1 #!/usr/bin/octave --silent
5 unit_test_equals("sin[0] == 0", ...
7 divided_difference(@sin, 0));
9 unit_test_equals("sin[0, pi] == 0", ...
11 divided_difference(@sin, [0,pi]));
13 unit_test_equals("sin[0, pi, 2*pi] == 0", ...
15 divided_difference(@sin, [0,pi,2*pi]));
17 unit_test_equals("zero order divided_difference_coefficients", ...
19 divided_difference_coefficients([0]));
21 unit_test_equals("first order divided_difference_coefficients", ...
23 divided_difference_coefficients([0, pi]));
25 unit_test_equals("second order divided_difference_coefficients", ...
26 [1, -2, 1] / (2*pi^2), ...
27 divided_difference_coefficients([0, pi, 2*pi]));
30 unit_test_equals("1 is odd", ...
34 unit_test_equals("1 is not even", ...
38 unit_test_equals("2 is not odd", ...
42 unit_test_equals("2 is even", ...
46 expected_A = [1, 0, 0, 0, 0; ...
47 16, -32, 16, 0, 0; ...
48 0, 16, -32, 16, 0; ...
49 0, 0, 16, -32, 16; ...
51 unit_test_equals("Homework #1 problem #1 Poisson matrix is correct", ...
53 expected_A == poisson_matrix(4, 0, 1));
60 unit_test_equals("Homework #2 problem #5 fixed point is correct", ...
62 fixed_point_method(g, tol, x0));
66 g1 = @(u) 1 + h*exp(-u(1)^2)/(1+u(2)^2);
67 g2 = @(u) 0.5 + h*atan(u(1)^2 + u(2)^2);
68 my_g = @(u) [g1(u), g2(u)];
71 expected_fp = [1.0729, 1.0821];
72 unit_test_equals("Homework #3 problem #3i fixed point is correct", ...
74 fixed_point_method(my_g, tol, u0));