1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
|
/***************************************************************************
* _ _ ____ _
* Project ___| | | | _ \| |
* / __| | | | |_) | |
* | (__| |_| | _ <| |___
* \___|\___/|_| \_\_____|
*
* Copyright (C) Daniel Stenberg, <daniel@haxx.se>, et al.
*
* This software is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at https://curl.se/docs/copyright.html.
*
* You may opt to use, copy, modify, merge, publish, distribute and/or sell
* copies of the Software, and permit persons to whom the Software is
* furnished to do so, under the terms of the COPYING file.
*
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
* KIND, either express or implied.
*
* SPDX-License-Identifier: curl
*
***************************************************************************/
#include "curl_setup.h"
#include "timeval.h"
#include "splay.h"
/*
* This macro compares two node keys i and j and returns:
*
* negative value: when i is smaller than j
* zero : when i is equal to j
* positive when : when i is larger than j
*/
#define compare(i,j) Curl_timediff_us(i,j)
/*
* Splay using the key i (which may or may not be in the tree.) The starting
* root is t.
*/
struct Curl_tree *Curl_splay(struct curltime i,
struct Curl_tree *t)
{
struct Curl_tree N, *l, *r, *y;
if(!t)
return NULL;
N.smaller = N.larger = NULL;
l = r = &N;
for(;;) {
timediff_t comp = compare(i, t->key);
if(comp < 0) {
if(!t->smaller)
break;
if(compare(i, t->smaller->key) < 0) {
y = t->smaller; /* rotate smaller */
t->smaller = y->larger;
y->larger = t;
t = y;
if(!t->smaller)
break;
}
r->smaller = t; /* link smaller */
r = t;
t = t->smaller;
}
else if(comp > 0) {
if(!t->larger)
break;
if(compare(i, t->larger->key) > 0) {
y = t->larger; /* rotate larger */
t->larger = y->smaller;
y->smaller = t;
t = y;
if(!t->larger)
break;
}
l->larger = t; /* link larger */
l = t;
t = t->larger;
}
else
break;
}
l->larger = t->smaller; /* assemble */
r->smaller = t->larger;
t->smaller = N.larger;
t->larger = N.smaller;
return t;
}
/* Insert key i into the tree t. Return a pointer to the resulting tree or
* NULL if something went wrong.
*
* @unittest: 1309
*/
struct Curl_tree *Curl_splayinsert(struct curltime i,
struct Curl_tree *t,
struct Curl_tree *node)
{
static const struct curltime KEY_NOTUSED = {
~0, -1
}; /* will *NEVER* appear */
DEBUGASSERT(node);
if(t) {
t = Curl_splay(i, t);
DEBUGASSERT(t);
if(compare(i, t->key) == 0) {
/* There already exists a node in the tree with the same key. Build a
doubly-linked circular list of nodes. We add the new 'node' struct to
the end of this list. */
node->key = KEY_NOTUSED; /* we set the key in the sub node to NOTUSED
to quickly identify this node as a subnode */
node->samen = t;
node->samep = t->samep;
t->samep->samen = node;
t->samep = node;
return t; /* the root node always stays the same */
}
}
if(!t) {
node->smaller = node->larger = NULL;
}
else if(compare(i, t->key) < 0) {
node->smaller = t->smaller;
node->larger = t;
t->smaller = NULL;
}
else {
node->larger = t->larger;
node->smaller = t;
t->larger = NULL;
}
node->key = i;
/* no identical nodes (yet), we are the only one in the list of nodes */
node->samen = node;
node->samep = node;
return node;
}
/* Finds and deletes the best-fit node from the tree. Return a pointer to the
resulting tree. best-fit means the smallest node if it is not larger than
the key */
struct Curl_tree *Curl_splaygetbest(struct curltime i,
struct Curl_tree *t,
struct Curl_tree **removed)
{
static const struct curltime tv_zero = {0, 0};
struct Curl_tree *x;
if(!t) {
*removed = NULL; /* none removed since there was no root */
return NULL;
}
/* find smallest */
t = Curl_splay(tv_zero, t);
DEBUGASSERT(t);
if(compare(i, t->key) < 0) {
/* even the smallest is too big */
*removed = NULL;
return t;
}
/* FIRST! Check if there is a list with identical keys */
x = t->samen;
if(x != t) {
/* there is, pick one from the list */
/* 'x' is the new root node */
x->key = t->key;
x->larger = t->larger;
x->smaller = t->smaller;
x->samep = t->samep;
t->samep->samen = x;
*removed = t;
return x; /* new root */
}
/* we splayed the tree to the smallest element, there is no smaller */
x = t->larger;
*removed = t;
return x;
}
/* Deletes the node we point out from the tree if it is there. Stores a
* pointer to the new resulting tree in 'newroot'.
*
* Returns zero on success and non-zero on errors!
* When returning error, it does not touch the 'newroot' pointer.
*
* NOTE: when the last node of the tree is removed, there is no tree left so
* 'newroot' will be made to point to NULL.
*
* @unittest: 1309
*/
int Curl_splayremove(struct Curl_tree *t,
struct Curl_tree *removenode,
struct Curl_tree **newroot)
{
static const struct curltime KEY_NOTUSED = {
~0, -1
}; /* will *NEVER* appear */
struct Curl_tree *x;
if(!t)
return 1;
DEBUGASSERT(removenode);
if(compare(KEY_NOTUSED, removenode->key) == 0) {
/* Key set to NOTUSED means it is a subnode within a 'same' linked list
and thus we can unlink it easily. */
if(removenode->samen == removenode)
/* A non-subnode should never be set to KEY_NOTUSED */
return 3;
removenode->samep->samen = removenode->samen;
removenode->samen->samep = removenode->samep;
/* Ensures that double-remove gets caught. */
removenode->samen = removenode;
*newroot = t; /* return the same root */
return 0;
}
t = Curl_splay(removenode->key, t);
DEBUGASSERT(t);
/* First make sure that we got the same root node as the one we want
to remove, as otherwise we might be trying to remove a node that
is not actually in the tree.
We cannot just compare the keys here as a double remove in quick
succession of a node with key != KEY_NOTUSED && same != NULL
could return the same key but a different node. */
if(t != removenode)
return 2;
/* Check if there is a list with identical sizes, as then we are trying to
remove the root node of a list of nodes with identical keys. */
x = t->samen;
if(x != t) {
/* 'x' is the new root node, we just make it use the root node's
smaller/larger links */
x->key = t->key;
x->larger = t->larger;
x->smaller = t->smaller;
x->samep = t->samep;
t->samep->samen = x;
}
else {
/* Remove the root node */
if(!t->smaller)
x = t->larger;
else {
x = Curl_splay(removenode->key, t->smaller);
DEBUGASSERT(x);
x->larger = t->larger;
}
}
*newroot = x; /* store new root pointer */
return 0;
}
/* set and get the custom payload for this tree node */
void Curl_splayset(struct Curl_tree *node, void *payload)
{
DEBUGASSERT(node);
node->ptr = payload;
}
void *Curl_splayget(struct Curl_tree *node)
{
DEBUGASSERT(node);
return node->ptr;
}
|