public void TestInvert3()
{
TridiagonalMatrix m = new TridiagonalMatrix(4);
m.Data[0, 0] = 3; m.Data[0, 1] = 2; m.Data[0, 2] = 0; m.Data[0, 3] = 0;
m.Data[1, 0] = 2; m.Data[1, 1] = 5; m.Data[1, 2] = 2; m.Data[1, 3] = 0;
m.Data[2, 0] = 0; m.Data[2, 1] = 2; m.Data[2, 2] = 1; m.Data[2, 3] = 2;
m.Data[3, 0] = 0; m.Data[3, 1] = 0; m.Data[3, 2] = 2; m.Data[3, 3] = 7;
m.Invert();
// Check data.
Assert.AreEqual(1, m.Data[0, 0]);
Assert.AreEqual(0, m.Data[0, 1]);
Assert.AreEqual(0, m.Data[0, 2]);
Assert.AreEqual(0, m.Data[0, 3]);
Assert.AreEqual(0, m.Data[1, 0]);
Assert.AreEqual(1, m.Data[1, 1]);
Assert.AreEqual(0, m.Data[1, 2]);
Assert.AreEqual(0, m.Data[1, 3]);
Assert.AreEqual(0, m.Data[2, 0]);
Assert.AreEqual(0, m.Data[2, 1]);
Assert.AreEqual(1, m.Data[2, 2]);
Assert.AreEqual(0, m.Data[2, 3]);
Assert.AreEqual(0, m.Data[3, 0]);
Assert.AreEqual(0, m.Data[3, 1]);
Assert.AreEqual(0, m.Data[3, 2]);
Assert.AreEqual(1, m.Data[3, 3]);
// Check inverse.
Assert.AreEqual(new Fraction(13, 51), m.Inverse[0, 0]);
Assert.AreEqual(new Fraction(2, 17), m.Inverse[0, 1]);
Assert.AreEqual(new Fraction(-28, 51), m.Inverse[0, 2]);
Assert.AreEqual(new Fraction(8, 51), m.Inverse[0, 3]);
Assert.AreEqual(new Fraction(2, 17), m.Inverse[1, 0]);
Assert.AreEqual(new Fraction(-3, 17), m.Inverse[1, 1]);
Assert.AreEqual(new Fraction(14, 17), m.Inverse[1, 2]);
Assert.AreEqual(new Fraction(-4, 17), m.Inverse[1, 3]);
Assert.AreEqual(new Fraction(-28, 51), m.Inverse[2, 0]);
Assert.AreEqual(new Fraction(14, 17), m.Inverse[2, 1]);
Assert.AreEqual(new Fraction(-77, 51), m.Inverse[2, 2]);
Assert.AreEqual(new Fraction(22, 51), m.Inverse[2, 3]);
Assert.AreEqual(new Fraction(8, 51), m.Inverse[3, 0]);
Assert.AreEqual(new Fraction(-4, 17), m.Inverse[3, 1]);
Assert.AreEqual(new Fraction(22, 51), m.Inverse[3, 2]);
Assert.AreEqual(new Fraction(1, 51), m.Inverse[3, 3]);
}
public void TestInvert4()
{
TridiagonalMatrix m = new TridiagonalMatrix(4);
m.Data[0, 0] = 2; m.Data[0, 1] = 1; m.Data[0, 2] = 0; m.Data[0, 3] = 0;
m.Data[1, 0] = 1; m.Data[1, 1] = 4; m.Data[1, 2] = 1; m.Data[1, 3] = 0;
m.Data[2, 0] = 0; m.Data[2, 1] = 1; m.Data[2, 2] = 4; m.Data[2, 3] = 1;
m.Data[3, 0] = 0; m.Data[3, 1] = 0; m.Data[3, 2] = 1; m.Data[3, 3] = 2;
m.Invert();
// Check data.
Assert.AreEqual(1, m.Data[0, 0]);
Assert.AreEqual(0, m.Data[0, 1]);
Assert.AreEqual(0, m.Data[0, 2]);
Assert.AreEqual(0, m.Data[0, 3]);
Assert.AreEqual(0, m.Data[1, 0]);
Assert.AreEqual(1, m.Data[1, 1]);
Assert.AreEqual(0, m.Data[1, 2]);
Assert.AreEqual(0, m.Data[1, 3]);
Assert.AreEqual(0, m.Data[2, 0]);
Assert.AreEqual(0, m.Data[2, 1]);
Assert.AreEqual(1, m.Data[2, 2]);
Assert.AreEqual(0, m.Data[2, 3]);
Assert.AreEqual(0, m.Data[3, 0]);
Assert.AreEqual(0, m.Data[3, 1]);
Assert.AreEqual(0, m.Data[3, 2]);
Assert.AreEqual(1, m.Data[3, 3]);
// Check inverse.
Assert.AreEqual(new Fraction(26, 45), m.Inverse[0, 0]);
Assert.AreEqual(new Fraction(-7, 45), m.Inverse[0, 1]);
Assert.AreEqual(new Fraction(2, 45), m.Inverse[0, 2]);
Assert.AreEqual(new Fraction(-1, 45), m.Inverse[0, 3]);
Assert.AreEqual(new Fraction(-7, 45), m.Inverse[1, 0]);
Assert.AreEqual(new Fraction(14, 45), m.Inverse[1, 1]);
Assert.AreEqual(new Fraction(-4, 45), m.Inverse[1, 2]);
Assert.AreEqual(new Fraction(2, 45), m.Inverse[1, 3]);
Assert.AreEqual(new Fraction(2, 45), m.Inverse[2, 0]);
Assert.AreEqual(new Fraction(-4, 45), m.Inverse[2, 1]);
Assert.AreEqual(new Fraction(14, 45), m.Inverse[2, 2]);
Assert.AreEqual(new Fraction(-7, 45), m.Inverse[2, 3]);
Assert.AreEqual(new Fraction(-1, 45), m.Inverse[3, 0]);
Assert.AreEqual(new Fraction(2, 45), m.Inverse[3, 1]);
Assert.AreEqual(new Fraction(-7, 45), m.Inverse[3, 2]);
Assert.AreEqual(new Fraction(26, 45), m.Inverse[3, 3]);
}
public void TestInvert1()
{
TridiagonalMatrix m = new TridiagonalMatrix(2);
m.Data[0, 0] = 2;
m.Data[0, 1] = 1;
m.Data[1, 0] = 1;
m.Data[1, 1] = 4;
m.Invert();
// Check data.
Assert.AreEqual(1, m.Data[0, 0]);
Assert.AreEqual(0, m.Data[0, 1]);
Assert.AreEqual(0, m.Data[1, 0]);
Assert.AreEqual(1, m.Data[1, 1]);
// Check inverse.
Assert.AreEqual(new Fraction(256, 448), m.Inverse[0, 0]);
Assert.AreEqual(new Fraction(-64, 448), m.Inverse[0, 1]);
Assert.AreEqual(new Fraction(-2, 14), m.Inverse[1, 0]);
Assert.AreEqual(new Fraction(4, 14), m.Inverse[1, 1]);
}
public void TestInvert2()
{
TridiagonalMatrix m = new TridiagonalMatrix(3);
m.Data[0, 0] = 2; m.Data[0, 1] = 1; m.Data[0, 2] = 0;
m.Data[1, 0] = 1; m.Data[1, 1] = 4; m.Data[1, 2] = 1;
m.Data[2, 0] = 0; m.Data[2, 1] = 1; m.Data[2, 2] = 2;
m.Invert();
// Check data.
Assert.AreEqual(1, m.Data[0, 0]);
Assert.AreEqual(0, m.Data[0, 1]);
Assert.AreEqual(0, m.Data[0, 2]);
Assert.AreEqual(0, m.Data[1, 0]);
Assert.AreEqual(1, m.Data[1, 1]);
Assert.AreEqual(0, m.Data[1, 2]);
Assert.AreEqual(0, m.Data[2, 0]);
Assert.AreEqual(0, m.Data[2, 1]);
Assert.AreEqual(1, m.Data[2, 2]);
// Check inverse.
Assert.AreEqual(new Fraction(7, 12), m.Inverse[0, 0]);
Assert.AreEqual(new Fraction(-1, 6), m.Inverse[0, 1]);
Assert.AreEqual(new Fraction(1, 12), m.Inverse[0, 2]);
Assert.AreEqual(new Fraction(-1, 6), m.Inverse[1, 0]);
Assert.AreEqual(new Fraction(1, 3), m.Inverse[1, 1]);
Assert.AreEqual(new Fraction(-1, 6), m.Inverse[1, 2]);
Assert.AreEqual(new Fraction(1, 12), m.Inverse[2, 0]);
Assert.AreEqual(new Fraction(-1, 6), m.Inverse[2, 1]);
Assert.AreEqual(new Fraction(7, 12), m.Inverse[2, 2]);
}