mathjs
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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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JavaScript
import { isBigNumber, isComplex, isFraction, isMatrix, isUnit } from '../../utils/is'
import { isFactory, stripOptionalNotation } from '../../utils/factory'
import { hasOwnProperty, isLegacyFactory, lazy, traverse } from '../../utils/object'
import { contains } from '../../utils/array'
import { ArgumentsError } from '../../error/ArgumentsError'
import { warnOnce } from '../../utils/log'
export function importFactory (typed, load, math, importedFactories) {
/**
* Import functions from an object or a module.
*
* This function is only available on a mathjs instance created using `create`.
*
* Syntax:
*
* math.import(functions)
* math.import(functions, options)
*
* Where:
*
* - `functions: Object`
* An object with functions or factories 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:
*
* import { create, all } from 'mathjs'
* import * as numbers from 'numbers'
*
* // create a mathjs instance
* const math = create(all)
*
* // 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(numbers, {wrap: true})
*
* math.fibonacci(7) // returns 13
*
* @param {Object | Array} functions Object with functions to be imported.
* @param {Object} [options] Import options.
*/
function mathImport (functions, options) {
const num = arguments.length
if (num !== 1 && num !== 2) {
throw new ArgumentsError('import', num, 1, 2)
}
if (!options) {
options = {}
}
function flattenImports (flatValues, value, name) {
if (isLegacyFactory(value)) {
// legacy factories don't always have a name,
// let's not handle them via the new flatValues
_importLegacyFactory(value, options)
} else if (Array.isArray(value)) {
value.forEach(item => flattenImports(flatValues, item))
} else if (typeof value === 'object') {
for (const name in value) {
if (hasOwnProperty(value, name)) {
flattenImports(flatValues, value[name], name)
}
}
} else if (isFactory(value) || name !== undefined) {
const flatName = isFactory(value)
? isTransformFunctionFactory(value)
? (value.fn + '.transform') // TODO: this is ugly
: value.fn
: name
// we allow importing the same function twice if it points to the same implementation
if (hasOwnProperty(flatValues, flatName) && flatValues[flatName] !== value && !options.silent) {
throw new Error('Cannot import "' + flatName + '" twice')
}
flatValues[flatName] = value
} else {
if (!options.silent) {
throw new TypeError('Factory, Object, or Array expected')
}
}
}
const flatValues = {}
flattenImports(flatValues, functions)
for (const name in flatValues) {
if (hasOwnProperty(flatValues, name)) {
// console.log('import', name)
const value = flatValues[name]
if (isFactory(value)) {
// we ignore name here and enforce the name of the factory
// maybe at some point we do want to allow overriding it
// in that case we can implement an option overrideFactoryNames: true
_importFactory(value, options)
} else if (isSupportedType(value)) {
_import(name, value, options)
} else {
if (!options.silent) {
throw new TypeError('Factory, Object, or Array expected')
}
}
}
}
}
/**
* Add a property to the math namespace
* @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)
}
// turn a plain function with a typed-function signature into a typed-function
if (hasTypedFunctionSignature(value)) {
value = typed(name, {
[value.signature]: 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
delete importedFactories[name]
_importTransform(name, value)
math.emit('import', name, function resolver () {
return value
})
return
}
if (math[name] === undefined || options.override) {
math[name] = value
delete importedFactories[name]
_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
*/
// TODO: _importLegacyFactory is deprecated since v6.0.0, clean up some day
function _importLegacyFactory (factory, options) {
warnOnce('Factories of type { name, factory } are deprecated since v6. ' +
'Please create your factory functions using the math.factory function.')
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 = hasOwnProperty(namespace, 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) {
return existing
} else {
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' || legacyFactoryAllowedInExpressions(factory)) {
lazy(math.expression.mathWithTransform, name, resolver)
}
}
} else {
namespace[name] = resolver()
if (existingTransform) {
_deleteTransform(name)
} else {
if (factory.path === 'expression.transform' || legacyFactoryAllowedInExpressions(factory)) {
math.expression.mathWithTransform[name] = resolver()
}
}
}
const key = factory.path ? (factory.path + '.' + factory.name) : factory.name
importedFactories[key] = factory
math.emit('import', name, resolver, factory.path)
} else {
// unnamed factory.
// no lazy loading
load(factory)
}
}
/**
* Import an instance of a factory into math.js
* @param {function(scope: object)} factory
* @param {Object} options See import for a description of the options
* @param {string} [name=factory.name] Optional custom name
* @private
*/
function _importFactory (factory, options, name = factory.fn) {
if (contains(name, '.')) {
throw new Error('Factory name should not contain a nested path. ' +
'Name: ' + JSON.stringify(name))
}
const namespace = isTransformFunctionFactory(factory)
? math.expression.transform
: math
const existingTransform = name in math.expression.transform
const existing = hasOwnProperty(namespace, name) ? namespace[name] : undefined
const resolver = function () {
// collect all dependencies, handle finding both functions and classes and other special cases
const dependencies = {}
factory.dependencies
.map(stripOptionalNotation)
.forEach(dependency => {
if (contains(dependency, '.')) {
throw new Error('Factory dependency should not contain a nested path. ' +
'Name: ' + JSON.stringify(dependency))
}
if (dependency === 'math') {
dependencies.math = math
} else if (dependency === 'mathWithTransform') {
dependencies.mathWithTransform = math.expression.mathWithTransform
} else if (dependency === 'classes') { // special case for json reviver
dependencies.classes = math
} else {
dependencies[dependency] = math[dependency]
}
})
const instance = /* #__PURE__ */ factory(dependencies)
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 (existing === undefined || options.override) {
return instance
}
if (isTypedFunction(existing) && isTypedFunction(instance)) {
// merge the existing and new typed function
return typed(existing, instance)
}
if (options.silent) {
// keep existing, ignore imported function
return existing
} else {
throw new Error('Cannot import "' + name + '": already exists')
}
}
// TODO: add unit test with non-lazy factory
if (!factory.meta || factory.meta.lazy !== false) {
lazy(namespace, name, resolver)
// FIXME: remove the `if (existing &&` condition again. Can we make sure subset is loaded before subset.transform? (Name collision, and no dependencies between the two)
if (existing && existingTransform) {
_deleteTransform(name)
} else {
if (isTransformFunctionFactory(factory) || factoryAllowedInExpressions(factory)) {
lazy(math.expression.mathWithTransform, name, () => namespace[name])
}
}
} else {
namespace[name] = resolver()
// FIXME: remove the `if (existing &&` condition again. Can we make sure subset is loaded before subset.transform? (Name collision, and no dependencies between the two)
if (existing && existingTransform) {
_deleteTransform(name)
} else {
if (isTransformFunctionFactory(factory) || factoryAllowedInExpressions(factory)) {
lazy(math.expression.mathWithTransform, name, () => namespace[name])
}
}
}
// TODO: improve factories, store a list with imports instead which can be re-played
importedFactories[name] = factory
math.emit('import', name, resolver)
}
/**
* 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 ||
isUnit(object) ||
isComplex(object) ||
isBigNumber(object) ||
isFraction(object) ||
isMatrix(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 hasTypedFunctionSignature (fn) {
return typeof fn === 'function' && typeof fn.signature === 'string'
}
function allowedInExpressions (name) {
return !hasOwnProperty(unsafe, name)
}
function legacyFactoryAllowedInExpressions (factory) {
return factory.path === undefined && !hasOwnProperty(unsafe, factory.name)
}
function factoryAllowedInExpressions (factory) {
return factory.fn.indexOf('.') === -1 && // FIXME: make checking on path redundant, check on meta data instead
!hasOwnProperty(unsafe, factory.fn) &&
(!factory.meta || !factory.meta.isClass)
}
function isTransformFunctionFactory (factory) {
return (factory !== undefined &&
factory.meta !== undefined &&
factory.meta.isTransformFunction === true) || false
}
// 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
}