assertThat(transformation.isVertical()).isFalse();
    assertThat(transformation.isHorizontal()).isFalse();
    assertThat(transformation.slope()).isWithin(ALLOWED_ERROR).of(slope);
    // Note that we cannot test the actual mapping of points, as the results will be unreliable due
    // to loss of precision with this value of the slope.
  }

    assertEquals(knownNumberOfFalsePositives, numFpp);
    double expectedReportedFpp = (double) knownNumberOfFalsePositives / numInsertions;
    double actualReportedFpp = bf.expectedFpp();
    assertThat(actualReportedFpp).isWithin(0.00015).of(expectedReportedFpp);
  }

  public void testCreateAndCheckBloomFilterWithKnownFalsePositives64() {
    int numInsertions = 1000000;
    BloomFilter<String> bf =
        BloomFilter.create(

      }
      // measure probability and assert it's within margin of error
      for (int j = 0; j < hashBits; j++) {
        double prob = (double) diff[j] / (double) (diff[j] + same[j]);
        assertThat(prob).isWithin(epsilon).of(0.50d);
      }
    }
  }

  /**
   * Test for 2-bit characteristics. A characteristic is a delta in the input which is repeated in