// SPDX-License-Identifier: GPL-2.0-or-later /* * lib/ts_kmp.c Knuth-Morris-Pratt text search implementation * * Authors: Thomas Graf <tgraf@suug.ch> * * ========================================================================== * * Implements a linear-time string-matching algorithm due to Knuth, * Morris, and Pratt [1]. Their algorithm avoids the explicit * computation of the transition function DELTA altogether. Its * matching time is O(n), for n being length(text), using just an * auxiliary function PI[1..m], for m being length(pattern), * precomputed from the pattern in time O(m). The array PI allows * the transition function DELTA to be computed efficiently * "on the fly" as needed. Roughly speaking, for any state * "q" = 0,1,...,m and any character "a" in SIGMA, the value * PI["q"] contains the information that is independent of "a" and * is needed to compute DELTA("q", "a") [2]. Since the array PI * has only m entries, whereas DELTA has O(m|SIGMA|) entries, we * save a factor of |SIGMA| in the preprocessing time by computing * PI rather than DELTA. * * [1] Cormen, Leiserson, Rivest, Stein * Introdcution to Algorithms, 2nd Edition, MIT Press * [2] See finite automaton theory
*/
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