public static void Main(string[] args)
{
//function for calculating the sum of the hashvalue for x's in a stream
ulong checkHashSum(IEnumerable <Tuple <ulong, int> > streeem, IHashFunction hash)
{
ulong sum = 0UL;
foreach (var element in streeem)
{
ulong x = element.Item1;
sum += (ulong)hash.getvalue(x);
}
return(sum);
}
int l = 12;
int n = 4 * (int)Math.Pow(2, l);
ulong a = 13459550533363289979UL;
BigInteger ab = BigInteger.Parse("455661459950917187559983225");
BigInteger bb = BigInteger.Parse("99118367276030210930124383");
multipleShift shiftHash = new multipleShift(a, l);
multipleModPrime modPrimeHash = new multipleModPrime(ab, bb, l);
Console.WriteLine(" ----Opgave 1------\n ");
Stopwatch timer = new Stopwatch();
timer.Start();
timer.Stop();
List <int> nstørrelse = new List <int>();
List <double> realtivtid = new List <double>();
for (int i = 2; i < 3; i = i + 50)
{
int ntest = i * (int)Math.Pow(2, l);
nstørrelse.Add(ntest);
var stream = CreateStream.DoCreateStream(ntest, l);
timer.Restart();
Console.WriteLine(checkHashSum(stream, shiftHash));
timer.Stop();
double shiftest1 = timer.Elapsed.TotalMilliseconds;
//Debug.WriteLine("shifttest Time Taken: " + timer.Elapsed.TotalMilliseconds.ToString("#,##0.00 'milliseconds'"));
timer.Restart();
Console.WriteLine(checkHashSum(stream, modPrimeHash));
timer.Stop();
double modprimetest1 = timer.Elapsed.TotalMilliseconds;
//Debug.WriteLine("modPrimeTest Time Taken: " + timer.Elapsed.TotalMilliseconds.ToString("#,##0.00 'milliseconds'"));
Console.WriteLine("n: " + ntest + " i: " + i);
Console.WriteLine("Shift hashvalue hastighed: " + (shiftest1 / ntest) + " milliseconds pr x" +
"\nModPrime hashvalue hastighed: " + (modprimetest1 / ntest) + " milliseconds pr x");
Console.WriteLine("Den reeele tidsforskel: " + (shiftest1 - modprimetest1));
Console.WriteLine("Den relative hastighedsforskel: " + (modprimetest1 / shiftest1) + "\n");
realtivtid.Add((modprimetest1 / shiftest1));
}
Console.WriteLine("n'erne: \n");
nstørrelse.ForEach(i => Console.Write("{0}\n", i));
Console.WriteLine("relativ hastighedsforskel: \n");
realtivtid.ForEach(i => Console.Write("{0}\n", i));
/*
* Opgave 3 udregning af kvadratsummer
* 1) Forskellige nøgler blandt x.
*/
//list for readable output
List <Tuple <int, double, double, double, double, double, double> > Runningtime = new List <Tuple <int, double, double, double, double, double, double> >();
int nn = 3000000; //4 * il;
for (int i = 1; i < 22; i++)
{
int il = 1 << i;
multipleShift shiftHash2 = new multipleShift(a, i);
multipleModPrime modPrimeHash2 = new multipleModPrime(ab, bb, i);
var stream2 = CreateStream.DoCreateStream(nn, i);
hashingChain ShiftHashtable = new hashingChain(i, shiftHash2);
//timing only the increment part of the code
timer.Restart();
foreach (var element in stream2)
{
ulong x = element.Item1;
int d = element.Item2;
ShiftHashtable.increment(x, d);
}
timer.Stop();
double shiftTabletime = timer.Elapsed.TotalMilliseconds;
hashingChain ModPrimeHashtable = new hashingChain(i, modPrimeHash2);
//timing only the increment part of the code
timer.Restart();
foreach (var element in stream2)
{
ulong x = element.Item1;
int d = element.Item2;
ModPrimeHashtable.increment(x, d);
}
timer.Stop();
double modprimeTabletime = timer.Elapsed.TotalMilliseconds;
//for analysis of the result, we calculate the actual number of empty entries in the hashtables
int emptylistShift = 0;
int emptylistModPrime = 0;
int maxShift = 0;
int maxMod = 0;
for (int m = 0; m < (int)ShiftHashtable.count(); m++)
{
int tjek = ShiftHashtable.subcount(m);
int tjek2 = ModPrimeHashtable.subcount(m);
if (tjek == 0)
{
emptylistShift += 1;
}
if (tjek2 == 0)
{
emptylistModPrime += 1;
}
if (tjek > maxShift)
{
maxShift = tjek;
}
if (tjek2 > maxMod)
{
maxMod = tjek2;
}
}
double actualemptyshift = Math.Round(emptylistShift / (double)ShiftHashtable.count(), 2, MidpointRounding.AwayFromZero);
double actualemptyMP = Math.Round(emptylistModPrime / (double)ModPrimeHashtable.count(), 2, MidpointRounding.AwayFromZero);
double expectedemptyShift = Math.Round((ShiftHashtable.expectedEmptyShift(il) / (double)ShiftHashtable.count()), 2, MidpointRounding.AwayFromZero);
//ongoing console output - it is nice to follow the stream
Console.WriteLine("Time to create Hashtable with l = " + i + " and n = " + nn + " unique x's: " + il +
"\nTime With Multiple Shift: " + shiftTabletime +
"\nEmptyness in hashtable: " + actualemptyshift * 100 + "%" +
"\nExpected Shift Emptyness: " + (expectedemptyShift * 100) + "%" +
"\nLargest numbers in same entry: " + maxShift +
"\nTime With Multiple ModPrime: " + modprimeTabletime +
"\nEmptyness in hashtable: " + actualemptyMP * 100 + "%" +
"\nLargest numbers in same entry: " + maxMod +
"\n");
//Calculating the "kvadratsum" - not using the number
int S = ShiftHashtable.KvadratSum();
Console.WriteLine("Kvadratsummen, med Shift: " + S);
int S2 = ModPrimeHashtable.KvadratSum();
Console.WriteLine("Kvadratsummen, med Mod Prime: " + S2);
//caculating difference in time
double difference = Math.Round((shiftTabletime - modprimeTabletime), 2, MidpointRounding.AwayFromZero);
double relativedif = Math.Round((modprimeTabletime / shiftTabletime), 2, MidpointRounding.AwayFromZero);
Tuple <int, double, double, double, double, double, double> timestamp = Tuple.Create(i, shiftTabletime, modprimeTabletime, difference, relativedif, actualemptyshift, actualemptyMP);
Runningtime.Add(timestamp);
Console.WriteLine("\n-----------------------------------------\n");
}
Console.WriteLine("l value " + " time Shift " + " time ModPrime " + " difference " + " relativ diff " + " empty Shift " + " empty ModPrime \n");
//making output to copy-paste into Latex
for (int i = 0; i < Runningtime.Count; i++)
{
Console.WriteLine(Runningtime[i].Item1 + " & " + Runningtime[i].Item2 + " & " + Runningtime[i].Item3 +
" & " + Runningtime[i].Item4 + " & " + Runningtime[i].Item5 + " & " + (Runningtime[i].Item6 * 100) +
@"\%" + " & " + (Runningtime[i].Item7 * 100) + @"\%" + @" \\ \hline");
}
/* The following code is just to test if the table is consistent, if runned 100 times.
* it shouldn't be runned ever again (takes forever)
* double sum12 = 0;
* for (int i = 0; i < 100; i++) {
* multipleShift shiftHash3 = new multipleShift(a, 12);
* multipleModPrime modPrimeHash3 = new multipleModPrime(ab, bb, 12);
* var stream3 = CreateStream.DoCreateStream(nn, 12);
* timer.Restart();
* hashingChain ShiftHashtable2 = new hashingChain(12, shiftHash3);
* foreach (var element in stream3)
* {
* ulong x = element.Item1;
* int d = element.Item2;
* ShiftHashtable2.increment(x, d);
* }
* timer.Stop();
* double shiftTabletime2 = timer.Elapsed.TotalMilliseconds;
* //timing only the increment part of the code
* timer.Restart();
* hashingChain ModPrimeHashtable2 = new hashingChain(14, modPrimeHash3);
* foreach (var element in stream3)
* {
* ulong x = element.Item1;
* int d = element.Item2;
* ModPrimeHashtable2.increment(x, d);
* }
* timer.Stop();
* double modprimeTabletime2 = timer.Elapsed.TotalMilliseconds;
* int S = ShiftHashtable2.KvadratSum();
* Console.WriteLine("Kvadratsummen, med Shift: " + S);
* int S2 = ModPrimeHashtable2.KvadratSum();
* Console.WriteLine("Kvadratsummen, med Mod Prime: " + S2);
* double relativedif2 = Math.Round((modprimeTabletime2 / shiftTabletime2), 2, MidpointRounding.AwayFromZero);
* sum12 += relativedif2;
* }
* Console.WriteLine("gennemsnit 12 l: " + sum12/100);
* double sum20 = 0;
* for (int i = 0; i < 100; i++)
* {
* multipleShift shiftHash3 = new multipleShift(a, 20);
* multipleModPrime modPrimeHash3 = new multipleModPrime(ab, bb, 20);
* var stream3 = CreateStream.DoCreateStream(nn, 20);
* timer.Restart();
* hashingChain ShiftHashtable2 = new hashingChain(20, shiftHash3);
* foreach (var element in stream3)
* {
* ulong x = element.Item1;
* int d = element.Item2;
* ShiftHashtable2.increment(x, d);
* }
* timer.Stop();
* double shiftTabletime2 = timer.Elapsed.TotalMilliseconds;
* //timing only the increment part of the code
* timer.Restart();
* hashingChain ModPrimeHashtable2 = new hashingChain(20, modPrimeHash3);
* foreach (var element in stream3)
* {
* ulong x = element.Item1;
* int d = element.Item2;
* ModPrimeHashtable2.increment(x, d);
* }
* timer.Stop();
* double modprimeTabletime2 = timer.Elapsed.TotalMilliseconds;
* int S = ShiftHashtable2.KvadratSum();
* Console.WriteLine("Kvadratsummen, med Shift: " + S);
* int S2 = ModPrimeHashtable2.KvadratSum();
* Console.WriteLine("Kvadratsummen, med Mod Prime: " + S2);
* double relativedif2 = Math.Round((modprimeTabletime2 / shiftTabletime2), 2, MidpointRounding.AwayFromZero);
* sum20 += relativedif2;
* }
* Console.WriteLine("gennemsnit 20 l: " + sum20 / 100);
*/
Console.WriteLine("\n\n-----COUNT SKETCH------\n\n");
BigInteger getrandom89bits()
{
var rand = new Random();
var bytes = new byte[12];
rand.NextBytes(bytes);
byte val = 128;
int byten = bytes[11];
bytes[11] = (byte)(byten & val);
BigInteger bigint = new BigInteger(bytes);
return(bigint);
}
int lc = 12;
int nc = 4 * (int)Math.Pow(2, lc);
int t = 4;
var streamForCountSketch = CreateStream.DoCreateStream(100000, 15);
for (int i = 0; i < 1; i++)
{
Console.WriteLine("\nexperiment no: " + i);
BigInteger a0 = getrandom89bits();
BigInteger a1 = getrandom89bits();
BigInteger a2 = getrandom89bits();
BigInteger a3 = getrandom89bits();
multipleShift shiftHashForCS = new multipleShift(a, 15);
multipleModPrime modPrimeHashForCS = new multipleModPrime(ab, bb, 15);
Console.WriteLine(checkHashSum(streamForCountSketch, shiftHashForCS));
Console.WriteLine(checkHashSum(streamForCountSketch, modPrimeHashForCS));
FouruHash g = new FouruHash(a0, a1, a2, a3);
DoubleHash sh = new DoubleHash(g, t);
CountSketch Cs = new CountSketch(sh);
foreach (Tuple <ulong, int> elm in streamForCountSketch)
{
Cs.Process(elm.Item1, elm.Item2);
}
ulong ex = Cs.EstimateS();
Console.WriteLine("Estimator X: " + ex);
}
}
public CountSketch(DoubleHash hs)
{
_hs = hs;
k = hs.m;
C = new long[k];
}