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366 lines
12 KiB
PHP
366 lines
12 KiB
PHP
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<?php
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/**
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* PHP Library to calculate and compare Nilsimsa digests.
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*
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* The Nilsimsa hash is a locality senstive hash function. Generally similar
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* documents will have similar Nilsimsa digests. The Hamming distance between
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* the digests can be used to approximate the similarity between documents. For
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* further information consult http://en.wikipedia.org/wiki/Nilsimsa_Hash and
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* the references (particularly Damiani et al.)
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*
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* Implementation details:
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* The Nilsimsa class takes in a data parameter which is the string of the
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* document to digest Calling the methods hexdigest() and digest() give the
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* nilsimsa digests in hex or array format. The helper function compare_digests
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* takes in two digests and computes the Nilsimsa score. You can also use
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* compare_files() and compare_strings() to compare files and strings directly.
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*
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* This code is a port of py-nilsimsa located at
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* https://code.google.com/p/py-nilsimsa/
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*/
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/**
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* The MIT License (MIT)
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*
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* Copyright (c) 2015 Bill Eager
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the 'Software'), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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class Nilsimsa
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{
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/**
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* Tran53 hash constant
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* @var array
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*/
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const TRAN = [
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0x02,0xd6,0x9e,0x6f,0xf9,0x1d,0x04,0xab,0xd0,0x22,0x16,0x1f,0xd8,0x73,0xa1,0xac,
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0x3b,0x70,0x62,0x96,0x1e,0x6e,0x8f,0x39,0x9d,0x05,0x14,0x4a,0xa6,0xbe,0xae,0x0e,
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0xcf,0xb9,0x9c,0x9a,0xc7,0x68,0x13,0xe1,0x2d,0xa4,0xeb,0x51,0x8d,0x64,0x6b,0x50,
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0x23,0x80,0x03,0x41,0xec,0xbb,0x71,0xcc,0x7a,0x86,0x7f,0x98,0xf2,0x36,0x5e,0xee,
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0x8e,0xce,0x4f,0xb8,0x32,0xb6,0x5f,0x59,0xdc,0x1b,0x31,0x4c,0x7b,0xf0,0x63,0x01,
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0x6c,0xba,0x07,0xe8,0x12,0x77,0x49,0x3c,0xda,0x46,0xfe,0x2f,0x79,0x1c,0x9b,0x30,
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0xe3,0x00,0x06,0x7e,0x2e,0x0f,0x38,0x33,0x21,0xad,0xa5,0x54,0xca,0xa7,0x29,0xfc,
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0x5a,0x47,0x69,0x7d,0xc5,0x95,0xb5,0xf4,0x0b,0x90,0xa3,0x81,0x6d,0x25,0x55,0x35,
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0xf5,0x75,0x74,0x0a,0x26,0xbf,0x19,0x5c,0x1a,0xc6,0xff,0x99,0x5d,0x84,0xaa,0x66,
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0x3e,0xaf,0x78,0xb3,0x20,0x43,0xc1,0xed,0x24,0xea,0xe6,0x3f,0x18,0xf3,0xa0,0x42,
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0x57,0x08,0x53,0x60,0xc3,0xc0,0x83,0x40,0x82,0xd7,0x09,0xbd,0x44,0x2a,0x67,0xa8,
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0x93,0xe0,0xc2,0x56,0x9f,0xd9,0xdd,0x85,0x15,0xb4,0x8a,0x27,0x28,0x92,0x76,0xde,
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0xef,0xf8,0xb2,0xb7,0xc9,0x3d,0x45,0x94,0x4b,0x11,0x0d,0x65,0xd5,0x34,0x8b,0x91,
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0x0c,0xfa,0x87,0xe9,0x7c,0x5b,0xb1,0x4d,0xe5,0xd4,0xcb,0x10,0xa2,0x17,0x89,0xbc,
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0xdb,0xb0,0xe2,0x97,0x88,0x52,0xf7,0x48,0xd3,0x61,0x2c,0x3a,0x2b,0xd1,0x8c,0xfb,
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0xf1,0xcd,0xe4,0x6a,0xe7,0xa9,0xfd,0xc4,0x37,0xc8,0xd2,0xf6,0xdf,0x58,0x72,0x4e,
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];
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/**
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* Stores whether the digest is complete
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*
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* @var boolean
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*/
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private $digestComputed;
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/**
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* Stores the number of characters in the string digested
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*
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* @var int
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*/
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private $numChar;
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/**
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* Stores the accumulator as a 256-bit vector
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*
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* @var array
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*/
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private $acc;
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/**
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* Stores the active window used in {process} for hashing
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*
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* @var array
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*/
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private $window;
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/**
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* @var mixed
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*/
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private $digest;
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/**
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* The target length of the hash.
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* @var int
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*/
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private $length;
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/**
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* Constructor
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*
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* @param string $data The data to process
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*/
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public function __construct($data = null, $length = null)
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{
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if($length !== null) $this->length = $length;
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$this->digestComputed = false;
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$this->numChar = 0;
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$this->acc = array_fill(0, $this->length, 0);
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$this->window = [];
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if ($data) {
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$this->process($data);
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}
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}
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/**
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* Computes the hash of all of the trigrams in the chunk using a window of
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* length 5
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*
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* @param string $chunk The chunk to process
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*/
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public function process($chunk)
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{
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foreach (str_split($chunk) as $char) {
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$this->numChar++;
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$c = ord($char);
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$windowLength = count($this->window);
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if ($windowLength > 1) {
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// seen at least three characters
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$this->acc[$this->tranHash(
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$c, $this->window[0], $this->window[1], 0
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)]
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+= 1;
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}
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if ($windowLength > 2) {
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// seen at least four characters
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$this->acc[$this->tranHash(
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$c, $this->window[0], $this->window[2], 1
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)]
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+= 1;
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$this->acc[$this->tranHash(
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$c, $this->window[1], $this->window[2], 2
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)]
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+= 1;
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}
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if ($windowLength > 3) {
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// have a full window
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$this->acc[$this->tranHash(
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$c, $this->window[0], $this->window[3], 3
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)]
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+= 1;
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$this->acc[$this->tranHash(
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$c, $this->window[1], $this->window[3], 4
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)]
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+= 1;
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$this->acc[$this->tranHash(
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$c, $this->window[2], $this->window[3], 5
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)]
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+= 1;
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// duplicate hashes, used to maintain 8 trigrams per character
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$this->acc[$this->tranHash(
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$this->window[3], $this->window[0], $c, 6
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)]
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+= 1;
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$this->acc[$this->tranHash(
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$this->window[3], $this->window[2], $c, 7
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)]
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+= 1;
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}
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// add current character to the window, remove the previous character
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array_unshift($this->window, $c);
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if ($windowLength >= 4) {
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$this->window = array_slice($this->window, 0, 4);
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}
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}
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}
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/**
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* Implementation of the Tran53 hash algorithm
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*
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* @param int $a Input A
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* @param int $b Input B
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* @param int $c Input C
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* @param int $n Input N
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*
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* @return int
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*/
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public function tranHash($a, $b, $c, $n)
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{
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return ((
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(self::TRAN[($a + $n) & 255] ^ self::TRAN[$b] * ($n + $n + 1)) +
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self::TRAN[($c) ^ self::TRAN[$n]]
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) & ($this->length-1)); // Was 255
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}
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/**
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* Returns the digest as a hex string. Computes it if it isn't computed
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* already.
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*
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* @return string The digest
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*/
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public function hexDigest()
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{
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if ( ! $this->digestComputed) {
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$this->computeDigest();
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}
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$output = null;
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foreach ($this->digest as $i) {
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$output .= sprintf('%02x', $i);
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}
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return $output;
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}
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/**
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* Returns the digest as an array. Computes it if it isn't computed already.
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*
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* @return array The digest
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*/
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public function digest()
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{
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if ( ! $this->digestComputed) {
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$this->computeDigest();
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}
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return $this->digest;
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}
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/**
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* Using a threshold (mean of the accumulator), computes the nilsimsa
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* digest after completion. Sets complete flag to true and stores result in
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* $this->digest
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*/
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public function computeDigest()
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{
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$numTrigrams = 0;
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if ($this->numChar == 3) {
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// 3 chars -> 1 trigram
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$numTrigrams = 1;
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}
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else if ($this->numChar == 4) {
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// 4 chars -> 4 trigrams
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$numTrigrams = 4;
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}
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else if ($this->numChar > 4) {
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// > 4 chars -> 8 for each CHAR
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$numTrigrams = 8 * $this->numChar - 28;
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}
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// threshhold is the mean of the acc buckets
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$threshold = $numTrigrams / $this->length;
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$digest = array_fill(0, $this->length/8, 0);
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for ($i = 0; $i < ($this->length-2); $i++) {
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if ($this->acc[$i] > $threshold) {
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// equivalent to i/8, 2**(i mod 7)
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$digest[$i >> 3] += 1 << ($i & 7);
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}
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}
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// set flag to true
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$this->digestComputed = true;
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// store result in digest, reversed
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$this->digest = array_reverse($digest);
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}
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static function hash($data, $length = 256) {
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$hasher = new self($data, $length);
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return $hasher->hexDigest();
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}
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}
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function lines_count($handle) {
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fseek($handle, 0);
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$count = 0;
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while(fgets($handle) !== false) $count++;
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return $count;
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}
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$mode = $argv[1] ?? "help";
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switch($mode) {
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case "typos":
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$handle = fopen("typos.csv", "r");
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$line_count = lines_count($handle);
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echo("$line_count lines total\n");
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$sizes = [ 256, 128, 64, 32, 16, 8 ];
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foreach($sizes as $size) {
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fseek($handle, 0);fgets($handle); // Skipt he first line since it's the header
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$count = 0; $count_same = 0; $skipped = 0;
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$same = []; $not_same = [];
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while(($line = fgets($handle)) !== false) {
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$parts = explode(",", trim($line), 2);
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if(strlen($parts[1]) < 3) {
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$skipped++;
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continue;
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}
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$hash_a = Nilsimsa::hash($parts[0], $size);
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$hash_b = Nilsimsa::hash($parts[1], $size);
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$count++;
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if($hash_a == $hash_b) {
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$count_same++;
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$same[] = $parts;
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}
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else $not_same[] = $parts;
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echo("$count_same / $count ($skipped skipped)\r");
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}
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file_put_contents("$size-same.csv", implode("\n", array_map(function ($el) {
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return implode(",", $el);
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}, $same)));
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file_put_contents("$size-not-same.csv", implode("\n", array_map(function ($el) {
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return implode(",", $el);
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}, $not_same)));
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echo(str_pad($size, 10)."→ $count_same / $count (".round(($count_same/$count)*100, 2)."%), $skipped skipped\n");
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}
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break;
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case "helloworld":
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foreach([ 256, 128, 64, 32, 16, 8 ] as $size) {
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echo(str_pad($size, 10).Nilsimsa::hash("hello, world!", $size));
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// echo(str_pad($size, 10).Nilsimsa::hash("pinnapple", $size));
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echo("\n");
|
||
|
|
}
|
||
|
|
break;
|
||
|
|
|
||
|
|
case "help":
|
||
|
|
default:
|
||
|
|
echo("Mode $mode not recognised. Available modes:\n");
|
||
|
|
echo(" helloworld Show different hash sizes\n");
|
||
|
|
echo(" typos Compare typos in typos.csv and calculate statistics\n");
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
|
||
|
|
/*
|
||
|
|
* TODO: Explore BK-Trees. SymSpell might be orders of magnitudes faster, but that's compared to a regular BK-Tree - and it's *much* more complicated.
|
||
|
|
* If we instead use Nilsimsa + the hamming distance comparison funnction (which we removed & will need to reinstate), is it faster than doing lots of `levenshtein()` calls?
|
||
|
|
* Experimentation is needed.
|
||
|
|
* See also gmp_hamdist() (which requires the gmp PHP extension).
|
||
|
|
*/
|