def test_LU_3x3_matrix(self):
matrix = Matrix([[1, 2, 4], [2, 1, 2], [1, 2, 1]])
matrix.LU()
self.assertEqual(matrix.L.tolist(),
[[1, 0, 0], [0.5, 1, 0], [0.5, 1, 1]])
self.assertEqual(matrix.U.tolist(),
[[2, 1, 2], [0, 1.5, 0], [0, 0, 3]])
def get_index():
if request.method == "POST":
matrix = request.form['matrix']
print(to_matrix(matrix))
new_matrix = Matrix(to_matrix(matrix))
new_matrix = new_matrix.matrix_inverse()
return render_template('index.html', matrix=matrix, new_matrix=new_matrix)
else:
return render_template('index.html')
def get_index():
if request.method == "POST":
matrix = request.form['matrix']
new_matrix = Matrix(to_matrix(matrix))
new_matrix = new_matrix.matrix_inverse()
# new_matrix = '$\\left(\\begin{matrix}\n'
new_matrix = matrix_to_sring(new_matrix)
return render_template('index.html', matrix=matrix, new_matrix=new_matrix)
else:
return render_template('index.html')
def get_index():
try:
if request.method == "POST":
matrix = request.form['matrix']
print(to_matrix(matrix))
new_matrix = Matrix(to_matrix(matrix))
new_matrix = new_matrix.matrix_inverse()
new_matrix = matrix_to_string(new_matrix)
return render_template('matrix_index.html', matrix=matrix, new_matrix=new_matrix)
else:
return render_template('matrix_index.html')
except WrongSize:
return render_template('matrix_index.html', error_message="Matrix should be square")
except NonInvertibleMatrix:
return render_template('matrix_index.html', error_message="It is a singular matrix")
def test_LU_2x2_matrix(self):
matrix = Matrix([[3, 4], [5, 6]])
matrix.LU()
self.assertEqual(matrix.L.tolist(), [[1.0, 0.0], [0.6, 1.0]])
self.assertEqual(matrix.U.tolist(), [[5.0, 6], [0.0, 0.4]])
def final_check_3x3_matrix(self):
matrix = Matrix([[1, 0, 0], [0.5, 1, 0], [0.5, 1, 1]])
expected = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]
self.assertEqual(matrix.final_check().tolist(), expected)
def final_check_2x2_matrix(self):
matrix = Matrix([[1, 2], [2, 1]])
expected = [[1, 0], [0, 1]]
self.assertEqual(matrix.final_check().tolist(), expected)
def test_wrong_matrix(self):
with self.assertRaises(Exception):
matrix = Matrix([[1,2,3],[2, 3, 4], ["a", "b", "c"]])
matrix.check_matrix()
def test_det_matrix(self):
matrix = Matrix([[1, 2, 3], [4, 5, 6], [5, 7, 9]])
self.assertEqual(matrix.det(), "The determinant of a matrix is equal to zero, then the matrix does not have an inverse")
def test_not_square_matrix_2(self):
with self.assertRaises(Exception):
matrix = Matrix([[1, 2], [2, 3], [1, 2, 3]])
matrix.check_matrix()
def test_inverse_3x3_matrix(self):
matrix = Matrix([[1, 0, 0], [0.5, 1, 0], [0.5, 1, 1]])
expected = [[1, 0, 0], [-0.5, 1, 0], [0, -1, 1]]
self.assertEqual(matrix.matrix_inverse().tolist(), expected)
def test_inverse_2x2_matrix(self):
matrix = Matrix([[3, 4], [5, 6]])
expected = [[-3, 2], [2.5, -1.5]]
self.assertEqual(matrix.matrix_inverse().tolist(), expected)
def test_wrong_matrix(self):
matrix = Matrix([[1, 2, 3], [2, 3, 4], ["a", "b", "c"]])
self.assertEquals(matrix.check_matrix(), "Wrong matrix")
def test_not_square_matrix_2(self):
matrix = Matrix([[1, 3], [1, 2, 3]])
self.assertEqual(
matrix.check_matrix(),
"Matrix is not square matrix, it doesn't have inverse")
def test_inverse_3x3_matrix(self):
matrix = Matrix([[1, 2, 4], [2, 1, 2], [1, 2, 1]])
expected = [[0, -0.33, 0.66], [0.6, 0, -0.3], [-0.3, 0.3, 0]]
self.assertEqual(matrix.matrix_inverse().tolist(), expected)
