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
;
function _typeof(obj) { if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); }
var lazy = require('../../utils/object').lazy;
var isFactory = require('../../utils/object').isFactory;
var traverse = require('../../utils/object').traverse;
var 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) {
var 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 (var name in object) {
if (object.hasOwnProperty(name)) {
var 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) {
var wrapper = function wrapper() {
var args = [];
for (var i = 0, len = arguments.length; i < len; i++) {
var 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') {
var name = factory.name;
var existingTransform = name in math.expression.transform;
var namespace = factory.path ? traverse(math, factory.path) : math;
var existing = namespace.hasOwnProperty(name) ? namespace[name] : undefined;
var resolver = function resolver() {
var 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
var 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;