def test_determinate(self):
"""
test for determinate()
"""
A = Matrix([[1, 1, 4, 5], [3, 3, 3, 2], [5, 1, 9, 0], [9, 7, 7, 9]], 4,
4)
self.assertEqual(-376, A.determinate())
def test_equality_matrix_2(self):
m1 = Matrix(
[0,-1,-2],
[-4,-5,-6],
[7,8,9]
)
m2 = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
self.assertNotEqual(m1, m2)
def test_equality_matrix(self):
m1 = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
m2 = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
self.assertEqual(m1, m2)
def test_sub_number_with_matrix(self):
m = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
m2 = 1 - m
rm = Matrix(
[1,0,-1],
[-3,-4,-5],
[-6,-7,-8]
)
self.assertEqual(rm,m2,msg="result is {0} but should be {1}".format(str(m2),str(rm)))
def test_mul_matrix_with_number(self):
m = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
rm = m * 2
em = Matrix(
[0,2,4],
[8,10,12],
[14,16,18]
)
self.assertEqual(rm,em)
def test_sub_matrix_with_number(self):
m = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
m2 = m - 1
rm = Matrix(
[-1,0,1],
[3,4,5],
[6,7,8]
)
self.assertEqual(rm,m2)
def test_add_number_to_matrix(self):
m = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
m2 = 1 + m
rm = Matrix(
[1,2,3],
[5,6,7],
[8,9,10]
)
self.assertEqual(rm,m2)
def test_incorrect_matrix(self):
with self.assertRaises(ValueError):
Matrix(
[0,1,2],
[4,5,6,5],
[7,8,9]
)
def test_add_matrix_to_matrix(self):
m = Matrix(
[1,1,2],
[1,0,1],
[0,-1,0]
)
m2 = Matrix(
[1,5,0],
[0,4,1],
[0,0,-2]
)
rm = m + m2
em = Matrix(
[2,6,2],
[1,4,2],
[0,-1,-2]
)
self.assertEqual(rm,em)
def test_mul_matrix_with_matrix(self):
m = Matrix(
[0,1,2],
[4,5,6],
[7,8,9]
)
m2 = Matrix(
[1,0,-1],
[-3,-4,-5],
[-6,-7,-8]
)
rm = m * m2
em = Matrix(
[-15,-18,-21],
[-47,-62,-77],
[-71,-95,-119]
)
self.assertEqual(rm,em)
def test_sub_matrix_with_matrix(self):
m = Matrix(
[1,1,2],
[1,0,1],
[0,-1,0]
)
m2 = Matrix(
[1,0,3],
[0,0,0],
[0,-1,0]
)
rm = m - m2
em = Matrix(
[0,1,-1],
[1,0,1],
[0,0,0]
)
self.assertEqual(rm,em)
def test__sub__matrix(self):
A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
B = Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]], 3, 3)
self.assertEqual("|0,0,-4|\n|0,0,0|\n|0,0,-2|\n", str(A - B))
def test_component_matrix(self):
A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
self.assertEqual(7, A.component(2, 1), 0.01)
def test__add__matrix(self):
A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
B = Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]], 3, 3)
self.assertEqual("|2,4,10|\n|4,8,10|\n|12,14,18|\n", str(A + B))
def test_changeComponent_matrix(self):
A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
A.changeComponent(0, 2, 5)
self.assertEqual("|1,2,5|\n|2,4,5|\n|6,7,8|\n", str(A))
def test__mul__matrix(self):
A = Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 3, 3)
x = Vector([1, 2, 3])
self.assertEqual("(14,32,50)", str(A * x))
self.assertEqual("|2,4,6|\n|8,10,12|\n|14,16,18|\n", str(A * 2))
def test_str_matrix(self):
A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
self.assertEqual("|1,2,3|\n|2,4,5|\n|6,7,8|\n", str(A))
def __init__(self, x, y, mode=0):
self.mat = Matrix.matrix(x, y, mode)
self.X = x
self.Y = y
self.mat.VERBOSE = False
def main():
m1 = Matrix([0, 1, 2], [4, 5, 6], [7, 8, 9])
m2 = Matrix([5, 3, -2], [5, 5, -10], [7, 8, 8])
m3 = ((3 - (1 + m1 + m2 - 3 * m1 - m1)) * 2) + 10 + (m1 * m2)
print(m3)
