Function _resolve

src/function/algebra/resolve.js:49–91

* resolve(expr, scope) replaces variable nodes with their scoped values * * Syntax: * * math.resolve(expr, scope) * * Examples: * * math.resolve('x + y', {x:1, y:2}) // Node '1 + 2' * math.resolve(math.parse('x+y'), {x:1, y:2}) // Node '1 + 2' *

(node, scope, within = new Set())

   *     resolution is impossible and a ReferenceError is thrown.
   */
  function _resolve (node, scope, within = new Set()) { // note `within`:
    // `within` is not documented, since it is for internal cycle
    // detection only
    if (!scope) {
      return node
    }
    if (isSymbolNode(node)) {
      if (within.has(node.name)) {
        const variables = Array.from(within).join(', ')
        throw new ReferenceError(
          `recursive loop of variable definitions among {${variables}}`
        )
      }
      const value = scope.get(node.name)
      if (isNode(value)) {
        const nextWithin = new Set(within)
        nextWithin.add(node.name)
        return _resolve(value, scope, nextWithin)
      } else if (typeof value === 'number') {
        return parse(String(value))
      } else if (value !== undefined) {
        return new ConstantNode(value)
      } else {
        return node
      }
    } else if (isOperatorNode(node)) {
      const args = node.args.map(function (arg) {
        return _resolve(arg, scope, within)
      })
      return new OperatorNode(node.op, node.fn, args, node.implicit)
    } else if (isParenthesisNode(node)) {
      return new ParenthesisNode(_resolve(node.content, scope, within))
    } else if (isFunctionNode(node)) {
      const args = node.args.map(function (arg) {
        return _resolve(arg, scope, within)
      })
      return new FunctionNode(node.name, args)
    }

    // Otherwise just recursively resolve any children (might also work
    // for some of the above special cases)
    return node.map(child => _resolve(child, scope, within))
  }

  return typed('resolve', {
    Node: _resolve,