mathjs
Version:
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
311 lines (279 loc) • 9.5 kB
JavaScript
const lazy = require('../../utils/object').lazy
const isFactory = require('../../utils/object').isFactory
const traverse = require('../../utils/object').traverse
const ArgumentsError = require('../../error/ArgumentsError')
function factory (type, config, load, typed, math) {
/**
* Import functions from an object or a module
*
* Syntax:
*
* math.import(object)
* math.import(object, options)
*
* Where:
*
* - `object: Object`
* An object with functions to be imported.
* - `options: Object` An object with import options. Available options:
* - `override: boolean`
* If true, existing functions will be overwritten. False by default.
* - `silent: boolean`
* If true, the function will not throw errors on duplicates or invalid
* types. False by default.
* - `wrap: boolean`
* If true, the functions will be wrapped in a wrapper function
* which converts data types like Matrix to primitive data types like Array.
* The wrapper is needed when extending math.js with libraries which do not
* support these data type. False by default.
*
* Examples:
*
* // define new functions and variables
* math.import({
* myvalue: 42,
* hello: function (name) {
* return 'hello, ' + name + '!'
* }
* })
*
* // use the imported function and variable
* math.myvalue * 2 // 84
* math.hello('user') // 'hello, user!'
*
* // import the npm module 'numbers'
* // (must be installed first with `npm install numbers`)
* math.import(require('numbers'), {wrap: true})
*
* math.fibonacci(7) // returns 13
*
* @param {Object | Array} object Object with functions to be imported.
* @param {Object} [options] Import options.
*/
function mathImport (object, options) {
const num = arguments.length
if (num !== 1 && num !== 2) {
throw new ArgumentsError('import', num, 1, 2)
}
if (!options) {
options = {}
}
// TODO: allow a typed-function with name too
if (isFactory(object)) {
_importFactory(object, options)
} else if (Array.isArray(object)) {
object.forEach(function (entry) {
mathImport(entry, options)
})
} else if (typeof object === 'object') {
// a map with functions
for (const name in object) {
if (object.hasOwnProperty(name)) {
const value = object[name]
if (isSupportedType(value)) {
_import(name, value, options)
} else if (isFactory(object)) {
_importFactory(object, options)
} else {
mathImport(value, options)
}
}
}
} else {
if (!options.silent) {
throw new TypeError('Factory, Object, or Array expected')
}
}
}
/**
* Add a property to the math namespace and create a chain proxy for it.
* @param {string} name
* @param {*} value
* @param {Object} options See import for a description of the options
* @private
*/
function _import (name, value, options) {
// TODO: refactor this function, it's to complicated and contains duplicate code
if (options.wrap && typeof value === 'function') {
// create a wrapper around the function
value = _wrap(value)
}
if (isTypedFunction(math[name]) && isTypedFunction(value)) {
if (options.override) {
// give the typed function the right name
value = typed(name, value.signatures)
} else {
// merge the existing and typed function
value = typed(math[name], value)
}
math[name] = value
_importTransform(name, value)
math.emit('import', name, function resolver () {
return value
})
return
}
if (math[name] === undefined || options.override) {
math[name] = value
_importTransform(name, value)
math.emit('import', name, function resolver () {
return value
})
return
}
if (!options.silent) {
throw new Error('Cannot import "' + name + '": already exists')
}
}
function _importTransform (name, value) {
if (value && typeof value.transform === 'function') {
math.expression.transform[name] = value.transform
if (allowedInExpressions(name)) {
math.expression.mathWithTransform[name] = value.transform
}
} else {
// remove existing transform
delete math.expression.transform[name]
if (allowedInExpressions(name)) {
math.expression.mathWithTransform[name] = value
}
}
}
function _deleteTransform (name) {
delete math.expression.transform[name]
if (allowedInExpressions(name)) {
math.expression.mathWithTransform[name] = math[name]
} else {
delete math.expression.mathWithTransform[name]
}
}
/**
* Create a wrapper a round an function which converts the arguments
* to their primitive values (like convert a Matrix to Array)
* @param {Function} fn
* @return {Function} Returns the wrapped function
* @private
*/
function _wrap (fn) {
const wrapper = function wrapper () {
const args = []
for (let i = 0, len = arguments.length; i < len; i++) {
const arg = arguments[i]
args[i] = arg && arg.valueOf()
}
return fn.apply(math, args)
}
if (fn.transform) {
wrapper.transform = fn.transform
}
return wrapper
}
/**
* Import an instance of a factory into math.js
* @param {{factory: Function, name: string, path: string, math: boolean}} factory
* @param {Object} options See import for a description of the options
* @private
*/
function _importFactory (factory, options) {
if (typeof factory.name === 'string') {
const name = factory.name
const existingTransform = name in math.expression.transform
const namespace = factory.path ? traverse(math, factory.path) : math
const existing = namespace.hasOwnProperty(name) ? namespace[name] : undefined
const resolver = function () {
let instance = load(factory)
if (instance && typeof instance.transform === 'function') {
throw new Error('Transforms cannot be attached to factory functions. ' +
'Please create a separate function for it with exports.path="expression.transform"')
}
if (isTypedFunction(existing) && isTypedFunction(instance)) {
if (options.override) {
// replace the existing typed function (nothing to do)
} else {
// merge the existing and new typed function
instance = typed(existing, instance)
}
return instance
}
if (existing === undefined || options.override) {
return instance
}
if (!options.silent) {
throw new Error('Cannot import "' + name + '": already exists')
}
}
if (factory.lazy !== false) {
lazy(namespace, name, resolver)
if (existingTransform) {
_deleteTransform(name)
} else {
if (factory.path === 'expression.transform' || factoryAllowedInExpressions(factory)) {
lazy(math.expression.mathWithTransform, name, resolver)
}
}
} else {
namespace[name] = resolver()
if (existingTransform) {
_deleteTransform(name)
} else {
if (factory.path === 'expression.transform' || factoryAllowedInExpressions(factory)) {
math.expression.mathWithTransform[name] = resolver()
}
}
}
math.emit('import', name, resolver, factory.path)
} else {
// unnamed factory.
// no lazy loading
load(factory)
}
}
/**
* Check whether given object is a type which can be imported
* @param {Function | number | string | boolean | null | Unit | Complex} object
* @return {boolean}
* @private
*/
function isSupportedType (object) {
return typeof object === 'function' ||
typeof object === 'number' ||
typeof object === 'string' ||
typeof object === 'boolean' ||
object === null ||
(object && type.isUnit(object)) ||
(object && type.isComplex(object)) ||
(object && type.isBigNumber(object)) ||
(object && type.isFraction(object)) ||
(object && type.isMatrix(object)) ||
(object && Array.isArray(object))
}
/**
* Test whether a given thing is a typed-function
* @param {*} fn
* @return {boolean} Returns true when `fn` is a typed-function
*/
function isTypedFunction (fn) {
return typeof fn === 'function' && typeof fn.signatures === 'object'
}
function allowedInExpressions (name) {
return !unsafe.hasOwnProperty(name)
}
function factoryAllowedInExpressions (factory) {
return factory.path === undefined && !unsafe.hasOwnProperty(factory.name)
}
// namespaces and functions not available in the parser for safety reasons
const unsafe = {
'expression': true,
'type': true,
'docs': true,
'error': true,
'json': true,
'chain': true // chain method not supported. Note that there is a unit chain too.
}
return mathImport
}
exports.math = true // request access to the math namespace as 5th argument of the factory function
exports.name = 'import'
exports.factory = factory
exports.lazy = true