', scope), math.matrix([[2],[5]]));
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assert.deepEqual(parseAndEval('a[:end-1, 2]', scope), math.matrix([[2],[5]]));
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assert.deepEqual(parseAndEval('a[2:, 2]', scope), math.matrix([[5],[8]]));
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assert.deepEqual(parseAndEval('a[2:3, 2]', scope), math.matrix([[5],[8]]));
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assert.deepEqual(parseAndEval('a[1:2:3, 2]', scope), math.matrix([[2],[8]]));
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});
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it('should parse matrix resizings', function() {
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var scope = {};
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assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]));
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assert.deepEqual(parseAndEval('a[1:3,1] = [1;2;3]', scope), math.matrix([[1],[2],[3]]));
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assert.deepEqual(parseAndEval('a[:,2] = [4;5;6]', scope), math.matrix([[1,4],[2,5],[3,6]]));
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assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]));
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assert.deepEqual(parseAndEval('a[1,3] = 3', scope), math.matrix([[0,0,3]]));
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assert.deepEqual(parseAndEval('a[2,:] = [[4,5,6]]', scope), math.matrix([[0,0,3],[4,5,6]]));
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assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]));
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assert.deepEqual(parseAndEval('a[3,1] = 3', scope), math.matrix([[0],[0],[3]]));
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assert.deepEqual(parseAndEval('a[:,2] = [4;5;6]', scope), math.matrix([[0,4],[0,5],[3,6]]));
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assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]));
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assert.deepEqual(parseAndEval('a[1,1:3] = [[1,2,3]]', scope), math.matrix([[1,2,3]]));
|
|
assert.deepEqual(parseAndEval('a[2,:] = [[4,5,6]]', scope), math.matrix([[1,2,3],[4,5,6]]));
|
|
});
|
|
|
|
it('should get/set the matrix correctly', function() {
|
|
var scope = {};
|
|
parseAndEval('a=[1,2;3,4]', scope);
|
|
parseAndEval('a[1,1] = 100', scope);
|
|
assert.deepEqual(scope.a.size(), [2,2]);
|
|
assert.deepEqual(scope.a, math.matrix([[100,2],[3,4]]));
|
|
parseAndEval('a[2:3,2:3] = [10,11;12,13]', scope);
|
|
assert.deepEqual(scope.a.size(), [3,3]);
|
|
assert.deepEqual(scope.a, math.matrix([[100, 2, 0],[3,10,11],[0,12,13]]));
|
|
var a = scope.a;
|
|
// note: after getting subset, uninitialized elements are replaced by elements with an undefined value
|
|
assert.deepEqual(a.subset(math.index(new Range(0,3), new Range(0,2))), math.matrix([[100,2],[3,10],[0,12]]));
|
|
assert.deepEqual(parseAndEval('a[1:3,1:2]', scope), math.matrix([[100,2],[3,10],[0,12]]));
|
|
|
|
scope.b = [[1,2],[3,4]];
|
|
assert.deepEqual(parseAndEval('b[1,:]', scope), [[1, 2]]);
|
|
});
|
|
|
|
it('should get/set the matrix correctly for 3d matrices', function() {
|
|
var scope = {};
|
|
assert.deepEqual(parseAndEval('f=[1,2;3,4]', scope), math.matrix([[1,2],[3,4]]));
|
|
assert.deepEqual(parseAndEval('size(f)', scope), math.matrix([2,2]));
|
|
|
|
assert.deepEqual(parseAndEval('f[:,:,2]=[5,6;7,8]', scope), math.matrix([
|
|
[
|
|
[1,5],
|
|
[2,6]
|
|
],
|
|
[
|
|
[3,7],
|
|
[4,8]
|
|
]
|
|
]));
|
|
|
|
assert.deepEqual(parseAndEval('size(f)', scope), math.matrix([2,2,2]));
|
|
assert.deepEqual(parseAndEval('f[:,:,1]', scope), math.matrix([[[1],[2]],[[3],[4]]]));
|
|
assert.deepEqual(parseAndEval('f[:,:,2]', scope), math.matrix([[[5],[6]],[[7],[8]]]));
|
|
assert.deepEqual(parseAndEval('f[:,2,:]', scope), math.matrix([[[2,6]],[[4,8]]]));
|
|
assert.deepEqual(parseAndEval('f[2,:,:]', scope), math.matrix([[[3,7],[4,8]]]));
|
|
|
|
parseAndEval('a=diag([1,2,3,4])', scope);
|
|
assert.deepEqual(parseAndEval('a[3:end, 3:end]', scope), math.matrix([[3,0],[0,4]]));
|
|
assert.deepEqual(parseAndEval('a[3:end, 2:end]=9*ones(2,3)', scope), math.matrix([
|
|
[1,0,0,0],
|
|
[0,2,0,0],
|
|
[0,9,9,9],
|
|
[0,9,9,9]
|
|
]));
|
|
assert.deepEqual(parseAndEval('a[2:end-1, 2:end-1]', scope), math.matrix([[2,0],[9,9]]));
|
|
});
|
|
|
|
it('should merge nested matrices', function() {
|
|
var scope = {};
|
|
parseAndEval('a=[1,2;3,4]', scope);
|
|
|
|
});
|
|
|
|
it('should parse matrix concatenations', function() {
|
|
var scope = {};
|
|
parseAndEval('a=[1,2;3,4]', scope);
|
|
parseAndEval('b=[5,6;7,8]', scope);
|
|
assert.deepEqual(parseAndEval('c=concat(a,b)', scope), math.matrix([[1,2,5,6],[3,4,7,8]]));
|
|
assert.deepEqual(parseAndEval('c=concat(a,b,1)', scope), math.matrix([[1,2],[3,4],[5,6],[7,8]]));
|
|
assert.deepEqual(parseAndEval('c=concat(concat(a,b), concat(b,a), 1)', scope), math.matrix([[1,2,5,6],[3,4,7,8],[5,6,1,2],[7,8,3,4]]));
|
|
assert.deepEqual(parseAndEval('c=concat([[1,2]], [[3,4]], 1)', scope), math.matrix([[1,2],[3,4]]));
|
|
assert.deepEqual(parseAndEval('c=concat([[1,2]], [[3,4]], 2)', scope), math.matrix([[1,2,3,4]]));
|
|
assert.deepEqual(parseAndEval('c=concat([[1]], [2;3], 1)', scope), math.matrix([[1],[2],[3]]));
|
|
assert.deepEqual(parseAndEval('d=1:3', scope), math.matrix([1,2,3]));
|
|
assert.deepEqual(parseAndEval('concat(d,d)', scope), math.matrix([1,2,3,1,2,3]));
|
|
assert.deepEqual(parseAndEval('e=1+d', scope), math.matrix([2,3,4]));
|
|
assert.deepEqual(parseAndEval('size(e)', scope), math.matrix([3]));
|
|
assert.deepEqual(parseAndEval('concat(e,e)', scope), math.matrix([2,3,4,2,3,4]));
|
|
assert.deepEqual(parseAndEval('[[],[]]', scope), math.matrix([[],[]]));
|
|
assert.deepEqual(parseAndEval('[[],[]]', scope).size(), [2, 0]);
|
|
assert.deepEqual(parseAndEval('size([[],[]])', scope), math.matrix([2, 0]));
|
|
});
|
|
|
|
it('should execute map on an array with one based indices', function () {
|
|
var logs = [];
|
|
var scope = {
|
|
A: [1,2,3],
|
|
callback: function (value, index, matrix) {
|
|
assert.strictEqual(matrix, scope.A);
|
|
// note: we don't copy index, index should be a new Array for every call of callback
|
|
logs.push([value, index]);
|
|
return value + 1;
|
|
}
|
|
};
|
|
var res = math.eval('map(A, callback)', scope);
|
|
assert.deepEqual(res, [2,3,4]);
|
|
|
|
assert.deepEqual(logs, [[1, [1]], [2, [2]], [3, [3]]]);
|
|
});
|
|
|
|
it('should execute map on a Matrix with one based indices', function () {
|
|
var logs = [];
|
|
var scope = {
|
|
A: math.matrix([1,2,3]),
|
|
callback: function (value, index, matrix) {
|
|
assert.strictEqual(matrix, scope.A);
|
|
// note: we don't copy index, index should be a new Array for every call of callback
|
|
logs.push([value, index]);
|
|
return value + 1;
|
|
}
|
|
};
|
|
var res = math.eval('map(A, callback)', scope);
|
|
assert.deepEqual(res, math.matrix([2,3,4]));
|
|
|
|
assert.deepEqual(logs, [[1, [1]], [2, [2]], [3, [3]]]);
|
|
});
|
|
|
|
it('should execute forEach on an array with one based indices', function () {
|
|
var logs = [];
|
|
var scope = {
|
|
A: [1,2,3],
|
|
callback: function (value, index, matrix) {
|
|
assert.strictEqual(matrix, scope.A);
|
|
// note: we don't copy index, index should be a new Array for every call of callback
|
|
logs.push([value, index]);
|
|
}
|
|
};
|
|
math.eval('forEach(A, callback)', scope);
|
|
|
|
assert.deepEqual(logs, [[1, [1]], [2, [2]], [3, [3]]]);
|
|
});
|
|
|
|
it('should execute forEach on a Matrix with one based indices', function () {
|
|
var logs = [];
|
|
var scope = {
|
|
A: math.matrix([1,2,3]),
|
|
callback: function (value, index, matrix) {
|
|
assert.strictEqual(matrix, scope.A);
|
|
// note: we don't copy index, index should be a new Array for every call of callback
|
|
logs.push([value, index]);
|
|
}
|
|
};
|
|
math.eval('forEach(A, callback)', scope);
|
|
|
|
assert.deepEqual(logs, [[1, [1]], [2, [2]], [3, [3]]]);
|
|
});
|
|
|
|
it('should disable arrays as range in a matrix index', function () {
|
|
var scope = {
|
|
a: [[1,2,3],[4,5,6]]
|
|
};
|
|
|
|
assert.throws(function () {
|
|
parseAndEval('a[2, "1"]', scope);
|
|
}, /TypeError: Ranges must be a Number, Range, Array or Matrix/);
|
|
});
|
|
|
|
it('should throw an error for invalid matrix', function() {
|
|
assert.throws(function () {parseAndEval('[1, 2');}, /End of matrix ] expected/);
|
|
assert.throws(function () {parseAndEval('[1; 2');}, /End of matrix ] expected/);
|
|
});
|
|
|
|
it('should throw an error when matrix rows mismatch', function() {
|
|
assert.throws(function () {parseAndEval('[1, 2; 1, 2, 3]');}, /Column dimensions mismatch/);
|
|
});
|
|
|
|
it('should throw an error for invalid matrix subsets', function() {
|
|
var scope = {a: [1,2,3]};
|
|
assert.throws(function () {parseAndEval('a[1', scope);}, /Parenthesis ] expected/);
|
|
});
|
|
|
|
it('should throw an error for invalid matrix concatenations', function() {
|
|
var scope = {};
|
|
assert.throws(function () {parseAndEval('c=concat(a, [1,2,3])', scope);});
|
|
});
|
|
});
|
|
|
|
describe('boolean', function () {
|
|
|
|
it('should parse boolean values', function () {
|
|
assert.equal(parseAndEval('true'), true);
|
|
assert.equal(parseAndEval('false'), false);
|
|
});
|
|
|
|
});
|
|
|
|
|
|
describe('constants', function () {
|
|
|
|
it('should parse constants', function() {
|
|
assert.deepEqual(parseAndEval('i'), new Complex(0, 1));
|
|
approx.equal(parseAndEval('pi'), Math.PI);
|
|
approx.equal(parseAndEval('e'), Math.E);
|
|
});
|
|
|
|
});
|
|
|
|
describe('variables', function () {
|
|
|
|
it('should parse valid variable assignments', function() {
|
|
var scope = {};
|
|
assert.equal(parseAndEval('a = 0.75', scope), 0.75);
|
|
assert.equal(parseAndEval('a + 2', scope), 2.75);
|
|
assert.equal(parseAndEval('a = 2', scope), 2);
|
|
assert.equal(parseAndEval('a + 2', scope), 4);
|
|
approx.equal(parseAndEval('pi * 2', scope), 6.283185307179586);
|
|
});
|
|
|
|
it('should throw an error on undefined symbol', function() {
|
|
assert.throws(function() {parseAndEval('qqq + 2'); });
|
|
});
|
|
|
|
it('should throw an error on invalid assignments', function() {
|
|
//assert.throws(function () {parseAndEval('sin(2) = 0.75')}, SyntaxError); // TODO: should this throw an exception?
|
|
assert.throws(function () {parseAndEval('sin + 2 = 3');}, SyntaxError);
|
|
});
|
|
|
|
it('should parse nested assignments', function() {
|
|
var scope = [];
|
|
assert.equal(parseAndEval('c = d = (e = 4.5)', scope), 4.5);
|
|
assert.equal(scope.c, 4.5);
|
|
assert.equal(scope.d, 4.5);
|
|
assert.equal(scope.e, 4.5);
|
|
assert.deepEqual(parseAndEval('a = [1,2,f=3]', scope), math.matrix([1,2,3]));
|
|
assert.equal(scope.f, 3);
|
|
assert.equal(parseAndEval('2 + (g = 3 + 4)', scope), 9);
|
|
assert.equal(scope.g, 7);
|
|
});
|
|
|
|
it('should throw an error for invalid nested assignments', function() {
|
|
assert.throws(function () {parseAndEval('a(j = 3)', {});}, SyntaxError);
|
|
});
|
|
|
|
});
|
|
|
|
|
|
describe('functions', function () {
|
|
|
|
it('should parse functions', function() {
|
|
assert.equal(parseAndEval('sqrt(4)'), 2);
|
|
assert.equal(parseAndEval('sqrt(6+3)'), 3);
|
|
assert.equal(parseAndEval('atan2(2,2)'), 0.7853981633974483);
|
|
assert.deepEqual(parseAndEval('sqrt(-4)'), new Complex(0, 2));
|
|
assert.equal(parseAndEval('abs(-4.2)'), 4.2);
|
|
assert.equal(parseAndEval('add(2, 3)'), 5);
|
|
approx.deepEqual(parseAndEval('1+exp(pi*i)'), new Complex(0, 0));
|
|
assert.equal(parseAndEval('unequal(2, 3)'), true);
|
|
});
|
|
|
|
it('should parse functions without parameters', function() {
|
|
assert.equal(parseAndEval('r()', {r: function() {return 2;}}), 2);
|
|
});
|
|
|
|
it('should parse function assignments', function() {
|
|
var scope = {};
|
|
parseAndEval('x=100', scope); // for testing scoping of the function variables
|
|
assert.equal(parseAndEval('f(x) = x^2', scope).syntax, 'f(x)');
|
|
assert.equal(parseAndEval('f(3)', scope), 9);
|
|
assert.equal(scope.f(3), 9);
|
|
assert.equal(scope.x, 100);
|
|
assert.equal(parseAndEval('g(x, y) = x^y', scope).syntax, 'g(x, y)');
|
|
assert.equal(parseAndEval('g(4,5)', scope), 1024);
|
|
assert.equal(scope.g(4,5), 1024);
|
|
});
|
|
|
|
it ('should correctly evaluate variables in assigned functions', function () {
|
|
var scope = {};
|
|
assert.equal(parseAndEval('a = 3', scope), 3);
|
|
assert.equal(parseAndEval('f(x) = a * x', scope).syntax, 'f(x)');
|
|
assert.equal(parseAndEval('f(2)', scope), 6);
|
|
assert.equal(parseAndEval('a = 5', scope), 5);
|
|
assert.equal(parseAndEval('f(2)', scope), 10);
|
|
assert.equal(parseAndEval('g(x) = x^q', scope).syntax, 'g(x)');
|
|
assert.equal(parseAndEval('q = 4/2', scope), 2);
|
|
assert.equal(parseAndEval('g(3)', scope), 9);
|
|
});
|
|
|
|
it('should throw an error for undefined variables in an assigned function', function() {
|
|
var scope = {};
|
|
assert.equal(parseAndEval('g(x) = x^q', scope).syntax, 'g(x)');
|
|
assert.throws(function () {
|
|
parseAndEval('g(3)', scope);
|
|
}, function (err) {
|
|
return (err instanceof Error) && (err.toString() == 'Error: Undefined symbol q');
|
|
});
|
|
});
|
|
|
|
it('should throw an error on invalid left hand side of a function assignment', function() {
|
|
assert.throws(function () {
|
|
var scope = {};
|
|
parseAndEval('g(x, 2) = x^2', scope);
|
|
}, SyntaxError);
|
|
|
|
assert.throws(function () {
|
|
var scope = {};
|
|
parseAndEval('2(x, 2) = x^2', scope);
|
|
}, SyntaxError);
|
|
});
|
|
});
|
|
|
|
describe ('parentheses', function () {
|
|
it('should parse parentheses overriding the default precedence', function () {
|
|
approx.equal(parseAndEval('2 - (2 - 2)'), 2);
|
|
approx.equal(parseAndEval('2 - ((2 - 2) - 2)'), 4);
|
|
approx.equal(parseAndEval('3 * (2 + 3)'), 15);
|
|
approx.equal(parseAndEval('(2 + 3) * 3'), 15);
|
|
});
|
|
|
|
it('should throw an error in case of unclosed parentheses', function () {
|
|
assert.throws(function () {parseAndEval('3 * (1 + 2');}, /Parenthesis \) expected/);
|
|
});
|
|
});
|
|
|
|
describe ('operators', function () {
|
|
|
|
it('should parse operations', function() {
|
|
approx.equal(parseAndEval('(2+3)/4'), 1.25);
|
|
approx.equal(parseAndEval('2+3/4'), 2.75);
|
|
assert.equal(parse('0 + 2').toString(), '0 + 2');
|
|
});
|
|
|
|
it('should parse add +', function() {
|
|
assert.equal(parseAndEval('2 + 3'), 5);
|
|
assert.equal(parseAndEval('2 + 3 + 4'), 9);
|
|
});
|
|
|
|
it('should parse divide /', function() {
|
|
assert.equal(parseAndEval('4 / 2'), 2);
|
|
assert.equal(parseAndEval('8 / 2 / 2'), 2);
|
|
});
|
|
|
|
it('should parse dotDivide ./', function() {
|
|
assert.equal(parseAndEval('4./2'), 2);
|
|
assert.equal(parseAndEval('4 ./ 2'), 2);
|
|
assert.equal(parseAndEval('8 ./ 2 / 2'), 2);
|
|
|
|
assert.deepEqual(parseAndEval('[1,2,3] ./ [1,2,3]'), math.matrix([1,1,1]));
|
|
});
|
|
|
|
it('should parse dotMultiply .*', function() {
|
|
approx.deepEqual(parseAndEval('2.*3'), 6);
|
|
approx.deepEqual(parseAndEval('2 .* 3'), 6);
|
|
approx.deepEqual(parseAndEval('2. * 3'), 6);
|
|
approx.deepEqual(parseAndEval('4 .* 2'), 8);
|
|
approx.deepEqual(parseAndEval('8 .* 2 .* 2'), 32);
|
|
assert.deepEqual(parseAndEval('a=3; a.*4'), new ResultSet([12]));
|
|
|
|
assert.deepEqual(parseAndEval('[1,2,3] .* [1,2,3]'), math.matrix([1,4,9]));
|
|
});
|
|
|
|
it('should parse dotPower .^', function() {
|
|
approx.deepEqual(parseAndEval('2.^3'), 8);
|
|
approx.deepEqual(parseAndEval('2 .^ 3'), 8);
|
|
assert.deepEqual(parseAndEval('2. ^ 3'), 8);
|
|
approx.deepEqual(parseAndEval('-2.^2'), -4); // -(2^2)
|
|
approx.deepEqual(parseAndEval('2.^3.^4'), 2.41785163922926e+24); // 2^(3^4)
|
|
|
|
assert.deepEqual(parseAndEval('[2,3] .^ [2,3]'), math.matrix([4,27]));
|
|
});
|
|
|
|
it('should parse equal ==', function() {
|
|
assert.strictEqual(parseAndEval('2 == 3'), false);
|
|
assert.strictEqual(parseAndEval('2 == 2'), true);
|
|
assert.deepEqual(parseAndEval('[2,3] == [2,4]'), math.matrix([true, false]));
|
|
});
|
|
|
|
it('should parse larger >', function() {
|
|
assert.equal(parseAndEval('2 > 3'), false);
|
|
assert.equal(parseAndEval('2 > 2'), false);
|
|
assert.equal(parseAndEval('2 > 1'), true);
|
|
});
|
|
|
|
it('should parse largerEq >=', function() {
|
|
assert.equal(parseAndEval('2 >= 3'), false);
|
|
assert.equal(parseAndEval('2 >= 2'), true);
|
|
assert.equal(parseAndEval('2 >= 1'), true);
|
|
});
|
|
|
|
it('should parse mod %', function() {
|
|
approx.equal(parseAndEval('8 % 3'), 2);
|
|
});
|
|
|
|
it('should parse operator mod', function() {
|
|
approx.equal(parseAndEval('8 mod 3'), 2);
|
|
});
|
|
|
|
it('should parse multiply *', function() {
|
|
approx.equal(parseAndEval('4 * 2'), 8);
|
|
approx.equal(parseAndEval('8 * 2 * 2'), 32);
|
|
});
|
|
|
|
it('should parse implicit multiplication', function() {
|
|
assert.equal(parseAndEval('4a', {a:2}), 8);
|
|
assert.equal(parseAndEval('4 a', {a:2}), 8);
|
|
assert.equal(parseAndEval('a b', {a: 2, b: 4}), 8);
|
|
assert.equal(parseAndEval('2a b', {a: 2, b: 4}), 16);
|
|
assert.equal(parseAndEval('2a * b', {a: 2, b: 4}), 16);
|
|
assert.equal(parseAndEval('2a / b', {a: 2, b: 4}), 1);
|
|
assert.equal(parseAndEval('a b c', {a: 2, b: 4, c: 6}), 48);
|
|
assert.equal(parseAndEval('a b*c', {a: 2, b: 4, c: 6}), 48);
|
|
assert.equal(parseAndEval('a*b c', {a: 2, b: 4, c: 6}), 48);
|
|
assert.equal(parseAndEval('a/b c', {a: 4, b: 2, c: 6}), 12);
|
|
|
|
assert.equal(parseAndEval('1/2a', {a:2}), 1);
|
|
assert.equal(parseAndEval('8/2a/2', {a:2}), 4);
|
|
assert.equal(parseAndEval('8/2a*2', {a:2}), 16);
|
|
assert.equal(parseAndEval('4*2a', {a:2}), 16);
|
|
|
|
assert.equal(parseAndEval('(2+3)a', {a:2}), 10);
|
|
assert.equal(parseAndEval('(2+3)2'), 10);
|
|
assert.equal(parseAndEval('(2+3)-2'), 3); // no implicit multiplication, just a unary minus
|
|
assert.equal(parseAndEval('(2+3)(-2)'), -10); //implicit multiplication
|
|
assert.equal(parseAndEval('4(2+3)'), 20);
|
|
assert.equal(parseAndEval('(a)(2+3)', {a:4}), 20); // implicit multiplication
|
|
assert.equal(parseAndEval('a(2+3)', {a: function() {return 42;}}), 42); // function call
|
|
|
|
assert.equal(parseAndEval('(2+3)(4+5)'), 45);
|
|
assert.equal(parseAndEval('(2+3)(4+5)(3-1)'), 90);
|
|
|
|
assert.equal(parseAndEval('(2a)^3', {a:2}), 64);
|
|
assert.equal(parseAndEval('sqrt(2a)', {a:2}), 2);
|
|
|
|
assert.deepEqual(parseAndEval('[2, 3] 2'), math.matrix([4, 6]));
|
|
assert.deepEqual(parseAndEval('[2, 3] a', {a:2}), math.matrix([4, 6]));
|
|
assert.deepEqual(parseAndEval('[2, 3] [3, 2]', {a:2}), 12); // implicit multiplication
|
|
assert.deepEqual(parseAndEval('2 [2, 3]'), math.matrix([4, 6]));
|
|
assert.deepEqual(parseAndEval('(A) [2,2,2]', {A: [1,2,3]}), 12); // implicit multiplication
|
|
assert.deepEqual(parseAndEval('A [2,2]', {A: [[1,2], [3,4]]}), 4); // index, no multiplication
|
|
});
|
|
|
|
it('should correctly order consecutive multiplications and implicit multiplications', function() {
|
|
var node = parse('9km*3km');
|
|
assert.equal(node.toString({parenthesis: 'all'}), '((9 * km) * 3) * km');
|
|
});
|
|
|
|
it('should throw an error when having an implicit multiplication between two numbers', function() {
|
|
assert.throws(function () { math.parse('2 3'); }, /Unexpected part "3"/);
|
|
assert.throws(function () { math.parse('2 * 3 4'); }, /Unexpected part "4"/);
|
|
assert.throws(function () { math.parse('2 * 3 4 * 5'); }, /Unexpected part "4"/);
|
|
assert.throws(function () { math.parse('2 / 3 4 5'); }, /Unexpected part "4"/);
|
|
assert.throws(function () { math.parse('2 + 3 4'); }, /Unexpected part "4"/);
|
|
});
|
|
|
|
it('should parse pow ^', function() {
|
|
approx.equal(parseAndEval('2^3'), 8);
|
|
approx.equal(parseAndEval('-2^2'), -4); // -(2^2)
|
|
approx.equal(parseAndEval('2^3^4'), 2.41785163922926e+24); // 2^(3^4)
|
|
});
|
|
|
|
it('should parse smaller <', function() {
|
|
assert.strictEqual(parseAndEval('2 < 3'), true);
|
|
assert.strictEqual(parseAndEval('2 < 2'), false);
|
|
assert.strictEqual(parseAndEval('2 < 1'), false);
|
|
});
|
|
|
|
it('should parse smallerEq <=', function() {
|
|
assert.strictEqual(parseAndEval('2 <= 3'), true);
|
|
assert.strictEqual(parseAndEval('2 <= 2'), true);
|
|
assert.strictEqual(parseAndEval('2 <= 1'), false);
|
|
});
|
|
|
|
it('should parse bitwise and &', function() {
|
|
assert.strictEqual(parseAndEval('2 & 6'), 2);
|
|
assert.strictEqual(parseAndEval('5 & 3'), 1);
|
|
assert.strictEqual(parseAndEval('true & true'), 1);
|
|
assert.strictEqual(parseAndEval('true & false'), 0);
|
|
assert.strictEqual(parseAndEval('false & true'), 0);
|
|
assert.strictEqual(parseAndEval('false & false'), 0);
|
|
});
|
|
|
|
it('should parse bitwise xor ^|', function() {
|
|
assert.strictEqual(parseAndEval('2 ^| 6'), 4);
|
|
assert.strictEqual(parseAndEval('5 ^| 3'), 6);
|
|
assert.strictEqual(parseAndEval('true ^| true'), 0);
|
|
assert.strictEqual(parseAndEval('true ^| false'), 1);
|
|
assert.strictEqual(parseAndEval('false ^| true'), 1);
|
|
assert.strictEqual(parseAndEval('false ^| false'), 0);
|
|
});
|
|
|
|
it('should parse bitwise or |', function() {
|
|
assert.strictEqual(parseAndEval('2 | 6'), 6);
|
|
assert.strictEqual(parseAndEval('5 | 3'), 7);
|
|
assert.strictEqual(parseAndEval('true | true'), 1);
|
|
assert.strictEqual(parseAndEval('true | false'), 1);
|
|
assert.strictEqual(parseAndEval('false | true'), 1);
|
|
assert.strictEqual(parseAndEval('false | false'), 0);
|
|
});
|
|
|
|
it('should parse bitwise left shift <<', function() {
|
|
assert.strictEqual(parseAndEval('23 << 1'), 46);
|
|
});
|
|
|
|
it('should parse bitwise right arithmetic shift >>', function() {
|
|
assert.strictEqual(parseAndEval('32 >> 4'), 2);
|
|
assert.strictEqual(parseAndEval('-12 >> 2'), -3);
|
|
});
|
|
|
|
it('should parse bitwise right logical shift >>>', function() {
|
|
assert.strictEqual(parseAndEval('32 >>> 4'), 2);
|
|
assert.strictEqual(parseAndEval('-12 >>> 2'), 1073741821);
|
|
});
|
|
|
|
it('should parse logical and', function() {
|
|
assert.strictEqual(parseAndEval('2 and 6'), true);
|
|
assert.strictEqual(parseAndEval('2 and 0'), false);
|
|
assert.strictEqual(parseAndEval('true and true'), true);
|
|
assert.strictEqual(parseAndEval('true and false'), false);
|
|
assert.strictEqual(parseAndEval('false and true'), false);
|
|
assert.strictEqual(parseAndEval('false and false'), false);
|
|
});
|
|
|
|
it('should parse logical xor', function() {
|
|
assert.strictEqual(parseAndEval('2 xor 6'), false);
|
|
assert.strictEqual(parseAndEval('2 xor 0'), true);
|
|
assert.strictEqual(parseAndEval('true xor true'), false);
|
|
assert.strictEqual(parseAndEval('true xor false'), true);
|
|
assert.strictEqual(parseAndEval('false xor true'), true);
|
|
assert.strictEqual(parseAndEval('false xor false'), false);
|
|
});
|
|
|
|
it('should parse logical or', function() {
|
|
assert.strictEqual(parseAndEval('2 or 6'), true);
|
|
assert.strictEqual(parseAndEval('2 or 0'), true);
|
|
assert.strictEqual(parseAndEval('true or true'), true);
|
|
assert.strictEqual(parseAndEval('true or false'), true);
|
|
assert.strictEqual(parseAndEval('false or true'), true);
|
|
assert.strictEqual(parseAndEval('false or false'), false);
|
|
});
|
|
|
|
it('should parse logical not', function() {
|
|
assert.strictEqual(parseAndEval('not 2'), false);
|
|
assert.strictEqual(parseAndEval('not not 2'), true);
|
|
assert.strictEqual(parseAndEval('not not not 2'), false);
|
|
assert.strictEqual(parseAndEval('not true'), false);
|
|
|
|
assert.strictEqual(parseAndEval('4*not 2'), 0);
|
|
assert.strictEqual(parseAndEval('4 * not 2'), 0);
|
|
assert.strictEqual(parseAndEval('4-not 2'), 4);
|
|
assert.strictEqual(parseAndEval('4 - not 2'), 4);
|
|
assert.strictEqual(parseAndEval('4+not 2'), 4);
|
|
assert.strictEqual(parseAndEval('4 + not 2'), 4);
|
|
|
|
assert.strictEqual(parseAndEval('10+not not 3'), 11);
|
|
});
|
|
|
|
it('should parse minus -', function() {
|
|
assert.equal(parseAndEval('4 - 2'), 2);
|
|
assert.equal(parseAndEval('8 - 2 - 2'), 4);
|
|
});
|
|
|
|
it('should parse unary minus -', function() {
|
|
assert.equal(parseAndEval('-2'), -2);
|
|
assert.equal(parseAndEval('--2'), 2);
|
|
assert.equal(parseAndEval('---2'), -2);
|
|
|
|
assert.equal(parseAndEval('4*-2'), -8);
|
|
assert.equal(parseAndEval('4 * -2'), -8);
|
|
assert.equal(parseAndEval('4+-2'), 2);
|
|
assert.equal(parseAndEval('4 + -2'), 2);
|
|
assert.equal(parseAndEval('4--2'), 6);
|
|
assert.equal(parseAndEval('4 - -2'), 6);
|
|
|
|
assert.equal(parseAndEval('5-3'), 2);
|
|
assert.equal(parseAndEval('5--3'), 8);
|
|
assert.equal(parseAndEval('5---3'), 2);
|
|
assert.equal(parseAndEval('5+---3'), 2);
|
|
assert.equal(parseAndEval('5----3'), 8);
|
|
assert.equal(parseAndEval('5+--(2+1)'), 8);
|
|
});
|
|
|
|
it('should parse unary +', function() {
|
|
assert.equal(parseAndEval('+2'), 2);
|
|
assert.equal(parseAndEval('++2'), 2);
|
|
assert.equal(parseAndEval('+++2'), 2);
|
|
assert.equal(parseAndEval('+true'), 1);
|
|
|
|
assert.equal(parseAndEval('4*+2'), 8);
|
|
assert.equal(parseAndEval('4 * +2'), 8);
|
|
assert.equal(parseAndEval('4-+2'), 2);
|
|
assert.equal(parseAndEval('4 - +2'), 2);
|
|
assert.equal(parseAndEval('4++2'), 6);
|
|
assert.equal(parseAndEval('4 + +2'), 6);
|
|
|
|
assert.equal(parseAndEval('5+3'), 8);
|
|
assert.equal(parseAndEval('5++3'), 8);
|
|
});
|
|
|
|
it('should parse unary ~', function() {
|
|
assert.equal(parseAndEval('~2'), -3);
|
|
assert.equal(parseAndEval('~~2'), 2);
|
|
assert.equal(parseAndEval('~~~2'), -3);
|
|
assert.equal(parseAndEval('~true'), -2);
|
|
|
|
assert.equal(parseAndEval('4*~2'), -12);
|
|
assert.equal(parseAndEval('4 * ~2'), -12);
|
|
assert.equal(parseAndEval('4-~2'), 7);
|
|
assert.equal(parseAndEval('4 - ~2'), 7);
|
|
assert.equal(parseAndEval('4+~2'), 1);
|
|
assert.equal(parseAndEval('4 + ~2'), 1);
|
|
|
|
assert.equal(parseAndEval('10+~~3'), 13);
|
|
});
|
|
|
|
it('should parse unary plus and minus +, -', function() {
|
|
assert.equal(parseAndEval('-+2'), -2);
|
|
assert.equal(parseAndEval('-+-2'), 2);
|
|
assert.equal(parseAndEval('+-+-2'), 2);
|
|
assert.equal(parseAndEval('+-2'), -2);
|
|
assert.equal(parseAndEval('+-+2'), -2);
|
|
assert.equal(parseAndEval('-+-+2'), 2);
|
|
});
|
|
|
|
it('should parse unary plus and bitwise not +, ~', function() {
|
|
assert.equal(parseAndEval('~+2'), -3);
|
|
assert.equal(parseAndEval('~+~2'), 2);
|
|
assert.equal(parseAndEval('+~+~2'), 2);
|
|
assert.equal(parseAndEval('+~2'), -3);
|
|
assert.equal(parseAndEval('+~+2'), -3);
|
|
assert.equal(parseAndEval('~+~+2'), 2);
|
|
});
|
|
|
|
it('should parse unary minus and bitwise not -, ~', function() {
|
|
assert.equal(parseAndEval('~-2'), 1);
|
|
assert.equal(parseAndEval('~-~2'), -4);
|
|
assert.equal(parseAndEval('-~-~2'), 4);
|
|
assert.equal(parseAndEval('-~2'), 3);
|
|
assert.equal(parseAndEval('-~-2'), -1);
|
|
assert.equal(parseAndEval('~-~-2'), 0);
|
|
});
|
|
|
|
it('should parse unary plus + and logical not', function() {
|
|
assert.equal(parseAndEval('not+2'), false);
|
|
assert.equal(parseAndEval('not + not 2'), true);
|
|
assert.equal(parseAndEval('+not+not 2'), 1);
|
|
assert.equal(parseAndEval('+ not 2'), 0);
|
|
assert.equal(parseAndEval('+ not +2'), 0);
|
|
assert.equal(parseAndEval('not + not +2'), true);
|
|
});
|
|
|
|
it('should parse bitwise not ~ and logical not', function() {
|
|
assert.equal(parseAndEval('~not 2'), -1);
|
|
assert.equal(parseAndEval('~not~2'), -1);
|
|
assert.equal(parseAndEval('not~not~2'), false);
|
|
assert.equal(parseAndEval('not~2'), false);
|
|
assert.equal(parseAndEval('not~not 2'), false);
|
|
assert.equal(parseAndEval('~not~not 2'), -1);
|
|
});
|
|
|
|
it('should parse unary minus and logical not', function() {
|
|
assert.equal(parseAndEval('not-2'), false);
|
|
assert.equal(parseAndEval('not-not 2'), true);
|
|
assert.equal(parseAndEval('-not-not 2'), -1);
|
|
assert.equal(parseAndEval('-not 2'), -0);
|
|
assert.equal(parseAndEval('-not-2'), -0);
|
|
assert.equal(parseAndEval('not-not-2'), true);
|
|
});
|
|
|
|
it('should parse unequal !=', function() {
|
|
assert.strictEqual(parseAndEval('2 != 3'), true);
|
|
assert.strictEqual(parseAndEval('2 != 2'), false);
|
|
assert.deepEqual(parseAndEval('[2,3] != [2,4]'), math.matrix([false, true]));
|
|
});
|
|
|
|
it('should parse conditional expression a ? b : c', function() {
|
|
assert.equal(parseAndEval('2 ? true : false'), true);
|
|
assert.equal(parseAndEval('0 ? true : false'), false);
|
|
assert.equal(parseAndEval('false ? true : false'), false);
|
|
|
|
assert.equal(parseAndEval('2 > 0 ? 1 : 2 < 0 ? -1 : 0'), 1);
|
|
assert.equal(parseAndEval('(2 > 0 ? 1 : 2 < 0) ? -1 : 0'), -1);
|
|
assert.equal(parseAndEval('-2 > 0 ? 1 : -2 < 0 ? -1 : 0'), -1);
|
|
assert.equal(parseAndEval('0 > 0 ? 1 : 0 < 0 ? -1 : 0'), 0);
|
|
});
|
|
|
|
it('should lazily evaluate conditional expression a ? b : c', function() {
|
|
var scope = {};
|
|
math.parse('true ? (a = 2) : (b = 2)').compile().eval(scope);
|
|
assert.deepEqual(scope, {a: 2});
|
|
});
|
|
|
|
it('should throw an error when false part of conditional expression is missing', function() {
|
|
assert.throws(function() {parseAndEval('2 ? true');}, /False part of conditional expression expected/);
|
|
});
|
|
|
|
it('should parse : (range)', function() {
|
|
assert.ok(parseAndEval('2:5') instanceof Matrix);
|
|
assert.deepEqual(parseAndEval('2:5'), math.matrix([2,3,4,5]));
|
|
assert.deepEqual(parseAndEval('10:-2:0'), math.matrix([10,8,6,4,2,0]));
|
|
assert.deepEqual(parseAndEval('2:4.0'), math.matrix([2,3,4]));
|
|
assert.deepEqual(parseAndEval('2:4.5'), math.matrix([2,3,4]));
|
|
assert.deepEqual(parseAndEval('2:4.1'), math.matrix([2,3,4]));
|
|
assert.deepEqual(parseAndEval('2:3.9'), math.matrix([2,3]));
|
|
assert.deepEqual(parseAndEval('2:3.5'), math.matrix([2,3]));
|
|
assert.deepEqual(parseAndEval('3:-1:0.5'), math.matrix([3,2,1]));
|
|
assert.deepEqual(parseAndEval('3:-1:0.5'), math.matrix([3,2,1]));
|
|
assert.deepEqual(parseAndEval('3:-1:0.1'), math.matrix([3,2,1]));
|
|
assert.deepEqual(parseAndEval('3:-1:-0.1'), math.matrix([3,2,1,0]));
|
|
});
|
|
|
|
it('should parse to', function() {
|
|
approx.deepEqual(parseAndEval('2.54 cm to inch'), math.unit(1, 'inch').to('inch'));
|
|
approx.deepEqual(parseAndEval('2.54 cm + 2 inch to foot'), math.unit(0.25, 'foot').to('foot'));
|
|
});
|
|
|
|
it('should parse in', function() {
|
|
approx.deepEqual(parseAndEval('2.54 cm in inch'), math.unit(1, 'inch').to('inch'));
|
|
});
|
|
|
|
it('should parse factorial !', function() {
|
|
assert.deepEqual(parseAndEval('5!'), 120);
|
|
assert.deepEqual(parseAndEval('[1,2,3,4]!'), math.matrix([1,2,6,24]));
|
|
assert.deepEqual(parseAndEval('4!+2'), 26);
|
|
assert.deepEqual(parseAndEval('4!-2'), 22);
|
|
assert.deepEqual(parseAndEval('4!*2'), 48);
|
|
assert.deepEqual(parseAndEval('3!!'), 720);
|
|
assert.deepEqual(parseAndEval('[1,2;3,1]!\'!'), math.matrix([[1, 720], [2, 1]]));
|
|
assert.deepEqual(parseAndEval('[4,5]![2,2]'), 24*2 + 120*2); // implicit multiplication
|
|
});
|
|
|
|
it('should parse transpose \'', function() {
|
|
assert.deepEqual(parseAndEval('23\''), 23);
|
|
assert.deepEqual(parseAndEval('[1,2,3;4,5,6]\''), math.matrix([[1,4],[2,5],[3,6]]));
|
|
assert.ok(parseAndEval('[1,2,3;4,5,6]\'') instanceof Matrix);
|
|
assert.deepEqual(parseAndEval('[1:5]'), math.matrix([[1,2,3,4,5]]));
|
|
assert.deepEqual(parseAndEval('[1:5]\''), math.matrix([[1],[2],[3],[4],[5]]));
|
|
assert.deepEqual(parseAndEval('size([1:5])'), math.matrix([1, 5]));
|
|
assert.deepEqual(parseAndEval('[1,2;3,4]\''), math.matrix([[1,3],[2,4]]));
|
|
});
|
|
|
|
describe('operator precedence', function() {
|
|
it('should respect precedence of plus and minus', function () {
|
|
assert.equal(parseAndEval('4-2+3'), 5);
|
|
assert.equal(parseAndEval('4-(2+3)'), -1);
|
|
assert.equal(parseAndEval('4-2-3'), -1);
|
|
assert.equal(parseAndEval('4-(2-3)'), 5);
|
|
});
|
|
|
|
it('should respect precedence of plus/minus and multiply/divide', function () {
|
|
assert.equal(parseAndEval('2+3*4'), 14);
|
|
assert.equal(parseAndEval('2*3+4'), 10);
|
|
});
|
|
|
|
it('should respect precedence of plus/minus and pow', function () {
|
|
assert.equal(parseAndEval('2+3^2'), 11);
|
|
assert.equal(parseAndEval('3^2+2'), 11);
|
|
assert.equal(parseAndEval('8-2^2'), 4);
|
|
assert.equal(parseAndEval('4^2-2'), 14);
|
|
});
|
|
|
|
it('should respect precedence of multiply/divide and pow', function () {
|
|
assert.equal(parseAndEval('2*3^2'), 18);
|
|
assert.equal(parseAndEval('3^2*2'), 18);
|
|
assert.equal(parseAndEval('8/2^2'), 2);
|
|
assert.equal(parseAndEval('4^2/2'), 8);
|
|
});
|
|
|
|
it('should respect precedence of pow', function () {
|
|
assert.equal(parseAndEval('2^3'), 8);
|
|
assert.equal(parseAndEval('2^3^4'), Math.pow(2, Math.pow(3, 4)));
|
|
assert.equal(parseAndEval('1.5^1.5^1.5'), parseAndEval('1.5^(1.5^1.5)'));
|
|
assert.equal(parseAndEval('1.5^1.5^1.5^1.5'), parseAndEval('1.5^(1.5^(1.5^1.5))'));
|
|
});
|
|
|
|
it('should respect precedence of unary operations and pow', function () {
|
|
assert.equal(parseAndEval('-3^2'), -9);
|
|
assert.equal(parseAndEval('(-3)^2'), 9);
|
|
assert.equal(parseAndEval('2^-2'), 0.25);
|
|
assert.equal(parseAndEval('2^(-2)'), 0.25);
|
|
|
|
assert.equal(parseAndEval('+3^2'), 9);
|
|
assert.equal(parseAndEval('(+3)^2'), 9);
|
|
assert.equal(parseAndEval('2^(+2)'), 4);
|
|
|
|
assert.equal(parseAndEval('~3^2'), -10);
|
|
assert.equal(parseAndEval('(~3)^2'), 16);
|
|
assert.equal(parseAndEval('2^~2'), 0.125);
|
|
assert.equal(parseAndEval('2^(~2)'), 0.125);
|
|
|
|
assert.equal(parseAndEval('not 3^2'), false);
|
|
assert.equal(parseAndEval('(not 3)^2'), 0);
|
|
assert.equal(parseAndEval('2^not 2'), 1);
|
|
assert.equal(parseAndEval('2^(not 2)'), 1);
|
|
});
|
|
|
|
it('should respect precedence of factorial and pow', function () {
|
|
assert.equal(parseAndEval('2^3!'), 64);
|
|
assert.equal(parseAndEval('2^(3!)'), 64);
|
|
assert.equal(parseAndEval('3!^2'), 36);
|
|
});
|
|
|
|
it('should respect precedence of factorial and unary operations', function () {
|
|
assert.equal(parseAndEval('-4!'), -24);
|
|
assert.equal(parseAndEval('-(4!)'), -24);
|
|
|
|
assert.equal(parseAndEval('3!+2'), 8);
|
|
assert.equal(parseAndEval('(3!)+2'), 8);
|
|
assert.equal(parseAndEval('+4!'), 24);
|
|
|
|
assert.equal(parseAndEval('~4!+1'), -24);
|
|
assert.equal(parseAndEval('~(4!)+1'), -24);
|
|
|
|
assert.equal(parseAndEval('not 4!'), false);
|
|
assert.equal(parseAndEval('not not 4!'), true);
|
|
assert.equal(parseAndEval('not(4!)'), false);
|
|
assert.equal(parseAndEval('(not 4!)'), false);
|
|
assert.equal(parseAndEval('(not 4)!'), 1);
|
|
});
|
|
|
|
it('should respect precedence of transpose', function () {
|
|
var node = math.parse('a + b\'');
|
|
assert(node instanceof OperatorNode);
|
|
assert.equal(node.op, '+');
|
|
assert.equal(node.args[0].toString(), 'a');
|
|
assert.equal(node.args[1].toString(), 'b\'');
|
|
});
|
|
|
|
it('should respect precedence of transpose (2)', function () {
|
|
var node = math.parse('a ^ b\'');
|
|
assert(node instanceof OperatorNode);
|
|
assert.equal(node.op, '^');
|
|
assert.equal(node.args[0].toString(), 'a');
|
|
assert.equal(node.args[1].toString(), 'b\'');
|
|
});
|
|
|
|
it('should respect precedence of conditional operator and other operators', function () {
|
|
assert.equal(parseAndEval('2 > 3 ? true : false'), false);
|
|
assert.equal(parseAndEval('2 == 3 ? true : false'), false);
|
|
assert.equal(parseAndEval('3 ? 2 + 4 : 2 - 1'), 6);
|
|
assert.deepEqual(parseAndEval('3 ? true : false; 22'), new ResultSet([22]));
|
|
assert.deepEqual(parseAndEval('3 ? 5cm to m : 5cm in mm'), new Unit(5, 'cm').to('m'));
|
|
assert.deepEqual(parseAndEval('2 == 4-2 ? [1,2] : false'), math.matrix([1,2]));
|
|
assert.deepEqual(parseAndEval('false ? 1:2:6'), math.matrix([2,3,4,5,6]));
|
|
});
|
|
|
|
it('should respect precedence between left/right shift and relational operators', function () {
|
|
assert.strictEqual(parseAndEval('32 >> 4 == 2'), true);
|
|
assert.strictEqual(parseAndEval('2 == 32 >> 4'), true);
|
|
assert.strictEqual(parseAndEval('2 << 2 == 8'), true);
|
|
assert.strictEqual(parseAndEval('8 == 2 << 2'), true);
|
|
});
|
|
|
|
it('should respect precedence between relational operators and bitwise and', function () {
|
|
assert.strictEqual(parseAndEval('2 == 3 & 1'), 0);
|
|
assert.strictEqual(parseAndEval('3 & 1 == 2'), 0);
|
|
assert.strictEqual(parseAndEval('2 == (3 & 1)'), false);
|
|
});
|
|
|
|
it('should respect precedence between bitwise or | and logical and', function () {
|
|
assert.strictEqual(parseAndEval('2 | 2 and 4'), true);
|
|
assert.strictEqual(parseAndEval('4 and 2 | 2'), true);
|
|
});
|
|
|
|
it('should respect precedence between bitwise xor ^| and bitwise or |', function () {
|
|
assert.strictEqual(parseAndEval('4 ^| 6 | 2'), 2);
|
|
assert.strictEqual(parseAndEval('2 | 4 ^| 6'), 2);
|
|
assert.strictEqual(parseAndEval('(2 | 4) ^| 6'), 0);
|
|
});
|
|
|
|
it('should respect precedence between bitwise and & and bitwise or |', function () {
|
|
assert.strictEqual(parseAndEval('4 & 3 | 12'), 12);
|
|
assert.strictEqual(parseAndEval('12 | 4 & 3'), 12);
|
|
assert.strictEqual(parseAndEval('(12 | 4) & 3'), 0);
|
|
});
|
|
|
|
it('should respect precedence between logical and and or', function () {
|
|
assert.strictEqual(parseAndEval('false and true or true'), true);
|
|
assert.strictEqual(parseAndEval('false and (true or true)'), false);
|
|
assert.strictEqual(parseAndEval('true or true and false'), true);
|
|
assert.strictEqual(parseAndEval('(true or true) and false'), false);
|
|
});
|
|
|
|
it('should respect precedence of conditional operator and logical or', function () {
|
|
var node = math.parse('1 or 0 ? 2 or 3 : 0 or 0');
|
|
assert(node instanceof ConditionalNode);
|
|
assert.equal(node.condition.toString(), '1 or 0');
|
|
assert.equal(node.trueExpr.toString(), '2 or 3');
|
|
assert.equal(node.falseExpr.toString(), '0 or 0');
|
|
assert.strictEqual(node.compile().eval(), true);
|
|
});
|
|
|
|
it('should respect precedence of conditional operator and relational operators', function () {
|
|
var node = math.parse('a == b ? a > b : a < b');
|
|
assert(node instanceof ConditionalNode);
|
|
assert.equal(node.condition.toString(), 'a == b');
|
|
assert.equal(node.trueExpr.toString(), 'a > b');
|
|
assert.equal(node.falseExpr.toString(), 'a < b');
|
|
});
|
|
|
|
it('should respect precedence of conditional operator and range operator', function () {
|
|
var node = math.parse('a ? b : c : d');
|
|
assert(node instanceof ConditionalNode);
|
|
assert.equal(node.condition.toString(), 'a');
|
|
assert.equal(node.trueExpr.toString(), 'b');
|
|
assert.equal(node.falseExpr.toString(), 'c:d');
|
|
});
|
|
|
|
it('should respect precedence of conditional operator and range operator (2)', function () {
|
|
var node = math.parse('a ? (b : c) : (d : e)');
|
|
assert(node instanceof ConditionalNode);
|
|
assert.equal(node.condition.toString(), 'a');
|
|
assert.equal(node.trueExpr.toString(), '(b:c)');
|
|
assert.equal(node.falseExpr.toString(), '(d:e)');
|
|
});
|
|
|
|
it('should respect precedence of conditional operator and range operator (2)', function () {
|
|
var node = math.parse('a ? (b ? c : d) : (e ? f : g)');
|
|
assert(node instanceof ConditionalNode);
|
|
assert.equal(node.condition.toString(), 'a');
|
|
assert.equal(node.trueExpr.toString(), '(b ? c : d)');
|
|
assert.equal(node.falseExpr.toString(), '(e ? f : g)');
|
|
});
|
|
|
|
it('should respect precedence of range operator and relational operators', function () {
|
|
var node = math.parse('a:b == c:d');
|
|
assert(node instanceof OperatorNode);
|
|
assert.equal(node.args[0].toString(), 'a:b');
|
|
assert.equal(node.args[1].toString(), 'c:d');
|
|
});
|
|
|
|
it('should respect precedence of range operator and operator plus and minus', function () {
|
|
var node = math.parse('a + b : c - d');
|
|
assert(node instanceof RangeNode);
|
|
assert.equal(node.start.toString(), 'a + b');
|
|
assert.equal(node.end.toString(), 'c - d');
|
|
});
|
|
|
|
it('should respect precedence of "to" operator and relational operators', function () {
|
|
var node = math.parse('a == b to c');
|
|
assert(node instanceof OperatorNode);
|
|
assert.equal(node.args[0].toString(), 'a');
|
|
assert.equal(node.args[1].toString(), 'b to c');
|
|
});
|
|
|
|
it('should respect precedence of "to" operator and relational operators (2)', function () {
|
|
var node = math.parse('a to b == c');
|
|
assert(node instanceof OperatorNode);
|
|
assert.equal(node.args[0].toString(), 'a to b');
|
|
assert.equal(node.args[1].toString(), 'c');
|
|
});
|
|
|
|
// TODO: extensively test operator precedence
|
|
|
|
});
|
|
});
|
|
|
|
describe('functions', function () {
|
|
it('should evaluate function "mod"', function () {
|
|
approx.equal(parseAndEval('mod(8, 3)'), 2);
|
|
|
|
});
|
|
|
|
it('should evaluate function "to" ', function () {
|
|
approx.deepEqual(parseAndEval('to(5.08 cm * 1000, inch)'),
|
|
math.unit(2000, 'inch').to('inch'));
|
|
});
|
|
|
|
it('should evaluate function "sort" with a custom sort function', function () {
|
|
var scope = {};
|
|
parseAndEval('sortByLength(a, b) = size(a)[1] - size(b)[1]', scope);
|
|
assert.deepEqual(parseAndEval('sort(["Langdon", "Tom", "Sara"], sortByLength)', scope),
|
|
math.matrix(["Tom", "Sara", "Langdon"]));
|
|
});
|
|
|
|
it('should evaluate function "filter" with a custom test function', function () {
|
|
var scope = {};
|
|
parseAndEval('isPositive(x) = x > 0', scope);
|
|
assert.deepEqual(parseAndEval('filter([6, -2, -1, 4, 3], isPositive)', scope),
|
|
math.matrix([6, 4, 3]));
|
|
});
|
|
|
|
it('should evaluate function "filter" with a custom test equation', function () {
|
|
assert.deepEqual(parseAndEval('filter([6, -2, -1, 4, 3], x > 0)'),
|
|
math.matrix([6, 4, 3]));
|
|
});
|
|
|
|
});
|
|
|
|
describe('bignumber', function () {
|
|
var bigmath = math.create({
|
|
number: 'bignumber'
|
|
});
|
|
var BigNumber = bigmath.type.BigNumber;
|
|
|
|
it('should parse numbers as bignumber', function() {
|
|
assert.deepEqual(bigmath.bignumber('2.3'), new BigNumber('2.3'));
|
|
assert.deepEqual(bigmath.eval('2.3'), new BigNumber('2.3'));
|
|
assert.deepEqual(bigmath.eval('2.3e+500'), new BigNumber('2.3e+500'));
|
|
});
|
|
|
|
it('should evaluate functions supporting bignumbers', function() {
|
|
assert.deepEqual(bigmath.eval('0.1 + 0.2'), new BigNumber('0.3'));
|
|
});
|
|
|
|
it('should evaluate functions supporting bignumbers', function() {
|
|
assert.deepEqual(bigmath.eval('add(0.1, 0.2)'), new BigNumber('0.3'));
|
|
});
|
|
|
|
it('should work with mixed numbers and bignumbers', function() {
|
|
approx.equal(bigmath.eval('pi + 1'), 4.141592653589793);
|
|
});
|
|
|
|
it('should evaluate functions not supporting bignumbers', function() {
|
|
approx.equal(bigmath.eval('sin(0.1)'), 0.09983341664682815);
|
|
});
|
|
|
|
it('should create a range from bignumbers', function() {
|
|
assert.deepEqual(bigmath.eval('4:6'),
|
|
bigmath.matrix([new BigNumber(4), new BigNumber(5), new BigNumber(6)]));
|
|
assert.deepEqual(bigmath.eval('0:2:4'),
|
|
bigmath.matrix([new BigNumber(0), new BigNumber(2), new BigNumber(4)]));
|
|
});
|
|
|
|
it('should create a matrix with bignumbers', function() {
|
|
assert.deepEqual(bigmath.eval('[0.1, 0.2]'),
|
|
bigmath.matrix([new BigNumber(0.1), new BigNumber(0.2)]));
|
|
});
|
|
|
|
it('should get an element from a matrix with bignumbers', function() {
|
|
var scope = {};
|
|
assert.deepEqual(bigmath.eval('a=[0.1, 0.2]', scope),
|
|
bigmath.matrix([new BigNumber(0.1), new BigNumber(0.2)]));
|
|
|
|
assert.deepEqual(bigmath.eval('a[1]', scope), new BigNumber(0.1));
|
|
assert.deepEqual(bigmath.eval('a[:]', scope),
|
|
bigmath.matrix([new BigNumber(0.1), new BigNumber(0.2)]));
|
|
assert.deepEqual(bigmath.eval('a[1:2]', scope),
|
|
bigmath.matrix([new BigNumber(0.1), new BigNumber(0.2)]));
|
|
});
|
|
|
|
it('should replace elements in a matrix with bignumbers', function() {
|
|
var scope = {};
|
|
assert.deepEqual(bigmath.eval('a=[0.1, 0.2]', scope),
|
|
bigmath.matrix([new BigNumber(0.1), new BigNumber(0.2)]));
|
|
|
|
assert.deepEqual(bigmath.eval('a[1] = 0.3', scope),
|
|
bigmath.matrix([new BigNumber(0.3), new BigNumber(0.2)]));
|
|
assert.deepEqual(bigmath.eval('a[:] = [0.5, 0.6]', scope),
|
|
bigmath.matrix([new BigNumber(0.5), new BigNumber(0.6)]));
|
|
assert.deepEqual(bigmath.eval('a[1:2] = [0.7, 0.8]', scope),
|
|
bigmath.matrix([new BigNumber(0.7), new BigNumber(0.8)]));
|
|
});
|
|
|
|
it('should work with complex numbers (downgrades bignumbers to number)', function() {
|
|
assert.deepEqual(bigmath.eval('3i'), new Complex(0, 3));
|
|
assert.deepEqual(bigmath.eval('2 + 3i'), new Complex(2, 3));
|
|
assert.deepEqual(bigmath.eval('2 * i'), new Complex(0, 2));
|
|
});
|
|
|
|
// TODO: cleanup once decided to not downgrade BigNumber to number
|
|
it.skip('should work with units (downgrades bignumbers to number)', function() {
|
|
assert.deepEqual(bigmath.eval('2 cm'), new Unit(2, 'cm'));
|
|
});
|
|
});
|
|
|
|
describe('scope', function () {
|
|
|
|
it('should use a given scope for assignments', function() {
|
|
var scope = {
|
|
a: 3,
|
|
b: 4
|
|
};
|
|
assert.deepEqual(parse('a*b').compile().eval(scope), 12);
|
|
assert.deepEqual(parse('c=5').compile().eval(scope), 5);
|
|
assert.deepEqual(parse('f(x) = x^a').compile().eval(scope).syntax, 'f(x)');
|
|
|
|
|
|
assert.deepEqual(Object.keys(scope).length, 4);
|
|
assert.deepEqual(scope.a, 3);
|
|
assert.deepEqual(scope.b, 4);
|
|
assert.deepEqual(scope.c, 5);
|
|
assert.deepEqual(typeof scope.f, 'function');
|
|
|
|
assert.equal(scope.f(3), 27);
|
|
scope.a = 2;
|
|
assert.equal(scope.f(3), 9);
|
|
scope.hello = function (name) {
|
|
return 'hello, ' + name + '!';
|
|
};
|
|
assert.deepEqual(parse('hello("jos")').compile().eval(scope), 'hello, jos!');
|
|
});
|
|
|
|
it('should parse undefined symbols, defining symbols, and removing symbols', function() {
|
|
var scope = {};
|
|
var n = parse('q');
|
|
assert.throws(function () { n.compile().eval(scope); });
|
|
parse('q=33').compile().eval(scope);
|
|
assert.equal(n.compile().eval(scope), 33);
|
|
delete scope.q;
|
|
assert.throws(function () { n.compile().eval(scope); });
|
|
|
|
n = parse('qq[1,1]=33');
|
|
assert.throws(function () { n.compile().eval(scope); });
|
|
parse('qq=[1,2;3,4]').compile().eval(scope);
|
|
assert.deepEqual(n.compile().eval(scope), math.matrix([[33,2],[3,4]]));
|
|
parse('qq=[4]').compile().eval(scope);
|
|
assert.deepEqual(n.compile().eval(scope), math.matrix([[33]]));
|
|
delete scope.qq;
|
|
assert.throws(function () { n.compile().eval(scope); });
|
|
});
|
|
|
|
it('should evaluate a symbol with value null or undefined', function () {
|
|
assert.equal(parse('a').compile().eval({a: null}), null);
|
|
assert.equal(parse('a').compile().eval({a: undefined}), undefined);
|
|
});
|
|
|
|
});
|
|
|
|
describe('errors', function () {
|
|
|
|
it('should return IndexErrors with one based indices', function () {
|
|
// functions throw a zero-based error
|
|
assert.throws(function () {math.subset([1,2,3], math.index(4));}, /Index out of range \(4 > 2\)/);
|
|
assert.throws(function () {math.subset([1,2,3], math.index(-2));}, /Index out of range \(-2 < 0\)/);
|
|
|
|
// evaluation via parser throws one-based error
|
|
assert.throws(function () {math.eval('A[4]', {A:[1,2,3]});}, /Index out of range \(4 > 3\)/);
|
|
assert.throws(function () {math.eval('A[-2]', {A: [1,2,3]});}, /IndexError: Index out of range \(-2 < 1\)/);
|
|
});
|
|
|
|
it('should return DimensionErrors with one based indices (subset)', function () {
|
|
// TODO: it would be more clear when all errors where DimensionErrors
|
|
|
|
// functions throw a zero-based error
|
|
assert.throws(function () {math.subset([1,2,3], math.index(1,1));}, /DimensionError: Dimension mismatch \(2 != 1\)/);
|
|
|
|
// evaluation via parser throws one-based error
|
|
assert.throws(function () {math.eval('A[1,1]', {A: [1,2,3]});}, /DimensionError: Dimension mismatch \(2 != 1\)/);
|
|
});
|
|
|
|
it('should return DimensionErrors with one based indices (concat)', function () {
|
|
// TODO: it would be more clear when all errors where DimensionErrors
|
|
|
|
// functions throw a zero-based error
|
|
assert.throws(function () {math.concat([1,2], [[3,4]]);}, /DimensionError: Dimension mismatch \(1 != 2\)/);
|
|
assert.throws(function () {math.concat([[1,2]], [[3,4]], 2);}, /IndexError: Index out of range \(2 > 1\)/);
|
|
assert.throws(function () {math.concat([[1,2]], [[3,4]], -1);}, /IndexError: Index out of range \(-1 < 0\)/);
|
|
|
|
// evaluation via parser throws one-based error
|
|
assert.throws(function () {math.eval('concat([1,2], [[3,4]])');}, /DimensionError: Dimension mismatch \(1 != 2\)/);
|
|
assert.throws(function () {math.eval('concat([[1,2]], [[3,4]], 3)');}, /IndexError: Index out of range \(3 > 2\)/);
|
|
assert.throws(function () {math.eval('concat([[1,2]], [[3,4]], 0)');}, /IndexError: Index out of range \(0 < 1\)/);
|
|
});
|
|
|
|
it('should return DimensionErrors with one based indices (max)', function () {
|
|
// TODO: it would be more clear when all errors where DimensionErrors
|
|
|
|
// functions throw a zero-based error
|
|
// TODO
|
|
|
|
// evaluation via parser throws one-based error
|
|
assert.deepEqual(math.eval('max([[1,2], [3,4]])'), 4);
|
|
assert.deepEqual(math.eval('max([[1,2], [3,4]], 1)'), math.matrix([3, 4]));
|
|
assert.deepEqual(math.eval('max([[1,2], [3,4]], 2)'), math.matrix([2, 4]));
|
|
assert.throws(function () {math.eval('max([[1,2], [3,4]], 3)');}, /IndexError: Index out of range \(3 > 2\)/);
|
|
assert.throws(function () {math.eval('max([[1,2], [3,4]], 0)');}, /IndexError: Index out of range \(0 < 1\)/);
|
|
});
|
|
|
|
it('should return DimensionErrors with one based indices (min)', function () {
|
|
// TODO: it would be more clear when all errors where DimensionErrors
|
|
|
|
// functions throw a zero-based error
|
|
// TODO
|
|
|
|
// evaluation via parser throws one-based error
|
|
assert.deepEqual(math.eval('min([[1,2], [3,4]])'), 1);
|
|
assert.deepEqual(math.eval('min([[1,2], [3,4]], 1)'), math.matrix([1, 2]));
|
|
assert.deepEqual(math.eval('min([[1,2], [3,4]], 2)'), math.matrix([1, 3]));
|
|
assert.throws(function () {math.eval('min([[1,2], [3,4]], 3)');}, /IndexError: Index out of range \(3 > 2\)/);
|
|
assert.throws(function () {math.eval('min([[1,2], [3,4]], 0)');}, /IndexError: Index out of range \(0 < 1\)/);
|
|
});
|
|
|
|
it('should return DimensionErrors with one based indices (mean)', function () {
|
|
// TODO: it would be more clear when all errors where DimensionErrors
|
|
|
|
// functions throw a zero-based error
|
|
// TODO
|
|
|
|
// evaluation via parser throws one-based error
|
|
assert.deepEqual(math.eval('mean([[1,2], [3,4]])'), 2.5);
|
|
assert.deepEqual(math.eval('mean([[1,2], [3,4]], 1)'), math.matrix([2, 3]));
|
|
assert.deepEqual(math.eval('mean([[1,2], [3,4]], 2)'), math.matrix([1.5, 3.5]));
|
|
assert.throws(function () {math.eval('mean([[1,2], [3,4]], 3)');}, /IndexError: Index out of range \(3 > 2\)/);
|
|
assert.throws(function () {math.eval('mean([[1,2], [3,4]], 0)');}, /IndexError: Index out of range \(0 < 1\)/);
|
|
});
|
|
|
|
});
|
|
|
|
describe('node tree', function () {
|
|
|
|
// TODO: test parsing into a node tree
|
|
|
|
it('should correctly stringify a node tree', function() {
|
|
assert.equal(parse('0').toString(), '0');
|
|
assert.equal(parse('"hello"').toString(), '"hello"');
|
|
assert.equal(parse('[1, 2 + 3i, 4]').toString(), '[1, 2 + 3 * i, 4]');
|
|
assert.equal(parse('1/2a').toString(), '1 / 2 * a');
|
|
});
|
|
|
|
describe('custom nodes', function () {
|
|
// define a custom node
|
|
function CustomNode (args) {
|
|
this.args = args;
|
|
}
|
|
CustomNode.prototype = new math.expression.node.Node();
|
|
CustomNode.prototype.toString = function () {
|
|
return 'CustomNode';
|
|
};
|
|
CustomNode.prototype._compile = function (defs) {
|
|
var strArgs = [];
|
|
this.args.forEach(function (arg) {
|
|
strArgs.push(arg.toString());
|
|
});
|
|
return '"CustomNode(' + strArgs.join(', ') + ')"';
|
|
};
|
|
CustomNode.prototype.forEach = function (callback) {
|
|
// we don't have childs
|
|
};
|
|
|
|
var options = {
|
|
nodes: {
|
|
custom: CustomNode
|
|
}
|
|
};
|
|
|
|
it('should parse custom nodes', function() {
|
|
var node = parse('custom(x, (2+x), sin(x))', options);
|
|
assert.equal(node.compile().eval(), 'CustomNode(x, (2 + x), sin(x))');
|
|
});
|
|
|
|
it('should parse custom nodes without parameters', function() {
|
|
var node = parse('custom()', options);
|
|
assert.equal(node.compile().eval(), 'CustomNode()');
|
|
assert.equal(node.filter(function (node) {return node instanceof CustomNode;}).length, 1);
|
|
|
|
var node2 = parse('custom', options);
|
|
assert.equal(node2.compile().eval(), 'CustomNode()');
|
|
assert.equal(node2.filter(function (node) {return node instanceof CustomNode;}).length, 1);
|
|
});
|
|
|
|
it('should throw an error on syntax errors in using custom nodes', function() {
|
|
assert.throws(function () {parse('custom(x', options);}, /Parenthesis \) expected/);
|
|
assert.throws(function () {parse('custom(x, ', options);}, /Unexpected end of expression/);
|
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});
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});
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});
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});
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