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@khanacademy/kas

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A lightweight JavaScript CAS for comparing expressions and equations.

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'use strict'; Object.defineProperty(exports, '__esModule', { value: true }); var perseusUtils = require('@khanacademy/perseus-utils'); var _ = require('underscore'); function _interopDefaultCompat (e) { return e && typeof e === 'object' && 'default' in e ? e : { default: e }; } var ___default = /*#__PURE__*/_interopDefaultCompat(_); // This file is processed by a Rollup plugin (replace) to inject the production // version number during the release build. // In dev, you'll never see the version number. const libName = "@khanacademy/kas"; const libVersion = "2.0.0"; perseusUtils.addLibraryVersionToPerseusDebug(libName, libVersion); // this is a @generated file /* parser generated by jison 0.4.15 */ /* Returns a Parser object of the following structure: Parser: { yy: {} } Parser.prototype: { yy: {}, trace: function(), symbols_: {associative list: name ==> number}, terminals_: {associative list: number ==> name}, productions_: [...], performAction: function anonymous(yytext, yyleng, yylineno, yy, yystate, $$, _$), table: [...], defaultActions: {...}, parseError: function(str, hash), parse: function(input), lexer: { EOF: 1, parseError: function(str, hash), setInput: function(input), input: function(), unput: function(str), more: function(), less: function(n), pastInput: function(), upcomingInput: function(), showPosition: function(), test_match: function(regex_match_array, rule_index), next: function(), lex: function(), begin: function(condition), popState: function(), _currentRules: function(), topState: function(), pushState: function(condition), options: { ranges: boolean (optional: true ==> token location info will include a .range[] member) flex: boolean (optional: true ==> flex-like lexing behaviour where the rules are tested exhaustively to find the longest match) backtrack_lexer: boolean (optional: true ==> lexer regexes are tested in order and for each matching regex the action code is invoked; the lexer terminates the scan when a token is returned by the action code) }, performAction: function(yy, yy_, $avoiding_name_collisions, YY_START), rules: [...], conditions: {associative list: name ==> set}, } } token location info (@$, _$, etc.): { first_line: n, last_line: n, first_column: n, last_column: n, range: [start_number, end_number] (where the numbers are indexes into the input string, regular zero-based) } the parseError function receives a 'hash' object with these members for lexer and parser errors: { text: (matched text) token: (the produced terminal token, if any) line: (yylineno) } while parser (grammar) errors will also provide these members, i.e. parser errors deliver a superset of attributes: { loc: (yylloc) expected: (string describing the set of expected tokens) recoverable: (boolean: TRUE when the parser has a error recovery rule available for this particular error) } */ var parser$1 = function () { var o = function (k, v, o, l) { for (o = o || {}, l = k.length; l--; o[k[l]] = v); return o; }, $V0 = [1, 11], $V1 = [1, 9], $V2 = [8, 17], $V3 = [6, 11], $V4 = [6, 11, 13, 17]; var parser = { trace: function trace() {}, yy: {}, symbols_: { "error": 2, "unitvalue": 3, "magnitude": 4, "unit": 5, "EOF": 6, "float": 7, "POW": 8, "int": 9, "multatoms": 10, "DIV": 11, "expatom": 12, "MUL": 13, "atom": 14, "^": 15, "nat": 16, "ATOM": 17, "FLOAT": 18, "NAT": 19, "NEG": 20, "$accept": 0, "$end": 1 }, terminals_: { 2: "error", 6: "EOF", 8: "POW", 11: "DIV", 13: "MUL", 15: "^", 17: "ATOM", 18: "FLOAT", 19: "NAT", 20: "NEG" }, productions_: [0, [3, 3], [3, 2], [4, 3], [4, 1], [5, 3], [5, 1], [10, 3], [10, 2], [10, 1], [12, 3], [12, 1], [14, 1], [7, 1], [7, 1], [16, 1], [9, 2], [9, 1]], performAction: function anonymous(yytext, yyleng, yylineno, yy, yystate /* action[1] */, $$ /* vstack */, _$ /* lstack */) { /* this == yyval */ var $0 = $$.length - 1; switch (yystate) { case 1: return { type: "unitMagnitude", magnitude: $$[$0 - 2], unit: $$[$0 - 1] }; case 2: return { type: "unitStandalone", unit: $$[$0 - 1] }; case 3: this.$ = $$[$0 - 2] + "e" + $$[$0]; break; case 4: case 13: case 14: case 15: case 17: this.$ = $$[$0]; break; case 5: this.$ = { num: $$[$0 - 2], denom: $$[$0] }; break; case 6: this.$ = { num: $$[$0], denom: null }; break; case 7: this.$ = [$$[$0 - 2]].concat($$[$0]); break; case 8: this.$ = [$$[$0 - 1]].concat($$[$0]); break; case 9: this.$ = [$$[$0]]; break; case 10: this.$ = { name: $$[$0 - 2], pow: $$[$0] }; break; case 11: this.$ = { name: $$[$0], pow: 1 }; break; case 12: this.$ = yytext; break; case 16: this.$ = "-" + $$[$0]; break; } }, table: [{ 3: 1, 4: 2, 5: 3, 7: 4, 10: 5, 12: 8, 14: 10, 16: 7, 17: $V0, 18: [1, 6], 19: $V1 }, { 1: [3] }, { 5: 12, 10: 5, 12: 8, 14: 10, 17: $V0 }, { 6: [1, 13] }, { 8: [1, 14], 17: [2, 4] }, { 6: [2, 6], 11: [1, 15] }, o($V2, [2, 13]), o($V2, [2, 14]), o($V3, [2, 9], { 12: 8, 14: 10, 10: 17, 13: [1, 16], 17: $V0 }), o([6, 8, 11, 13, 17], [2, 15]), o($V4, [2, 11], { 15: [1, 18] }), o([6, 11, 13, 15, 17], [2, 12]), { 6: [1, 19] }, { 1: [2, 2] }, { 9: 20, 19: [1, 22], 20: [1, 21] }, { 10: 23, 12: 8, 14: 10, 17: $V0 }, { 10: 24, 12: 8, 14: 10, 17: $V0 }, o($V3, [2, 8]), { 16: 25, 19: $V1 }, { 1: [2, 1] }, { 17: [2, 3] }, { 19: [1, 26] }, { 17: [2, 17] }, { 6: [2, 5] }, o($V3, [2, 7]), o($V4, [2, 10]), { 17: [2, 16] }], defaultActions: { 13: [2, 2], 19: [2, 1], 20: [2, 3], 22: [2, 17], 23: [2, 5], 26: [2, 16] }, parseError: function parseError(str, hash) { if (hash.recoverable) { this.trace(str); } else { throw new Error(str); } }, parse: function parse(input) { var self = this, stack = [0], vstack = [null], lstack = [], table = this.table, yytext = '', yylineno = 0, yyleng = 0, TERROR = 2, EOF = 1; var args = lstack.slice.call(arguments, 1); var lexer = Object.create(this.lexer); var sharedState = { yy: {} }; for (var k in this.yy) { if (Object.prototype.hasOwnProperty.call(this.yy, k)) { sharedState.yy[k] = this.yy[k]; } } lexer.setInput(input, sharedState.yy); sharedState.yy.lexer = lexer; sharedState.yy.parser = this; if (typeof lexer.yylloc == 'undefined') { lexer.yylloc = {}; } var yyloc = lexer.yylloc; lstack.push(yyloc); var ranges = lexer.options && lexer.options.ranges; if (typeof sharedState.yy.parseError === 'function') { this.parseError = sharedState.yy.parseError; } else { this.parseError = Object.getPrototypeOf(this).parseError; } //_token_stack: function lex() { var token; token = lexer.lex() || EOF; if (typeof token !== 'number') { token = self.symbols_[token] || token; } return token; } var symbol, state, action, r, yyval = {}, p, len, newState, expected; while (true) { state = stack[stack.length - 1]; if (this.defaultActions[state]) { action = this.defaultActions[state]; } else { if (symbol === null || typeof symbol == 'undefined') { symbol = lex(); } action = table[state] && table[state][symbol]; } if (typeof action === 'undefined' || !action.length || !action[0]) { var errStr = ''; expected = []; for (p in table[state]) { if (this.terminals_[p] && p > TERROR) { expected.push('\'' + this.terminals_[p] + '\''); } } if (lexer.showPosition) { errStr = 'Parse error on line ' + (yylineno + 1) + ':\n' + lexer.showPosition() + '\nExpecting ' + expected.join(', ') + ', got \'' + (this.terminals_[symbol] || symbol) + '\''; } else { errStr = 'Parse error on line ' + (yylineno + 1) + ': Unexpected ' + (symbol == EOF ? 'end of input' : '\'' + (this.terminals_[symbol] || symbol) + '\''); } this.parseError(errStr, { text: lexer.match, token: this.terminals_[symbol] || symbol, line: lexer.yylineno, loc: yyloc, expected: expected }); } if (action[0] instanceof Array && action.length > 1) { throw new Error('Parse Error: multiple actions possible at state: ' + state + ', token: ' + symbol); } switch (action[0]) { case 1: stack.push(symbol); vstack.push(lexer.yytext); lstack.push(lexer.yylloc); stack.push(action[1]); symbol = null; { yyleng = lexer.yyleng; yytext = lexer.yytext; yylineno = lexer.yylineno; yyloc = lexer.yylloc; } break; case 2: len = this.productions_[action[1]][1]; yyval.$ = vstack[vstack.length - len]; yyval._$ = { first_line: lstack[lstack.length - (len || 1)].first_line, last_line: lstack[lstack.length - 1].last_line, first_column: lstack[lstack.length - (len || 1)].first_column, last_column: lstack[lstack.length - 1].last_column }; if (ranges) { yyval._$.range = [lstack[lstack.length - (len || 1)].range[0], lstack[lstack.length - 1].range[1]]; } r = this.performAction.apply(yyval, [yytext, yyleng, yylineno, sharedState.yy, action[1], vstack, lstack].concat(args)); if (typeof r !== 'undefined') { return r; } if (len) { stack = stack.slice(0, -1 * len * 2); vstack = vstack.slice(0, -1 * len); lstack = lstack.slice(0, -1 * len); } stack.push(this.productions_[action[1]][0]); vstack.push(yyval.$); lstack.push(yyval._$); newState = table[stack[stack.length - 2]][stack[stack.length - 1]]; stack.push(newState); break; case 3: return true; } } return true; } }; /* generated by jison-lex 0.3.4 */ var lexer = function () { var lexer = { EOF: 1, parseError: function parseError(str, hash) { if (this.yy.parser) { this.yy.parser.parseError(str, hash); } else { throw new Error(str); } }, // resets the lexer, sets new input setInput: function (input, yy) { this.yy = yy || this.yy || {}; this._input = input; this._more = this._backtrack = this.done = false; this.yylineno = this.yyleng = 0; this.yytext = this.matched = this.match = ''; this.conditionStack = ['INITIAL']; this.yylloc = { first_line: 1, first_column: 0, last_line: 1, last_column: 0 }; if (this.options.ranges) { this.yylloc.range = [0, 0]; } this.offset = 0; return this; }, // consumes and returns one char from the input input: function () { var ch = this._input[0]; this.yytext += ch; this.yyleng++; this.offset++; this.match += ch; this.matched += ch; var lines = ch.match(/(?:\r\n?|\n).*/g); if (lines) { this.yylineno++; this.yylloc.last_line++; } else { this.yylloc.last_column++; } if (this.options.ranges) { this.yylloc.range[1]++; } this._input = this._input.slice(1); return ch; }, // unshifts one char (or a string) into the input unput: function (ch) { var len = ch.length; var lines = ch.split(/(?:\r\n?|\n)/g); this._input = ch + this._input; this.yytext = this.yytext.substr(0, this.yytext.length - len); //this.yyleng -= len; this.offset -= len; var oldLines = this.match.split(/(?:\r\n?|\n)/g); this.match = this.match.substr(0, this.match.length - 1); this.matched = this.matched.substr(0, this.matched.length - 1); if (lines.length - 1) { this.yylineno -= lines.length - 1; } var r = this.yylloc.range; this.yylloc = { first_line: this.yylloc.first_line, last_line: this.yylineno + 1, first_column: this.yylloc.first_column, last_column: lines ? (lines.length === oldLines.length ? this.yylloc.first_column : 0) + oldLines[oldLines.length - lines.length].length - lines[0].length : this.yylloc.first_column - len }; if (this.options.ranges) { this.yylloc.range = [r[0], r[0] + this.yyleng - len]; } this.yyleng = this.yytext.length; return this; }, // When called from action, caches matched text and appends it on next action more: function () { this._more = true; return this; }, // When called from action, signals the lexer that this rule fails to match the input, so the next matching rule (regex) should be tested instead. reject: function () { if (this.options.backtrack_lexer) { this._backtrack = true; } else { return this.parseError('Lexical error on line ' + (this.yylineno + 1) + '. You can only invoke reject() in the lexer when the lexer is of the backtracking persuasion (options.backtrack_lexer = true).\n' + this.showPosition(), { text: "", token: null, line: this.yylineno }); } return this; }, // retain first n characters of the match less: function (n) { this.unput(this.match.slice(n)); }, // displays already matched input, i.e. for error messages pastInput: function () { var past = this.matched.substr(0, this.matched.length - this.match.length); return (past.length > 20 ? '...' : '') + past.substr(-20).replace(/\n/g, ""); }, // displays upcoming input, i.e. for error messages upcomingInput: function () { var next = this.match; if (next.length < 20) { next += this._input.substr(0, 20 - next.length); } return (next.substr(0, 20) + (next.length > 20 ? '...' : '')).replace(/\n/g, ""); }, // displays the character position where the lexing error occurred, i.e. for error messages showPosition: function () { var pre = this.pastInput(); var c = new Array(pre.length + 1).join("-"); return pre + this.upcomingInput() + "\n" + c + "^"; }, // test the lexed token: return FALSE when not a match, otherwise return token test_match: function (match, indexed_rule) { var token, lines, backup; if (this.options.backtrack_lexer) { // save context backup = { yylineno: this.yylineno, yylloc: { first_line: this.yylloc.first_line, last_line: this.last_line, first_column: this.yylloc.first_column, last_column: this.yylloc.last_column }, yytext: this.yytext, match: this.match, matches: this.matches, matched: this.matched, yyleng: this.yyleng, offset: this.offset, _more: this._more, _input: this._input, yy: this.yy, conditionStack: this.conditionStack.slice(0), done: this.done }; if (this.options.ranges) { backup.yylloc.range = this.yylloc.range.slice(0); } } lines = match[0].match(/(?:\r\n?|\n).*/g); if (lines) { this.yylineno += lines.length; } this.yylloc = { first_line: this.yylloc.last_line, last_line: this.yylineno + 1, first_column: this.yylloc.last_column, last_column: lines ? lines[lines.length - 1].length - lines[lines.length - 1].match(/\r?\n?/)[0].length : this.yylloc.last_column + match[0].length }; this.yytext += match[0]; this.match += match[0]; this.matches = match; this.yyleng = this.yytext.length; if (this.options.ranges) { this.yylloc.range = [this.offset, this.offset += this.yyleng]; } this._more = false; this._backtrack = false; this._input = this._input.slice(match[0].length); this.matched += match[0]; token = this.performAction.call(this, this.yy, this, indexed_rule, this.conditionStack[this.conditionStack.length - 1]); if (this.done && this._input) { this.done = false; } if (token) { return token; } else if (this._backtrack) { // recover context for (var k in backup) { this[k] = backup[k]; } return false; // rule action called reject() implying the next rule should be tested instead. } return false; }, // return next match in input next: function () { if (this.done) { return this.EOF; } if (!this._input) { this.done = true; } var token, match, tempMatch, index; if (!this._more) { this.yytext = ''; this.match = ''; } var rules = this._currentRules(); for (var i = 0; i < rules.length; i++) { tempMatch = this._input.match(this.rules[rules[i]]); if (tempMatch && (!match || tempMatch[0].length > match[0].length)) { match = tempMatch; index = i; if (this.options.backtrack_lexer) { token = this.test_match(tempMatch, rules[i]); if (token !== false) { return token; } else if (this._backtrack) { match = false; continue; // rule action called reject() implying a rule MISmatch. } else { // else: this is a lexer rule which consumes input without producing a token (e.g. whitespace) return false; } } else if (!this.options.flex) { break; } } } if (match) { token = this.test_match(match, rules[index]); if (token !== false) { return token; } // else: this is a lexer rule which consumes input without producing a token (e.g. whitespace) return false; } if (this._input === "") { return this.EOF; } else { return this.parseError('Lexical error on line ' + (this.yylineno + 1) + '. Unrecognized text.\n' + this.showPosition(), { text: "", token: null, line: this.yylineno }); } }, // return next match that has a token lex: function lex() { var r = this.next(); if (r) { return r; } else { return this.lex(); } }, // activates a new lexer condition state (pushes the new lexer condition state onto the condition stack) begin: function begin(condition) { this.conditionStack.push(condition); }, // pop the previously active lexer condition state off the condition stack popState: function popState() { var n = this.conditionStack.length - 1; if (n > 0) { return this.conditionStack.pop(); } else { return this.conditionStack[0]; } }, // produce the lexer rule set which is active for the currently active lexer condition state _currentRules: function _currentRules() { if (this.conditionStack.length && this.conditionStack[this.conditionStack.length - 1]) { return this.conditions[this.conditionStack[this.conditionStack.length - 1]].rules; } else { return this.conditions["INITIAL"].rules; } }, // return the currently active lexer condition state; when an index argument is provided it produces the N-th previous condition state, if available topState: function topState(n) { n = this.conditionStack.length - 1 - Math.abs(n || 0); if (n >= 0) { return this.conditionStack[n]; } else { return "INITIAL"; } }, // alias for begin(condition) pushState: function pushState(condition) { this.begin(condition); }, // return the number of states currently on the stack stateStackSize: function stateStackSize() { return this.conditionStack.length; }, options: {}, performAction: function anonymous(yy, yy_, $avoiding_name_collisions, YY_START) { switch ($avoiding_name_collisions) { case 0: return 11; case 1: return '('; case 2: return ')'; case 3: return 8; case 4: return 15; case 5: return 13; case 6: return 18; case 7: return 19; case 8: return 20; case 9: return 17; case 10: return 17; case 11: return 17; case 12: /* skip whitespace */ break; case 13: return 6; } }, rules: [/^(?:\/)/, /^(?:\()/, /^(?:\))/, /^(?:(\*|x|\u00d7|\u2219|\u22c5|\u00b7)\s*10\s*\^)/, /^(?:\^)/, /^(?:\*)/, /^(?:[0-9]+\.[0-9]+)/, /^(?:[0-9]+)/, /^(?:-)/, /^(?:\u00b0( ?)[cCfF])/, /^(?:fl\.? oz\.?)/, /^(?:[\u00b5]?([A-Za-z-]+|[\u2103\u2109\u212b]))/, /^(?:\s+)/, /^(?:$)/], conditions: { "INITIAL": { "rules": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "inclusive": true } } }; return lexer; }(); parser.lexer = lexer; function Parser() { this.yy = {}; } Parser.prototype = parser; parser.Parser = Parser; return new Parser(); }(); const unitParser = parser$1; // This is a @generated file /* parser generated by jison 0.4.15 */ /* Returns a Parser object of the following structure: Parser: { yy: {} } Parser.prototype: { yy: {}, trace: function(), symbols_: {associative list: name ==> number}, terminals_: {associative list: number ==> name}, productions_: [...], performAction: function anonymous(yytext, yyleng, yylineno, yy, yystate, $$, _$), table: [...], defaultActions: {...}, parseError: function(str, hash), parse: function(input), lexer: { EOF: 1, parseError: function(str, hash), setInput: function(input), input: function(), unput: function(str), more: function(), less: function(n), pastInput: function(), upcomingInput: function(), showPosition: function(), test_match: function(regex_match_array, rule_index), next: function(), lex: function(), begin: function(condition), popState: function(), _currentRules: function(), topState: function(), pushState: function(condition), options: { ranges: boolean (optional: true ==> token location info will include a .range[] member) flex: boolean (optional: true ==> flex-like lexing behaviour where the rules are tested exhaustively to find the longest match) backtrack_lexer: boolean (optional: true ==> lexer regexes are tested in order and for each matching regex the action code is invoked; the lexer terminates the scan when a token is returned by the action code) }, performAction: function(yy, yy_, $avoiding_name_collisions, YY_START), rules: [...], conditions: {associative list: name ==> set}, } } token location info (@$, _$, etc.): { first_line: n, last_line: n, first_column: n, last_column: n, range: [start_number, end_number] (where the numbers are indexes into the input string, regular zero-based) } the parseError function receives a 'hash' object with these members for lexer and parser errors: { text: (matched text) token: (the produced terminal token, if any) line: (yylineno) } while parser (grammar) errors will also provide these members, i.e. parser errors deliver a superset of attributes: { loc: (yylloc) expected: (string describing the set of expected tokens) recoverable: (boolean: TRUE when the parser has a error recovery rule available for this particular error) } */ var parser = function () { var o = function (k, v, o, l) { for (o = o || {}, l = k.length; l--; o[k[l]] = v); return o; }, $V0 = [1, 7], $V1 = [1, 17], $V2 = [1, 13], $V3 = [1, 14], $V4 = [1, 15], $V5 = [1, 32], $V6 = [1, 22], $V7 = [1, 23], $V8 = [1, 24], $V9 = [1, 25], $Va = [1, 26], $Vb = [1, 33], $Vc = [1, 27], $Vd = [1, 28], $Ve = [1, 29], $Vf = [1, 30], $Vg = [1, 20], $Vh = [1, 36], $Vi = [1, 37], $Vj = [5, 6, 8, 10, 33, 35, 41, 43, 45], $Vk = [1, 39], $Vl = [1, 40], $Vm = [5, 6, 8, 10, 12, 14, 16, 19, 21, 22, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 41, 42, 43, 44, 45, 46], $Vn = [10, 16, 19, 21, 22, 28, 29, 30, 31, 32, 34, 37, 39, 42, 43, 44, 46], $Vo = [5, 6, 8, 10, 12, 14, 16, 18, 19, 21, 22, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 41, 42, 43, 44, 45, 46]; var parser = { trace: function trace() {}, yy: {}, symbols_: { "error": 2, "equation": 3, "expression": 4, "SIGN": 5, "EOF": 6, "additive": 7, "+": 8, "multiplicative": 9, "-": 10, "triglog": 11, "*": 12, "negative": 13, "/": 14, "trig": 15, "TRIG": 16, "trigfunc": 17, "^": 18, "TRIGINV": 19, "logbase": 20, "ln": 21, "log": 22, "_": 23, "subscriptable": 24, "power": 25, "primitive": 26, "variable": 27, "VAR": 28, "CONST": 29, "INT": 30, "FLOAT": 31, "{": 32, "}": 33, "(": 34, ")": 35, "function": 36, "FUNC": 37, "invocation": 38, "sqrt": 39, "[": 40, "]": 41, "abs": 42, "|": 43, "LEFT|": 44, "RIGHT|": 45, "FRAC": 46, "$accept": 0, "$end": 1 }, terminals_: { 2: "error", 5: "SIGN", 6: "EOF", 8: "+", 10: "-", 12: "*", 14: "/", 16: "TRIG", 18: "^", 19: "TRIGINV", 21: "ln", 22: "log", 23: "_", 28: "VAR", 29: "CONST", 30: "INT", 31: "FLOAT", 32: "{", 33: "}", 34: "(", 35: ")", 37: "FUNC", 39: "sqrt", 40: "[", 41: "]", 42: "abs", 43: "|", 44: "LEFT|", 45: "RIGHT|", 46: "FRAC" }, productions_: [0, [3, 4], [3, 2], [3, 1], [4, 1], [7, 3], [7, 3], [7, 1], [9, 2], [9, 3], [9, 3], [9, 1], [13, 2], [13, 1], [15, 1], [17, 1], [17, 3], [17, 1], [20, 1], [20, 1], [20, 3], [11, 2], [11, 2], [11, 1], [25, 3], [25, 1], [27, 1], [24, 3], [24, 1], [24, 1], [24, 1], [24, 1], [24, 3], [24, 3], [36, 1], [38, 4], [38, 4], [38, 7], [38, 4], [38, 3], [38, 3], [38, 4], [26, 1], [26, 1], [26, 7]], performAction: function anonymous(yytext, yyleng, yylineno, yy, yystate /* action[1] */, $$ /* vstack */, _$ /* lstack */) { /* this == yyval */ var $0 = $$.length - 1; switch (yystate) { case 1: return new yy.Eq($$[$0 - 3], $$[$0 - 2], $$[$0 - 1]); case 2: return $$[$0 - 1]; case 3: return new yy.Add([]); case 4: case 7: case 11: case 13: case 15: case 20: case 23: case 25: case 42: case 43: this.$ = $$[$0]; break; case 5: this.$ = yy.Add.createOrAppend($$[$0 - 2], $$[$0]); break; case 6: this.$ = yy.Add.createOrAppend($$[$0 - 2], yy.Mul.handleNegative($$[$0], "subtract")); break; case 8: this.$ = yy.Mul.fold(yy.Mul.createOrAppend($$[$0 - 1], $$[$0])); break; case 9: this.$ = yy.Mul.fold(yy.Mul.createOrAppend($$[$0 - 2], $$[$0])); break; case 10: this.$ = yy.Mul.fold(yy.Mul.handleDivide($$[$0 - 2], $$[$0])); break; case 12: this.$ = yy.Mul.handleNegative($$[$0]); break; case 14: case 17: this.$ = [yytext]; break; case 16: this.$ = $$[$0 - 2].concat($$[$0]); break; case 18: this.$ = yy.Log.natural(); break; case 19: this.$ = yy.Log.common(); break; case 21: this.$ = yy.Trig.create($$[$0 - 1], $$[$0]); break; case 22: this.$ = yy.Log.create($$[$0 - 1], $$[$0]); break; case 24: this.$ = new yy.Pow($$[$0 - 2], $$[$0]); break; case 26: case 34: this.$ = yytext; break; case 27: this.$ = new yy.Var($$[$0 - 2], $$[$0]); break; case 28: this.$ = new yy.Var($$[$0]); break; case 29: this.$ = new yy.Const(yytext.toLowerCase()); break; case 30: this.$ = yy.Int.create(Number(yytext)); break; case 31: this.$ = yy.Float.create(Number(yytext)); break; case 32: this.$ = $$[$0 - 1].completeParse(); break; case 33: this.$ = $$[$0 - 1].completeParse().addHint('parens'); break; case 35: case 36: this.$ = yy.Pow.sqrt($$[$0 - 1]); break; case 37: this.$ = new yy.Pow.nthroot($$[$0 - 1], $$[$0 - 4]); break; case 38: case 39: case 40: this.$ = new yy.Abs($$[$0 - 1]); break; case 41: this.$ = new yy.Func($$[$0 - 3], $$[$0 - 1]); break; case 44: this.$ = yy.Mul.handleDivide($$[$0 - 4], $$[$0 - 1]); break; } }, table: [{ 3: 1, 4: 2, 6: [1, 3], 7: 4, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 1: [3] }, { 5: [1, 34], 6: [1, 35] }, { 1: [2, 3] }, o([5, 6], [2, 4], { 8: $Vh, 10: $Vi }), o($Vj, [2, 7], { 17: 9, 20: 10, 25: 11, 15: 12, 26: 16, 24: 18, 38: 19, 27: 21, 36: 31, 11: 38, 12: $Vk, 14: $Vl, 16: $V1, 19: $V2, 21: $V3, 22: $V4, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 37: $Vb, 39: $Vc, 42: $Vd, 44: $Vf, 46: $Vg }), o($Vm, [2, 11]), { 10: $V0, 11: 8, 13: 41, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, o($Vm, [2, 13]), { 10: $V0, 11: 8, 13: 42, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 10: $V0, 11: 8, 13: 43, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, o($Vm, [2, 23]), o($Vn, [2, 15], { 18: [1, 44] }), o($Vn, [2, 17]), o($Vn, [2, 18]), o($Vn, [2, 19], { 23: [1, 45] }), o($Vm, [2, 25], { 18: [1, 46] }), o([10, 16, 18, 19, 21, 22, 28, 29, 30, 31, 32, 34, 37, 39, 42, 43, 44, 46], [2, 14]), o($Vo, [2, 42]), o($Vo, [2, 43]), { 32: [1, 47] }, o($Vo, [2, 28], { 23: [1, 48] }), o($Vo, [2, 29]), o($Vo, [2, 30]), o($Vo, [2, 31]), { 7: 49, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 7: 50, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 32: [1, 52], 34: [1, 51], 40: [1, 53] }, { 34: [1, 54] }, { 7: 55, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 7: 56, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 34: [1, 57] }, o([5, 6, 8, 10, 12, 14, 16, 18, 19, 21, 22, 23, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 41, 42, 43, 44, 45, 46], [2, 26]), { 34: [2, 34] }, { 4: 58, 7: 4, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 1: [2, 2] }, { 9: 59, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 9: 60, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, o($Vm, [2, 8]), { 10: $V0, 11: 8, 13: 61, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 10: $V0, 11: 8, 13: 62, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, o($Vm, [2, 12]), o($Vm, [2, 21]), o($Vm, [2, 22]), { 10: $V0, 11: 8, 13: 63, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 24: 64, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va }, { 10: $V0, 11: 8, 13: 65, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 7: 66, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 24: 67, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va }, { 8: $Vh, 10: $Vi, 33: [1, 68] }, { 8: $Vh, 10: $Vi, 35: [1, 69] }, { 7: 70, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 7: 71, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 7: 72, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 7: 73, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 8: $Vh, 10: $Vi, 43: [1, 74] }, { 8: $Vh, 10: $Vi, 45: [1, 75] }, { 7: 76, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 6: [1, 77] }, o($Vj, [2, 5], { 17: 9, 20: 10, 25: 11, 15: 12, 26: 16, 24: 18, 38: 19, 27: 21, 36: 31, 11: 38, 12: $Vk, 14: $Vl, 16: $V1, 19: $V2, 21: $V3, 22: $V4, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 37: $Vb, 39: $Vc, 42: $Vd, 44: $Vf, 46: $Vg }), o($Vj, [2, 6], { 17: 9, 20: 10, 25: 11, 15: 12, 26: 16, 24: 18, 38: 19, 27: 21, 36: 31, 11: 38, 12: $Vk, 14: $Vl, 16: $V1, 19: $V2, 21: $V3, 22: $V4, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 37: $Vb, 39: $Vc, 42: $Vd, 44: $Vf, 46: $Vg }), o($Vm, [2, 9]), o($Vm, [2, 10]), o($Vn, [2, 16]), o($Vn, [2, 20]), o($Vm, [2, 24]), { 8: $Vh, 10: $Vi, 33: [1, 78] }, o($Vo, [2, 27]), o($Vo, [2, 32]), o($Vo, [2, 33]), { 8: $Vh, 10: $Vi, 35: [1, 79] }, { 8: $Vh, 10: $Vi, 33: [1, 80] }, { 8: $Vh, 10: $Vi, 41: [1, 81] }, { 8: $Vh, 10: $Vi, 35: [1, 82] }, o($Vo, [2, 39]), o($Vo, [2, 40]), { 8: $Vh, 10: $Vi, 35: [1, 83] }, { 1: [2, 1] }, { 32: [1, 84] }, o($Vo, [2, 35]), o($Vo, [2, 36]), { 32: [1, 85] }, o($Vo, [2, 38]), o($Vo, [2, 41]), { 7: 86, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 7: 87, 9: 5, 10: $V0, 11: 8, 13: 6, 15: 12, 16: $V1, 17: 9, 19: $V2, 20: 10, 21: $V3, 22: $V4, 24: 18, 25: 11, 26: 16, 27: 21, 28: $V5, 29: $V6, 30: $V7, 31: $V8, 32: $V9, 34: $Va, 36: 31, 37: $Vb, 38: 19, 39: $Vc, 42: $Vd, 43: $Ve, 44: $Vf, 46: $Vg }, { 8: $Vh, 10: $Vi, 33: [1, 88] }, { 8: $Vh, 10: $Vi, 33: [1, 89] }, o($Vo, [2, 44]), o($Vo, [2, 37])], defaultActions: { 3: [2, 3], 33: [2, 34], 35: [2, 2], 77: [2, 1] }, parseError: function parseError(str, hash) { if (hash.recoverable) { this.trace(str); } else { throw new Error(str); } }, parse: function parse(input) { var self = this, stack = [0], vstack = [null], lstack = [], table = this.table, yytext = '', yylineno = 0, yyleng = 0, TERROR = 2, EOF = 1; var args = lstack.slice.call(arguments, 1); var lexer = Object.create(this.lexer); var sharedState = { yy: {} }; for (var k in this.yy) { if (Object.prototype.hasOwnProperty.call(this.yy, k)) { sharedState.yy[k] = this.yy[k]; } } lexer.setInput(input, sharedState.yy); sharedState.yy.lexer = lexer; sharedState.yy.parser = this; if (typeof lexer.yylloc == 'undefined') { lexer.yylloc = {}; } var yyloc = lexer.yylloc; lstack.push(yyloc); var ranges = lexer.options && lexer.options.ranges; if (typeof sharedState.yy.parseError === 'function') { this.parseError = sharedState.yy.parseError; } else { this.parseError = Object.getPrototypeOf(this).parseError; } //_token_stack: function lex() { var token; token = lexer.lex() || EOF; if (typeof token !== 'number') { token = self.symbols_[token] || token; } return token; } var symbol, state, action, r, yyval = {}, p, len, newState, expected; while (true) { state = stack[stack.length - 1]; if (this.defaultActions[state]) { action = this.defaultActions[state]; } else { if (symbol === null || typeof symbol == 'undefined') { symbol = lex(); } action = table[state] && table[state][symbol]; } if (typeof action === 'undefined' || !action.length || !action[0]) { var errStr = ''; expected = []; for (p in table[state]) { if (this.terminals_[p] && p > TERROR) { expected.push('\'' + this.terminals_[p] + '\''); } } if (lexer.showPosition) { errStr = 'Parse error on line ' + (yylineno + 1) + ':\n' + lexer.showPosition() + '\nExpecting ' + expected.join(', ') + ', got \'' + (this.terminals_[symbol] || symbol) + '\''; } else { errStr = 'Parse error on line ' + (yylineno + 1) + ': Unexpected ' + (symbol == EOF ? 'end of input' : '\'' + (this.terminals_[symbol] || symbol) + '\''); } this.parseError(errStr, { text: lexer.match, token: this.terminals_[symbol] || symbol, line: lexer.yylineno, loc: yyloc, expected: expected }); } if (action[0] instanceof Array && action.length > 1) { throw new Error('Parse Error: multiple actions possible at state: ' + state + ', token: ' + symbol); } switch (action[0]) { case 1: stack.push(symbol); vstack.push(lexer.yytext); lstack.push(lexer.yylloc); stack.push(action[1]); symbol = null; { yyleng = lexer.yyleng; yytext = lexer.yytext; yylineno = lexer.yylineno; yyloc = lexer.yylloc; } break; case 2: len = this.productions_[action[1]][1]; yyval.$ = vstack[vstack.length - len]; yyval._$ = { first_line: lstack[lstack.length - (len || 1)].first_line, last_line: lstack[lstack.length - 1].last_line, first_column: lstack[lstack.length - (len || 1)].first_column, last_column: lstack[lstack.length - 1].last_column }; if (ranges) { yyval._$.range = [lstack[lstack.length - (len || 1)].range[0], ls