-
Notifications
You must be signed in to change notification settings - Fork 14
/
operations.py
249 lines (187 loc) · 5.16 KB
/
operations.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
""" Util Functions """
import math
import numpy as np
import random
def addition(first: int, second: int) -> int:
"""
Returns sum of two integers.
Parameters:
first (int) : First Integer
second (int) : Second Integer
"""
return first + second
def subtraction(first: int, second: int) -> int:
"""
Returns subtraction of two integers.
Parameters:
first (int) : First Integer
second (int) : Second Integer
"""
return first - second
def multiplication(first: int, second: int) -> int:
"""
Returns multiplication of two integers.
Parameters:
first (int) : First Integer
second (int) : Second Integer
"""
return first * second
def division(first: int, second: int) -> float:
"""
Returns float division of two integers.
Parameters:
first (int) : First Integer
second (int) : Second Integer
"""
return first / second
def integer_division(first: int, second: int) -> int:
"""
Returns integer division of two integers.
Parameters:
first (int) : First Integer
second (int) : Second Integer
"""
return first // second
def power(base_int: int, power_int: int) -> int:
"""
Returns base raised to the power.
Parameters:
first (int) : First Integer
second (int) : Second Integer
"""
return base_int ** power_int
def modulo(dividend: int, divisor: int) -> int:
"""
Returns remainder of dividend // divisor.
Parameters:
first (int) : First Integer
second (int) : Second Integer
"""
return dividend % divisor
def log(first: int, base: int) -> float:
"""
Returns sum of two integers.
Parameters:
first (int) : Value to calculate base for. Should be > 0.
second (int) : Logarithmic base to use.
"""
return math.log(first, base)
def sigmoid(z):
"""
Compute the sigmoid of z
Arguments:
x -- A scalar or numpy array of any size.
Return:
s -- sigmoid(z)
"""
# START CODE HERE ### (≈ 1 line of code)
s = 1 / (1 + np.exp(-z))
### END CODE HERE ###
return s
def rand_between(start: int, stop: int) -> int:
"""
Returns a random number between two integers.
Parameters:
start (int) : Lower limit of Random Number
stop (int) : Upper Limit of Random Number
"""
return random.randint(start, stop)
def mean(numbers: list) -> float:
"""
Returns an float of the mean of numbers provided in mean 64 for more accuracy.
Parameters:
numbers (list) : A list of numbers
"""
return np.mean(np.array(numbers), dtype=np.float64)
def range(first: int, second: int) -> float:
"""
Returns the range between 2 numbers.
Parameters:
start (int) : First number
end (int) : Second number
"""
biggest = 0
if (first < second):
biggest = second
return biggest - first
return first - second
def median(numbers: list) -> float:
"""
Returns the median of a list of numbers.
Parameters:
numbers (list) : A list of numbers
"""
list_size = len(numbers)
numbers.sort()
if list_size % 2 == 0:
median1 = numbers[list_size//2]
median2 = numbers[list_size//2 - 1]
median = (median1 + median2)/2
else:
median = numbers[list_size//2]
return median
def mode(numbers: list) -> dict:
"""
Returns the mode of a list of numbers as a dictionary.
Parameters:
numbers (list) : A list of numbers
"""
numbers.sort()
ordered_list = []
i = 0
while i < len(numbers):
ordered_list.append(numbers.count(numbers[i]))
i += 1
count_num_dict = dict(zip(numbers, ordered_list))
filter_dict = {k for (k, v) in count_num_dict.items()
if v == max(ordered_list)}
return int(str(filter_dict).replace("{", "").replace("}", ""))
def hcf(x, y):
while(y):
x, y = y, x % y
from scipy.integrate import odeint
import numpy as N
def f(y, t):
"""this is the rhs of the ODE to integrate, i.e. dy/dt=f(y,t)"""
return -2 * y * t
y0 = 1
a = 0
b = 2
t = N.arange(a, b, 0.01)
y = odeint(f, y0, t)
import pylab
pylab.plot(t, y)
pylab.xlabel('t'); pylab.ylabel('y(t)')
return x
def factorial(num: int) -> int:
if num <= 1:
return 1
else:
return factorial(num-1) * num
def exponential(Num) -> int:
"""
This is to calculate exponential of number
Parameters:
Num (int): Number to calculate exponential of
Returns:
exponential value of number
"""
return math.exp(Num)
"""
Some Basic Trognometric Functions.
"""
def Sine():
x = input("You chose Sin(x) \nEnter the Number(x) in Degrees:")
x = int(x)
res= math.sin(math.radians(x))
return res
def Cosine():
x = input("You chose Cos(x) \nEnter the Number(x) in Degrees:")
x = int(x)
res= math.cos(math.radians(x))
return res
def Tangent():
x = input("You chose Tan(x) \nEnter the Number(x) in Degrees:")
x = int(x)
res= math.tan(math.radians(x))
return res