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TDMAbyA.Bupdated.cs
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TDMAbyA.Bupdated.cs
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using System;
namespace TriDiagonalMatrixAlgorithm
{
class TDMA
{
static void Main(string[] args)
{
Console.WriteLine(@"The Tridiagnal Matrix is of the format below:
A * B = C
_ _ _ _ _ _
|a b 0 ... 0 0| | T1 | | e1 |
|c d e ... 0 0| | T2 | | e2 |
|. . . . . .| | . | | . |
|. . . . . .| | . | = | . |
|. . . . . .| | . | | . |
|0 0 0 . f g| | Tn | | en |
|-- --| |- -| |- -|
");
Console.Write("\nEnter the size of the matrix or number of unknowns (n): ");
int n = int.Parse(Console.ReadLine());
double[] equivalentMatrix = new double[n];
double[,] reducedMatrix = new double[n, 3];
if (n==3)
{
Console.WriteLine(@"
_ _ _ _ _ _
| a b 0| | T1 | | e1 |
| c d e| | T2 | = | e2 |
| 0 f g| | T3 | | e3 |
|-- --| | - -| |- -|");
Console.WriteLine("\nEnter all matrix value below as indicatred by the matrix above: ");
Console.Write("a: ");
double a = double.Parse(Console.ReadLine());
reducedMatrix[0, 1] = a;
Console.Write("b: ");
double b = double.Parse(Console.ReadLine());
reducedMatrix[0, 2] = b;
Console.Write("c: ");
double c = double.Parse(Console.ReadLine());
reducedMatrix[1, 0] = c;
Console.Write("d: ");
double d = double.Parse(Console.ReadLine());
reducedMatrix[1, 1] = d;
Console.Write("e: ");
double e = double.Parse(Console.ReadLine());
reducedMatrix[1, 2] = e;
Console.Write("f: ");
double f = double.Parse(Console.ReadLine());
reducedMatrix[2, 0] = f;
Console.Write("g: ");
double g = double.Parse(Console.ReadLine());
reducedMatrix[2, 1] = g;
for (int y = 0; y < n; y++)
{
Console.Write("Enter e{0}: ", (y + 1));
equivalentMatrix[y] = double.Parse(Console.ReadLine());
}
}
else if (n==4)
{
Console.WriteLine(@"
_ _ _ _ _ _
| a b 0 0| | T1 | | e1 |
| c d e 0| | T2 | | e2 |
| 0 f g h| | T3 | = | e3 |
| 0 0 i j| | T4 | | e4 |
|-- --| | - -| |- -|");
Console.WriteLine("\nEnter all matrix value below as indicatred by the matrix above: ");
Console.Write("a: ");
double a = double.Parse(Console.ReadLine());
reducedMatrix[0, 1] = a;
Console.Write("b: ");
double b = double.Parse(Console.ReadLine());
reducedMatrix[0, 2] = b;
Console.Write("c: ");
double c = double.Parse(Console.ReadLine());
reducedMatrix[1, 0] = c;
Console.Write("d: ");
double d = double.Parse(Console.ReadLine());
reducedMatrix[1, 1] = d;
Console.Write("e: ");
double e = double.Parse(Console.ReadLine());
reducedMatrix[1, 2] = e;
Console.Write("f: ");
double f = double.Parse(Console.ReadLine());
reducedMatrix[2, 0] = f;
Console.Write("g: ");
double g = double.Parse(Console.ReadLine());
reducedMatrix[2, 1] = g;
Console.Write("h: ");
double h = double.Parse(Console.ReadLine());
reducedMatrix[2, 2] = h;
Console.Write("i: ");
double i = double.Parse(Console.ReadLine());
reducedMatrix[3, 0] = i;
Console.Write("j: ");
double j = double.Parse(Console.ReadLine());
reducedMatrix[3, 1] = j;
for (int y = 0; y < n; y++)
{
Console.Write("Enter e{0}: ", (y + 1));
equivalentMatrix[y] = double.Parse(Console.ReadLine());
}
}
else if (n == 5)
{
Console.WriteLine(@"
_ _ _ _ _ _
| a b 0 0 0| | T1 | | e1 |
| c d e 0 0| | T2 | | e2 |
| 0 f g h 0| | T3 | = | e3 |
| 0 0 i j k| | T4 | | e4 |
| 0 0 0 l m| | T5 | | e5 |
|-- --| | - -| |- -|");
Console.WriteLine("\nEnter all matrix value below as indicatred by the matrix above: ");
Console.Write("a: ");
double a = double.Parse(Console.ReadLine());
reducedMatrix[0, 1] = a;
Console.Write("b: ");
double b = double.Parse(Console.ReadLine());
reducedMatrix[0, 2] = b;
Console.Write("c: ");
double c = double.Parse(Console.ReadLine());
reducedMatrix[1, 0] = c;
Console.Write("d: ");
double d = double.Parse(Console.ReadLine());
reducedMatrix[1, 1] = d;
Console.Write("e: ");
double e = double.Parse(Console.ReadLine());
reducedMatrix[1, 2] = e;
Console.Write("f: ");
double f = double.Parse(Console.ReadLine());
reducedMatrix[2, 0] = f;
Console.Write("g: ");
double g = double.Parse(Console.ReadLine());
reducedMatrix[2, 1] = g;
Console.Write("h: ");
double h = double.Parse(Console.ReadLine());
reducedMatrix[2, 2] = h;
Console.Write("i: ");
double i = double.Parse(Console.ReadLine());
reducedMatrix[3, 0] = i;
Console.Write("j: ");
double j = double.Parse(Console.ReadLine());
reducedMatrix[3, 1] = j;
Console.Write("k: ");
double k = double.Parse(Console.ReadLine());
reducedMatrix[3, 2] = k;
Console.Write("l: ");
double l = double.Parse(Console.ReadLine());
reducedMatrix[4, 0] = l;
Console.Write("m: ");
double m = double.Parse(Console.ReadLine());
reducedMatrix[4, 1] = m;
for (int y = 0; y < n; y++)
{
Console.Write("Enter e{0}: ", (y + 1));
equivalentMatrix[y] = double.Parse(Console.ReadLine());
}
}
else
{
Console.WriteLine("\nEnter all matrix value below as indicatred by the matrix above: ");
Console.Write("a: ");
double a = double.Parse(Console.ReadLine());
reducedMatrix[0, 1] = a;
Console.Write("b: ");
double b = double.Parse(Console.ReadLine());
reducedMatrix[0, 2] = b;
Console.Write("c: ");
double c = double.Parse(Console.ReadLine());
for (int y = 1; y < n - 1; y++)
{
reducedMatrix[y, 0] = c;
}
Console.Write("d: ");
double d = double.Parse(Console.ReadLine());
for (int y = 1; y < n - 1; y++)
{
reducedMatrix[y, 1] = d;
}
Console.Write("e: ");
double e = double.Parse(Console.ReadLine());
for (int y = 1; y < n - 1; y++)
{
reducedMatrix[y, 2] = e;
}
Console.Write("f: ");
double f = double.Parse(Console.ReadLine());
reducedMatrix[n - 1, 0] = f;
Console.Write("g: ");
double g = double.Parse(Console.ReadLine());
reducedMatrix[n - 1, 1] = g;
Console.WriteLine("\nAre there repetitive values between first and last elements of matrix C? ");
Console.Write("Answer (yes/no): ");
string reply = Console.ReadLine().ToLower();
if (reply == "yes" || reply == "y")
{
Console.Write("e1: ");
double r = double.Parse(Console.ReadLine());
equivalentMatrix[0] = r;
Console.Write("e2: ");
double h = double.Parse(Console.ReadLine());
for (int y = 1; y < n - 1; y++)
{
equivalentMatrix[y] = h;
}
Console.Write("en: ");
double i = double.Parse(Console.ReadLine());
equivalentMatrix[n - 1] = i;
}
else if (reply == "no" || reply == "n")
{
for (int y = 0; y < n; y++)
{
Console.Write("Enter e{0}: ", (y + 1));
equivalentMatrix[y] = double.Parse(Console.ReadLine());
}
}
}
reducedMatrix[0, 0] = 0.0;
reducedMatrix[n - 1, 2] = 0.0;
reducedMatrix[0, 2] = reducedMatrix[0, 2] / reducedMatrix[0, 1];
equivalentMatrix[0] = equivalentMatrix[0] / reducedMatrix[0, 1];
reducedMatrix[0, 1] = 1.0;
for (int y = 1; y < n ; y++)
{
reducedMatrix[y, 1] = reducedMatrix[y, 1] - (reducedMatrix[y, 0] * reducedMatrix[y-1, 2]);
equivalentMatrix[y] = equivalentMatrix[y] - (reducedMatrix[y, 0] * equivalentMatrix[y-1]);
equivalentMatrix[y] = equivalentMatrix[y] / reducedMatrix[y, 1];
reducedMatrix[y, 2] = reducedMatrix[y, 2] / reducedMatrix[y, 1];
reducedMatrix[y, 0] = 0.0;
reducedMatrix[y, 1] = 1.0;
}
double[] results = new double[n];
results[n - 1] = equivalentMatrix[n - 1];
for (int y = n-2; y >= 0; y--)
{
results[y] = equivalentMatrix[y] - (results[y + 1] * reducedMatrix[y, 2]);
}
Console.WriteLine("\n\nResults");
for (int y = 0; y < n; y++)
{
Console.WriteLine("T{0} = {1}", (y+1), results[y]);
}
}
static void Print1dMatrix(double[] print)
{
for (int u = 0; u < print.Length; u++)
{
Console.WriteLine("{0}", print[u]);
}
}
static void Print2dMatrix(double[,] print)
{
for (int u = 0; u < print.GetLength(0); u++)
{
for (int v = 0; v < 3; v++)
{
Console.Write("{0} ", print[u,v]);
}
Console.WriteLine(" ");
}
}
}
}