/*! JavaScript Expression Evaluator v1.3.0 https://github.com/oat-sa/expr-eval/LICENCE */
(function (global, factory) {
  typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() :
      typeof define === 'function' && define.amd ? define(factory) :
          (global.exprEval = factory());
}(this, (function () { 'use strict';

  var INUMBER = 'INUMBER';
  var IOP1 = 'IOP1';
  var IOP2 = 'IOP2';
  var IOP3 = 'IOP3';
  var IVAR = 'IVAR';
  var IFUNCOP = 'IFUNCOP';
  var IFUNCALL = 'IFUNCALL';
  var IEXPR = 'IEXPR';
  var IMEMBER = 'IMEMBER';

  function Instruction(type, value) {
    this.type = type;
    this.value = (value !== undefined && value !== null) ? value : 0;
  }

  Instruction.prototype.toString = function () {
    switch (this.type) {
      case INUMBER:
      case IOP1:
      case IOP2:
      case IOP3:
      case IVAR:
      case IFUNCOP:
        return this.value;
      case IFUNCALL:
        return 'CALL ' + this.value;
      case IMEMBER:
        return '.' + this.value;
      default:
        return 'Invalid Instruction';
    }
  };

  function unaryInstruction(value) {
    return new Instruction(IOP1, value);
  }

  function binaryInstruction(value) {
    return new Instruction(IOP2, value);
  }

  function ternaryInstruction(value) {
    return new Instruction(IOP3, value);
  }

  function simplify(tokens, unaryOps, binaryOps, ternaryOps, values) {
    var nstack = [];
    var newexpression = [];
    var n1, n2, n3;
    var f;
    for (var i = 0; i < tokens.length; i++) {
      var item = tokens[i];
      var type = item.type;
      if (type === INUMBER) {
        nstack.push(item);
      } else if (type === IVAR && values.hasOwnProperty(item.value)) {
        item = new Instruction(INUMBER, values[item.value]);
        nstack.push(item);
      } else if (type === IOP2 && nstack.length > 1) {
        n2 = nstack.pop();
        n1 = nstack.pop();
        f = binaryOps[item.value];
        item = new Instruction(INUMBER, f(n1.value, n2.value));
        nstack.push(item);
      } else if (type === IOP3 && nstack.length > 2) {
        n3 = nstack.pop();
        n2 = nstack.pop();
        n1 = nstack.pop();
        if (item.value === '?') {
          nstack.push(n1.value ? n2.value : n3.value);
        } else {
          f = ternaryOps[item.value];
          item = new Instruction(INUMBER, f(n1.value, n2.value, n3.value));
          nstack.push(item);
        }
      } else if (type === IOP1 && nstack.length > 0) {
        n1 = nstack.pop();
        f = unaryOps[item.value];
        item = new Instruction(INUMBER, f(n1.value));
        nstack.push(item);
      } else if (type === IEXPR) {
        while (nstack.length > 0) {
          newexpression.push(nstack.shift());
        }
        newexpression.push(new Instruction(IEXPR, simplify(item.value, unaryOps, binaryOps, ternaryOps, values)));
      } else if (type === IMEMBER && nstack.length > 0) {
        n1 = nstack.pop();
        nstack.push(new Instruction(INUMBER, n1.value[item.value]));
      } else {
        while (nstack.length > 0) {
          newexpression.push(nstack.shift());
        }
        newexpression.push(item);
      }
    }
    while (nstack.length > 0) {
      newexpression.push(nstack.shift());
    }
    return newexpression;
  }

  function substitute(tokens, variable, expr) {
    var newexpression = [];
    for (var i = 0; i < tokens.length; i++) {
      var item = tokens[i];
      var type = item.type;
      if (type === IVAR && item.value === variable) {
        for (var j = 0; j < expr.tokens.length; j++) {
          var expritem = expr.tokens[j];
          var replitem;
          if (expritem.type === IOP1) {
            replitem = unaryInstruction(expritem.value);
          } else if (expritem.type === IOP2) {
            replitem = binaryInstruction(expritem.value);
          } else if (expritem.type === IOP3) {
            replitem = ternaryInstruction(expritem.value);
          } else {
            replitem = new Instruction(expritem.type, expritem.value);
          }
          newexpression.push(replitem);
        }
      } else if (type === IEXPR) {
        newexpression.push(new Instruction(IEXPR, substitute(item.value, variable, expr)));
      } else {
        newexpression.push(item);
      }
    }
    return newexpression;
  }

  function evaluate(tokens, expr, values) {
    var nstack = [];
    var n1, n2, n3;
    var f;
    for (var i = 0; i < tokens.length; i++) {
      var item = tokens[i];
      var type = item.type;
      if (type === INUMBER) {
        nstack.push(item.value);
      } else if (type === IOP2) {
        n2 = nstack.pop();
        n1 = nstack.pop();
        if (item.value === 'and') {
          nstack.push(n1 ? !!evaluate(n2, expr, values) : false);
        } else if (item.value === 'or') {
          nstack.push(n1 ? true : !!evaluate(n2, expr, values));
        } else {
          f = expr.binaryOps[item.value];
          nstack.push(f(n1, n2));
        }
      } else if (type === IOP3) {
        n3 = nstack.pop();
        n2 = nstack.pop();
        n1 = nstack.pop();
        if (item.value === '?') {
          nstack.push(evaluate(n1 ? n2 : n3, expr, values));
        } else {
          f = expr.ternaryOps[item.value];
          nstack.push(f(n1, n2, n3));
        }
      } else if (type === IVAR) {
        if (item.value in expr.functions) {
          nstack.push(expr.functions[item.value]);
        } else {
          var v = values[item.value];
          if (v !== undefined) {
            nstack.push(v);
          } else {
            throw new Error('undefined variable: ' + item.value);
          }
        }
      } else if (type === IOP1) {
        n1 = nstack.pop();
        f = expr.unaryOps[item.value];
        nstack.push(f(n1));
      } else if (type === IFUNCOP) {
        n2 = nstack.pop();
        n1 = nstack.pop();
        f = expr.functions[item.value];
        if (f.apply && f.call) {
          nstack.push(f.apply(undefined, [n1, n2]));
        } else {
          throw new Error(f + ' is not a function');
        }
      } else if (type === IFUNCALL) {
        var argCount = item.value;
        var args = [];
        while (argCount-- > 0) {
          args.unshift(nstack.pop());
        }
        f = nstack.pop();
        if (f.apply && f.call) {
          nstack.push(f.apply(undefined, args));
        } else {
          throw new Error(f + ' is not a function');
        }
      } else if (type === IEXPR) {
        nstack.push(item.value);
      } else if (type === IMEMBER) {
        n1 = nstack.pop();
        nstack.push(n1[item.value]);
      } else {
        throw new Error('invalid Expression');
      }
    }
    if (nstack.length > 1) {
      throw new Error('invalid Expression (parity)');
    }
    return nstack[0];
  }

  function expressionToString(tokens, toJS) {
    var nstack = [];
    var n1, n2, n3;
    var f;
    for (var i = 0; i < tokens.length; i++) {
      var item = tokens[i];
      var type = item.type;
      if (type === INUMBER) {
        if (typeof item.value === 'number' && item.value < 0) {
          nstack.push('(' + item.value + ')');
        } else {
          nstack.push(escapeValue(item.value));
        }
      } else if (type === IOP2) {
        n2 = nstack.pop();
        n1 = nstack.pop();
        f = item.value;
        if (toJS) {
          if (f === '^') {
            nstack.push('Math.pow(' + n1 + ', ' + n2 + ')');
          } else if (f === 'and') {
            nstack.push('(!!' + n1 + ' && !!' + n2 + ')');
          } else if (f === 'or') {
            nstack.push('(!!' + n1 + ' || !!' + n2 + ')');
          } else if (f === '||') {
            nstack.push('(String(' + n1 + ') + String(' + n2 + '))');
          } else if (f === '==') {
            nstack.push('(' + n1 + ' === ' + n2 + ')');
          } else if (f === '!=') {
            nstack.push('(' + n1 + ' !== ' + n2 + ')');
          } else {
            nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');
          }
        } else {
          nstack.push('(' + n1 + ' ' + f + ' ' + n2 + ')');
        }
      } else if (type === IOP3) {
        n3 = nstack.pop();
        n2 = nstack.pop();
        n1 = nstack.pop();
        f = item.value;
        if (f === '?') {
          nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');
        } else {
          throw new Error('invalid Expression');
        }
      } else if (type === IVAR) {
        nstack.push(item.value);
      } else if (type === IOP1) {
        n1 = nstack.pop();
        f = item.value;
        if (f === '-' || f === '+') {
          nstack.push('(' + f + n1 + ')');
        } else if (toJS) {
          if (f === 'not') {
            nstack.push('(' + '!' + n1 + ')');
          } else if (f === '!') {
            nstack.push('fac(' + n1 + ')');
          } else {
            nstack.push(f + '(' + n1 + ')');
          }
        } else if (f === '!') {
          nstack.push('(' + n1 + '!)');
        } else {
          nstack.push('(' + f + ' ' + n1 + ')');
        }
      } else if (type === IFUNCALL) {
        var argCount = item.value;
        var args = [];
        while (argCount-- > 0) {
          args.unshift(nstack.pop());
        }
        f = nstack.pop();
        nstack.push(f + '(' + args.join(', ') + ')');
      } else if (type === IMEMBER) {
        n1 = nstack.pop();
        nstack.push(n1 + '.' + item.value);
      } else if (type === IEXPR) {
        nstack.push('(' + expressionToString(item.value, toJS) + ')');
      } else {
        throw new Error('invalid Expression');
      }
    }
    if (nstack.length > 1) {
      throw new Error('invalid Expression (parity)');
    }
    return String(nstack[0]);
  }

  function escapeValue(v) {
    if (typeof v === 'string') {
      return JSON.stringify(v).replace(/\u2028/g, '\\u2028').replace(/\u2029/g, '\\u2029');
    }
    return v;
  }

  function contains(array, obj) {
    for (var i = 0; i < array.length; i++) {
      if (array[i] === obj) {
        return true;
      }
    }
    return false;
  }

  function getSymbols(tokens, symbols, options) {
    options = options || {};
    var withMembers = !!options.withMembers;
    var prevVar = null;

    for (var i = 0; i < tokens.length; i++) {
      var item = tokens[i];
      if (item.type === IVAR && !contains(symbols, item.value)) {
        if (!withMembers) {
          symbols.push(item.value);
        } else if (prevVar !== null) {
          if (!contains(symbols, prevVar)) {
            symbols.push(prevVar);
          }
          prevVar = item.value;
        } else {
          prevVar = item.value;
        }
      } else if (item.type === IMEMBER && withMembers && prevVar !== null) {
        prevVar += '.' + item.value;
      } else if (item.type === IEXPR) {
        getSymbols(item.value, symbols, options);
      } else if (prevVar !== null) {
        if (!contains(symbols, prevVar)) {
          symbols.push(prevVar);
        }
        prevVar = null;
      }
    }

    if (prevVar !== null && !contains(symbols, prevVar)) {
      symbols.push(prevVar);
    }
  }

  function Expression(tokens, parser) {
    this.tokens = tokens;
    this.parser = parser;
    this.unaryOps = parser.unaryOps;
    this.binaryOps = parser.binaryOps;
    this.ternaryOps = parser.ternaryOps;
    this.functions = parser.functions;
  }

  Expression.prototype.simplify = function (values) {
    values = values || {};
    return new Expression(simplify(this.tokens, this.unaryOps, this.binaryOps, this.ternaryOps, values), this.parser);
  };

  Expression.prototype.substitute = function (variable, expr) {
    if (!(expr instanceof Expression)) {
      expr = this.parser.parse(String(expr));
    }

    return new Expression(substitute(this.tokens, variable, expr), this.parser);
  };

  Expression.prototype.evaluate = function (values) {
    values = values || {};
    return evaluate(this.tokens, this, values);
  };

  Expression.prototype.toString = function () {
    return expressionToString(this.tokens, false);
  };

  Expression.prototype.symbols = function (options) {
    options = options || {};
    var vars = [];
    getSymbols(this.tokens, vars, options);
    return vars;
  };

  Expression.prototype.variables = function (options) {
    options = options || {};
    var vars = [];
    getSymbols(this.tokens, vars, options);
    var functions = this.functions;
    return vars.filter(function (name) {
      return !(name in functions);
    });
  };

  Expression.prototype.toJSFunction = function (param, variables) {
    var expr = this;
    var f = new Function(param, 'with(this.functions) with (this.ternaryOps) with (this.binaryOps) with (this.unaryOps) { return ' + expressionToString(this.simplify(variables).tokens, true) + '; }'); // eslint-disable-line no-new-func
    return function () {
      return f.apply(expr, arguments);
    };
  };

  var TEOF = 'TEOF';
  var TOP = 'TOP';
  var TFUNCOP = 'TFUNCOP';
  var TNUMBER = 'TNUMBER';
  var TSTRING = 'TSTRING';
  var TPAREN = 'TPAREN';
  var TCOMMA = 'TCOMMA';
  var TNAME = 'TNAME';

  function Token(type, value, index) {
    this.type = type;
    this.value = value;
    this.index = index;
  }

  Token.prototype.toString = function () {
    return this.type + ': ' + this.value;
  };

  function TokenStream(parser, expression) {
    this.pos = 0;
    this.current = null;
    this.unaryOps = parser.unaryOps;
    this.binaryOps = parser.binaryOps;
    this.ternaryOps = parser.ternaryOps;
    this.functions = parser.functions;
    this.consts = parser.consts;
    this.expression = expression;
    this.savedPosition = 0;
    this.savedCurrent = null;
    this.options = parser.options;
  }

  TokenStream.prototype.newToken = function (type, value, pos) {
    return new Token(type, value, pos != null ? pos : this.pos);
  };

  TokenStream.prototype.save = function () {
    this.savedPosition = this.pos;
    this.savedCurrent = this.current;
  };

  TokenStream.prototype.restore = function () {
    this.pos = this.savedPosition;
    this.current = this.savedCurrent;
  };

  TokenStream.prototype.next = function () {
    if (this.pos >= this.expression.length) {
      return this.newToken(TEOF, 'EOF');
    }

    if (this.isWhitespace() || this.isComment()) {
      return this.next();
    } else if (this.isRadixInteger() ||
        this.isNumber() ||
        this.isOperator() ||
        this.isString() ||
        this.isParen() ||
        this.isComma() ||
        this.isNamedOp() ||
        this.isFuncOp() ||
        this.isConst() ||
        this.isName()) {
      return this.current;
    } else {
      this.parseError('Unknown character "' + this.expression.charAt(this.pos) + '"');
    }
  };

  TokenStream.prototype.isString = function () {
    var r = false;
    var startPos = this.pos;
    var quote = this.expression.charAt(startPos);

    if (quote === '\'' || quote === '"') {
      var index = this.expression.indexOf(quote, startPos + 1);
      while (index >= 0 && this.pos < this.expression.length) {
        this.pos = index + 1;
        if (this.expression.charAt(index - 1) !== '\\') {
          var rawString = this.expression.substring(startPos + 1, index);
          this.current = this.newToken(TSTRING, this.unescape(rawString), startPos);
          r = true;
          break;
        }
        index = this.expression.indexOf(quote, index + 1);
      }
    }
    return r;
  };

  TokenStream.prototype.isParen = function () {
    var c = this.expression.charAt(this.pos);
    if (c === '(' || c === ')') {
      this.current = this.newToken(TPAREN, c);
      this.pos++;
      return true;
    }
    return false;
  };

  TokenStream.prototype.isComma = function () {
    var c = this.expression.charAt(this.pos);
    if (c === ',') {
      this.current = this.newToken(TCOMMA, ',');
      this.pos++;
      return true;
    }
    return false;
  };

  TokenStream.prototype.isConst = function () {
    var startPos = this.pos;
    var i = startPos;
    for (; i < this.expression.length; i++) {
      var c = this.expression.charAt(i);
      if (c.toUpperCase() === c.toLowerCase()) {
        if (i === this.pos || (c !== '_' && c !== '.' && (c < '0' || c > '9'))) {
          break;
        }
      }
    }
    if (i > startPos) {
      var str = this.expression.substring(startPos, i);
      if (str in this.consts) {
        this.current = this.newToken(TNUMBER, this.consts[str]);
        this.pos += str.length;
        return true;
      }
    }
    return false;
  };

  TokenStream.prototype.isNamedOp = function () {
    var startPos = this.pos;
    var i = startPos;
    for (; i < this.expression.length; i++) {
      var c = this.expression.charAt(i);
      if (c.toUpperCase() === c.toLowerCase()) {
        if (i === this.pos || (c !== '_' && (c < '0' || c > '9'))) {
          break;
        }
      }
    }
    if (i > startPos) {
      var str = this.expression.substring(startPos, i);
      if (this.isOperatorEnabled(str) && (str in this.binaryOps || str in this.unaryOps || str in this.ternaryOps)) {
        this.current = this.newToken(TOP, str);
        this.pos += str.length;
        return true;
      }
    }
    return false;
  };

  TokenStream.prototype.isFuncOp = function () {
    var c = this.expression.charAt(this.pos);
    var startPos = this.pos + 1;
    var i = startPos;
    var str;
    if (c === '@') {
      for (; i < this.expression.length; i++) {
        c = this.expression.charAt(i);
        if (c.toUpperCase() === c.toLowerCase()) {
          if (i === startPos || (c !== '_' && (c < '0' || c > '9'))) {
            break;
          }
        }
      }
      if (i > startPos) {
        str = this.expression.substring(startPos, i);
        if (str in this.functions) {
          this.current = this.newToken(TFUNCOP, str);
          this.pos = startPos + str.length;
          return true;
        }
      }
    }
    return false;
  };

  TokenStream.prototype.isName = function () {
    var startPos = this.pos;
    var i = startPos;
    var hasLetter = false;
    for (; i < this.expression.length; i++) {
      var c = this.expression.charAt(i);
      if (c.toUpperCase() === c.toLowerCase()) {
        if (i === this.pos && (c === '$' || c === '_')) {
          if (c === '_') {
            hasLetter = true;
          }
          continue;
        } else if (i === this.pos || !hasLetter || (c !== '_' && (c < '0' || c > '9'))) {
          break;
        }
      } else {
        hasLetter = true;
      }
    }
    if (hasLetter) {
      var str = this.expression.substring(startPos, i);
      this.current = this.newToken(TNAME, str);
      this.pos += str.length;
      return true;
    }
    return false;
  };

  TokenStream.prototype.isWhitespace = function () {
    var r = false;
    var c = this.expression.charAt(this.pos);
    while (c === ' ' || c === '\t' || c === '\n' || c === '\r') {
      r = true;
      this.pos++;
      if (this.pos >= this.expression.length) {
        break;
      }
      c = this.expression.charAt(this.pos);
    }
    return r;
  };

  var codePointPattern = /^[0-9a-f]{4}$/i;

  TokenStream.prototype.unescape = function (v) {
    var index = v.indexOf('\\');
    if (index < 0) {
      return v;
    }

    var buffer = v.substring(0, index);
    while (index >= 0) {
      var c = v.charAt(++index);
      switch (c) {
        case '\'':
          buffer += '\'';
          break;
        case '"':
          buffer += '"';
          break;
        case '\\':
          buffer += '\\';
          break;
        case '/':
          buffer += '/';
          break;
        case 'b':
          buffer += '\b';
          break;
        case 'f':
          buffer += '\f';
          break;
        case 'n':
          buffer += '\n';
          break;
        case 'r':
          buffer += '\r';
          break;
        case 't':
          buffer += '\t';
          break;
        case 'u':
          // interpret the following 4 characters as the hex of the unicode code point
          var codePoint = v.substring(index + 1, index + 5);
          if (!codePointPattern.test(codePoint)) {
            this.parseError('Illegal escape sequence: \\u' + codePoint);
          }
          buffer += String.fromCharCode(parseInt(codePoint, 16));
          index += 4;
          break;
        default:
          throw this.parseError('Illegal escape sequence: "\\' + c + '"');
      }
      ++index;
      var backslash = v.indexOf('\\', index);
      buffer += v.substring(index, backslash < 0 ? v.length : backslash);
      index = backslash;
    }

    return buffer;
  };

  TokenStream.prototype.isComment = function () {
    var c = this.expression.charAt(this.pos);
    if (c === '/' && this.expression.charAt(this.pos + 1) === '*') {
      this.pos = this.expression.indexOf('*/', this.pos) + 2;
      if (this.pos === 1) {
        this.pos = this.expression.length;
      }
      return true;
    }
    return false;
  };

  TokenStream.prototype.isRadixInteger = function () {
    var pos = this.pos;

    if (pos >= this.expression.length - 2 || this.expression.charAt(pos) !== '0') {
      return false;
    }
    ++pos;

    var radix;
    var validDigit;
    if (this.expression.charAt(pos) === 'x') {
      radix = 16;
      validDigit = /^[0-9a-f]$/i;
      ++pos;
    } else if (this.expression.charAt(pos) === 'b') {
      radix = 2;
      validDigit = /^[01]$/i;
      ++pos;
    } else {
      return false;
    }

    var valid = false;
    var startPos = pos;

    while (pos < this.expression.length) {
      var c = this.expression.charAt(pos);
      if (validDigit.test(c)) {
        pos++;
        valid = true;
      } else {
        break;
      }
    }

    if (valid) {
      this.current = this.newToken(TNUMBER, parseInt(this.expression.substring(startPos, pos), radix));
      this.pos = pos;
    }
    return valid;
  };

  TokenStream.prototype.isNumber = function () {
    var valid = false;
    var pos = this.pos;
    var startPos = pos;
    var resetPos = pos;
    var foundDot = false;
    var foundDigits = false;
    var c;

    while (pos < this.expression.length) {
      c = this.expression.charAt(pos);
      if ((c >= '0' && c <= '9') || (!foundDot && c === '.')) {
        if (c === '.') {
          foundDot = true;
        } else {
          foundDigits = true;
        }
        pos++;
        valid = foundDigits;
      } else {
        break;
      }
    }

    if (valid) {
      resetPos = pos;
    }

    if (c === 'e' || c === 'E') {
      pos++;
      var acceptSign = true;
      var validExponent = false;
      while (pos < this.expression.length) {
        c = this.expression.charAt(pos);
        if (acceptSign && (c === '+' || c === '-')) {
          acceptSign = false;
        } else if (c >= '0' && c <= '9') {
          validExponent = true;
          acceptSign = false;
        } else {
          break;
        }
        pos++;
      }

      if (!validExponent) {
        pos = resetPos;
      }
    }

    if (valid) {
      this.current = this.newToken(TNUMBER, parseFloat(this.expression.substring(startPos, pos)));
      this.pos = pos;
    } else {
      this.pos = resetPos;
    }
    return valid;
  };

  TokenStream.prototype.isOperator = function () {
    var startPos = this.pos;
    var c = this.expression.charAt(this.pos);

    if (c === '+' || c === '-' || c === '*' || c === '/' || c === '%' || c === '^' || c === '?' || c === ':' || c === '.') {
      this.current = this.newToken(TOP, c);
    } else if (c === '∙' || c === '•') {
      this.current = this.newToken(TOP, '*');
    } else if (c === '>') {
      if (this.expression.charAt(this.pos + 1) === '=') {
        this.current = this.newToken(TOP, '>=');
        this.pos++;
      } else {
        this.current = this.newToken(TOP, '>');
      }
    } else if (c === '<') {
      if (this.expression.charAt(this.pos + 1) === '=') {
        this.current = this.newToken(TOP, '<=');
        this.pos++;
      } else {
        this.current = this.newToken(TOP, '<');
      }
    } else if (c === '|') {
      if (this.expression.charAt(this.pos + 1) === '|') {
        this.current = this.newToken(TOP, '||');
        this.pos++;
      } else {
        return false;
      }
    } else if (c === '=') {
      if (this.expression.charAt(this.pos + 1) === '=') {
        this.current = this.newToken(TOP, '==');
        this.pos++;
      } else {
        return false;
      }
    } else if (c === '!') {
      if (this.expression.charAt(this.pos + 1) === '=') {
        this.current = this.newToken(TOP, '!=');
        this.pos++;
      } else {
        this.current = this.newToken(TOP, c);
      }
    } else {
      return false;
    }
    this.pos++;

    if (this.isOperatorEnabled(this.current.value)) {
      return true;
    } else {
      this.pos = startPos;
      return false;
    }
  };

  var optionNameMap = {
    '+': 'add',
    '-': 'subtract',
    '*': 'multiply',
    '/': 'divide',
    '%': 'remainder',
    '^': 'power',
    '!': 'factorial',
    '<': 'comparison',
    '>': 'comparison',
    '<=': 'comparison',
    '>=': 'comparison',
    '==': 'comparison',
    '!=': 'comparison',
    '||': 'concatenate',
    'and': 'logical',
    'or': 'logical',
    'not': 'logical',
    '?': 'conditional',
    ':': 'conditional'
  };

  function getOptionName(op) {
    return optionNameMap.hasOwnProperty(op) ? optionNameMap[op] : op;
  }

  TokenStream.prototype.isOperatorEnabled = function (op) {
    var optionName = getOptionName(op);
    var operators = this.options.operators || {};

    // in is a special case for now because it's disabled by default
    if (optionName === 'in') {
      return !!operators['in'];
    }

    return !(optionName in operators) || !!operators[optionName];
  };

  TokenStream.prototype.getCoordinates = function () {
    var line = 0;
    var column;
    var newline = -1;
    do {
      line++;
      column = this.pos - newline;
      newline = this.expression.indexOf('\n', newline + 1);
    } while (newline >= 0 && newline < this.pos);

    return {
      line: line,
      column: column
    };
  };

  TokenStream.prototype.parseError = function (msg) {
    var coords = this.getCoordinates();
    throw new Error('parse error [' + coords.line + ':' + coords.column + ']: ' + msg);
  };

  function ParserState(parser, tokenStream, options) {
    this.parser = parser;
    this.tokens = tokenStream;
    this.current = null;
    this.nextToken = null;
    this.next();
    this.savedCurrent = null;
    this.savedNextToken = null;
    this.allowMemberAccess = options.allowMemberAccess !== false;
  }

  ParserState.prototype.next = function () {
    this.current = this.nextToken;
    return (this.nextToken = this.tokens.next());
  };

  ParserState.prototype.tokenMatches = function (token, value) {
    if (typeof value === 'undefined') {
      return true;
    } else if (Array.isArray(value)) {
      return contains(value, token.value);
    } else if (typeof value === 'function') {
      return value(token);
    } else {
      return token.value === value;
    }
  };

  ParserState.prototype.save = function () {
    this.savedCurrent = this.current;
    this.savedNextToken = this.nextToken;
    this.tokens.save();
  };

  ParserState.prototype.restore = function () {
    this.tokens.restore();
    this.current = this.savedCurrent;
    this.nextToken = this.savedNextToken;
  };

  ParserState.prototype.accept = function (type, value) {
    if (this.nextToken.type === type && this.tokenMatches(this.nextToken, value)) {
      this.next();
      return true;
    }
    return false;
  };

  ParserState.prototype.expect = function (type, value) {
    if (!this.accept(type, value)) {
      var coords = this.tokens.getCoordinates();
      throw new Error('parse error [' + coords.line + ':' + coords.column + ']: Expected ' + (value || type));
    }
  };

  ParserState.prototype.parseAtom = function (instr) {
    if (this.accept(TNAME)) {
      instr.push(new Instruction(IVAR, this.current.value));
    } else if (this.accept(TNUMBER)) {
      instr.push(new Instruction(INUMBER, this.current.value));
    } else if (this.accept(TSTRING)) {
      instr.push(new Instruction(INUMBER, this.current.value));
    } else if (this.accept(TPAREN, '(')) {
      this.parseExpression(instr);
      this.expect(TPAREN, ')');
    } else {
      throw new Error('unexpected ' + this.nextToken);
    }
  };

  ParserState.prototype.parseExpression = function (instr) {
    this.parseConditionalExpression(instr);
  };

  ParserState.prototype.parseConditionalExpression = function (instr) {
    this.parseOrExpression(instr);
    while (this.accept(TOP, '?')) {
      var trueBranch = [];
      var falseBranch = [];
      this.parseConditionalExpression(trueBranch);
      this.expect(TOP, ':');
      this.parseConditionalExpression(falseBranch);
      instr.push(new Instruction(IEXPR, trueBranch));
      instr.push(new Instruction(IEXPR, falseBranch));
      instr.push(ternaryInstruction('?'));
    }
  };

  ParserState.prototype.parseOrExpression = function (instr) {
    this.parseAndExpression(instr);
    while (this.accept(TOP, 'or')) {
      var falseBranch = [];
      this.parseAndExpression(falseBranch);
      instr.push(new Instruction(IEXPR, falseBranch));
      instr.push(binaryInstruction('or'));
    }
  };

  ParserState.prototype.parseAndExpression = function (instr) {
    this.parseComparison(instr);
    while (this.accept(TOP, 'and')) {
      var trueBranch = [];
      this.parseComparison(trueBranch);
      instr.push(new Instruction(IEXPR, trueBranch));
      instr.push(binaryInstruction('and'));
    }
  };

  var COMPARISON_OPERATORS = ['==', '!=', '<', '<=', '>=', '>', 'in'];

  ParserState.prototype.parseComparison = function (instr) {
    this.parseAddSub(instr);
    while (this.accept(TOP, COMPARISON_OPERATORS)) {
      var op = this.current;
      this.parseAddSub(instr);
      instr.push(binaryInstruction(op.value));
    }
  };

  var ADD_SUB_OPERATORS = ['+', '-', '||'];

  ParserState.prototype.parseAddSub = function (instr) {
    this.parseTerm(instr);
    while (this.accept(TOP, ADD_SUB_OPERATORS)) {
      var op = this.current;
      this.parseTerm(instr);
      instr.push(binaryInstruction(op.value));
    }
  };

  var TERM_OPERATORS = ['*', '/', '%'];

  ParserState.prototype.parseTerm = function (instr) {
    this.parseFactor(instr);
    while (this.accept(TOP, TERM_OPERATORS)) {
      var op = this.current;
      this.parseFactor(instr);
      instr.push(binaryInstruction(op.value));
    }
  };

  ParserState.prototype.parseFactor = function (instr) {
    var unaryOps = this.tokens.unaryOps;
    function isPrefixOperator(token) {
      return token.value in unaryOps;
    }

    this.save();
    if (this.accept(TOP, isPrefixOperator)) {
      if ((this.current.value !== '-' && this.current.value !== '+' && this.nextToken.type === TPAREN && this.nextToken.value === '(')) {
        this.restore();
        this.parseExponential(instr);
      } else {
        var op = this.current;
        this.parseFactor(instr);
        instr.push(unaryInstruction(op.value));
      }
    } else {
      this.parseExponential(instr);
    }
  };

  ParserState.prototype.parseExponential = function (instr) {
    this.parsePostfixExpression(instr);
    while (this.accept(TOP, '^')) {
      this.parseFactor(instr);
      instr.push(binaryInstruction('^'));
    }
  };

  ParserState.prototype.parsePostfixExpression = function (instr) {
    this.parseFunctionOperator(instr);
    while (this.accept(TOP, '!')) {
      instr.push(unaryInstruction('!'));
    }
  };

  ParserState.prototype.parseFunctionOperator = function (instr) {
    var functions = this.tokens.functions;
    var op;
    function isCustomOperator(token) {
      return token.value in functions;
    }
    this.parseFunctionCall(instr);
    while (this.accept(TFUNCOP, isCustomOperator)) {
      op = this.current;
      this.parseFactor(instr);
      instr.push(new Instruction(IFUNCOP, op.value));
    }
  };

  ParserState.prototype.parseFunctionCall = function (instr) {
    var unaryOps = this.tokens.unaryOps;
    function isPrefixOperator(token) {
      return token.value in unaryOps;
    }

    if (this.accept(TOP, isPrefixOperator)) {
      var op = this.current;
      this.parseAtom(instr);
      instr.push(unaryInstruction(op.value));
    } else {
      this.parseMemberExpression(instr);
      while (this.accept(TPAREN, '(')) {
        if (this.accept(TPAREN, ')')) {
          instr.push(new Instruction(IFUNCALL, 0));
        } else {
          var argCount = this.parseArgumentList(instr);
          instr.push(new Instruction(IFUNCALL, argCount));
        }
      }
    }
  };

  ParserState.prototype.parseArgumentList = function (instr) {
    var argCount = 0;

    while (!this.accept(TPAREN, ')')) {
      this.parseExpression(instr);
      ++argCount;
      while (this.accept(TCOMMA)) {
        this.parseExpression(instr);
        ++argCount;
      }
    }

    return argCount;
  };

  ParserState.prototype.parseMemberExpression = function (instr) {
    this.parseAtom(instr);
    while (this.accept(TOP, '.')) {
      if (!this.allowMemberAccess) {
        throw new Error('unexpected ".", member access is not permitted');
      }

      this.expect(TNAME);
      instr.push(new Instruction(IMEMBER, this.current.value));
    }
  };

  function add(a, b) {
    return Number(a) + Number(b);
  }

  function sub(a, b) {
    return a - b;
  }

  function mul(a, b) {
    return a * b;
  }

  function div(a, b) {
    return a / b;
  }

  function mod(a, b) {
    return a % b;
  }

  function concat(a, b) {
    return '' + a + b;
  }

  function equal(a, b) {
    return a === b;
  }

  function notEqual(a, b) {
    return a !== b;
  }

  function greaterThan(a, b) {
    return a > b;
  }

  function lessThan(a, b) {
    return a < b;
  }

  function greaterThanEqual(a, b) {
    return a >= b;
  }

  function lessThanEqual(a, b) {
    return a <= b;
  }

  function andOperator(a, b) {
    return Boolean(a && b);
  }

  function orOperator(a, b) {
    return Boolean(a || b);
  }

  function inOperator(a, b) {
    return contains(b, a);
  }

  function sinh(a) {
    return ((Math.exp(a) - Math.exp(-a)) / 2);
  }

  function cosh(a) {
    return ((Math.exp(a) + Math.exp(-a)) / 2);
  }

  function tanh(a) {
    if (a === Infinity) return 1;
    if (a === -Infinity) return -1;
    return (Math.exp(a) - Math.exp(-a)) / (Math.exp(a) + Math.exp(-a));
  }

  function asinh(a) {
    if (a === -Infinity) return a;
    return Math.log(a + Math.sqrt((a * a) + 1));
  }

  function acosh(a) {
    return Math.log(a + Math.sqrt((a * a) - 1));
  }

  function atanh(a) {
    return (Math.log((1 + a) / (1 - a)) / 2);
  }

  function log10(a) {
    return Math.log(a) * Math.LOG10E;
  }

  function neg(a) {
    return -a;
  }

  function not(a) {
    return !a;
  }

  function trunc(a) {
    return a < 0 ? Math.ceil(a) : Math.floor(a);
  }

  function random(a) {
    return Math.random() * (a || 1);
  }

  function factorial(a) { // a!
    return gamma(a + 1);
  }

  function isInteger(value) {
    return isFinite(value) && (value === Math.round(value));
  }

  var GAMMA_G = 4.7421875;
  var GAMMA_P = [
    0.99999999999999709182,
    57.156235665862923517, -59.597960355475491248,
    14.136097974741747174, -0.49191381609762019978,
    0.33994649984811888699e-4,
    0.46523628927048575665e-4, -0.98374475304879564677e-4,
    0.15808870322491248884e-3, -0.21026444172410488319e-3,
    0.21743961811521264320e-3, -0.16431810653676389022e-3,
    0.84418223983852743293e-4, -0.26190838401581408670e-4,
    0.36899182659531622704e-5
  ];

  // Gamma function from math.js
  function gamma(n) {
    var t, x;

    if (isInteger(n)) {
      if (n <= 0) {
        return isFinite(n) ? Infinity : NaN;
      }

      if (n > 171) {
        return Infinity; // Will overflow
      }

      var value = n - 2;
      var res = n - 1;
      while (value > 1) {
        res *= value;
        value--;
      }

      if (res === 0) {
        res = 1; // 0! is per definition 1
      }

      return res;
    }

    if (n < 0.5) {
      return Math.PI / (Math.sin(Math.PI * n) * gamma(1 - n));
    }

    if (n >= 171.35) {
      return Infinity; // will overflow
    }

    if (n > 85.0) { // Extended Stirling Approx
      var twoN = n * n;
      var threeN = twoN * n;
      var fourN = threeN * n;
      var fiveN = fourN * n;
      return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) *
          (1 + (1 / (12 * n)) + (1 / (288 * twoN)) - (139 / (51840 * threeN)) -
              (571 / (2488320 * fourN)) + (163879 / (209018880 * fiveN)) +
              (5246819 / (75246796800 * fiveN * n)));
    }

    --n;
    x = GAMMA_P[0];
    for (var i = 1; i < GAMMA_P.length; ++i) {
      x += GAMMA_P[i] / (n + i);
    }

    t = n + GAMMA_G + 0.5;
    return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x;
  }

  function stringLength(s) {
    return String(s).length;
  }

  function hypot() {
    var sum = 0;
    var larg = 0;
    for (var i = 0; i < arguments.length; i++) {
      var arg = Math.abs(arguments[i]);
      var div;
      if (larg < arg) {
        div = larg / arg;
        sum = (sum * div * div) + 1;
        larg = arg;
      } else if (arg > 0) {
        div = arg / larg;
        sum += div * div;
      } else {
        sum += arg;
      }
    }
    return larg === Infinity ? Infinity : larg * Math.sqrt(sum);
  }

  function condition(cond, yep, nope) {
    return cond ? yep : nope;
  }

  /**
   * Decimal adjustment of a number.
   * From @escopecz.
   *
   * @param {Number} value The number.
   * @param {Integer} exp  The exponent (the 10 logarithm of the adjustment base).
   * @return {Number} The adjusted value.
   */
  function roundTo(value, exp) {
    // If the exp is undefined or zero...
    if (typeof exp === 'undefined' || +exp === 0) {
      return Math.round(value);
    }
    value = +value;
    exp = -(+exp);
    // If the value is not a number or the exp is not an integer...
    if (isNaN(value) || !(typeof exp === 'number' && exp % 1 === 0)) {
      return NaN;
    }
    // Shift
    value = value.toString().split('e');
    value = Math.round(+(value[0] + 'e' + (value[1] ? (+value[1] - exp) : -exp)));
    // Shift back
    value = value.toString().split('e');
    return +(value[0] + 'e' + (value[1] ? (+value[1] + exp) : exp));
  }

  function Parser(options) {
    this.options = options || {};
    this.unaryOps = {
      sin: Math.sin,
      cos: Math.cos,
      tan: Math.tan,
      asin: Math.asin,
      acos: Math.acos,
      atan: Math.atan,
      sinh: Math.sinh || sinh,
      cosh: Math.cosh || cosh,
      tanh: Math.tanh || tanh,
      asinh: Math.asinh || asinh,
      acosh: Math.acosh || acosh,
      atanh: Math.atanh || atanh,
      sqrt: Math.sqrt,
      log: Math.log,
      ln: Math.log,
      lg: Math.log10 || log10,
      log10: Math.log10 || log10,
      abs: Math.abs,
      ceil: Math.ceil,
      floor: Math.floor,
      round: Math.round,
      trunc: Math.trunc || trunc,
      '-': neg,
      '+': Number,
      exp: Math.exp,
      not: not,
      length: stringLength,
      '!': factorial
    };

    this.binaryOps = {
      '+': add,
      '-': sub,
      '*': mul,
      '/': div,
      '%': mod,
      '^': Math.pow,
      '||': concat,
      '==': equal,
      '!=': notEqual,
      '>': greaterThan,
      '<': lessThan,
      '>=': greaterThanEqual,
      '<=': lessThanEqual,
      and: andOperator,
      or: orOperator,
      'in': inOperator
    };

    this.ternaryOps = {
      '?': condition
    };

    this.functions = {
      random: random,
      fac: factorial,
      min: Math.min,
      max: Math.max,
      hypot: Math.hypot || hypot,
      pyt: Math.hypot || hypot, // backward compat
      pow: Math.pow,
      atan2: Math.atan2,
      'if': condition,
      gamma: gamma,
      roundTo: roundTo
    };

    this.consts = {
      E: Math.E,
      PI: Math.PI,
      'true': true,
      'false': false
    };
  }

  Parser.prototype.parse = function (expr) {
    var instr = [];
    var parserState = new ParserState(
        this,
        new TokenStream(this, expr),
        { allowMemberAccess: this.options.allowMemberAccess }
    );

    parserState.parseExpression(instr);
    parserState.expect(TEOF, 'EOF');

    return new Expression(instr, this);
  };

  Parser.prototype.evaluate = function (expr, variables) {
    return this.parse(expr).evaluate(variables);
  };

  var sharedParser = new Parser();

  Parser.parse = function (expr) {
    return sharedParser.parse(expr);
  };

  Parser.evaluate = function (expr, variables) {
    return sharedParser.parse(expr).evaluate(variables);
  };

  /*!
   Based on ndef.parser, by Raphael Graf(r@undefined.ch)
   http://www.undefined.ch/mparser/index.html

   Ported to JavaScript and modified by Matthew Crumley (email@matthewcrumley.com, http://silentmatt.com/)

   You are free to use and modify this code in anyway you find useful. Please leave this comment in the code
   to acknowledge its original source. If you feel like it, I enjoy hearing about projects that use my code,
   but don't feel like you have to let me know or ask permission.
  */

  var index = {
    Parser: Parser,
    Expression: Expression
  };

  return index;

})));