static void Compute()
{
var size = 200;
var quickFind = new QuickFindUF(size);
var quickUnion = new QuickUnionUF(size);
var weightedQuickUnion = new WeightedQuickUnionUF(size);
var connections = ErdosRenyi.Generate(size);
var quickFindResult = new int[size];
var quickUnionResult = new int[size];
var weightedQuickUnionResult = new int[size];
int p, q;
for (var i = 0; i < size; i++)
{
p = connections[i].P;
q = connections[i].Q;
quickFind.Union(p, q);
quickUnion.Union(p, q);
weightedQuickUnion.Union(p, q);
quickFindResult[i] = quickFind.ArrayVisitCount;
quickUnionResult[i] = quickUnion.ArrayVisitCount;
weightedQuickUnionResult[i] = weightedQuickUnion.ArrayParentVisitCount + weightedQuickUnion.ArraySizeVisitCount;
quickFind.ResetArrayCount();
quickUnion.ResetArrayCount();
weightedQuickUnion.ResetArrayCount();
}
Draw(quickFindResult, "Quick-Find");
Draw(quickUnionResult, "Quick-Union");
Draw(weightedQuickUnionResult, "Weighted Quick-Union");
}
static void Main(string[] args)
{
int N = 10;
int[] edges = new int[5];
for (int i = 0; i < 5; i++)
{
var uf = new UF(N);
Console.WriteLine(N + "\t" + ErdosRenyi.Count(uf));
N *= 10;
}
}
/// <summary>
/// 进行若干次随机试验，输出平均 union 次数，返回平均耗时。
/// </summary>
/// <param name="uf">用于测试的并查集。</param>
/// <param name="connections">用于测试的输入。</param>
/// <returns>平均耗时。</returns>
static long RunTest(UF uf, Connection[] connections)
{
var timer = new Stopwatch();
var repeatTime = 5;
timer.Start();
for (var i = 0; i < repeatTime; i++)
{
ErdosRenyi.Count(uf, connections);
}
timer.Stop();
return(timer.ElapsedMilliseconds / repeatTime);
}
static void Main(string[] args)
{
for (int n = 10; n < 10000; n *= 2)
{
int total = 0;
for (int i = 0; i < 100; i++)
{
UF uf = new UF(n);
total += ErdosRenyi.Count(uf);
}
Console.WriteLine("实验结果：" + total / 100);
Console.WriteLine("1/2NlnN：" + Math.Log(n) * n * 0.5);
Console.WriteLine();
}
}
/// <summary>
/// 进行若干次随机试验，输出平均 union 次数，返回平均耗时。
/// </summary>
/// <param name="uf">用于测试的并查集。</param>
/// <returns>平均耗时。</returns>
static long RunTest(UF uf)
{
Stopwatch timer = new Stopwatch();
int total = 0;
int repeatTime = 10;
timer.Start();
for (int i = 0; i < repeatTime; i++)
{
total += ErdosRenyi.Count(uf);
}
timer.Stop();
Console.WriteLine("平均次数：" + total / repeatTime);
return(timer.ElapsedMilliseconds / repeatTime);
}
static void Main(string[] args)
{
var n = 10000;
for (var t = 0; t < 5; t++)
{
var input = ErdosRenyi.Generate(n);
var weightedQuickUnionUF = new WeightedQuickUnionUF(n);
var weightedQuickUnionPathCompressionUF = new WeightedQuickUnionPathCompressionUF(n);
Console.WriteLine("N:" + n);
var weightedQuickUnionTime = RunTest(weightedQuickUnionUF, input);
var weightedQuickUnionPathCompressionTime = RunTest(weightedQuickUnionPathCompressionUF, input);
Console.WriteLine("加权 quick-find 耗时（毫秒）：" + weightedQuickUnionTime);
Console.WriteLine("带路径压缩的加权 quick-union 耗时（毫秒）：" + weightedQuickUnionPathCompressionTime);
Console.WriteLine("比值：" + (double)weightedQuickUnionTime / weightedQuickUnionPathCompressionTime);
Console.WriteLine();
n *= 2;
}
}
static void Main(string[] args)
{
var n = 2000;
for (var t = 0; t < 5; t++)
{
var input = ErdosRenyi.Generate(n);
var quickFind = new QuickFindUF(n);
var quickUnion = new QuickUnionUF(n);
Console.WriteLine("N:" + n);
var quickFindTime = RunTest(quickFind, input);
var quickUnionTime = RunTest(quickUnion, input);
Console.WriteLine("quick-find 耗时（毫秒）：" + quickFindTime);
Console.WriteLine("quick-union 耗时（毫秒）：" + quickUnionTime);
Console.WriteLine("比值：" + (double)quickFindTime / quickUnionTime);
Console.WriteLine();
n *= 2;
}
}
