diff --git a/.github/FUNDING.yml b/.github/FUNDING.yml new file mode 100644 index 0000000000..b5c289140a --- /dev/null +++ b/.github/FUNDING.yml @@ -0,0 +1 @@ +github: josdejong diff --git a/HISTORY.md b/HISTORY.md index 01830d2de7..447f0435b1 100644 --- a/HISTORY.md +++ b/HISTORY.md @@ -1,9 +1,55 @@ # History -# not yet published, version 6.2.2 +# 2020-01-08, version 6.5.0 +- Implemented `baseName` option for `createUnit`, see #1707. + Thanks @ericman314. + + +# 2020-01-06, version 6.4.0 + +- Extended function `dimension` with support for n-dimensional points. + Thanks @Veeloxfire. + + +# 2019-12-31, version 6.3.0 + +- Improved performance of `factorial` for `BigNumber` up to a factor two, + see #1687. Thanks @kmdrGroch. + + +# 2019-11-20, version 6.2.5 + +- Fixed `IndexNode` using a hardcoded, one-based implementation of `index`, + making it impossible to instantiate a zero-based version of the expression + parser. See #782. + + +# 2019-11-20, version 6.2.4 + +- Fixed #1669: function 'qr' threw an error if the pivot was zero, + thanks @kevinkelleher12 and @harrysarson. +- Resolves #942: remove misleading assert in 'qr'. Thanks @harrysarson. +- Work around a bug in complex.js where `sign(0)` returns complex NaN. + Thanks @harrysarson. + + +# 2019-10-06, version 6.2.3 + +- Fixed #1640: function `mean` not working for units. Thanks @clintonc. +- Fixed #1639: function `min` listed twice in the "See also" section of the + embedded docs of function `std`. +- Improved performance of `isPrime`, see #1641. Thanks @arguiot. + + +# 2019-09-23, version 6.2.2 + +- Fixed methods `map` and `clone` not copying the `dotNotation` property of + `IndexNode`. Thanks @rianmcguire. +- Fixed a typo in the documentation of `toHTML`. Thanks @maytanthegeek. - Fixed #1615: error in the docs of `isNumeric`. +- Fixed #1628: Cannot call methods on empty strings or numbers with value `0`. # 2019-08-31, version 6.2.1 diff --git a/NOTICE b/NOTICE index b054d04c76..7489eb744c 100644 --- a/NOTICE +++ b/NOTICE @@ -1,7 +1,7 @@ math.js https://github.com/josdejong/mathjs -Copyright (C) 2013-2019 Jos de Jong +Copyright (C) 2013-2020 Jos de Jong Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. diff --git a/README.md b/README.md index dc8cabbe0b..dfb3c57e0f 100644 --- a/README.md +++ b/README.md @@ -8,7 +8,7 @@ Math.js is an extensive math library for JavaScript and Node.js. It features a f [![Downloads](https://img.shields.io/npm/dm/mathjs.svg)](https://www.npmjs.com/package/mathjs) [![Build Status](https://img.shields.io/travis/josdejong/mathjs/master.svg)](https://travis-ci.org/josdejong/mathjs) [![Greenkeeper badge](https://badges.greenkeeper.io/josdejong/mathjs.svg)](https://greenkeeper.io/) -[![Maintenance](https://img.shields.io/maintenance/yes/2019.svg)](https://github.com/josdejong/mathjs/graphs/commit-activity) +[![Maintenance](https://img.shields.io/maintenance/yes/2020.svg)](https://github.com/josdejong/mathjs/graphs/commit-activity) [![License](https://img.shields.io/github/license/josdejong/mathjs.svg)](https://github.com/josdejong/mathjs/blob/master/LICENSE) [![FOSSA Status](https://app.fossa.io/api/projects/git%2Bgithub.com%2Fjosdejong%2Fmathjs.svg?type=shield)](https://app.fossa.io/projects/git%2Bgithub.com%2Fjosdejong%2Fmathjs?ref=badge_shield) [![Slack](https://slack.bri.im/badge.svg)](https://slack.bri.im) @@ -146,7 +146,7 @@ Thanks Travis CI and BrowserStack for the generous free hosting of this open sou ## License -Copyright (C) 2013-2019 Jos de Jong +Copyright (C) 2013-2020 Jos de Jong Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. diff --git a/bin/cli.js b/bin/cli.js index f61e79f012..a4bc4ff3c3 100755 --- a/bin/cli.js +++ b/bin/cli.js @@ -30,7 +30,7 @@ * cat script.txt | mathjs > results.txt Run input stream, output to file * * @license - * Copyright (C) 2013-2019 Jos de Jong + * Copyright (C) 2013-2020 Jos de Jong * * Licensed under the Apache License, Version 2.0 (the "License"); you may not * use this file except in compliance with the License. You may obtain a copy diff --git a/docs/datatypes/units.md b/docs/datatypes/units.md index 0931f40ca0..cabc78b31f 100644 --- a/docs/datatypes/units.md +++ b/docs/datatypes/units.md @@ -115,7 +115,7 @@ math.createUnit('furlong', '220 yards') math.evaluate('1 mile to furlong') // 8 furlong ``` -If you cannot express the new unit in terms of any existing unit, then the second argument can be omitted. In this case, a new base unit is created: +If you cannot express the new unit in terms of any existing unit, then the second argument can be omitted. In this case, a new *base unit* is created: ```js // A 'foo' cannot be expressed in terms of any other unit. @@ -129,6 +129,7 @@ The second argument to `createUnit` can also be a configuration object consistin * **prefixes** A `string` indicating which prefixes math.js should use with the new unit. Possible values are `'none'`, `'short'`, `'long'`, `'binary_short'`, or `'binary_long'`. Default is `'none'`. * **offset** A value applied when converting to the unit. This is very helpful for temperature scales that do not share a zero with the absolute temperature scale. For example, if we were defining fahrenheit for the first time, we would use: `math.createUnit('fahrenheit', {definition: '0.555556 kelvin', offset: 459.67})` * **aliases** An array of strings to alias the new unit. Example: `math.createUnit('knot', {definition: '0.514444 m/s', aliases: ['knots', 'kt', 'kts']})` +* **baseName** A `string` that specifies the name of the new dimension in case one needs to be created. Every unit in math.js has a dimension: length, time, velocity, etc. If the unit's `definition` doesn't match any existing dimension, or it is a new base unit, then `createUnit` will create a new dimension with the name `baseName` and assign it to the new unit. The default is to append `'_STUFF'` to the unit's name. If the unit already matches an existing dimension, this option has no effect. An optional `options` object can also be supplied as the last argument to `createUnits`. Currently only the `override` option is supported: @@ -145,7 +146,8 @@ For example: ```js math.createUnit( { foo: { - prefixes: 'long' + prefixes: 'long', + baseName: 'essence-of-foo' }, bar: '40 foo', baz: { diff --git a/docs/expressions/expression_trees.md b/docs/expressions/expression_trees.md index a34e6b4014..2aed72dfc2 100644 --- a/docs/expressions/expression_trees.md +++ b/docs/expressions/expression_trees.md @@ -141,7 +141,7 @@ All nodes have the following methods: ```js const node = math.parse('sqrt(2/3)') - node.toString() + node.toHTML() // returns // sqrt // ( diff --git a/package-lock.json b/package-lock.json index 16a875a4f7..97983b4ffb 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,6 +1,6 @@ { "name": "mathjs", - "version": "6.2.1", + "version": "6.5.0", "lockfileVersion": 1, "requires": true, "dependencies": { @@ -13,21 +13,33 @@ "@babel/highlight": "^7.0.0" } }, - "@babel/core": { - "version": "7.6.0", - "resolved": 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Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with different data types like numbers, big numbers, complex numbers, fractions, units, and matrices.", "author": "Jos de Jong (https://github.com/josdejong)", "contributors": [ @@ -8,13 +8,16 @@ "Albert Emil (https://github.com/AlbertEmil)", "Alexander Beyn (https://github.com/AlexanderBeyn)", "Andy Pan (https://github.com/andy0130tw)", + "Arthur Guiot (https://github.com/arguiot)", "Bart Kiers (https://github.com/bkiers)", + "Bartosz Leoniak (https://github.com/kmdrGroch)", "Ben Weinshel (https://github.com/weinshel)", "Benjamin Lucas (https://github.com/bnlcas)", "Brett Jurgens (https://github.com/brettjurgens)", "Bryan Cuccioli (https://github.com/bcuccioli)", "Chris Chudzicki (https://github.com/ChristopherChudzicki)", "Chris Hadgis (https://github.com/SzechuanSage)", + "Clinton Curry (https://github.com/clintonc)", "Dakota Blair (https://github.com/dakotablair)", "Daniel Kostro (https://github.com/stropitek)", "Daniel Levin (https://github.com/daniel-levin)", @@ -83,11 +86,13 @@ "Sergey Romanov (https://github.com/saromanov)", "Slava Ganzin (https://github.com/slavaGanzin)", "Stu Blair (https://github.com/stu-blair)", + "Tanmay (https://github.com/maytanthegeek)", "Thomas Brierley (https://github.com/ThomasBrierley)", "Timothy Lee (https://github.com/tetslee)", "Tom MacWright (https://github.com/tmcw)", "Tóth Róbert (https://github.com/Nekomajin42)", "Todd Morse (https://github.com/morsecodist)", + "Veeloxfire (https://github.com/Veeloxfire)", "Vlad Levitskiy (https://github.com/mcvladthegoat)", "Waldir Pimenta (https://github.com/waldyrious)", "Waseem Yusuf (https://github.com/waseemyusuf)", @@ -125,44 +130,44 @@ "typed-function": "1.1.1" }, "devDependencies": { - "@babel/core": "7.6.0", - "@babel/plugin-transform-object-assign": "7.2.0", - "@babel/preset-env": "7.6.0", - "@babel/register": "7.6.0", + "@babel/core": "7.8.3", + "@babel/plugin-transform-object-assign": "7.8.3", + "@babel/preset-env": "7.8.3", + "@babel/register": "7.8.3", "babel-loader": "8.0.6", "benchmark": "2.1.4", - "codecov": "3.5.0", + "codecov": "3.6.1", "del": "5.1.0", - "expr-eval": "1.2.3", + "expr-eval": "2.0.2", "fancy-log": "1.3.3", - "glob": "7.1.4", + "glob": "7.1.6", "gulp": "4.0.2", "gulp-babel": "8.0.0", - "handlebars": "4.2.0", + "handlebars": "4.7.2", "istanbul": "0.4.5", "jsep": "0.3.4", - "karma": "4.3.0", + "karma": "4.4.1", "karma-browserstack-launcher": "1.5.1", - "karma-firefox-launcher": "1.2.0", + "karma-firefox-launcher": "1.3.0", "karma-mocha": "1.3.0", "karma-mocha-reporter": "2.2.5", "karma-webpack": "4.0.2", "math-expression-evaluator": "1.2.17", "mkdirp": "0.5.1", - "mocha": "6.2.0", - "ndarray": "1.0.18", + "mocha": "7.0.0", + "ndarray": "1.0.19", "ndarray-determinant": "1.0.0", "ndarray-gemm": "1.0.0", "ndarray-ops": "1.2.2", "ndarray-pack": "1.2.1", "numericjs": "1.2.6", - "nyc": "14.1.1", + "nyc": "15.0.0", "pad-right": "0.2.2", - "standard": "14.1.0", + "standard": "14.3.1", "sylvester": "0.0.21", - "uglify-js": "3.6.0", - "underscore": "1.9.1", - "webpack": "4.39.3", + "uglify-js": "3.7.5", + "underscore": "1.9.2", + "webpack": "4.41.5", "zeros": "1.0.0" }, "main": "main/es5", @@ -195,9 +200,9 @@ "lint": "standard --env=mocha --env=worker", "validate:ascii": "gulp validate:ascii", "test": "npm run test:src && npm run lint", - "test:src": "mocha test/unit-tests --recursive --require @babel/register", - "test:generated": "mocha test/generated-code-tests --recursive --require @babel/register", - "test:node": "mocha test/node-tests/*.test.js test/node-tests/**/*.test.js --recursive", + "test:src": "mocha test/unit-tests --recursive --require @babel/register --forbid-only", + "test:generated": "mocha test/generated-code-tests --recursive --require @babel/register --forbid-only", + "test:node": "mocha test/node-tests/*.test.js test/node-tests/**/*.test.js --recursive --forbid-only", "test:browser": "karma start test/browser-test-config/local-karma.js", "test:browserstack": "karma start test/browser-test-config/browserstack-karma.js", "coverage": "nyc --reporter=lcov --reporter=text-summary mocha test/unit-tests --recursive --require @babel/register && echo \"\nDetailed coverage report is available at ./coverage/lcov-report/index.html\"", diff --git a/src/expression/embeddedDocs/function/geometry/distance.js b/src/expression/embeddedDocs/function/geometry/distance.js index 7c9ad52f3a..0298060647 100644 --- a/src/expression/embeddedDocs/function/geometry/distance.js +++ b/src/expression/embeddedDocs/function/geometry/distance.js @@ -3,7 +3,7 @@ export const distanceDocs = { category: 'Geometry', syntax: [ 'distance([x1, y1], [x2, y2])', - 'distance([[x1, y1], [x2, y2])' + 'distance([[x1, y1], [x2, y2]])' ], description: 'Calculates the Euclidean distance between two points.', examples: [ diff --git a/src/expression/embeddedDocs/function/statistics/std.js b/src/expression/embeddedDocs/function/statistics/std.js index be6b9d5b0d..ea6e2a1582 100644 --- a/src/expression/embeddedDocs/function/statistics/std.js +++ b/src/expression/embeddedDocs/function/statistics/std.js @@ -19,7 +19,6 @@ export const stdDocs = { 'mean', 'min', 'median', - 'min', 'prod', 'sum', 'variance' diff --git a/src/expression/node/IndexNode.js b/src/expression/node/IndexNode.js index 72d0bc8e09..1a0cbaf90a 100644 --- a/src/expression/node/IndexNode.js +++ b/src/expression/node/IndexNode.js @@ -1,20 +1,17 @@ import { isBigNumber, isConstantNode, isNode, isRangeNode, isSymbolNode } from '../../utils/is' -import { createIndexTransform } from '../transform/index.transform' import { map } from '../../utils/array' import { escape } from '../../utils/string' import { factory } from '../../utils/factory' +import { getSafeProperty } from '../../utils/customs' const name = 'IndexNode' const dependencies = [ 'Range', 'Node', - 'Index', 'size' ] -export const createIndexNode = /* #__PURE__ */ factory(name, dependencies, ({ Range, Node, Index, size }) => { - const index = createIndexTransform({ Index }) - +export const createIndexNode = /* #__PURE__ */ factory(name, dependencies, ({ Range, Node, size }) => { /** * @constructor IndexNode * @extends Node @@ -143,6 +140,8 @@ export const createIndexNode = /* #__PURE__ */ factory(name, dependencies, ({ Ra } }) + const index = getSafeProperty(math, 'index') + return function evalIndexNode (scope, args, context) { const dimensions = map(evalDimensions, function (evalDimension) { return evalDimension(scope, args, context) @@ -174,7 +173,7 @@ export const createIndexNode = /* #__PURE__ */ factory(name, dependencies, ({ Ra dimensions[i] = this._ifNode(callback(this.dimensions[i], 'dimensions[' + i + ']', this)) } - return new IndexNode(dimensions) + return new IndexNode(dimensions, this.dotNotation) } /** @@ -182,7 +181,7 @@ export const createIndexNode = /* #__PURE__ */ factory(name, dependencies, ({ Ra * @return {IndexNode} */ IndexNode.prototype.clone = function () { - return new IndexNode(this.dimensions.slice(0)) + return new IndexNode(this.dimensions.slice(0), this.dotNotation) } /** diff --git a/src/factoriesNumber.js b/src/factoriesNumber.js index 1baa506f1c..6bda89954b 100644 --- a/src/factoriesNumber.js +++ b/src/factoriesNumber.js @@ -72,7 +72,7 @@ import { } from './plain/number' import { factory } from './utils/factory' -import { noIndexClass, noMatrix, noSubset } from './utils/noop' +import { noIndex, noMatrix, noSubset } from './utils/noop' // ---------------------------------------------------------------------------- // classes and functions @@ -208,7 +208,7 @@ export { createMap } from './function/matrix/map' export { createRange } from './function/matrix/range' export { createSize } from './function/matrix/size' // FIXME: create a lightweight "number" implementation of subset only supporting plain objects/arrays -export const createIndexClass = /* #__PURE__ */ factory('Index', [], () => noIndexClass, { isClass: true }) +export const createIndex = /* #__PURE__ */ factory('index', [], () => noIndex) export const createMatrix = /* #__PURE__ */ factory('matrix', [], () => noMatrix) // FIXME: needed now because subset transform needs it. Remove the need for it in subset export const createSubset = /* #__PURE__ */ factory('subset', [], () => noSubset) // TODO: provide number+array implementations for map, filter, forEach, zeros, ...? diff --git a/src/function/algebra/decomposition/qr.js b/src/function/algebra/decomposition/qr.js index 5e4f9ff95b..883917bbd8 100644 --- a/src/function/algebra/decomposition/qr.js +++ b/src/function/algebra/decomposition/qr.js @@ -7,7 +7,7 @@ const dependencies = [ 'zeros', 'identity', 'isZero', - 'unequal', + 'equal', 'sign', 'sqrt', 'conj', @@ -15,7 +15,8 @@ const dependencies = [ 'addScalar', 'divideScalar', 'multiplyScalar', - 'subtract' + 'subtract', + 'complex' ] export const createQr = /* #__PURE__ */ factory(name, dependencies, ( @@ -25,7 +26,7 @@ export const createQr = /* #__PURE__ */ factory(name, dependencies, ( zeros, identity, isZero, - unequal, + equal, sign, sqrt, conj, @@ -33,7 +34,8 @@ export const createQr = /* #__PURE__ */ factory(name, dependencies, ( addScalar, divideScalar, multiplyScalar, - subtract + subtract, + complex } ) => { /** @@ -79,7 +81,7 @@ export const createQr = /* #__PURE__ */ factory(name, dependencies, ( * @return {{Q: Array | Matrix, R: Array | Matrix}} Q: the orthogonal * matrix and R: the upper triangular matrix */ - return typed(name, { + return Object.assign(typed(name, { DenseMatrix: function (m) { return _denseQR(m) @@ -100,9 +102,9 @@ export const createQr = /* #__PURE__ */ factory(name, dependencies, ( R: r.R.valueOf() } } - }) + }), { _denseQRimpl }) - function _denseQR (m) { + function _denseQRimpl (m) { // rows & columns (m x n) const rows = m._size[0] // m const cols = m._size[1] // n @@ -144,7 +146,7 @@ export const createQr = /* #__PURE__ */ factory(name, dependencies, ( */ const pivot = Rdata[k][k] - const sgn = unaryMinus(sign(pivot)) + const sgn = unaryMinus(equal(pivot, 0) ? 1 : sign(pivot)) const conjSgn = conj(sgn) let alphaSquared = 0 @@ -229,20 +231,6 @@ export const createQr = /* #__PURE__ */ factory(name, dependencies, ( } } - // coerse almost zero elements to zero - // TODO I feel uneasy just zeroing these values - for (i = 0; i < rows; ++i) { - for (j = 0; j < i && j < cols; ++j) { - if (unequal(0, divideScalar(Rdata[i][j], 1e5))) { - throw new Error('math.qr(): unknown error - ' + - 'R is not lower triangular (element (' + - i + ', ' + j + ') = ' + Rdata[i][j] + ')' - ) - } - Rdata[i][j] = multiplyScalar(Rdata[i][j], 0) - } - } - // return matrices return { Q: Q, @@ -253,6 +241,22 @@ export const createQr = /* #__PURE__ */ factory(name, dependencies, ( } } + function _denseQR (m) { + const ret = _denseQRimpl(m) + const Rdata = ret.R._data + if (m._data.length > 0) { + const zero = Rdata[0][0].type === 'Complex' ? complex(0) : 0 + + for (let i = 0; i < Rdata.length; ++i) { + for (let j = 0; j < i && j < (Rdata[0] || []).length; ++j) { + Rdata[i][j] = zero + } + } + } + + return ret + } + function _sparseQR (m) { throw new Error('qr not implemented for sparse matrices yet') } diff --git a/src/function/arithmetic/sign.js b/src/function/arithmetic/sign.js index fc4e9b5953..0725aa2312 100644 --- a/src/function/arithmetic/sign.js +++ b/src/function/arithmetic/sign.js @@ -3,9 +3,9 @@ import { deepMap } from '../../utils/collection' import { signNumber } from '../../plain/number' const name = 'sign' -const dependencies = ['typed', 'BigNumber', 'Fraction'] +const dependencies = ['typed', 'BigNumber', 'Fraction', 'complex'] -export const createSign = /* #__PURE__ */ factory(name, dependencies, ({ typed, BigNumber, Fraction }) => { +export const createSign = /* #__PURE__ */ factory(name, dependencies, ({ typed, BigNumber, complex, Fraction }) => { /** * Compute the sign of a value. The sign of a value x is: * @@ -40,7 +40,7 @@ export const createSign = /* #__PURE__ */ factory(name, dependencies, ({ typed, number: signNumber, Complex: function (x) { - return x.sign() + return x.im === 0 ? complex(signNumber(x.re)) : x.sign() }, BigNumber: function (x) { diff --git a/src/function/geometry/distance.js b/src/function/geometry/distance.js index ac38782e8c..3ecd295106 100644 --- a/src/function/geometry/distance.js +++ b/src/function/geometry/distance.js @@ -16,7 +16,7 @@ const dependencies = [ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typed, addScalar, subtract, multiplyScalar, divideScalar, unaryMinus, sqrt, abs }) => { /** * Calculates: - * The eucledian distance between two points in 2 and 3 dimensional spaces. + * The eucledian distance between two points in N-dimensional spaces. * Distance between point and a line in 2 and 3 dimensional spaces. * Pairwise distance between a set of 2D or 3D points * NOTE: @@ -28,6 +28,7 @@ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typ *- math.distance({pointOneX: 4, pointOneY: 5}, {pointTwoX: 2, pointTwoY: 7}) * math.distance([x1, y1, z1], [x2, y2, z2]) * math.distance({pointOneX: 4, pointOneY: 5, pointOneZ: 8}, {pointTwoX: 2, pointTwoY: 7, pointTwoZ: 9}) + * math.distance([x1, y1, ... , N1], [x2, y2, ... , N2]) * math.distance([[A], [B], [C]...]) * math.distance([x1, y1], [LinePtX1, LinePtY1], [LinePtX2, LinePtY2]) * math.distance({pointX: 1, pointY: 4}, {lineOnePtX: 6, lineOnePtY: 3}, {lineTwoPtX: 2, lineTwoPtY: 8}) @@ -48,6 +49,7 @@ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typ * math.distance( * {pointOneX: 4, pointOneY: 5, pointOneZ: 8}, * {pointTwoX: 2, pointTwoY: 7, pointTwoZ: 9}) // Returns 3 + * math.distance([1, 0, 1, 0], [0, -1, 0, -1]) // Returns 2 * math.distance([[1, 2], [1, 2], [1, 3]]) // Returns [0, 1, 1] * math.distance([[1,2,4], [1,2,6], [8,1,3]]) // Returns [2, 7.14142842854285, 7.681145747868608] * math.distance([10, 10], [8, 1, 3]) // Returns 11.535230316796387 @@ -123,26 +125,16 @@ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typ } return _distancePointLine3D(x[0], x[1], x[2], y[0], y[1], y[2], y[3], y[4], y[5]) - } else if (x.length === 2 && y.length === 2) { - // Point to Point 2D - if (!_2d(x)) { - throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument') - } - if (!_2d(y)) { - throw new TypeError('Array with 2 numbers or BigNumbers expected for second argument') - } - - return _distance2d(x[0], x[1], y[0], y[1]) - } else if (x.length === 3 && y.length === 3) { - // Point to Point 3D - if (!_3d(x)) { - throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument') + } else if (x.length === y.length && x.length > 0) { + // Point to Point N-dimensions + if (!_containsOnlyNumbers(x)) { + throw new TypeError('All values of an array should be numbers or BigNumbers') } - if (!_3d(y)) { - throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument') + if (!_containsOnlyNumbers(y)) { + throw new TypeError('All values of an array should be numbers or BigNumbers') } - return _distance3d(x[0], x[1], x[2], y[0], y[1], y[2]) + return _euclideanDistance(x, y) } else { throw new TypeError('Invalid Arguments: Try again') } @@ -182,7 +174,7 @@ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typ throw new TypeError('Values of pointTwoX and pointTwoY should be numbers or BigNumbers') } if ('pointOneX' in x && 'pointOneY' in x && 'pointTwoX' in y && 'pointTwoY' in y) { - return _distance2d(x.pointOneX, x.pointOneY, y.pointTwoX, y.pointTwoY) + return _euclideanDistance([x.pointOneX, x.pointOneY], [y.pointTwoX, y.pointTwoY]) } else { throw new TypeError('Key names do not match') } @@ -197,7 +189,7 @@ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typ if ('pointOneX' in x && 'pointOneY' in x && 'pointOneZ' in x && 'pointTwoX' in y && 'pointTwoY' in y && 'pointTwoZ' in y ) { - return _distance3d(x.pointOneX, x.pointOneY, x.pointOneZ, y.pointTwoX, y.pointTwoY, y.pointTwoZ) + return _euclideanDistance([x.pointOneX, x.pointOneY, x.pointOneZ], [y.pointTwoX, y.pointTwoY, y.pointTwoZ]) } else { throw new TypeError('Key names do not match') } @@ -233,6 +225,14 @@ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typ return _isNumber(a[0]) && _isNumber(a[1]) && _isNumber(a[2]) } + function _containsOnlyNumbers (a) { + // checks if the number of arguments are correct in count and are valid (should be numbers) + if (!Array.isArray(a)) { + a = _objectToArray(a) + } + return a.every(_isNumber) + } + function _parametricLine (a) { if (a.constructor !== Array) { a = _objectToArray(a) @@ -281,30 +281,31 @@ export const createDistance = /* #__PURE__ */ factory(name, dependencies, ({ typ return divideScalar(num, den) } - function _distance2d (x1, y1, x2, y2) { - const yDiff = subtract(y2, y1) - const xDiff = subtract(x2, x1) - const radicant = addScalar(multiplyScalar(yDiff, yDiff), multiplyScalar(xDiff, xDiff)) - return sqrt(radicant) - } - - function _distance3d (x1, y1, z1, x2, y2, z2) { - const zDiff = subtract(z2, z1) - const yDiff = subtract(y2, y1) - const xDiff = subtract(x2, x1) - const radicant = addScalar(addScalar(multiplyScalar(zDiff, zDiff), multiplyScalar(yDiff, yDiff)), multiplyScalar(xDiff, xDiff)) - return sqrt(radicant) + function _euclideanDistance (x, y) { + const vectorSize = x.length + let result = 0 + let diff = 0 + for (let i = 0; i < vectorSize; i++) { + diff = subtract(x[i], y[i]) + result = addScalar(multiplyScalar(diff, diff), result) + } + return sqrt(result) } function _distancePairwise (a) { const result = [] + let pointA = [] + let pointB = [] for (let i = 0; i < a.length - 1; i++) { for (let j = i + 1; j < a.length; j++) { if (a[0].length === 2) { - result.push(_distance2d(a[i][0], a[i][1], a[j][0], a[j][1])) + pointA = [a[i][0], a[i][1]] + pointB = [a[j][0], a[j][1]] } else if (a[0].length === 3) { - result.push(_distance3d(a[i][0], a[i][1], a[i][2], a[j][0], a[j][1], a[j][2])) + pointA = [a[i][0], a[i][1], a[i][2]] + pointB = [a[j][0], a[j][1], a[j][2]] } + result.push(_euclideanDistance(pointA, pointB)) } } return result diff --git a/src/function/probability/gamma.js b/src/function/probability/gamma.js index 08baa8367d..351354dcb9 100644 --- a/src/function/probability/gamma.js +++ b/src/function/probability/gamma.js @@ -99,23 +99,29 @@ export const createGamma = /* #__PURE__ */ factory(name, dependencies, ({ typed, * @param {BigNumber} n * @returns {BigNumber} Returns the factorial of n */ - function bigFactorial (n) { - if (n.isZero()) { - return new BigNumber(1) // 0! is per definition 1 + if (n < 8) { + return new BigNumber([1, 1, 2, 6, 24, 120, 720, 5040][n]) } const precision = config.precision + (Math.log(n.toNumber()) | 0) const Big = BigNumber.clone({ precision: precision }) - let res = new Big(n) - let value = n.toNumber() - 1 // number - while (value > 1) { - res = res.times(value) - value-- + if (n % 2 === 1) { + return n.times(bigFactorial(new BigNumber(n - 1))) + } + + let p = n + let prod = new Big(n) + let sum = n.toNumber() + + while (p > 2) { + p -= 2 + sum += p + prod = prod.times(sum) } - return new BigNumber(res.toPrecision(BigNumber.precision)) + return new BigNumber(prod.toPrecision(BigNumber.precision)) } return gamma diff --git a/src/function/statistics/mean.js b/src/function/statistics/mean.js index 0023d8c5d1..557d71e039 100644 --- a/src/function/statistics/mean.js +++ b/src/function/statistics/mean.js @@ -76,12 +76,12 @@ export const createMean = /* #__PURE__ */ factory(name, dependencies, ({ typed, * @private */ function _mean (array) { - let sum = 0 + let sum let num = 0 deepForEach(array, function (value) { try { - sum = add(sum, value) + sum = sum === undefined ? value : add(sum, value) num++ } catch (err) { throw improveErrorMessage(err, 'mean', value) @@ -89,9 +89,8 @@ export const createMean = /* #__PURE__ */ factory(name, dependencies, ({ typed, }) if (num === 0) { - throw new Error('Cannot calculate mean of an empty array') + throw new Error('Cannot calculate the mean of an empty array') } - return divide(sum, num) } }) diff --git a/src/function/utils/isPrime.js b/src/function/utils/isPrime.js index 6899e4231c..da112e3b68 100644 --- a/src/function/utils/isPrime.js +++ b/src/function/utils/isPrime.js @@ -35,38 +35,36 @@ export const createIsPrime = /* #__PURE__ */ factory(name, dependencies, ({ type */ const isPrime = typed(name, { number: function (x) { - if (x < 2) { + if (x * 0 !== 0) { return false } - if (x === 2) { - return true + if (x <= 3) { + return x > 1 } - if (x % 2 === 0) { + if (x % 2 === 0 || x % 3 === 0) { return false } - for (let i = 3; i * i <= x; i += 2) { - if (x % i === 0) { + for (let i = 5; i * i <= x; i += 6) { + if (x % i === 0 || x % (i + 2) === 0) { return false } } return true }, - BigNumber: function (x) { - if (x.lt(2)) { + BigNumber: function (n) { + if (n.toNumber() * 0 !== 0) { return false } - if (x.equals(2)) { - return true - } - if (x.mod(2).isZero()) { - return false - } - for (let i = new x.constructor(3); i.times(i).lte(x); i = i.plus(1)) { - if (x.mod(i).isZero()) { + if (n.lte(3)) return n.gt(1) + if (n.mod(2).eq(0) || n.mod(3).eq(0)) return false + + for (let i = 5; n.gte(i * i); i += 6) { + if (n.mod(i).eq(0) || n.mod(i + 2).eq(0)) { return false } } + return true }, diff --git a/src/header.js b/src/header.js index fc4acf3ded..9f404eca3a 100644 --- a/src/header.js +++ b/src/header.js @@ -10,7 +10,7 @@ * @date @@date * * @license - * Copyright (C) 2013-2019 Jos de Jong + * Copyright (C) 2013-2020 Jos de Jong * * Licensed under the Apache License, Version 2.0 (the "License"); you may not * use this file except in compliance with the License. You may obtain a copy diff --git a/src/type/unit/Unit.js b/src/type/unit/Unit.js index 6de54bf73f..76f9116e07 100644 --- a/src/type/unit/Unit.js +++ b/src/type/unit/Unit.js @@ -3095,11 +3095,24 @@ export const createUnitClass = /* #__PURE__ */ factory(name, dependencies, ({ * createUnitSingle('acre', new Unit(43560, 'ft^2')) * * @param {string} name The name of the new unit. Must be unique. Example: 'knot' - * @param {string, Unit} definition Definition of the unit in terms of existing units. For example, '0.514444444 m / s'. - * @param {Object} options (optional) An object containing any of the following properties: - * prefixes {string} "none", "short", "long", "binary_short", or "binary_long". The default is "none". - * aliases {Array} Array of strings. Example: ['knots', 'kt', 'kts'] - * offset {Numeric} An offset to apply when converting from the unit. For example, the offset for celsius is 273.15 and the offset for farhenheit is 459.67. Default is 0. + * @param {string, Unit, Object} definition Definition of the unit in terms + * of existing units. For example, '0.514444444 m / s'. Can be a Unit, a string, + * or an Object. If an Object, may have the following properties: + * - definition {string|Unit} The definition of this unit. + * - prefixes {string} "none", "short", "long", "binary_short", or "binary_long". + * The default is "none". + * - aliases {Array} Array of strings. Example: ['knots', 'kt', 'kts'] + * - offset {Numeric} An offset to apply when converting from the unit. For + * example, the offset for celsius is 273.15 and the offset for farhenheit + * is 459.67. Default is 0. + * - baseName {string} If the unit's dimension does not match that of any other + * base unit, the name of the newly create base unit. Otherwise, this property + * has no effect. + * + * @param {Object} options (optional) An object containing any of the following + * properties: + * - override {boolean} Whether this unit should be allowed to override existing + * units. * * @return {Unit} */ @@ -3126,6 +3139,7 @@ export const createUnitClass = /* #__PURE__ */ factory(name, dependencies, ({ let offset = 0 let definition let prefixes + let baseName if (obj && obj.type === 'Unit') { defUnit = obj.clone() } else if (typeof (obj) === 'string') { @@ -3136,6 +3150,7 @@ export const createUnitClass = /* #__PURE__ */ factory(name, dependencies, ({ definition = obj.definition prefixes = obj.prefixes offset = obj.offset + baseName = obj.baseName if (obj.aliases) { aliases = obj.aliases.valueOf() // aliases could be a Matrix, so convert to Array } @@ -3171,7 +3186,7 @@ export const createUnitClass = /* #__PURE__ */ factory(name, dependencies, ({ let newUnit = {} if (!defUnit) { // Add a new base dimension - const baseName = name + '_STUFF' // foo --> foo_STUFF, or the essence of foo + baseName = baseName || name + '_STUFF' // foo --> foo_STUFF, or the essence of foo if (BASE_DIMENSIONS.indexOf(baseName) >= 0) { throw new Error('Cannot create new base unit "' + name + '": a base unit with that name already exists (and cannot be overridden)') } @@ -3234,7 +3249,7 @@ export const createUnitClass = /* #__PURE__ */ factory(name, dependencies, ({ } } if (!anyMatch) { - const baseName = name + '_STUFF' // foo --> foo_STUFF, or the essence of foo + baseName = baseName || name + '_STUFF' // foo --> foo_STUFF, or the essence of foo // Add the new base unit const newBaseUnit = { dimensions: defUnit.dimensions.slice(0) } newBaseUnit.key = baseName diff --git a/src/utils/customs.js b/src/utils/customs.js index f9dc173035..c132d80f33 100644 --- a/src/utils/customs.js +++ b/src/utils/customs.js @@ -96,7 +96,7 @@ function validateSafeMethod (object, method) { * @return {boolean} Returns true when safe, false otherwise */ function isSafeMethod (object, method) { - if (!object || typeof object[method] !== 'function') { + if (object === null || object === undefined || typeof object[method] !== 'function') { return false } // UNSAFE: ghosted diff --git a/src/utils/noop.js b/src/utils/noop.js index f68303c2dd..4ace81b085 100644 --- a/src/utils/noop.js +++ b/src/utils/noop.js @@ -11,8 +11,8 @@ export function noMatrix () { throw new Error('No "matrix" implementation available') } -export function noIndexClass () { - throw new Error('No "Index" implementation available') +export function noIndex () { + throw new Error('No "index" implementation available') } export function noSubset () { diff --git a/src/version.js b/src/version.js index 89658b2db9..275696ffdb 100644 --- a/src/version.js +++ b/src/version.js @@ -1,3 +1,3 @@ -export const version = '6.2.1' +export const version = '6.5.0' // Note: This file is automatically generated when building math.js. // Changes made in this file will be overwritten. diff --git a/test/benchmark/factorial.js b/test/benchmark/factorial.js new file mode 100644 index 0000000000..370104445b --- /dev/null +++ b/test/benchmark/factorial.js @@ -0,0 +1,99 @@ +const Benchmark = require('benchmark') +const BigNumber = require('decimal.js') +const padRight = require('pad-right') + +function pad (text) { + return padRight(text, 40, ' ') +} + +const results = [] + +function bigFactorial (n) { + if (n.isZero()) { + return new BigNumber(1) // 0! is per definition 1 + } + + let res = new BigNumber(n) + let value = n.toNumber() - 1 // number + while (value > 1) { + res = res.times(value) + value-- + } + + return new BigNumber(res) +} + +function betterFactorial (n) { + if (n < 8) { + return new BigNumber([1, 1, 2, 6, 24, 120, 720, 5040][n]) + } + + if (n % 2 === 1) { + return n.times(betterFactorial(new BigNumber(n - 1))) + } + + let p = n + let prod = n + let sum = n.toNumber() + + while (p > 2) { + p -= 2 + sum += p + prod = prod.times(sum) + } + + return prod +} + +const suite = new Benchmark.Suite() +suite + .add(pad('bigFactorial for small numbers'), function () { + const res = bigFactorial(new BigNumber(8)) + results.push(res) + }) + .add(pad('new bigFactorial for small numbers'), function () { + const res = betterFactorial(new BigNumber(8)) + results.push(res) + }) + + .add(pad('bigFactorial for small numbers 2'), function () { + const res = bigFactorial(new BigNumber(20)) + results.push(res) + }) + .add(pad('new bigFactorial for small numbers 2'), function () { + const res = betterFactorial(new BigNumber(20)) + results.push(res) + }) + + .add(pad('bigFactorial for big numbers'), function () { + const res = bigFactorial(new BigNumber(600)) + results.push(res) + }) + .add(pad('new bigFactorial for big numbers'), function () { + const res = betterFactorial(new BigNumber(600)) + results.push(res) + }) + + .add(pad('bigFactorial for HUGE numbers'), function () { + const res = bigFactorial(new BigNumber(1500)) + results.push(res) + }) + .add(pad('new bigFactorial for HUGE numbers'), function () { + const res = betterFactorial(new BigNumber(1500)) + results.push(res) + }) + + .add(pad('bigFactorial for "HUGER" numbers'), function () { + const res = bigFactorial(new BigNumber(10000)) + results.push(res) + }) + .add(pad('new bigFactorial for "HUGER" numbers'), function () { + const res = betterFactorial(new BigNumber(10000)) + results.push(res) + }) + .on('cycle', function (event) { + console.log(String(event.target)) + }) + .on('complete', function () { + }) + .run() diff --git a/test/benchmark/index.js b/test/benchmark/index.js index 7ecda753c9..6eca85dba7 100644 --- a/test/benchmark/index.js +++ b/test/benchmark/index.js @@ -2,3 +2,4 @@ require('./expression_parser') require('./algebra') require('./matrix_operations') +require('./prime') diff --git a/test/benchmark/prime.js b/test/benchmark/prime.js new file mode 100644 index 0000000000..5d14820ead --- /dev/null +++ b/test/benchmark/prime.js @@ -0,0 +1,32 @@ +const assert = require('assert') +const { isPrime } = require('../../') +const { Suite } = require('benchmark') + +const primes = [2147483647, 87178291199, 4398042316799] +const notPrimes = [2199023255551, 8796093022207, 140737488355327] +const carmichaels = [41041, 825265, 321197185] // more challenging numbers + +// validate that the function does what we think it does +const primesResults = primes.map(num => isPrime(num)) +const notPrimesResults = notPrimes.map(num => isPrime(num)) +const carmichaelsResults = carmichaels.map(num => isPrime(num)) +assert(primesResults.every(result => result === true)) +assert(notPrimesResults.every(result => result === false)) +assert(carmichaelsResults.every(result => result === false)) + +new Suite() + .add('primes', () => { + primes.forEach(num => isPrime(num)) + }) + .add('not primes', () => { + notPrimes.forEach(num => isPrime(num)) + }) + .add('carmichaels', () => { + carmichaels.forEach(num => isPrime(num)) + }) + .on('cycle', function (event) { + console.log(String(event.target)) + }) + .on('complete', function () { + }) + .run() diff --git a/test/browser-test-config/browserstack-karma.js b/test/browser-test-config/browserstack-karma.js index 142d679eee..97e0a47a25 100644 --- a/test/browser-test-config/browserstack-karma.js +++ b/test/browser-test-config/browserstack-karma.js @@ -32,30 +32,30 @@ module.exports = function (config) { base: 'BrowserStack', browser: 'Android Browser', real_mobile: true, - device: 'Samsung Galaxy S9', + device: 'Samsung Galaxy S10', os: 'android', - os_version: '8.0' + os_version: '9.0' }, bs_firefox_windows: { base: 'BrowserStack', browser: 'firefox', - browser_version: '67', + browser_version: '71', os: 'Windows', os_version: '10' }, bs_chrome_mac: { base: 'BrowserStack', browser: 'Chrome', - browser_version: '74', + browser_version: '78', os: 'OS X', os_version: 'High Sierra' }, bs_safari_mac: { base: 'BrowserStack', browser: 'Safari', - browser_version: '12', + browser_version: '13', os: 'OS X', - os_version: 'Mojave' + os_version: 'Catalina' }, bs_ie_11: { base: 'BrowserStack', diff --git a/test/generated-code-tests/entry/mainNumber.test.js b/test/generated-code-tests/entry/mainNumber.test.js index 7d6d3b5f9d..39ce8c486f 100644 --- a/test/generated-code-tests/entry/mainNumber.test.js +++ b/test/generated-code-tests/entry/mainNumber.test.js @@ -173,12 +173,12 @@ describe('mainNumber', function () { // TODO: implement support for subset in number implementation assert.throws(function () { evaluate('A[2]', { A: [10, 20, 30] }) - }, /No "Index" implementation available/) + }, /No "index" implementation available/) assert.throws(function () { const scope = { A: [10, 20, 30] } evaluate('A[2] = 200', scope) - }, /No "Index" implementation available/) + }, /No "index" implementation available/) }) it('should export reviver', () => { diff --git a/test/unit-tests/expression/node/IndexNode.test.js b/test/unit-tests/expression/node/IndexNode.test.js index d85f1982cc..15a82942f5 100644 --- a/test/unit-tests/expression/node/IndexNode.test.js +++ b/test/unit-tests/expression/node/IndexNode.test.js @@ -96,6 +96,16 @@ describe('IndexNode', function () { assert.deepStrictEqual(f.dimensions[1], e) }) + it('should copy dotNotation property when mapping an IndexNode', function () { + const b = new ConstantNode('objprop') + const n = new IndexNode([b], true) + const f = n.map(function (node, path, parent) { + return node + }) + + assert.strictEqual(n.dotNotation, f.dotNotation) + }) + it('should throw an error when the map callback does not return a node', function () { const b = new ConstantNode(2) const c = new ConstantNode(1) @@ -149,6 +159,14 @@ describe('IndexNode', function () { assert.strictEqual(d.dimensions[1], n.dimensions[1]) }) + it('should clone an IndexNode with dotNotation property', function () { + const b = new ConstantNode('objprop') + const n = new IndexNode([b], true) + const f = n.clone() + + assert.strictEqual(n.dotNotation, f.dotNotation) + }) + it('test equality another Node', function () { const a = new IndexNode([new ConstantNode(2), new ConstantNode(1)]) const b = new IndexNode([new ConstantNode(2), new ConstantNode(1)]) diff --git a/test/unit-tests/function/algebra/decomposition/qr.test.js b/test/unit-tests/function/algebra/decomposition/qr.test.js index 7aecb540a5..64154299af 100644 --- a/test/unit-tests/function/algebra/decomposition/qr.test.js +++ b/test/unit-tests/function/algebra/decomposition/qr.test.js @@ -88,7 +88,16 @@ function assertValidQRDecomposition (A, Q, R) { assert(!math.isNegative(math.re(diagonalElement)), 'R has elements on the leading diagonal with a negative real part (R[' + i + '][' + i + '] = ' + diagonalElement + ')') } + + const raw = math.qr._denseQRimpl(Array.isArray(A) ? math.matrix(A) : A) + + for (let i = 0; i < raw.R._data.length; ++i) { + for (let j = 0; j < i && j < (raw.R._data[0] || []).length; ++j) { + approx.equal(raw.R._data[i][j], 0, 1e-10) + } + } } + describe('qr', function () { it('should decompose matrix, n x n, no permutations, array', function () { const m = [[15, 42], [20, 81]] @@ -148,8 +157,8 @@ describe('qr', function () { r.R.valueOf(), [ [223.0582883463423, -0, 34.912399165855504], - [-0, -0, 14.305351889173245], - [-0, -0, 18.781141919779493] + [0, -0, 14.305351889173245], + [0, 0, 18.781141919779493] ]) // verify assertValidQRDecomposition(m, r.Q, r.R) @@ -226,50 +235,15 @@ describe('qr', function () { math.matrix( [ [12.24744871391589, 6.858571279792898], - [-0, 94.62008243496727], - [-0, -0], - [-0, -0] + [0, 94.62008243496727], + [0, 0], + [0, 0] ] )) // verify assertValidQRDecomposition(m, r.Q, r.R) }) - /* - it('should decompose matrix, n x n, dense format', function () { - const m = math.matrix( - [ - [16, -120, 240, -140], - [-120, 1200, -2700, 1680], - [240, -2700, 6480, -4200], - [-140, 1680, -4200, 2800] - ] - ) - const r = math.lup(m) - // L - approx.deepEqual( - r.L.valueOf(), - [ - [1, 0, 0, 0], - [-0.5, 1, 0, 0], - [-0.5833333333333334, -0.7, 1, 0], - [0.06666666666666667, -0.4, -0.5714285714285776, 1] - ]) - // U - approx.deepEqual( - r.U.valueOf(), - [ - [240, -2700, 6480, -4200], - [0, -150, 540, -420], - [0, 0, -42, 56], - [0, 0, 0, 4] - ]) - // P - assert.deepStrictEqual(r.p, [3, 1, 0, 2]) - // verify - approx.deepEqual(math.multiply(_p(r.p), m).valueOf(), math.multiply(r.L, r.U).valueOf()) - }) -/* it('should decompose matrix, 3 x 3, zero pivote value, dense format', function () { const m = math.matrix( [ @@ -278,30 +252,31 @@ describe('qr', function () { [4, 8, 9] ]) - const r = math.lup(m) - // L + const r = math.qr(m) + + // Q approx.deepEqual( - r.L.valueOf(), - [ - [1, 0, 0], - [0.5, 1, 0], - [0.25, 0, 1.0] + r.Q.valueOf(), + [[0.21821789023599236, 0.9759000729485332, 1.1102230246251565e-16], + [0.4364357804719848, -0.09759000729485323, 0.8944271909999157], + [0.8728715609439696, -0.19518001458970657, -0.447213595499958] ]) - // U + + // R approx.deepEqual( - r.U.valueOf(), + r.R.valueOf(), [ - [4, 8, 9], - [0, 0, 1.5], - [0, 0, 0.75] - ]) - // P - assert.deepStrictEqual(r.p, [2, 1, 0]) + [4.582575694955841, 9.165151389911681, 11.129112402035613], + [0, 1.9860273225978185e-15, 0.5855400437691207], + [0, 0, 1.3416407864998738] + ] + ) + // verify - approx.deepEqual(math.multiply(_p(r.p), m).valueOf(), math.multiply(r.L, r.U).valueOf()) + assertValidQRDecomposition(m, r.Q, r.R) }) -*/ - it('should decompose matrix, n x n, complex numbers, dense format', function () { + + it('should decompose matrix, n x n, dense format', function () { const m = math.matrix( [ [math.complex(24, 3), math.complex(10)], @@ -325,8 +300,8 @@ describe('qr', function () { r.R, math.matrix([ [math.complex(241.44175128417413, 0), math.complex(3.3948782289740067, -0.8870876675671249)], - [math.complex(0, -0), math.complex(14.254103875042043, -4.440892098500626e-16)], - [math.complex(0, -0), math.complex(0, 0)] + [math.complex(0, 0), math.complex(14.254103875042043, -4.440892098500626e-16)], + [math.complex(0, 0), math.complex(0, 0)] ])) // verify @@ -377,8 +352,8 @@ describe('qr', function () { math.complex(33.83280850600839, 2.9469680307519037) ], [ - math.complex(-0, 0), - math.complex(-0, 0), + math.complex(0, 0), + math.complex(0, 0), math.complex(25.372653909655675, 5.329070518200751e-15), math.complex(46.75701662904174, -52.038112884483404), math.complex(-25.7821433027293, -35.64391269354021), @@ -401,4 +376,61 @@ describe('qr', function () { // verify assertValidQRDecomposition(m, r.Q, r.R) }) + + it('Prevent regression: #1669', function () { + const m = math.evaluate(`[ + [0, 1], + [1, 0] + ]`) + + const r = math.qr(m) + + // Q + assert.deepStrictEqual( + r.Q, + math.evaluate(`[ + [-0, 1], + [1, 0] + ]`)) + + // R + assert.deepStrictEqual( + r.R, + math.evaluate(`[ + [1, -0], + [0, 1] + ]`) + ) + + assertValidQRDecomposition(m, r.Q, r.R) + }) + + it('Prevent regression for complex matricies: #1669', function () { + const m = math.evaluate(`[ + [0, 1], + [i, 0] + ]`) + + const r = math.qr(m) + + // Q + approx.deepEqual( + r.Q, + math.evaluate(`complex([ + [0, 1], + [i, 0] + ])`) + ) + + // R + assert.deepStrictEqual( + r.R, + math.evaluate(`complex([ + [1, -0], + [0, 1] + ])`) + ) + + assertValidQRDecomposition(m, r.Q, r.R) + }) }) diff --git a/test/unit-tests/function/arithmetic/sign.test.js b/test/unit-tests/function/arithmetic/sign.test.js index bd49fa189e..2bed176bcc 100644 --- a/test/unit-tests/function/arithmetic/sign.test.js +++ b/test/unit-tests/function/arithmetic/sign.test.js @@ -74,6 +74,22 @@ describe('sign', function () { assert.throws(function () { math.sign(null) }, /TypeError: Unexpected type of argument/) }) + describe('sign(0) should return 0', function () { + it('number', function () { + assert.strictEqual(math.sign(0), 0) + }) + it('bignumber', function () { + assert.deepStrictEqual(math.sign(math.bignumber(0)), math.bignumber(0)) + }) + it('complex', function () { + assert.deepStrictEqual(math.sign(math.complex(0)), math.complex(0)) + }) + }) + + it('should throw an in case of wrong type of arguments', function () { + assert.throws(function () { math.sign(null) }, /TypeError: Unexpected type of argument/) + }) + it('should LaTeX sign', function () { const expression = math.parse('sign(-4)') assert.strictEqual(expression.toTex(), '\\mathrm{sign}\\left(-4\\right)') diff --git a/test/unit-tests/function/geometry/distance.test.js b/test/unit-tests/function/geometry/distance.test.js index 77caec1589..7fb3c46659 100644 --- a/test/unit-tests/function/geometry/distance.test.js +++ b/test/unit-tests/function/geometry/distance.test.js @@ -2,6 +2,10 @@ import assert from 'assert' import math from '../../../../src/bundleAny' describe('distance', function () { + it('should calculate the distance of two 1D points', function () { + assert.strictEqual(math.distance([1], [2]), 1) + }) + it('should calculate the distance of two 2D points', function () { assert.strictEqual(math.distance([0, 0], [10, 10]), 14.142135623730951) assert.strictEqual(math.distance(math.matrix([0, 0]), math.matrix([10, 10])), 14.142135623730951) @@ -18,6 +22,11 @@ describe('distance', function () { assert.strictEqual(math.distance({ pointOneX: 4, pointOneY: 5, pointOneZ: 8 }, { pointTwoX: 2, pointTwoY: 7, pointTwoZ: 9 }), 3) }) + it('should calculate distance between two N dimensional points', function () { + assert.strictEqual(math.distance([10, 2, -5, 13, -6, 12, 0, 16, 8], [1, 11, 4, 4, 3, 3, -9, 7, 17]), 27) + assert.strictEqual(math.distance(math.matrix([10, 2, -5, 13, -6, 12, 0, 16, 8]), math.matrix([1, 11, 4, 4, 3, 3, -9, 7, 17])), 27) + }) + it('should calculate distance for inputs passed as objects', function () { assert.deepStrictEqual(math.distance({ pointX: 1, pointY: 4 }, { lineOnePtX: 6, lineOnePtY: 3 }, { lineTwoPtX: 2, lineTwoPtY: 8 }), 2.720549372624744) assert.deepStrictEqual(math.distance({ pointX: 10, pointY: 10 }, { xCoeffLine: 8, yCoeffLine: 1, constant: 3 }), 11.535230316796387) @@ -40,9 +49,27 @@ describe('distance', function () { assert.throws(function () { math.distance(0.5) }, TypeError) assert.throws(function () { math.distance('1') }, TypeError) assert.throws(function () { math.distance(['abc', 'def'], [1, 3]) }, TypeError) - assert.throws(function () { math.distance(['2', '3'], math.matrix(['a', 'c']), [1, -0.445364786543434]) }, TypeError) + assert.throws(function () { math.distance([1, 3], ['abc', 'def']) }, TypeError) + assert.throws(function () { math.distance(['2', '3'], math.matrix([1, 2]), [1, 2]) }, TypeError) + assert.throws(function () { math.distance([2, 3], math.matrix(['a', 'b']), [1, 2]) }, TypeError) + assert.throws(function () { math.distance([2, 3], math.matrix([1, 2]), ['a', 'b']) }, TypeError) + assert.throws(function () { math.distance({ pointX: 'l', pointY: 4 }, { lineOnePtX: 1, lineOnePtY: 3 }, { lineTwoPtX: 2, lineTwoPtY: 8 }) }, TypeError) assert.throws(function () { math.distance({ pointX: 1, pointY: 4 }, { lineOnePtX: 'l', lineOnePtY: 3 }, { lineTwoPtX: 2, lineTwoPtY: 8 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 1, pointY: 4 }, { lineOnePtX: 1, lineOnePtY: 3 }, { lineTwoPtX: 'l', lineTwoPtY: 8 }) }, TypeError) + assert.throws(function () { math.distance({ wrongkeyname: 1, pointY: 4 }, { lineOnePtX: 1, lineOnePtY: 3 }, { lineTwoPtX: 2, lineTwoPtY: 8 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 1, pointY: 4 }, { wrongkeyname: 1, lineOnePtY: 3 }, { lineTwoPtX: 2, lineTwoPtY: 8 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 1, pointY: 4 }, { lineOnePtX: 1, lineOnePtY: 3 }, { wrongkeyname: 2, lineTwoPtY: 8 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 'a', pointY: 'b', pointZ: 'c' }, { x0: 1, y0: 1, z0: 2, a: 5, b: 0, c: 1 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 2, pointY: 3, pointZ: 1 }, { x0: 'a', y0: 'b', z0: 'c', a: 5, b: 0, c: 1 }) }, TypeError) assert.throws(function () { math.distance({ wrongkeyname: 2, english: 3, pointZ: 1 }, { x0: 1, y0: 1, z0: 2, a: 5, b: 0, c: 1 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 2, pointY: 3, pointZ: 1 }, { wrongkeyname: 1, y0: 1, z0: 2, a: 5, b: 0, c: 1 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 'a', pointY: 'b' }, { xCoeffLine: 8, yCoeffLine: 1, constant: 3 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 10, pointY: 10 }, { xCoeffLine: 'a', yCoeffLine: 'b', constant: 'c' }) }, TypeError) + assert.throws(function () { math.distance({ wrongkeyname: 10, pointY: 10 }, { xCoeffLine: 8, yCoeffLine: 1, constant: 3 }) }, TypeError) + assert.throws(function () { math.distance({ pointX: 10, pointY: 10 }, { wrongkeyname: 8, yCoeffLine: 1, constant: 3 }) }, TypeError) + assert.throws(function () { math.distance(['a', ' b', 'c', 'd'], [1, 2, 3, 4]) }, TypeError) + assert.throws(function () { math.distance([1, 2, 3, 4], ['a', ' b', 'c', 'd']) }, TypeError) + assert.throws(function () { math.distance({ pointX: 10, pointY: 10 }, { xCoeffLine: 8, yCoeffLine: 1, constant: 3, extraElement: 4 }) }, TypeError) }) it('should throw an error for unsupported number of parameters', function () { @@ -50,6 +77,7 @@ describe('distance', function () { assert.throws(function () { math.distance([9, 4, 3.6]) }, TypeError) assert.throws(function () { math.distance([[1, 2, 4], math.matrix([1, 2]), [8, 1, 3]]) }, TypeError) assert.throws(function () { math.distance([-0.5, 4.3], [3.2, -4.654323, 3.3, 6.5, 3.4]) }, TypeError) + assert.throws(function () { math.distance([1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6]) }, TypeError) }) it('should calculate pairwise distance between more than two 2D points accurately', function () { @@ -63,7 +91,7 @@ describe('distance', function () { assert.deepStrictEqual(math.distance([[0, 0, 0], [1, 0, 0], [0, 1, 0], [0, 0, 1]]), [1, 1, 1, 1.4142135623730951, 1.4142135623730951, 1.4142135623730951]) assert.deepStrictEqual(math.distance([[1, 2, 4], [1, 2, 6], [8, 1, 3]]), [2, 7.14142842854285, 7.681145747868608]) assert.deepStrictEqual(math.distance([[-41, 52, 24], [61, -28, 60], [-38, 11, 53]]), [134.5362404707371, 50.309044912421065, 106.63489110042735]) - assert.deepStrictEqual(math.distance([[3.1, 5.2, 4.5], [4.1, 0.2, 6.4], [-5.8, -4.1, 3021]]), [5.441507144165116, 3016.527465480797, 3014.6193225679426]) + assert.deepStrictEqual(math.distance([[3.1, 5.2, 4.5], [4.1, 0.2, 6.4], [-5.8, -4.1, 3021]]), [5.441507144165116, 3016.5274654807968, 3014.6193225679426]) }) it('should calculate distance between a point and a line segment given by an equation in 2D accurately', function () { @@ -96,6 +124,8 @@ describe('distance', function () { assert.deepStrictEqual(bigmath.evaluate('distance([1, 2], [4, 6])'), bignumber(5)) assert.deepStrictEqual(bigdistance([bignumber(1), bignumber(2)], [bignumber(4), bignumber(6)]), bignumber(5)) assert.deepStrictEqual(bigdistance([bignumber(1), 2], [4, bignumber(6)]), bignumber(5)) + assert.deepStrictEqual(bigdistance([bignumber(10), bignumber(2), bignumber(-5), bignumber(13), bignumber(-6), bignumber(12), bignumber(0), bignumber(16), bignumber(8)], + [bignumber(1), bignumber(11), bignumber(4), bignumber(4), bignumber(3), bignumber(3), bignumber(-9), bignumber(7), bignumber(17)]), bignumber(27)) assert.deepStrictEqual(bigmath.evaluate('distance([3, 5], [10, 1])'), bignumber('8.0622577482985496523666132303038')) assert.deepStrictEqual(bigmath.evaluate('distance([1, 2, 3], [-2, -3, -4])'), bignumber('9.1104335791442988819456261046887')) assert.deepStrictEqual(bigmath.evaluate('distance({pointOneX: 0, pointOneY: 0}, {pointTwoX: 10, pointTwoY: 10})'), bignumber('14.142135623730950488016887242097')) @@ -110,5 +140,6 @@ describe('distance', function () { assert.deepStrictEqual(bigmath.evaluate('distance([2, 3, 1], [1, 1, 2, 5, 0, 1])'), bignumber('2.3204774044612855517320588018918')) assert.deepStrictEqual(bigmath.evaluate('distance({pointX: 2, pointY: 3, pointZ: 1}, {x0: 1, y0: 1, z0: 2, a: 5, b: 0, c: 1})'), bignumber('2.3204774044612855517320588018918')) + assert.deepStrictEqual(bigmath.evaluate('distance([10, 2, -5, 13, -6, 12, 0, 16, 8], [1, 11, 4, 4, 3, 3, -9, 7, 17])'), bignumber(27)) }) }) diff --git a/test/unit-tests/function/statistics/mean.test.js b/test/unit-tests/function/statistics/mean.test.js index 148b4c1452..13930a68b9 100644 --- a/test/unit-tests/function/statistics/mean.test.js +++ b/test/unit-tests/function/statistics/mean.test.js @@ -1,4 +1,5 @@ import assert from 'assert' +import approx from '../../../../tools/approx' import math from '../../../../src/bundleAny' const BigNumber = math.BigNumber const Complex = math.Complex @@ -50,6 +51,26 @@ describe('mean', function () { ])), 5) }) + it('should compute the mean of quantities with units', function () { + const a = math.unit(10, 'cm') + const b = math.unit(20, 'cm') + const c = math.unit(15, 'cm') + approx.equal(mean(a, b).toNumber('cm'), c.toNumber('cm')) + }) + + it('should compute the mean of quantities with compatible units', function () { + const a = math.unit(1, 'm') + const b = math.unit(50, 'cm') + const c = math.unit(0.75, 'm') + approx.equal(mean(a, b).toNumber('cm'), c.toNumber('cm')) + }) + + it('should not compute the mean of quantities with incompatible units', function () { + const a = math.unit(1, 'm') + const b = math.unit(50, 'kg') + assert.throws(function () { mean(a, b) }, /Units do not match/) + }) + const inputMatrix = [ // this is a 4x3x2 matrix, full test coverage [[10, 20], [30, 40], [50, 60]], [[70, 80], [90, 100], [110, 120]], diff --git a/test/unit-tests/type/unit/Unit.test.js b/test/unit-tests/type/unit/Unit.test.js index 768800ab48..037b7ad771 100644 --- a/test/unit-tests/type/unit/Unit.test.js +++ b/test/unit-tests/type/unit/Unit.test.js @@ -1164,6 +1164,16 @@ describe('Unit', function () { assert.strictEqual('jabberwocky_STUFF' in Unit.BASE_UNITS, true) assert.strictEqual(math.evaluate('4 mile^5/minute').format(4), '240 jabberwocky') }) + + it('should use baseName', function () { + Unit.createUnitSingle('truck', { baseName: 'VEHICLE' }) + Unit.createUnitSingle('speedy', { definition: '1 truck/day', baseName: 'VEHICLE_PRODUCTION_RATE' }) + assert('VEHICLE' in Unit.BASE_UNITS) + assert('VEHICLE_PRODUCTION_RATE' in Unit.BASE_UNITS) + assert(new Unit(1, 'truck').hasBase('VEHICLE')) + assert(new Unit(1, 'truck/day').hasBase('VEHICLE_PRODUCTION_RATE')) + assert.strictEqual(math.evaluate('10 truck/hr').format(4), '240 speedy') + }) }) describe('createUnit', function () { diff --git a/test/unit-tests/utils/customs.test.js b/test/unit-tests/utils/customs.test.js index 66bfd61acb..7e2e233737 100644 --- a/test/unit-tests/utils/customs.test.js +++ b/test/unit-tests/utils/customs.test.js @@ -40,11 +40,12 @@ describe('customs', function () { assert.strictEqual(isSafeMethod(object3, 'toString'), false) }) - it('function objects', function () { + it('functions', function () { const f = function () {} assert.strictEqual(isSafeMethod(f, 'call'), false) assert.strictEqual(isSafeMethod(f, 'bind'), false) + assert.strictEqual(isSafeMethod(f, 'constructor'), false) }) it('classes', function () { @@ -86,6 +87,27 @@ describe('customs', function () { // method with unicode chars assert.strictEqual(isSafeMethod(matrix, 'co\u006Estructor'), false) }) + + it('strings', function () { + assert.strictEqual(isSafeMethod('abc', 'toUpperCase'), true) + assert.strictEqual(isSafeMethod('', 'toUpperCase'), true) + assert.strictEqual(isSafeMethod('abc', 'constructor'), false) + assert.strictEqual(isSafeMethod('abc', '__proto__'), false) + }) + + it('numbers', function () { + assert.strictEqual(isSafeMethod(3.14, 'toFixed'), true) + assert.strictEqual(isSafeMethod(0, 'toFixed'), true) + assert.strictEqual(isSafeMethod(3.14, 'constructor'), false) + assert.strictEqual(isSafeMethod(3.14, '__proto__'), false) + }) + + it('dates', function () { + assert.strictEqual(isSafeMethod(new Date(), 'getTime'), true) + assert.strictEqual(isSafeMethod(new Date(0), 'getTime'), true) + assert.strictEqual(isSafeMethod(new Date(), 'constructor'), false) + assert.strictEqual(isSafeMethod(new Date(), '__proto__'), false) + }) }) describe('isSafeProperty', function () { diff --git a/tools/approx.js b/tools/approx.js index 508e0131bb..62b33a0762 100644 --- a/tools/approx.js +++ b/tools/approx.js @@ -40,19 +40,19 @@ exports.equal = function equal (a, b, epsilon) { assert.ok(diff <= maxDiff, (a + ' ~= ' + b)) } } else if (a && a.isBigNumber) { - return exports.equal(a.toNumber(), b) + return exports.equal(a.toNumber(), b, epsilon) } else if (b && b.isBigNumber) { - return exports.equal(a, b.toNumber()) + return exports.equal(a, b.toNumber(), epsilon) } else if ((a && a.isComplex) || (b && b.isComplex)) { if (a && a.isComplex && b && b.isComplex) { - exports.equal(a.re, b.re, (a + ' ~= ' + b)) - exports.equal(a.im, b.im, (a + ' ~= ' + b)) + exports.equal(a.re, b.re, epsilon) + exports.equal(a.im, b.im, epsilon) } else if (a && a.isComplex) { - exports.equal(a.re, b, (a + ' ~= ' + b)) - exports.equal(a.im, 0, (a + ' ~= ' + b)) + exports.equal(a.re, b, epsilon) + exports.equal(a.im, 0, epsilon) } else if (b && b.isComplex) { - exports.equal(a, b.re, (a + ' ~= ' + b)) - exports.equal(0, b.im, (a + ' ~= ' + b)) + exports.equal(a, b.re, epsilon) + exports.equal(0, b.im, epsilon) } } else { assert.strictEqual(a, b)