def test_mat_rows_are_vecs(self):
mat = Mat(
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
)
self.assertEqual(mat.row(0), Vec(1, 2, 3))
def test_eq(self):
mat1 = Mat(3)
mat2 = Mat.new_identity(3)
self.assertNotEqual(mat1, mat2)
mat3 = Mat.new_identity(3)
self.assertEqual(mat2, mat3)
def test_change_vec_changes_mat(self):
correct = Mat(
[1, 123, 0],
[0, 1, 0],
[0, 0, 1],
)
mat = Mat.new_identity(3)
vec = mat[1]
vec[0] = 123
self.assertEqual(mat, correct)
mat = Mat.new_identity(3)
vec = mat.col(1)
vec[0] = 123
self.assertEqual(mat, correct)
mat = Mat.new_identity(3)
vec = mat.row(0)
vec[1] = 123
self.assertEqual(mat, correct)
mat = Mat.new_identity(3)
vec = mat[1]
vec.x = 123
self.assertEqual(mat, correct)
def test_mat_cols_are_vecs(self):
mat = Mat(
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
)
self.assertEqual(mat[0], Vec(1, 4, 7))
self.assertEqual(mat.col(0), Vec(1, 4, 7))
def test_copy_is_unlinked(self):
m = Mat.new_identity(3)
v = m[1]
v = v.copy()
v[0] = 123
self.assertEqual(v, Vec(123, 1, 0))
self.assertEqual(m, Mat.new_identity(3))
def test_copy_to(self):
m1 = Mat(
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
)
m2 = Mat.new_identity(3)
m1.copy_to(m2)
self.assertEqual(m1, m2)
def test_popped(self):
mat = Mat(
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
)
correct = Mat(
[1, 2, 3],
[4, 5, 6]
)
self.assertEqual(mat.popped(), correct)
def test_rot_mat(self):
rot = Mat.new_rotation_3d()
ident = Mat.new_identity(4)
# a rotation matrix with no rotations is just the basis vectors
self.assertEqual(rot, ident)
vec = Vec(1, 0, 0, 1)
self.assertEqual(rot * vec, Vec(1, 0, 0, 1))
rot = Mat.new_rotation_3d(0, -pi/2, 0)
self.assertEqual(rot * vec, Vec(0, 0, 1, 1))
def test_appended_col(self):
mat = Mat(
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
)
mat = mat.appended_col(Vec(1, 2, 3))
correct = Mat(
[1, 2, 3, 1],
[4, 5, 6, 2],
[7, 8, 9, 3],
)
self.assertEqual(mat, correct)
def test_appended(self):
mat = Mat(
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
)
mat = mat.appended(Vec(1, 2, 3))
correct = Mat(
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
[1, 2, 3]
)
self.assertEqual(mat, correct)
def test_normalize_row(self):
mat = Mat(
[1, 2, 3],
[0, 2, 0],
[1, 0, 0],
)
correct = Mat(
[1, 2, 3],
[0, 1, 0],
[1, 0, 0],
)
vec = mat.row(1)
vec.normalize_in_place()
self.assertEqual(mat, correct)
def test_scale_mat(self):
mat = Mat.new_scale_3d(0.5, 2.0, 1)
correct = Mat(
[0.5, 0, 0, 0],
[0, 2.0, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1],
)
self.assertEqual(mat, correct)
vec = Vec(4, 1, 3, 1)
self.assertEqual(mat * vec, Vec(2, 2, 3, 1))
def test_trans_mat(self):
mat = Mat.new_translation_3d(1, 2, 3)
correct = Mat(
[1, 0, 0, 1],
[0, 1, 0, 2],
[0, 0, 1, 3],
[0, 0, 0, 1]
)
self.assertEqual(mat, correct)
vec = Vec(1, 0, 0, 1)
self.assertEqual(mat * vec, Vec(2, 2, 3, 1))
def test_identity(self):
mat = Mat.new_identity(2)
self.assertEqual(mat[0][0], 1)
self.assertEqual(mat[1][0], 0)
self.assertEqual(mat[0][1], 0)
self.assertEqual(mat[1][1], 1)
mat = Mat.new_identity(3)
self.assertEqual(mat[0][0], 1)
self.assertEqual(mat[1][0], 0)
self.assertEqual(mat[2][0], 0)
self.assertEqual(mat[0][1], 0)
self.assertEqual(mat[1][1], 1)
self.assertEqual(mat[2][1], 0)
self.assertEqual(mat[0][2], 0)
self.assertEqual(mat[1][2], 0)
self.assertEqual(mat[2][2], 1)
def test_print(self):
mat = Mat([
[1.234, 9, 39],
[3, 165, 0.1],
])
self.assertEqual(str(mat), "| 1.23 9 39 |\n| 3 165 0.10 |")
mat = Mat.new_identity(4)
self.assertEqual(str(mat), "| 1 0 0 0 |\n| 0 1 0 0 |\n| 0 0 1 0 |\n| 0\
0 0 1 |")
mat[1][1] = 348290482.23984
self.assertEqual(str(mat), "| 1 0 0 \
0 |\n| 0 348290482.24 0 0 |\n| \
0 0 1 0 |\n| 0 0\
0 1 |")
# try some fancy character renderings
mat = Mat(
[pi, pi/2, pi/4],
)
self.assertEqual(str(mat.friendly()), "| \xcf\x80 \xcf\x80/2 \xcf\x80/4 |")
mat = Mat.new_rotation_3d(radians(45), radians(30), radians(270))
self.assertEqual(str(mat.friendly()), "| 0 cos(\xcf\x80/6) \
sin(\xcf\x80/6) 0 |\n| sin(-\xcf\x80/4) 0.35 -0.61 0 \
|\n| sin(-\xcf\x80/4) -0.35 0.61 0 |\n| 0 0 \
0 1 |")
self.assertEqual(str(mat), "| -0.00 0.87 0.50 0.00 |\n| -0.71 \
0.35 -0.61 0.00 |\n| -0.71 -0.35 0.61 0.00 |\n| 0.00 0.00 0.00 1.00 |")
def test_transpose(self):
mat = Mat(
[1, 2]
)
correct = Mat(
[1],
[2],
)
self.assertEqual(mat.transpose(), correct)
mat = Mat(
[1, 2],
[3, 4],
)
correct = Mat(
[1, 3],
[2, 4]
)
self.assertEqual(mat.transpose(), correct)
mat = Mat(
[1, 2],
[3, 4],
[5, 6],
)
correct = Mat(
[1, 3, 5],
[2, 4, 6]
)
self.assertEqual(mat.transpose(), correct)
def test_to_dict(self):
self.assertEqual(Vec(1, 19, 3).to_dict(), {"x": 1, "y": 19, "z": 3})
self.assertEqual(Mat.new_identity(3).row(0).to_dict(),
{"x": 1, "y": 0, "z": 0})
def test_len_list(self):
self.assertEqual(len(Vec(1, 2, 3)), 3)
self.assertEqual(len(Vec(4, 2)), 2)
self.assertEqual(len(Vec(1, 2, 3, 4)), 4)
self.assertEqual(len(Mat.new_identity(3).row(0)), 3)
def test_set_mat(self):
mat = Mat.new_identity(3)
mat[0][1] = 123
self.assertEqual(mat[0][1], 123)
def test_change_mat_changes_vec(self):
mat = Mat.new_identity(3)
vec = mat[0]
mat[0][1] = 123
self.assertEqual(vec[1], 123)