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# Code for Chapter 4 homework
# Problem 1.
import turtle
import numpy as np
import matplotlib.pyplot as plt
from random import gammavariate
def randomList_gamma(n, a, b):
randomList = []
for i in range(n):
rand = float("{0:.1f}".format(gammavariate(a, b)))
randomList.append(rand)
return randomList
rand_list = randomList_gamma(1000, 2, 2)
print(rand_list)
points = rand_list
bins = int(np.max(rand_list) - np.min(rand_list))
#print(bins)
fig, ax = plt.subplots()
_mean = np.mean(points)
_std = np.std(points)
plt.hist(points, bins, histtype='bar', rwidth=0.8)
# Best fit line???
#y = ((1 / (np.sqrt(2*np.pi) * _std)) * np.exp(-0.5 * (1 / _std * (bins - _mean)) **2))
#ax.plot(bins, y, '--')
plt.xlabel('List Value')
plt.ylabel('Frequency')
plt.title('Histogram of randomList_gamma: Mean: {0:.2f}, STD: {1:.2f}'.format(_mean,_std))
plt.legend()
plt.show()
# Problem 2.
L1 = [1, 4, 9, 16, 9, 7, 4, 9, 11]
L2 = [11, 11, 7, 9, 16, 4, 1]
def sameSet(list, list2):
copy_list1 = []
copy_list2 = []
list.sort()
list2.sort()
for i in range(len(list) - 1):
if not list[i] in copy_list1:
copy_list1.append(list[i])
#print(copy_list1)
for i in range(len(list2) - 1):
if not list2[i] in copy_list2:
copy_list2.append(list2[i])
#print(copy_list2)
if copy_list1 == copy_list2:
return "These are the same set."
else:
return "These are not a same set."
#print(sameSet(L1,L2))
# Problem 3.
listofnum = [i for i in range(11)]
#print(listofnum)
def sumList(list):
# check if list is odd
# git middle number
midNum = 0
if len(list) % 2 != 0:
midIdx = len(list) // 2
midNum = list[midIdx]
# Create new list
sumList = []
# Get number of additions
times = len(list) // 2
count = 0
for i in range(times):
sum = list[count] + list[count + 1]
sumList.append(sum)
count += 2
mid = len(sumList) // 2
sumList.insert(mid, midNum)
return sumList
#print(sumList(listofnum))
# Problem 4.
bob = turtle.Turtle()
points = [(1,2),(3,1),(7,9),(9,2),(5,5)]
def plotRegression(points):
x_list = [x[0] for x in points]
y_list = [y[1] for y in points]
#print(x_list, y_list)
#print(sum(x_list), sum(y_list))
x_bar = sum(x_list) / len(x_list)
y_bar = sum(y_list) / len(y_list)
n = len(x_list)
sum1 = 0
m = ((sum(x_list) * sum(y_list)) - (n * x_bar * y_bar)) / (((sum(x_list))**2) - (n * (x_bar**2)))
#print(m)
#y = y_bar + (m * (x - x_bar))
for i in range(len(x_list)):
sum1 += x[i] * y[i]
#sum1 = sum([x[1] * y[i] for i in range(len(x_list))])
plotRegression(points)
# Problem 5.
def gcd(x, y):
x1 = abs(min(x, y))
y1 = abs(max(x, y))
gcd_ = x1
if y1 % x1:
gcd_ = gcd(x1, y1 % x1)
return gcd_
def fracAdd(frac1, frac2):
a = frac1[0]
b = frac2[1]
c = frac2[0]
d = frac2[1]
numerator = a*d + b*c
denominator = c*d
g = gcd(numerator, denominator)
return (numerator/g, denominator/g)
#print(gcd(4,5))
import fractions
def addFractions(frac1, frac2):
x1, y1 = frac1[0], frac1[1]
x2, y2 = frac2[0], frac2[1]
print(fractions.Fraction(x1, y1) + fractions.Fraction(x2, y2))
# Get greatest common denominator
#print(gcd(y1, y2))
def multiplyFractions(frac1, frac2):
x1, y1 = frac1[0], frac1[1]
x2, y2 = frac2[0], frac2[1]
print(fractions.Fraction(x1, y1) * fractions.Fraction(x2, y2))
fraction1 = (1,4)
fraction2 = (2,5)
#print(addFractions(fraction1, fraction2))
# Problem 6.
list1 = [i for i in range(1,10)]
list2 = [100,200]
def transform(list1,list2,r1,r2):
transform_list = list1[r1:r2]
for i in range(len(transform_list)):
insert = transform_list.pop(-1)
list2.append(insert)
return list2
print(transform(list1,list2,4,7))
# Problem 7.
# Problem 8.
morseAlphabet = {
".-": "A",
"-...": "B",
"-.-.": "C",
"-..": "D" ,
".": "E" ,
"..-.": "F" ,
"--.": "G" ,
"....": "H" ,
"..": "I",
".---": "J" ,
"-.-": "K" ,
".-..": "L" ,
"--" : "M",
"-.": "N" ,
"---": "O",
".--.": "P" ,
"--.-": "Q" ,
".-.": "R",
"...": "S",
"-": "T",
"..-": "U" ,
"...-": "V" ,
".--": "W" ,
"-..-": "X" ,
"-.--": "Y",
"--..": "Z",
"/": " "
}
testCode = ".... . .-.. .-.. --- / -.. .- .. .-.. -.-- / .--. .-. --- --. .-. .- -- -- . .-. / --. --- --- -.. / .-.. ..- -.-. -.- / --- -. / - .... . / -.-. .... .- .-.. .-.. . -. --. . ... / - --- -.. .- -.-- "
def fromMorseCodeToWords(morseCode):
decode_message = ""
letter = ""
for i in range(0, len(morseCode)):
if morseCode[i] is " ":
decode_message += morseAlphabet[letter]
letter = ""
continue
else:
letter += morseCode[i]
return decode_message
#print(fromMorseCodeToWords(testCode))
# Problem 9.
txtabrvs = {"2F4U": "Too Fast For You",
("4YEO", "FYEO") : "For Your Eyes Only",
"AAMOF" : "As a Matter of Fact",
"AFK" : "Away from Keyboard",
"AKA" : "Also known as",
"BTW" : "By the Way",
"B/C" : "Because",
"FWIW" : "For what it's Worth",
"FYI" : "For your Information",
"FTW" : "For the Win",
"HF" : "Have fun",
"HTH" : "Hope this Helps",
"IDK" : "I don't know"}
text_message = "FYI we won the game. I shouted out FTW as I scored."
def txtmsg_to_english(textMessage):
plain_text = ""
word = ""
for i in range(len(textMessage)):
if textMessage[i] is " ":
if word in txtabrvs.keys():
plain_text += " " + txtabrvs[word]
word = ""
continue
else:
plain_text += " " + word
word = ""
continue
else:
word += textMessage[i]
return plain_text
print(txtmsg_to_english(text_message))