org.apache.lucene.util.automaton

## Class Operations

- java.lang.Object
- - org.apache.lucene.util.automaton.Operations

-     public final class Operations
      extends Object

  Automata operations.
  WARNING: This API is experimental and might change in incompatible ways in the next release.

- - ### Field Summary

    Fields
    Modifier and Type | Field and Description
    --- | ---
    `static int` | `DEFAULT_MAX_DETERMINIZED_STATES` Default maximum number of states that `determinize(org.apache.lucene.util.automaton.Automaton, int)` should create.

  - ### Method Summary

    All Methods Static Methods Concrete Methods
    Modifier and Type | Method and Description
    --- | ---
    `static Automaton` | `complement(Automaton a, int maxDeterminizedStates)` Returns a (deterministic) automaton that accepts the complement of the language of the given automaton.
    `static Automaton` | `concatenate(Automaton a1, Automaton a2)` Returns an automaton that accepts the concatenation of the languages of the given automata.
    `static Automaton` | `concatenate(List<Automaton> l)` Returns an automaton that accepts the concatenation of the languages of the given automata.
    `static Automaton` | `determinize(Automaton a, int maxDeterminizedStates)` Determinizes the given automaton.
    `static String` | `getCommonPrefix(Automaton a)` Returns the longest string that is a prefix of all accepted strings and visits each state at most once.
    `static BytesRef` | `getCommonPrefixBytesRef(Automaton a)` Returns the longest BytesRef that is a prefix of all accepted strings and visits each state at most once.
    `static BytesRef` | `getCommonSuffixBytesRef(Automaton a, int maxDeterminizedStates)` Returns the longest BytesRef that is a suffix of all accepted strings.
    `static IntsRef` | `getSingleton(Automaton a)` If this automaton accepts a single input, return it.
    `static boolean` | `hasDeadStates(Automaton a)` Returns true if this automaton has any states that cannot be reached from the initial state or cannot reach an accept state.
    `static boolean` | `hasDeadStatesFromInitial(Automaton a)` Returns true if there are dead states reachable from an initial state.
    `static boolean` | `hasDeadStatesToAccept(Automaton a)` Returns true if there are dead states that reach an accept state.
    `static Automaton` | `intersection(Automaton a1, Automaton a2)` Returns an automaton that accepts the intersection of the languages of the given automata.
    `static boolean` | `isEmpty(Automaton a)` Returns true if the given automaton accepts no strings.
    `static boolean` | `isFinite(Automaton a)` Returns true if the language of this automaton is finite.
    `static boolean` | `isTotal(Automaton a)` Returns true if the given automaton accepts all strings.
    `static boolean` | `isTotal(Automaton a, int minAlphabet, int maxAlphabet)` Returns true if the given automaton accepts all strings for the specified min/max range of the alphabet.
    `static Automaton` | `minus(Automaton a1, Automaton a2, int maxDeterminizedStates)` Returns a (deterministic) automaton that accepts the intersection of the language of `a1` and the complement of the language of `a2`.
    `static Automaton` | `optional(Automaton a)` Returns an automaton that accepts the union of the empty string and the language of the given automaton.
    `static Automaton` | `removeDeadStates(Automaton a)` Removes transitions to dead states (a state is "dead" if it is not reachable from the initial state or no accept state is reachable from it.)
    `static Automaton` | `repeat(Automaton a)` Returns an automaton that accepts the Kleene star (zero or more concatenated repetitions) of the language of the given automaton.
    `static Automaton` | `repeat(Automaton a, int count)` Returns an automaton that accepts `min` or more concatenated repetitions of the language of the given automaton.
    `static Automaton` | `repeat(Automaton a, int min, int max)` Returns an automaton that accepts between `min` and `max` (including both) concatenated repetitions of the language of the given automaton.
    `static Automaton` | `reverse(Automaton a)` Returns an automaton accepting the reverse language.
    `static boolean` | `run(Automaton a, IntsRef s)` Returns true if the given string (expressed as unicode codepoints) is accepted by the automaton.
    `static boolean` | `run(Automaton a, String s)` Returns true if the given string is accepted by the automaton.
    `static boolean` | `sameLanguage(Automaton a1, Automaton a2)` Returns true if these two automata accept exactly the same language.
    `static boolean` | `subsetOf(Automaton a1, Automaton a2)` Returns true if the language of `a1` is a subset of the language of `a2`.
    `static int[]` | `topoSortStates(Automaton a)` Returns the topological sort of all states reachable from the initial state.
    `static Automaton` | `union(Automaton a1, Automaton a2)` Returns an automaton that accepts the union of the languages of the given automata.
    `static Automaton` | `union(Collection<Automaton> l)` Returns an automaton that accepts the union of the languages of the given automata.

    - ### Methods inherited from class java.lang.Object

      `clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

- - ### Field Detail

    - #### DEFAULT_MAX_DETERMINIZED_STATES

          public static final int DEFAULT_MAX_DETERMINIZED_STATES

      Default maximum number of states that `determinize(org.apache.lucene.util.automaton.Automaton, int)` should create.
      See Also:
        Constant Field Values

  - ### Method Detail

    - #### concatenate

          public static Automaton concatenate(Automaton a1,
                                              Automaton a2)

      Returns an automaton that accepts the concatenation of the languages of the given automata.

      Complexity: linear in total number of states.

    - #### concatenate

          public static Automaton concatenate(List<Automaton> l)

      Returns an automaton that accepts the concatenation of the languages of the given automata.

      Complexity: linear in total number of states.

    - #### optional

          public static Automaton optional(Automaton a)

      Returns an automaton that accepts the union of the empty string and the language of the given automaton. This may create a dead state.

      Complexity: linear in number of states.

    - #### repeat

          public static Automaton repeat(Automaton a)

      Returns an automaton that accepts the Kleene star (zero or more concatenated repetitions) of the language of the given automaton. Never modifies the input automaton language.

      Complexity: linear in number of states.

    - #### repeat

          public static Automaton repeat(Automaton a,
                                         int count)

      Returns an automaton that accepts `min` or more concatenated repetitions of the language of the given automaton.

      Complexity: linear in number of states and in `min`.

    - #### repeat

          public static Automaton repeat(Automaton a,
                                         int min,
                                         int max)

      Returns an automaton that accepts between `min` and `max` (including both) concatenated repetitions of the language of the given automaton.

      Complexity: linear in number of states and in `min` and `max`.

    - #### complement

          public static Automaton complement(Automaton a,
                                             int maxDeterminizedStates)

      Returns a (deterministic) automaton that accepts the complement of the language of the given automaton.

      Complexity: linear in number of states if already deterministic and exponential otherwise.

      Parameters:
        `maxDeterminizedStates` - maximum number of states determinizing the automaton can result in. Set higher to allow more complex queries and lower to prevent memory exhaustion.

    - #### minus

          public static Automaton minus(Automaton a1,
                                        Automaton a2,
                                        int maxDeterminizedStates)

      Returns a (deterministic) automaton that accepts the intersection of the language of `a1` and the complement of the language of `a2`. As a side-effect, the automata may be determinized, if not already deterministic.

      Complexity: quadratic in number of states if a2 already deterministic and exponential in number of a2's states otherwise.

    - #### intersection

          public static Automaton intersection(Automaton a1,
                                               Automaton a2)

      Returns an automaton that accepts the intersection of the languages of the given automata. Never modifies the input automata languages.

      Complexity: quadratic in number of states.

    - #### sameLanguage

          public static boolean sameLanguage(Automaton a1,
                                             Automaton a2)

      Returns true if these two automata accept exactly the same language. This is a costly computation! Both automata must be determinized and have no dead states!

    - #### hasDeadStates

          public static boolean hasDeadStates(Automaton a)

      Returns true if this automaton has any states that cannot be reached from the initial state or cannot reach an accept state. Cost is O(numTransitions+numStates).

    - #### hasDeadStatesFromInitial

          public static boolean hasDeadStatesFromInitial(Automaton a)

      Returns true if there are dead states reachable from an initial state.

    - #### hasDeadStatesToAccept

          public static boolean hasDeadStatesToAccept(Automaton a)

      Returns true if there are dead states that reach an accept state.

    - #### subsetOf

          public static boolean subsetOf(Automaton a1,
                                         Automaton a2)

      Returns true if the language of `a1` is a subset of the language of `a2`. Both automata must be determinized and must have no dead states.

      Complexity: quadratic in number of states.

    - #### union

          public static Automaton union(Automaton a1,
                                        Automaton a2)

      Returns an automaton that accepts the union of the languages of the given automata.

      Complexity: linear in number of states.

    - #### union

          public static Automaton union(Collection<Automaton> l)

      Returns an automaton that accepts the union of the languages of the given automata.

      Complexity: linear in number of states.

    - #### determinize

          public static Automaton determinize(Automaton a,
                                              int maxDeterminizedStates)

      Determinizes the given automaton.

      Worst case complexity: exponential in number of states.

      Parameters:
        `maxDeterminizedStates` - Maximum number of states created when determinizing. Higher numbers allow this operation to consume more memory but allow more complex automatons. Use DEFAULT_MAX_DETERMINIZED_STATES as a decent default if you don't know how many to allow.
      Throws:
        `TooComplexToDeterminizeException` - if determinizing a creates an automaton with more than maxDeterminizedStates

    - #### isEmpty

          public static boolean isEmpty(Automaton a)

      Returns true if the given automaton accepts no strings.

    - #### isTotal

          public static boolean isTotal(Automaton a)

      Returns true if the given automaton accepts all strings. The automaton must be minimized.

    - #### isTotal

          public static boolean isTotal(Automaton a,
                                        int minAlphabet,
                                        int maxAlphabet)

      Returns true if the given automaton accepts all strings for the specified min/max range of the alphabet. The automaton must be minimized.

    - #### run

          public static boolean run(Automaton a,
                                    String s)

      Returns true if the given string is accepted by the automaton. The input must be deterministic.

      Complexity: linear in the length of the string.

      Note: for full performance, use the `RunAutomaton` class.

    - #### run

          public static boolean run(Automaton a,
                                    IntsRef s)

      Returns true if the given string (expressed as unicode codepoints) is accepted by the automaton. The input must be deterministic.

      Complexity: linear in the length of the string.

      Note: for full performance, use the `RunAutomaton` class.

    - #### removeDeadStates

          public static Automaton removeDeadStates(Automaton a)

      Removes transitions to dead states (a state is "dead" if it is not reachable from the initial state or no accept state is reachable from it.)

    - #### isFinite

          public static boolean isFinite(Automaton a)

      Returns true if the language of this automaton is finite. The automaton must not have any dead states.

    - #### getCommonPrefix

          public static String getCommonPrefix(Automaton a)

      Returns the longest string that is a prefix of all accepted strings and visits each state at most once. The automaton must be deterministic.
      Returns:
        common prefix, which can be an empty (length 0) String (never null)

    - #### getCommonPrefixBytesRef

          public static BytesRef getCommonPrefixBytesRef(Automaton a)

      Returns the longest BytesRef that is a prefix of all accepted strings and visits each state at most once. The automaton must be deterministic.
      Returns:
        common prefix, which can be an empty (length 0) BytesRef (never null)

    - #### getSingleton

          public static IntsRef getSingleton(Automaton a)

      If this automaton accepts a single input, return it. Else, return null. The automaton must be deterministic.

    - #### getCommonSuffixBytesRef

          public static BytesRef getCommonSuffixBytesRef(Automaton a,
                                                         int maxDeterminizedStates)

      Returns the longest BytesRef that is a suffix of all accepted strings. Worst case complexity: exponential in number of states (this calls determinize).
      Parameters:
        `maxDeterminizedStates` - maximum number of states determinizing the automaton can result in. Set higher to allow more complex queries and lower to prevent memory exhaustion.
      Returns:
        common suffix, which can be an empty (length 0) BytesRef (never null)

    - #### reverse

          public static Automaton reverse(Automaton a)

      Returns an automaton accepting the reverse language.

    - #### topoSortStates

          public static int[] topoSortStates(Automaton a)

      Returns the topological sort of all states reachable from the initial state. Behavior is undefined if this automaton has cycles. CPU cost is O(numTransitions), and the implementation is recursive so an automaton matching long strings may exhaust the java stack.

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