'use strict'; var latex = require('../../utils/latex'); var map = require('../../utils/array').map; var escape = require('../../utils/string').escape; var isSafeMethod = require('../../utils/customs').isSafeMethod; var getSafeProperty = require('../../utils/customs').getSafeProperty; var operators = require('../operators'); function factory (type, config, load, typed) { var Node = load(require('./Node')); /** * @constructor OperatorNode * @extends {Node} * An operator with two arguments, like 2+3 * * @param {string} op Operator name, for example '+' * @param {string} fn Function name, for example 'add' * @param {Node[]} args Operator arguments * @param {boolean} [implicit] Is this an implicit multiplication? */ function OperatorNode(op, fn, args, implicit) { if (!(this instanceof OperatorNode)) { throw new SyntaxError('Constructor must be called with the new operator'); } //validate input if (typeof op !== 'string') { throw new TypeError('string expected for parameter "op"'); } if (typeof fn !== 'string') { throw new TypeError('string expected for parameter "fn"'); } if (!Array.isArray(args) || !args.every(type.isNode)) { throw new TypeError('Array containing Nodes expected for parameter "args"'); } this.implicit = (implicit === true); this.op = op; this.fn = fn; this.args = args || []; } OperatorNode.prototype = new Node(); OperatorNode.prototype.type = 'OperatorNode'; OperatorNode.prototype.isOperatorNode = true; /** * Compile a node into a JavaScript function. * This basically pre-calculates as much as possible and only leaves open * calculations which depend on a dynamic scope with variables. * @param {Object} math Math.js namespace with functions and constants. * @param {Object} argNames An object with argument names as key and `true` * as value. Used in the SymbolNode to optimize * for arguments from user assigned functions * (see FunctionAssignmentNode) or special symbols * like `end` (see IndexNode). * @return {function} Returns a function which can be called like: * evalNode(scope: Object, args: Object, context: *) */ OperatorNode.prototype._compile = function (math, argNames) { // validate fn if (typeof this.fn !== 'string' || !isSafeMethod(math, this.fn)) { if (!math[this.fn]) { throw new Error('Function ' + this.fn + ' missing in provided namespace "math"'); } else { throw new Error('No access to function "' + this.fn + '"'); } } var fn = getSafeProperty(math, this.fn); var evalArgs = map(this.args, function (arg) { return arg._compile(math, argNames); }); if (evalArgs.length === 1) { var evalArg0 = evalArgs[0]; return function evalOperatorNode(scope, args, context) { return fn(evalArg0(scope, args, context)); }; } else if (evalArgs.length === 2) { var evalArg0 = evalArgs[0]; var evalArg1 = evalArgs[1]; return function evalOperatorNode(scope, args, context) { return fn(evalArg0(scope, args, context), evalArg1(scope, args, context)) }; } else { return function evalOperatorNode(scope, args, context) { return fn.apply(null, map(evalArgs, function (evalArg) { return evalArg(scope, args, context) })); }; } } /** * Execute a callback for each of the child nodes of this node * @param {function(child: Node, path: string, parent: Node)} callback */ OperatorNode.prototype.forEach = function (callback) { for (var i = 0; i < this.args.length; i++) { callback(this.args[i], 'args[' + i + ']', this); } }; /** * Create a new OperatorNode having it's childs be the results of calling * the provided callback function for each of the childs of the original node. * @param {function(child: Node, path: string, parent: Node): Node} callback * @returns {OperatorNode} Returns a transformed copy of the node */ OperatorNode.prototype.map = function (callback) { var args = []; for (var i = 0; i < this.args.length; i++) { args[i] = this._ifNode(callback(this.args[i], 'args[' + i + ']', this)); } return new OperatorNode(this.op, this.fn, args, this.implicit); }; /** * Create a clone of this node, a shallow copy * @return {OperatorNode} */ OperatorNode.prototype.clone = function () { return new OperatorNode(this.op, this.fn, this.args.slice(0), this.implicit); }; /** * Check whether this is an unary OperatorNode: * has exactly one argument, like `-a`. * @return {boolean} Returns true when an unary operator node, false otherwise. */ OperatorNode.prototype.isUnary = function () { return this.args.length === 1; }; /** * Check whether this is a binary OperatorNode: * has exactly two arguments, like `a + b`. * @return {boolean} Returns true when a binary operator node, false otherwise. */ OperatorNode.prototype.isBinary = function () { return this.args.length === 2; }; /** * Calculate which parentheses are necessary. Gets an OperatorNode * (which is the root of the tree) and an Array of Nodes * (this.args) and returns an array where 'true' means that an argument * has to be enclosed in parentheses whereas 'false' means the opposite. * * @param {OperatorNode} root * @param {string} parenthesis * @param {Node[]} args * @param {boolean} latex * @return {boolean[]} * @private */ function calculateNecessaryParentheses(root, parenthesis, implicit, args, latex) { //precedence of the root OperatorNode var precedence = operators.getPrecedence(root, parenthesis); var associativity = operators.getAssociativity(root, parenthesis); if ((parenthesis === 'all') || ((args.length > 2) && (root.getIdentifier() !== 'OperatorNode:add') && (root.getIdentifier() !== 'OperatorNode:multiply'))) { var parens = args.map(function (arg) { switch (arg.getContent().type) { //Nodes that don't need extra parentheses case 'ArrayNode': case 'ConstantNode': case 'SymbolNode': case 'ParenthesisNode': return false; break; default: return true; } }); return parens; } var result = undefined; switch (args.length) { case 0: result = []; break; case 1: //unary operators //precedence of the operand var operandPrecedence = operators.getPrecedence(args[0], parenthesis); //handle special cases for LaTeX, where some of the parentheses aren't needed if (latex && (operandPrecedence !== null)) { var operandIdentifier; var rootIdentifier; if (parenthesis === 'keep') { operandIdentifier = args[0].getIdentifier(); rootIdentifier = root.getIdentifier(); } else { //Ignore Parenthesis Nodes when not in 'keep' mode operandIdentifier = args[0].getContent().getIdentifier(); rootIdentifier = root.getContent().getIdentifier(); } if (operators.properties[precedence][rootIdentifier].latexLeftParens === false) { result = [false]; break; } if (operators.properties[operandPrecedence][operandIdentifier].latexParens === false) { result = [false]; break; } } if (operandPrecedence === null) { //if the operand has no defined precedence, no parens are needed result = [false]; break; } if (operandPrecedence <= precedence) { //if the operands precedence is lower, parens are needed result = [true]; break; } //otherwise, no parens needed result = [false]; break; case 2: //binary operators var lhsParens; //left hand side needs parenthesis? //precedence of the left hand side var lhsPrecedence = operators.getPrecedence(args[0], parenthesis); //is the root node associative with the left hand side var assocWithLhs = operators.isAssociativeWith(root, args[0], parenthesis); if (lhsPrecedence === null) { //if the left hand side has no defined precedence, no parens are needed //FunctionNode for example lhsParens = false; } else if ((lhsPrecedence === precedence) && (associativity === 'right') && !assocWithLhs) { //In case of equal precedence, if the root node is left associative // parens are **never** necessary for the left hand side. //If it is right associative however, parens are necessary //if the root node isn't associative with the left hand side lhsParens = true; } else if (lhsPrecedence < precedence) { lhsParens = true; } else { lhsParens = false; } var rhsParens; //right hand side needs parenthesis? //precedence of the right hand side var rhsPrecedence = operators.getPrecedence(args[1], parenthesis); //is the root node associative with the right hand side? var assocWithRhs = operators.isAssociativeWith(root, args[1], parenthesis); if (rhsPrecedence === null) { //if the right hand side has no defined precedence, no parens are needed //FunctionNode for example rhsParens = false; } else if ((rhsPrecedence === precedence) && (associativity === 'left') && !assocWithRhs) { //In case of equal precedence, if the root node is right associative // parens are **never** necessary for the right hand side. //If it is left associative however, parens are necessary //if the root node isn't associative with the right hand side rhsParens = true; } else if (rhsPrecedence < precedence) { rhsParens = true; } else { rhsParens = false; } //handle special cases for LaTeX, where some of the parentheses aren't needed if (latex) { var rootIdentifier; var lhsIdentifier; var rhsIdentifier; if (parenthesis === 'keep') { rootIdentifier = root.getIdentifier(); lhsIdentifier = root.args[0].getIdentifier(); rhsIdentifier = root.args[1].getIdentifier(); } else { //Ignore ParenthesisNodes when not in 'keep' mode rootIdentifier = root.getContent().getIdentifier(); lhsIdentifier = root.args[0].getContent().getIdentifier(); rhsIdentifier = root.args[1].getContent().getIdentifier(); } if (lhsPrecedence !== null) { if (operators.properties[precedence][rootIdentifier].latexLeftParens === false) { lhsParens = false; } if (operators.properties[lhsPrecedence][lhsIdentifier].latexParens === false) { lhsParens = false; } } if (rhsPrecedence !== null) { if (operators.properties[precedence][rootIdentifier].latexRightParens === false) { rhsParens = false; } if (operators.properties[rhsPrecedence][rhsIdentifier].latexParens === false) { rhsParens = false; } } } result = [lhsParens, rhsParens]; break; default: if ((root.getIdentifier() === 'OperatorNode:add') || (root.getIdentifier() === 'OperatorNode:multiply')) { var result = args.map(function (arg) { var argPrecedence = operators.getPrecedence(arg, parenthesis); var assocWithArg = operators.isAssociativeWith(root, arg, parenthesis); var argAssociativity = operators.getAssociativity(arg, parenthesis); if (argPrecedence === null) { //if the argument has no defined precedence, no parens are needed return false; } else if ((precedence === argPrecedence) && (associativity === argAssociativity) && !assocWithArg) { return true; } else if (argPrecedence < precedence) { return true; } return false; }); } break; } //handles an edge case of 'auto' parentheses with implicit multiplication of ConstantNode //In that case print parentheses for ParenthesisNodes even though they normally wouldn't be //printed. if ((args.length >= 2) && (root.getIdentifier() === 'OperatorNode:multiply') && root.implicit && (parenthesis === 'auto') && (implicit === 'hide')) { result = args.map(function (arg, index) { var isParenthesisNode = (arg.getIdentifier() === 'ParenthesisNode'); if (result[index] || isParenthesisNode) { //put in parenthesis? return true; } return false; }); } return result; } /** * Get string representation. * @param {Object} options * @return {string} str */ OperatorNode.prototype._toString = function (options) { var parenthesis = (options && options.parenthesis) ? options.parenthesis : 'keep'; var implicit = (options && options.implicit) ? options.implicit : 'hide'; var args = this.args; var parens = calculateNecessaryParentheses(this, parenthesis, implicit, args, false); if (args.length === 1) { //unary operators var assoc = operators.getAssociativity(this, parenthesis); var operand = args[0].toString(options); if (parens[0]) { operand = '(' + operand + ')'; } if (assoc === 'right') { //prefix operator return this.op + operand; } else if (assoc === 'left') { //postfix return operand + this.op; } //fall back to postfix return operand + this.op; } else if (args.length == 2) { var lhs = args[0].toString(options); //left hand side var rhs = args[1].toString(options); //right hand side if (parens[0]) { //left hand side in parenthesis? lhs = '(' + lhs + ')'; } if (parens[1]) { //right hand side in parenthesis? rhs = '(' + rhs + ')'; } if (this.implicit && (this.getIdentifier() === 'OperatorNode:multiply') && (implicit == 'hide')) { return lhs + ' ' + rhs; } return lhs + ' ' + this.op + ' ' + rhs; } else if ((args.length > 2) && ((this.getIdentifier() === 'OperatorNode:add') || (this.getIdentifier() === 'OperatorNode:multiply'))) { var stringifiedArgs = args.map(function (arg, index) { arg = arg.toString(options); if (parens[index]) { //put in parenthesis? arg = '(' + arg + ')'; } return arg; }); if (this.implicit && (this.getIdentifier() === 'OperatorNode:multiply') && (implicit === 'hide')) { return stringifiedArgs.join(' '); } return stringifiedArgs.join(' ' + this.op + ' '); } else { //fallback to formatting as a function call return this.fn + '(' + this.args.join(', ') + ')'; } }; /** * Get HTML representation. * @param {Object} options * @return {string} str */ OperatorNode.prototype.toHTML = function (options) { var parenthesis = (options && options.parenthesis) ? options.parenthesis : 'keep'; var implicit = (options && options.implicit) ? options.implicit : 'hide'; var args = this.args; var parens = calculateNecessaryParentheses(this, parenthesis, implicit, args, false); if (args.length === 1) { //unary operators var assoc = operators.getAssociativity(this, parenthesis); var operand = args[0].toHTML(options); if (parens[0]) { operand = '(' + operand + ')'; } if (assoc === 'right') { //prefix operator return '' + escape(this.op) + '' + operand; } else if (assoc === 'left') { //postfix return '' + escape(this.op) + '' + operand; } //fall back to postfix return '' + escape(this.op) + '' + operand; } else if (args.length == 2) { // binary operatoes var lhs = args[0].toHTML(options); //left hand side var rhs = args[1].toHTML(options); //right hand side if (parens[0]) { //left hand side in parenthesis? lhs = '(' + lhs + ')'; } if (parens[1]) { //right hand side in parenthesis? rhs = '(' + rhs + ')'; } if (this.implicit && (this.getIdentifier() === 'OperatorNode:multiply') && (implicit == 'hide')) { return lhs + '' + rhs; } return lhs + '' + escape(this.op) + '' + rhs; } else if ((args.length > 2) && ((this.getIdentifier() === 'OperatorNode:add') || (this.getIdentifier() === 'OperatorNode:multiply'))) { var stringifiedArgs = args.map(function (arg, index) { arg = arg.toHTML(options); if (parens[index]) { //put in parenthesis? arg = '(' + arg + ')'; } return arg; }); if (this.implicit && (this.getIdentifier() === 'OperatorNode:multiply') && (implicit === 'hide')) { return stringifiedArgs.join(''); } return stringifiedArgs.join('' + escape(this.op) + ''); } else { //fallback to formatting as a function call return '' + escape(this.fn) + '(' + stringifiedArgs.join(',') + ')'; } }; /** * Get LaTeX representation * @param {Object} options * @return {string} str */ OperatorNode.prototype._toTex = function (options) { var parenthesis = (options && options.parenthesis) ? options.parenthesis : 'keep'; var implicit = (options && options.implicit) ? options.implicit : 'hide'; var args = this.args; var parens = calculateNecessaryParentheses(this, parenthesis, implicit, args, true); var op = latex.operators[this.fn]; op = typeof op === 'undefined' ? this.op : op; //fall back to using this.op if (args.length === 1) { //unary operators var assoc = operators.getAssociativity(this, parenthesis); var operand = args[0].toTex(options); if (parens[0]) { operand = '\\left(' + operand + '\\right)'; } if (assoc === 'right') { //prefix operator return op + operand; } else if (assoc === 'left') { //postfix operator return operand + op; } //fall back to postfix return operand + op; } else if (args.length === 2) { //binary operators var lhs = args[0]; //left hand side var lhsTex = lhs.toTex(options); if (parens[0]) { lhsTex = '\\left(' + lhsTex + '\\right)'; } var rhs = args[1]; //right hand side var rhsTex = rhs.toTex(options); if (parens[1]) { rhsTex = '\\left(' + rhsTex + '\\right)'; } //handle some exceptions (due to the way LaTeX works) var lhsIdentifier; if (parenthesis === 'keep') { lhsIdentifier = lhs.getIdentifier(); } else { //Ignore ParenthesisNodes if in 'keep' mode lhsIdentifier = lhs.getContent().getIdentifier(); } switch (this.getIdentifier()) { case 'OperatorNode:divide': //op contains '\\frac' at this point return op + '{' + lhsTex + '}' + '{' + rhsTex + '}'; case 'OperatorNode:pow': lhsTex = '{' + lhsTex + '}'; rhsTex = '{' + rhsTex + '}'; switch (lhsIdentifier) { case 'ConditionalNode': // case 'OperatorNode:divide': lhsTex = '\\left(' + lhsTex + '\\right)'; } case 'OperatorNode:multiply': if (this.implicit && (implicit === 'hide')) { return lhsTex + '~' + rhsTex; } } return lhsTex + op + rhsTex; } else if ((args.length > 2) && ((this.getIdentifier() === 'OperatorNode:add') || (this.getIdentifier() === 'OperatorNode:multiply'))) { var texifiedArgs = args.map(function (arg, index) { arg = arg.toTex(options); if (parens[index]) { arg = '\\left(' + arg + '\\right)'; } return arg; }); if ((this.getIdentifier() === 'OperatorNode:multiply') && this.implicit) { return texifiedArgs.join('~'); } return texifiedArgs.join(op) } else { //fall back to formatting as a function call //as this is a fallback, it doesn't use //fancy function names return '\\mathrm{' + this.fn + '}\\left(' + args.map(function (arg) { return arg.toTex(options); }).join(',') + '\\right)'; } }; /** * Get identifier. * @return {string} */ OperatorNode.prototype.getIdentifier = function () { return this.type + ':' + this.fn; }; return OperatorNode; } exports.name = 'OperatorNode'; exports.path = 'expression.node'; exports.factory = factory;