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test_matrix.py
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test_matrix.py
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from algorithms.matrix import (
bomb_enemy,
copy_transform,
crout_matrix_decomposition,
cholesky_matrix_decomposition,
matrix_exponentiation,
matrix_inversion,
multiply,
rotate_image,
sparse_dot_vector,
spiral_traversal,
sudoku_validator,
sum_sub_squares,
sort_matrix_diagonally
)
import unittest
class TestBombEnemy(unittest.TestCase):
def test_3x4(self):
grid1 = [
["0", "E", "0", "0"],
["E", "0", "W", "E"],
["0", "E", "0", "0"]
]
self.assertEqual(3, bomb_enemy.max_killed_enemies(grid1))
grid1 = [
["0", "E", "0", "E"],
["E", "E", "E", "0"],
["E", "0", "W", "E"],
["0", "E", "0", "0"]
]
grid2 = [
["0", "0", "0", "E"],
["E", "0", "0", "0"],
["E", "0", "W", "E"],
["0", "E", "0", "0"]
]
self.assertEqual(5, bomb_enemy.max_killed_enemies(grid1))
self.assertEqual(3, bomb_enemy.max_killed_enemies(grid2))
class TestCopyTransform(unittest.TestCase):
"""[summary]
Test for the file copy_transform.py
Arguments:
unittest {[type]} -- [description]
"""
def test_copy_transform(self):
self.assertEqual(copy_transform.rotate_clockwise(
[[1, 2, 3], [4, 5, 6], [7, 8, 9]]),
[[7, 4, 1], [8, 5, 2], [9, 6, 3]])
self.assertEqual(copy_transform.rotate_counterclockwise(
[[1, 2, 3], [4, 5, 6], [7, 8, 9]]),
[[3, 6, 9], [2, 5, 8], [1, 4, 7]])
self.assertEqual(copy_transform.top_left_invert(
[[1, 2, 3], [4, 5, 6], [7, 8, 9]]),
[[1, 4, 7], [2, 5, 8], [3, 6, 9]])
self.assertEqual(copy_transform.bottom_left_invert(
[[1, 2, 3], [4, 5, 6], [7, 8, 9]]),
[[9, 6, 3], [8, 5, 2], [7, 4, 1]])
class TestCroutMatrixDecomposition(unittest.TestCase):
"""[summary]
Test for the file crout_matrix_decomposition.py
Arguments:
unittest {[type]} -- [description]
"""
def test_crout_matrix_decomposition(self):
self.assertEqual(([[9.0, 0.0], [7.0, 0.0]],
[[1.0, 1.0], [0.0, 1.0]]),
crout_matrix_decomposition.crout_matrix_decomposition(
[[9, 9], [7, 7]]))
self.assertEqual(([[1.0, 0.0, 0.0],
[3.0, -2.0, 0.0],
[6.0, -5.0, 0.0]],
[[1.0, 2.0, 3.0],
[0.0, 1.0, 2.0],
[0.0, 0.0, 1.0]]),
crout_matrix_decomposition.crout_matrix_decomposition(
[[1, 2, 3], [3, 4, 5], [6, 7, 8]]))
self.assertEqual(([[2.0, 0, 0, 0],
[4.0, -1.0, 0, 0],
[6.0, -2.0, 2.0, 0],
[8.0, -3.0, 3.0, 0.0]],
[[1.0, 0.5, 1.5, 0.5],
[0, 1.0, 2.0, 1.0],
[0, 0, 1.0, 0.0],
[0, 0, 0, 1.0]]),
crout_matrix_decomposition.crout_matrix_decomposition(
[[2, 1, 3, 1], [4, 1, 4, 1], [6, 1, 7, 1],
[8, 1, 9, 1]]))
class TestCholeskyMatrixDecomposition(unittest.TestCase):
"""[summary]
Test for the file cholesky_matrix_decomposition.py
Arguments:
unittest {[type]} -- [description]
"""
def test_cholesky_matrix_decomposition(self):
self.assertEqual([[2.0, 0.0, 0.0],
[6.0, 1.0, 0.0],
[-8.0, 5.0, 3.0]],
cholesky_matrix_decomposition.cholesky_decomposition(
[[4, 12, -16], [12, 37, -43], [-16, -43, 98]]))
self.assertEqual(None,
cholesky_matrix_decomposition.cholesky_decomposition(
[[4, 12, -8], [12, 4, -43], [-16, -1, 32]]))
self.assertEqual(None,
cholesky_matrix_decomposition.cholesky_decomposition(
[[4, 12, -16], [12, 37, -43], [-16, -43, 98],
[1, 2, 3]]))
# example taken from https://ece.uwaterloo.ca/~dwharder/NumericalAnalysis/04LinearAlgebra/cholesky/
self.assertEqual([[2.23606797749979, 0.0, 0.0, 0.0],
[0.5366563145999494, 2.389979079406345, 0.0, 0.0],
[0.13416407864998736, -0.19749126846635062,
2.818332343581848, 0.0],
[-0.2683281572999747, 0.43682390737048743,
0.64657701271919, 3.052723872310221]],
cholesky_matrix_decomposition.cholesky_decomposition(
[[5, 1.2, 0.3, -0.6], [1.2, 6, -0.4, 0.9],
[0.3, -0.4, 8, 1.7], [-0.6, 0.9, 1.7, 10]]))
class TestInversion(unittest.TestCase):
"""[summary]
Test for the file matrix_inversion.py
Arguments:
unittest {[type]} -- [description]
"""
def test_inversion(self):
from fractions import Fraction
m1 = [[1, 1], [1, 2]]
self.assertEqual(matrix_inversion.invert_matrix(m1),
[[2, -1], [-1, 1]])
m2 = [[1, 2], [3, 4, 5]]
self.assertEqual(matrix_inversion.invert_matrix(m2), [[-1]])
m3 = [[1, 1, 1, 1], [2, 2, 2, 2]]
self.assertEqual(matrix_inversion.invert_matrix(m3), [[-2]])
m4 = [[1]]
self.assertEqual(matrix_inversion.invert_matrix(m4), [[-3]])
m5 = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
self.assertEqual(matrix_inversion.invert_matrix(m5), [[-4]])
m6 = [[3, 5, 1], [2, 5, 0], [1, 9, 8]]
self.assertEqual(matrix_inversion.invert_matrix(m6),
[[Fraction(40, 53),
Fraction(-31, 53),
Fraction(-5, 53)],
[Fraction(-16, 53),
Fraction(23, 53),
Fraction(2, 53)],
[Fraction(13, 53),
Fraction(-22, 53),
Fraction(5, 53)]])
class TestMatrixExponentiation(unittest.TestCase):
"""[summary]
Test for the file matrix_exponentiation.py
Arguments:
unittest {[type]} -- [description]
"""
def test_matrix_exponentiation(self):
mat = [[1, 0, 2], [2, 1, 0], [0, 2, 1]]
self.assertEqual(matrix_exponentiation.matrix_exponentiation(mat, 0),
[[1, 0, 0], [0, 1, 0], [0, 0, 1]])
self.assertEqual(matrix_exponentiation.matrix_exponentiation(mat, 1),
[[1, 0, 2], [2, 1, 0], [0, 2, 1]])
self.assertEqual(matrix_exponentiation.matrix_exponentiation(mat, 2),
[[1, 4, 4], [4, 1, 4], [4, 4, 1]])
self.assertEqual(matrix_exponentiation.matrix_exponentiation(mat, 5),
[[81, 72, 90], [90, 81, 72], [72, 90, 81]])
class TestMultiply(unittest.TestCase):
"""[summary]
Test for the file multiply.py
Arguments:
unittest {[type]} -- [description]
"""
def test_multiply(self):
self.assertEqual(multiply.multiply(
[[1, 2, 3], [2, 1, 1]], [[1], [2], [3]]), [[14], [7]])
class TestRotateImage(unittest.TestCase):
"""[summary]
Test for the file rotate_image.py
Arguments:
unittest {[type]} -- [description]
"""
def test_rotate_image(self):
self.assertEqual(rotate_image.rotate(
[[1, 2, 3], [4, 5, 6], [7, 8, 9]]),
[[7, 4, 1], [8, 5, 2], [9, 6, 3]])
class TestSparseDotVector(unittest.TestCase):
"""[summary]
Test for the file sparse_dot_vector.py
Arguments:
unittest {[type]} -- [description]
"""
def test_sparse_dot_vector(self):
self.assertEqual(sparse_dot_vector.
dot_product(sparse_dot_vector.
vector_to_index_value_list([1., 2., 3.]),
sparse_dot_vector.
vector_to_index_value_list([0., 2., 2.])),
10)
class TestSpiralTraversal(unittest.TestCase):
"""[summary]
Test for the file spiral_traversal.py
Arguments:
unittest {[type]} -- [description]
"""
def test_spiral_traversal(self):
self.assertEqual(spiral_traversal.spiral_traversal(
[[1, 2, 3], [4, 5, 6], [7, 8, 9]]), [1, 2, 3, 6, 9, 8, 7, 4, 5])
class TestSudokuValidator(unittest.TestCase):
"""[summary]
Test for the file sudoku_validator.py
Arguments:
unittest {[type]} -- [description]
"""
def test_sudoku_validator(self):
self.assertTrue(
sudoku_validator.valid_solution(
[
[5, 3, 4, 6, 7, 8, 9, 1, 2],
[6, 7, 2, 1, 9, 5, 3, 4, 8],
[1, 9, 8, 3, 4, 2, 5, 6, 7],
[8, 5, 9, 7, 6, 1, 4, 2, 3],
[4, 2, 6, 8, 5, 3, 7, 9, 1],
[7, 1, 3, 9, 2, 4, 8, 5, 6],
[9, 6, 1, 5, 3, 7, 2, 8, 4],
[2, 8, 7, 4, 1, 9, 6, 3, 5],
[3, 4, 5, 2, 8, 6, 1, 7, 9]
]))
self.assertTrue(
sudoku_validator.valid_solution_hashtable(
[
[5, 3, 4, 6, 7, 8, 9, 1, 2],
[6, 7, 2, 1, 9, 5, 3, 4, 8],
[1, 9, 8, 3, 4, 2, 5, 6, 7],
[8, 5, 9, 7, 6, 1, 4, 2, 3],
[4, 2, 6, 8, 5, 3, 7, 9, 1],
[7, 1, 3, 9, 2, 4, 8, 5, 6],
[9, 6, 1, 5, 3, 7, 2, 8, 4],
[2, 8, 7, 4, 1, 9, 6, 3, 5],
[3, 4, 5, 2, 8, 6, 1, 7, 9]
]))
self.assertTrue(
sudoku_validator.valid_solution_set(
[
[5, 3, 4, 6, 7, 8, 9, 1, 2],
[6, 7, 2, 1, 9, 5, 3, 4, 8],
[1, 9, 8, 3, 4, 2, 5, 6, 7],
[8, 5, 9, 7, 6, 1, 4, 2, 3],
[4, 2, 6, 8, 5, 3, 7, 9, 1],
[7, 1, 3, 9, 2, 4, 8, 5, 6],
[9, 6, 1, 5, 3, 7, 2, 8, 4],
[2, 8, 7, 4, 1, 9, 6, 3, 5],
[3, 4, 5, 2, 8, 6, 1, 7, 9]
]))
self.assertFalse(
sudoku_validator.valid_solution(
[
[5, 3, 4, 6, 7, 8, 9, 1, 2],
[6, 7, 2, 1, 9, 0, 3, 4, 9],
[1, 0, 0, 3, 4, 2, 5, 6, 0],
[8, 5, 9, 7, 6, 1, 0, 2, 0],
[4, 2, 6, 8, 5, 3, 7, 9, 1],
[7, 1, 3, 9, 2, 4, 8, 5, 6],
[9, 0, 1, 5, 3, 7, 2, 1, 4],
[2, 8, 7, 4, 1, 9, 6, 3, 5],
[3, 0, 0, 4, 8, 1, 1, 7, 9]
]))
self.assertFalse(
sudoku_validator.valid_solution_hashtable(
[
[5, 3, 4, 6, 7, 8, 9, 1, 2],
[6, 7, 2, 1, 9, 0, 3, 4, 9],
[1, 0, 0, 3, 4, 2, 5, 6, 0],
[8, 5, 9, 7, 6, 1, 0, 2, 0],
[4, 2, 6, 8, 5, 3, 7, 9, 1],
[7, 1, 3, 9, 2, 4, 8, 5, 6],
[9, 0, 1, 5, 3, 7, 2, 1, 4],
[2, 8, 7, 4, 1, 9, 6, 3, 5],
[3, 0, 0, 4, 8, 1, 1, 7, 9]
]))
self.assertFalse(
sudoku_validator.valid_solution_set(
[
[5, 3, 4, 6, 7, 8, 9, 1, 2],
[6, 7, 2, 1, 9, 0, 3, 4, 9],
[1, 0, 0, 3, 4, 2, 5, 6, 0],
[8, 5, 9, 7, 6, 1, 0, 2, 0],
[4, 2, 6, 8, 5, 3, 7, 9, 1],
[7, 1, 3, 9, 2, 4, 8, 5, 6],
[9, 0, 1, 5, 3, 7, 2, 1, 4],
[2, 8, 7, 4, 1, 9, 6, 3, 5],
[3, 0, 0, 4, 8, 1, 1, 7, 9]
]))
class TestSumSubSquares(unittest.TestCase):
"""[summary]
Test for the file sum_sub_squares.py
Arguments:
unittest {[type]} -- [description]
"""
def test_sum_sub_squares(self):
mat = [[1, 1, 1, 1, 1],
[2, 2, 2, 2, 2],
[3, 3, 3, 3, 3],
[4, 4, 4, 4, 4],
[5, 5, 5, 5, 5]]
self.assertEqual(sum_sub_squares.sum_sub_squares(mat, 3),
[[18, 18, 18], [27, 27, 27], [36, 36, 36]])
class TestSortMatrixDiagonally(unittest.TestCase):
def test_sort_diagonally(self):
mat = [
[3, 3, 1, 1],
[2, 2, 1, 2],
[1, 1, 1, 2]
]
self.assertEqual(sort_matrix_diagonally.sort_diagonally(mat), [
[1, 1, 1, 1],
[1, 2, 2, 2],
[1, 2, 3, 3]
])
if __name__ == "__main__":
unittest.main()