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/* Rax -- A radix tree implementation.
*
* Copyright (c) 2017-2018, Salvatore Sanfilippo <antirez at gmail dot com>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* * Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of Redis nor the names of its contributors may be used
* to endorse or promote products derived from this software without
* specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*/
/* Representation of a radix tree as implemented in this file, that contains
* the strings "foo", "foobar" and "footer" after the insertion of each
* word. When the node represents a key inside the radix tree, we write it
* between [], otherwise it is written between ().
*
* This is the vanilla representation:
*
* (f) ""
* \
* (o) "f"
* \
* (o) "fo"
* \
* [t b] "foo"
* / \
* "foot" (e) (a) "foob"
* / \
* "foote" (r) (r) "fooba"
* / \
* "footer" [] [] "foobar"
*
* However, this implementation implements a very common optimization where
* successive nodes having a single child are "compressed" into the node
* itself as a string of characters, each representing a next-level child,
* and only the link to the node representing the last character node is
* provided inside the representation. So the above representation is turned
* into:
*
* ["foo"] ""
* |
* [t b] "foo"
* / \
* "foot" ("er") ("ar") "foob"
* / \
* "footer" [] [] "foobar"
*
* However this optimization makes the implementation a bit more complex.
* For instance if a key "first" is added in the above radix tree, a
* "node splitting" operation is needed, since the "foo" prefix is no longer
* composed of nodes having a single child one after the other. This is the
* above tree and the resulting node splitting after this event happens:
*
*
* (f) ""
* /
* (i o) "f"
* / \
* "firs" ("rst") (o) "fo"
* / \
* "first" [] [t b] "foo"
* / \
* "foot" ("er") ("ar") "foob"
* / \
* "footer" [] [] "foobar"
*
* Similarly after deletion, if a new chain of nodes having a single child
* is created (the chain must also not include nodes that represent keys),
* it must be compressed back into a single node.
*
*/
typedef struct raxNode raxNode;
typedef struct rax rax;
/* Stack data structure used by raxLowWalk() in order to, optionally, return
* a list of parent nodes to the caller. The nodes do not have a "parent"
* field for space concerns, so we use the auxiliary stack when needed. */
typedef struct raxStack raxStack;
/* Optional callback used for iterators and be notified on each rax node,
* including nodes not representing keys. If the callback returns true
* the callback changed the node pointer in the iterator structure, and the
* iterator implementation will have to replace the pointer in the radix tree
* internals. This allows the callback to reallocate the node to perform
* very special operations, normally not needed by normal applications.
*
* This callback is used to perform very low level analysis of the radix tree
* structure, scanning each possible node (but the root node), or in order to
* reallocate the nodes to reduce the allocation fragmentation (this is the
* Redis application for this callback).
*
* This is currently only supported in forward iterations (raxNext) */
typedef int ;
/* Radix tree iterator state is encapsulated into this data structure. */
typedef struct raxIterator raxIterator;
/* A special pointer returned for not found items. */
extern void *raxNotFound;
/* Exported API. */
rax *;
int ;
int ;
int ;
void *;
void ;
void ;
void ;
int ;
int ;
int ;
int ;
int ;
void ;
int ;
void ;
uint64_t ;
unsigned long ;
void ;
/* Internal API. May be used by the node callback in order to access rax nodes
* in a low level way, so this function is exported as well. */
void ;