simple-squiggle/node_modules/mathjs/lib/esm/expression/operators.js

309 lines
7.2 KiB
JavaScript

// list of identifiers of nodes in order of their precedence
// also contains information about left/right associativity
// and which other operator the operator is associative with
// Example:
// addition is associative with addition and subtraction, because:
// (a+b)+c=a+(b+c)
// (a+b)-c=a+(b-c)
//
// postfix operators are left associative, prefix operators
// are right associative
//
// It's also possible to set the following properties:
// latexParens: if set to false, this node doesn't need to be enclosed
// in parentheses when using LaTeX
// latexLeftParens: if set to false, this !OperatorNode's!
// left argument doesn't need to be enclosed
// in parentheses
// latexRightParens: the same for the right argument
import { hasOwnProperty } from '../utils/object.js';
export var properties = [{
// assignment
AssignmentNode: {},
FunctionAssignmentNode: {}
}, {
// conditional expression
ConditionalNode: {
latexLeftParens: false,
latexRightParens: false,
latexParens: false // conditionals don't need parentheses in LaTeX because
// they are 2 dimensional
}
}, {
// logical or
'OperatorNode:or': {
associativity: 'left',
associativeWith: []
}
}, {
// logical xor
'OperatorNode:xor': {
associativity: 'left',
associativeWith: []
}
}, {
// logical and
'OperatorNode:and': {
associativity: 'left',
associativeWith: []
}
}, {
// bitwise or
'OperatorNode:bitOr': {
associativity: 'left',
associativeWith: []
}
}, {
// bitwise xor
'OperatorNode:bitXor': {
associativity: 'left',
associativeWith: []
}
}, {
// bitwise and
'OperatorNode:bitAnd': {
associativity: 'left',
associativeWith: []
}
}, {
// relational operators
'OperatorNode:equal': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:unequal': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:smaller': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:larger': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:smallerEq': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:largerEq': {
associativity: 'left',
associativeWith: []
},
RelationalNode: {
associativity: 'left',
associativeWith: []
}
}, {
// bitshift operators
'OperatorNode:leftShift': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:rightArithShift': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:rightLogShift': {
associativity: 'left',
associativeWith: []
}
}, {
// unit conversion
'OperatorNode:to': {
associativity: 'left',
associativeWith: []
}
}, {
// range
RangeNode: {}
}, {
// addition, subtraction
'OperatorNode:add': {
associativity: 'left',
associativeWith: ['OperatorNode:add', 'OperatorNode:subtract']
},
'OperatorNode:subtract': {
associativity: 'left',
associativeWith: []
}
}, {
// multiply, divide, modulus
'OperatorNode:multiply': {
associativity: 'left',
associativeWith: ['OperatorNode:multiply', 'OperatorNode:divide', 'Operator:dotMultiply', 'Operator:dotDivide']
},
'OperatorNode:divide': {
associativity: 'left',
associativeWith: [],
latexLeftParens: false,
latexRightParens: false,
latexParens: false // fractions don't require parentheses because
// they're 2 dimensional, so parens aren't needed
// in LaTeX
},
'OperatorNode:dotMultiply': {
associativity: 'left',
associativeWith: ['OperatorNode:multiply', 'OperatorNode:divide', 'OperatorNode:dotMultiply', 'OperatorNode:doDivide']
},
'OperatorNode:dotDivide': {
associativity: 'left',
associativeWith: []
},
'OperatorNode:mod': {
associativity: 'left',
associativeWith: []
}
}, {
// unary prefix operators
'OperatorNode:unaryPlus': {
associativity: 'right'
},
'OperatorNode:unaryMinus': {
associativity: 'right'
},
'OperatorNode:bitNot': {
associativity: 'right'
},
'OperatorNode:not': {
associativity: 'right'
}
}, {
// exponentiation
'OperatorNode:pow': {
associativity: 'right',
associativeWith: [],
latexRightParens: false // the exponent doesn't need parentheses in
// LaTeX because it's 2 dimensional
// (it's on top)
},
'OperatorNode:dotPow': {
associativity: 'right',
associativeWith: []
}
}, {
// factorial
'OperatorNode:factorial': {
associativity: 'left'
}
}, {
// matrix transpose
'OperatorNode:transpose': {
associativity: 'left'
}
}];
/**
* Get the precedence of a Node.
* Higher number for higher precedence, starting with 0.
* Returns null if the precedence is undefined.
*
* @param {Node} _node
* @param {string} parenthesis
* @return {number | null}
*/
export function getPrecedence(_node, parenthesis) {
var node = _node;
if (parenthesis !== 'keep') {
// ParenthesisNodes are only ignored when not in 'keep' mode
node = _node.getContent();
}
var identifier = node.getIdentifier();
for (var i = 0; i < properties.length; i++) {
if (identifier in properties[i]) {
return i;
}
}
return null;
}
/**
* Get the associativity of an operator (left or right).
* Returns a string containing 'left' or 'right' or null if
* the associativity is not defined.
*
* @param {Node} _node
* @param {string} parenthesis
* @return {string|null}
* @throws {Error}
*/
export function getAssociativity(_node, parenthesis) {
var node = _node;
if (parenthesis !== 'keep') {
// ParenthesisNodes are only ignored when not in 'keep' mode
node = _node.getContent();
}
var identifier = node.getIdentifier();
var index = getPrecedence(node, parenthesis);
if (index === null) {
// node isn't in the list
return null;
}
var property = properties[index][identifier];
if (hasOwnProperty(property, 'associativity')) {
if (property.associativity === 'left') {
return 'left';
}
if (property.associativity === 'right') {
return 'right';
} // associativity is invalid
throw Error('\'' + identifier + '\' has the invalid associativity \'' + property.associativity + '\'.');
} // associativity is undefined
return null;
}
/**
* Check if an operator is associative with another operator.
* Returns either true or false or null if not defined.
*
* @param {Node} nodeA
* @param {Node} nodeB
* @param {string} parenthesis
* @return {boolean | null}
*/
export function isAssociativeWith(nodeA, nodeB, parenthesis) {
// ParenthesisNodes are only ignored when not in 'keep' mode
var a = parenthesis !== 'keep' ? nodeA.getContent() : nodeA;
var b = parenthesis !== 'keep' ? nodeA.getContent() : nodeB;
var identifierA = a.getIdentifier();
var identifierB = b.getIdentifier();
var index = getPrecedence(a, parenthesis);
if (index === null) {
// node isn't in the list
return null;
}
var property = properties[index][identifierA];
if (hasOwnProperty(property, 'associativeWith') && property.associativeWith instanceof Array) {
for (var i = 0; i < property.associativeWith.length; i++) {
if (property.associativeWith[i] === identifierB) {
return true;
}
}
return false;
} // associativeWith is not defined
return null;
}