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latexLeftParens: false,\n    latexRightParens: false,\n    latexParens: false // conditionals don't need parentheses in LaTeX because\n    // they are 2 dimensional\n\n  }\n}, {\n  // logical or\n  'OperatorNode:or': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // logical xor\n  'OperatorNode:xor': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // logical and\n  'OperatorNode:and': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitwise or\n  'OperatorNode:bitOr': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitwise xor\n  'OperatorNode:bitXor': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitwise and\n  'OperatorNode:bitAnd': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // relational operators\n  'OperatorNode:equal': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:unequal': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:smaller': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:larger': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:smallerEq': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:largerEq': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  RelationalNode: {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // bitshift operators\n  'OperatorNode:leftShift': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:rightArithShift': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:rightLogShift': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // unit conversion\n  'OperatorNode:to': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // range\n  RangeNode: {}\n}, {\n  // addition, subtraction\n  'OperatorNode:add': {\n    associativity: 'left',\n    associativeWith: ['OperatorNode:add', 'OperatorNode:subtract']\n  },\n  'OperatorNode:subtract': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // multiply, divide, modulus\n  'OperatorNode:multiply': {\n    associativity: 'left',\n    associativeWith: ['OperatorNode:multiply', 'OperatorNode:divide', 'Operator:dotMultiply', 'Operator:dotDivide']\n  },\n  'OperatorNode:divide': {\n    associativity: 'left',\n    associativeWith: [],\n    latexLeftParens: false,\n    latexRightParens: false,\n    latexParens: false // fractions don't require parentheses because\n    // they're 2 dimensional, so parens aren't needed\n    // in LaTeX\n\n  },\n  'OperatorNode:dotMultiply': {\n    associativity: 'left',\n    associativeWith: ['OperatorNode:multiply', 'OperatorNode:divide', 'OperatorNode:dotMultiply', 'OperatorNode:doDivide']\n  },\n  'OperatorNode:dotDivide': {\n    associativity: 'left',\n    associativeWith: []\n  },\n  'OperatorNode:mod': {\n    associativity: 'left',\n    associativeWith: []\n  }\n}, {\n  // unary prefix operators\n  'OperatorNode:unaryPlus': {\n    associativity: 'right'\n  },\n  'OperatorNode:unaryMinus': {\n    associativity: 'right'\n  },\n  'OperatorNode:bitNot': {\n    associativity: 'right'\n  },\n  'OperatorNode:not': {\n    associativity: 'right'\n  }\n}, {\n  // exponentiation\n  'OperatorNode:pow': {\n    associativity: 'right',\n    associativeWith: [],\n    latexRightParens: false // the exponent doesn't need parentheses in\n    // LaTeX because it's 2 dimensional\n    // (it's on top)\n\n  },\n  'OperatorNode:dotPow': {\n    associativity: 'right',\n    associativeWith: []\n  }\n}, {\n  // factorial\n  'OperatorNode:factorial': {\n    associativity: 'left'\n  }\n}, {\n  // matrix transpose\n  'OperatorNode:transpose': {\n    associativity: 'left'\n  }\n}];\n/**\n * Get the precedence of a Node.\n * Higher number for higher precedence, starting with 0.\n * Returns null if the precedence is undefined.\n *\n * @param {Node} _node\n * @param {string} parenthesis\n * @return {number | null}\n */\n\nexport function getPrecedence(_node, parenthesis) {\n  var node = _node;\n\n  if (parenthesis !== 'keep') {\n    // ParenthesisNodes are only ignored when not in 'keep' mode\n    node = _node.getContent();\n  }\n\n  var identifier = node.getIdentifier();\n\n  for (var i = 0; i < properties.length; i++) {\n    if (identifier in properties[i]) {\n      return i;\n    }\n  }\n\n  return null;\n}\n/**\n * Get the associativity of an operator (left or right).\n * Returns a string containing 'left' or 'right' or null if\n * the associativity is not defined.\n *\n * @param {Node}\n * @param {string} parenthesis\n * @return {string|null}\n * @throws {Error}\n */\n\nexport function getAssociativity(_node, parenthesis) {\n  var node = _node;\n\n  if (parenthesis !== 'keep') {\n    // ParenthesisNodes are only ignored when not in 'keep' mode\n    node = _node.getContent();\n  }\n\n  var identifier = node.getIdentifier();\n  var index = getPrecedence(node, parenthesis);\n\n  if (index === null) {\n    // node isn't in the list\n    return null;\n  }\n\n  var property = properties[index][identifier];\n\n  if (hasOwnProperty(property, 'associativity')) {\n    if (property.associativity === 'left') {\n      return 'left';\n    }\n\n    if (property.associativity === 'right') {\n      return 'right';\n    } // associativity is invalid\n\n\n    throw Error('\\'' + identifier + '\\' has the invalid associativity \\'' + property.associativity + '\\'.');\n  } // associativity is undefined\n\n\n  return null;\n}\n/**\n * Check if an operator is associative with another operator.\n * Returns either true or false or null if not defined.\n *\n * @param {Node} nodeA\n * @param {Node} nodeB\n * @param {string} parenthesis\n * @return {boolean | null}\n */\n\nexport function isAssociativeWith(nodeA, nodeB, parenthesis) {\n  // ParenthesisNodes are only ignored when not in 'keep' 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