flatpress/fp-includes/core/core.bplustree.class.php
2024-01-21 13:44:35 +01:00

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<?php
/*
*
* PHP B+tree library
* ==============
*
* (c)2008 E.Vacchi <real_nowhereman at users.sourceforge.net>
* Based on the original work by Aaron Watters (bplustree.py)
*
* Classes:
*
* - BPlustTree
* Mapping keys, integers
*
* - caching_BPT
* Subclass of BPlusTree, caching
* key,value pairs
* read-only: create using BPlusTree, read
* using caching_BPT
*
*
* Usage
* =====
*
* # creation
* $f = fopen('myfile', 'w+');
* $o = new BPlusTree($f, $seek_start, $node_size, $keylen);
* $o->startup();
*
* $o->setitem('my-key', 123);
* $o->setitem('my-key-2', 456);
*
* $o->delitem('my-key-2');
*
*
* # read-only
* $f = open('myfile', 'r');
* $o = caching_BPT($f);
*
* $o->open();
* echo $o->getitem('my-key');
*
* Methods:
*
* void setitem($key, $val)
* int getitem($key)
* void delitem($key)
* bool has_key($key)
* object walker() : returns an iterator
*
*
* Walking (iterate)
* =================
*
* $walker = $tree->walker(
* string $key_lower, bool $include_lower,
* string $key_upper, bool $include_upper);
* while ($walker->valid) {
* echo $walker->current_key(),
* $walker->current_value();
* $walker->next();
* }
* $walker->first(); #resets internal pointer
*
*
* Internal FIFO
* =============
*
* $tree->enable_fifo();
* do_some_processing();
* $tree->disable_fifo();
*
* This should make the processing (slightly) faster
* when key accesses are localized. Don't use it in walking
* (no need for it) or for single write operations.
*
* enable_fifo() takes an optional parameter $length
* (defaults to 33) remember that larger fifos will consume
* more memory.
*
*
* Other options
* =============
*
* This PHP implementation slightly differs from the Python
* one, because you can choose a constant (affecting all of the
* instanced objects) defining the order relation of the keys.
*
* Usually you would like your keys to be sorted ascending
* (SORT_ASC, the default), but sometimes you might want
* to create a btree where keys are kept in reverse order.
*
* In this case, you just have to define somewhere in your code
*
* define('BPT_SORT', SORT_DESC);
*
* and the include the library.
*
* This somehow weird approach should however make the computation
* slightly faster: the setting is evaluated only once,
* when including the library; the compare routine is then defined
* accordingly, and never checked again; otherwise the compare
* routine would have to check the setting each time it's called.
*
*/
function d($s) {
return; // disable debug output
if (is_array($s)) {
$s = '{ ' . implode(", ", $s) . ' }';
}
$x = debug_backtrace();
$f = @$x [1] ['function'];
$l = $x [0] ['line'];
echo "[{$f}:{$l}]\t", $s, "\n";
// echo "---[{$x[2]['function']}:{$x[2]['line']}]\n";
}
error_reporting(E_ALL);
if (!defined('BPT_SORT')) {
/**
*
* @const int type of sorting, defaults to SORT_ASC (ascending);
* SORT_DESC (descending) is also possibile
*/
define('BPT_SORT', SORT_ASC);
}
/**
*
* @const int no room error
*/
define('NOROOMERROR', -100);
/**
*
* @const int null node
*/
define('BPT_NULL', 0);
/**
*
* @const int null seek position
*/
define('BPT_NULLSEEK', 0);
/**
*
* @const string magic string for bplustree
*/
define('BPT_VERSION_MAGIC', 'BPT01');
// define('BPT_INT_SIZE', 4);
/**
*
* @const int root bit flag
*/
define('BPT_FLAG_ROOT_BIT', 1);
/**
*
* @const int interior node flag
*/
define('BPT_FLAG_INTERIOR', 2);
/**
*
* @const int root flag, shorthand for BPT_FLAG_ROOT_BIT | BPT_FLAG_INTERIOR
*/
define('BPT_FLAG_ROOT', BPT_FLAG_ROOT_BIT | BPT_FLAG_INTERIOR);
/**
*
* @const int free node flag
*/
define('BPT_FLAG_FREE', 4);
/**
*
* @const int leaf flag
*/
define('BPT_FLAG_LEAF', 8);
/**
*
* @const int leaf+root flag, shorthand for BPT_FLAG_ROOT_BIT | BPT_FLAG_LEAF
*/
define('BPT_FLAG_LEAFANDROOT', BPT_FLAG_ROOT_BIT | BPT_FLAG_LEAF);
/**
* Abstraction for array of pairs
* (meaning with "pair" an array containing two elements)
* works only read-only
*/
class pairs {
/**
*
* @var array of the first elements of each pair (private)
*
*/
var $a;
/**
*
* @var array of the second elements of each pair (private)
*
*/
var $b;
/**
*
* @var integer current size of the array of pairs
*
*/
var $count;
/*
* Constructor
* @param array $a array of the first elements of each pair
* @parma array $b array of the second elements of each pair
*
*/
function __construct($a, $b) {
if (($v = count($a)) != count($b))
trigger_error("Size of params must match", E_USER_ERROR);
$this->a = $a;
$this->b = $b;
$this->count = $v;
}
/*
* returns a slice of the current Couplets object as a new Couplets object
* (works like array_slice())
* @param integer $offset offset from the start of the array (count starting from zero)
* @param integer|null $count number of elements to return starting from $offset
*
* @returns pairs object
*
*/
function &slice($offset, $count = null) {
if (is_null($count))
$count = $this->count;
$a = new pairs(array_slice($this->a, $offset, $count), array_slice($this->b, $offset, $count));
return $a;
}
/**
* inserts a pair ($a, $b) at the offset $offset eventually
* pushing other elements to the right
*
* @param int $offset
* offset at which insert
* @param mixed $a
* first element in the pair
* @param mixed $b
* second element in the pair
*/
function insert($offset, $a, $b) {
array_splice($this->a, $offset, 0, $a);
array_splice($this->b, $offset, 0, $b);
$this->count++;
}
/**
* inserts a pair ($a, $b) in the sub-array of pairs
* between $lo and $hi, assuming the array is ordered,
* comparing only the first elements of each pair
* (assumes there aren't duplicates)
* uses {@link BPT_keycmp} for comparing
*
* @param mixed $a
* first element of the pair
* @param mixed $b
* second element of the pair
* @param int $lo
* starting offset of the sub-array
* @param int|nul $hi
* ending offset of the sub-array
*/
function insort($a, $b, $lo = 0, $hi = null) {
if (is_null($hi))
$hi = $this->count;
$A = $this->a;
$X = $a;
while ($lo < $hi) {
$mid = (int) (($lo + $hi) / 2);
if (BPT_keycmp($X, $A [$mid]) < 0)
$hi = $mid;
else
$lo = $mid + 1;
}
$this->insert($lo, $a, $b);
}
/**
* removes the pair at the offset $offset
*
* @param int $offset
* offset of the pair targeted for deletion
*/
function remove($offset) {
array_splice($this->a, $offset, 1);
array_splice($this->b, $offset, 1);
$this->count--;
}
/**
* append at the end of the current object the contents
* of another pairs object
*
* @param pairs $pairs
* a pair object of which the contents
* will be appended to this
*/
function append(&$pairs) {
array_splice($this->a, $this->count, 0, $pairs->a);
array_splice($this->b, $this->count, 0, $pairs->b);
$this->count += $pairs->count;
}
/**
* make the object fields read-only
*/
function __set($x, $y) {
trigger_error("Can't edit pairs directly'", E_USER_ERROR);
}
}
if (BPT_SORT == SORT_ASC) {
/**
* compares key $a and $b using a less-than or greather-than relation
* depending on {@link BPT_SORT} constants
*
* the function is very simple, returns strcmp($a,$b) or -strcmp($a,$b)
* depending on the BPT_SORT constant: to be a little bit faster, no check is done
* by the function itself; instead it is <strong>defined</strong> at load time, depending
* on the value of the BPT_SORT constant
*/
function BPT_keycmp($a, $b) {
return strcmp($a, $b);
}
} else {
function BPT_keycmp($a, $b) {
return -strcmp($a, $b);
}
}
/*
* function _BPT_bisect($a, $x, $lo=0, $hi=null) {
* if (is_null($hi))
* $hi=count($a);
* while($lo<$hi && $a[$lo++]<$x) ;
* return $lo;
* }
*/
/**
* locate an element $x or the nearest bigger one
* in the array $a, starting from offset $lo
* and limiting to offset $hi, assuming that $a is
* ordered by the relation BPT_keycmp
*
* @param mixed $a
* source array
* @param mixed $x
* element to find
* @param int $lo
* leftmost offset
* @param int|null $hi
* rightmost offset
*
* @returns integer
*
*/
function BPT_bisect($a, $x, $lo = 0, $hi = null) {
if (is_null($hi)) {
$hi = count($a);
}
while ($lo < $hi) {
$mid = (int) (($lo + $hi) / 2);
// if ($x < $a[$mid])
if (BPT_keycmp($x, $a [$mid]) < 0)
$hi = $mid;
else
$lo = $mid + 1;
}
return $lo;
}
/*
* function BPT_insort(&$a, $x, $lo=0, $hi=null) {
* if (is_null($hi))
* $hi = count($a);
* while ($lo<$hi) {
* $mid = (int) (($lo+$hi)/2);
* if ($x < $a[$mid])
* $hi = $mid;
* else
* $lo = $mid+1;
* }
* array_splice($a, $lo, 0, array($x));
* }
*/
/*
* fifo of bplustree nodes
*/
class BPlusTree_Node_Fifo {
/**
*
* @var array array of elements
*/
var $fifo = array();
/**
*
* @var array dictionary (associative array) of elements
*/
var $fifo_dict = array();
/**
* var int size of the fifo
*/
var $size;
/**
* constructor
*
* @param int $size
* specifies size (defaults to 30)
*/
function __construct($size = 30) {
$this->fifosize = $size;
}
/**
* flushes all of the contents of the fifo
* to disk
*/
function flush_fifo() {
reset($this->fifo);
while ($node = array_shift($this->fifo)) {
if ($node->dirty) {
$node->store(1);
}
}
$this->fifo = array();
$this->fifo_dict = array();
}
}
/**
* defines structure and methods of the node
* of a bplustree
*/
class BPlusTree_Node {
/**
*
* @var integer flags (defined as BPT_* constants)
* specifying the nature of the node (leaf, interior, and combos)
*
*/
var $flag;
/**
*
* @var integer number of child elements (or values, if a leaf)
*
*/
var $size;
/**
*
* @var int seek position in the file
*
*/
var $position;
/**
*
* @var resource stream where to output the data
* (typically a file open with fopen())
*/
var $infile;
/**
*
* @var int maximum lenght of a string key
*/
var $keylen;
/**
*
* @var array array of strings, containing keys, of size $size
*/
var $keys;
/**
*
* @var array array of longs, of size $size+1
* if leaf, elements in [0,$size] are the values of each key in $keys:
* at offset $size - ($size+1)-th element - there's the seek
* position of the next leaf (or BPT_NULLSEEK if rightmost leaf)
*
* if interior,
*
* - offset 0 points to the child node where keys are
* are all LESS than those in this node (actually, to $keys[0]),
*
* - offset 1 points to the child node where keys are GREATER or EQUAL to $keys[0]
* but LESS than $keys[1],
*
* - offset 2 points to the child node where keys are >= $keys[1] but < $keys[2], etc...
*
*
* with LESS, GREATER we always mean by the relation {@link BPT_keycmp}
*
*
*/
var $indices;
/**
*
* @var bool controls deferred writes (using fifo)
*
*/
var $dirty = false;
/**
*
* @var BPlusTree_Node_Fifo object of type {@link BPlusTree_Node_Fifo}
*/
var $fifo = null;
/**
*
* @var int number of valid keys in $keys
*/
var $validkeys;
var $storage;
/**
* constructor
*
* @param int $flag
* flag of current node
* @param int $size
* size of node
* @param int $keylen
* max key length
* @param long $position
* seek position in file
* @param
* resource resource stream (opened file)
* @param
* BPlusTree_Node object from which cloning properties
*/
function __construct($flag, $size, $keylen, $position, $infile, $cloner = null) {
$this->flag = $flag;
if ($size < 0) {
trigger_error('size must be positive', E_USER_ERROR);
}
$this->size = $size;
$this->keylen = $keylen;
$this->position = $position;
$this->infile = $infile;
// last (+1) is successor seek TODO move to its own!
$this->indices = array_fill(0, $size + 1, BPT_NULL);
$this->keys = array_fill(0, $size, '');
if (is_null($cloner)) {
$this->storage = 2 +
/* 2 chars for flag, validkeys */
$size * 4 + 4 + /* n 4B-long indices + 1 4B-long next pointer*/
$size * $keylen; /* n keylen-bytes long keys */
} else {
$this->storage = $cloner->storage;
$this->fifo = $cloner->fifo;
}
if ($flag == BPT_FLAG_INTERIOR || $flag == BPT_FLAG_ROOT) {
$this->validkeys = -1;
} else {
$this->validkeys = 0;
}
}
/**
* reinitialize keys
*/
function clear() {
$size = $this->size;
// re-init keys
$this->keys = array_fill(0, $size, '');
$this->validkeys = 0;
if (($this->flag & BPT_FLAG_INTERIOR) == BPT_FLAG_INTERIOR) {
// re-init all indices
$this->indices = array_fill(0, $size + 1, BPT_NULL);
$this->validkeys = -1;
} else {
$fwd = $this->indices [$size]; // forward pointer
$this->indices = array_fill(0, $size, BPT_NULL);
$this->keys = array_fill(0, $size, '');
$this->indices [] = $fwd;
}
}
/**
* returns clone of the obect at position $position
*
* @param long $position
* seek position
*/
function &getclone($position) {
if ($this->fifo) {
$dict = & $this->fifo->fifo_dict;
if (isset($dict [$position])) {
return $dict [$position];
}
}
$o = new BPlusTree_Node($this->flag, $this->size, $this->keylen, $position, $this->infile, $this);
return $o;
}
/**
* put first index (seek position for less-than child)
*
* @param int $index
* seek position
*/
function putfirstindex($index) {
if ($this->validkeys >= 0)
trigger_error("Can't putfirstindex on full node", E_USER_ERROR);
$this->indices [0] = $index;
$this->validkeys = 0;
}
/**
* links node $node to this node as a child, using key $key
* (this node must be interior)
*
* @param string $key
* key string
* @param object $node
* node to link
*
*/
function putnode($key, &$node) {
$position = $node->position;
return $this->putposition($key, $position);
// if ($x == NOROOMERROR) {print_r(debug_backtrace());fail();}
}
/*
*
* links a seek position $position to the key $key
*
* @param string $key key string
* @param int $position seek position (pointer to the new child node)
*
*/
function putposition($key, $position) {
if (($this->flag & BPT_FLAG_INTERIOR) != BPT_FLAG_INTERIOR) {
trigger_error("Can't insert into leaf node", E_USER_ERROR);
}
$validkeys = $this->validkeys;
$last = $this->validkeys + 1;
if ($this->validkeys >= $this->size) {
// trigger_error('No room error', E_USER_WARNING);
return NOROOMERROR;
}
// store the key
if ($validkeys < 0) { // no nodes currently
d("no keys");
$this->validkeys = 0;
$this->indices [0] = $position;
} else {
// there are nodes
$keys = & $this->keys;
// is the key there already?
if (in_array($key, $keys, true)) {
if (array_search($key, $keys, true) < $validkeys)
trigger_error("reinsert of node for existing key ($key)", E_USER_ERROR);
}
$place = BPT_bisect($keys, $key, 0, $validkeys);
// insert at position $place
array_splice($keys, $place, 0, $key);
// delete last element
unset($keys [$last]);
$keys = array_values($keys); // reset array indices
// array_splice($keys, $last, 1);
// store the index
$indices = & $this->indices;
// echo "inserting $position before ", var_dump($indices,1), "\n";
array_splice($indices, $place + 1, 0, $position);
unset($indices [$last + 1]);
$indices = array_values($indices);
// array_splice($indices, $last+1, 1);
$this->validkeys = $last;
}
}
/**
* deletes from interior nodes
*
* @param string $key
* target key
*/
function delnode($key) {
// {{{
if (($this->flag & BPT_FLAG_INTERIOR) != BPT_FLAG_INTERIOR) {
trigger_error("Can't delete node from leaf node");
}
if ($this->validkeys < 0) {
trigger_error("No such key (empty)");
}
$validkeys = $this->validkeys;
$indices = & $this->indices;
$keys = & $this->keys;
if (is_null($key)) {
$place = 0;
$indexplace = 0;
} else {
$place = array_search($key, $keys, true);
$indexplace = $place + 1;
}
// unset($indices[$indexplace]);
array_splice($indices, $indexplace, 1);
$indices [] = BPT_NULLSEEK;
// $indices = array_values($indices);
// unset($keys[$place]);
array_splice($keys, $place, 1);
$keys [] = '';
// $keys = array_values($keys);
$this->validkeys = $validkeys - 1;
}
// }}}
/**
* slices the $this->keys array to the number of valid keys
* in $this->validkeys
*
* @returns array array of valid keys
*/
function get_keys() {
$validkeys = $this->validkeys;
if ($validkeys <= 0) {
return array();
}
return array_slice($this->keys, 0, $validkeys);
}
/**
* mimic's python's map(None, a, b);
* a, b must be of the same size
*
* @param array $a
* first array
* @param array $b
* second array
*
* @returns object {@link pairs}
*/
function &_pairs($a, $b) {
$x = new pairs($a, $b);
return $x;
}
/**
* returns an object containing pairs (key, index)
* for all of the valid keys and indices
*
* @param string $leftmost
* leftmost key corresponding
* to first index (seek) in interior nodes; ignored in leaves
*
* @returns object pairs
*
*/
function keys_indices($leftmost) {
$keys = $this->get_keys();
if (($this->flag & BPT_FLAG_INTERIOR) == BPT_FLAG_INTERIOR) {
// interior nodes start with
// the pointer to the "less than key[0]" subtree:
// we need pairs (key, indices) so we add the leftmost key
// on top
array_unshift($keys, $leftmost);
}
$indices = array_slice($this->indices, 0, count($keys));
return $this->_pairs($keys, $indices);
}
/**
* returns child, searching for $key in an interior node
*
* @param string $key
* target $key
* @returns object BPlusTree_Node
*
*/
function &getnode($key) {
if (($this->flag & BPT_FLAG_INTERIOR) != BPT_FLAG_INTERIOR) {
trigger_error("cannot getnode from leaf node", E_USER_ERROR);
}
if (is_null($key))
$index = 0;
else
$index = array_search($key, $this->keys, true) + 1;
$place = $this->indices [$index];
if ($place < 0) {
debug_print_backtrace();
trigger_error("Invalid position! ($place, $key)", E_USER_ERROR);
}
// fifo
$fifo = & $this->fifo;
if ($fifo) {
$ff = & $fifo->fifo;
$fd = & $fifo->fifo_dict;
if (isset($fd [$place])) {
$node = & $fd [$place];
// unset($ff[$place]);
$idx = array_search($node, $ff, true);
array_splice($ff, $idx, 1);
array_unshift($ff, $node);
return $node;
}
}
$node = & $this->getclone($place);
$node = & $node->materialize();
return $node;
}
/**
* *** leaf mode operations ****
*/
/**
* if leaf returns the next leaf on the right
*/
function &next() {
if (($this->flag & BPT_LEAF_FLAG) != BPT_FLAG_LEAF) {
trigger_error("cannot get next for non-leaf", E_USER_ERROR);
}
$place = $this->indices [$this->size];
if ($place == BPT_NULLSEEK)
return null;
else {
$node = & $this->getclone($place);
$node = & $node->materialize();
return $node;
}
}
/*
* function &prev() {
* if (($this->flag & BPT_LEAF_FLAG) != BPT_FLAG_LEAF) {
* trigger_error("cannot get next for non-leaf", E_USER_ERROR);
* }
* $place = $this->prev;
* if ($place == BPT_NULLSEEK)
* return null;
* else {
* $node =& $this->getclone($place);
* $node =& $node->materialize();
* return $node;
* }
*
* }
*/
/**
* put ($key, $val) in a leaf
*
* @param string $key
* target string
* @param int $val
* value for $key
*/
function putvalue($key, $val) {
if (!is_string($key))
trigger_error("$key must be string", E_USER_ERROR);
if (($this->flag & BPT_FLAG_LEAF) != BPT_FLAG_LEAF) {
// print_r($this);
trigger_error("cannot get next for non-leaf ($key)", E_USER_ERROR);
}
$validkeys = $this->validkeys;
$indices = & $this->indices;
$keys = & $this->keys;
if ($validkeys <= 0) { // empty
// first entry
$indices [0] = $val;
$keys [0] = $key;
$this->validkeys = 1;
} else {
$place = null;
if (in_array($key, $keys, true)) {
$place = array_search($key, $keys, true);
if ($place >= $validkeys) {
$place = null;
}
}
if (!is_null($place)) {
$keys [$place] = $key;
$indices [$place] = $val;
} else {
if ($validkeys >= $this->size) {
// trigger_error("no room", E_USER_WARNING);
return NOROOMERROR;
}
$place = BPT_bisect($keys, $key, 0, $validkeys);
$last = $validkeys + 1;
// del keys[validkeys]
// del indices[validkeys]
// array_splice($keys, $validkeys, 1);
unset($keys [$validkeys]);
$keys = array_values($keys);
// array_splice($indices, $validkeys, 1);
unset($indices [$validkeys]);
$indices = array_values($indices);
array_splice($keys, $place, 0, $key);
array_splice($indices, $place, 0, $val);
// echo implode(', ', $keys), " ::: $place \n";
$this->validkeys = $last;
}
}
}
/**
* for each $key, $index in $keys_indices
* put the correspoding values (assumes this is a leaf)
*
* @param object $keys_indices
* object of type {@link pairs}
*/
function put_all_values($keys_indices) {
$this->clear();
$indices = & $this->indices;
$keys = & $this->keys;
$length = $this->validkeys = $keys_indices->count; // count($keys_indices);
if ($length > $this->size)
trigger_error("bad length $length", E_USER_ERROR);
for($i = 0; $i < $length; $i++) {
// list($keys[$i], $indices[$i]) = $keys_indices[$i];
$keys [$i] = $keys_indices->a [$i];
$indices [$i] = $keys_indices->b [$i];
}
}
/**
* for each $key, $index in $keys_indices
* put the correspoding seek positions (assumes this is an interior node)
*
* @param int $first_position
* leftmost pointer (to less-than child)
* @param object $keys_indices
* object of type {@link pairs}
*
*/
function put_all_positions($first_position, $keys_positions) {
$this->clear();
$indices = & $this->indices;
$keys = & $this->keys;
$length = $this->validkeys = $keys_positions->count; // count($keys_positions);
if ($length > $this->size) {
trigger_error("bad length $length", E_USER_ERROR);
}
$indices [0] = $first_position;
for($i = 0; $i < $length; $i++) {
// list($keys[$i], $indices[$i+1]) = $keys_positions[$i];
$keys [$i] = $keys_positions->a [$i];
$indices [$i + 1] = $keys_positions->b [$i];
}
}
/**
* assuming this is a leaf, returns value for $key
*
* @param $key string
* target key
* @returns int|false corresponding integer or false if key is missing
*
*/
function getvalue(&$key, $loose = false) {
// d(implode(",",$this->keys));
// $place = array_search($key, $this->keys);
$place = BPT_bisect($this->keys, $key, 0, $this->validkeys);
if ($this->keys [$place - 1] == $key) {
return $this->indices [$place - 1];
} else {
if ($loose) {
if ($place > 1)
$place--;
$key = $this->keys [$place];
return $this->indices [$place];
}
trigger_error("key '$key' not found", E_USER_WARNING);
return false;
}
}
/**
* if leaf, creates a neighbor for this node: a new leaf
* linked to this
*
* @param int $position
* seek position for the new neighbor<6F>
* @returns object BPlusTree_Node
*
*/
function &newneighbour($position) {
if (($this->flag & BPT_FLAG_LEAF) != BPT_FLAG_LEAF)
trigger_error('cannot make leaf neighbour for non-leaf');
// create clone
$neighbour = & $this->getclone($position);
$size = $this->size;
$indices = & $this->indices;
// linking siblings
$neighbour->indices [$size] = $indices [$size];
$indices [$size] = $position;
return $neighbour;
}
/**
* if leaf, returns the leaf next to this
*
* @return object BPlusTree_Node
*/
function &nextneighbour() {
if (($this->flag & BPT_FLAG_LEAF) != BPT_FLAG_LEAF)
trigger_error('cannot get leaf neighbour for non-leaf');
$size = $this->size;
$position = $this->indices [$size];
if ($position == BPT_NULLSEEK) {
$neighbour = null;
} else {
$neighbour = $this->getclone($position);
$neighbour = $neighbour->materialize();
}
return $neighbour;
}
/*
* function &prevneighbour() {
* if (($this->flag & BPT_FLAG_LEAF) != BPT_FLAG_LEAF)
* trigger_error('cannot get leaf neighbour for non-leaf');
*
* #$size = $this->size;
* $position = $this->prev; # $this->indices[$size];
* if ($position == BPT_NULLSEEK) {
* return null;
* } else {
* $neighbour = $this->getclone($position);
* $neighbour = $neighbour->materialize();
* return $neighbour;
* }
*
* }
*/
/**
* if leaf, deletes neighbor on the right, and re-link
* with the following
*
* @param object $next
* target for deletion
* @param free $free
* seek position of last free node in free list
*
* @returns int new free position
*/
function delnext(&$next, $free) {
d("delnext called:");
// print_r($this);
$size = $this->size;
if ($this->indices [$size] != $next->position) {
trigger_error("invalid next pointer " . "{$this->indices[$size]}!={$next->position})", E_USER_ERROR);
}
$this->indices [$size] = $next->indices [$size];
return $next->free($free);
}
/**
* if leaf, deletes corresponding value
*
* @param string $key
* target key
*/
function delvalue($key) {
$keys = & $this->keys;
$indices = & $this->indices;
if (!in_array($key, $keys, true)) {
d($keys);
trigger_error("missing key, can't delete", E_USER_ERROR);
}
$place = array_search($key, $keys, true);
$validkeys = $this->validkeys;
$prev = $validkeys - 1;
// delete
array_splice($keys, $place, 1);
array_splice($indices, $place, 1);
// unset($keys[$place]);
// $keys[]='';
// $keys = array_values($keys);
// unset($indices[$place]);
// $indices[] = BPT_NULL;
// $indices = array_values($indices);
// insert NULLs/empties
array_splice($keys, $prev, 0, '');
array_splice($indices, $prev, 0, BPT_NULL);
$this->validkeys = $prev; // validkeys-1
}
/*
* add self to free list, retunr position as new free position
*
* @param int $freenodeposition current last free node
*
*/
function free($freenodeposition) {
$this->flag = BPT_FLAG_FREE;
$this->indices [0] = $freenodeposition;
$this->store();
return $this->position;
}
/*
* assuming self is head of free list,
* pop self off freelist, return next free position;
* does not update file
*
* @param integer $flag flag for new node
* @return object new node
*
* function unfree($flag) {
* $next = $this->indices[0];
* $this->flag = $flag;
* $this->validkeys = 0;
* $this->indices[0] = BPT_NULLSEEK;
* $this->clear();
* return $next;
* }
*/
/**
* get free node of same shape as self from $this->file;
* make one if none exist;
* assume $freeposition is seek position of next free node
*
* @param int $freeposition
* seek position of next freenode
* @param callback $freenode_callback
* is specified it is a func to call
* with a new free list head, if needed
*
* @returns array(&$node, $newfreeposition)
*
*
*
*
*/
function getfreenode($freeposition, $freenode_callback = null) {
d("GETTING FREE AT $freeposition");
if ($freeposition == BPT_NULLSEEK) {
$file = $this->infile;
fseek($file, 0, SEEK_END);
$position = ftell($file);
d("ALLOCATING SPACE...");
$thenode = & $this->getclone($position);
$thenode->store();
return array(
&$thenode,
BPT_NULLSEEK
);
} else {
$position = $freeposition;
$thenode = $this->getclone($position);
// get old node
$thenode = $thenode->materialize();
// ptr to next
$next = $thenode->indices [0];
if (!is_null($freenode_callback)) {
call_user_func($freenode_callback, $next);
}
$thenode->BplusTree_Node($this->flag, $this->size, $this->keylen, $position, $this->infile);
$thenode->store(); // save reinit'ed node
return array(
&$thenode,
$next
);
}
}
/**
*
* write this to file
*
* @param bool $force
* forces write back if fifo is enabled, defaults to false
*
*/
function store($force = false) {
// {{{
$position = $this->position;
if (is_null($position))
trigger_error("position cannot be null", E_USER_ERROR);
$fifo = & $this->fifo;
if (!$force && $fifo) {
$fd = & $fifo->fifo_dict;
if (isset($fd [$this->position]) && $fd [$position] === $this) {
$this->dirty = true;
return; // defer processing
}
}
$f = $this->infile;
fseek($f, $position);
$data = $this->linearize();
fwrite($f, $data);
$last = ftell($f);
$this->dirty = false;
if (!$force && $this->fifo) {
$this->add_to_fifo();
}
return $last;
}
// }}}
/**
* load node from file
*
* @returns object BPlusTree_Node
*
*/
function &materialize() {
$position = $this->position;
if ($this->fifo) {
$fifo = & $this->fifo;
$dict = & $fifo->fifo_dict;
$ff = & $fifo->fifo;
if (isset($dict [$position])) {
$node = & $dict [$position];
if ($node !== $ff [0]) {
$nidx = array_search($node, $ff, true);
unset($ff [$nidx]);
array_unshift($ff, $node);
}
return $node;
}
}
$f = $this->infile;
fseek($f, $position);
$data = fread($f, $this->storage);
$this->delinearize($data);
if ($this->fifo) {
$this->add_to_fifo();
}
return $this;
}
/**
*
* @returns string binary string encoding this node
*/
function linearize() {
$params = array(
'C2L' . ($this->size + 1),
$this->flag,
$this->validkeys
);
foreach ($this->indices as $i)
$params [] = $i;
$s = call_user_func_array('pack', $params);
$x = '';
for($i = 0; $i < $this->validkeys; $i++) {
$k = $this->keys [$i];
if (strlen($k) > $this->keylen)
trigger_error("Invalid keylen for '$k'", E_USER_ERROR);
$x .= str_pad($k, $this->keylen, chr(0));
}
$x = str_pad($x, $this->size * $this->keylen, chr(0));
$s .= $x;
$l = strlen($s);
if (strlen($s) != $this->storage) {
trigger_error("bad storage $l != {$this->storage}", E_USER_ERROR);
}
return $s;
}
/**
* get properties of this node from the string $s encoded via {@link BPlusTree_Node::linearize}
*
* @param string $s
* binary string
*
*/
function delinearize($s) {
// {{{
if (strlen($s) != $this->storage)
trigger_error("bad storage", E_USER_ERROR);
$x = 'Cflag/Cvalidkeys/';
$n = $this->size + 1;
for($i = 0; $i < $n; $i++) {
$x .= "lindices{$i}/";
}
$arr = unpack($x, $s);
$this->flag = $arr ['flag'];
$this->validkeys = $arr ['validkeys'];
for($i = 0; $i < $n; $i++) {
$this->indices [$i] = $arr ["indices{$i}"];
}
for($i = 0, $j = ($n * 4 + 2); $i < $this->validkeys; $i++, $j += $this->keylen) {
$this->keys [$i] = rtrim(substr($s, $j, $this->keylen));
}
}
// }}}
// foo dump
/**
*
* prints a dump of the tree on scree
*
* @param string $indent
* custom indentation
*
*/
function dump($indent = '') {
// {{{
$flag = $this->flag;
if ($flag == BPT_FLAG_FREE) {
echo "free->", $this->position, "\n";
$nextp = $this->indices [0];
if ($nextp != BPT_NULLSEEK) {
$next = & $this->getclone($nextp);
$next = & $next->materialize();
$next->dump();
} else {
echo "!last\n";
}
return;
}
$nextindent = $indent . " ";
echo $indent;
switch ($flag) {
case BPT_FLAG_ROOT:
echo "root";
break;
case BPT_FLAG_INTERIOR:
echo "interior";
break;
case BPT_FLAG_LEAF:
echo "leaf";
break;
case BPT_FLAG_LEAFANDROOT:
echo "root&leaf";
break;
default:
echo "invalid flag??? ", $flag;
}
echo "($flag) ";
echo " ", $this->position, " valid=", $this->validkeys, "\n";
echo $indent, "keys {", implode(', ', $this->keys), "}\n";
echo $indent, "seeks {", implode(", ", $this->indices), "}\n";
if (($flag & BPT_FLAG_INTERIOR) == BPT_FLAG_INTERIOR) {
reset($this->indices);
while ($i = array_shift($this->indices)) {
if ($i != BPT_NULLSEEK) {
// interior
$n = & $this->getclone($i);
$n = & $n->materialize();
$n->dump($nextindent);
} else {
// leaf
continue;
}
}
}
echo $indent, "*****\n";
}
// }}}*/
/**
* adds this node to fifo
*/
function add_to_fifo() {
$fifo = & $this->fifo;
$ff = & $fifo->fifo;
$dict = & $fifo->fifo_dict;
$position = $this->position;
if (isset($dict [$position])) {
$old = & $dict [$position];
unset($dict [$position]);
// ff.remove(old)
array_splice($ff, array_search($old, $ff, true), 1);
}
$dict [$this->position] = & $this;
array_splice($ff, 0, 0, array(
&$this
));
if (count($ff) > $this->fifo->fifosize) {
$lastidx = count($ff) - 1;
$last = $ff [$lastidx];
unset($ff [$lastidx]);
unset($dict [$last->position]);
if ($last->dirty) {
$last->store(true);
}
}
$is_o = true;
// Arvid: The loop doesn't do anything - but contains a deprecated each(). Commented out.
// while ((list (, $v) = each($ff)) && $is_o = is_object($v))
// ;
if (!$is_o) {
trigger_error('ERR', E_USER_ERROR);
}
}
/**
*
* @param int $size
* defaults to 33
*
*/
function enable_fifo($size = 33) {
if ($size < 5 || $size > 1000000) {
trigger_error("size not valid $size");
}
$this->fifo = new BPlusTree_Node_Fifo($size);
}
/**
* disables fifo (first flushes to disk)
*/
function disable_fifo() {
if ($this->fifo) {
$this->fifo->flush_fifo();
$this->fifo = null;
}
}
}
/**
* main class BPlusTree
* creates a B+Tree with string keys and integer values
*
* public methods are only {@link BPlusTree::getitem}
* {@link BPlusTree::setitem} {@link BPlusTree::delitem}
* {@link BPlusTree::walker}
*/
class BPlusTree {
/**
*
* @var int number of values
*/
var $length = null;
/**
*
* @var bool used for deferred writes (if fifo is enabled
*/
var $dirty = false;
// var $headerformat = "%10d %10d %10d %10d %10d\n";
/**
*
* @var int seek position of root in file
*/
var $root_seek = BPT_NULLSEEK;
/**
*
* @var int seek position of the start of the freelist
*
*/
var $free = BPT_NULLSEEK;
/**
*
* @var object BPlusTree_Node root node
*/
var $root = null;
/* */
/**
*
* @var int length of the file header in bytes
*/
var $headersize;
/**
*
* @var bool true if fifo is enabled
*/
var $fifo_enabled = false;
var $file = null;
var $nodesize = null;
var $keylen = null;
var $position = null;
/**
* constructor
*
* @param resource $infile
* resource of open file
* @param int $position
* offset from the beginning of the file (usually 0)
* @param int $nodesize
* size of the node
* @param int $keylen
* maximum lenght of a key in bytes (unicode extended chars evaluate to two chars)
*/
function __construct($infile, $pos = null, $nodesize = null, $keylen = 10) {
if (!is_null($keylen) && $keylen <= 2) {
trigger_error("$keylen must be greater than 2", E_USER_ERROR);
}
$this->root_seek = BPT_NULLSEEK;
$this->free = BPT_NULLSEEK;
$this->root = null;
$this->file = $infile;
// if ($nodesize<6) trigger_error("nodesize must be >= 6", E_USER_ERROR);
$this->nodesize = $nodesize;
$this->keylen = $keylen;
if (is_null($pos)) {
$pos = 0;
}
$this->position = $pos;
$this->headersize = 4 * 4 + 6; /* 4 4-byte longs, 1 char, 5-byte magic string */
}
/**
* returns an iterator for the tree
*
* @param string $keylower
* key lower limit of the iterator
* @param bool|int $includelower
* if true $keylower is included in the iterator;
* if $includelower > 1 then 'loose' search is assumed:
* the tree will be walked starting from
* the key $k in the tree such as $k <= $keylower
* and such as there are NO other keys $k'
* such as $k < $k' <= $keylower
* @param string $keyupper
* key upper bound of the iterator
* @param bool $includeupper
* if true $keyupper is included in the iterator
*/
function &walker(&$keylower, $includelower = null, $keyupper = null, $includeupper = null) {
$o = new BPlusWalker($this, $keylower, $includelower, $keyupper, $includeupper);
return $o;
}
/**
*
* @returns array array of properties of this object
*/
function init_params() {
return array(
$this->file,
$this->position,
$this->nodesize,
$this->keylen
);
}
/**
*
* @returns object BPlusTree_Node of the root
*/
function get_root() {
return $this->root;
}
/**
* updates the head of the freelist and writes back to file
*
* @param int $position
* seek position of the head of the freelist
*/
function update_freelist($pos) {
if ($this->free != $pos) {
$this->free = $pos;
$this->reset_header();
}
}
/**
* action to perform to setup a bplustree, header is reset, length truncated
* and a new root node is created
*/
function startup() {
if (is_null($this->nodesize) || is_null($this->keylen)) {
trigger_error("cannot initialize without nodesize, keylen specified\n");
}
$this->length = 0;
$this->root_seek = 22; // pack('a5LCL3',...)
$this->reset_header();
$file = $this->file;
fseek($file, 0, SEEK_END);
$this->root = new BplusTree_Node(BPT_FLAG_LEAFANDROOT, $this->nodesize, $this->keylen, $this->root_seek, $file);
$this->root->store();
}
/**
* reload the bplustree from file and setup for use
*/
function open() {
$file = $this->file;
if ($this->get_parameters() === false)
return false;
$this->root = new BplusTree_Node(BPT_FLAG_LEAFANDROOT, $this->nodesize, $this->keylen, $this->root_seek, $file);
$this->root = & $this->root->materialize();
return true;
}
/**
* enable fifo
*
* @param int $size
* defaults to 33
*/
function enable_fifo($size = 33) {
$this->fifo_enabled = true;
$this->root->enable_fifo($size);
}
/**
* disables fifo (writes back header to file if needed)
*/
function disable_fifo() {
$this->fifo_enabled = false;
if ($this->dirty) {
$this->reset_header();
$this->dirty = false;
}
$this->root->disable_fifo();
}
/**
*
* @returns string header string
*/
function _makeheader() {
return pack('a5LCL3', BPT_VERSION_MAGIC, $this->length, $this->keylen, $this->nodesize, $this->root_seek, $this->free);
}
/**
* writes back header to file (if fifo is enabled write is deferred until
* fifo is again disabled
*/
function reset_header() {
if ($this->fifo_enabled) {
$this->dirty = true;
d("[FIFO]: deferring header reset");
return;
}
$file = $this->file;
fseek($file, $this->position);
$s = $this->_makeheader();
fwrite($file, $s);
}
/**
* reads back properties/parameters of this tree from file;
* raises an error if version magic is wrong
*
* @returns bool false on failure, true on success
*/
function get_parameters() {
$file = $this->file;
fseek($file, $this->position);
$data = fread($file, $this->headersize);
$hdr = unpack('a5magic/Llength/Ckeylen/Lnodesize/Lroot_seek/Lfree', $data);
if ($hdr ['magic'] != BPT_VERSION_MAGIC) {
trigger_error("Version magic mismatch ({$hdr['magic']}!=" . BPT_VERSION_MAGIC . ')', E_USER_WARNING);
return false;
}
$this->length = $hdr ['length'];
$this->keylen = $hdr ['keylen'];
$this->nodesize = $hdr ['nodesize'];
$this->root_seek = $hdr ['root_seek'];
$this->free = $hdr ['free'];
return true;
}
/**
*
* @returns length of the tree (number of values)
*/
function length() {
if (is_null($this->length)) {
if (false === $this->get_parameters())
return false;
}
return $this->length;
}
/**
*
* @param
* string &$key key to find.
* @param bool $loose
* if true searches the tree for the "nearest" key to $key;
*
* @returns int associated value
*
*/
function getitem(&$key, $loose = false) {
if (is_null($this->root))
trigger_error("not open!", E_USER_ERROR);
return $this->find($key, $this->root, $loose);
}
/**
* traverses tree starting from $node, searching for $key
*
* @param string $key
* target key
* @param
* object BPlusTree_Node starting node
*
* @returns int|bool value at the leaf node containing key or false if key is missing
*
*/
function find(&$key, &$node, $loose = false) {
while (($node->flag & BPT_FLAG_INTERIOR) == BPT_FLAG_INTERIOR) {
$thesekeys = $node->keys;
$validkeys = $node->validkeys;
// d(array_slice($thesekeys, 0, $validkeys));
$place = BPT_bisect($thesekeys, $key, 0, $validkeys);
if ($place >= $validkeys || BPT_keycmp($thesekeys [$place], $key) > 0) {
// $thesekeys[$place]>$key) {
if ($place == 0)
$nodekey = null;
else
$nodekey = $thesekeys [$place - 1];
} else {
$nodekey = $key;
}
$node = & $node->getnode($nodekey);
}
return $node->getvalue($key, $loose);
}
/**
*
* @param $key target
* key
* @returns bool false if key does not exists, true otherwise
*/
function has_key(&$key, $loose = false) {
if (@$this->getitem($key, $loose) !== false) {
return true;
} else {
return false;
}
}
/**
* sets an item in the tree with key $key and value $val
*
* @param string $key
* @param integer $val
* (internally stored as a 4byte long: keep it in mind!)
*
*
*/
function setitem($key, $val) {
if (!is_numeric($val))
trigger_error("Second parameter must be numeric", E_USER_ERROR);
$curr_length = $this->length;
$root = & $this->root;
if (is_null($root))
trigger_error("not open", E_USER_ERROR);
if (!is_string($key))
trigger_error("$key must be string", E_USER_ERROR);
if (strlen($key) > $this->keylen)
trigger_error("$key is too long: MAX is {$this->keylen}", E_USER_ERROR);
d("STARTING FROM ROOT...");
$test1 = $this->set($key, $val, $this->root);
if (!is_null($test1)) {
d("SPLITTING ROOT");
// getting new rightmost interior node
list ($leftmost, $node) = $test1;
// print_r($test1);
d("LEFTMOST [$leftmost]");
// getting new non-leaf root
list ($newroot, $this->free) = $root->getfreenode($this->free);
$newroot->flag = BPT_FLAG_ROOT;
/*
* if ($root->flag == BPT_FLAG_LEAFANDROOT) {
* $root->flag = BPT_FLAG_LEAF;
* } else {
* $root->flag = BPT_FLAG_INTERIOR;
* }
*/
// zero-ing root flag (makes an interior or leaf node
// respectively from a normal root or a leaf-root)
$root->flag &= ~BPT_FLAG_ROOT_BIT;
$newroot->clear();
$newroot->putfirstindex($root->position);
$newroot->putnode($leftmost, $node);
$this->root = & $newroot;
$this->root_seek = $newroot->position;
$newroot->store();
$root->store();
$this->reset_header();
d("root split.");
} else {
if ($this->length != $curr_length) {
// length changed: updating header
$this->reset_header();
}
}
}
/**
* traverses subtree starting at $node, searching a place for $key
* and associates $val; split nodes if needed
*
* This function is not meant to be called outside the class, it is a
* support method for {@link BPlusTree::setitem}
*
* @param string $key
* @param int $val
* value associated to $key
* @param
* object BPlusTree_Node starting node
*
* @returns array|null a pair (leftmost, newnode) where "leftmost" is
* the leftmost key in newnode, and newnode is the split node;
* returns null if no split took place
*/
function set($key, $val, &$node) {
// {{{
$keys = & $node->keys;
$validkeys = $node->validkeys;
if (($node->flag & BPT_FLAG_INTERIOR) == BPT_FLAG_INTERIOR) {
d("NON LEAF: FIND DESCENDANT");
// non-leaf: find descendant to insert
d($keys);
$place = BPT_bisect($keys, $key, 0, $validkeys);
if ($place >= $validkeys || BPT_keycmp($keys [$place], $key) >= 0) {
// $keys[$place]>=$key) {
// insert at previous node
$index = $place;
} else {
$index = $place + 1;
}
if ($index == 0)
$nodekey = null;
else
$nodekey = $keys [$place - 1];
$nextnode = $node->getnode($nodekey);
$test = $this->set($key, $val, $nextnode);
// split ?
if (!is_null($test)) {
list ($leftmost, $insertnode) = $test;
// TRY
$TRY = $node->putnode($leftmost, $insertnode);
if ($TRY == NOROOMERROR) {
d("$key::SPLIT!");
// EXCEPT
$insertindex = $insertnode->position;
list ($newnode, $this->free) = $node->getfreenode($this->free, array(
&$this,
'update_freelist'
));
$newnode->flag = BPT_FLAG_INTERIOR;
$ki = $node->keys_indices("dummy");
// list($dummy, $firstindex) = $ki[0]; #each($ki);
$firstindex = $ki->b [0];
// $ki = array_slice($ki, 1);
$ki->remove(0);
// print_r($ki);
// insert new pair
// BPT_insort($ki, array($leftmost, $insertindex));
$ki->insort($leftmost, $insertindex);
$newleftmost = $this->divide_entries($firstindex, $node, $newnode, $ki);
$node->store();
$newnode->store();
return array(
$newleftmost,
&$newnode
);
} else {
d("$key::NO SPLIT");
d($node->keys);
$node->store();
return null; // no split
}
}
} else {
// leaf
d("FOUND LEAF:");
d($keys);
if (!in_array($key, $keys, true) || array_search($key, $keys, true) >= $validkeys) {
$newlength = $this->length + 1;
} else {
$newlength = $this->length;
}
d("[LEAF] TRYING TO PUT $key=>$val");
if ($node->putvalue($key, $val) == NOROOMERROR) {
d("GOT NOROOMERROR");
$ki = $node->keys_indices("dummy");
// BPT_insort($ki, array($key, $val));
$ki->insort($key, $val);
list ($newnode, $this->free) = $node->getfreenode($this->free, array(
&$this,
'update_freelist'
));
d("CREATE NEW NEIGHBOUR");
$newnode = & $node->newneighbour($newnode->position);
$newnode->flag = BPT_FLAG_LEAF;
$newleftmost = $this->divide_entries(0, $node, $newnode, $ki);
$node->store();
// print_r($node);
// print_r($newnode);
$newnode->store();
$this->length = $newlength;
return array(
$newleftmost,
&$newnode
);
} else {
d("STORING NODE [{$node->position}]");
d($node->keys);
$node->store();
$this->length = $newlength;
return null;
}
}
}
// }}}
/**
*
* removes key from tree at node $node;
* triggers an error if $key does not exists
*
* not meant to be called outside the class, it is a support method
* for {@link BPlusTree::delitem}
*
* @param $key target
* key
* @param $node node
* from which start
*
* @returns array a pair(&$leftmost, $size): if leftmost changes it is a string with the new leftmost
* of $node otherwise returns array(null, $size)- caller will restructure node, if needed
* size is the new size of $node
*
*/
function remove($key, &$node, $NESTING = 0) {
$newnodekey = null;
d("NESTING LEVEL $NESTING");
d("($NESTING) current size = {$this->nodesize}");
// first of all we check if it is non-leaf
if (($node->flag & BPT_FLAG_INTERIOR) == BPT_FLAG_INTERIOR) {
// non-leaf
$keys = & $node->keys;
$validkeys = $node->validkeys;
$place = BPT_bisect($keys, $key, 0, $validkeys);
if ($place >= $validkeys || BPT_keycmp($keys [$place], $key) >= 0) {
// $keys[$place]>=$key) {
// delete occurs before $place
// (remember that indices are [i_0,i_1,...,i_n]
// where i_0 points to the node where all keys are < K_search
// and i_1 points to the node where keys are k_1<=K_search<k_2)
$index = $place;
} else {
// delete occurs in $place (k_i <= K_search < k_(i+1) )
$index = $place + 1;
}
if ($index == 0) {
$nodekey = null;
} else {
$nodekey = $keys [$place - 1];
}
// get child node
$nextnode = & $node->getnode($nodekey);
// RECURSION! remove from nextnode;
// returns new leftmost if changed, otherwise null,
// and new size of the child node
list ($lm, $size) = $this->remove($key, $nextnode, $NESTING + 1);
// check now for size of nodesize: is it too small?
// (less than half)
$nodesize = $this->nodesize;
$half = (int) ($nodesize / 2);
// if($size==0) trigger_error("SIZE==0", E_USER_WARNING);
if ($size < $half) {
d("($NESTING) node too small ($size<$nodesize/2), redistribute children");
// node is too small, need to redistribute
// children
if (is_null($nodekey) && $validkeys == 0) {
// print_r($node);
trigger_error("invalid node, only one child", E_USER_ERROR);
}
if ($place >= $validkeys) {
// final node in row, get previous
$rightnode = & $nextnode;
$rightkey = $nodekey;
if ($validkeys <= 1) {
$leftkey = null;
} else {
$leftkey = $keys [$place - 2];
}
$leftnode = & $node->getnode($leftkey);
} else {
// non-final, get next
$leftnode = & $nextnode;
$leftkey = $nodekey;
if ($index == 0) {
$rightkey = $keys [0];
} else {
$rightkey = $keys [$place];
}
$rightnode = $node->getnode($rightkey);
}
// get all keys and indices
$rightki = $rightnode->keys_indices($rightkey);
$leftki = $leftnode->keys_indices($leftkey);
// $ki = array_merge($leftki, $rightki);
$leftki->append($rightki);
$ki = & $leftki;
// array_splice ($leftki, count($leftki), 0, $rightki);
$lki = $ki->count; // count($ki);
// merging?
if (($lki > $nodesize) || (($leftnode->flag & BPT_FLAG_LEAF) != BPT_FLAG_LEAF && ($lki >= $nodesize))) {
// redistribute
// list($newleftkey, $firstindex) = $ki[0];
$newleftkey = $ki->a [0];
$firstindex = $ki->b [0];
if (is_null($leftkey)) {
$newleftkey = $lm;
}
if (($leftnode->flag & BPT_FLAG_LEAF) != BPT_FLAG_LEAF) {
// kill first pair
// $ki = array_slice($ki, 1);
$ki->remove(0);
}
$newrightkey = $this->divide_entries($firstindex, $leftnode, $rightnode, $ki);
// delete, reinsert right
$node->delnode($rightkey);
$node->putnode($newrightkey, $rightnode);
// same for left if first changed
if (!is_null($leftkey) && $leftkey != $newleftkey) {
$node->delnode($leftkey);
$node->putnode($newleftkey, $leftnode);
}
$node->store();
$leftnode->store();
$rightnode->store();
} else {
d("($NESTING) node too small, need merge left<-right");
// merge into left, free right
d($leftnode->keys);
d($leftnode->indices);
d($rightnode->indices);
// list($newleftkey, $firstindex) = $ki[0];
$newleftkey = $ki->a [0];
$firstindex = $ki->b [0];
if (($leftnode->flag & BPT_FLAG_LEAF) != BPT_FLAG_LEAF) {
$leftnode->put_all_positions($firstindex, $ki->slice(1));
// array_slice($ki, 1)
} else {
$leftnode->put_all_values($ki);
}
if ($rightnode->flag == BPT_FLAG_LEAF) {
$this->free = $leftnode->delnext($rightnode, $this->free);
} else {
$this->free = $rightnode->free($this->free);
}
if (!is_null($leftkey) && $newleftkey != $leftkey) {
d("$newleftkey!=$leftkey");
$node->delnode($leftkey);
$node->putnode($newleftkey, $leftnode);
}
$node->delnode($rightkey);
$node->store();
$leftnode->store();
d('redist:');
d($node->keys);
d($leftnode->keys);
$this->reset_header();
}
if (is_null($leftkey))
$newnodekey = $lm;
} else {
// no restructuring,
// update leftmost if needed
if (is_null($nodekey)) {
// we changed leftmost child,
// we return a new leftmost key to update parent
// ($lm is null if no update is needed)
$newnodekey = $lm;
} elseif (!is_null($lm)) {
// child's leftmost has changed:
// delete old reference
$node->delnode($nodekey);
// change reference with new key
$node->putnode($lm, $nextnode);
}
} // end restructuring if
} else {
// leaf, base case: just delete.
if ($node->validkeys < 1) {
// only for empty root
trigger_error("No such key $key", E_USER_ERROR);
}
$first = $node->keys [0];
d($node->keys);
$node->delvalue($key);
d($node->keys);
$rest = $node->keys [0];
if ($first != $rest) {
$newnodekey = $rest;
}
$node->store();
$this->length--;
d("NEWNODEKEY: $newnodekey");
d("VALIDKEYS: {$node->validkeys}");
}
d($node->keys);
return array(
$newnodekey,
$node->validkeys
);
}
/**
*
* equally divides $entries ("array" of pairs (key,index) -
* implemented with a pair object) between two nodes $node1 and $node2
*
* @param int $firstindex
* if interior node, leftmost index (pointer to less-than sub-tree) for $node1
* @param object $node1
* BPlusTree_Node first destination node
* @param object $node2
* BplusTree_Node second destination node
* @param object $entries
* {@link pairs} object
*
* @returns string leftmost key of $node1
*/
function divide_entries($firstindex, &$node1, &$node2, &$entries) {
// {{{
// $middle = (int)(count($entries)/2);
$middle = ceil($entries->count / 2);
d("divide entries at $middle");
// $left = array_slice($entries, 0, $middle);
// $right = array_slice($entries, $middle);
$left = $entries->slice(0, $middle);
$right = $entries->slice($middle);
if (($node1->flag & BPT_FLAG_INTERIOR) == BPT_FLAG_INTERIOR) {
d("DIVIDING INTERIOR\n");
// list($leftmost, $midindex) = $right[0];
$leftmost = $right->a [0];
$midindex = $right->b [0];
$node1->put_all_positions($firstindex, $left);
// $node2->put_all_positions($midindex, array_slice($right, 1));
$node2->put_all_positions($midindex, $right->slice(1));
d($node1->keys);
d($node2->keys);
if (in_array(array_fill(0, $node1->size, ''), array(
$node1->keys,
$node2->keys
), true)) {
trigger_error("splitting an empty node!", E_USER_ERROR);
}
return $leftmost;
} else {
d("DIVIDING non-INTERIOR");
$node1->put_all_values($left);
$node2->put_all_values($right);
d($node1->keys);
d($node2->keys);
// returns right leftmost
// return $right[0][0];
return $right->a [0];
}
}
// }}}
/**
* delete item $key
*
* @param string $key
* the key to delete
*
*/
function delitem($key) {
$root = $this->root;
$currentlength = $this->length;
$this->remove($key, $root, $NESTING = 0);
if ($root->flag == BPT_FLAG_ROOT) {
$validkeys = $root->validkeys;
if ($validkeys < 1) {
if ($validkeys < 0) {
trigger_error("invalid empty non-leaf root", E_USER_ERROR);
}
$this->root = & $root->getnode(null);
$newroot = & $this->root;
$this->root_seek = $newroot->position;
$this->free = $root->free($this->free);
$this->reset_header();
/*
* if ($newroot->flag == BPT_FLAG_LEAF) {
* $newroot->flag = BPT_FLAG_LEAFANDROOT;
* } else {
* $newroot->flag = BPT_FLAG_ROOT;
* }
*/
$newroot->flag |= BPT_FLAG_ROOT_BIT;
$newroot->store();
} elseif ($this->length != $currentlength) {
$this->reset_header();
}
} elseif ($root->flag != BPT_FLAG_LEAFANDROOT) {
trigger_error("invalid flag for root", E_USER_ERROR);
} elseif ($this->length != $currentlength) {
$this->reset_header();
}
}
function _dump() {
$free = & $this->root->getclone($this->free);
for($i = $this->headersize; !feof($this->file); fseek($this->file, $i), $i += $free->storage) {
$s = fread($this->file, $free->storage);
$free->delinearize($s);
// print_r($free);
}
}
/**
* dumps contents of the tree to screen
*/
function dump() {
$this->root->dump();
if ($this->free != BPT_NULLSEEK) {
$free = & $this->root->getclone($this->free);
$free = & $free->materialize();
$free->dump();
}
}
}
class BPlusWalker {
var $tree;
var $keylower;
var $includelower;
var $keyupper;
var $includeupper;
var $startnode;
var $node;
var $node_index;
var $valid;
function __construct(&$tree, &$keylower, $includelower = null, $keyupper = null, $includeupper = null) {
$this->tree = & $tree;
$this->keylower = $keylower;
$this->includelower = $includelower;
$this->keyupper = $keyupper;
$this->includeupper = $includeupper;
if ($this->tree->get_root() == null) {
$this->tree->open();
}
$node = $this->tree->get_root();
while (BPT_FLAG_INTERIOR == ($node->flag & BPT_FLAG_INTERIOR)) {
if (is_null($keylower)) {
$nkey = null;
} else {
$keys = $node->get_keys();
$n_keys = count($keys);
$place = BPT_bisect($keys, $keylower);
if ($place == 0) {
$nkey = null;
} elseif ($place > $n_keys) {
$nkey = $keys [$n_keys - 1];
} else {
$nkey = $keys [$place - 1];
}
}
$node = & $node->getnode($nkey);
}
$this->startnode = & $node;
$this->node = & $node;
$this->node_index = null;
$this->valid = 0;
$this->first();
$keylower = $this->keylower;
}
function first() {
$this->node = & $this->startnode;
$node = & $this->node;
$keys = & $node->keys;
$keylower = $this->keylower;
$keyupper = $this->keyupper;
$validkeys = $node->validkeys;
$this->valid = 0;
if ($keylower == null) {
$this->node_index = 0;
$this->valid = 1;
} elseif (in_array($keylower, $keys, true) && $this->includelower) {
$this->node_index = array_search($keylower, $keys, true);
$index = $this->node_index;
if ($index < $validkeys) {
$this->valid = 1;
}
}
if (!$this->valid) {
$place = BPT_bisect($keys, $keylower, 0, $validkeys);
if ($place < $validkeys || ($place == $validkeys && $this->includelower > 1)) {
if ($place > 0)
$index = $place - 1;
else
$index = $place;
$this->node_index = $index;
$testk = $keys [$index];
/*
* if ($testk>$keylower ||
* ($this->includelower && $testk==$keylower)) {
* $this->valid = true;
* } else {
* $this->valid = false;
* }
*/
$this->valid = BPT_keycmp($testk, $keylower) < 0 || // $testk>$keylower ||
($this->includelower && ($this->includelower > 1 || $testk == $keylower));
$this->keylower = $testk;
} else {
$next = & $node->nextneighbour();
if (!is_null($next)) {
$this->startnode = & $next;
$this->first();
return;
} else {
$this->valid = 0;
}
}
if ($this->valid && !is_null($keyupper)) {
$key = $this->current_key();
$this->valid = (BPT_keycmp($key, $keyupper) < 0 || // $key<$keyupper
($this->includeupper && $key == $keyupper));
}
}
}
function current_key() {
if ($this->valid)
return $this->node->keys [$this->node_index];
else
trigger_error("WALKER: Not a valid index ({$this->node_index})");
}
function current_value() {
if ($this->valid)
return $this->node->indices [$this->node_index];
else
trigger_error("WALKER: Not a valid index ({$this->node_index})");
}
function current() {
if ($this->valid) {
return array(
$this->node->keys [$this->node_index],
$this->node->indices [$this->node_index]
);
} else {
trigger_error("WALKER: Not a valid index ({$this->node_index})");
}
}
function next() {
$nextp = $this->node_index + 1;
$node = & $this->node;
if ($nextp >= $node->validkeys) {
$next = & $node->nextneighbour();
if (is_null($next)) {
$this->valid = 0;
return;
}
$this->node = & $next;
$node = & $next;
$nextp = 0;
}
if ($node->validkeys <= $nextp) {
$this->valid = 0;
} else {
$testkey = $node->keys [$nextp];
$keyupper = $this->keyupper;
$this->valid = (is_null($keyupper) || BPT_keycmp($testkey, $keyupper) < 0 ||
// $testkey < $keyupper ||
($this->includeupper && $testkey == $keyupper));
if ($this->valid)
$this->node_index = $nextp;
}
return $this->valid;
}
}
class caching_BPT extends BPlusTree {
var $cache = array();
function getitem(&$key, $loose = false) {
if (isset($this->cache [$key]))
return $this->cache [$key];
else {
$this->cache [$key] = parent::getitem($key, $loose);
return $this->cache [$key];
}
}
function resetcache() {
$this->cache = array();
}
function nope() {
trigger_error("operation not permitted in caching_BPT", E_USER_WARNING);
}
function setitem($key, $val) {
$this->nope();
}
function delitem($key) {
$this->nope();
}
}
class SBPlusTree extends BPlusTree {
var $maxstring;
var $stringfile;
var $nodesize;
var $keylen;
var $position;
function __construct($infile, $stringfile, $maxstring = 256, $pos = null, $nodesize = null, $keylen = null) {
parent::__construct($infile, $pos, $nodesize, $keylen);
$this->stringfile = $stringfile;
$this->maxstring = $maxstring;
}
function startup() {
fwrite($this->stringfile, 'BPTSTRINGS');
return parent::startup();
}
function getstring($seek) {
fseek($this->stringfile, $seek);
$s = fread($this->stringfile, $this->maxstring);
return rtrim($s);
}
function setstring($s, $key) {
$seek = $this->has_key($key);
if (!is_numeric($seek)) {
fseek($this->stringfile, 0, SEEK_END);
$seek = ftell($this->stringfile);
} else {
fseek($this->stringfile, $seek);
}
// nul-pad string
if (strlen($s > $this->maxstring))
$x = substr($s, 0, $this->maxstring);
$x = str_pad($s, $this->maxstring, chr(0));
fwrite($this->stringfile, $x);
return $seek;
}
function getitem(&$key, $loose = false) {
$seek = $this->has_key($key, $loose);
return is_numeric($seek) ? $this->getstring($seek) : false;
}
/**
*
* @param $key target
* key
* @returns int seek point if key exists, 0 otherwise
*/
function has_key(&$key, $loose = false) {
return @parent::getitem($key, $loose);
}
function setitem($key, $val) {
$seek = $this->setstring($val, $key);
parent::setitem($key, $seek);
return $seek;
}
function &walker(&$keylower, $includelower = null, $keyupper = null, $includeupper = null) {
$o = new SBPlusWalker($this, $keylower, $includelower, $keyupper, $includeupper);
return $o;
}
}
class SBPlusWalker extends BPlusWalker {
function current_value() {
$id = parent::current_value();
return $this->tree->getstring($id);
}
}
class caching_SBPT extends SBPlusTree {
var $cache = array();
function __construct($infile, $stringfile, $maxstring = 256, $pos = null, $nodesize = null, $keylen = null) {
parent::__construct($infile, $stringfile, $maxstring, $pos, $nodesize, $keylen);
}
function getitem(&$key, $loose = false) {
if (isset($this->cache [$key]))
return $this->cache [$key];
else {
$item = parent::getitem($key, $loose);
$this->cache [$key] = $item;
return $item;
}
}
function resetcache() {
$this->cache = array();
}
function nope() {
trigger_error("operation not permitted in caching_BPT", E_USER_WARNING);
}
function setitem($key, $val) {
$this->nope();
}
function delitem($key) {
$this->nope();
}
}
class BPlusUtils {
function recopy_bplus($fromfile, $tofile, $class = 'BPlusTree') {
$fromtree = new $class($fromfile);
$fromtree->open;
list ($f, $p, $n, $k) = $fromtree->init_params();
$totree = new $class($tofile, $p, $n, $k);
$totree->startup();
return BPlusUtils::recopy_tree($fromtree, $totree);
}
function recopy_tree($fromtree, $totree) {
list ($f, $p, $n, $k) = $totree->init_params();
// ....
}
}