@Test
public void solve_LR_zeroInside() {
final Matrix A =
new Matrix(new double[][] {{0, 3, 2, 1}, {3, 6, 4, 2}, {2, 4, 6, 3}, {1, 2, 3, 4}});
final Matrix B = new Matrix(new double[] {3, 6, 4, 7}, 4, 1, true);
// calculate solution-vector
A.solveLR(B);
}
@Test(expected = IllegalArgumentException.class)
public void solve_LR_Matrix_wrongInput() {
// create one matrix
final Matrix A = new Matrix(new double[][] {{7.0, 6.0}, {5.0, 4.0}, {3.0, 2.0}});
// create third correct matrices
final Matrix B =
new Matrix(new double[][] {{67.0, 54.0, 41.0, 28.0}, {47.0, 38.0, 29.0, 20.0}});
// calculate solution-vector
A.solveLR(B);
}
@Test
public void solve_LR_Matrix() {
final Matrix A = new Matrix(new double[][] {{2, -1, -3}, {-1, 2, 4}, {-3, 4, 9}});
final Matrix Copy = A.copy();
final Matrix Sol = new Matrix(new double[][] {{8, 9}, {-3, 5}, {2, 1}});
final Matrix B = new Matrix(new double[][] {{13, 10}, {-6, 5}, {-18, 2}});
// calculate solution-vector
final Matrix X = A.solveLR(B);
assertTrue(equals(X, Sol));
assertTrue(equals(A, Copy));
}
@Test(expected = IllegalArgumentException.class)
public void solve_LR_wrongMatrix() {
// create matrix
final Matrix A =
new Matrix(
new double[][] {
{4, 3, 2, 1}, {3, 6, 4, 2}, {2, 4, 6, 3},
});
// create vector
final Matrix B = new Matrix(new double[] {3, 6, 4, 7}, 4, 1, true);
// calculate solution-vector
A.solveLR(B);
}
@Test
public void solve_LR_success_OneLine() {
final Matrix A =
new Matrix(new double[][] {{4, 3, 2, 1}, {3, 6, 4, 2}, {2, 4, 6, 3}, {1, 2, 3, 4}});
final Matrix Copy = A.copy();
final Matrix B = new Matrix(new double[] {3, 6, 4, 7}, 4, 1, true);
final Matrix Sol = new Matrix(new double[] {0, 1, -1, 2}, 4, 1, true);
// calculate solution-vector
final Matrix X = A.solveLR(B);
// compare
assertTrue(equals(X, Sol));
assertTrue(equals(A, Copy));
}
@Test
public void solve_LR_success() {
// create matrix
final Matrix A =
new Matrix(new double[][] {{2, -1, -3, 3}, {4, 0, -3, 1}, {6, 1, -1, 6}, {-2, -5, 4, 1}});
final Matrix Copy = A.copy();
// create vector
final Matrix B = new Matrix(new double[] {1, -8, -16, -12}, 4, 1, true);
// set solution-vector
final Matrix Sol = new Matrix(new double[] {-4.5, 2, -3, 1}, 4, 1, true);
// calculate solution-vector
final Matrix X = A.solveLR(B);
// compare
assertTrue(equals(A, Copy));
assertTrue(equals(X, Sol));
}
@Test
public void compare_Jama_Matrix() {
final Matrix M_A =
new Matrix(new double[][] {{4, 3, 2, 1}, {3, 6, 4, 2}, {2, 4, 6, 3}, {1, 2, 3, 4}});
final Matrix M_B = new Matrix(new double[] {3, 6, 4, 7}, 4, 1, true);
final Matrix M_Sol = new Matrix(new double[] {0, 1, -1, 2}, 4, 1, true);
final Jama.Matrix J_A =
new Jama.Matrix(new double[][] {{4, 3, 2, 1}, {3, 6, 4, 2}, {2, 4, 6, 3}, {1, 2, 3, 4}});
final Jama.Matrix J_B = new Jama.Matrix(new double[] {3, 6, 4, 7}, 4);
final Jama.Matrix J_Sol = new Jama.Matrix(new double[] {0, 1, -1, 2}, 4);
// calculate solution-vector
final Jama.Matrix J_X = J_A.chol().solve(J_B);
final Matrix M_X = M_A.solveLR(M_B);
assertTrue(equals(M_X, M_Sol));
assertTrue(equals(J_X, J_Sol));
assertTrue(equals(J_X, M_X));
}
