returns r and 0. func (r *Element) SqrtRatio(u, v *Element) (R *Element, wasSquare int) { t0 := new(Element) // r = (u * v3) * (u * v7)^((p-5)/8) v2 := new(Element).Square(v) uv3 := new(Element).Multiply(u, t0.Multiply(v2, v)) uv7 := new(Element).Multiply(uv3, t0.Square(v2)) rr := new(Element).Multiply(uv3, t0.Pow22523(uv7)) check := new(Element).Multiply(v, t0.Square(rr)) // check = v * r^2 uNeg := new(Element).Negate(u) correctSignSqrt := check.Equal(u) flippedSignSqrt := check.Equal(uNeg) flippedSignSqrtI...

     * This method creates a new function that caches the results of the original function,
     * improving performance for repeated calls with the same input.
     *
     * @param callback The original function to be memoized. It takes a String as input and returns a String.
     * @return A new {@code UnaryOperator<String>} that caches the results of the original function.

		return
	}

	m.wg.Add(1)
	defer m.wg.Done()

	if atomic.LoadInt32(&m.closing) == 1 {
		return
	}

	select {
	case m.opCh <- op:
	default:
	}
}

// Do not accept new MRF operations anymore and start to save
// the current heal status in one available disk
func (m *mrfState) shutdown() {
	atomic.StoreInt32(&m.closing, 1)
	m.wg.Wait()
	close(m.opCh)
	atomic.StoreInt32(&m.closed, 1)

	Start, End int64
}

// GetLength - get length of range
func (h *HTTPRangeSpec) GetLength(resourceSize int64) (rangeLength int64, err error) {
	switch {
	case resourceSize < 0:
		return 0, errors.New("Resource size cannot be negative")

	case h == nil:
		rangeLength = resourceSize

	case h.IsSuffixLength:
		specifiedLen := -h.Start
		rangeLength = min(specifiedLen, resourceSize)

        }
    }

    /**
     * Changes the password for a user identified by username.
     * Updates both the authentication manager and the database with the new encrypted password.
     *
     * @param username the username of the user
     * @param password the new password in plain text
     * @throws FessUserNotFoundException if the user is not found
     */

        if (isLoginRequired()) {
            return redirectToLogin();
        }

        Map<String, Object> doc = null;
        try {
            doc = searchHelper
                    .getDocumentByDocId(form.docId, new String[] { fessConfig.getIndexFieldUrl(), fessConfig.getIndexFieldConfigId() },
                            getUserBean())
                    .orElse(null);
        } catch (final Exception e) {

        for (ProjectSegment segment : projectBuilds) {
            segment.getSession().setParallel(parallel);
        }
        ExecutorService executor = Executors.newFixedThreadPool(nThreads, new BuildThreadFactory());
        CompletionService<ProjectSegment> service = new ExecutorCompletionService<>(executor);

        for (TaskSegment taskSegment : taskSegments) {
            ProjectBuildList segmentProjectBuilds = projectBuilds.getByTaskSegment(taskSegment);

		key := strings.ToLower(t.Type().String())
		n := cnt[key]
		cnt[key]++
		key = fmt.Sprintf("audit_%s_%d", key, n)
		res[key] = t.Stats()
	}

	return res
}

// AddSystemTarget adds a new logger target to the
// list of enabled loggers
func AddSystemTarget(ctx context.Context, t Target) error {
	if err := t.Init(ctx); err != nil {
		return err
	}

	if consoleTgt == nil {

        // Verify the method was called
        verify(mockResponse, times(1)).getMid();
    }

    @Test
    void testVerifySignature() {
        byte[] buffer = new byte[] { 1, 2, 3 };
        int offset = 0;
        int size = 3;

        // Simulate successful verification
        when(mockResponse.verifySignature(buffer, offset, size)).thenReturn(true);

   */
  private final Equivalence<? super T> equivalence;

  private final String relationshipName;
  private final String hashName;
  private final ItemReporter itemReporter;
  private final List<ImmutableList<T>> groups = new ArrayList<>();

  RelationshipTester(
      Equivalence<? super T> equivalence,
      String relationshipName,
      String hashName,
      ItemReporter itemReporter) {
    this.equivalence = checkNotNull(equivalence);