public static void RunTest()
{
FixedPointSettings.GlobalDefaultRadix = 10;
FixedPointSettings.GlobalOverflowMode = EOverflowMode.Fail;
SFix s1 = SFix.FromDouble(1.0, 2, 2);
SFix s2 = SFix.FromDouble(-0.75, 2, 2);
SFix s3 = s1 / s2;
Random rnd = new Random();
int n = 10;
int iw = 14;
int fw = 14;
double eps = Math.Pow(2.0, -fw);
SFix[,] A = new SFix[n, n];
double[,] Ad = new double[n, n];
SFix[] b = new SFix[n];
double[] bd = new double[n];
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
double a = 2.0 * rnd.NextDouble() - 1.0;
Ad[i, j] = a;
}
}
//Ad = new double[,] { { 4, -2, 1 }, { -3, -1, 4 }, { 1, -1, 3 } };
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
double a = Ad[i, j];
SFix c = SFix.FromDouble(a, iw, fw);
string cs = c.ToString();
double ar = c.DoubleValue;
double d = a - ar;
double da = Math.Abs(d);
Debug.Assert(da < eps);
A[i, j] = c;
Ad[i, j] = a;
}
double bi = 2.0 * rnd.NextDouble() - 1.0;
b[i] = SFix.FromDouble(bi, 3, 33);
bd[i] = bi;
}
SFix[,] Ac = (SFix[, ])A.Clone();
Console.WriteLine("Original matrix:");
PrintMatrix(A);
Console.WriteLine();
ComputeLU(A, iw, fw);
Console.WriteLine("LU:");
PrintMatrix(A);
Console.WriteLine();
SFix[] x = new SFix[n];
SFix[] y = new SFix[n];
SubstituteLU(A, b, y, x);
Console.WriteLine("Precisions:");
for (int i = 0; i < n; i++)
{
SFix bc = Ac[i, 0] * x[0];
for (int j = 1; j < n; j++)
{
bc += Ac[i, j] * x[j];
}
SFix d = bc - b[i];
Console.Write("b[" + i + "] = " + b[i].ToString(10, 2));
Console.Write(" / " + bc.ToString(10, 2));
Console.WriteLine(" / d = " + d.ToString(10, 2));
}
}