update hll documentation, make a few functions private and create

a new copy constructor.
This commit is contained in:
Bernhard Amann 2013-09-16 10:40:25 -07:00
parent eb1d7ccc4a
commit c0f780c728
3 changed files with 108 additions and 63 deletions

View file

@ -15,6 +15,9 @@ int CardinalityCounter::OptimalB(double error, double confidence)
double initial_estimate = 2 * (log(1.04) - log(error)) / log(2);
int answer = (int) floor(initial_estimate);
// k is the number of standard deviations that we have to go to have
// a confidence level of conf.
double k = 0;
do {
@ -54,6 +57,12 @@ void CardinalityCounter::Init(uint64 size)
V = m;
}
CardinalityCounter::CardinalityCounter(CardinalityCounter& other)
{
Init(other.GetM());
Merge(&other);
}
CardinalityCounter::CardinalityCounter(double error_margin, double confidence)
{
int b = OptimalB(error_margin, confidence);
@ -107,7 +116,16 @@ void CardinalityCounter::AddElement(uint64 hash)
buckets[index] = temp;
}
double CardinalityCounter::Size()
/**
* Estimate the size by using the the "raw" HyperLogLog estimate. Then,
* check if it's too "large" or "small" because the raw estimate doesn't
* do well in those cases.
* Thus, we correct for those errors as specified in the paper.
*
* Note - we deviate from the HLL algorithm in the paper here, because
* of our 64-bit hashes.
**/
double CardinalityCounter::Size() const
{
double answer = 0;
for ( unsigned int i = 0; i < m; i++ )
@ -126,8 +144,11 @@ double CardinalityCounter::Size()
return -pow(2, 64) * log(1 - (answer / pow(2, 64)));
}
void CardinalityCounter::Merge(CardinalityCounter* c)
bool CardinalityCounter::Merge(CardinalityCounter* c)
{
if ( m != c->GetM() )
return false;
uint8_t* temp = c->GetBuckets();
V = 0;
@ -140,6 +161,8 @@ void CardinalityCounter::Merge(CardinalityCounter* c)
if ( buckets[i] == 0 )
++V;
}
return true;
}
uint8_t* CardinalityCounter::GetBuckets()
@ -147,7 +170,7 @@ uint8_t* CardinalityCounter::GetBuckets()
return buckets;
}
uint64 CardinalityCounter::GetM()
uint64 CardinalityCounter::GetM() const
{
return m;
}

View file

@ -9,81 +9,78 @@
namespace probabilistic {
/**
* A probabilisitc cardinality counter using the HyperLogLog algorithm.
*
* TODO: Update doc string.
* A probabilistic cardinality counter using the HyperLogLog algorithm.
*/
class CardinalityCounter {
public:
/**
* Constructor.
*
* Based on the error_margin, the number of buckets that need to be
* kept will be determined. Based on the max_size, the number of bits
* that will be used from the hash function will be determined.
* The number of buckets of the data structure is determined using
* the error margin and the given confidence.
*
* We need the hash function to return integers that are uniformly
* distributed from 0 to 2^L-1. And if that happens, the maximum
* cardinality that this counter can handle is approximately 2^L. By
* default, we will assume a value of 64 bits.
* For example, assume an error_margin of 2% and a confidence
* of 95%. If the Size function returns an estimate of 100, this
* means that we are 95% sure that the cardinality is between 98
* and 102.
*
* Confidence in the estimate given by a cardinality counter is.
* @param error_margin error margin
*
* In other words, if the cardinality is estimated to be 100 with 2%
* error margin and HLL_CONFis 0.95, then we are 95% sure that the
* actual cardinality is between 98 and 102.
* @param confidence confidence of the error. Default: 0.95
*/
CardinalityCounter(double error_margin, double confidence = 0.95);
/**
* Constructor used for cloning.
* Copy-Constructor
*/
CardinalityCounter(CardinalityCounter& other);
/**
* Constructor for a known number of buckets.
*
* The error margin will be 1.04/sqrt(m) with approximately 68%
* The error margin is 1.04/sqrt(size) with approximately 68%
* probability.
*
* @param size number of buckets to create
*/
CardinalityCounter(uint64 size);
/**
* Deletes the class variables.
* Destructor.
*/
~CardinalityCounter();
/**
* This will add an element to the counter. It's responsible for
* adding an element and updating the value of V, if that applies.
* Add a new element to the counter.
*
* The hash function generating the hashes needs to be uniformly
* distributed over 64 bits.
*
* @param hash 64-bit hash value of the element to be added
*/
void AddElement(uint64 hash);
/**
* Returns the size estimate of the set. First, it has the "raw"
* HyperLogLog estimate. And then, we check if it's too "large" or
* "small" because the raw estimate doesn't do well in those cases.
* Thus, we correct for those errors as specified in the paper.
*/
double Size();
/**
* Returns the buckets array that holds all of the rough cardinality
* estimates.
*/
uint8_t* GetBuckets();
* Get the current estimated number of elements in the data
* structure
*
* @return Estimated number of elements
**/
double Size() const;
/**
* Merges the argument cardinality counter with this one. The error
* margins are assumed to be the same, so they have the same number of
* buckets. If any of the conditions are violated, then the return
* value of size() is meaningless.
* margins of both counters have to be the same, otherwhise the merge
* operation will not be carried out.
*
* @param c Cardinality counter to merge into the current counter.
*
* @return True if successful
*/
void Merge(CardinalityCounter* c);
bool Merge(CardinalityCounter* c);
/**
* Returns the value of m. Should be used only for statistical
* purposes.
*/
uint64 GetM();
/**
c * Serializes the cardinality counter.
* Serializes the cardinality counter.
*
* @param info The serializaton information to use.
*
@ -97,10 +94,28 @@ c * Serializes the cardinality counter.
* @param info The serializaton information to use.
*
* @return The unserialized cardinality counter, or null if an error
* occured.
* occured.
*/
static CardinalityCounter* Unserialize(UnserialInfo* info);
protected:
/**
* Return the number of buckets.
*
* @return Number of buckets
*/
uint64 GetM() const;
/**
* Returns the buckets array that holds all of the rough cardinality
* estimates.
*
* Use GetM() to determine the size.
*
* @return Array containing cardinality estimates
*/
uint8_t* GetBuckets();
private:
/**
* Constructor used when unserializing, i.e., all parameters are
@ -110,31 +125,38 @@ private:
/**
* Helper function with code used jointly by multiple constructors.
*
* @param arg_size: number of buckets that need to be kept
*/
void Init(uint64 arg_size);
/**
* This function will calculate the smallest value of b that will
* This function calculates the smallest value of b that will
* satisfy these the constraints of a specified error margin and
* confidence level.
*
* The exact expression for b is as follows:
* Define x = 2*(log(1.04*k/error)/log(2)). Then b is the ceiling of x
* Define x = 2*(log(1.04*k/error)/log(2)). Then b is the ceiling of x.
*
* error is the error margin.
* After that initial estimate, the value of b is increased until the
* standard deviation falls within the specified valud.
*
* k is the number of standard deviations that we have to go to have
* a confidence level of conf.
* @param error error margin
*
* confidence: TODO.
* @param confidence confidence of the error
*
* @return minimal B-value satisfying the error-rate under confidence.
*/
int OptimalB(double error, double confidence);
/**
* Computes when the first one appears in the element. It looks at the
* bitstring from the end though. A precondition is that the argument
* is already divisible by m, so we just ignore the last b bits, since
* m = 2^b and the last b bits will always be 0.
* Determines at which index (counted from the back) the first one-bit
* appears. The last b bits have to be 0 (the element has to be divisible
* by m), hence they are ignored.
*
* @param hash_modified hash value
*
* @returns index of first one-bit
*/
uint8_t Rank(uint64 hash_modified);

View file

@ -91,7 +91,12 @@ function hll_cardinality_merge_into%(handle1: opaque of cardinality, handle2: op
CardinalityCounter* h1 = v1->Get();
CardinalityCounter* h2 = v2->Get();
h1->Merge(h2);
bool res = h1->Merge(h2);
if ( res == false )
{
reporter->Error("Carinality counters with different parameters cannot be merged");
return new Val(0, TYPE_BOOL);
}
return new Val(1, TYPE_BOOL);
%}
@ -126,12 +131,7 @@ function hll_cardinality_copy%(handle: opaque of cardinality%): opaque of cardin
%{
CardinalityVal* cv = static_cast<CardinalityVal*>(handle);
CardinalityCounter* h = cv->Get();
uint64_t m = h->GetM();
CardinalityCounter* h2 = new CardinalityCounter(m);
int i = 0;
h2->Merge(h);
CardinalityCounter* h2 = new CardinalityCounter(*h);
CardinalityVal* out = new CardinalityVal(h2);
return out;