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Ingy döt Net 2023-07-01 11:58:00 -04:00
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commit f23f22d71c
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Task/Problem-of-Apollonius/C-sharp/problem-of-apollonius.cs Normal file
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using System;
namespace ApolloniusProblemCalc
{
class Program
{
static float rs = 0;
static float xs = 0;
static float ys = 0;
public static void Main(string[] args)
{
float gx1;
float gy1;
float gr1;
float gx2;
float gy2;
float gr2;
float gx3;
float gy3;
float gr3;
//----------Enter values for the given circles here----------
gx1 = 0;
gy1 = 0;
gr1 = 1;
gx2 = 4;
gy2 = 0;
gr2 = 1;
gx3 = 2;
gy3 = 4;
gr3 = 2;
//-----------------------------------------------------------
for (int i = 1; i <= 8; i++)
{
SolveTheApollonius(i, gx1, gy1, gr1, gx2, gy2, gr2, gx3, gy3, gr3);
if (i == 1)
{
Console.WriteLine("X of point of the " + i + "st solution: " + xs.ToString());
Console.WriteLine("Y of point of the " + i + "st solution: " + ys.ToString());
Console.WriteLine(i + "st Solution circle's radius: " + rs.ToString());
}
else if (i == 2)
{
Console.WriteLine("X of point of the " + i + "ed solution: " + xs.ToString());
Console.WriteLine("Y of point of the " + i + "ed solution: " + ys.ToString());
Console.WriteLine(i + "ed Solution circle's radius: " + rs.ToString());
}
else if(i == 3)
{
Console.WriteLine("X of point of the " + i + "rd solution: " + xs.ToString());
Console.WriteLine("Y of point of the " + i + "rd solution: " + ys.ToString());
Console.WriteLine(i + "rd Solution circle's radius: " + rs.ToString());
}
else
{
Console.WriteLine("X of point of the " + i + "th solution: " + xs.ToString());
Console.WriteLine("Y of point of the " + i + "th solution: " + ys.ToString());
Console.WriteLine(i + "th Solution circle's radius: " + rs.ToString());
}
Console.WriteLine();
}
Console.ReadKey(true);
}
private static void SolveTheApollonius(int calcCounter, float x1, float y1, float r1, float x2, float y2, float r2, float x3, float y3, float r3)
{
float s1 = 1;
float s2 = 1;
float s3 = 1;
if (calcCounter == 2)
{
s1 = -1;
s2 = -1;
s3 = -1;
}
else if (calcCounter == 3)
{
s1 = 1;
s2 = -1;
s3 = -1;
}
else if (calcCounter == 4)
{
s1 = -1;
s2 = 1;
s3 = -1;
}
else if (calcCounter == 5)
{
s1 = -1;
s2 = -1;
s3 = 1;
}
else if (calcCounter == 6)
{
s1 = 1;
s2 = 1;
s3 = -1;
}
else if (calcCounter == 7)
{
s1 = -1;
s2 = 1;
s3 = 1;
}
else if (calcCounter == 8)
{
s1 = 1;
s2 = -1;
s3 = 1;
}
//This calculation to solve for the solution circles is cited from the Java version
float v11 = 2 * x2 - 2 * x1;
float v12 = 2 * y2 - 2 * y1;
float v13 = x1 * x1 - x2 * x2 + y1 * y1 - y2 * y2 - r1 * r1 + r2 * r2;
float v14 = 2 * s2 * r2 - 2 * s1 * r1;
float v21 = 2 * x3 - 2 * x2;
float v22 = 2 * y3 - 2 * y2;
float v23 = x2 * x2 - x3 * x3 + y2 * y2 - y3 * y3 - r2 * r2 + r3 * r3;
float v24 = 2 * s3 * r3 - 2 * s2 * r2;
float w12 = v12 / v11;
float w13 = v13 / v11;
float w14 = v14 / v11;
float w22 = v22 / v21 - w12;
float w23 = v23 / v21 - w13;
float w24 = v24 / v21 - w14;
float P = -w23 / w22;
float Q = w24 / w22;
float M = -w12 * P - w13;
float N = w14 - w12 * Q;
float a = N * N + Q * Q - 1;
float b = 2 * M * N - 2 * N * x1 + 2 * P * Q - 2 * Q * y1 + 2 * s1 * r1;
float c = x1 * x1 + M * M - 2 * M * x1 + P * P + y1 * y1 - 2 * P * y1 - r1 * r1;
float D = b * b - 4 * a * c;
rs = (-b - float.Parse(Math.Sqrt(D).ToString())) / (2 * float.Parse(a.ToString()));
xs = M + N * rs;
ys = P + Q * rs;
}
}
}