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Math.js is an extensive math library for JavaScript and 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 dif

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# History ## 2018-04-11, version 4.1.1 - Fixed #1063: derivative not working when resolving a variable with unary minus like `math.derivative('-x', 'x')`. ## 2018-04-08, version 4.1.0 - Extended function `math.print` with support for arrays and matrices. Thanks @jean-emmanuel. - Fixed #1077: Serialization/deserialization to JSON with reviver not being supported by nodes. - Fixed #1016: Extended `math.typeof` with support for `ResultSet` and nodes like `SymbolNode`. - Fixed #1072: Added support for long and short prefixes for the unit `bar` (i.e. `millibar` and `mbar`). ## 2018-03-17, version 4.0.1 - Fixed #1062: mathjs not working on ES5 browsers like IE11 and Safari 9.3. - Fixed #1061: `math.unit` not accepting input like `1/s`. ## 2018-02-25, version 4.0.0 !!! BE CAREFUL: BREAKING CHANGES !!! Breaking changes (see also #682): - **New expression compiler** The compiler of the expression parser is replaced with one that doesn't use `eval` internally. See #1019. This means: - a slightly improved performance on most browsers. - less risk of security exploits. - the code of the new compiler is easier to understand, maintain, and debug. Breaking change here: When using custom nodes in the expression parser, the syntax of `_compile` has changed. This is an undocumented feature though. - **Parsed expressions** - The class `ConstantNode` is changed such that it just holds a value instead of holding a stringified value and it's type. `ConstantNode(valueStr, valueType`) is now `ConstantNode(value)` Stringification uses `math.format`, which may result in differently formatted numeric output. - The constants `true`, `false`, `null`, `undefined`, `NaN`, `Infinity`, and `uninitialized` are now parsed as ConstantNodes instead of SymbolNodes in the expression parser. See #833. - **Implicit multiplication** - Changed the behavior of implicit multiplication to have higher precedence than explicit multiplication and division, except in a number of specific cases. This gives a more natural behavior for implicit multiplications. For example `24h / 6h` now returns `4`, whilst `1/2 kg` evaluates to `0.5 kg`. Thanks @ericman314. See: #792. Detailed documentation: https://github.com/josdejong/mathjs/blob/v4/docs/expressions/syntax.md#implicit-multiplication. - Immediately invoking a function returned by a function like `partialAdd(2)(3)` is no longer supported, instead these expressions are evaluated as an implicit multiplication `partialAdd(2) * (3)`. See #1035. - **String formatting** - In function `math.format`, the options `{exponential: {lower: number, upper: number}}` (where `lower` and `upper` are values) are replaced with `{lowerExp: number, upperExp: number}` (where `lowerExp` and `upperExp` are exponents). See #676. For example: ```js math.format(2000, {exponential: {lower: 1e-2, upper: 1e2}}) ``` is now: ```js math.format(2000, {lowerExp: -2, upperExp: 2}) ``` - In function `math.format`, the option `notation: 'fixed'` no longer rounds to zero digits when no precision is specified: it leaves the digits as is. See #676. - **String comparison** Changed the behavior of relational functions (`compare`, `equal`, `equalScalar`, `larger`, `largerEq`, `smaller`, `smallerEq`, `unequal`) to compare strings by their numeric value they contain instead of alphabetically. This also impacts functions `deepEqual`, `sort`, `min`, `max`, `median`, and `partitionSelect`. Use `compareNatural` if you need to sort an array with text. See #680. - **Angle units** Changed `rad`, `deg`, and `grad` to have short prefixes, and introduced `radian`, `degree`, and `gradian` and their plurals having long prefixes. See #749. - **Null** - `null` is no longer implicitly casted to a number `0`, so input like `math.add(2, null)` is no longer supported. See #830, #353. - Dropped constant `uninitialized`, which was used to initialize leave new entries undefined when resizing a matrix is removed. Use `undefined` instead to indicate entries that are not explicitly set. See #833. - **New typed-function library** - The `typed-function` library used to check the input types of functions is completely rewritten and doesn't use `eval` under the hood anymore. This means a reduced security risk, and easier to debug code. The API is the same, but error messages may differ a bit. Performance is comparable but may differ in specific use cases and browsers. Non breaking changes: - Thanks to the new expression compiler and `typed-function` implementation, mathjs doesn't use JavaScript's `eval` anymore under the hood. This allows using mathjs in environments with security restrictions. See #401. - Implemented additional methods `isUnary()` and `isBinary()` on `OperatorNode`. See #1025. - Improved error messages for statistical functions. - Upgraded devDependencies. - Fixed #1014: `derivative` silently dropping additional arguments from operator nodes with more than two arguments. ## 2018-02-07, version 3.20.2 - Upgraded to `typed-function@0.10.7` (bug-fix release). - Fixed option `implicit` not being copied from an `OperatorNode` when applying function `map`. Thanks @HarraySarson. - Fixed #995: spaces and underscores not property being escaped in `toTex()`. Thanks @FSMaxB. ## 2018-01-17, version 3.20.1 - Fixed #1018: `simplifyCore` failing in some cases with parentheses. Thanks @firepick1. ## 2018-01-14, version 3.20.0 - Implement support for 3 or more arguments for operators `+` and `*` in `derivative`. Thanks @HarrySarson. See #1002. - Fixed `simplify` evalution of `simplify` of functions with more than two arguments wrongly: `simplify('f(x, y, z)') evaluated to `f(f(x, y), z)` instead of `f(x, y, z)`. Thanks @joelhoover. - Fixed `simplify` throwing an error in some cases when simplifying unknown functions, for example `simplify('f(4)')`. Thanks @joelhoover. - Fixed #1013: `simplify` wrongly simplifing some expressions containing unary minus, like `0 - -x`. Thanks @joelhoover. - Fixed an error in an example in the documentation of `xor`. Thanks @denisx. ## 2018-01-06, version 3.19.0 - Extended functions `distance` and `intersect` with support for BigNumbers. Thanks @ovk. - Improvements in function `simplify`: added a rule that allows combining of like terms in embedded quantities. Thanks @joelhoover. ## 2017-12-28, version 3.18.1 - Fixed #998: An issue with simplifying an expression containing a subtraction. Thanks @firepick1. ## 2017-12-16, version 3.18.0 - Implemented function `rationalize`. Thanks @paulobuchsbaum. - Upgraded dependencies: ``` decimal.js 7.2.3 → 9.0.1 (no breaking changes affecting mathjs) fraction.js 4.0.2 → 4.0.4 tiny-emitter 2.0.0 → 2.0.2 ``` - Upgraded dev dependencies. - Fixed #975: a wrong example in the docs of lusolve. - Fixed #983: `pickRandom` returning an array instead of single value when input was an array with just one value. Clarified docs. - Fixed #969: preven issues with yarn autoclean by renaming an interally used folder "docs" to "embeddedDocs". ## 2017-11-18, version 3.17.0 - Improved `simplify` for nested exponentiations. Thanks @IvanVergiliev. - Fixed a security issue in `typed-function` allowing arbitrary code execution in the JavaScript engine by creating a typed function with JavaScript code in the name. Thanks Masato Kinugawa. - Fixed a security issue where forbidden properties like constructor could be replaced by using unicode characters when creating an object. No known exploit, but could possibly allow arbitrary code execution. Thanks Masato Kinugawa. ## 2017-10-18, version 3.16.5 - Fixed #954: Functions `add` and `multiply` not working when passing three or more arrays or matrices. ## 2017-10-01, version 3.16.4 - Fixed #948, #949: function `simplify` returning wrong results or running into an infinite recursive loop. Thanks @ericman314. - Fixed many small issues in the embedded docs. Thanks @Schnark. ## 2017-08-28, version 3.16.3 - Fixed #934: Wrong simplification of unary minus. Thanks @firepick1. - Fixed #933: function `simplify` reordering operations. Thanks @firepick1. - Fixed #930: function `isNaN` returning wrong result for complex numbers having just one of their parts (re/im) being `NaN`. - Fixed #929: `FibonacciHeap.isEmpty` returning wrong result. ## 2017-08-20, version 3.16.2 - Fixed #924: a regression in `simplify` not accepting the signature `simplify(expr, rules, scope)` anymore. Thanks @firepick1. - Fixed missing parenthesis when stringifying expressions containing implicit multiplications (see #922). Thanks @FSMaxB. ## 2017-08-12, version 3.16.1 - For security reasons, type checking is now done in a more strict way using functions like `isComplex(x)` instead of duck type checking like `x && x.isComplex === true`. - Fixed #915: No access to property "name". - Fixed #901: Simplify units when calling `unit.toNumeric()`. Thanks @AlexanderBeyn. - Fixed `toString` of a parsed expression tree containing an immediately invoked function assignment not being wrapped in parenthesis (for example `(f(x) = x^2)(4)`). ## 2017-08-06, version 3.16.0 - Significant performance improvements in `math.simplify`. Thanks @firepick1. - Improved API for `math.simplify`, optionally pass a scope with variables which are resolved, see #907. Thanks @firepick1. - Fixed #912: math.js didn't work on IE10 anymore (regression since 3.15.0). ## 2017-07-29, version 3.15.0 - Added support for the dollar character `$` in symbol names (see #895). - Allow objects with prototypes as scope again in the expression parser, this was disabled for security reasons some time ago. See #888, #899. Thanks @ThomasBrierley. - Fixed #846: Issues in the functions `map`, `forEach`, and `filter` when used in the expression parser: - Not being able to use a function assignment as inline expression for the callback function. - Not being able to pass an inline expression as callback for `map` and `forEach`. - Index and original array/matrix not passed in `map` and `filter`. ## 2017-07-05, version 3.14.2 - Upgraded to `fraction.js@4.0.2` - Fixed #891 using BigNumbers not working in browser environments. ## 2017-06-30, version 3.14.1 - Reverted to `fraction.js@4.0.0`, there is an issue with `4.0.1` in the browser. ## 2017-06-30, version 3.14.0 - Implemented set methods `setCartesian`, `setDifference`, `setDistinct`, `setIntersect`, `setIsSubset`, `setPowerset`, `setSize`. Thanks @Nekomajin42. - Implemented method `toHTML` on nodes. Thanks @Nekomajin42. - Implemented `compareNatural` and `sort([...], 'natural')`. - Upgraded dependencies to the latest versions: - `complex.js@2.0.4` - `decimal.js@7.2.3` - `fraction.js@4.0.1` - `tiny-emitter@2.0.0` - And all devDependencies. - Fixed #865: `splitUnit` can now deal with round-off errors. Thanks @ericman314. - Fixed #876: incorrect definition for unit `erg`. Thanks @pjhampton. - More informative error message when using single quotes instead of double quotes around a string. Thanks @HarrySarson. ## 2017-05-27, version 3.13.3 - Fixed a bug in function `intersection` of line and plane. Thanks @viclai. - Fixed security vulnerabilities. ## 2017-05-26, version 3.13.2 - Disabled function `chain` inside the expression parser for security reasons (it's not needed there anyway). - Fixed #856: function `subset` not returning non-primitive scalars from Arrays correctly. (like `math.eval('arr[1]', {arr: [math.bignumber(2)]})`. - Fixed #861: physical constants not available in the expression parser. ## 2017-05-12, version 3.13.1 - Fixed creating units with an alias not working within the expression parser. - Fixed security vulnerabilities. Thanks Sam. ## 2017-05-12, version 3.13.0 - Command line application can now evaluate inline expressions like `mathjs 1+2`. Thanks @slavaGanzin. - Function `derivative` now supports `abs`. Thanks @tetslee. - Function `simplify` now supports BigNumbers. Thanks @tetslee. - Prevent against endless loops in `simplify`. Thanks @tetslee. - Fixed #813: function `simplify` converting small numbers to inexact Fractions. Thanks @tetslee. - Fixed #838: Function `simplify` now supports constants like `e`. Thanks @tetslee. ## 2017-05-05, version 3.12.3 - Fixed security vulnerabilities. Thanks Dan and Sam. ## 2017-04-30, version 3.12.2 - Added a rocket trajectory optimization example. ## 2017-04-24, version 3.12.1 - Fixed #804 - Improved handling of powers of `Infinity`. Thanks @HarrySarson. - Fixed wrong formatting of complex NaN. - Fixed security vulnerabilities in the expression parser. Thanks Sam and Dan. ## 2017-04-17, version 3.12.0 - Implemented QR decomposition, function `math.qr`. Thanks @HarrySarson. - Fixed #824: Calling `math.random()` freezes IE and node.js. ## 2017-04-08, version 3.11.5 - More security measures in the expression parser. WARNING: the behavior of the expression parser is now more strict, some undocumented features may not work any longer. - Accessing and assigning properties is now only allowed on plain objects, not on classes, arrays, and functions anymore. - Accessing methods is restricted to a set of known, safe methods. ## 2017-04-03, version 3.11.4 - Fixed a security vulnerability in the expression parser. Thanks @xfix. ## 2017-04-03, version 3.11.3 - Fixed a security vulnerability in the expression parser. Thanks @xfix. ## 2017-04-03, version 3.11.2 - Fixed a security vulnerability in the expression parser. Thanks @xfix. ## 2017-04-02, version 3.11.1 - Fixed security vulnerabilities in the expression parser. Thanks Joe Vennix and @xfix. ## 2017-04-02, version 3.11.0 - Implemented method Unit.toSI() to convert a unit to base SI units. Thanks @ericman314. - Fixed #821, #822: security vulnerabilities in the expression parser. Thanks @comex and @xfix. ## 2017-03-31, version 3.10.3 - More security fixes related to the ones fixed in `v3.10.2`. ## 2017-03-31, version 3.10.2 - Fixed a security vulnerability in the expression parser allowing execution of arbitrary JavaScript. Thanks @CapacitorSet and @denvit. ## 2017-03-26, version 3.10.1 - Fixed `xgcd` for negative values. Thanks @litmit. - Fixed #807: function transform of existing functions not being removed when overriding such a function. ## 2017-03-05, version 3.10.0 - Implemented function `reshape`. Thanks @patgrasso and @ericman314. - Implemented configuration option `seedRandom` for deterministic random numbers. Thanks @morsecodist. - Small fixes in the docs. Thanks @HarrySarson. - Dropped support for component package manager (which became deprecated about one and a half year ago). ## 2017-02-22, version 3.9.3 - Fixed #797: issue with production builds of React Native projects. - Fixed `math.round` not accepting inputs `NaN`, `Infinity`, `-Infinity`. - Upgraded all dependencies. ## 2017-02-16, version 3.9.2 - Fixed #795: Parse error in case of a multi-line expression with just comments. ## 2017-02-06, version 3.9.1 - Fixed #789: Math.js not supporting conversion of `string` to `BigNumber`, `Fraction`, or `Complex` number. - Fixed #790: Expression parser did not pass function arguments of enclosing functions via `scope` to functions having `rawArgs = true`. - Small fixes in the docs. Thanks @HarrySarson. ## 2017-01-23, version 3.9.0 - Implemented support for algebra: powerful new functions `simplify` and `derivative`. Thanks @ericman314, @tetslee, and @BigFav. - Implemented Kronecker Product `kron`. Thanks @adamisntdead. - Reverted `FunctionNode` not accepting a string as function name anymore. - Fixed #765: `FunctionAssignmentNode.toString()` returning a string incompatible with the function assignment syntax. ## 2016-12-15, version 3.8.1 - Implemented function `mad` (median absolute deviation). Thanks @ruhleder. - Fixed #762: expression parser failing to invoke a function returned by a function. ## 2016-11-18, version 3.8.0 - Functions `add` and `multiply` now accept more than two arguments. See #739. - `OperatorNode` now supports more than two arguments. See #739. Thanks @FSMaxB. - Implemented a method `Node.cloneDeep` for the expression nodes. See #745. - Fixed a bug in `Node.clone()` not cloning implicit multiplication correctly. Thanks @FSMaxB. - Fixed #737: Improved algorithm determining the best prefix for units. It will now retain the original unit like `1 cm` when close enough, instead of returning `10 mm`. Thanks @ericman314. - Fixed #732: Allow letter-like unicode characters like Ohm `\u2126`. - Fixed #749: Units `rad`, `deg`, and `grad` can now have prefixes like `millirad`. - Some fixes in the docs and comments of examples. Thanks @HarrySarson. ## 2016-11-05, version 3.7.0 - Implemented method `Node.equals(other)` for all nodes of the expression parser. - Implemented BigNumber support in function `arg()`. - Command Line Interface loads faster. - Implicit conversions between Fractions and BigNumbers throw a neat error now (See #710). ## 2016-10-21, version 3.6.0 - Implemented function `erf()`. THanks @patgrasso. - Extended function `cross()` to support n-d vectors. Thanks @patgrasso. - Extended function `pickRandom` with the option to pick multiple values from an array and give the values weights: `pickRandom(possibles, number, weights)`. Thanks @woylie. - Parser now exposes test functions like `isAlpha` which can be replaced in order to adjust the allowed characters in variables names (See #715). - Fixed #727: Parser not throwing an error for invalid implicit multiplications like `-2 2` and `2^3 4` (right after the second value of an operator). - Fixed #688: Describe allowed variable names in the docs. ## 2016-09-21, version 3.5.3 - Some more fixes regarding numbers ending with a decimal mark (like `2.`). ## 2016-09-20, version 3.5.2 - Fixed numbers ending with a decimal mark (like `2.`) not being supported by the parser, solved the underlying ambiguity in the parser. See #707, #711. ## 2016-09-12, version 3.5.1 - Removed a left over console.log statement. Thanks @eknkc. ## 2016-09-07, version 3.5.0 - Comments of expressions are are now stored in the parsed nodes. See #690. - Fixed function `print` not accepting an Object with formatting options as third parameter Thanks @ThomasBrierley. - Fixed #707: The expression parser no longer accepts numbers ending with a dot like `2.`. ## 2016-08-08, version 3.4.1 - Fixed broken bundle files (`dist/math.js`, `dist/math.min.js`). - Fixed some layout issues in the function reference docs. ## 2016-08-07, version 3.4.0 - Implemented support for custom units using `createUnit`. Thanks @ericman314. - Implemented function `splitUnits`. Thanks @ericman314. - Implemented function `isPrime`. Thanks @MathBunny. ## 2016-07-05, version 3.3.0 - Implemented function `isNaN`. - Function `math.filter` now passes three arguments to the callback function: value, index, and array. - Removed the check on the number of arguments from functions defined in the expression parser (see #665). - Fixed #665: functions `map`, `forEach`, and `filter` now invoke callbacks which are a typed-function with the correct number of arguments. ## 2016-04-26, version 3.2.1 - Fixed #651: unable to perform calculations on "Unit-less" units. - Fixed matrix.subset mutating the replacement matrix when unsqueezing it. ## 2016-04-16, version 3.2.0 - Implemented #644: method `Parser.getAll()` to retrieve all defined variables. - Upgraded dependencies (decimal.js@5.0.8, fraction.js@3.3.1, typed-function@0.10.4). - Fixed #601: Issue with unnamed typed-functions by upgrading to typed-function v0.10.4. - Fixed #636: More strict `toTex` templates, reckon with number of arguments. - Fixed #641: Bug in expression parser parsing implicit multiplication with wrong precedence in specific cases. - Fixed #645: Added documentation about `engineering` notation of function `math.format`. ## 2016-04-03, version 3.1.4 - Using ES6 Math functions like `Math.sinh`, `Math.cbrt`, `Math.sign`, etc when available. - Fixed #631: unit aliases `weeks`, `months`, and `years` where missing. - Fixed #632: problem with escaped backslashes at the end of strings. - Fixed #635: `Node.toString` options where not passed to function arguments. - Fixed #629: expression parser throws an error when passing a number with decimal exponent instead of parsing them as implicit multiplication. - Fixed #484, #555: inaccuracy of `math.sinh` for values between -1 and 1. - Fixed #625: Unit `in` (`inch`) not always working due to ambiguity with the operator `a in b` (alias of `a to b`). ## 2016-03-24, version 3.1.3 - Fix broken bundle. ## 2016-03-24, version 3.1.2 - Fix broken npm release. ## 2016-03-24, version 3.1.1 - Fixed #621: a bug in parsing implicit multiplications like `(2)(3)+4`. - Fixed #623: `nthRoot` of zero with a negative root returned `0` instead of `Infinity`. - Throw an error when functions `min`, `max`, `mean`, or `median` are invoked with multiple matrices as arguments (see #598). ## 2016-03-19, version 3.1.0 - Hide multiplication operator by default when outputting `toTex` and `toString` for implicit multiplications. Implemented and option to output the operator. - Implemented unit `kip` and alias `kips`. Thanks @hgupta9. - Added support for prefixes for units `mol` and `mole`. Thanks @stu-blair. - Restored support for implicit multiplications like `2(3+4)` and `(2+3)(4+5)`. - Some improvements in the docs. - Added automatic conversions from `boolean` and `null` to `Fraction`, and conversions from `Fraction` to `Complex`. ## 2016-03-04, version 3.0.0 ### breaking changes - More restricted support for implicit multiplication in the expression parser: `(...)(...)` is now evaluated as a function invocation, and `[...][...]` as a matrix subset. - Matrix multiplication no longer squeezes scalar outputs to a scalar value, but leaves them as they are: a vector or matrix containing a single value. See #529. - Assignments in the expression parser now return the assigned value rather than the created or updated object (see #533). Example: ``` A = eye(3) A[1,1] = 2 # this assignment now returns 2 instead of A ``` - Expression parser now supports objects. This involves a refactoring and extension in expression nodes: - Implemented new node `ObjectNode`. - Refactored `AssignmentNode`, `UpdateNode`, and `IndexNode` are refactored into `AccessorNode`, `AssignmentNode`, and `IndexNode` having a different API. - Upgraded the used BigNumber library `decimal.js` to v5. Replaced the trigonometric functions of math.js with those provided in decimal.js v5. This can give slightly different behavior qua round-off errors. - Replaced the internal `Complex.js` class with the `complex.js` library created by @infusion. - Entries in a matrix (typically numbers, BigNumbers, Units, etc) are now considered immutable, they are no longer copied when performing operations on the entries, improving performance. - Implemented nearly equal comparison for relational functions (`equal`, `larger`, `smaller`, etc.) when using BigNumbers. - Changed the casing of the configuration options `matrix` (`Array` or `Matrix`) and `number` (`number`, `BigNumber`, `Fraction`) such that they now match the type returned by `math.typeof`. Wrong casing gives a console warning but will still work. - Changed the default config value for `epsilon` from `1e-14` to `1e-12`, see #561. ### non-breaking changes - Extended function `pow` to return the real root for cubic roots of negative numbers. See #525, #482, #567. - Implemented support for JSON objects in the expression parser and the function `math.format`. - Function `math.fraction` now supports `BigNumber`, and function `math.bignumber` now supports `Fraction`. - Expression parser now allows function and/or variable assignments inside accessors and conditionals, like `A[x=2]` or `a > 2 ? b="ok" : b="fail"`. - Command line interface: - Outputs the variable name of assignments. - Fixed not rounding BigNumbers to 14 digits like numbers. - Fixed non-working autocompletion of user defined variables. - Reorganized and extended docs, added docs on classes and more. Thanks @hgupta9. - Added new units `acre`, `hectare`, `torr`, `bar`, `mmHg`, `mmH2O`, `cmH2O`, and added new aliases `acres`, `hectares`, `sqfeet`, `sqyard`, `sqmile`, `sqmiles`, `mmhg`, `mmh2o`, `cmh2o`. Thanks @hgupta9. - Fixed a bug in the toString method of an IndexNode. - Fixed angle units `deg`, `rad`, `grad`, `cycle`, `arcsec`, and `arcmin` not being defined as BigNumbers when configuring to use BigNumbers. ## 2016-02-03, version 2.7.0 - Added more unit aliases for time: `secs`, `mins`, `hr`, `hrs`. See #551. - Added support for doing operations with mixed `Fractions` and `BigNumbers`. - Fixed #540: `math.intersect()` returning null in some cases. Thanks @void42. - Fixed #546: Cannot import BigNumber, Fraction, Matrix, Array. Thanks @brettjurgens. ## 2016-01-08, version 2.6.0 - Implemented (complex) units `VA` and `VAR`. - Implemented time units for weeks, months, years, decades, centuries, and millennia. Thanks @owenversteeg. - Implemented new notation `engineering` in function `math.format`. Thanks @johnmarinelli. - Fixed #523: In some circumstances, matrix subset returned a scalar instead of the correct subset. - Fixed #536: A bug in an internal method used for sparse matrices. ## 2015-12-05, version 2.5.0 - Implemented support for numeric types `Fraction` and `BigNumber` in units. - Implemented new method `toNumeric` for units. - Implemented new units `arcsec`, `arcsecond`, `arcmin`, `arcminute`. Thanks @devdevdata222. - Implemented new unit `Herts` (`Hz`). Thanks @SwamWithTurtles. - Fixed #485: Scoping issue with variables both used globally as well as in a function definition. - Fixed: Function `number` didn't support `Fraction` as input. ## 2015-11-14, version 2.4.2 - Fixed #502: Issue with `format` in some JavaScript engines. - Fixed #503: Removed trailing commas and the use of keyword `import` as property, as this gives issues with old JavaScript engines. ## 2015-10-29, version 2.4.1 - Fixed #480: `nthRoot` not working on Internet Explorer (up to IE 11). - Fixed #490: `nthRoot` returning an error for negative values like `nthRoot(-2, 3)`. - Fixed #489: an issue with initializing a sparse matrix without data. Thanks @Retsam. - Fixed: #493: function `combinations` did not throw an exception for non-integer values of `k`. - Fixed: function `import` did not override typed functions when the option override was set true. - Fixed: added functions `math.sparse` and `math.index` to the reference docs, they where missing. - Fixed: removed memoization from `gamma` and `factorial` functions, this could blow up memory. ## 2015-10-09, version 2.4.0 - Added support in the expression parser for mathematical alphanumeric symbols in the expression parser: unicode range \u{1D400} to \u{1D7FF} excluding invalid code points. - Extended function `distance` with more signatures. Thanks @kv-kunalvyas. - Fixed a bug in functions `sin` and `cos`, which gave wrong results for BigNumber integer values around multiples of tau (i.e. `sin(bignumber(7))`). - Fixed value of unit `stone`. Thanks @Esvandiary for finding the error. ## 2015-09-19, version 2.3.0 - Implemented function `distance`. Thanks @devanp92. - Implemented support for Fractions in function `lcm`. Thanks @infusion. - Implemented function `cbrt` for numbers, complex numbers, BigNumbers, Units. - Implemented function `hypot`. - Upgraded to fraction.js v3.0.0. - Fixed #450: issue with non sorted index in sparse matrices. - Fixed #463, #322: inconsistent handling of implicit multiplication. - Fixed #444: factorial of infinity not returning infinity. ## 2015-08-30, version 2.2.0 - Units with powers (like `m^2` and `s^-1`) now output with the best prefix. - Implemented support for units to `abs`, `cube`, `sign`, `sqrt`, `square`. Thanks @ericman314. - Implemented function `catalan` (Combinatorics). Thanks @devanp92. - Improved the `canDefineProperty` check to return false in case of IE8, which has a broken implementation of `defineProperty`. Thanks @golmansax. - Fixed function `to` not working in case of a simplified unit. - Fixed #437: an issue with row swapping in `lup`, also affecting `lusolve`. ## 2015-08-12, version 2.1.1 - Fixed wrong values of the physical constants `speedOfLight`, `molarMassC12`, and `magneticFluxQuantum`. Thanks @ericman314 for finding two of them. ## 2015-08-11, version 2.1.0 - Implemented derived units (like `110 km/h in m/s`). Thanks @ericman314. - Implemented support for electric units. Thanks @ericman314. - Implemented about 50 physical constants like `speedOfLight`, `gravity`, etc. - Implemented function `kldivergence` (Kullback-Leibler divergence). Thanks @saromanov. - Implemented function `mode`. Thanks @kv-kunalvyas. - Added support for unicode characters in the expression parser: greek letters and latin letters with accents. See #265. - Internal functions `Unit.parse` and `Complex.parse` now throw an Error instead of returning null when passing invalid input. ## 2015-07-29, version 2.0.1 - Fixed operations with mixed fractions and numbers be converted to numbers instead of fractions. ## 2015-07-28, version 2.0.0 - Large internal refactoring: - performance improvements. - allows to create custom bundles - functions are composed using `typed-function` and are extensible - Implemented support for fractions, powered by the library `fraction.js`. - Implemented matrix LU decomposition with partial pivoting and a LU based linear equations solver (functions `lup` and `lusolve`). Thanks @rjbaucells. - Implemented a new configuration option `predictable`, which can be set to true in order to ensure predictable function output types. - Implemented function `intersect`. Thanks @kv-kunalvyas. - Implemented support for adding `toTex` properties to custom functions. Thanks @FSMaxB. - Implemented support for complex values to `nthRoot`. Thanks @gangachris. - Implemented util functions `isInteger`, `isNegative`, `isNumeric`, `isPositive`, and `isZero`. ### breaking changes - String input is now converted to numbers by default for all functions. - Adding two strings will no longer concatenate them, but will convert the strings to numbers and add them. - Function `index` does no longer accept an array `[start, end, step]`, but instead accepts an array with arbitrary index values. It also accepts a `Range` object as input. - Function `typeof` no longer returns lower case names, but now returns lower case names for primitives (like `number`, `boolean`, `string`), and upper-camel-case for non-primitives (like `Array`, `Complex`, `Function`). - Function `import` no longer supports a module name as argument. Instead, modules can be loaded using require: `math.import(require('module-name'))`. - Function `import` has a new option `silent` to ignore errors, and throws errors on duplicates by default. - Method `Node.compile()` no longer needs `math` to be passed as argument. - Reintroduced method `Node.eval([scope])`. - Function `sum` now returns zero when input is an empty array. Thanks @FSMAxB. - The size of Arrays is no longer validated. Matrices will validate this on creation. ## 2015-07-12, version 1.7.1 - Fixed #397: Inaccuracies in nthRoot for very large values, and wrong results for very small values. (backported from v2) - Fixed #405: Parser throws error when defining a function in a multiline expression. ## 2015-05-31, version 1.7.0 - Implemented function `quantileSeq` and `partitionSelect`. Thanks @BigFav. - Implemented functions `stirlingS2`, `bellNumbers`, `composition`, and `multinomial`. Thanks @devanp92. - Improved the performance of `median` (see #373). Thanks @BigFav. - Extended the command line interface with a `mode` option to output either the expressions result, string representation, or tex representation. Thanks @FSMaxB. - Fixed #309: Function median mutating the input matrix. Thanks @FSMaxB. - Fixed `Node.transform` not recursing over replaced parts of the node tree (see #349). - Fixed #381: issue in docs of `randomInt`. ## 2015-04-22, version 1.6.0 - Improvements in `toTex`. Thanks @FSMaxB. - Fixed #328: `abs(0 + 0i)` evaluated to `NaN`. - Fixed not being able to override lazy loaded constants. ## 2015-04-09, version 1.5.2 - Fixed #313: parsed functions did not handle recursive calls correctly. - Fixed #251: binary prefix and SI prefix incorrectly used for byte. Now following SI standards (`1 KiB == 1024 B`, `1 kB == 1000 B`). - Performance improvements in parsed functions. ## 2015-04-08, version 1.5.1 - Fixed #316: a bug in rounding values when formatting. - Fixed #317, #319: a bug in formatting negative values. ## 2015-03-28, version 1.5.0 - Added unit `stone` (6.35 kg). - Implemented support for sparse matrices. Thanks @rjbaucells. - Implemented BigNumber support for function `atan2`. Thanks @BigFav. - Implemented support for custom LaTeX representations. Thanks @FSMaxB. - Improvements and bug fixes in outputting parentheses in `Node.toString` and `Node.toTex` functions. Thanks @FSMaxB. - Fixed #291: function `format` sometimes returning exponential notation when it should return a fixed notation. ## 2015-02-28, version 1.4.0 - Implemented trigonometric functions: `acosh`, `acoth`, `acsch`, `asech`, `asinh`, `atanh`, `acot`, `acsc`, `asec`. Thanks @BigFav. - Added BigNumber support for functions: `cot`, `csc`, `sec`, `coth`, `csch`, `sech`. Thanks @BigFav. - Implemented support for serialization and deserialization of math.js data types. - Fixed the calculation of `norm()` and `abs()` for large complex numbers. Thanks @rjbaucells. - Fixed #281: improved formatting complex numbers. Round the real or imaginary part to zero when the difference is larger than the configured precision. ## 2015-02-09, version 1.3.0 - Implemented BigNumber implementations of most trigonometric functions: `sin`, `cos`, `tan`, `asin`, `acos`, `atan`, `cosh`, `sinh`, `tanh`. Thanks @BigFav. - Implemented function `trace`. Thanks @pcorey. - Faster loading of BigNumber configuration with a high precision by lazy loading constants like `pi` and `e`. - Fixed constants `NaN` and `Infinity` not being BigNumber objects when BigNumbers are configured. - Fixed missing parentheses in the `toTex` representation of function `permutations`. - Some minor fixes in the docs. Thanks @KenanY. ## 2014-12-25, version 1.2.0 - Support for bitwise operations `bitAnd`, `bitNot`, `bitOr`, `bitXor`, `leftShift`, `rightArithShift`, and `rightLogShift`. Thanks @BigFav. - Support for boolean operations `and`, `not`, `or`, `xor`. Thanks @BigFav. - Support for `gamma` function. Thanks @BigFav. - Converting a unit without value will now result in a unit *with* value, i.e. `inch in cm` will return `2.54 cm` instead of `cm`. - Improved accuracy of `sinh` and complex `cos` and `sin`. Thanks @pavpanchekha. - Renamed function `select` to `chain`. The old function `select` will remain functional until math.js v2.0. - Upgraded to decimal.js v4.0.1 (BigNumber library). ## 2014-11-22, version 1.1.1 - Fixed Unit divided by Number returning zero. - Fixed BigNumber downgrading to Number for a negative base in `pow`. - Fixed some typos in error messaging (thanks @andy0130tw) and docs. ## 2014-11-15, version 1.1.0 - Implemented functions `dot` (dot product), `cross` (cross product), and `nthRoot`. - Officially opened up the API of expression trees: - Documented the API. - Implemented recursive functions `clone`, `map`, `forEach`, `traverse`, `transform`, and `filter` for expression trees. - Parameter `index` in the callbacks of `map` and `forEach` are now cloned for every callback. - Some internal refactoring inside nodes to make the API consistent: - Renamed `params` to `args` and vice versa to make things consistent. - Renamed `Block.nodes` to `Block.blocks`. - `FunctionNode` now has a `name: string` instead of a `symbol: SymbolNode`. - Changed constructor of `RangeNode` to `new RangeNode(start: Node, end: Node [, step: Node])`. - Nodes for a `BlockNode` must now be passed via the constructor instead of via a function `add`. - Fixed `2e` giving a syntax error instead of being parsed as `2 * e`. ## 2014-09-12, version 1.0.1 - Disabled array notation for ranges in a matrix index in the expression parser (it is confusing and redundant there). - Fixed a regression in the build of function subset not being able to return a scalar. - Fixed some missing docs and broken links in the docs. ## 2014-09-04, version 1.0.0 - Implemented a function `filter(x, test)`. - Removed `math.distribution` for now, needs some rethinking. - `math.number` can convert units to numbers (requires a second argument) - Fixed some precedence issues with the range and conversion operators. - Fixed an zero-based issue when getting a matrix subset using an index containing a matrix. ## 2014-08-21, version 0.27.0 - Implemented functions `sort(x [, compare])` and `flatten(x)`. - Implemented support for `null` in all functions. - Implemented support for "rawArgs" functions in the expression parser. Raw functions are invoked with unevaluated parameters (nodes). - Expressions in the expression parser can now be spread over multiple lines, like '2 +\n3'. - Changed default value of the option `wrap` of function `math.import` to false. - Changed the default value for new entries in a resized matrix when to zero. To leave new entries uninitialized, use the new constant `math.uninitialized` as default value. - Renamed transform property from `__transform__` to `transform`, and documented the transform feature. - Fixed a bug in `math.import` not applying options when passing a module name. - A returned matrix subset is now only squeezed when the `index` consists of scalar values, and no longer for ranges resolving into a single value. ## 2014-08-03, version 0.26.0 - A new instance of math.js can no longer be created like `math([options])`, to prevent side effects from math being a function instead of an object. Instead, use the function `math.create([options])` to create a new instance. - Implemented `BigNumber` support for all constants: `pi`, `tau`, `e`, `phi`, `E`, `LN2`, `LN10`, `LOG2E`, `LOG10E`, `PI`, `SQRT1_2`, and `SQRT2`. - Implemented `BigNumber` support for functions `gcd`, `xgcd`, and `lcm`. - Fixed function `gxcd` returning an Array when math.js was configured as `{matrix: 'matrix'}`. - Multi-line expressions now return a `ResultSet` instead of an `Array`. - Implemented transforms (used right now to transform one-based indices to zero-based for expressions). - When used inside the expression parser, functions `concat`, `min`, `max`, and `mean` expect an one-based dimension number. - Functions `map` and `forEach` invoke the callback with one-based indices when used from within the expression parser. - When adding or removing dimensions when resizing a matrix, the dimensions are added/removed from the inner side (right) instead of outer side (left). - Improved index out of range errors. - Fixed function `concat` not accepting a `BigNumber` for parameter `dim`. - Function `squeeze` now squeezes both inner and outer singleton dimensions. - Output of getting a matrix subset is not automatically squeezed anymore except for scalar output. - Renamed `FunctionNode` to `FunctionAssignmentNode`, and renamed `ParamsNode` to `FunctionNode` for more clarity. - Fixed broken auto completion in CLI. - Some minor fixes. ## 2014-07-01, version 0.25.0 - The library now immediately returns a default instance of mathjs, there is no need to instantiate math.js in a separate step unless one ones to set configuration options: // instead of: var mathjs = require('mathjs'), // load math.js math = mathjs(); // create an instance // just do: var math = require('mathjs'); - Implemented support for implicit multiplication, like `math.eval('2a', {a:3})` and `math.eval('(2+3)(1-3)')`. This changes behavior of matrix indexes as well: an expression like `[...][...]` is not evaluated as taking a subset of the first matrix, but as an implicit multiplication of two matrices. - Removed utility function `ifElse`. This function is redundant now the expression parser has a conditional operator `a ? b : c`. - Fixed a bug with multiplying a number with a temperature, like `math.eval('10 * celsius')`. - Fixed a bug with symbols having value `undefined` not being evaluated. ## 2014-06-20, version 0.24.1 - Something went wrong with publishing on npm. ## 2014-06-20, version 0.24.0 - Added constant `null`. - Functions `equal` and `unequal` support `null` and `undefined` now. - Function `typeof` now recognizes regular expressions as well. - Objects `Complex`, `Unit`, and `Help` now return their string representation when calling `.valueOf()`. - Changed the default number of significant digits for BigNumbers from 20 to 64. - Changed the behavior of the conditional operator (a ? b : c) to lazy evaluating. - Fixed imported, wrapped functions not accepting `null` and `undefined` as function arguments. ## 2014-06-10, version 0.23.0 - Renamed some functions (everything now has a logical, camel case name): - Renamed functions `edivide`, `emultiply`, and `epow` to `dotDivide`, `dotMultiply`, and `dotPow` respectively. - Renamed functions `smallereq` and `largereq` to `smallerEq` and `largerEq`. - Renamed function `unary` to `unaryMinus` and added support for strings. - `end` is now a reserved keyword which cannot be used as function or symbol name in the expression parser, and is not allowed in the scope against which an expression is evaluated. - Implemented function `unaryPlus` and unary plus operator. - Implemented function `deepEqual` for matrix comparisons. - Added constant `phi`, the golden ratio (`phi = 1.618...`). - Added constant `version`, returning the version number of math.js as string. - Added unit `drop` (`gtt`). - Fixed not being able to load math.js using AMD/require.js. - Changed signature of `math.parse(expr, nodes)` to `math.parse(expr, options)` where `options: {nodes: Object.<String, Node>}` - Removed matrix support from conditional function `ifElse`. - Removed automatic assignment of expression results to variable `ans`. This functionality can be restored by pre- or postprocessing every evaluation, something like: function evalWithAns (expr, scope) { var ans = math.eval(expr, scope); if (scope) { scope.ans = ans; } return ans; } ## 2014-05-22, version 0.22.0 - Implemented support to export expressions to LaTeX. Thanks Niels Heisterkamp (@nheisterkamp). - Output of matrix multiplication is now consistently squeezed. - Added reference documentation in the section /docs/reference. - Fixed a bug in multiplying units without value with a number (like `5 * cm`). - Fixed a bug in multiplying two matrices containing vectors (worked fine for arrays). - Fixed random functions not accepting Matrix as input, and always returning a Matrix as output. ## 2014-05-13, version 0.21.1 - Removed `crypto` library from the bundle. - Deprecated functions `Parser.parse` and `Parser.compile`. Use `math.parse` and `math.compile` instead. - Fixed function `add` not adding strings and matrices element wise. - Fixed parser not being able to evaluate an exponent followed by a unary minus like `2^-3`, and a transpose followed by an index like `[3]'[1]`. ## 2014-04-24, version 0.21.0 - Implemented trigonometric hyperbolic functions `cosh`, `coth`, `csch`, `sech`, `sinh`, `tanh`. Thanks Rogelio J. Baucells (@rjbaucells). - Added property `type` to all expression nodes in an expression tree. - Fixed functions `log`, `log10`, `pow`, and `sqrt` not supporting complex results from BigNumber input (like `sqrt(bignumber(-4))`). ## 2014-04-16, version 0.20.0 - Switched to module `decimal.js` for BigNumber support, instead of `bignumber.js`. - Implemented support for polar coordinates to the `Complex` datatype. Thanks Finn Pauls (@finnp). - Implemented BigNumber support for functions `exp`, `log`, and `log10`. - Implemented conditional operator `a ? b : c` in expression parser. - Improved floating point comparison: the functions now check whether values are nearly equal, against a configured maximum relative difference `epsilon`. Thanks Rogelio J. Baucells (@rjbaucells). - Implemented function `norm`. Thanks Rogelio J. Baucells (@rjbaucells). - Improved function `ifElse`, is now specified for special data types too. - Improved function `det`. Thanks Bryan Cuccioli (@bcuccioli). - Implemented `BigNumber` support for functions `det` and `diag`. - Added unit alias `lbs` (pound mass). - Changed configuration option `decimals` to `precision` (applies to BigNumbers only). - Fixed support for element-wise comparisons between a string and a matrix. - Fixed: expression parser now trows IndexErrors with one-based indices instead of zero-based. - Minor bug fixes. ## 2014-03-30, version 0.19.0 - Implemented functions `compare`, `sum`, `prod`, `var`, `std`, `median`. - Implemented function `ifElse` Thanks @mtraynham. - Minor bug fixes. ## 2014-02-15, version 0.18.1 - Added unit `feet`. - Implemented function `compile` (shortcut for parsing and then compiling). - Improved performance of function `pow` for matrices. Thanks @hamadu. - Fixed broken auto completion in the command line interface. - Fixed an error in function `combinations` for large numbers, and improved performance of both functions `combinations` and `permutations`. ## 2014-01-18, version 0.18.0 - Changed matrix index notation of expression parser from round brackets to square brackets, for example `A[1, 1:3]` instead of `A(1, 1:3)`. - Removed need to use the `function` keyword for function assignments in the expression parser, you can define a function now like `f(x) = x^2`. - Implemented a compilation step in the expression parser: expressions are compiled into JavaScript, giving much better performance (easily 10x as fast). - Renamed unit conversion function and operator `in` to `to`. Operator `in` is still available in the expression parser as an alias for `to`. Added unit `in`, an abbreviation for `inch`. Thanks Elijah Insua (@tmpvar). - Added plurals and aliases for units. - Implemented an argument `includeEnd` for function `range` (false by default). - Ranges in the expression parser now support big numbers. - Implemented functions `permutations` and `combinations`. Thanks Daniel Levin (@daniel-levin). - Added lower case abbreviation `l` for unit litre. ## 2013-12-19, version 0.17.1 - Fixed a bug with negative temperatures. - Fixed a bug with prefixes of units squared meter `m2` and cubic meter `m3`. ## 2013-12-12, version 0.17.0 - Renamed and flattened configuration settings: - `number.defaultType` is now `number`. - `number.precision` is now `decimals`. - `matrix.defaultType` is now `matrix`. - Function `multiply` now consistently outputs a complex number on complex input. - Fixed `mod` and `in` not working as function (only as operator). - Fixed support for old browsers (IE8 and older), compatible when using es5-shim. - Fixed support for Java's ScriptEngine. ## 2013-11-28, version 0.16.0 - Implemented BigNumber support for arbitrary precision calculations. Added settings `number.defaultType` and `number.precision` to configure big numbers. - Documentation is extended. - Removed utility functions `isScalar`, `toScalar`, `isVector`, `toVector` from `Matrix` and `Range`. Use `math.squeeze` and `math.size` instead. - Implemented functions `get` and `set` on `Matrix`, for easier and faster retrieval/replacement of elements in a matrix. - Implemented function `resize`, handling matrices, scalars, and strings. - Functions `ones` and `zeros` now return an empty matrix instead of a number 1 or 0 when no arguments are provided. - Implemented functions `min` and `max` for `Range` and `Index`. - Resizing matrices now leaves new elements undefined by default instead of filling them with zeros. Function `resize` now has an extra optional parameter `defaultValue`. - Range operator `:` in expression parser has been given a higher precedence. - Functions don't allow arguments of unknown type anymore. - Options be set when constructing a math.js instance or using the new function `config(options`. Options are no longer accessible via `math.options`. - Renamed `scientific` notation to `exponential` in function `format`. - Function `format` outputs exponential notation with positive exponents now always with `+` sign, so outputs `2.1e+3` instead of `2.1e3`. - Fixed function `squeeze` not being able squeeze into a scalar. - Some fixes and performance improvements in the `resize` and `subset` functions. - Function `size` now adheres to the option `matrix.defaultType` for scalar input. - Minor bug fixes. ## 2013-10-26, version 0.15.0 - Math.js must be instantiated now, static calls are no longer supported. Usage: - node.js: `var math =