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https://github.com/josdejong/mathjs.git
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1995 lines
84 KiB
JavaScript
1995 lines
84 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('../../src/index')
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var ArgumentsError = require('../../src/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 ConstantNode = math.expression.node.ConstantNode
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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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function parseAndStringifyWithParens (expr) {
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return parse(expr).toString({parenthesis: 'all'})
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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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assert.strictEqual(parse('\n').compile().eval(), undefined)
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assert.strictEqual(parse('\n\n').compile().eval(), undefined)
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assert.strictEqual(parse('\n \n').compile().eval(), undefined)
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assert.strictEqual(parse('#foo\n').compile().eval(), undefined)
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assert.strictEqual(parse('#foo\n#bar\n').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 and other special characters', function () {
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// http://unicode-table.com/en
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var scope = {}
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math.eval('$ab$c = 2', scope) // dollar sign
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assert.strictEqual(scope['$ab$c'], 2)
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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('\u2126 = 4', scope) // Letter-like character Ohm
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assert.strictEqual(scope['\u2126'], 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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var scope = {a: [[1, 2], [3, 4]]}
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assert.deepEqual(parse('a[\n1\n,\n1\n]=\n100').compile().eval(scope), 100)
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assert.deepEqual(scope, {a: [[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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it('should fill in the property comment of a Node', function () {
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assert.equal(parse('2 + 3').comment, '')
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assert.equal(parse('2 + 3 # hello').comment, '# hello')
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assert.equal(parse(' # hi').comment, '# hi')
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var blockNode = parse('2 # foo\n3 # bar')
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assert.equal(blockNode.blocks.length, 2)
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assert.equal(blockNode.blocks[0].node.comment, '# foo')
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assert.equal(blockNode.blocks[1].node.comment, '# bar')
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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('3.'), 3)
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assert.equal(parseAndEval('3. '), 3)
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assert.equal(parseAndEval('3.\t'), 3)
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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('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('.') }, /Value expected/)
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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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assert.throws(function () { parseAndEval('3e0.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('3e.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('-3e0.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('-3e.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('3e-0.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('3e-.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('-3e-0.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('-3e-.5') }, /Digit expected, got "."/)
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assert.throws(function () { parseAndEval('2e+a') }, /Digit expected, got "a"/)
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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 parse a with escaped characters', function () {
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assert.deepEqual(parseAndEval('"line end\\nnext"'), 'line end\nnext')
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assert.deepEqual(parseAndEval('"line end\\n"'), 'line end\n')
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assert.deepEqual(parseAndEval('"tab\\tnext"'), 'tab\tnext')
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assert.deepEqual(parseAndEval('"tab\\t"'), 'tab\t')
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assert.deepEqual(parseAndEval('"escaped backslash\\\\next"'), 'escaped backslash\\next')
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assert.deepEqual(parseAndEval('"escaped backslash\\\\"'), 'escaped backslash\\')
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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), 'H')
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assert.deepEqual(scope.c, 'Hello')
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assert.deepEqual(parseAndEval('c', scope), 'Hello')
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assert.deepEqual(parseAndEval('c[6:11] = " world"', scope), ' world')
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assert.deepEqual(scope.c, 'Hello world')
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assert.deepEqual(parseAndEval('c[end] = "D"', scope), 'D')
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assert.deepEqual(scope.c, 'Hello worlD')
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})
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it('should set a string subset on an object', function () {
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var scope = { a: {} }
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assert.deepEqual(parseAndEval('a.c="hello"', scope), 'hello')
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assert.deepEqual(parseAndEval('a.c[1] = "H"', scope), 'H')
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assert.deepEqual(scope.a, {c: 'Hello'})
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assert.deepEqual(parseAndEval('a.c', scope), 'Hello')
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assert.deepEqual(parseAndEval('a.c[6:11] = " world"', scope), ' world')
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assert.deepEqual(scope.a, {c: 'Hello world'})
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assert.deepEqual(parseAndEval('a.c', scope), 'Hello world')
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assert.deepEqual(scope.a, {c: 'Hello world'})
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assert.deepEqual(parseAndEval('a.c[end] = "D"', scope), 'D')
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assert.deepEqual(scope.a, {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 parse physical constants', function () {
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var expected = new Unit(299792458, 'm/s')
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expected.fixPrefix = true
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assert.deepEqual(parseAndEval('speedOfLight'), expected)
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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 create units and aliases', function () {
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var myMath = math.create()
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myMath.eval('createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})')
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assert.equal(myMath.eval('5 knot').toString(), '5 knot')
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assert.equal(myMath.eval('5 knots').toString(), '5 knots')
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assert.equal(myMath.eval('5 kt').toString(), '5 kt')
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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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approx.deepEqual(parseAndEval('(2+3) in'), new Unit(5, 'in'))
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approx.deepEqual(parseAndEval('a in', {a: 5}), new Unit(5, 'in'))
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approx.deepEqual(parseAndEval('0.5in + 1.5in to cm'), new Unit(5.08, 'cm').to('cm'))
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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))
|
|
assert.deepEqual(parseAndEval('2+3i'), new Complex(2, 3))
|
|
assert.deepEqual(parseAndEval('2+3*i'), new Complex(2, 3))
|
|
assert.deepEqual(parseAndEval('1/2i'), new Complex(0, 0.5))
|
|
})
|
|
})
|
|
|
|
describe('matrix', function () {
|
|
it('should parse a matrix', function () {
|
|
assert.ok(parseAndEval('[1,2;3,4]') instanceof Matrix)
|
|
|
|
var m = parseAndEval('[1,2,3;4,5,6]')
|
|
assert.deepEqual(m.size(), [2, 3])
|
|
assert.deepEqual(m, math.matrix([[1, 2, 3], [4, 5, 6]]))
|
|
|
|
var b = parseAndEval('[5, 6; 1, 1]')
|
|
assert.deepEqual(b.size(), [2, 2])
|
|
assert.deepEqual(b, math.matrix([[5, 6], [1, 1]]))
|
|
|
|
// from 1 to n dimensions
|
|
assert.deepEqual(parseAndEval('[ ]'), math.matrix([]))
|
|
assert.deepEqual(parseAndEval('[1,2,3]'), math.matrix([1, 2, 3]))
|
|
assert.deepEqual(parseAndEval('[1;2;3]'), math.matrix([[1], [2], [3]]))
|
|
assert.deepEqual(parseAndEval('[[1,2],[3,4]]'), math.matrix([[1, 2], [3, 4]]))
|
|
assert.deepEqual(parseAndEval('[[[1],[2]],[[3],[4]]]'), math.matrix([[[1], [2]], [[3], [4]]]))
|
|
})
|
|
|
|
it('should parse an empty matrix', function () {
|
|
assert.deepEqual(parseAndEval('[]'), math.matrix([]))
|
|
})
|
|
|
|
it('should get a matrix subset', function () {
|
|
var scope = {
|
|
a: math.matrix([
|
|
[1, 2, 3],
|
|
[4, 5, 6],
|
|
[7, 8, 9]
|
|
])
|
|
}
|
|
assert.deepEqual(parseAndEval('a[2, :]', scope), math.matrix([[4, 5, 6]]))
|
|
assert.deepEqual(parseAndEval('a[2, :2]', scope), math.matrix([[4, 5]]))
|
|
assert.deepEqual(parseAndEval('a[2, :end-1]', scope), math.matrix([[4, 5]]))
|
|
assert.deepEqual(parseAndEval('a[2, 2:]', scope), math.matrix([[5, 6]]))
|
|
assert.deepEqual(parseAndEval('a[2, 2:3]', scope), math.matrix([[5, 6]]))
|
|
assert.deepEqual(parseAndEval('a[2, 1:2:3]', scope), math.matrix([[4, 6]]))
|
|
assert.deepEqual(parseAndEval('a[:, 2]', scope), math.matrix([[2], [5], [8]]))
|
|
assert.deepEqual(parseAndEval('a[:2, 2]', scope), math.matrix([[2], [5]]))
|
|
assert.deepEqual(parseAndEval('a[:end-1, 2]', scope), math.matrix([[2], [5]]))
|
|
assert.deepEqual(parseAndEval('a[2:, 2]', scope), math.matrix([[5], [8]]))
|
|
assert.deepEqual(parseAndEval('a[2:3, 2]', scope), math.matrix([[5], [8]]))
|
|
assert.deepEqual(parseAndEval('a[1:2:3, 2]', scope), math.matrix([[2], [8]]))
|
|
})
|
|
|
|
it('should get a matrix subset of a matrix subset', function () {
|
|
var scope = {
|
|
a: math.matrix([
|
|
[1, 2, 3],
|
|
[4, 5, 6],
|
|
[7, 8, 9]
|
|
])
|
|
}
|
|
assert.deepEqual(parseAndEval('a[2, :][1,1]', scope), 4)
|
|
})
|
|
|
|
it('should get BigNumber value from an array', function () {
|
|
var res = parseAndEval('arr[1]', {arr: [math.bignumber(2)]})
|
|
assert.deepEqual(res, math.bignumber(2))
|
|
})
|
|
|
|
it('should parse matrix resizings', function () {
|
|
var scope = {}
|
|
assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]))
|
|
assert.deepEqual(parseAndEval('a[1:3,1] = [1;2;3]', scope), math.matrix([[1], [2], [3]]))
|
|
assert.deepEqual(parseAndEval('a[:,2] = [4;5;6]', scope), math.matrix([[4], [5], [6]]))
|
|
assert.deepEqual(scope.a, math.matrix([[1, 4], [2, 5], [3, 6]]))
|
|
|
|
assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]))
|
|
assert.strictEqual(parseAndEval('a[1,3] = 3', scope), 3)
|
|
assert.deepEqual(scope.a, math.matrix([[0, 0, 3]]))
|
|
assert.deepEqual(parseAndEval('a[2,:] = [[4,5,6]]', scope), math.matrix([[4, 5, 6]]))
|
|
assert.deepEqual(scope.a, math.matrix([[0, 0, 3], [4, 5, 6]]))
|
|
|
|
assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]))
|
|
assert.strictEqual(parseAndEval('a[3,1] = 3', scope), 3)
|
|
assert.deepEqual(scope.a, math.matrix([[0], [0], [3]]))
|
|
assert.deepEqual(parseAndEval('a[:,2] = [4;5;6]', scope), math.matrix([[4], [5], [6]]))
|
|
assert.deepEqual(scope.a, math.matrix([[0, 4], [0, 5], [3, 6]]))
|
|
|
|
assert.deepEqual(parseAndEval('a = []', scope), math.matrix([]))
|
|
assert.deepEqual(parseAndEval('a[1,1:3] = [[1,2,3]]', scope), math.matrix([[1, 2, 3]]))
|
|
assert.deepEqual(scope.a, math.matrix([[1, 2, 3]]))
|
|
assert.deepEqual(parseAndEval('a[2,:] = [[4,5,6]]', scope), math.matrix([[4, 5, 6]]))
|
|
assert.deepEqual(scope.a, 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]))
|
|
|
|
parseAndEval('f[:,:,2]=[5,6;7,8]', scope)
|
|
assert.deepEqual(scope.f, 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]]))
|
|
parseAndEval('a[3:end, 2:end]=9*ones(2,3)', scope)
|
|
assert.deepEqual(scope.a, 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 disable arrays as range in a matrix index', function () {
|
|
var scope = {
|
|
a: [[1, 2, 3], [4, 5, 6]]
|
|
}
|
|
|
|
assert.throws(function () {
|
|
parseAndEval('a[2, 2+3i]', scope)
|
|
}, /TypeError: Dimension must be an Array, Matrix, number, string, or Range/)
|
|
})
|
|
|
|
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('objects', function () {
|
|
it('should get an object property', function () {
|
|
assert.deepEqual(parseAndEval('obj["foo"]', {obj: {foo: 2}}), 2)
|
|
})
|
|
|
|
it('should get a nested object property', function () {
|
|
assert.deepEqual(parseAndEval('obj["foo"]["bar"]', {obj: {foo: {bar: 2}}}), 2)
|
|
})
|
|
|
|
it('should get a nested matrix subset from an object property', function () {
|
|
assert.deepEqual(parseAndEval('obj.foo[2]', {obj: {foo: [1, 2, 3]}}), 2)
|
|
assert.deepEqual(parseAndEval('obj.foo[end]', {obj: {foo: [1, 2, 3]}}), 3)
|
|
assert.deepEqual(parseAndEval('obj.foo[2][3]', {obj: {foo: ['hello', 'world']}}), 'r')
|
|
assert.deepEqual(parseAndEval('obj.foo[2][end]', {obj: {foo: ['hello', 'world']}}), 'd')
|
|
assert.deepEqual(parseAndEval('obj.foo[1].bar', {obj: {foo: [{bar: 4}]}}), 4)
|
|
})
|
|
|
|
it('should set an object property', function () {
|
|
var scope = {obj: {a: 3}}
|
|
var res = parseAndEval('obj["b"] = 2', scope)
|
|
assert.strictEqual(res, 2)
|
|
assert.deepEqual(scope, {obj: {a: 3, b: 2}})
|
|
})
|
|
|
|
it('should set a nested object property', function () {
|
|
var scope = {obj: {foo: {}}}
|
|
var res = parseAndEval('obj["foo"]["bar"] = 2', scope)
|
|
assert.strictEqual(res, 2)
|
|
assert.deepEqual(scope, {obj: {foo: {bar: 2}}})
|
|
})
|
|
|
|
it('should throw an error when trying to apply a matrix index as object property', function () {
|
|
var scope = {a: {}}
|
|
assert.throws(function () {
|
|
parseAndEval('a[2] = 6', scope)
|
|
}, /Cannot apply a numeric index as object property/)
|
|
})
|
|
|
|
it('should set a nested matrix subset from an object property (1)', function () {
|
|
var scope = {obj: {foo: [1, 2, 3]}}
|
|
assert.deepEqual(parseAndEval('obj.foo[2] = 6', scope), 6)
|
|
assert.deepEqual(scope, {obj: {foo: [1, 6, 3]}})
|
|
|
|
assert.deepEqual(parseAndEval('obj.foo[end] = 8', scope), 8)
|
|
assert.deepEqual(scope, {obj: {foo: [1, 6, 8]}})
|
|
})
|
|
|
|
it('should set a nested matrix subset from an object property (2)', function () {
|
|
var scope = {obj: {foo: [{bar: 4}]}}
|
|
assert.deepEqual(parseAndEval('obj.foo[1].bar = 6', scope), 6)
|
|
assert.deepEqual(scope, {obj: {foo: [{bar: 6}]}})
|
|
})
|
|
|
|
it('should set a nested matrix subset from an object property (3)', function () {
|
|
var scope = {obj: {foo: [{bar: {}}]}}
|
|
assert.deepEqual(parseAndEval('obj.foo[1].bar.baz = 6', scope), 6)
|
|
assert.deepEqual(scope, {obj: {foo: [{bar: {baz: 6}}]}})
|
|
})
|
|
|
|
it('should set a nested matrix subset from an object property (4)', function () {
|
|
var scope = {obj: {foo: ['hello', 'world']}}
|
|
assert.deepEqual(parseAndEval('obj.foo[1][end] = "a"', scope), 'a')
|
|
assert.deepEqual(scope, {obj: {foo: ['hella', 'world']}})
|
|
assert.deepEqual(parseAndEval('obj.foo[end][end] = "!"', scope), '!')
|
|
assert.deepEqual(scope, {obj: {foo: ['hella', 'worl!']}})
|
|
})
|
|
|
|
// TODO: test whether 1-based IndexErrors are thrown
|
|
|
|
it('should get an object property with dot notation', function () {
|
|
assert.deepEqual(parseAndEval('obj.foo', {obj: {foo: 2}}), 2)
|
|
})
|
|
|
|
it('should get an object property from an object inside parentheses', function () {
|
|
assert.deepEqual(parseAndEval('(obj).foo', {obj: {foo: 2}}), 2)
|
|
})
|
|
|
|
it('should get a nested object property with dot notation', function () {
|
|
assert.deepEqual(parseAndEval('obj.foo.bar', {obj: {foo: {bar: 2}}}), 2)
|
|
})
|
|
|
|
it('should invoke a function in an object', function () {
|
|
var scope = {
|
|
obj: {
|
|
fn: function (x) {
|
|
return x * x
|
|
}
|
|
}
|
|
}
|
|
assert.deepEqual(parseAndEval('obj.fn(2)', scope), 4)
|
|
assert.deepEqual(parseAndEval('obj["fn"](2)', scope), 4)
|
|
})
|
|
|
|
it('should apply implicit multiplication after a function call', function () {
|
|
assert.deepEqual(parseAndEval('sqrt(4)(1+2)'), 6)
|
|
assert.deepEqual(parseAndEval('sqrt(4)(1+2)(2)'), 12)
|
|
})
|
|
|
|
it('should invoke a function on an object with the right context', function () {
|
|
approx.equal(parseAndEval('(2.54 cm).toNumeric("inch")'), 1)
|
|
assert.deepEqual(parseAndEval('bignumber(2).plus(3)'), math.bignumber(5))
|
|
assert.deepEqual(parseAndEval('bignumber(2)["plus"](3)'), math.bignumber(5))
|
|
})
|
|
|
|
it('should invoke native methods on a number', function () {
|
|
assert.strictEqual(parseAndEval('(3).toString()'), '3')
|
|
assert.strictEqual(parseAndEval('(3.2).toFixed()'), '3')
|
|
})
|
|
|
|
it('should get nested object property with mixed dot- and index-notation', function () {
|
|
assert.deepEqual(parseAndEval('obj.foo["bar"].baz', {obj: {foo: {bar: {baz: 2}}}}), 2)
|
|
assert.deepEqual(parseAndEval('obj["foo"].bar["baz"]', {obj: {foo: {bar: {baz: 2}}}}), 2)
|
|
})
|
|
|
|
it('should set an object property with dot notation', function () {
|
|
var scope = {obj: {}}
|
|
parseAndEval('obj.foo = 2', scope)
|
|
assert.deepEqual(scope, {obj: {foo: 2}})
|
|
})
|
|
|
|
it('should set a nested object property with dot notation', function () {
|
|
var scope = {obj: {foo: {}}}
|
|
parseAndEval('obj.foo.bar = 2', scope)
|
|
assert.deepEqual(scope, {obj: {foo: {bar: 2}}})
|
|
})
|
|
|
|
it('should throw an error in case of invalid property with dot notation', function () {
|
|
assert.throws(function () { parseAndEval('obj. +foo') }, /SyntaxError: Property name expected after dot \(char 6\)/)
|
|
assert.throws(function () { parseAndEval('obj.["foo"]') }, /SyntaxError: Property name expected after dot \(char 5\)/)
|
|
})
|
|
|
|
it('should create an empty object', function () {
|
|
assert.deepEqual(parseAndEval('{}'), {})
|
|
})
|
|
|
|
it('should create an object with quoted keys', function () {
|
|
assert.deepEqual(parseAndEval('{"a":2+3,"b":"foo"}'), {a: 5, b: 'foo'})
|
|
})
|
|
|
|
it('should create an object with unquoted keys', function () {
|
|
assert.deepEqual(parseAndEval('{a:2+3,b:"foo"}'), {a: 5, b: 'foo'})
|
|
})
|
|
|
|
it('should create an object with child object', function () {
|
|
assert.deepEqual(parseAndEval('{a:{b:2}}'), {a: {b: 2}})
|
|
})
|
|
|
|
it('should get a property from a just created object', function () {
|
|
assert.deepEqual(parseAndEval('{foo:2}["foo"]'), 2)
|
|
})
|
|
|
|
it('should parse an object containing a function assignment', function () {
|
|
var obj = parseAndEval('{f: f(x)=x^2}')
|
|
assert.deepEqual(Object.keys(obj), ['f'])
|
|
assert.equal(obj.f(2), 4)
|
|
})
|
|
|
|
it('should not parse a function assignment in an accessor node', function () {
|
|
assert.throws(function () {
|
|
var scope = {}
|
|
var obj = parseAndEval('a["b"](x)=x^2', scope)
|
|
}, /SyntaxError: Invalid left hand side of assignment operator =/)
|
|
})
|
|
|
|
it('should parse an object containing a variable assignment', function () {
|
|
var scope = {}
|
|
assert.deepEqual(parseAndEval('{f: a=42}', scope), {f: 42})
|
|
assert.strictEqual(scope.a, 42)
|
|
})
|
|
|
|
it('should throw an exception in case of invalid object key', function () {
|
|
assert.throws(function () { parseAndEval('{a b: 2}') }, /SyntaxError: Colon : expected after object key \(char 4\)/)
|
|
assert.throws(function () { parseAndEval('{a: }') }, /SyntaxError: Value expected \(char 5\)/)
|
|
})
|
|
})
|
|
|
|
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 symbolic constants', function () {
|
|
assert.strictEqual(parse('i').type, 'SymbolNode')
|
|
assert.deepEqual(parseAndEval('i'), new Complex(0, 1))
|
|
approx.equal(parseAndEval('pi'), Math.PI)
|
|
approx.equal(parseAndEval('e'), Math.E)
|
|
})
|
|
|
|
it('should parse constants', function () {
|
|
assert.strictEqual(parse('true').type, 'ConstantNode')
|
|
assert.deepStrictEqual(parse('true'), createConstantNode(true))
|
|
assert.deepStrictEqual(parse('false'), createConstantNode(false))
|
|
assert.deepStrictEqual(parse('null'), createConstantNode(null))
|
|
assert.deepStrictEqual(parse('undefined'), createConstantNode(undefined))
|
|
})
|
|
|
|
it('should parse numeric constants', function () {
|
|
var nanConstantNode = parse('NaN')
|
|
assert.deepStrictEqual(nanConstantNode.type, 'ConstantNode')
|
|
assert.ok(isNaN(nanConstantNode.value))
|
|
assert.deepStrictEqual(parse('Infinity'), createConstantNode(Infinity))
|
|
})
|
|
|
|
// helper function to create a ConstantNode with empty comment
|
|
function createConstantNode (value) {
|
|
var c = new ConstantNode(value)
|
|
c.comment = ''
|
|
return c
|
|
}
|
|
})
|
|
|
|
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 parse variable assignment inside a function call', function () {
|
|
var scope = {}
|
|
assert.deepEqual(parseAndEval('sqrt(x=4)', scope), 2)
|
|
assert.deepEqual(scope, { x: 4 })
|
|
})
|
|
|
|
it('should parse variable assignment inside an accessor', function () {
|
|
var scope = {A: [10, 20, 30]}
|
|
assert.deepEqual(parseAndEval('A[x=2]', scope), 20)
|
|
assert.deepEqual(scope, { A: [10, 20, 30], x: 2 })
|
|
})
|
|
})
|
|
|
|
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 get a subset of a matrix returned by a function', function () {
|
|
var scope = {
|
|
test: function () {
|
|
return [1, 2, 3, 4]
|
|
}
|
|
}
|
|
assert.equal(parseAndEval('test()[2]', scope), 2)
|
|
})
|
|
|
|
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)
|
|
assert.equal(parseAndEval('2.+3'), 5) // test whether the decimal mark isn't confused
|
|
})
|
|
|
|
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.deepEqual(parseAndEval('4./[2,4]'), math.matrix([2, 1]))
|
|
assert.equal(parseAndEval('4 ./ 2'), 2)
|
|
assert.equal(parseAndEval('8 ./ 4 / 2'), 1)
|
|
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('2e3.*3'), 6e3)
|
|
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)
|
|
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(parseAndStringifyWithParens('4a'), '4 a')
|
|
assert.equal(parseAndStringifyWithParens('4 a'), '4 a')
|
|
assert.equal(parseAndStringifyWithParens('a b'), 'a b')
|
|
assert.equal(parseAndStringifyWithParens('2a b'), '(2 a) b')
|
|
assert.equal(parseAndStringifyWithParens('2a * b'), '(2 a) * b')
|
|
assert.equal(parseAndStringifyWithParens('2a / b'), '(2 a) / b')
|
|
assert.equal(parseAndStringifyWithParens('a b c'), '(a b) c')
|
|
assert.equal(parseAndStringifyWithParens('a b*c'), '(a b) * c')
|
|
assert.equal(parseAndStringifyWithParens('a*b c'), 'a * (b c)')
|
|
assert.equal(parseAndStringifyWithParens('a/b c'), 'a / (b c)')
|
|
|
|
assert.equal(parseAndStringifyWithParens('1/2a'), '(1 / 2) a')
|
|
assert.equal(parseAndStringifyWithParens('8/2a/2'), '((8 / 2) a) / 2')
|
|
assert.equal(parseAndStringifyWithParens('8/2a*2'), '((8 / 2) a) * 2')
|
|
assert.equal(parseAndStringifyWithParens('4*2a'), '4 * (2 a)')
|
|
assert.equal(parseAndStringifyWithParens('3!10'), '(3!) 10')
|
|
|
|
assert.equal(parseAndStringifyWithParens('(2+3)a'), '(2 + 3) a')
|
|
assert.equal(parseAndStringifyWithParens('(2+3)2'), '(2 + 3) 2')
|
|
assert.equal(parseAndStringifyWithParens('(2)(3)+4'), '(2 3) + 4')
|
|
assert.equal(parseAndStringifyWithParens('2(3+4)'), '2 (3 + 4)')
|
|
assert.equal(parseAndStringifyWithParens('(2+3)-2'), '(2 + 3) - 2') // no implicit multiplication, just a unary minus
|
|
assert.equal(parseAndStringifyWithParens('a(2+3)'), 'a(2 + 3)') // function call
|
|
assert.equal(parseAndStringifyWithParens('a.b(2+3)'), 'a.b(2 + 3)') // function call
|
|
assert.equal(parseAndStringifyWithParens('(2+3)(4+5)'), '(2 + 3) (4 + 5)') // implicit multiplication
|
|
assert.equal(parseAndStringifyWithParens('(2+3)(4+5)(3-1)'), '((2 + 3) (4 + 5)) (3 - 1)') // implicit multiplication
|
|
|
|
assert.equal(parseAndStringifyWithParens('(2a)^3'), '(2 a) ^ 3')
|
|
assert.equal(parseAndStringifyWithParens('2a^3'), '2 (a ^ 3)')
|
|
assert.equal(parseAndStringifyWithParens('2(a)^3'), '2 (a ^ 3)')
|
|
assert.equal(parseAndStringifyWithParens('(2)a^3'), '2 (a ^ 3)')
|
|
assert.equal(parseAndStringifyWithParens('2^3a'), '(2 ^ 3) a')
|
|
assert.equal(parseAndStringifyWithParens('2^3(a)'), '(2 ^ 3) a')
|
|
assert.equal(parseAndStringifyWithParens('2^(3)(a)'), '(2 ^ 3) a')
|
|
assert.equal(parseAndStringifyWithParens('sqrt(2a)'), 'sqrt(2 a)')
|
|
|
|
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('A [2,2]', {A: [[1, 2], [3, 4]]}), 4) // index
|
|
assert.deepEqual(parseAndEval('(A) [2,2]', {A: [[1, 2], [3, 4]]}), 4) // index
|
|
|
|
assert.deepEqual(parseAndEval('[1,2;3,4] [2,2]'), 4) // index
|
|
assert.deepEqual(parseAndEval('([1,2;3,4])[2,2]'), 4) // index
|
|
assert.throws(function () { parseAndEval('2[1,2,3]') }, /Unexpected operator/)// index
|
|
})
|
|
|
|
it('should tell the OperatorNode about implicit multiplications', function () {
|
|
assert.equal(parse('2 + 3').implicit, false)
|
|
assert.equal(parse('4 * a').implicit, false)
|
|
|
|
assert.equal(parse('4a').implicit, true)
|
|
assert.equal(parse('4 a').implicit, true)
|
|
assert.equal(parse('a b').implicit, true)
|
|
assert.equal(parse('2a b').implicit, true)
|
|
assert.equal(parse('a b c').implicit, true)
|
|
|
|
assert.equal(parse('(2+3)a').implicit, true)
|
|
assert.equal(parse('(2+3)2').implicit, true)
|
|
assert.equal(parse('2(3+4)').implicit, true)
|
|
})
|
|
|
|
it('should correctly order consecutive multiplications and implicit multiplications', function () {
|
|
assert.equal(parseAndStringifyWithParens('9km*3km'), '(9 km) * (3 km)')
|
|
})
|
|
|
|
it('should follow precedence rules for implicit multiplication and division', function () {
|
|
assert.equal(parseAndStringifyWithParens('2 / 3 x'), '(2 / 3) x')
|
|
assert.equal(parseAndStringifyWithParens('2.5 / 5 kg'), '(2.5 / 5) kg')
|
|
assert.equal(parseAndStringifyWithParens('2.5 / 5 x y'), '((2.5 / 5) x) y')
|
|
assert.equal(parseAndStringifyWithParens('2 x / 5 y'), '(2 x) / (5 y)')
|
|
assert.equal(parseAndStringifyWithParens('17 h / 1 h'), '(17 h) / (1 h)')
|
|
assert.equal(parseAndStringifyWithParens('1 / 2 x'), '(1 / 2) x')
|
|
assert.equal(parseAndStringifyWithParens('1 / 2 * x'), '(1 / 2) * x')
|
|
assert.equal(parseAndStringifyWithParens('1 / 2 x y'), '((1 / 2) x) y')
|
|
assert.equal(parseAndStringifyWithParens('1 / 2 (x y)'), '(1 / 2) (x y)')
|
|
assert.equal(parseAndStringifyWithParens('1 / 2x * y'), '((1 / 2) x) * y')
|
|
assert.equal(parseAndStringifyWithParens('y / 2 x'), 'y / (2 x)')
|
|
assert.equal(parseAndStringifyWithParens('y / 2 * x'), '(y / 2) * x')
|
|
assert.equal(parseAndStringifyWithParens('y / 2 x w'), 'y / ((2 x) w)')
|
|
assert.equal(parseAndStringifyWithParens('y / v x w'), 'y / ((v x) w)')
|
|
assert.equal(parseAndStringifyWithParens('1 h / (1+1) h'), '(1 h) / ((1 + 1) h)')
|
|
assert.equal(parseAndStringifyWithParens('4 lb + 1/2 lb'), '(4 lb) + ((1 / 2) lb)')
|
|
assert.equal(parseAndStringifyWithParens('4 lb + 1 lb^2 / 2 lb'), '(4 lb) + ((1 (lb ^ 2)) / (2 lb))')
|
|
assert.equal(parseAndStringifyWithParens('1 m/s^2 + 1 m / 2 s^2'), '((1 m) / (s ^ 2)) + ((1 m) / (2 (s ^ 2)))')
|
|
assert.equal(parseAndStringifyWithParens('8.314 J/mol K'), '(8.314 J) / (mol K)')
|
|
})
|
|
|
|
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"/)
|
|
assert.throws(function () { math.parse('-2 2') }, /Unexpected part "2"/)
|
|
assert.throws(function () { math.parse('+3 3') }, /Unexpected part "3"/)
|
|
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]'), 120) // index [2]
|
|
})
|
|
|
|
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']))
|
|
})
|
|
})
|
|
|
|
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)]))
|
|
|
|
bigmath.eval('a[1] = 0.3', scope)
|
|
assert.deepEqual(scope.a, bigmath.matrix([new BigNumber(0.3), new BigNumber(0.2)]))
|
|
bigmath.eval('a[:] = [0.5, 0.6]', scope)
|
|
assert.deepEqual(scope.a, bigmath.matrix([new BigNumber(0.5), new BigNumber(0.6)]))
|
|
bigmath.eval('a[1:2] = [0.7, 0.8]', scope)
|
|
assert.deepEqual(scope.a, 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))
|
|
})
|
|
|
|
it('should work with units', function () {
|
|
assert.deepEqual(bigmath.eval('2 cm'), new Unit(new BigNumber(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)
|
|
n.compile().eval(scope)
|
|
assert.deepEqual(scope.qq, math.matrix([[33, 2], [3, 4]]))
|
|
parse('qq=[4]').compile().eval(scope)
|
|
n.compile().eval(scope)
|
|
assert.deepEqual(scope.qq, 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')
|
|
})
|
|
|
|
it('should correctly stringify an index with dot notation', function () {
|
|
assert.equal(parse('A[2]').toString(), 'A[2]')
|
|
assert.equal(parse('a["b"]').toString(), 'a["b"]')
|
|
assert.equal(parse('a.b').toString(), 'a.b')
|
|
})
|
|
|
|
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 (math, argNames) {
|
|
var strArgs = []
|
|
this.args.forEach(function (arg) {
|
|
strArgs.push(arg.toString())
|
|
})
|
|
return function (scope, args, context) {
|
|
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/)
|
|
})
|
|
})
|
|
})
|
|
|
|
describe('expose test functions', function () {
|
|
it('should expose isAlpha', function () {
|
|
assert.ok('should expose isAlpha', typeof math.expression.parse.isAlpha === 'function')
|
|
})
|
|
|
|
it('should expose isValidLatinOrGreek', function () {
|
|
assert.ok('should expose isAlpha', typeof math.expression.parse.isValidLatinOrGreek === 'function')
|
|
})
|
|
|
|
it('should expose isValidMathSymbol', function () {
|
|
assert.ok('should expose isAlpha', typeof math.expression.parse.isValidMathSymbol === 'function')
|
|
})
|
|
|
|
it('should expose isWhitespace', function () {
|
|
assert.ok('should expose isAlpha', typeof math.expression.parse.isWhitespace === 'function')
|
|
})
|
|
|
|
it('should expose isDecimalMark', function () {
|
|
assert.ok('should expose isAlpha', typeof math.expression.parse.isDecimalMark === 'function')
|
|
})
|
|
|
|
it('should expose isDigitDot', function () {
|
|
assert.ok('should expose isAlpha', typeof math.expression.parse.isDigitDot === 'function')
|
|
})
|
|
|
|
it('should expose isDigit', function () {
|
|
assert.ok('should expose isAlpha', typeof math.expression.parse.isDigit === 'function')
|
|
})
|
|
|
|
it('should allow overriding isAlpha', function () {
|
|
var originalIsAlpha = math.expression.parse.isAlpha
|
|
|
|
// override isAlpha with one accepting $ characters too
|
|
math.expression.parse.isAlpha = function (c, cPrev, cNext) {
|
|
return /^[a-zA-Z_$]$/.test(c)
|
|
}
|
|
|
|
var node = math.expression.parse('$foo')
|
|
var result = node.eval({$foo: 42})
|
|
assert.equal(result, 42)
|
|
|
|
// restore original isAlpha
|
|
math.expression.parse.isAlpha = originalIsAlpha
|
|
})
|
|
})
|
|
|
|
it('Should not allow crashing math by placing a clone function in the config', function () {
|
|
var mathClone = math.create()
|
|
|
|
try {
|
|
mathClone.eval('f(x)=1;config({clone:f})')
|
|
} catch (err) {}
|
|
|
|
assert.equal(mathClone.eval('2'), 2)
|
|
})
|
|
})
|