312 lines
7.1 KiB
Go
312 lines
7.1 KiB
Go
// Fully persistent data structures. A persistent data structure is a data
|
|
// structure that always preserves the previous version of itself when
|
|
// it is modified. Such data structures are effectively immutable,
|
|
// as their operations do not update the structure in-place, but instead
|
|
// always yield a new structure.
|
|
//
|
|
// Persistent
|
|
// data structures typically share structure among themselves. This allows
|
|
// operations to avoid copying the entire data structure.
|
|
package ps
|
|
|
|
import (
|
|
"bytes"
|
|
"fmt"
|
|
)
|
|
|
|
// Any is a shorthand for Go's verbose interface{} type.
|
|
type Any interface{}
|
|
|
|
// A Map associates unique keys (type string) with values (type Any).
|
|
type Map interface {
|
|
// IsNil returns true if the Map is empty
|
|
IsNil() bool
|
|
|
|
// Set returns a new map in which key and value are associated.
|
|
// If the key didn't exist before, it's created; otherwise, the
|
|
// associated value is changed.
|
|
// This operation is O(log N) in the number of keys.
|
|
Set(key string, value Any) Map
|
|
|
|
// Delete returns a new map with the association for key, if any, removed.
|
|
// This operation is O(log N) in the number of keys.
|
|
Delete(key string) Map
|
|
|
|
// Lookup returns the value associated with a key, if any. If the key
|
|
// exists, the second return value is true; otherwise, false.
|
|
// This operation is O(log N) in the number of keys.
|
|
Lookup(key string) (Any, bool)
|
|
|
|
// Size returns the number of key value pairs in the map.
|
|
// This takes O(1) time.
|
|
Size() int
|
|
|
|
// ForEach executes a callback on each key value pair in the map.
|
|
ForEach(f func(key string, val Any))
|
|
|
|
// Keys returns a slice with all keys in this map.
|
|
// This operation is O(N) in the number of keys.
|
|
Keys() []string
|
|
|
|
String() string
|
|
}
|
|
|
|
// Immutable (i.e. persistent) associative array
|
|
const childCount = 8
|
|
const shiftSize = 3
|
|
|
|
type tree struct {
|
|
count int
|
|
hash uint64 // hash of the key (used for tree balancing)
|
|
key string
|
|
value Any
|
|
children [childCount]*tree
|
|
}
|
|
|
|
var nilMap = &tree{}
|
|
|
|
// Recursively set nilMap's subtrees to point at itself.
|
|
// This eliminates all nil pointers in the map structure.
|
|
// All map nodes are created by cloning this structure so
|
|
// they avoid the problem too.
|
|
func init() {
|
|
for i := range nilMap.children {
|
|
nilMap.children[i] = nilMap
|
|
}
|
|
}
|
|
|
|
// NewMap allocates a new, persistent map from strings to values of
|
|
// any type.
|
|
// This is currently implemented as a path-copying binary tree.
|
|
func NewMap() Map {
|
|
return nilMap
|
|
}
|
|
|
|
func (self *tree) IsNil() bool {
|
|
return self == nilMap
|
|
}
|
|
|
|
// clone returns an exact duplicate of a tree node
|
|
func (self *tree) clone() *tree {
|
|
var m tree
|
|
m = *self
|
|
return &m
|
|
}
|
|
|
|
// constants for FNV-1a hash algorithm
|
|
const (
|
|
offset64 uint64 = 14695981039346656037
|
|
prime64 uint64 = 1099511628211
|
|
)
|
|
|
|
// hashKey returns a hash code for a given string
|
|
func hashKey(key string) uint64 {
|
|
hash := offset64
|
|
for _, codepoint := range key {
|
|
hash ^= uint64(codepoint)
|
|
hash *= prime64
|
|
}
|
|
return hash
|
|
}
|
|
|
|
// Set returns a new map similar to this one but with key and value
|
|
// associated. If the key didn't exist, it's created; otherwise, the
|
|
// associated value is changed.
|
|
func (self *tree) Set(key string, value Any) Map {
|
|
hash := hashKey(key)
|
|
return setLowLevel(self, hash, hash, key, value)
|
|
}
|
|
|
|
func setLowLevel(self *tree, partialHash, hash uint64, key string, value Any) *tree {
|
|
if self.IsNil() { // an empty tree is easy
|
|
m := self.clone()
|
|
m.count = 1
|
|
m.hash = hash
|
|
m.key = key
|
|
m.value = value
|
|
return m
|
|
}
|
|
|
|
if hash != self.hash {
|
|
m := self.clone()
|
|
i := partialHash % childCount
|
|
m.children[i] = setLowLevel(self.children[i], partialHash>>shiftSize, hash, key, value)
|
|
recalculateCount(m)
|
|
return m
|
|
}
|
|
|
|
// replacing a key's previous value
|
|
m := self.clone()
|
|
m.value = value
|
|
return m
|
|
}
|
|
|
|
// modifies a map by recalculating its key count based on the counts
|
|
// of its subtrees
|
|
func recalculateCount(m *tree) {
|
|
count := 0
|
|
for _, t := range m.children {
|
|
count += t.Size()
|
|
}
|
|
m.count = count + 1 // add one to count ourself
|
|
}
|
|
|
|
func (m *tree) Delete(key string) Map {
|
|
hash := hashKey(key)
|
|
newMap, _ := deleteLowLevel(m, hash, hash)
|
|
return newMap
|
|
}
|
|
|
|
func deleteLowLevel(self *tree, partialHash, hash uint64) (*tree, bool) {
|
|
// empty trees are easy
|
|
if self.IsNil() {
|
|
return self, false
|
|
}
|
|
|
|
if hash != self.hash {
|
|
i := partialHash % childCount
|
|
child, found := deleteLowLevel(self.children[i], partialHash>>shiftSize, hash)
|
|
if !found {
|
|
return self, false
|
|
}
|
|
newMap := self.clone()
|
|
newMap.children[i] = child
|
|
recalculateCount(newMap)
|
|
return newMap, true // ? this wasn't in the original code
|
|
}
|
|
|
|
// we must delete our own node
|
|
if self.isLeaf() { // we have no children
|
|
return nilMap, true
|
|
}
|
|
/*
|
|
if self.subtreeCount() == 1 { // only one subtree
|
|
for _, t := range self.children {
|
|
if t != nilMap {
|
|
return t, true
|
|
}
|
|
}
|
|
panic("Tree with 1 subtree actually had no subtrees")
|
|
}
|
|
*/
|
|
|
|
// find a node to replace us
|
|
i := -1
|
|
size := -1
|
|
for j, t := range self.children {
|
|
if t.Size() > size {
|
|
i = j
|
|
size = t.Size()
|
|
}
|
|
}
|
|
|
|
// make chosen leaf smaller
|
|
replacement, child := self.children[i].deleteLeftmost()
|
|
newMap := replacement.clone()
|
|
for j := range self.children {
|
|
if j == i {
|
|
newMap.children[j] = child
|
|
} else {
|
|
newMap.children[j] = self.children[j]
|
|
}
|
|
}
|
|
recalculateCount(newMap)
|
|
return newMap, true
|
|
}
|
|
|
|
// delete the leftmost node in a tree returning the node that
|
|
// was deleted and the tree left over after its deletion
|
|
func (m *tree) deleteLeftmost() (*tree, *tree) {
|
|
if m.isLeaf() {
|
|
return m, nilMap
|
|
}
|
|
|
|
for i, t := range m.children {
|
|
if t != nilMap {
|
|
deleted, child := t.deleteLeftmost()
|
|
newMap := m.clone()
|
|
newMap.children[i] = child
|
|
recalculateCount(newMap)
|
|
return deleted, newMap
|
|
}
|
|
}
|
|
panic("Tree isn't a leaf but also had no children. How does that happen?")
|
|
}
|
|
|
|
// isLeaf returns true if this is a leaf node
|
|
func (m *tree) isLeaf() bool {
|
|
return m.Size() == 1
|
|
}
|
|
|
|
// returns the number of child subtrees we have
|
|
func (m *tree) subtreeCount() int {
|
|
count := 0
|
|
for _, t := range m.children {
|
|
if t != nilMap {
|
|
count++
|
|
}
|
|
}
|
|
return count
|
|
}
|
|
|
|
func (m *tree) Lookup(key string) (Any, bool) {
|
|
hash := hashKey(key)
|
|
return lookupLowLevel(m, hash, hash)
|
|
}
|
|
|
|
func lookupLowLevel(self *tree, partialHash, hash uint64) (Any, bool) {
|
|
if self.IsNil() { // an empty tree is easy
|
|
return nil, false
|
|
}
|
|
|
|
if hash != self.hash {
|
|
i := partialHash % childCount
|
|
return lookupLowLevel(self.children[i], partialHash>>shiftSize, hash)
|
|
}
|
|
|
|
// we found it
|
|
return self.value, true
|
|
}
|
|
|
|
func (m *tree) Size() int {
|
|
return m.count
|
|
}
|
|
|
|
func (m *tree) ForEach(f func(key string, val Any)) {
|
|
if m.IsNil() {
|
|
return
|
|
}
|
|
|
|
// ourself
|
|
f(m.key, m.value)
|
|
|
|
// children
|
|
for _, t := range m.children {
|
|
if t != nilMap {
|
|
t.ForEach(f)
|
|
}
|
|
}
|
|
}
|
|
|
|
func (m *tree) Keys() []string {
|
|
keys := make([]string, m.Size())
|
|
i := 0
|
|
m.ForEach(func(k string, v Any) {
|
|
keys[i] = k
|
|
i++
|
|
})
|
|
return keys
|
|
}
|
|
|
|
// make it easier to display maps for debugging
|
|
func (m *tree) String() string {
|
|
keys := m.Keys()
|
|
buf := bytes.NewBufferString("{")
|
|
for _, key := range keys {
|
|
val, _ := m.Lookup(key)
|
|
fmt.Fprintf(buf, "%s: %s, ", key, val)
|
|
}
|
|
fmt.Fprintf(buf, "}\n")
|
|
return buf.String()
|
|
}
|