Heap implementation based on a pairing-heap.
This heap implementations supports an arbitrary element type via a comparison
function. If you need a heap with elements ordered by integers, then it may be more
efficient to use a Timing_wheel.Priority_queue, which is a heap implementation
specialized to integer keys, and with some other performance differences and usage
restrictions.
type 'a tof_sexp and bin_io functions aren't supplied for heaps due to the difficulties in reconstructing the correct comparison function when de-serializing.
include sig ... endval sexp_of_t : ('a ‑> Base.Sexp.t) ‑> 'a t ‑> Base.Sexp.tMutation of the heap during iteration is not supported, but there is no check to prevent it. The behavior of a heap that is mutated during iteration is undefined.
include Core_kernel.Container.S1 with type a t := a tval mem : 'a t ‑> 'a ‑> equal:('a ‑> 'a ‑> bool) ‑> boolChecks whether the provided element is there, using equal.
val length : 'a t ‑> intval is_empty : 'a t ‑> boolval iter : 'a t ‑> f:('a ‑> unit) ‑> unitval fold : 'a t ‑> init:'accum ‑> f:('accum ‑> 'a ‑> 'accum) ‑> 'accumfold t ~init ~f returns f (... f (f (f init e1) e2) e3 ...) en, where e1..en
are the elements of t
val fold_result : 'a t ‑> init:'accum ‑> f:('accum ‑> 'a ‑> ('accum, 'e) Base.Result.t) ‑> ('accum, 'e) Base.Result.tfold_result t ~init ~f is a short-circuiting version of fold that runs in the
Result monad. If f returns an Error _, that value is returned without any
additional invocations of f.
val fold_until : 'a t ‑> init:'accum ‑> f:('accum ‑> 'a ‑> ('accum, 'final) Base__.Container_intf.Continue_or_stop.t) ‑> finish:('accum ‑> 'final) ‑> 'finalfold_until t ~init ~f ~finish is a short-circuiting version of fold. If f
returns Stop _ the computation ceases and results in that value. If f returns
Continue _, the fold will proceed. If f never returns Stop _, the final result
is computed by finish.
val exists : 'a t ‑> f:('a ‑> bool) ‑> boolReturns true if and only if there exists an element for which the provided
function evaluates to true. This is a short-circuiting operation.
val for_all : 'a t ‑> f:('a ‑> bool) ‑> boolReturns true if and only if the provided function evaluates to true for all
elements. This is a short-circuiting operation.
val count : 'a t ‑> f:('a ‑> bool) ‑> intReturns the number of elements for which the provided function evaluates to true.
val sum : (module Base.Commutative_group.S with type t = 'sum) ‑> 'a t ‑> f:('a ‑> 'sum) ‑> 'sumReturns the sum of f i for all i in the container.
val find : 'a t ‑> f:('a ‑> bool) ‑> 'a optionReturns as an option the first element for which f evaluates to true.
val find_map : 'a t ‑> f:('a ‑> 'b option) ‑> 'b optionReturns the first evaluation of f that returns Some, and returns None if there
is no such element.
val to_list : 'a t ‑> 'a listval to_array : 'a t ‑> 'a arrayval min_elt : 'a t ‑> compare:('a ‑> 'a ‑> int) ‑> 'a optionReturns a minimum (resp maximum) element from the collection using the provided
compare function, or None if the collection is empty. In case of a tie, the first
element encountered while traversing the collection is returned. The implementation
uses fold so it has the same complexity as fold.
val max_elt : 'a t ‑> compare:('a ‑> 'a ‑> int) ‑> 'a optionEven though these two functions min_elt and max_elt are part of Container.S1, they
are documented separately to make sure there is no confusion. They are independent of
the comparison function used to order the heap. Instead, a traversal of the entire
structure is done using the provided cmp function to find a min or max.
If you want to access the smallest element of the heap according to the heap's
comparison function in constant time, you should use top.
val min_elt : 'a t ‑> compare:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a Core_kernel__.Import.optionval max_elt : 'a t ‑> compare:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a Core_kernel__.Import.optionval create : ?min_size:Core_kernel__.Import.int ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> Core_kernel__.Import.unit ‑> 'a tcreate ?min_size ~cmp returns a new min-heap that can store min_size elements
without reallocations, using ordering function cmp.
The top of the heap is the smallest element as determined by the provided comparison
function. In particular, if cmp x y < 0 then x will be "on top of" y in the
heap.
Memory use can be surprising in that the underlying pool never shrinks, so current memory use will at least be proportional to the largest number of elements that the heap has ever held.
val of_array : 'a Core_kernel__.Import.array ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a tmin_size (see create) will be set to the size of the input array or list.
val of_list : 'a Core_kernel__.Import.list ‑> cmp:('a ‑> 'a ‑> Core_kernel__.Import.int) ‑> 'a tval top : 'a t ‑> 'a Core_kernel__.Import.optionReturns the top (i.e., smallest) element of the heap.
val top_exn : 'a t ‑> 'aval add : 'a t ‑> 'a ‑> Core_kernel__.Import.unitval pop : 'a t ‑> 'a Core_kernel__.Import.optionpop removes and returns the top (i.e. least) element.
val pop_exn : 'a t ‑> 'aval pop_if : 'a t ‑> ('a ‑> Core_kernel__.Import.bool) ‑> 'a Core_kernel__.Import.optionpop_if t cond returns Some top_element of t if it satisfies condition
cond, removing it, or None in any other case.
module Elt : sig ... endadd_removable t v adds v to t, returning a token that can be used to delete
v from t in lg(n) amortized time.
Note that while add doesn't allocate unless the underlying pool needs to be resized,
add_removable always allocates. The Unsafe module has a non-allocating
alternative.
val remove : 'a t ‑> 'a Elt.t ‑> Core_kernel__.Import.unitIf t and token are mismatched then behavior is undefined. Trying to
remove an already removed token (by an earlier call to remove or pop for
instance) is a no-op, but keeping token around after it has been removed may lead
to memory leaks since it has a reference to the heap.
val find_elt : 'a t ‑> f:('a ‑> Core_kernel__.Import.bool) ‑> 'a Elt.t Core_kernel__.Import.optionfind_elt t ~f. If f is true for some element in t, return an Elt.t for
that element. This operation is O(n).
module Unsafe : sig ... end