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lab0 1.3 Горлов И.В. #62

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Update test_basic_math.py
anastasiiaCher Oct 4, 2024
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kew2023 Oct 20, 2024
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kew2023 Oct 20, 2024
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kew2023 Oct 20, 2024
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kew2023 Nov 2, 2024
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kew2023 Nov 2, 2024
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kew2023 Nov 2, 2024
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73 changes: 65 additions & 8 deletions lab0/basic_math.py
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Original file line number Diff line number Diff line change
Expand Up @@ -2,23 +2,70 @@
import scipy as sc


def matrix_multiplication(matrix_a, matrix_b):
def matrix_multiplication(matrix1, matrix2):
"""
Задание 1. Функция для перемножения матриц с помощью списков и циклов.
Вернуть нужно матрицу в формате списка.
"""
# put your code here
pass

m = len(matrix1)
n = len(matrix1[0])
n_2 = len(matrix2)
p = len(matrix2[0])


if (n != n_2):
raise ValueError()

c = [[0 for x in range(p)] for y in range(m)]

for i in range(m):
for k in range(p):
temp_sum = 0
for j in range(n):
temp_sum += matrix1[i][j]*matrix2[j][k]
c[i][k] = temp_sum

return c

def functions(a_1, a_2):
def functions(coeffs1, coeffs2):
"""
Задание 2. На вход поступает две строки, содержащие коэффициенты двух функций.
Необходимо найти точки экстремума функции и определить, есть ли у функций общие решения.
Вернуть нужно координаты найденных решения списком, если они есть. None, если их бесконечно много.
"""
# put your code here
pass
eq1 = [int(x) for x in coeffs1.split()]
eq2 = [int(x) for x in coeffs2.split()]

if (eq1 == eq2):
return

def f(x):
return eq1[0] * x**2 + eq1[1] * x + eq1[2]


a = (eq1[0]-eq2[0])
b = (eq1[1]-eq2[1])
c = (eq1[2]-eq2[2])


if a != 0:
discriminant = b**2 - 4*a*c

if discriminant < 0:
return []

x1 = (-b + discriminant**0.5) / (2*a)
x2 = (-b - discriminant**0.5) / (2*a)

if x1 != x2:
return [(x1, f(x1)), (x2, f(x2))]
return [(x1, f(x1))]
elif a == 0 and b != 0:
x = -c / b
return [(x, f(x))]
else:
return []


def skew(x):
Expand All @@ -27,7 +74,12 @@ def skew(x):
Необходимо вернуть значение коэффициента асимметрии, округленное до 2 знаков после запятой.
"""
# put your code here
pass
x_e = sum(x)/len(x)
m_2 = (sum([(x_i - x_e)**2 for x_i in x])/len(x))**0.5
m_3 = sum([(x_i - x_e)**3 for x_i in x])/len(x)
A_3 = m_3/(m_2**3)

return round(A_3, 2)


def kurtosis(x):
Expand All @@ -36,4 +88,9 @@ def kurtosis(x):
Необходимо вернуть значение коэффициента эксцесса, округленное до 2 знаков после запятой.
"""
# put your code here
pass
x_e = sum(x)/len(x)
m_2 = (sum([(x_i - x_e)**2 for x_i in x])/len(x))**0.5
m_4 = sum([(x_i - x_e)**4 for x_i in x])/len(x)
E_4 = m_4/(m_2**4) - 3

return round(E_4, 2)
172 changes: 86 additions & 86 deletions lab0/test_basic_math.py
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Expand Up @@ -6,89 +6,89 @@


class MATHTestCase(unittest.TestCase):
def test_matrix_multiplication(self):
a1 = [[1, 2, 3],
[4, 5, 6]]
b1 = [[7, 8],
[9, 10],
[11, 12]]
self.assertEqual(basic_math.matrix_multiplication(a1, b1), [[58, 64],[139, 154]])

a2 = [[1, 2],
[3, 4]]
b2 = [[1, 2]]
with self.assertRaises(ValueError):
basic_math.matrix_multiplication(a2, b2)

a3 = [[1, 2, 3],
[4, 5, 6],
[7, 8, 9]]
b3 = [[1, 0, 0],
[0, 1, 0],
[0, 0, 1]]
self.assertEqual(basic_math.matrix_multiplication(a3, b3), a3)

a4 = [[1, 2, 3],
[4, 5, 6]]
b4 =[[0, 0],
[0, 0],
[0, 0]]
self.assertEqual(basic_math.matrix_multiplication(a4, b4), [[0, 0], [0, 0]])

a5 = [[1, 2, 3]]
b5 = [[4],
[5],
[6]]
self.assertEqual(basic_math.matrix_multiplication(a5, b5), [[32]])

a6 = [[3]]
b6 = [[4]]
self.assertEqual(basic_math.matrix_multiplication(a6, b6), [[12]])


def test_functions(self):
coeffs1 = "1 0 -4"
coeffs2 = "1 -2 0"
self.assertEqual(basic_math.functions(coeffs1, coeffs2), [(2, 0)])

coeffs3 = "1 0 4"
coeffs4 = "1 0 1"
self.assertEqual(basic_math.functions(coeffs3, coeffs4), [])

coeffs5 = "1 2 1"
coeffs6 = "1 2 1"
self.assertIsNone(basic_math.functions(coeffs5, coeffs6))

coeffs7 = "1 2 3"
coeffs8 = "1 2 1"
self.assertEqual(basic_math.functions(coeffs7, coeffs8), [])

coeffs9 = "0 2 -1"
coeffs10 = "1 -4 4"
self.assertEqual(basic_math.functions(coeffs9, coeffs10), [(1, 1), (5, 9)])


def test_skew(self):
x1 = [2,3,5,7,8]
x2 = [2,3,2,5,7,2,2,8]
self.assertEqual(basic_math.skew(x1), round(scipy.stats.skew(x1), 2))
self.assertEqual(basic_math.skew(x2), round(scipy.stats.skew(x2), 2))

random.seed(100)
random_floats = [random.random() for _ in range(10000)]
random_integers = [random.randint(1, 99) for _ in range(10000)]
self.assertEqual(basic_math.skew(random_floats), round(scipy.stats.skew(random_floats), 2))
self.assertEqual(basic_math.skew(random_integers), round(scipy.stats.skew(random_integers), 2))


def test_kurtosis(self):
x1 = [2,3,5,7,8]
x2 = [2,3,2,5,7,2,2,8]
self.assertEqual(basic_math.kurtosis(x1), round(scipy.stats.kurtosis(x1), 2))
self.assertEqual(basic_math.kurtosis(x2), round(scipy.stats.kurtosis(x2), 2))

random.seed(100)
random_floats = [random.random() for _ in range(10000)]
random_integers = [random.randint(1, 99) for _ in range(10000)]
self.assertEqual(basic_math.kurtosis(random_floats), round(scipy.stats.kurtosis(random_floats), 2))
self.assertEqual(basic_math.kurtosis(random_integers), round(scipy.stats.kurtosis(random_integers), 2))
def test_matrix_multiplication(self):
a1 = [[1, 2, 3],
[4, 5, 6]]
b1 = [[7, 8],
[9, 10],
[11, 12]]
self.assertEqual(basic_math.matrix_multiplication(a1, b1), [[58, 64],[139, 154]])

a2 = [[1, 2],
[3, 4]]
b2 = [[1, 2]]
with self.assertRaises(ValueError):
basic_math.matrix_multiplication(a2, b2)
a3 = [[1, 2, 3],
[4, 5, 6],
[7, 8, 9]]
b3 = [[1, 0, 0],
[0, 1, 0],
[0, 0, 1]]
self.assertEqual(basic_math.matrix_multiplication(a3, b3), a3)

a4 = [[1, 2, 3],
[4, 5, 6]]
b4 =[[0, 0],
[0, 0],
[0, 0]]
self.assertEqual(basic_math.matrix_multiplication(a4, b4), [[0, 0], [0, 0]])
a5 = [[1, 2, 3]]
b5 = [[4],
[5],
[6]]
self.assertEqual(basic_math.matrix_multiplication(a5, b5), [[32]])

a6 = [[3]]
b6 = [[4]]
self.assertEqual(basic_math.matrix_multiplication(a6, b6), [[12]])


def test_functions(self):
coeffs1 = "1 0 -4"
coeffs2 = "1 -2 0"
self.assertEqual(basic_math.functions(coeffs1, coeffs2), [(2, 0)])

coeffs3 = "1 0 4"
coeffs4 = "1 0 1"
self.assertEqual(basic_math.functions(coeffs3, coeffs4), [])

coeffs5 = "1 2 1"
coeffs6 = "1 2 1"
self.assertIsNone(basic_math.functions(coeffs5, coeffs6))

coeffs7 = "1 2 3"
coeffs8 = "1 2 1"
self.assertEqual(basic_math.functions(coeffs7, coeffs8), [])

coeffs9 = "0 2 -1"
coeffs10 = "1 -4 4"
self.assertEqual(basic_math.functions(coeffs9, coeffs10), [(1, 1), (5, 9)])


def test_skew(self):
x1 = [2,3,5,7,8]
x2 = [2,3,2,5,7,2,2,8]
self.assertEqual(basic_math.skew(x1), round(scipy.stats.skew(x1), 2))
self.assertEqual(basic_math.skew(x2), round(scipy.stats.skew(x2), 2))

random.seed(100)
random_floats = [random.random() for _ in range(10000)]
random_integers = [random.randint(1, 99) for _ in range(10000)]
self.assertEqual(basic_math.skew(random_floats), round(scipy.stats.skew(random_floats), 2))
self.assertEqual(basic_math.skew(random_integers), round(scipy.stats.skew(random_integers), 2))


def test_kurtosis(self):
x1 = [2,3,5,7,8]
x2 = [2,3,2,5,7,2,2,8]
self.assertEqual(basic_math.kurtosis(x1), round(scipy.stats.kurtosis(x1), 2))
self.assertEqual(basic_math.kurtosis(x2), round(scipy.stats.kurtosis(x2), 2))

random.seed(100)
random_floats = [random.random() for _ in range(10000)]
random_integers = [random.randint(1, 99) for _ in range(10000)]
self.assertEqual(basic_math.kurtosis(random_floats), round(scipy.stats.kurtosis(random_floats), 2))
self.assertEqual(basic_math.kurtosis(random_integers), round(scipy.stats.kurtosis(random_integers), 2))
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