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284 lines
7.6 KiB
Go
284 lines
7.6 KiB
Go
package cuckoo
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import (
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"errors"
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"fmt"
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"iter"
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"math/bits"
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"strings"
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)
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// ErrBadHash occurs when the hashes given to a [Table] cause too many key
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// collisions. Discard the old table, rebuild it from your source data, and try:
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//
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// 1. Different hash seeds. Equal seeds produce equal hash functions, which
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// always cycle.
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// 2. A different [Hash] algorithm.
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var ErrBadHash = errors.New("bad hash")
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// A Table which uses cuckoo hashing to resolve collision. Create
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// one with [New]. Or if you want more granularity, use [NewBy] or
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// [NewCustom].
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type Table[K, V any] struct {
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tableA, tableB *subtable[K, V]
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growthFactor uint64
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minLoadFactor float64
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}
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// TotalCapacity returns the number of slots allocated for the [Table]. To get the
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// number of slots filled, look at [Table.Size].
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func (t *Table[K, V]) TotalCapacity() uint64 {
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return t.tableA.capacity + t.tableB.capacity
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}
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// Size returns how many slots are filled in the [Table].
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func (t *Table[K, V]) Size() int {
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return int(t.tableA.size + t.tableB.size)
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}
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func log2(n uint64) (m int) {
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return max(0, bits.Len64(n)-1)
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}
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func (t *Table[K, V]) maxEvictions() int {
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return 3 * log2(t.TotalCapacity())
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}
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func (t *Table[K, V]) load() float64 {
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// When there are no slots in the table, we still treat the load as 100%.
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// Every slot in the table is full.
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if t.TotalCapacity() == 0 {
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return 1.0
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}
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return float64(t.Size()) / float64(t.TotalCapacity())
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}
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// insert attempts to put/update an entry in the table, without modifying the
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// size of the table. Returns a displaced entry and 'homeless = true' if an
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// entry could not be placed after exhausting evictions.
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func (t *Table[K, V]) insert(entry entry[K, V]) (displaced entry[K, V], homeless bool) {
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if t.tableA.update(entry.key, entry.value) {
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return
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}
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if t.tableB.update(entry.key, entry.value) {
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return
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}
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for range t.maxEvictions() {
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if entry, homeless = t.tableA.insert(entry); !homeless {
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return
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}
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if entry, homeless = t.tableB.insert(entry); !homeless {
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return
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}
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}
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return entry, true
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}
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// resized creates an empty copy of the table, with a new capacity for each
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// bucket.
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func (t *Table[K, V]) resized(capacity uint64) *Table[K, V] {
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return &Table[K, V]{
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growthFactor: t.growthFactor,
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minLoadFactor: t.minLoadFactor,
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tableA: t.tableA.resized(capacity),
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tableB: t.tableB.resized(capacity),
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}
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}
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// resize creates a new [Table.resized] with 'capacity', inserts all items into
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// the array, and replaces the current table. It is a helper function for
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// [Table.grow] and [Table.shrink]; use them instead.
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func (t *Table[K, V]) resize(capacity uint64) bool {
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updated := t.resized(capacity)
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for k, v := range t.Entries() {
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if _, failed := updated.insert(entry[K, V]{k, v}); failed {
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return false
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}
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}
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*t = *updated
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return true
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}
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// grow increases the table's capacity by the growth factor. If the
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// capacity is 0, it increases it to 1.
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func (t *Table[K, V]) grow() bool {
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var newCapacity uint64
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if t.TotalCapacity() == 0 {
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newCapacity = 1
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} else {
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newCapacity = t.tableA.capacity * t.growthFactor
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}
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return t.resize(newCapacity)
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}
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// shrink reduces the table's capacity by the growth factor. It may
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// reduce it down to 0.
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func (t *Table[K, V]) shrink() bool {
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return t.resize(t.tableA.capacity / t.growthFactor)
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}
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// Get fetches the value for a key in the [Table]. Matches the comma-ok pattern
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// of a builtin map; see [Table.Find] for plain indexing.
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func (t *Table[K, V]) Get(key K) (value V, ok bool) {
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if item, ok := t.tableA.get(key); ok {
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return item, true
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}
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if item, ok := t.tableB.get(key); ok {
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return item, true
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}
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return
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}
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// Find fetches the value of a key. Matches direct indexing of a builtin map;
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// see [Table.Get] for a comma-ok pattern.
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func (t *Table[K, V]) Find(key K) (value V) {
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value, _ = t.Get(key)
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return
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}
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// Has returns true if a key has a value in the table.
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func (t *Table[K, V]) Has(key K) (exists bool) {
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_, exists = t.Get(key)
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return
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}
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// Put sets the value for a key. If it cannot be set, an error is returned.
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func (t *Table[K, V]) Put(key K, value V) (err error) {
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var (
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entry = entry[K, V]{key, value}
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homeless bool
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)
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for range defaultGrowthLimit {
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if entry, homeless = t.insert(entry); !homeless {
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return
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}
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// Both this and the growth limit are necessary: this catches bad hashes
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// early when the table is sparse, while the latter catches cases where
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// growing never helps.
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if t.load() < t.minLoadFactor {
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return fmt.Errorf("hash functions produced a cycle at load %d/%d: %w", t.Size(), t.TotalCapacity(), ErrBadHash)
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}
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// It is theoretically possible to have a table with a larger capacity
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// that is valid. But this chance is astronomically small, so we ignore
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// it in this implementation.
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if grew := t.grow(); !grew {
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return fmt.Errorf("could not redistribute entries into larger table: %w", ErrBadHash)
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}
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}
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return fmt.Errorf("could not place entry after %d resizes: %w", defaultGrowthLimit, ErrBadHash)
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}
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// Drop removes a value for a key in the table. Returns whether the key had
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// existed.
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func (t *Table[K, V]) Drop(key K) bool {
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occupied := t.tableA.drop(key) || t.tableB.drop(key)
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if t.load() < t.minLoadFactor {
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// The error is not handled here, because table-shrinking is an internal
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// optimization.
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t.shrink()
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}
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return occupied
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}
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// Entries returns an unordered sequence of all key-value pairs in the table.
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func (t *Table[K, V]) Entries() iter.Seq2[K, V] {
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return func(yield func(K, V) bool) {
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for _, slot := range t.tableA.slots {
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if slot.occupied {
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if !yield(slot.key, slot.value) {
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return
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}
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}
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}
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for _, slot := range t.tableB.slots {
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if slot.occupied {
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if !yield(slot.key, slot.value) {
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return
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}
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}
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}
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}
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}
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// String returns the entries of the table as a string in the format:
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// "table[k1:v1 k2:v2 ...]".
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func (t *Table[K, V]) String() string {
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var sb strings.Builder
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sb.WriteString("table[")
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first := true
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for k, v := range t.Entries() {
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if !first {
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sb.WriteString(" ")
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}
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fmt.Fprintf(&sb, "%v:%v", k, v)
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first = false
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}
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sb.WriteString("]")
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return sb.String()
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}
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// NewCustom creates a [Table] with custom [Hash] and [EqualFunc]
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// functions, along with any [Option] the user provides.
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func NewCustom[K, V any](hashA, hashB Hash[K], compare EqualFunc[K], options ...Option) *Table[K, V] {
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settings := &settings{
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growthFactor: DefaultGrowthFactor,
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bucketSize: DefaultCapacity,
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minLoadFactor: defaultMinimumLoad,
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}
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for _, option := range options {
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option(settings)
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}
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return &Table[K, V]{
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growthFactor: settings.growthFactor,
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minLoadFactor: settings.minLoadFactor,
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tableA: newSubtable[K, V](settings.bucketSize, hashA, compare),
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tableB: newSubtable[K, V](settings.bucketSize, hashB, compare),
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}
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}
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func pipe[X, Y, Z any](a func(X) Y, b func(Y) Z) func(X) Z {
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return func(x X) Z { return b(a(x)) }
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}
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// NewBy creates a [Table] for any key type by using keyFunc to derive a
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// comparable key. Two keys with the same derived key are treated as equal.
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func NewBy[K, V any, C comparable](keyFunc func(K) C, options ...Option) *Table[K, V] {
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return NewCustom[K, V](
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pipe(keyFunc, NewDefaultHash[C]()),
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pipe(keyFunc, NewDefaultHash[C]()),
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func(a, b K) bool { return keyFunc(a) == keyFunc(b) },
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options...,
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)
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}
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// New creates a [Table] using the default [Hash] and [EqualFunc]. Use
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// the [Option] functions to configure its behavior. Note that this constructor
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// is only provided for comparable keys. For arbitrary keys, consider
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// [NewBy] or [NewCustom].
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func New[K comparable, V any](options ...Option) *Table[K, V] {
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return NewCustom[K, V](NewDefaultHash[K](), NewDefaultHash[K](), DefaultEqualFunc[K], options...)
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}
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