return increment ? div + signum : div;
  }

  /**
   * Returns {@code x mod m}, a non-negative value less than {@code m}. This differs from {@code x %
   * m}, which might be negative.
   *
   * <p>For example:
   *
   * <pre>{@code
   * mod(7, 4) == 3
   * mod(-7, 4) == 1
   * mod(-1, 4) == 3
   * mod(-8, 4) == 0
   * mod(8, 4) == 0
   * }</pre>
   *
   * @throws ArithmeticException if {@code m <= 0}

  }

  /**
   * Performs a right rotation of {@code array} of "distance" places, so that the first element is
   * moved to index "distance", and the element at index {@code i} ends up at index {@code (distance
   * + i) mod array.length}. This is equivalent to {@code Collections.rotate(Ints.asList(array),
   * distance)}, but is considerably faster and avoids allocation and garbage collection.
   *

    return increment ? div + signum : div;
  }

  /**
   * Returns {@code x mod m}, a non-negative value less than {@code m}. This differs from {@code x %
   * m}, which might be negative.
   *
   * <p>For example:
   *
   * <pre>{@code
   * mod(7, 4) == 3
   * mod(-7, 4) == 1
   * mod(-1, 4) == 3
   * mod(-8, 4) == 0
   * mod(8, 4) == 0
   * }</pre>
   *
   * @throws ArithmeticException if {@code m <= 0}

      for (int m : POSITIVE_INTEGER_CANDIDATES) {
        assertEquals(valueOf(x).mod(valueOf(m)).intValue(), LongMath.mod(x, m));
      }
    }
  }

  @GwtIncompatible // TODO
  public void testIntModNegativeModulusFails() {
    for (long x : ALL_LONG_CANDIDATES) {
      for (int m : NEGATIVE_INTEGER_CANDIDATES) {
        try {
          LongMath.mod(x, m);
          fail("Expected ArithmeticException");

  }

  /**
   * Performs a right rotation of {@code array} of "distance" places, so that the first element is
   * moved to index "distance", and the element at index {@code i} ends up at index {@code (distance
   * + i) mod array.length}. This is equivalent to {@code Collections.rotate(Bytes.asList(array),
   * distance)}, but is somewhat faster.
   *
   * <p>The provided "distance" may be negative, which will rotate left.
   *

        return sqrtFloor;
      case CEILING:
      case UP:
        int sqrtFloorInt = sqrtFloor.intValue();
        boolean sqrtFloorIsExact =
            (sqrtFloorInt * sqrtFloorInt == x.intValue()) // fast check mod 2^32
                && sqrtFloor.pow(2).equals(x); // slow exact check
        return sqrtFloorIsExact ? sqrtFloor : sqrtFloor.add(BigInteger.ONE);
      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN:

          UnsignedLong unsignedRem = aUnsigned.mod(bUnsigned);
          assertThat(unsignedRem.longValue()).isEqualTo(expected);
        }
      }
    }
  }

  public void testModByZero() {
    for (long a : TEST_LONGS) {
      try {
        UnsignedLong.fromLongBits(a).mod(UnsignedLong.ZERO);
        fail("Expected ArithmeticException");

  }

  /**
   * Performs a right rotation of {@code array} of "distance" places, so that the first element is
   * moved to index "distance", and the element at index {@code i} ends up at index {@code (distance
   * + i) mod array.length}. This is equivalent to {@code Collections.rotate(Booleans.asList(array),
   * distance)}, but is somewhat faster.
   *
   * <p>The provided "distance" may be negative, which will rotate left.
   *

  }

  /**
   * Performs a right rotation of {@code array} of "distance" places, so that the first element is
   * moved to index "distance", and the element at index {@code i} ends up at index {@code (distance
   * + i) mod array.length}. This is equivalent to {@code Collections.rotate(Booleans.asList(array),
   * distance)}, but is somewhat faster.
   *
   * <p>The provided "distance" may be negative, which will rotate left.
   *

  }

  /**
   * Performs a right rotation of {@code array} of "distance" places, so that the first element is
   * moved to index "distance", and the element at index {@code i} ends up at index {@code (distance
   * + i) mod array.length}. This is equivalent to {@code Collections.rotate(Ints.asList(array),
   * distance)}, but is considerably faster and avoids allocation and garbage collection.
   *