BPlusTree
Type Aliases
type alias Search = Vector[Int32]
SourceDefinitions
Updates t with k => f(v) if k => v is in t.
Otherwise, t is unchanged.
Thread-safe.
def adjustWithKey(f: k -> (v -> v \ ef), k: k, t: BPlusTree[k, v, r]): Unit \ ef + r with Order[k]
SourceUpdates t with k => f(k, v) if k => v is in t.
Otherwise, t is unchanged.
Thread-safe.
def arity(t: BPlusTree[k, v, r]): Int32
SourceReturns the arity of t.
Returns true if and only if t is a structurally correct tree.
Only used for internal testing.
def computeIfAbsent(f: Unit -> v \ ef, k: k, t: BPlusTree[k, v, r]): v \ ef + r with Order[k]
SourceReturns v if k => v is in t. Otherwise, computes v = f(), inserts k => v
and returns v. That is, f is only evaluated if k is not in t.
This operation is atomic.
Thread-safe.
@Parallel Returns the number of mappings in t that satisfy the predicate function f.
This method unsafely removes the effect r when spawning threads.
Not thread-safe: Traverses the live leaf chain of t in parallel.
def empty(rc: Region[r]): BPlusTree[k, v, r] \ r
SourceReturns a fresh empty BPlusTree tree of standard arity.
def emptyWithArity(rc: Region[r], m: Int32): BPlusTree[k, v, r] \ r
SourceReturns a fresh empty BPlusTree with arity m. A node may have at most m
children and m - 1 keys.
The arity must be at least 3.
def emptyWithArityAndSearch(rc: Region[r], m: Int32, search: Search): BPlusTree[k, v, r] \ r
SourceReturns a fresh empty BPlusTree with arity m. A node may have at most m
children and m - 1 keys.
The arity must be at least 3.
search decides the comparison order for the stored vectors.
def emptyWithSearch(rc: Region[r], search: Search): BPlusTree[k, v, r] \ r
SourceReturns a fresh empty BPlusTree of standard arity.
search decided the comparison order for the stored vectors.
def exists(f: k -> (v -> Bool \ ef), t: BPlusTree[k, v, r]): Bool \ ef + r
SourceReturns true if and only if there exists k => v in t such that f(k, v) == true.
Not thread-safe: Traverses the live leaf chain of t.
def find(f: k -> (v -> Bool \ ef), t: BPlusTree[k, v, r]): Option[(k, v)] \ ef + r
SourceAlias for findLeft.
Not thread-safe: Traverses the live leaf chain of t.
def findLeft(f: k -> (v -> Bool \ ef), t: BPlusTree[k, v, r]): Option[(k, v)] \ ef + r
SourceOptionally returns the first mapping in t satisfying the function f.
Not thread-safe: Traverses the live leaf chain of t.
Applies f to a start value i and all values in t going from left to right.
Not thread-safe: Traverses the live leaf chain of t.
def foldLeftWithKey(f: b -> (k -> (v -> b \ ef)), i: b, t: BPlusTree[k, v, r]): b \ ef + r with Order[k]
SourceApplies f to a start value i and all mappings k => v in t going from left to right.
Not thread-safe: Traverses the live leaf chain of t.
def foldWithKey(f: b -> (k -> (v -> b \ ef)), i: b, t: BPlusTree[k, v, r]): b \ r + ef with Order[k]
SourceAlias for foldLeftWithKey
def forAll(f: k -> (v -> Bool \ ef), t: BPlusTree[k, v, r]): Bool \ ef + r
SourceReturns true if and only if for all k => v in t, f(k, v) == true.
Not thread-safe: Traverses the live leaf chain of t.
def forEach(f: k -> (v -> Unit \ ef), t: BPlusTree[k, v, r]): Unit \ ef + r
SourceApplies f to all mappings k => v in t.
Not thread-safe: Traverses the live leaf chain of t.
Returns Some(v) if k => v is in t. Otherwise, returns None.
Thread-safe.
Returns Some((k, v)) if k => v is in t. Otherwise, returns None.
Thread-safe.
Returns v if k => v is in t.
Otherwise updates t with a new mapping k => d and returns d.
Atomic and thread-safe
Returns v if k => v is in t. Otherwise, returns d.
Thread-safe.
def isEmpty(t: BPlusTree[k, v, r]): Bool \ r
SourceReturns true if and only if t is the empty tree.
Thread-safe.
def isProperSubmapOf(t1: BPlusTree[k, v, r1], t2: BPlusTree[k, v, r2]): Bool \ r1 + r2 with Order[k], Eq[v]
SourceReturns true if t1 is a proper submap of t2, i.e. t1 is a submap of t2 and
there exists a key in t2 that is not in t1.
Not thread-safe: Traverses the live leaf chains of t1 and t2.
def isSubmapOf(t1: BPlusTree[k, v, r1], t2: BPlusTree[k, v, r2]): Bool \ r1 + r2 with Order[k], Eq[v]
SourceReturns true if t1 is a submap of t2, i.e. for every key in t1, t2
contains the same key with the same value.
Not thread-safe: Traverses the live leaf chains of t1 and t2.
def iterator(rc1: Region[r1], t: BPlusTree[k, v, r]): Iterator[(k, v), r + r1, r1] \ r + r1
SourceReturns an iterator over all key-value pairs in t,
Not thread-safe: The iterator reads from the live leaf chain of t.
def iteratorValues(rc1: Region[r1], t: BPlusTree[k, v, r2]): Iterator[v, r1 + r2, r1] \ r1 + r2
SourceReturns an iterator over values in t.
Not thread-safe: The iterator reads from the live leaf chain of t.
def iteratorWithKeys(rc1: Region[r1], t: BPlusTree[k, v, r2]): Iterator[k, r1 + r2, r1] \ r1 + r2
SourceReturns an iterator over keys in t.
Not thread-safe: The iterator reads from the live leaf chain of t.
Returns a string containing all keys in t, in key order,
with each key formatted by its ToString instance and separated by sep.
Not thread-safe.
Builds the result by traversing the live leaf chain of t.
Returns a string containing all values in t, in key order,
with each value formatted by its ToString instance and separated by sep.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
def joinWith(f: k -> (v -> String \ ef), sep: String, t: BPlusTree[k, v, r]): String \ r + ef
SourceApplies f to each key-value pair in t, in key order, to obtain a
string and returns all results joined together using sep.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
Returns the set of keys in t.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
def map(rc1: Region[r1], f: v1 -> v2 \ ef, t: BPlusTree[k, v1, r]): BPlusTree[k, v2, r1] \ ef + r + r1 with Order[k]
SourceReturns a BPlusTree with mappings k => f(v) for every k => v in t.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
def mapWithKey(rc1: Region[r1], f: k -> (v1 -> v2 \ ef), t: BPlusTree[k, v1, r]): BPlusTree[k, v2, r1] \ ef + r + r1 with Order[k]
SourceReturns a BPlusTree with mappings k => f(k, v) for every k => v in t.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
Optionally returns k => v where k is the largest key in t according to the
Order instance on k.
Returns None if t is empty.
Thread-safe.
Returns true if and only if t contains the key k.
Thread-safe.
Returns true if and only if t contains the mapping k => v.
Thread-safe.
Merge src into dst, modifying dst in a left-biased manner.
That is, key collisions are resolved by taking the mapping from src.
Not thread-safe: Traverses the live leaf chain of src.
def mergeWith(f: v -> (v -> v \ ef), src: BPlusTree[k, v, r1], dst: BPlusTree[k, v, r2]): Unit \ r1 + r2 + ef with Order[k]
SourceMerges src into dst, modifying dst. If k => v1 is in src and k => v2 is
in dst, updates dst with k => f(v1, v2).
Not thread-safe: Traverses the live leaf chain of src.
def mergeWithKey(f: k -> (v -> (v -> v \ ef)), src: BPlusTree[k, v, r1], dst: BPlusTree[k, v, r2]): Unit \ r1 + r2 + ef with Order[k]
SourceMerges src into dst, modifying dst in-place. If k => v1 is in src and
k => v2 is in dst, then dst is updated with k => f(k, v1, v2).
Not thread-safe: Traverses the live leaf chain of src.
Optionally returns k => v where k is the smallest key in t according to the
Order instance on k.
Returns None if t is empty.
Thread-safe.
def nonEmpty(t: BPlusTree[k, v, r]): Bool \ r
SourceReturns true if and only if t contains at least one mapping.
Thread-safe.
@Parallel def parForEach(f: k -> (v -> Unit \ r), t: BPlusTree[k, v, r]): Unit \ r
SourceApplies f to all mappings k => v in t in parallel.
f must not modify t.
This method unsafe removes the r effect when spawning threads.
Not thread-safe: Traverses the live leaf chain of t in parallel.
@Parallel def parForEachWhen(f1: k -> (v -> Unit \ r), f2: k -> (v -> Unit \ r), parLimit: Int32, t: BPlusTree[k, v, r]): Unit \ r
SourceApplies f1 to all mappings k => v in t sequentially if t contains strictly less than
parLimit elements. If t contains parLimit or more elements f2 is applied in parallel
to all mappings.
f1 and f2 must not modify t.
This method unsafe removes the r effect when spawning threads in case 2.
Not thread-safe: Traverses the live leaf chain of t, potentially in parallel.
Updates the tree t with the mapping k => v, replacing any existing mapping.
Thread-safe.
def putIf(decider: k -> (v -> (k -> (v -> Bool))), k: k, v: v, t: BPlusTree[k, v, r]): Unit \ r with Order[k]
SourceUpdates the tree t with the mapping k => v, replacing any existing mapping,
k2 => v2, if decider(k, v, k2, v2) == true.
Thread-safe and atomic.
def putWith(f: v -> (v -> v \ ef), k: k, v: v, t: BPlusTree[k, v, r]): Unit \ ef + r with Order[k]
SourceUpdates t with k => f(v, v1) if k => v1 is in t.
Otherwise, updates t with k => v.
Thread-safe.
def putWithKey(f: k -> (v -> (v -> v \ ef)), k: k, v: v, t: BPlusTree[k, v, r]): Unit \ r + ef with Order[k]
SourceUpdates t with the mapping k => f(k, v, v1) if k => v1 is in t.
Otherwise, updates t with the mapping k => v.
Thread-safe.
Returns the list of mappings k => v in t where min <= k <= max according to
the Order instance on k.
Not thread-safe: Builds the result by traversing the live leaf chain of t in range order.
def rangeQueryWith(f: k -> (v -> Unit \ ef), min: k, max: k, t: BPlusTree[k, v, r]): Unit \ r + ef with Order[k]
SourceApplies f in ascending order to all mappings k => v in t where
min <= k <= max.
Not thread-safe: Traverses the live leaf chain of t in range order.
def rc(t: BPlusTree[k, v, r]): Region[r]
SourceReturns the region of t.
def sameElements(t1: BPlusTree[k, v, r1], t2: BPlusTree[k, v, r2]): Bool \ r1 + r2 with Order[k], Eq[v]
SourceReturns true if t1 and t2 contain the same keys and values, regardless of
each individual tree's internal structure.
Not thread-safe: Compares the live leaf chains of t1 and t2.
def search(t: BPlusTree[k, v, r]): Search
SourceReturns the search of t.
def size(t: BPlusTree[k, v, r]): Int32 \ r
SourceReturns the size of t. This operation is O(1).
Not atomic.
Thread-safe.
def toList(t: BPlusTree[k, v, r]): List[(k, v)] \ r
SourceReturns a list of the key-value pairs in t. Elements are ordered from smallest
(left) to largest (right).
Not thread-safe: Builds the result by traversing the live leaf chain of t.
Returns t as an immutable map.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
Returns t as a set of key-value pairs.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
Returns a string representation of t.
Not thread-safe: Traverses the live tree without synchronization.
def toVector(t: BPlusTree[k, v, r]): Vector[(k, v)] \ r
SourceReturns t as a vector of key-value pairs.
Not thread-safe: Builds the result by traversing the live leaf chain of t.
Applies the function f to every value in t.
Not thread-safe: Mutates the live leaf chain of t in place.