String completeHex = "0[xX]" + hex + "[pP][+-]?\\d+#[fFdD]?";
    String fpPattern = "[+-]?(?:NaN|Infinity|" + completeDec + "|" + completeHex + ")";
    fpPattern =
        fpPattern.replace(
            "#",
            "+"
            );
    return
    java.util.regex.Pattern
        .compile(fpPattern);
  }

  /**

    /** Format identifier for PDF date parsing */
    private static final String PDF_DATE = "pdf_date";

    /** Regular expression pattern for matching email addresses */
    private static final Pattern EMAIL_ADDRESS_PATTERN =
            Pattern.compile("[A-Z0-9._%+-]+@[A-Z0-9.-]+\\.[A-Z]{2,6}", Pattern.CASE_INSENSITIVE);

    /**
     * Cache for storing resource file modification timestamps to enable cache busting.

         */
        KILL_ALL_GRADLE_PROCESSES
    }

    private static final Pattern UNIX_PID_PATTERN = Pattern.compile("([0-9]+)");
    private static final Pattern WINDOWS_PID_PATTERN = Pattern.compile("([0-9]+)\\s*$");
    private static final String MY_PID = String.valueOf(ProcessHandle.current().pid());

      hostname += "."
    }
    if (!pattern.endsWith(".")) {
      pattern += "."
    }
    // Hostname and pattern are now absolute domain names.

    pattern = pattern.asciiToLowercase()
    // Hostname and pattern are now in lower case -- domain names are case-insensitive.

    if ("*" !in pattern) {
      // Not a wildcard pattern -- hostname and pattern must match exactly.
      return hostname == pattern

    }

    /**
     * Converts a pattern string to a plain pattern string without delimiters.
     *
     * @param pattern the pattern string
     * @return the plain pattern string without delimiters
     */
    protected static String toPlainPattern(final String pattern) {
        final StringBuilder buf = new StringBuilder(pattern.length());
        for (int i = 0; i < pattern.length(); ++i) {

    <url-pattern>/*</url-pattern>
    <dispatcher>REQUEST</dispatcher>
  </filter-mapping>

  <filter-mapping>
    <filter-name>webApiFilter</filter-name>
    <url-pattern>/*</url-pattern>
    <dispatcher>REQUEST</dispatcher>
  </filter-mapping>

  <filter-mapping>
    <filter-name>lastaShowbaseFilter</filter-name>
    <url-pattern>/*</url-pattern>
    <dispatcher>REQUEST</dispatcher>

        }
        if (client == null) {
            throw new CrawlerSystemException("CrawlerClient instance is null. Cannot register null client.");
        }
        clientMap.put(Pattern.compile(regex), client);
    }

    /**
     * Adds a client with a regular expression pattern at a specific position.
     * @param regex The regular expression to match URLs.
     * @param client The CrawlerClient instance.

        le: float | None = None,
        min_length: int | None = None,
        max_length: int | None = None,
        pattern: str | None = None,
        regex: Annotated[
            str | None,
            deprecated(
                "Deprecated in FastAPI 0.100.0 and Pydantic v2, use `pattern` instead."
            ),
        ] = None,
        discriminator: str | None = None,
        strict: bool | None = _Unset,

     * @param pattern
     *            the pattern string
     * @return the converted {@literal long}
     */
    public static long toPrimitiveLong(final Object o, final String pattern) {
        return switch (o) {
        case null -> 0L;
        case Number n -> n.longValue();
        case String s -> toPrimitiveLong(s);

        // Pattern with single backslash (14 chars): should match
        String singleBackslash = "image/svg" + "\\" + "+xml";
        assertEquals("Single backslash pattern should be 14 chars", 14, singleBackslash.length());
        assertTrue(svgMimetype.matches(singleBackslash));

        // Pattern with double backslash (15 chars): should NOT match
        String doubleBackslash = "image/svg" + "\\\\" + "+xml";