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1.  final def !=(arg0: Any): Boolean

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2.  final def ##(): Int

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3.  final def ==(arg0: Any): Boolean

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4.  final def asInstanceOf[T0]: T0

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5.  def clone(): AnyRef

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6.  final def eq(arg0: AnyRef): Boolean

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7.  def equals(arg0: Any): Boolean

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8.  def estimateBias(e: Double): Double

   Estimate the bias using the raw estimates with their respective biases from the HLL++ appendix.

   Estimate the bias using the raw estimates with their respective biases from the HLL++ appendix. We currently use KNN interpolation to determine the bias (as suggested in the paper).

9.  def finalize(): Unit

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10.  final def getClass(): Class[_]

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11.  def hashCode(): Int

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12.  final def isInstanceOf[T0]: Boolean

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13.  def merge(buffer1: InternalRow, buffer2: InternalRow, offset1: Int, offset2: Int): Unit

    Merge the HLL buffers by iterating through the registers in both buffers and select the maximum number of leading zeros for each register.

14.  final def ne(arg0: AnyRef): Boolean

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15.  final def notify(): Unit

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16.  final def notifyAll(): Unit

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17.  val numWords: Int

    The number of words used to store the registers.

    The number of words used to store the registers. We use Longs for storage because this is the most compact way of storage; Spark aligns to 8-byte words or uses Long wrappers.

    We only store whole registers per word in order to prevent overly complex bitwise operations. In practice this means we only use 60 out of 64 bits.

18.  def query(buffer: InternalRow, bufferOffset: Int): Long

    Compute the HyperLogLog estimate.

    Compute the HyperLogLog estimate.

    Variable names in the HLL++ paper match variable names in the code.

19.  final def synchronized[T0](arg0: ⇒ T0): T0

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20.  def toString(): String

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21.  def trueRsd: Double

    The rsd of HLL++ is always equal to or better than the rsd requested.

    The rsd of HLL++ is always equal to or better than the rsd requested. This method returns the rsd this instance actually guarantees.

    returns

    the actual rsd.

22.  def update(buffer: InternalRow, bufferOffset: Int, value: Any, dataType: DataType): Unit

    Update the HLL++ buffer.

    Update the HLL++ buffer.

    Variable names in the HLL++ paper match variable names in the code.

23.  final def wait(): Unit

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24.  final def wait(arg0: Long, arg1: Int): Unit

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25.  final def wait(arg0: Long): Unit

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