// (Note that Nicely's definition of the "extra strong" test gives the wrong Jacobi condition,
// as pointed out by Jacobsen.)
//
// Crandall and Pomerance, Prime Numbers: A Computational Perspective, 2nd ed.
// Springer, 2005.
func (n nat) probablyPrimeLucas() bool {
	// Discard 0, 1.
	if len(n) == 0 || n.cmp(natOne) == 0 {
		return false
	}

minio-es-tolerance-alert.png...

		// quorum + 1 when tolerance is exactly half of the
		// total locker clients.
		if quorum == tolerance {
			quorum++
		}
	}

	log("lockBlocking %s/%s for %#v: lockType readLock(%t), additional opts: %#v, quorum: %d, tolerance: %d, lockClients: %d\n", id, source, dm.Names, isReadLock, opts, quorum, tolerance, len(restClnts))

	tolerance = len(restClnts) - quorum
	attempt := uint(0)

	for {
		select {

# Erasure code sizing guide

## Toy Setups

Capacity constrained environments, MinIO will work but not recommended for production.

| servers | drives (per node) | stripe_size | parity chosen (default) | tolerance for reads (servers) | tolerance for writes (servers) |
|--------:|------------------:|------------:|------------------------:|------------------------------:|-------------------------------:|

          assertFalse(DoubleMath.fuzzyEquals(inf, a, tolerance));
        }
      }
    }
  }

  public void testFuzzyInfiniteVersusInfiniteWithFiniteTolerance() {
    for (double inf : INFINITIES) {
      for (double tolerance : FINITE_TOLERANCE_CANDIDATES) {
        assertTrue(DoubleMath.fuzzyEquals(inf, inf, tolerance));
        assertFalse(DoubleMath.fuzzyEquals(inf, -inf, tolerance));
      }

   * implementations.
   *
   * @throws IllegalArgumentException if {@code tolerance} is {@code < 0} or NaN
   * @since 13.0
   */
  public static boolean fuzzyEquals(double a, double b, double tolerance) {
    MathPreconditions.checkNonNegative("tolerance", tolerance);
    return Math.copySign(a - b, 1.0) <= tolerance
        // copySign(x, 1.0) is a branch-free version of abs(x), but with different NaN semantics

   * implementations.
   *
   * @throws IllegalArgumentException if {@code tolerance} is {@code < 0} or NaN
   * @since 13.0
   */
  public static boolean fuzzyEquals(double a, double b, double tolerance) {
    MathPreconditions.checkNonNegative("tolerance", tolerance);
    return Math.copySign(a - b, 1.0) <= tolerance
        // copySign(x, 1.0) is a branch-free version of abs(x), but with different NaN semantics

	podLister                     corelisters.PodLister
	tolerance                     float64
	cpuInitializationPeriod       time.Duration
	delayOfInitialReadinessStatus time.Duration
}

// NewReplicaCalculator creates a new ReplicaCalculator and passes all necessary information to the new instance

To verify the above sample alert follow below steps

1. Start a distributed MinIO instance (4 nodes setup)
2. Start Prometheus server and AlertManager
3. Bring down couple of MinIO instances to bring down the Erasure Set tolerance to -1 and verify the same with `mc admin prometheus metrics ALIAS | grep minio_cluster_health_erasure_set_status`

}
func TestSpec(t *testing.T) { testDirFiles(t, "../../../../internal/types/testdata/spec", 20, false) } // TODO(gri) narrow column tolerance
func TestExamples(t *testing.T) {
	testDirFiles(t, "../../../../internal/types/testdata/examples", 125, false)
} // TODO(gri) narrow column tolerance
func TestFixedbugs(t *testing.T) {