Abstract: The disclosure is generally directed to a method and computing device for maintaining dependencies among multiple reference elements (e.g., formulas of a table or spreadsheet). In various embodiments, prior to a reevaluation operation carried out on the reference elements, a computing device receives an input of a reference element via a user interface (e.g., receives a user's input of a formula), assigns the reference element to a group based on the dependency between the reference element and one or more other reference elements, and assigns the reference element to a location within a dependency graph to which the other reference elements are assigned. In response to an event that requires at least one of the reference elements to be reevaluated, the computing device reevaluates each group of reference elements in sequence a group at a time.

Abstract: The disclosure is generally directed to a method and computing device for maintaining dependencies among multiple reference elements (e.g., formulas of a table or spreadsheet). In various embodiments, prior to a reevaluation operation carried out on the reference elements, a computing device receives an input of a reference element via a user interface (e.g., receives a user's input of a formula), assigns the reference element to a group based on the dependency between the reference element and one or more other reference elements, and assigns the reference element to a location within a dependency graph to which the other reference elements are assigned. In response to an event that requires at least one of the reference elements to be reevaluated, the computing device reevaluates each group of reference elements in sequence a group at a time.

Abstract: A method for sharing changes to an electronic document is described. A share request is received, at a first computing device, that indicates a change to a shared element of the electronic document that is directly changed by a user. A first update set of elements that should be updated based on the change is determined by the first computing device, the first update set including the shared element and one or more elements not directly changed by the user. For each element of the first update set, the first computing device selects between a second update set and a third update set based on a respective dependency relationship with the shared element. Elements of the first update set are associated with the corresponding selected update set. A synchronous update for the second update set and an asynchronous update for the third update set are performed.

Abstract: The disclosure is generally directed to a method and computing device for maintaining dependencies among multiple reference elements (e.g., formulas of a table or spreadsheet). In various embodiments, prior to a reevaluation operation carried out on the reference elements, a computing device receives an input of a reference element via a user interface (e.g., receives a user's input of a formula), assigns the reference element to a group based on the dependency between the reference element and one or more other reference elements, and assigns the reference element to a location within a dependency graph to which the other reference elements are assigned. In response to an event that requires at least one of the reference elements to be reevaluated, the computing device reevaluates each group of reference elements in sequence a group at a time.

Abstract: The disclosure is generally directed to a method and computing device for maintaining dependencies among multiple reference elements (e.g., formulas of a table or spreadsheet). In various embodiments, prior to a reevaluation operation carried out on the reference elements, a computing device receives an input of a reference element via a user interface (e.g., receives a user's input of a formula), assigns the reference element to a group based on the dependency between the reference element and one or more other reference elements, and assigns the reference element to a location within a dependency graph to which the other reference elements are assigned. In response to an event that requires at least one of the reference elements to be reevaluated, the computing device reevaluates each group of reference elements in sequence a group at a time.