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1 package radix
2
3 import (
4 "sort"
5 "strings"
6 )
7
8 // WalkFn is used when walking the tree. Takes a
9 // key and value, returning if iteration should
10 // be terminated.
11 type WalkFn func(s string, v interface{}) bool
12
13 // leafNode is used to represent a value
14 type leafNode struct {
15 key string
16 val interface{}
17 }
18
19 // edge is used to represent an edge node
20 type edge struct {
21 label byte
22 node *node
23 }
24
25 type node struct {
26 // leaf is used to store possible leaf
27 leaf *leafNode
28
29 // prefix is the common prefix we ignore
30 prefix string
31
32 // Edges should be stored in-order for iteration.
33 // We avoid a fully materialized slice to save memory,
34 // since in most cases we expect to be sparse
35 edges edges
36 }
37
38 func (n *node) isLeaf() bool {
39 return n.leaf != nil
40 }
41
42 func (n *node) addEdge(e edge) {
43 n.edges = append(n.edges, e)
44 n.edges.Sort()
45 }
46
47 func (n *node) updateEdge(label byte, node *node) {
48 num := len(n.edges)
49 idx := sort.Search(num, func(i int) bool {
50 return n.edges[i].label >= label
51 })
52 if idx < num && n.edges[idx].label == label {
53 n.edges[idx].node = node
54 return
55 }
56 panic("replacing missing edge")
57 }
58
59 func (n *node) getEdge(label byte) *node {
60 num := len(n.edges)
61 idx := sort.Search(num, func(i int) bool {
62 return n.edges[i].label >= label
63 })
64 if idx < num && n.edges[idx].label == label {
65 return n.edges[idx].node
66 }
67 return nil
68 }
69
70 func (n *node) delEdge(label byte) {
71 num := len(n.edges)
72 idx := sort.Search(num, func(i int) bool {
73 return n.edges[i].label >= label
74 })
75 if idx < num && n.edges[idx].label == label {
76 copy(n.edges[idx:], n.edges[idx+1:])
77 n.edges[len(n.edges)-1] = edge{}
78 n.edges = n.edges[:len(n.edges)-1]
79 }
80 }
81
82 type edges []edge
83
84 func (e edges) Len() int {
85 return len(e)
86 }
87
88 func (e edges) Less(i, j int) bool {
89 return e[i].label < e[j].label
90 }
91
92 func (e edges) Swap(i, j int) {
93 e[i], e[j] = e[j], e[i]
94 }
95
96 func (e edges) Sort() {
97 sort.Sort(e)
98 }
99
100 // Tree implements a radix tree. This can be treated as a
101 // Dictionary abstract data type. The main advantage over
102 // a standard hash map is prefix-based lookups and
103 // ordered iteration,
104 type Tree struct {
105 root *node
106 size int
107 }
108
109 // New returns an empty Tree
110 func New() *Tree {
111 return NewFromMap(nil)
112 }
113
114 // NewFromMap returns a new tree containing the keys
115 // from an existing map
116 func NewFromMap(m map[string]interface{}) *Tree {
117 t := &Tree{root: &node{}}
118 for k, v := range m {
119 t.Insert(k, v)
120 }
121 return t
122 }
123
124 // Len is used to return the number of elements in the tree
125 func (t *Tree) Len() int {
126 return t.size
127 }
128
129 // longestPrefix finds the length of the shared prefix
130 // of two strings
131 func longestPrefix(k1, k2 string) int {
132 max := len(k1)
133 if l := len(k2); l < max {
134 max = l
135 }
136 var i int
137 for i = 0; i < max; i++ {
138 if k1[i] != k2[i] {
139 break
140 }
141 }
142 return i
143 }
144
145 // Insert is used to add a newentry or update
146 // an existing entry. Returns if updated.
147 func (t *Tree) Insert(s string, v interface{}) (interface{}, bool) {
148 var parent *node
149 n := t.root
150 search := s
151 for {
152 // Handle key exhaution
153 if len(search) == 0 {
154 if n.isLeaf() {
155 old := n.leaf.val
156 n.leaf.val = v
157 return old, true
158 }
159
160 n.leaf = &leafNode{
161 key: s,
162 val: v,
163 }
164 t.size++
165 return nil, false
166 }
167
168 // Look for the edge
169 parent = n
170 n = n.getEdge(search[0])
171
172 // No edge, create one
173 if n == nil {
174 e := edge{
175 label: search[0],
176 node: &node{
177 leaf: &leafNode{
178 key: s,
179 val: v,
180 },
181 prefix: search,
182 },
183 }
184 parent.addEdge(e)
185 t.size++
186 return nil, false
187 }
188
189 // Determine longest prefix of the search key on match
190 commonPrefix := longestPrefix(search, n.prefix)
191 if commonPrefix == len(n.prefix) {
192 search = search[commonPrefix:]
193 continue
194 }
195
196 // Split the node
197 t.size++
198 child := &node{
199 prefix: search[:commonPrefix],
200 }
201 parent.updateEdge(search[0], child)
202
203 // Restore the existing node
204 child.addEdge(edge{
205 label: n.prefix[commonPrefix],
206 node: n,
207 })
208 n.prefix = n.prefix[commonPrefix:]
209
210 // Create a new leaf node
211 leaf := &leafNode{
212 key: s,
213 val: v,
214 }
215
216 // If the new key is a subset, add to to this node
217 search = search[commonPrefix:]
218 if len(search) == 0 {
219 child.leaf = leaf
220 return nil, false
221 }
222
223 // Create a new edge for the node
224 child.addEdge(edge{
225 label: search[0],
226 node: &node{
227 leaf: leaf,
228 prefix: search,
229 },
230 })
231 return nil, false
232 }
233 }
234
235 // Delete is used to delete a key, returning the previous
236 // value and if it was deleted
237 func (t *Tree) Delete(s string) (interface{}, bool) {
238 var parent *node
239 var label byte
240 n := t.root
241 search := s
242 for {
243 // Check for key exhaution
244 if len(search) == 0 {
245 if !n.isLeaf() {
246 break
247 }
248 goto DELETE
249 }
250
251 // Look for an edge
252 parent = n
253 label = search[0]
254 n = n.getEdge(label)
255 if n == nil {
256 break
257 }
258
259 // Consume the search prefix
260 if strings.HasPrefix(search, n.prefix) {
261 search = search[len(n.prefix):]
262 } else {
263 break
264 }
265 }
266 return nil, false
267
268 DELETE:
269 // Delete the leaf
270 leaf := n.leaf
271 n.leaf = nil
272 t.size--
273
274 // Check if we should delete this node from the parent
275 if parent != nil && len(n.edges) == 0 {
276 parent.delEdge(label)
277 }
278
279 // Check if we should merge this node
280 if n != t.root && len(n.edges) == 1 {
281 n.mergeChild()
282 }
283
284 // Check if we should merge the parent's other child
285 if parent != nil && parent != t.root && len(parent.edges) == 1 && !parent.isLeaf() {
286 parent.mergeChild()
287 }
288
289 return leaf.val, true
290 }
291
292 // DeletePrefix is used to delete the subtree under a prefix
293 // Returns how many nodes were deleted
294 // Use this to delete large subtrees efficiently
295 func (t *Tree) DeletePrefix(s string) int {
296 return t.deletePrefix(nil, t.root, s)
297 }
298
299 // delete does a recursive deletion
300 func (t *Tree) deletePrefix(parent, n *node, prefix string) int {
301 // Check for key exhaustion
302 if len(prefix) == 0 {
303 // Remove the leaf node
304 subTreeSize := 0
305 //recursively walk from all edges of the node to be deleted
306 recursiveWalk(n, func(s string, v interface{}) bool {
307 subTreeSize++
308 return false
309 })
310 if n.isLeaf() {
311 n.leaf = nil
312 }
313 n.edges = nil // deletes the entire subtree
314
315 // Check if we should merge the parent's other child
316 if parent != nil && parent != t.root && len(parent.edges) == 1 && !parent.isLeaf() {
317 parent.mergeChild()
318 }
319 t.size -= subTreeSize
320 return subTreeSize
321 }
322
323 // Look for an edge
324 label := prefix[0]
325 child := n.getEdge(label)
326 if child == nil || (!strings.HasPrefix(child.prefix, prefix) && !strings.HasPrefix(prefix, child.prefix)) {
327 return 0
328 }
329
330 // Consume the search prefix
331 if len(child.prefix) > len(prefix) {
332 prefix = prefix[len(prefix):]
333 } else {
334 prefix = prefix[len(child.prefix):]
335 }
336 return t.deletePrefix(n, child, prefix)
337 }
338
339 func (n *node) mergeChild() {
340 e := n.edges[0]
341 child := e.node
342 n.prefix = n.prefix + child.prefix
343 n.leaf = child.leaf
344 n.edges = child.edges
345 }
346
347 // Get is used to lookup a specific key, returning
348 // the value and if it was found
349 func (t *Tree) Get(s string) (interface{}, bool) {
350 n := t.root
351 search := s
352 for {
353 // Check for key exhaution
354 if len(search) == 0 {
355 if n.isLeaf() {
356 return n.leaf.val, true
357 }
358 break
359 }
360
361 // Look for an edge
362 n = n.getEdge(search[0])
363 if n == nil {
364 break
365 }
366
367 // Consume the search prefix
368 if strings.HasPrefix(search, n.prefix) {
369 search = search[len(n.prefix):]
370 } else {
371 break
372 }
373 }
374 return nil, false
375 }
376
377 // LongestPrefix is like Get, but instead of an
378 // exact match, it will return the longest prefix match.
379 func (t *Tree) LongestPrefix(s string) (string, interface{}, bool) {
380 var last *leafNode
381 n := t.root
382 search := s
383 for {
384 // Look for a leaf node
385 if n.isLeaf() {
386 last = n.leaf
387 }
388
389 // Check for key exhaution
390 if len(search) == 0 {
391 break
392 }
393
394 // Look for an edge
395 n = n.getEdge(search[0])
396 if n == nil {
397 break
398 }
399
400 // Consume the search prefix
401 if strings.HasPrefix(search, n.prefix) {
402 search = search[len(n.prefix):]
403 } else {
404 break
405 }
406 }
407 if last != nil {
408 return last.key, last.val, true
409 }
410 return "", nil, false
411 }
412
413 // Minimum is used to return the minimum value in the tree
414 func (t *Tree) Minimum() (string, interface{}, bool) {
415 n := t.root
416 for {
417 if n.isLeaf() {
418 return n.leaf.key, n.leaf.val, true
419 }
420 if len(n.edges) > 0 {
421 n = n.edges[0].node
422 } else {
423 break
424 }
425 }
426 return "", nil, false
427 }
428
429 // Maximum is used to return the maximum value in the tree
430 func (t *Tree) Maximum() (string, interface{}, bool) {
431 n := t.root
432 for {
433 if num := len(n.edges); num > 0 {
434 n = n.edges[num-1].node
435 continue
436 }
437 if n.isLeaf() {
438 return n.leaf.key, n.leaf.val, true
439 }
440 break
441 }
442 return "", nil, false
443 }
444
445 // Walk is used to walk the tree
446 func (t *Tree) Walk(fn WalkFn) {
447 recursiveWalk(t.root, fn)
448 }
449
450 // WalkPrefix is used to walk the tree under a prefix
451 func (t *Tree) WalkPrefix(prefix string, fn WalkFn) {
452 n := t.root
453 search := prefix
454 for {
455 // Check for key exhaution
456 if len(search) == 0 {
457 recursiveWalk(n, fn)
458 return
459 }
460
461 // Look for an edge
462 n = n.getEdge(search[0])
463 if n == nil {
464 break
465 }
466
467 // Consume the search prefix
468 if strings.HasPrefix(search, n.prefix) {
469 search = search[len(n.prefix):]
470
471 } else if strings.HasPrefix(n.prefix, search) {
472 // Child may be under our search prefix
473 recursiveWalk(n, fn)
474 return
475 } else {
476 break
477 }
478 }
479
480 }
481
482 // WalkPath is used to walk the tree, but only visiting nodes
483 // from the root down to a given leaf. Where WalkPrefix walks
484 // all the entries *under* the given prefix, this walks the
485 // entries *above* the given prefix.
486 func (t *Tree) WalkPath(path string, fn WalkFn) {
487 n := t.root
488 search := path
489 for {
490 // Visit the leaf values if any
491 if n.leaf != nil && fn(n.leaf.key, n.leaf.val) {
492 return
493 }
494
495 // Check for key exhaution
496 if len(search) == 0 {
497 return
498 }
499
500 // Look for an edge
501 n = n.getEdge(search[0])
502 if n == nil {
503 return
504 }
505
506 // Consume the search prefix
507 if strings.HasPrefix(search, n.prefix) {
508 search = search[len(n.prefix):]
509 } else {
510 break
511 }
512 }
513 }
514
515 // recursiveWalk is used to do a pre-order walk of a node
516 // recursively. Returns true if the walk should be aborted
517 func recursiveWalk(n *node, fn WalkFn) bool {
518 // Visit the leaf values if any
519 if n.leaf != nil && fn(n.leaf.key, n.leaf.val) {
520 return true
521 }
522
523 // Recurse on the children
524 for _, e := range n.edges {
525 if recursiveWalk(e.node, fn) {
526 return true
527 }
528 }
529 return false
530 }
531
532 // ToMap is used to walk the tree and convert it into a map
533 func (t *Tree) ToMap() map[string]interface{} {
534 out := make(map[string]interface{}, t.size)
535 t.Walk(func(k string, v interface{}) bool {
536 out[k] = v
537 return false
538 })
539 return out
540 }