An incremental function that has one yield:

A CompiledCodeFunction that returns an "IncrementalFunction" data structure:

Create an instance of the incremental function:

Run the incremental function to the IncrementalYield and return the partial result:

The incremental function has finished, so calling the "Next" operation results in a failure:

An incremental function that returns a sequence of multiples of its argument:

An instance of the incremental function that returns multiples of 7:

The first result from the incremental function:

The next result:

The next 100 results:

A different instance of the incremental function that returns multiples of 17:

The first 100 multiples of 17:

The function that is returning multiples of 7 is still waiting to be woken up and return results:

An incremental function can be used in a FunctionDeclaration, and in this way can call itself:

Create a running incremental function with an expression input:

This function will yield the elements of the input expression in a depth-first fashion:

The next element:

The next element:

An incremental function must use the Wolfram Compiler, but it can work with Wolfram expressions:

A running incremental function that will open a file and yield increments of data:

The first value:

The next value:

A different running instance of the same incremental function that reads data in a different way:

The next value:

An incremental function is useful for returning one result at a time, as in this Game of Life implementation:

Start the incremental function with a random initial state:

A nice animation: