# `cartesian_products`

This library provides predicates for generating and querying Cartesian products over lists. The following categories of predicates are provided:

- Generation operations - Predicates for generating Cartesian products and tuples.

- Ordering variants - Predicates that support an additional order argument (`default` or `lexicographic`) for controlling output order.

- Distinct-value generation - Predicates for generating tuples while deduplicating repeated values in factor lists.

- Indexed access - Predicates for direct access to tuples at specific positions.

- Lexicographic stepping - Predicates for navigating tuples in lexicographic order.

- Counting operations - Predicates for counting tuples without generating them.

- Random selection - Predicates for randomly selecting and sampling tuples.

Dedicated `arrangements`, `permutations`, `combinations`, `multisets`, `derangements`, `partitions`, and `subsequences` libraries are also available for focused APIs on related operations.

## API documentation

Open the ../../apis/library_index.html#cartesian_products link in a web browser.

## Loading

To load all entities in this library, load the `loader.lgt` file:

    | ?- logtalk_load(cartesian_products(loader)).

## Testing

To test this library predicates, load the `tester.lgt` file:

    | ?- logtalk_load(cartesian_products(tester)).