public void Offer()
{
var hll = new HyperLogLogPlus(14, 25);
Assert.True(hll.OfferHashed(Hash64("123")));
Assert.True(hll.OfferHashed(Hash64("ABC")));
Assert.False(hll.OfferHashed(Hash64("123")));
Assert.False(hll.OfferHashed(Hash64("ABC")));
}
public void Serialization_Sparse()
{
var hll = new HyperLogLogPlus(14, 25);
hll.OfferHashed(Hash64("a"));
hll.OfferHashed(Hash64("b"));
hll.OfferHashed(Hash64("c"));
hll.OfferHashed(Hash64("d"));
hll.OfferHashed(Hash64("e"));
var hll2 = HyperLogLogPlus.FromBytes(hll.ToBytes());
Assert.That(hll2.Cardinality(), Is.EqualTo(hll.Cardinality()));
}
public void Merge_SparseIntersection()
{
var a = new HyperLogLogPlus(11, 16);
var b = new HyperLogLogPlus(11, 16);
// Note that only one element, 41, is shared amongst the two sets,
// and so the number of total unique elements is 14.
int[] aInput = { 12, 13, 22, 34, 38, 40, 41, 46, 49 };
int[] bInput = { 2, 6, 19, 29, 41, 48 };
var testSet = new HashSet <int>();
foreach (int i in aInput)
{
testSet.Add(i);
a.OfferHashed(Hash64(i));
}
foreach (int i in bInput)
{
testSet.Add(i);
b.OfferHashed(Hash64(i));
}
Assert.That(testSet.Count, Is.EqualTo(14));
Assert.That(a.Cardinality(), Is.EqualTo(9));
Assert.That(b.Cardinality(), Is.EqualTo(6));
a.AddAll(b);
Assert.That(a.Cardinality(), Is.EqualTo(14));
}
public void Merge_ManySparse()
{
const int numToMerge = 20;
const int bits = 18;
const int cardinality = 10000;
var hlls = new HyperLogLogPlus[numToMerge];
var baseline = new HyperLogLogPlus(bits, 25);
for (int i = 0; i < numToMerge; i++)
{
hlls[i] = new HyperLogLogPlus(bits, 25);
for (int j = 0; j < cardinality; j++)
{
double val = Rnd.NextDouble();
hlls[i].OfferHashed(Hash64(val));
baseline.OfferHashed(Hash64(val));
}
}
const long expectedCardinality = numToMerge * cardinality;
var hll = hlls[0];
hlls = hlls.Skip(1).ToArray();
long mergedEstimate = hll.Merge(hlls).Cardinality();
double se = expectedCardinality * (1.04 / Math.Sqrt(Math.Pow(2, bits)));
Console.WriteLine("Expect estimate: {0} is between {1} and {2}", mergedEstimate, expectedCardinality - (3 * se), expectedCardinality + (3 * se));
Assert.That(mergedEstimate, Is.InRange(expectedCardinality - (3 * se), expectedCardinality + (3 * se)));
}
public void Merge_Sparse()
{
const int numToMerge = 4;
const int bits = 18;
const int cardinality = 4000;
var hlls = new HyperLogLogPlus[numToMerge];
var baseline = new HyperLogLogPlus(bits, 25);
for (var i = 0; i < numToMerge; ++i)
{
hlls[i] = new HyperLogLogPlus(bits, 25);
for (int j = 0; j < cardinality; ++j)
{
double val = Rnd.NextDouble();
hlls[i].OfferHashed(Hash64(val));
baseline.OfferHashed(Hash64(val));
}
}
const long expectedCardinality = numToMerge * cardinality;
HyperLogLogPlus hll = hlls[0];
hlls = hlls.Skip(1).ToArray();
long mergedEstimate = hll.Merge(hlls).Cardinality();
double se = expectedCardinality * (1.04 / Math.Sqrt(Math.Pow(2, bits)));
Console.WriteLine("Expect estimate: {0} is between {1} and {2}", mergedEstimate, expectedCardinality - (3 * se), expectedCardinality + (3 * se));
double err = Math.Abs(mergedEstimate - expectedCardinality) / (double)expectedCardinality;
Console.WriteLine("Percentage error " + err);
Assert.That(err, Is.LessThan(0.1));
Assert.That(mergedEstimate, Is.InRange(expectedCardinality - (3 * se), expectedCardinality + (3 * se)));
}
public void One()
{
var one = new HyperLogLogPlus(8, 25);
one.OfferHashed(Hash64("a"));
Assert.That(one.Cardinality(), Is.EqualTo(1));
}
public void MergeSelf()
{
int[] cardinalities = { 0, 1, 10, 100, 1000, 10000, 100000 };
uint[] ps = { 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 };
uint[] sps = { 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32 };
foreach (int cardinality in cardinalities)
{
for (int j = 0; j < ps.Length; j++)
{
foreach (var sp in sps)
{
if (sp < ps[j])
{
continue;
}
var hll = new HyperLogLogPlus(ps[j], sp);
for (int l = 0; l < cardinality; l++)
{
hll.OfferHashed(Hash64(Rnd.Next()));
}
var deserialized = HyperLogLogPlus.FromBytes(hll.ToBytes());
Console.WriteLine(ps[j] + "-" + sp + ": " + cardinality + " -> " + hll.Cardinality());
Assert.That(deserialized.Cardinality(), Is.EqualTo(hll.Cardinality()));
var merged = hll.Merge(deserialized);
Assert.That(merged.Cardinality(), Is.EqualTo(hll.Cardinality()));
}
}
}
}
public void SparseSpace()
{
var hllp = new HyperLogLogPlus(14, 14);
for (int i = 0; i < 10000; ++i)
{
hllp.OfferHashed(Hash64(i));
}
Console.WriteLine("Size: {0}", hllp.ToBytes().Length);
}
public void Equals()
{
var hll1 = new HyperLogLogPlus(5, 25);
var hll2 = new HyperLogLogPlus(5, 25);
hll1.OfferHashed(Hash64("A"));
hll2.OfferHashed(Hash64("A"));
Assert.That(hll1, Is.EqualTo(hll2));
hll2.OfferHashed(Hash64("B"));
hll2.OfferHashed(Hash64("C"));
hll2.OfferHashed(Hash64("D"));
Assert.That(hll1, Is.Not.EqualTo(hll2));
var hll3 = new HyperLogLogPlus(5, 25);
for (int i = 0; i < 50000; i++)
{
hll3.OfferHashed(Hash64("" + i));
}
Assert.That(hll3, Is.Not.EqualTo(hll1));
}
public void Serialization_Normal()
{
var hll = new HyperLogLogPlus(5, 25);
for (var i = 0; i < 100000; ++i)
{
hll.OfferHashed(Hash64(i));
}
Console.WriteLine(hll.Cardinality());
var hll2 = HyperLogLogPlus.FromBytes(hll.ToBytes());
Assert.That(hll2.Cardinality(), Is.EqualTo(hll.Cardinality()));
}
public void ComputeCount()
{
const int count = 70000;
var hll = new HyperLogLogPlus(14, 25);
for (int i = 0; i < count; i++)
{
hll.OfferHashed(Hash64("i" + i));
}
long estimate = hll.Cardinality();
double se = count * (1.04 / Math.Sqrt(Math.Pow(2, 14)));
const long expectedCardinality = count;
Console.WriteLine("Expect estimate: {0} is between {1} and {2}", estimate, expectedCardinality - (3 * se),
expectedCardinality + (3 * se));
Assert.That(estimate, Is.GreaterThanOrEqualTo(expectedCardinality - (3 * se)));
Assert.That(estimate, Is.LessThanOrEqualTo(expectedCardinality + (3 * se)));
}
public void HighCardinality()
{
var sw = Stopwatch.StartNew();
var hll = new HyperLogLogPlus(18, 25);
const int size = (int)10e6;
for (int i = 0; i < size; ++i)
{
var buf = new byte[8];
Rnd.NextBytes(buf);
hll.OfferHashed(Hash64(buf));
}
Console.WriteLine("expected: {0}, estimate: {1}, time: {2}", size, hll.Cardinality(), sw.Elapsed);
long estimate = hll.Cardinality();
double err = Math.Abs(estimate - size) / (double)size;
Console.WriteLine("Percentage error: " + err);
Assert.That(err, Is.LessThan(0.1));
}
public void HighCardinalityMergeWithPool()
{
var sw = Stopwatch.StartNew();
var pool = HyperLogLogPlus.CreateMemPool();
var hll = new HyperLogLogPlus(18, 25, pool);
var hll_t = new HyperLogLogPlus(18, 25, pool);
var buf = new byte[8];
const int size = (int)100000;
for (int i = 0; i < size / 100; ++i)
{
var hll3 = new HyperLogLogPlus(18, 25, pool);
for (int j = 0; j < 100; ++j)
{
Rnd.NextBytes(buf);
hll3.OfferHashed(Hash64(buf));
}
hll_t = hll.Merge(hll3);
hll.Dispose();
hll = hll_t;
hll3.Dispose();
}
Console.WriteLine("expected: {0}, estimate: {1}, time: {2}", size, hll.Cardinality(), sw.Elapsed);
long estimate = hll.Cardinality();
double err = Math.Abs(estimate - size) / (double)size;
Console.WriteLine("Percentage error: " + err);
Assert.That(err, Is.LessThan(0.1));
hll.Dispose();
}
public void SmallCardinalityRepeatedInsert()
{
var hll = new HyperLogLogPlus(14, 25);
const int count = 15000;
const int maxAttempts = 200;
for (var i = 0; i < count; i++)
{
var n = Rnd.Next(maxAttempts) + 1;
for (var j = 0; j < n; j++)
{
hll.OfferHashed(Hash64("i" + i));
}
}
long estimate = hll.Cardinality();
double se = count * (1.04 / Math.Sqrt(Math.Pow(2, 14)));
const long expectedCardinality = count;
Console.WriteLine("Expect estimate: {0} is between {1} and {2}", estimate, expectedCardinality - (3 * se),
expectedCardinality + (3 * se));
Assert.That(estimate, Is.GreaterThanOrEqualTo(expectedCardinality - (3 * se)));
Assert.That(estimate, Is.LessThanOrEqualTo(expectedCardinality + (3 * se)));
}
public void MergeSelf_ForceNormal()
{
int[] cardinalities = { 0, 1, 10, 100, 1000, 10000, 100000, 1000000 };
foreach (var cardinality in cardinalities)
{
for (uint j = 4; j < 24; ++j)
{
Console.WriteLine("p=" + j);
var hll = new HyperLogLogPlus(j, 0);
for (var l = 0; l < cardinality; l++)
{
hll.OfferHashed(Hash64(Rnd.Next()));
}
Console.WriteLine("hllcardinality={0} cardinality={1}", hll.Cardinality(), cardinality);
var deserialized = HyperLogLogPlus.FromBytes(hll.ToBytes());
Assert.That(deserialized.Cardinality(), Is.EqualTo(hll.Cardinality()));
var merged = hll.Merge(deserialized);
Console.WriteLine(merged.Cardinality() + " : " + hll.Cardinality());
Assert.That(merged.Cardinality(), Is.EqualTo(hll.Cardinality()));
}
}
}