package bignum
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doc/bignum.bigint/Bigint/Set/Provide_hash/argument-1-Elt/index.html
Parameter Provide_hash.Elt
val hash_fold_t : Base.Hash.state -> Elt.t -> Base.Hash.statehash_fold_t state x mixes the content of x into the state.
By default, all our hash_fold_t functions (derived or not) should satisfy the following properties.
1. hash_fold_t state x should mix all the information present in x in the state. That is, by default, hash_fold_t will traverse the full term x (this is a significant change for Hashtbl.hash which by default stops traversing the term after after considering a small number of "significant values"). hash_fold_t must not discard the state.
2. hash_fold_t must be compatible with the associated compare function: that is, for all x y and s, compare x y = 0 must imply hash_fold_t s x = hash_fold_t s y.
3. To avoid avoid systematic collisions, hash_fold_t should expand to different sequences of built-in mixing functions for different values of x. No such sequence is allowed to be a prefix of another.
A common mistake is to implement hash_fold_t of a collection by just folding all the elements. This makes the folding sequence of a be a prefix of a @ b, thereby violating the requirement. This creates large families of collisions: all of the following collections would hash the same:
[[]; [1;2;3]] [[1]; [2;3]] [[1; 2]; [3]] [[1; 2; 3]; []] [[1]; [2]; []; [3];] ...
A good way to avoid this is to mix in the size of the collection to the beginning (fold ~init:(hash_fold_int state length) ~f:hash_fold_elem). The default in our libraries is to mix the length of the structure before folding. To prevent the aforementioned collisions, one should respect this ordering.