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[LIB]: Knuth-Morris-Pratt textsearch algorithm

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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 automation theory

Signed-off-by: Thomas Graf <[email protected]>
Signed-off-by: David S. Miller <[email protected]>
This commit is contained in:
Thomas Graf 2005-06-23 20:58:37 -07:00 • committed by David S. Miller
commit df3fb93ad9
3 changed files with 156 additions and 0 deletions
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10
lib/Kconfig
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@ -70,4 +70,14 @@ config TEXTSEARCH
Say Y here if you want to provide a textsearch infrastructure
to other subsystems.
config TEXTSEARCH_KMP
depends on TEXTSEARCH
tristate "Knuth-Morris-Pratt"
help
Say Y here if you want to be able to search text using the
Knuth-Morris-Pratt textsearch algorithm.
To compile this code as a module, choose M here: the
module will be called ts_kmp.
endmenu