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Merge branch 'master' into master

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This commit is contained in:
Luke Weiler
2020-10-18 23:05:16 -04:00
committed by GitHub
parent de1f4c4c1f 81fc6918bf
commit 252e83897a
5 changed files with 284 additions and 177 deletions
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8
Makefile
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@@ -1,7 +1,11 @@
FLAKE_FLAGS = --ignore=E501,F401,F403,F405 IGNORE_ERRORS = E501,F401,F403,F405
PKG = mathgenerator
format:
python -m autopep8 --ignore=$(IGNORE_ERRORS) -i $(PKG)/*
lint: lint:
python -m flake8 $(FLAKE_FLAGS) python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
test: test:
python -m pytest --verbose -s tests python -m pytest --verbose -s tests

26
README.md
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@@ -77,31 +77,7 @@ problem, solution = mathgen.genById(0)
| 43 | Cross Product of 2 Vectors | [-19, -3, 2] X [-15, -12, 7] = | [3, 103, 183] | vectorCross | | 43 | Cross Product of 2 Vectors | [-19, -3, 2] X [-15, -12, 7] = | [3, 103, 183] | vectorCross |
| 44 | Compare Fractions | Which symbol represents the comparison between 8/6 and 3/1? | < | compareFractions | | 44 | Compare Fractions | Which symbol represents the comparison between 8/6 and 3/1? | < | compareFractions |
| 45 | Simple Interest | Simple interest for a principle amount of 9862 dollars, 4% rate of interest and for a time period of 1 years is = | 394.48 | simpleInterest | | 45 | Simple Interest | Simple interest for a principle amount of 9862 dollars, 4% rate of interest and for a time period of 1 years is = | 394.48 | simpleInterest |
| 46 | Multiplication of two matrices | Multiply | 46 | Multiplication of two matrices | Multiply <table><tr><td>-50</td><td>36</td><td>7</td><td>-26</td><td>-2</td><td>63</td></tr><tr><td>88</td><td>-37</td><td>60</td><td>-19</td><td>61</td><td>-56</td></tr><tr><td>48</td><td>-5</td><td>69</td><td>-87</td><td>-64</td><td>-92</td></tr><tr><td>-84</td><td>-50</td><td>-79</td><td>-19</td><td>86</td><td>-13</td></tr><tr><td>0</td><td>28</td><td>12</td><td>-14</td><td>73</td><td>-49</td></tr><tr><td>94</td><td>-90</td><td>2</td><td>26</td><td>-38</td><td>19</td></tr><tr><td>2</td><td>-11</td><td>79</td><td>-77</td><td>98</td><td>-77</td></tr><tr><td>-87</td><td>70</td><td>72</td><td>-32</td><td>64</td><td>-99</td></tr></table> and <table><tr><td>34</td><td>32</td><td>-6</td><td>-32</td><td>46</td><td>-23</td><td>78</td><td>-81</td><td>-18</td></tr><tr><td>-17</td><td>24</td><td>49</td><td>-62</td><td>-50</td><td>77</td><td>38</td><td>-98</td><td>-64</td></tr><tr><td>-23</td><td>-78</td><td>43</td><td> 5</td><td>-83</td><td>-5</td><td> 4</td><td>-92</td><td>-16</td></tr><tr><td> 46</td><td>-47</td><td>-92</td><td>52</td><td>-25</td><td>-37</td><td>44</td><td>51</td><td>-7</td></tr><tr><td> 20</td><td>26</td><td>70</td><td>37</td><td>96</td><td>-73</td><td>49</td><td>84</td><td>42</td></tr><tr><td>-72</td><td>-15</td><td>-80</td><td>-24</td><td>58</td><td>-47</td><td>-41</td><td>45</td><td>-69</td></tr></table>| <table><tr><td>-8245</td><td>-1057</td><td>-423</td><td>-3535</td><td>-569</td><td>2034</td><td>-6329</td><td>1219</td><td>-5765</td></tr><tr><td>6619</td><td> 567</td><td>10737</td><td>2391</td><td>4001</td><td>-6291</td><td>10147</td><td>-7387</td><td>6383</td></tr><tr><td>1472</td><td>-161</td><td>13318</td><td>-5565<td>-12574</td><td>10381</td><td> 638<td>-23699</td><td>2621</td></tr><tr><td>1593</td><td>5598</td><td>3465</td><td>7899</td><td>13170</td><td>-6487</td><td>-4857</td><td>24642</td><td>10618</td></tr><tr><td>3592</td><td>3027</td><td>12206</td><td>1473</td><td>2120</td><td>-412</td><td>6082</td><td>-635</td><td>4561</td></tr><tr><td>3748</td><td>-1803<td>-11460</td><td>2072</td><td>5462</td><td>-8183</td><td>2423</td><td>11</td><td> 947</td></tr><tr><td>2400</td><td> 960</td><td>22950</td><td>2483</td><td> 952</td><td>-1974</td><td>4625</td><td>-5512</td><td>9372</td></tr><tr><td>1132</td><td>-2067</td><td>22392</td><td>1884<td>-12276</td><td>8196</td><td>1949</td><td>-7148</td><td>5677</td></tr></table> | matrixMultiplication |
-50 36 7 -26 -2 63
88 -37 60 -19 61 -56
48 -5 69 -87 -64 -92
-84 -50 -79 -19 86 -13
0 28 12 -14 73 -49
94 -90 2 26 -38 19
2 -11 79 -77 98 -77
-87 70 72 -32 64 -99
and
34 32 -6 -32 46 -23 78 -81 -18
-17 24 49 -62 -50 77 38 -98 -64
-23 -78 43 5 -83 -5 4 -92 -16
46 -47 -92 52 -25 -37 44 51 -7
20 26 70 37 96 -73 49 84 42
-72 -15 -80 -24 58 -47 -41 45 -69 | -8245 -1057 -423 -3535 -569 2034 -6329 1219 -5765
6619 567 10737 2391 4001 -6291 10147 -7387 6383
1472 -161 13318 -5565 -12574 10381 638 -23699 2621
1593 5598 3465 7899 13170 -6487 -4857 24642 10618
3592 3027 12206 1473 2120 -412 6082 -635 4561
3748 -1803 -11460 2072 5462 -8183 2423 11 947
2400 960 22950 2483 952 -1974 4625 -5512 9372
1132 -2067 22392 1884 -12276 8196 1949 -7148 5677 | matrixMultiplication |
| 47 | Cube Root | cuberoot of 771 upto 2 decimal places is: | 9.17 | CubeRoot | | 47 | Cube Root | cuberoot of 771 upto 2 decimal places is: | 9.17 | CubeRoot |
| 48 | Power Rule Integration | 1x^3 + 8x^8 + 10x^10 | (1/3)x^4 + (8/8)x^9 + (10/10)x^11 + c | powerRuleIntegration | | 48 | Power Rule Integration | 1x^3 + 8x^8 + 10x^10 | (1/3)x^4 + (8/8)x^9 + (10/10)x^11 + c | powerRuleIntegration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 84, 154 = | 70 | fourthAngleOfQuadrilateral | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 84, 154 = | 70 | fourthAngleOfQuadrilateral |

1
dev-requirements.txt
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@@ -1,3 +1,4 @@
pytest pytest
hypothesis hypothesis
flake8 flake8
autopep8

12
makeReadme.py
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@@ -1,10 +1,10 @@
#To use, paste at bottom of mathgen.py code, change line variable and remove all table rows in README.md except for the top 2 and run mathgen.py # To use, paste at bottom of mathgen.py code, change line variable and remove all table rows in README.md except for the top 2 and run mathgen.py
wList = getGenList() wList = getGenList()
allRows = [] allRows = []
f=open('mathgen.py') f = open('mathgen.py')
lines=f.readlines() lines = f.readlines()
line = 720 #This has to be changed depending on which line the first generator appears on line = 720 # This has to be changed depending on which line the first generator appears on
for item in wList: for item in wList:
myGen = item[2] myGen = item[2]
prob, sol = myGen() prob, sol = myGen()
@@ -13,10 +13,10 @@ for item in wList:
instName = lines[line] instName = lines[line]
def_name = instName[:instName.find('=')].strip() def_name = instName[:instName.find('=')].strip()
row = [myGen.id, myGen.title, prob, sol, def_name] row = [myGen.id, myGen.title, prob, sol, def_name]
line+=1 line += 1
allRows.append(row) allRows.append(row)
g=open('../README.md', "a") g = open('../README.md', "a")
for row in allRows: for row in allRows:
tableLine = "| " + str(row[0]) + " | " + str(row[1]) + " | " + str(row[2]) + " | " + str(row[3]) + " | " + str(row[4]) + " |\n" tableLine = "| " + str(row[0]) + " | " + str(row[1]) + " | " + str(row[2]) + " | " + str(row[3]) + " | " + str(row[4]) + " |\n"
g.write(tableLine) g.write(tableLine)

408
mathgenerator/mathgen.py
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@@ -4,7 +4,6 @@ import fractions
genList = [] genList = []
# || Generator class # || Generator class
class Generator: class Generator:
def __init__(self, title, id, generalProb, generalSol, func): def __init__(self, title, id, generalProb, generalSol, func):
@@ -36,7 +35,8 @@ def getGenList():
def additionFunc(maxSum=99, maxAddend=50): def additionFunc(maxSum=99, maxAddend=50):
a = random.randint(0, maxAddend) a = random.randint(0, maxAddend)
b = random.randint(0, min((maxSum - a), maxAddend)) # The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well # The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well
b = random.randint(0, min((maxSum - a), maxAddend))
c = a + b c = a + b
problem = str(a) + "+" + str(b) + "=" problem = str(a) + "+" + str(b) + "="
solution = str(c) solution = str(c)
@@ -248,7 +248,8 @@ def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
c = random.randint(1, maxC) c = random.randint(1, maxC)
s = (a + b + c) / 2 s = (a + b + c) / 2
area = (s * (s - a) * (s - b) * (s - c)) ** 0.5 area = (s * (s - a) * (s - b) * (s - c)) ** 0.5
problem = "Area of triangle with side lengths: " + str(a) + " " + str(b) + " " + str(c) + " = " problem = "Area of triangle with side lengths: " + \
str(a) + " " + str(b) + " " + str(c) + " = "
solution = area solution = area
return problem, solution return problem, solution
@@ -259,7 +260,8 @@ def isTriangleValidFunc(maxSideLength=50):
sideC = random.randint(1, maxSideLength) sideC = random.randint(1, maxSideLength)
sideSums = [sideA + sideB, sideB + sideC, sideC + sideA] sideSums = [sideA + sideB, sideB + sideC, sideC + sideA]
sides = [sideC, sideA, sideB] sides = [sideC, sideA, sideB]
exists = True & (sides[0] < sideSums[0]) & (sides[1] < sideSums[1]) & (sides[2] < sideSums[2]) exists = True & (sides[0] < sideSums[0]) & (
sides[1] < sideSums[1]) & (sides[2] < sideSums[2])
problem = f"Does triangle with sides {sideA}, {sideB} and {sideC} exist?" problem = f"Does triangle with sides {sideA}, {sideB} and {sideC} exist?"
if exists: if exists:
solution = "Yes" solution = "Yes"
@@ -352,7 +354,8 @@ def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
# No redundant 1s # No redundant 1s
y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else '' y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else ''
# Don't include if 0, unless x is also 0 (probably never happens) # Don't include if 0, unless x is also 0 (probably never happens)
y_str = f'{y_coeff}y' if coeffs[1] != 0 else ('' if x_str != '' else '0') y_str = f'{y_coeff}y' if coeffs[1] != 0 else (
'' if x_str != '' else '0')
return f'{x_str}{op}{y_str} = {coeffs[2]}' return f'{x_str}{op}{y_str} = {coeffs[2]}'
problem = f"{coeffToFuncString(new_c1)}, {coeffToFuncString(new_c2)}" problem = f"{coeffToFuncString(new_c1)}, {coeffToFuncString(new_c2)}"
@@ -372,7 +375,6 @@ def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})" problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})"
return problem, solution return problem, solution
def pythagoreanTheoremFunc(maxLength=20): def pythagoreanTheoremFunc(maxLength=20):
a = random.randint(1, maxLength) a = random.randint(1, maxLength)
b = random.randint(1, maxLength) b = random.randint(1, maxLength)
@@ -391,7 +393,8 @@ def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
soln = [random.randint(-varRange, varRange) for i in range(n)] soln = [random.randint(-varRange, varRange) for i in range(n)]
problem = list() problem = list()
solution = ", ".join(["{} = {}".format(vars[i], soln[i]) for i in range(n)]) solution = ", ".join(["{} = {}".format(vars[i], soln[i])
for i in range(n)])
for _ in range(n): for _ in range(n):
coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)] coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)]
res = sum([coeff[i] * soln[i] for i in range(n)]) res = sum([coeff[i] * soln[i] for i in range(n)])
@@ -469,7 +472,8 @@ def combinationsFunc(maxlength=20):
b = random.randint(0, 9) b = random.randint(0, 9)
solution = int(factorial(a) / (factorial(b) * factorial(a - b))) solution = int(factorial(a) / (factorial(b) * factorial(a - b)))
problem = "Number of combinations from {} objects picked {} at a time ".format(a, b) problem = "Number of combinations from {} objects picked {} at a time ".format(
a, b)
return problem, solution return problem, solution
@@ -615,8 +619,10 @@ def intersectionOfTwoLinesFunc(
x = f"{x.numerator}/{x.denominator}" x = f"{x.numerator}/{x.denominator}"
return x return x
m1 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator)) m1 = (random.randint(minM, maxM), random.randint(
m2 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator)) minDenominator, maxDenominator))
m2 = (random.randint(minM, maxM), random.randint(
minDenominator, maxDenominator))
b1 = random.randint(minB, maxB) b1 = random.randint(minB, maxB)
b2 = random.randint(minB, maxB) b2 = random.randint(minB, maxB)
equation1 = generateEquationString(m1, b1) equation1 = generateEquationString(m1, b1)
@@ -642,7 +648,8 @@ def permutationFunc(maxlength=20):
a = random.randint(10, maxlength) a = random.randint(10, maxlength)
b = random.randint(0, 9) b = random.randint(0, 9)
solution = int(math.factorial(a) / (math.factorial(a - b))) solution = int(math.factorial(a) / (math.factorial(a - b)))
problem = "Number of Permutations from {} objects picked {} at a time = ".format(a, b) problem = "Number of Permutations from {} objects picked {} at a time = ".format(
a, b)
return problem, solution return problem, solution
@@ -685,7 +692,8 @@ def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
b = random.randint(1, maxRate) b = random.randint(1, maxRate)
c = random.randint(1, maxTime) c = random.randint(1, maxTime)
d = (a * b * c) / 100 d = (a * b * c) / 100
problem = "Simple interest for a principle amount of " + str(a) + " dollars, " + str(b) + "% rate of interest and for a time period of " + str(c) + " years is = " problem = "Simple interest for a principle amount of " + str(a) + " dollars, " + str(
b) + "% rate of interest and for a time period of " + str(c) + " years is = "
solution = round(d, 2) solution = round(d, 2)
return problem, solution return problem, solution
@@ -718,7 +726,8 @@ def matrixMultiplicationFunc(maxVal=100):
for t in range(n): for t in range(n):
temp += a[r][t] * b[t][c] temp += a[r][t] * b[t][c]
res[r].append(temp) res[r].append(temp)
problem = f"Multiply \n{a_string}\n and \n\n{b_string}" # consider using a, b instead of a_string, b_string if the problem doesn't look right # consider using a, b instead of a_string, b_string if the problem doesn't look right
problem = f"Multiply \n{a_string}\n and \n\n{b_string}"
solution = matrixMultiplicationFuncHelper(res) solution = matrixMultiplicationFuncHelper(res)
return problem, solution return problem, solution
@@ -754,32 +763,40 @@ def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
coefficient = random.randint(1, maxCoef) coefficient = random.randint(1, maxCoef)
exponent = random.randint(1, maxExp) exponent = random.randint(1, maxExp)
problem += str(coefficient) + "x^" + str(exponent) problem += str(coefficient) + "x^" + str(exponent)
solution += "(" + str(coefficient) + "/" + str(exponent) + ")x^" + str(exponent + 1) solution += "(" + str(coefficient) + "/" + \
str(exponent) + ")x^" + str(exponent + 1)
solution = solution + " + c" solution = solution + " + c"
return problem, solution return problem, solution
def fourthAngleOfQuadriFunc(total=360):
def fourthAngleOfQuadriFunc(maxAngle=180): def rand_anglesquad():
angle1 = random.randint(1, maxAngle) a=180
angle2 = random.randint(1, 240 - angle1) b=0
angle3 = random.randint(1, 340 - (angle1 + angle2)) c=0
sum_ = angle1 + angle2 + angle3 d=0
angle4 = 360 - sum_ while(c==0 or d==0):
problem = f"Fourth angle of quadrilateral with angles {angle1} , {angle2}, {angle3} =" a=random.randint(1, total-20)
solution = angle4 b=random.randint(1, total-a-10)
c=random.randint(1, total-a-b)
d=total-a-b-c
return a, b, c, d
a, b, c, d=rand_anglesquad()
problem="Fourth angle of a quadrilateral with three angles {}, {}, {} (in degrees)".format(a, b, c)
solution=d
return problem, solution return problem, solution
def quadraticEquation(maxVal=100): def quadraticEquation(maxVal=100):
a = random.randint(1, maxVal) a = random.randint(1, maxVal)
c = random.randint(1, maxVal) c = random.randint(1, maxVal)
b = random.randint(round(math.sqrt(4 * a * c)) + 1, round(math.sqrt(4 * maxVal * maxVal))) b = random.randint(round(math.sqrt(4 * a * c)) + 1,
round(math.sqrt(4 * maxVal * maxVal)))
problem = "Zeros of the Quadratic Equation {}x^2+{}x+{}=0".format(a, b, c) problem = "Zeros of the Quadratic Equation {}x^2+{}x+{}=0".format(a, b, c)
D = math.sqrt(b * b - 4 * a * c) D = math.sqrt(b * b - 4 * a * c)
solution = str([round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)]) solution = str([round((-b + D) / (2 * a), 2),
round((-b - D) / (2 * a), 2)])
return problem, solution return problem, solution
@@ -802,53 +819,58 @@ def DiceSumProbFunc(maxDice=3):
if a == 1: if a == 1:
if i == b: if i == b:
count = count + 1 count = count + 1
elif a == 2 : elif a == 2:
for j in [1, 2, 3, 4, 5, 6]: for j in [1, 2, 3, 4, 5, 6]:
if i + j == b: if i + j == b:
count= count + 1 count = count + 1
elif a == 3: elif a == 3:
for j in [1, 2, 3, 4, 5, 6]: for j in [1, 2, 3, 4, 5, 6]:
for k in [1, 2, 3, 4, 5, 6]: for k in [1, 2, 3, 4, 5, 6]:
if i + j + k == b: if i + j + k == b:
count= count + 1 count = count + 1
problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(a, b) problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(
solution="{}/{}".format(count, 6 ** a) a, b)
solution = "{}/{}".format(count, 6**a)
return problem, solution return problem, solution
def exponentiationFunc(maxBase = 20,maxExpo = 10):
def exponentiationFunc(maxBase=20, maxExpo=10):
base = random.randint(1, maxBase) base = random.randint(1, maxBase)
expo = random.randint(1, maxExpo) expo = random.randint(1, maxExpo)
problem = f"{base}^{expo} =" problem = f"{base}^{expo} ="
solution = str(base ** expo) solution = str(base ** expo)
return problem, solution return problem, solution
def confidenceIntervalFunc(): def confidenceIntervalFunc():
n=random.randint(20,40) n = random.randint(20, 40)
j=random.randint(0,3) j = random.randint(0, 3)
lst=random.sample(range(200,300),n) lst = random.sample(range(200, 300), n)
lst_per=[80 ,90, 95, 99] lst_per = [80, 90, 95, 99]
lst_t = [1.282, 1.645, 1.960, 2.576] lst_t = [1.282, 1.645, 1.960, 2.576]
mean=0 mean = 0
sd=0 sd = 0
for i in lst: for i in lst:
count= i + mean count = i + mean
mean=count mean = count
mean = mean/n mean = mean / n
for i in lst: for i in lst:
x=(i-mean)**2+sd x = (i - mean)**2 + sd
sd=x sd = x
sd=sd/n sd = sd / n
standard_error = lst_t[j]*math.sqrt(sd/n) standard_error = lst_t[j] * math.sqrt(sd / n)
problem= 'The confidence interval for sample {} with {}% confidence is'.format([x for x in lst], lst_per[j]) problem = 'The confidence interval for sample {} with {}% confidence is'.format(
solution= '({}, {})'.format(mean+standard_error, mean-standard_error) [x for x in lst], lst_per[j])
solution = '({}, {})'.format(mean + standard_error, mean - standard_error)
return problem, solution return problem, solution
def surdsComparisonFunc(maxValue = 100, maxRoot = 10):
radicand1,radicand2 = tuple(random.sample(range(1,maxValue),2)) def surdsComparisonFunc(maxValue=100, maxRoot=10):
degree1, degree2 = tuple(random.sample(range(1,maxRoot),2)) radicand1, radicand2 = tuple(random.sample(range(1, maxValue), 2))
degree1, degree2 = tuple(random.sample(range(1, maxRoot), 2))
problem = f"Fill in the blanks {radicand1}^(1/{degree1}) _ {radicand2}^(1/{degree2})" problem = f"Fill in the blanks {radicand1}^(1/{degree1}) _ {radicand2}^(1/{degree2})"
first = math.pow(radicand1, 1/degree1) first = math.pow(radicand1, 1 / degree1)
second = math.pow(radicand2, 1/degree2) second = math.pow(radicand2, 1 / degree2)
solution = "=" solution = "="
if first > second: if first > second:
solution = ">" solution = ">"
@@ -856,62 +878,71 @@ def surdsComparisonFunc(maxValue = 100, maxRoot = 10):
solution = "<" solution = "<"
return problem, solution return problem, solution
def fibonacciSeriesFunc(minNo=1): def fibonacciSeriesFunc(minNo=1):
n = random.randint(minNo,20) n = random.randint(minNo, 20)
def createFibList(n): def createFibList(n):
l=[] fibList = []
for i in range(n): for i in range(n):
if i<2: if i < 2:
l.append(i) fibList.append(i)
else: else:
val = l[i-1]+l[i-2] val = fibList[i - 1] + fibList[i - 2]
l.append(val) fibList.append(val)
return l return fibList
fibList=createFibList(n) fibList = createFibList(n)
problem = "The Fibonacci Series of the first "+str(n)+" numbers is ?" problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?"
solution = fibList solution = fibList
return problem,solution return problem, solution
def basicTrigonometryFunc(angles=[0,30,45,60,90],functions=["sin","cos","tan"]): #Handles degrees in quadrant one
angle=random.choice(angles)
function=random.choice(functions)
problem=f"What is {function}({angle})?" # Handles degrees in quadrant one
expression='math.'+function+'(math.radians(angle))' def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90], functions=["sin", "cos", "tan"]):
result_fraction_map={0.0:"0",0.5:"1/2",0.71:"1/√2",0.87:"√3/2",1.0:"1",0.58:"1/√3",1.73:"√3"} angle = random.choice(angles)
function = random.choice(functions)
solution=result_fraction_map[round(eval(expression),2)] if round(eval(expression),2)<=99999 else "∞" #for handling the ∞ condition problem = f"What is {function}({angle})?"
expression = 'math.' + function + '(math.radians(angle))'
result_fraction_map = {0.0: "0", 0.5: "1/2", 0.71: "1/√2",
0.87: "√3/2", 1.0: "1", 0.58: "1/√3", 1.73: "√3"}
return problem,solution solution = result_fraction_map[round(eval(expression), 2)] if round(
eval(expression), 2) <= 99999 else "∞" # for handling the ∞ condition
def sumOfAnglesOfPolygonFunc(maxSides = 12): return problem, solution
def sumOfAnglesOfPolygonFunc(maxSides=12):
side = random.randint(3, maxSides) side = random.randint(3, maxSides)
sum = (side - 2) * 180 sum = (side - 2) * 180
problem = f"Sum of angles of polygon with {side} sides = " problem = f"Sum of angles of polygon with {side} sides = "
solution = sum solution = sum
return problem, solution return problem, solution
def dataSummaryFunc(number_values=15,minval=5,maxval=50):
random_list=[] def dataSummaryFunc(number_values=15, minval=5, maxval=50):
random_list = []
for i in range(number_values): for i in range(number_values):
n=random.randint(minval,maxval) n = random.randint(minval, maxval)
random_list.append(n) random_list.append(n)
a=sum(random_list) a = sum(random_list)
mean=a/number_values mean = a / number_values
var=0 var = 0
for i in range(number_values): for i in range(number_values):
var+=(random_list[i]-mean)**2 var+=(random_list[i]-mean)**2
problem="Find the mean,standard deviation and variance for the data"+str(random_list) problem="Find the mean,standard deviation and variance for the data"+str(random_list)
solution="The Mean is {} , Standard Deviation is {}, Variance is {}".format(mean,var/number_values,(var/number_values)**0.5) solution="The Mean is {} , Standard Deviation is {}, Variance is {}".format(mean,var/number_values,(var/number_values)**0.5)
return problem,solution return problem,solution
def surfaceAreaSphere(maxSide = 20, unit = 'm'):
r = random.randint(1, maxSide)
def surfaceAreaSphere(maxSide=20, unit='m'):
r = random.randint(1, maxSide)
problem = f"Surface area of Sphere with radius = {r}{unit} is" problem = f"Surface area of Sphere with radius = {r}{unit} is"
ans = 4 * math.pi * r * r ans = 4 * math.pi * r * r
solution = f"{ans} {unit}^2" solution = f"{ans} {unit}^2"
return problem, solution return problem, solution
def volumeSphereFunc(maxRadius = 100): def volumeSphereFunc(maxRadius = 100):
r=random.randint(1,maxRadius) r=random.randint(1,maxRadius)
problem=f"Volume of sphere with radius {r} m = " problem=f"Volume of sphere with radius {r} m = "
@@ -920,6 +951,49 @@ def volumeSphereFunc(maxRadius = 100):
return problem,solution return problem,solution
def volumeSphereFunc(maxRadius=100):
r = random.randint(1, maxRadius)
problem = f"Volume of sphere with radius {r} m = "
ans = (4 * math.pi / 3) * r * r * r
solution = f"{ans} m^3"
return problem,solution
def nthFibonacciNumber(maxN = 100):
golden_ratio = (1 + math.sqrt(5))/2
n = random.randint(1,maxN)
problem = f"What is the {n}th Fibonacci number?"
ans = round((math.pow(golden_ratio,n) - math.pow(-golden_ratio,-n))/(math.sqrt(5)))
solution = f"{ans}"
return problem, solution
def profitLossPercentFunc(maxCP = 1000, maxSP = 1000):
cP = random.randint(1, maxCP)
sP = random.randint(1, maxSP)
diff = abs(sP-cP)
if (sP-cP >= 0):
profitOrLoss = "Profit"
else:
profitOrLoss = "Loss"
percent = diff/cP * 100
problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: "
solution = percent
def BinaryToHexFunc(max_dig=10):
problem = ''
for i in range(random.randint(1, max_dig)):
temp = str(random.randint(0, 1))
problem += temp
solution = hex(int(problem, 2))
return problem, solution
def multiplyComplexNumbersFunc(minRealImaginaryNum = -20, maxRealImaginaryNum = 20):
num1 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum))
num2 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum))
problem = f"{num1} * {num2} = "
solution = num1 * num2
return problem, solution
def GeomProgrFunc(number_values=6, min_value=2, max_value=12, n_term=7, sum_term=5): def GeomProgrFunc(number_values=6, min_value=2, max_value=12, n_term=7, sum_term=5):
r=random.randint(min_value,max_value) r=random.randint(min_value,max_value)
a=random.randint(min_value,max_value) a=random.randint(min_value,max_value)
@@ -934,78 +1008,130 @@ def GeomProgrFunc(number_values=6, min_value=2, max_value=12, n_term=7, sum_term
solution="The value of a is {}, common ratio is {} , {}th term is {} , sum upto {}th term is {}".format(a,r,n_term,value_nth_term,sum_term,sum_till_nth_term) solution="The value of a is {}, common ratio is {} , {}th term is {} , sum upto {}th term is {}".format(a,r,n_term,value_nth_term,sum_term,sum_till_nth_term)
return problem,solution return problem,solution
# || Class Instances # || Class Instances
# Format is: # Format is:
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>) # <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
addition = Generator("Addition", 0, "a+b=", "c", additionFunc) addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc) subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc)
multiplication = Generator("Multiplication", 2, "a*b=", "c", multiplicationFunc) multiplication = Generator(
"Multiplication", 2, "a*b=", "c", multiplicationFunc)
division = Generator("Division", 3, "a/b=", "c", divisionFunc) division = Generator("Division", 3, "a/b=", "c", divisionFunc)
binaryComplement1s = Generator("Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc) binaryComplement1s = Generator(
"Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc)
moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc) moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc)
squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc) squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc)
powerRuleDifferentiation = Generator("Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc) powerRuleDifferentiation = Generator(
"Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc)
square = Generator("Square", 8, "a^2", "b", squareFunc) square = Generator("Square", 8, "a^2", "b", squareFunc)
lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c", lcmFunc) lcm = Generator("LCM (Least Common Multiple)", 9,
gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ", "c", gcdFunc) "LCM of a and b = ", "c", lcmFunc)
basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc) gcd = Generator("GCD (Greatest Common Denominator)",
10, "GCD of a and b = ", "c", gcdFunc)
basicAlgebra = Generator(
"Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc)
log = Generator("Logarithm", 12, "log2(8)", "3", logFunc) log = Generator("Logarithm", 12, "log2(8)", "3", logFunc)
intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc) intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)
decimalToBinary = Generator("Decimal to Binary", 14, "Binary of a=", "b", DecimalToBinaryFunc) decimalToBinary = Generator("Decimal to Binary", 14,
binaryToDecimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b", BinaryToDecimalFunc) "Binary of a=", "b", DecimalToBinaryFunc)
fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc) binaryToDecimal = Generator("Binary to Decimal", 15,
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22) "Decimal of a=", "b", BinaryToDecimalFunc)
areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc) fractionDivision = Generator(
doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc) "Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
midPointOfTwoPoint = Generator("Midpoint of the two point", 20, "((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc) intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",
factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc) 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22, "Third Angle of the triangle = ", "angle3", thirdAngleOfTriangleFunc) areaOfTriangle = Generator(
systemOfEquations = Generator("Solve a System of Equations in R^2", 23, "2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3",systemOfEquationsFunc) "Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
distance2Point = Generator("Distance between 2 points", 24, "Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)", distanceTwoPointsFunc) doesTriangleExist = Generator("Triangle exists check", 19,
pythagoreanTheorem = Generator("Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc) "Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc)
linearEquations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc) # This has multiple variables whereas #23 has only x and y midPointOfTwoPoint = Generator("Midpoint of the two point", 20,
primeFactors = Generator("Prime Factorisation", 27, "Prime Factors of a =", "[b, c, d, ...]", primeFactorsFunc) "((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc)
fractionMultiplication = Generator("Fraction Multiplication", 28, "(a/b)*(c/d)=", "x/y", multiplyFractionsFunc) factoring = Generator("Factoring Quadratic", 21,
angleRegularPolygon = Generator("Angle of a Regular Polygon", 29, "Find the angle of a regular polygon with 6 sides", "120", regularPolygonAngleFunc) "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
combinations = Generator("Combinations of Objects", 30, "Combinations available for picking 4 objects at a time from 6 distinct objects =", " 15", combinationsFunc) thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22,
"Third Angle of the triangle = ", "angle3", thirdAngleOfTriangleFunc)
systemOfEquations = Generator("Solve a System of Equations in R^2", 23,
"2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3", systemOfEquationsFunc)
distance2Point = Generator("Distance between 2 points", 24,
"Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)", distanceTwoPointsFunc)
pythagoreanTheorem = Generator(
"Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc)
# This has multiple variables whereas #23 has only x and y
linearEquations = Generator(
"Linear Equations", 26, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc)
primeFactors = Generator("Prime Factorisation", 27,
"Prime Factors of a =", "[b, c, d, ...]", primeFactorsFunc)
fractionMultiplication = Generator(
"Fraction Multiplication", 28, "(a/b)*(c/d)=", "x/y", multiplyFractionsFunc)
angleRegularPolygon = Generator("Angle of a Regular Polygon", 29,
"Find the angle of a regular polygon with 6 sides", "120", regularPolygonAngleFunc)
combinations = Generator("Combinations of Objects", 30,
"Combinations available for picking 4 objects at a time from 6 distinct objects =", " 15", combinationsFunc)
factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc) factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc)
surfaceAreaCubeGen = Generator("Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube) surfaceAreaCubeGen = Generator(
surfaceAreaCuboidGen = Generator("Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid) "Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube)
surfaceAreaCylinderGen = Generator("Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder) surfaceAreaCuboidGen = Generator(
volumeCubeGen = Generator("Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube) "Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid)
volumeCuboidGen = Generator("Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid) surfaceAreaCylinderGen = Generator(
volumeCylinderGen = Generator("Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder) "Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder)
surfaceAreaConeGen = Generator("Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone) volumeCubeGen = Generator(
volumeConeGen = Generator("Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone) "Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube)
commonFactors = Generator("Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc) volumeCuboidGen = Generator(
intersectionOfTwoLines = Generator("Intersection of Two Lines", 41, "Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc) "Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid)
permutations = Generator("Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc) volumeCylinderGen = Generator(
vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c", vectorCrossFunc) "Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder)
compareFractions = Generator("Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc) surfaceAreaConeGen = Generator(
simpleInterest = Generator("Simple Interest", 45, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc) "Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone)
matrixMultiplication = Generator("Multiplication of two matrices", 46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc) volumeConeGen = Generator(
CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc) "Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone)
powerRuleIntegration = Generator("Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc) commonFactors = Generator(
fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49, "Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc) "Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc)
quadraticEquationSolve = Generator("Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation) intersectionOfTwoLines = Generator("Intersection of Two Lines", 41,
hcf = Generator("HCF (Highest Common Factor)", 51, "HCF of a and b = ", "c", hcfFunc) "Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc)
diceSumProbability=Generator("Probability of a certain sum appearing on faces of dice", 52,"If n dices are rolled then probabilty of getting sum of x is =","z", DiceSumProbFunc) permutations = Generator(
exponentiation = Generator("Exponentiation", 53,"a^b = ","c",exponentiationFunc) "Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc)
confidenceInterval = Generator("Confidence interval For sample S", 54, "With X% confidence", "is (A,B)", confidenceIntervalFunc) vectorCross = Generator("Cross Product of 2 Vectors",
surdsComparison = Generator("Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc) 43, "a X b = ", "c", vectorCrossFunc)
fibonacciSeries = Generator("Fibonacci Series", 56, "fibonacci series of first a numbers", "prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc) compareFractions = Generator(
basicTrigonometry=Generator("Trigonometric Values", 57, "What is sin(X)?", "ans", basicTrigonometryFunc) "Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc)
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58, "Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc) simpleInterest = Generator(
dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc) "Simple Interest", 45, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc)
surfaceAreaSphereGen = Generator("Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere) matrixMultiplication = Generator("Multiplication of two matrices",
volumeSphere=Generator("Volume of Sphere", 60, "Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc) 46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc)
geometricprogression=Generator("Geometric Progression", 61, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", GeomProgrFunc) CubeRoot = Generator(
"Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc)
powerRuleIntegration = Generator(
"Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc)
fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49,
"Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc)
quadraticEquationSolve = Generator(
"Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation)
hcf = Generator("HCF (Highest Common Factor)", 51,
"HCF of a and b = ", "c", hcfFunc)
diceSumProbability = Generator("Probability of a certain sum appearing on faces of dice",
52, "If n dices are rolled then probabilty of getting sum of x is =", "z", DiceSumProbFunc)
exponentiation = Generator(
"Exponentiation", 53, "a^b = ", "c", exponentiationFunc)
confidenceInterval = Generator("Confidence interval For sample S",
54, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
surdsComparison = Generator(
"Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc)
fibonacciSeries = Generator("Fibonacci Series", 56, "fibonacci series of first a numbers",
"prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc)
basicTrigonometry = Generator(
"Trigonometric Values", 57, "What is sin(X)?", "ans", basicTrigonometryFunc)
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58,
"Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc)
dataSummary = Generator("Mean,Standard Deviation,Variance",
59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc)
surfaceAreaSphereGen = Generator(
"Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere)
volumeSphere = Generator("Volume of Sphere", 60,
"Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc)
nthFibonacciNumberGen = Generator("nth Fibonacci number", 61, "What is the nth Fibonacci number", "Fn", nthFibonacciNumber)
profitLossPercent = Generator("Profit or Loss Percent", 62, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)
binaryToHex = Generator("Binary to Hexidecimal", 63, "Hexidecimal of a=", "b", BinaryToHexFunc)
ComplexNumMultiply = Generator("Multiplication of 2 complex numbers", 64, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc)
geometricprogression=Generator("Geometric Progression", 65, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", GeomProgrFunc)