complete restructure of the project. minor tweaks

This commit is contained in:
D-T-666
2020-10-18 19:03:56 +04:00
parent 4331db74d0
commit 3c1b02787f
65 changed files with 1145 additions and 900 deletions

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@@ -1,7 +1,7 @@
FLAKE_FLAGS = --ignore=E501,F401,F403,F405
lint:
python -m flake8 $(FLAKE_FLAGS)
python3 -m flake8 $(FLAKE_FLAGS)
test:
python -m pytest --verbose -s tests
python3 -m pytest --verbose -s tests

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from .__init__ import *
def BinaryToDecimalFunc(max_dig=10):
problem = ''
for i in range(random.randint(1, max_dig)):
temp = str(random.randint(0, 1))
problem += temp
solution = int(problem, 2)
return problem, solution

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from .__init__ import *
def DecimalToBinaryFunc(max_dec=99):
a = random.randint(1, max_dec)
b = bin(a).replace("0b", "")
problem = "Binary of " + str(a) + "="
solution = str(b)
return problem, solution

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from .__init__ import *
def DiceSumProbFunc(maxDice=3):
a = random.randint(1,maxDice)
b = random.randint(a,6*a)
count=0
for i in [1,2,3,4,5,6]:
if a==1:
if i==b:
count=count+1
elif a==2:
for j in [1,2,3,4,5,6]:
if i+j==b:
count=count+1
elif a==3:
for j in [1,2,3,4,5,6]:
for k in [1,2,3,4,5,6]:
if i+j+k==b:
count=count+1
problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(a,b)
solution="{}/{}".format(count, 6**a)
return problem, solution

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from .__init__ import *
def MidPointOfTwoPointFunc(maxValue=20):
x1 = random.randint(-20, maxValue)
y1 = random.randint(-20, maxValue)
x2 = random.randint(-20, maxValue)
y2 = random.randint(-20, maxValue)
problem = f"({x1},{y1}),({x2},{y2})="
solution = f"({(x1+x2)/2},{(y1+y2)/2})"
return problem, solution

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from .additionFunc import *
from .subtractionFunc import *
from .multiplicationFunc import *
from .divisionFunc import *
from .binaryComplement1sFunc import *
from .moduloFunc import *
from .squareRootFunc import *
from .powerRuleDifferentiationFunc import *
from .squareFunc import *
from .gcdFunc import *
from .lcmFunc import *
from .basicAlgebraFunc import *
from .logFunc import *
from .divisionToIntFunc import *
from .DecimalToBinaryFunc import *
from .BinaryToDecimalFunc import *
from .divideFractionsFunc import *
from .multiplyIntToMatrix22 import *
from .areaOfTriangleFunc import *
from .isTriangleValidFunc import *
from .MidPointOfTwoPointFunc import *
from .factoringFunc import *
from .thirdAngleOfTriangleFunc import *
from .systemOfEquationsFunc import *
from .distanceTwoPointsFunc import *
from .pythagoreanTheoremFunc import *
from .linearEquationsFunc import *
from .primeFactorsFunc import *
from .multiplyFractionsFunc import *
from .regularPolygonAngleFunc import *
from .combinationsFunc import *
from .factorialFunc import *
from .surfaceAreaCube import *
from .volumeCube import *
from .surfaceAreaCuboid import *
from .volumeCuboid import *
from .surfaceAreaCylinder import *
from .volumeCylinder import *
from .surfaceAreaCone import *
from .volumeCone import *
from .commonFactorsFunc import *
from .intersectionOfTwoLinesFunc import *
from .permutationFunc import *
from .vectorCrossFunc import *
from .compareFractionsFunc import *
from .simpleInterestFunc import *
from .matrixMultiplicationFunc import *
from .cubeRootFunc import *
from .powerRuleIntegrationFunc import *
from .fourthAngleOfQuadriFunc import *
from .quadraticEquation import *
from .DiceSumProbFunc import *
from .exponentiationFunc import *
from .confidenceIntervalFunc import *
from .surdsComparisonFunc import *
from .fibonacciSeriesFunc import *
from .basicTrigonometryFunc import *
from .sumOfAnglesOfPolygonFunc import *
from .dataSummaryFunc import *
from .surfaceAreaSphere import *
from .volumeSphereFunc import *

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from .__init__ import *
def additionFunc(maxSum=99, maxAddend=50):
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
c = a + b
problem = str(a) + "+" + str(b) + "="
solution = str(c)
return problem, solution

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from .__init__ import *
def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
a = random.randint(1, maxA)
b = random.randint(1, maxB)
c = random.randint(1, maxC)
s = (a + b + c) / 2
area = (s * (s - a) * (s - b) * (s - c)) ** 0.5
problem = "Area of triangle with side lengths: " + str(a) + " " + str(b) + " " + str(c) + " = "
solution = area
return problem, solution

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from .__init__ import *
def basicAlgebraFunc(maxVariable=10):
a = random.randint(1, maxVariable)
b = random.randint(1, maxVariable)
c = random.randint(b, maxVariable)
# calculate gcd
def calculate_gcd(x, y):
while(y):
x, y = y, x % y
return x
i = calculate_gcd((c - b), a)
x = f"{(c - b)//i}/{a//i}"
if (c - b == 0):
x = "0"
elif a == 1 or a == i:
x = f"{c - b}"
problem = f"{a}x + {b} = {c}"
solution = x
return problem, solution

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from .__init__ import *
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})?"
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"}
solution=result_fraction_map[round(eval(expression),2)] if round(eval(expression),2)<=99999 else "" #for handling the ∞ condition
return problem,solution

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from .__init__ import *
def binaryComplement1sFunc(maxDigits=10):
question = ''
answer = ''
for i in range(random.randint(1, maxDigits)):
temp = str(random.randint(0, 1))
question += temp
answer += "0" if temp == "1" else "1"
problem = question+"="
solution = answer
return problem, solution

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from .__init__ import *
def combinationsFunc(maxlength=20):
def factorial(a):
d = 1
for i in range(a):
a = (i + 1) * d
d = a
return d
a = random.randint(10, maxlength)
b = random.randint(0, 9)
solution = int(factorial(a) / (factorial(b) * factorial(a - b)))
problem = "Number of combinations from {} objects picked {} at a time ".format(a, b)
return problem, solution

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from .__init__ import *
def commonFactorsFunc(maxVal=100):
a = x = random.randint(1, maxVal)
b = y = random.randint(1, maxVal)
if (x < y):
min = x
else:
min = y
count = 0
arr = []
for i in range(1, min + 1):
if (x % i == 0):
if (y % i == 0):
count = count + 1
arr.append(i)
problem = f"Common Factors of {a} and {b} = "
solution = arr
return problem, solution

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from .__init__ import *
def compareFractionsFunc(maxVal=10):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
c = random.randint(1, maxVal)
d = random.randint(1, maxVal)
while (a == b):
b = random.randint(1, maxVal)
while (c == d):
d = random.randint(1, maxVal)
first = a / b
second = c / d
if(first > second):
solution = ">"
elif(first < second):
solution = "<"
else:
solution = "="
problem = f"Which symbol represents the comparison between {a}/{b} and {c}/{d}?"
return problem, solution

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from .__init__ import *
def confidenceIntervalFunc():
n=random.randint(20,40)
j=random.randint(0,3)
lst=random.sample(range(200,300),n)
lst_per=[80 ,90, 95, 99]
lst_t = [1.282, 1.645, 1.960, 2.576]
mean=0
sd=0
for i in lst:
count= i + mean
mean=count
mean = mean/n
for i in lst:
x=(i-mean)**2+sd
sd=x
sd=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])
solution= '({}, {})'.format(mean+standard_error, mean-standard_error)
return problem, solution

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from .__init__ import *
def cubeRootFunc(minNo=1, maxNo=1000):
b = random.randint(minNo, maxNo)
a = b**(1 / 3)
problem = "cuberoot of " + str(b) + " upto 2 decimal places is:"
solution = str(round(a, 2))
return problem, solution

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from .__init__ import *
def dataSummaryFunc(number_values=15,minval=5,maxval=50):
random_list=[]
for i in range(number_values):
n=random.randint(minval,maxval)
random_list.append(n)
a=sum(random_list)
mean=a/number_values
var=0
for i in range(number_values):
var+=(random_list[i]-mean)**2
# we're printing stuff here?
print(random_list)
print(mean)
print(var/number_values)
print((var/number_values)**0.5)
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)
return problem,solution

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from .__init__ import *
def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
point1X = random.randint(minValXY, maxValXY + 1)
point1Y = random.randint(minValXY, maxValXY + 1)
point2X = random.randint(minValXY, maxValXY + 1)
point2Y = random.randint(minValXY, maxValXY + 1)
distanceSq = (point1X - point2X) ** 2 + (point1Y - point2Y) ** 2
solution = f"sqrt({distanceSq})"
problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})"
return problem, solution

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from .__init__ import *
def divideFractionsFunc(maxVal=10):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
while (a == b):
b = random.randint(1, maxVal)
c = random.randint(1, maxVal)
d = random.randint(1, maxVal)
while (c == d):
d = random.randint(1, maxVal)
def calculate_gcd(x, y):
while(y):
x, y = y, x % y
return x
tmp_n = a * d
tmp_d = b * c
gcd = calculate_gcd(tmp_n, tmp_d)
x = f"{tmp_n//gcd}/{tmp_d//gcd}"
if (tmp_d == 1 or tmp_d == gcd):
x = f"{tmp_n//gcd}"
# for equal numerator and denominators
problem = f"({a}/{b})/({c}/{d})"
solution = x
return problem, solution

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from .__init__ import *
def divisionFunc(maxRes=99, maxDivid=99):
a = random.randint(0, maxDivid)
b = random.randint(0, min(maxRes, maxDivid))
c = a / b
problem = str(a) + "/" + str(b) + "="
solution = str(c)
return problem, solution

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from .__init__ import *
def divisionToIntFunc(maxA=25, maxB=25):
a = random.randint(1, maxA)
b = random.randint(1, maxB)
divisor = a * b
dividend = random.choice([a, b])
problem = f"{divisor}/{dividend} = "
solution = int(divisor / dividend)
return problem, solution

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from .__init__ import *
def exponentiationFunc(maxBase = 20,maxExpo = 10):
base = random.randint(1, maxBase)
expo = random.randint(1, maxExpo)
problem = f"{base}^{expo} ="
solution = str(base ** expo)
return problem, solution

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from .__init__ import *
def factorialFunc(maxInput=6):
a = random.randint(0, maxInput)
n = a
problem = str(a) + "! = "
b = 1
while a != 1 and n > 0:
b *= n
n -= 1
solution = str(b)
return problem, solution

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from .__init__ import *
def factoringFunc(range_x1=10, range_x2=10):
x1 = random.randint(-range_x1, range_x1)
x2 = random.randint(-range_x2, range_x2)
def intParser(z):
if (z == 0):
return ""
if (z > 0):
return "+" + str(z)
if (z < 0):
return "-" + str(abs(z))
b = intParser(x1 + x2)
c = intParser(x1 * x2)
if b == "+1":
b = "+"
if b == "":
problem = f"x^2{c}"
else:
problem = f"x^2{b}x{c}"
x1 = intParser(x1)
x2 = intParser(x2)
solution = f"(x{x1})(x{x2})"
return problem, solution

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from .__init__ import *
def fibonacciSeriesFunc(minNo=1):
n = random.randint(minNo,20)
def createFibList(n):
l=[]
for i in range(n):
if i<2:
l.append(i)
else:
val = l[i-1]+l[i-2]
l.append(val)
return l
fibList=createFibList(n)
problem = "The Fibonacci Series of the first "+str(n)+" numbers is ?"
solution = fibList
return problem,solution

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from .__init__ import *
def fourthAngleOfQuadriFunc(maxAngle=180):
angle1 = random.randint(1, maxAngle)
angle2 = random.randint(1, 240 - angle1)
angle3 = random.randint(1, 340 - (angle1 + angle2))
sum_ = angle1 + angle2 + angle3
angle4 = 360 - sum_
problem = f"Fourth angle of quadrilateral with angles {angle1} , {angle2}, {angle3} ="
solution = angle4
return problem, solution

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from .__init__ import *
def gcdFunc(maxVal=20):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
x, y = a, b
while y:
x, y = y, x % y
problem = f"GCD of {a} and {b} = "
solution = str(x)
return problem, solution

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from .__init__ import *
def intersectionOfTwoLinesFunc(
minM=-10, maxM=10, minB=-10, maxB=10, minDenominator=1, maxDenominator=6
):
def generateEquationString(m, b):
"""
Generates an equation given the slope and intercept.
It handles cases where m is fractional.
It also ensures that we don't have weird signs such as y = mx + -b.
"""
if m[1] == 1:
m = m[0]
else:
m = f"{m[0]}/{m[1]}"
base = f"y = {m}x"
if b > 0:
return f"{base} + {b}"
elif b < 0:
return f"{base} - {b * -1}"
else:
return base
def fractionToString(x):
"""
Converts the given fractions.Fraction into a string.
"""
if x.denominator == 1:
x = x.numerator
else:
x = f"{x.numerator}/{x.denominator}"
return x
m1 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator))
m2 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator))
b1 = random.randint(minB, maxB)
b2 = random.randint(minB, maxB)
equation1 = generateEquationString(m1, b1)
equation2 = generateEquationString(m2, b2)
problem = "Find the point of intersection of the two lines: "
problem += f"{equation1} and {equation2}"
m1 = fractions.Fraction(*m1)
m2 = fractions.Fraction(*m2)
# if m1 == m2 then the slopes are equal
# This can happen if both line are the same
# Or if they are parallel
# In either case there is no intersection
if m1 == m2:
solution = "No Solution"
else:
intersection_x = (b1 - b2) / (m2 - m1)
intersection_y = ((m2 * b1) - (m1 * b2)) / (m2 - m1)
solution = f"({fractionToString(intersection_x)}, {fractionToString(intersection_y)})"
return problem, solution

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from .__init__ import *
def isTriangleValidFunc(maxSideLength=50):
sideA = random.randint(1, maxSideLength)
sideB = random.randint(1, maxSideLength)
sideC = random.randint(1, maxSideLength)
sideSums = [sideA + sideB, sideB + sideC, sideC + sideA]
sides = [sideC, sideA, sideB]
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?"
if exists:
solution = "Yes"
return problem, solution
solution = "No"
return problem, solution

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from .__init__ import *
def lcmFunc(maxVal=20):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
c = a * b
x, y = a, b
while y:
x, y = y, x % y
d = c // x
problem = f"LCM of {a} and {b} ="
solution = str(d)
return problem, solution

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from .__init__ import *
def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
if n > 10:
print("[!] n cannot be greater than 10")
return None, None
vars = ['x', 'y', 'z', 'a', 'b', 'c', 'd', 'e', 'f', 'g'][:n]
soln = [random.randint(-varRange, varRange) for i in range(n)]
problem = list()
solution = ", ".join(["{} = {}".format(vars[i], soln[i]) for i in range(n)])
for _ in range(n):
coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)]
res = sum([coeff[i] * soln[i] for i in range(n)])
prob = ["{}{}".format(coeff[i], vars[i]) if coeff[i] != 0 else "" for i in range(n)]
while "" in prob:
prob.remove("")
prob = " + ".join(prob) + " = " + str(res)
problem.append(prob)
problem = "\n".join(problem)
return problem, solution

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from .__init__ import *
def logFunc(maxBase=3, maxVal=8):
a = random.randint(1, maxVal)
b = random.randint(2, maxBase)
c = pow(b, a)
problem = "log" + str(b) + "(" + str(c) + ")"
solution = str(a)
return problem, solution

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from .__init__ import *
def matrixMultiplicationFunc(maxVal=100):
m = random.randint(2, 10)
n = random.randint(2, 10)
k = random.randint(2, 10)
# generate matrices a and b
a = []
for r in range(m):
a.append([])
for c in range(n):
a[r].append(random.randint(-maxVal, maxVal))
b = []
for r in range(n):
b.append([])
for c in range(k):
b[r].append(random.randint(-maxVal, maxVal))
res = []
a_string = matrixMultiplicationFuncHelper(a)
b_string = matrixMultiplicationFuncHelper(b)
for r in range(m):
res.append([])
for c in range(k):
temp = 0
for t in range(n):
temp += a[r][t] * b[t][c]
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
solution = matrixMultiplicationFuncHelper(res)
return problem, solution
def matrixMultiplicationFuncHelper(inp):
m = len(inp)
n = len(inp[0])
string = ""
for i in range(m):
for j in range(n):
string += f"{inp[i][j]: 6d}"
string += " "
string += "\n"
return string

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from .__init__ import *
def moduloFunc(maxRes=99, maxModulo=99):
a = random.randint(0, maxModulo)
b = random.randint(0, min(maxRes, maxModulo))
c = a % b
problem = str(a) + "%" + str(b) + "="
solution = str(c)
return problem, solution

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from .__init__ import *
def multiplicationFunc(maxRes=99, maxMulti=99):
a = random.randint(0, maxMulti)
b = random.randint(0, min(int(maxMulti / a), maxRes))
c = a * b
problem = str(a) + "*" + str(b) + "="
solution = str(c)
return problem, solution

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from .__init__ import *
def multiplyFractionsFunc(maxVal=10):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
c = random.randint(1, maxVal)
d = random.randint(1, maxVal)
while (a == b):
b = random.randint(1, maxVal)
while (c == d):
d = random.randint(1, maxVal)
def calculate_gcd(x, y):
while(y):
x, y = y, x % y
return x
tmp_n = a * c
tmp_d = b * d
gcd = calculate_gcd(tmp_n, tmp_d)
x = f"{tmp_n//gcd}/{tmp_d//gcd}"
if (tmp_d == 1 or tmp_d == gcd):
x = f"{tmp_n//gcd}"
problem = f"({a}/{b})*({c}/{d})"
solution = x
return problem, solution

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from .__init__ import *
def multiplyIntToMatrix22(maxMatrixVal=10, maxRes=100):
a = random.randint(0, maxMatrixVal)
b = random.randint(0, maxMatrixVal)
c = random.randint(0, maxMatrixVal)
d = random.randint(0, maxMatrixVal)
constant = random.randint(0, int(maxRes / max(a, b, c, d)))
problem = f"{constant} * [[{a}, {b}], [{c}, {d}]] = "
solution = f"[[{a*constant},{b*constant}],[{c*constant},{d*constant}]]"
return problem, solution

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from .__init__ import *
def permutationFunc(maxlength=20):
a = random.randint(10, maxlength)
b = random.randint(0, 9)
solution = int(math.factorial(a) / (math.factorial(a - b)))
problem = "Number of Permutations from {} objects picked {} at a time = ".format(a, b)
return problem, solution

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from .__init__ import *
def powerRuleDifferentiationFunc(maxCoef=10, maxExp=10, maxTerms=5):
numTerms = random.randint(1, maxTerms)
problem = ""
solution = ""
for i in range(numTerms):
if i > 0:
problem += " + "
solution += " + "
coefficient = random.randint(1, maxCoef)
exponent = random.randint(1, maxExp)
problem += str(coefficient) + "x^" + str(exponent)
solution += str(coefficient * exponent) + "x^" + str(exponent - 1)
return problem, solution

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from .__init__ import *
def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
numTerms = random.randint(1, maxTerms)
problem = ""
solution = ""
for i in range(numTerms):
if i > 0:
problem += " + "
solution += " + "
coefficient = random.randint(1, maxCoef)
exponent = random.randint(1, maxExp)
problem += str(coefficient) + "x^" + str(exponent)
solution += "(" + str(coefficient) + "/" + str(exponent) + ")x^" + str(exponent + 1)
solution += " + c"
return problem, solution

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@@ -0,0 +1,22 @@
from .__init__ import *
def primeFactorsFunc(minVal=1, maxVal=200):
a = random.randint(minVal, maxVal)
n = a
i = 2
factors = []
while i * i <= n:
if n % i:
i += 1
else:
n //= i
factors.append(i)
if n > 1:
factors.append(n)
problem = f"Find prime factors of {a}"
solution = f"{factors}"
return problem, solution

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@@ -0,0 +1,11 @@
from .__init__ import *
def pythagoreanTheoremFunc(maxLength=20):
a = random.randint(1, maxLength)
b = random.randint(1, maxLength)
c = (a**2 + b**2)**0.5
problem = f"The hypotenuse of a right triangle given the other two lengths {a} and {b} = "
solution = f"{c:.0f}" if c.is_integer() else f"{c:.2f}"
return problem, solution

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@@ -0,0 +1,12 @@
from .__init__ import *
def quadraticEquation(maxVal=100):
a = 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)))
problem = "Zeros of the Quadratic Equation {}x^2+{}x+{}=0".format(a, b, c)
D = math.sqrt(b * b - 4 * a * c)
solution = str([round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)])
return problem, solution

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@@ -0,0 +1,10 @@
from .__init__ import *
def regularPolygonAngleFunc(minVal=3, maxVal=20):
sideNum = random.randint(minVal, maxVal)
problem = f"Find the angle of a regular polygon with {sideNum} sides"
exteriorAngle = round((360 / sideNum), 2)
solution = 180 - exteriorAngle
return problem, solution

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@@ -0,0 +1,12 @@
from .__init__ import *
def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
a = random.randint(1000, maxPrinciple)
b = random.randint(1, maxRate)
c = random.randint(1, maxTime)
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 = "
solution = round(d, 2)
return problem, solution

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@@ -0,0 +1,10 @@
from .__init__ import *
def squareFunc(maxSquareNum=20):
a = random.randint(1, maxSquareNum)
b = a * a
problem = str(a) + "^2" + "="
solution = str(b)
return problem, solution

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@@ -0,0 +1,10 @@
from .__init__ import *
def squareRootFunc(minNo=1, maxNo=12):
b = random.randint(minNo, maxNo)
a = b * b
problem = "sqrt(" + str(a) + ")="
solution = str(b)
return problem, solution

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@@ -0,0 +1,11 @@
from .__init__ import *
def subtractionFunc(maxMinuend=99, maxDiff=99):
a = random.randint(0, maxMinuend)
b = random.randint(max(0, (a - maxDiff)), a)
c = a - b
problem = str(a) + "-" + str(b) + "="
solution = str(c)
return problem, solution

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@@ -0,0 +1,10 @@
from .__init__ import *
def sumOfAnglesOfPolygonFunc(maxSides = 12):
side = random.randint(3, maxSides)
sum = (side - 2) * 180
problem = f"Sum of angles of polygon with {side} sides = "
solution = sum
return problem, solution

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@@ -0,0 +1,17 @@
from .__init__ import *
def surdsComparisonFunc(maxValue = 100, maxRoot = 10):
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})"
first = math.pow(radicand1, 1/degree1)
second = math.pow(radicand2, 1/degree2)
solution = "="
if first > second:
solution = ">"
elif first < second:
solution = "<"
return problem, solution

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@@ -0,0 +1,13 @@
from .__init__ import *
def surfaceAreaCone(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
slopingHeight = math.sqrt(a**2 + b**2)
problem = f"Surface area of cone with height = {a}{unit} and radius = {b}{unit} is"
ans = int(math.pi * b * slopingHeight + math.pi * b * b)
solution = f"{ans} {unit}^2"
return problem, solution

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@@ -0,0 +1,9 @@
from .__init__ import *
def surfaceAreaCube(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
problem = f"Surface area of cube with side = {a}{unit} is"
ans = 6 * a * a
solution = f"{ans} {unit}^2"
return problem, solution

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@@ -0,0 +1,12 @@
from .__init__ import *
def surfaceAreaCuboid(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
b = random.randint(1, maxSide)
c = random.randint(1, maxSide)
problem = f"Surface area of cuboid with sides = {a}{unit}, {b}{unit}, {c}{unit} is"
ans = 2 * (a * b + b * c + c * a)
solution = f"{ans} {unit}^2"
return problem, solution

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@@ -0,0 +1,11 @@
from .__init__ import *
def surfaceAreaCylinder(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
problem = f"Surface area of cylinder with height = {a}{unit} and radius = {b}{unit} is"
ans = int(2 * math.pi * a * b + 2 * math.pi * b * b)
solution = f"{ans} {unit}^2"
return problem, solution

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@@ -0,0 +1,10 @@
from .__init__ import *
def surfaceAreaSphere(maxSide = 20, unit = 'm'):
r = random.randint(1, maxSide)
problem = f"Surface area of Sphere with radius = {r}{unit} is"
ans = 4 * math.pi * r * r
solution = f"{ans} {unit}^2"
return problem, solution

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@@ -0,0 +1,45 @@
from .__init__ import *
def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
# Generate solution point first
x = random.randint(-range_x, range_x)
y = random.randint(-range_y, range_y)
# Start from reduced echelon form (coeffs 1)
c1 = [1, 0, x]
c2 = [0, 1, y]
def randNonZero():
return random.choice([i for i in range(-coeff_mult_range, coeff_mult_range)
if i != 0])
# Add random (non-zero) multiple of equations (rows) to each other
c1_mult = randNonZero()
c2_mult = randNonZero()
new_c1 = [c1[i] + c1_mult * c2[i] for i in range(len(c1))]
new_c2 = [c2[i] + c2_mult * c1[i] for i in range(len(c2))]
# For extra randomness, now add random (non-zero) multiples of original rows
# to themselves
c1_mult = randNonZero()
c2_mult = randNonZero()
new_c1 = [new_c1[i] + c1_mult * c1[i] for i in range(len(c1))]
new_c2 = [new_c2[i] + c2_mult * c2[i] for i in range(len(c2))]
def coeffToFuncString(coeffs):
# lots of edge cases for perfect formatting!
x_sign = '-' if coeffs[0] < 0 else ''
# No redundant 1s
x_coeff = str(abs(coeffs[0])) if abs(coeffs[0]) != 1 else ''
# If x coeff is 0, dont include x
x_str = f'{x_sign}{x_coeff}x' if coeffs[0] != 0 else ''
# if x isn't included and y is positive, dont include operator
op = ' - ' if coeffs[1] < 0 else (' + ' if x_str != '' else '')
# No redundant 1s
y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else ''
# 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')
return f'{x_str}{op}{y_str} = {coeffs[2]}'
problem = f"{coeffToFuncString(new_c1)}, {coeffToFuncString(new_c2)}"
solution = f"x = {x}, y = {y}"
return problem, solution
# Add random (non-zero) multiple of equations to each other

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@@ -0,0 +1,11 @@
from .__init__ import *
def thirdAngleOfTriangleFunc(maxAngle=89):
angle1 = random.randint(1, maxAngle)
angle2 = random.randint(1, maxAngle)
angle3 = 180 - (angle1 + angle2)
problem = f"Third angle of triangle with angles {angle1} and {angle2} = "
solution = angle3
return problem, solution

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@@ -0,0 +1,13 @@
from .__init__ import *
def vectorCrossFunc(minVal=-20, maxVal=20):
a = [random.randint(minVal, maxVal) for i in range(3)]
b = [random.randint(minVal, maxVal) for i in range(3)]
c = [a[1] * b[2] - a[2] * b[1],
a[2] * b[0] - a[0] * b[2],
a[0] * b[1] - a[1] * b[0]]
problem = str(a) + " X " + str(b) + " = "
solution = str(c)
return problem, solution

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@@ -0,0 +1,11 @@
from .__init__ import *
def volumeCone(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
problem = f"Volume of cone with height = {a}{unit} and radius = {b}{unit} is"
ans = int(math.pi * b * b * a * (1 / 3))
solution = f"{ans} {unit}^3"
return problem, solution

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@@ -0,0 +1,10 @@
from .__init__ import *
def volumeCube(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
problem = f"Volume of cube with side = {a}{unit} is"
ans = a * a * a
solution = f"{ans} {unit}^3"
return problem, solution

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@@ -0,0 +1,12 @@
from .__init__ import *
def volumeCuboid(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
b = random.randint(1, maxSide)
c = random.randint(1, maxSide)
problem = f"Volume of cuboid with sides = {a}{unit}, {b}{unit}, {c}{unit} is"
ans = a * b * c
solution = f"{ans} {unit}^3"
return problem, solution

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@@ -0,0 +1,11 @@
from .__init__ import *
def volumeCylinder(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
problem = f"Volume of cylinder with height = {a}{unit} and radius = {b}{unit} is"
ans = int(math.pi * b * b * a)
solution = f"{ans} {unit}^3"
return problem, solution

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@@ -0,0 +1,10 @@
from .__init__ import *
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

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@@ -1,6 +1,7 @@
import random
import math
import fractions
from .funcs import *
genList = []
@@ -27,901 +28,13 @@ def genById(id):
generator = genList[id][2]
return(generator())
#
def getGenList():
return(genList)
# || Generator Functions
def additionFunc(maxSum=99, maxAddend=50):
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
c = a + b
problem = str(a) + "+" + str(b) + "="
solution = str(c)
return problem, solution
def subtractionFunc(maxMinuend=99, maxDiff=99):
a = random.randint(0, maxMinuend)
b = random.randint(max(0, (a - maxDiff)), a)
c = a - b
problem = str(a) + "-" + str(b) + "="
solution = str(c)
return problem, solution
def multiplicationFunc(maxRes=99, maxMulti=99):
a = random.randint(0, maxMulti)
b = random.randint(0, min(int(maxMulti / a), maxRes))
c = a * b
problem = str(a) + "*" + str(b) + "="
solution = str(c)
return problem, solution
def divisionFunc(maxRes=99, maxDivid=99):
a = random.randint(0, maxDivid)
b = random.randint(0, min(maxRes, maxDivid))
c = a / b
problem = str(a) + "/" + str(b) + "="
solution = str(c)
return problem, solution
def binaryComplement1sFunc(maxDigits=10):
question = ''
answer = ''
for i in range(random.randint(1, maxDigits)):
temp = str(random.randint(0, 1))
question += temp
answer += "0" if temp == "1" else "1"
problem = question+"="
solution = answer
return problem, solution
def moduloFunc(maxRes=99, maxModulo=99):
a = random.randint(0, maxModulo)
b = random.randint(0, min(maxRes, maxModulo))
c = a % b
problem = str(a) + "%" + str(b) + "="
solution = str(c)
return problem, solution
def squareRootFunc(minNo=1, maxNo=12):
b = random.randint(minNo, maxNo)
a = b * b
problem = "sqrt(" + str(a) + ")="
solution = str(b)
return problem, solution
def powerRuleDifferentiationFunc(maxCoef=10, maxExp=10, maxTerms=5):
numTerms = random.randint(1, maxTerms)
problem = ""
solution = ""
for i in range(numTerms):
if i > 0:
problem += " + "
solution += " + "
coefficient = random.randint(1, maxCoef)
exponent = random.randint(1, maxExp)
problem += str(coefficient) + "x^" + str(exponent)
solution += str(coefficient * exponent) + "x^" + str(exponent - 1)
return problem, solution
def squareFunc(maxSquareNum=20):
a = random.randint(1, maxSquareNum)
b = a * a
problem = str(a) + "^2" + "="
solution = str(b)
return problem, solution
def gcdFunc(maxVal=20):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
x, y = a, b
while(y):
x, y = y, x % y
problem = f"GCD of {a} and {b} = "
solution = str(x)
return problem, solution
def lcmFunc(maxVal=20):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
x, y = a, b
c = a * b
while(y):
x, y = y, x % y
d = c // x
problem = f"LCM of {a} and {b} ="
solution = str(d)
return problem, solution
def basicAlgebraFunc(maxVariable=10):
a = random.randint(1, maxVariable)
b = random.randint(1, maxVariable)
c = random.randint(b, maxVariable)
# calculate gcd
def calculate_gcd(x, y):
while(y):
x, y = y, x % y
return x
i = calculate_gcd((c - b), a)
x = f"{(c - b)//i}/{a//i}"
if (c - b == 0):
x = "0"
elif a == 1 or a == i:
x = f"{c - b}"
problem = f"{a}x + {b} = {c}"
solution = x
return problem, solution
def logFunc(maxBase=3, maxVal=8):
a = random.randint(1, maxVal)
b = random.randint(2, maxBase)
c = pow(b, a)
problem = "log" + str(b) + "(" + str(c) + ")"
solution = str(a)
return problem, solution
def divisionToIntFunc(maxA=25, maxB=25):
a = random.randint(1, maxA)
b = random.randint(1, maxB)
divisor = a * b
dividend = random.choice([a, b])
problem = f"{divisor}/{dividend} = "
solution = int(divisor / dividend)
return problem, solution
def DecimalToBinaryFunc(max_dec=99):
a = random.randint(1, max_dec)
b = bin(a).replace("0b", "")
problem = "Binary of " + str(a) + "="
solution = str(b)
return problem, solution
def BinaryToDecimalFunc(max_dig=10):
problem = ''
for i in range(random.randint(1, max_dig)):
temp = str(random.randint(0, 1))
problem += temp
solution = int(problem, 2)
return problem, solution
def divideFractionsFunc(maxVal=10):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
while (a == b):
b = random.randint(1, maxVal)
c = random.randint(1, maxVal)
d = random.randint(1, maxVal)
while (c == d):
d = random.randint(1, maxVal)
def calculate_gcd(x, y):
while(y):
x, y = y, x % y
return x
tmp_n = a * d
tmp_d = b * c
gcd = calculate_gcd(tmp_n, tmp_d)
x = f"{tmp_n//gcd}/{tmp_d//gcd}"
if (tmp_d == 1 or tmp_d == gcd):
x = f"{tmp_n//gcd}"
# for equal numerator and denominators
problem = f"({a}/{b})/({c}/{d})"
solution = x
return problem, solution
def multiplyIntToMatrix22(maxMatrixVal=10, maxRes=100):
a = random.randint(0, maxMatrixVal)
b = random.randint(0, maxMatrixVal)
c = random.randint(0, maxMatrixVal)
d = random.randint(0, maxMatrixVal)
constant = random.randint(0, int(maxRes / max(a, b, c, d)))
problem = f"{constant} * [[{a}, {b}], [{c}, {d}]] = "
solution = f"[[{a*constant},{b*constant}],[{c*constant},{d*constant}]]"
return problem, solution
def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
a = random.randint(1, maxA)
b = random.randint(1, maxB)
c = random.randint(1, maxC)
s = (a + b + c) / 2
area = (s * (s - a) * (s - b) * (s - c)) ** 0.5
problem = "Area of triangle with side lengths: " + str(a) + " " + str(b) + " " + str(c) + " = "
solution = area
return problem, solution
def isTriangleValidFunc(maxSideLength=50):
sideA = random.randint(1, maxSideLength)
sideB = random.randint(1, maxSideLength)
sideC = random.randint(1, maxSideLength)
sideSums = [sideA + sideB, sideB + sideC, sideC + sideA]
sides = [sideC, sideA, sideB]
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?"
if exists:
solution = "Yes"
return problem, solution
solution = "No"
return problem, solution
def MidPointOfTwoPointFunc(maxValue=20):
x1 = random.randint(-20, maxValue)
y1 = random.randint(-20, maxValue)
x2 = random.randint(-20, maxValue)
y2 = random.randint(-20, maxValue)
problem = f"({x1},{y1}),({x2},{y2})="
solution = f"({(x1+x2)/2},{(y1+y2)/2})"
return problem, solution
def factoringFunc(range_x1=10, range_x2=10):
x1 = random.randint(-range_x1, range_x1)
x2 = random.randint(-range_x2, range_x2)
def intParser(z):
if (z == 0):
return ""
if (z > 0):
return "+" + str(z)
if (z < 0):
return "-" + str(abs(z))
b = intParser(x1 + x2)
c = intParser(x1 * x2)
if (b == "+1"):
b = "+"
if (b == ""):
problem = f"x^2{c}"
else:
problem = f"x^2{b}x{c}"
x1 = intParser(x1)
x2 = intParser(x2)
solution = f"(x{x1})(x{x2})"
return problem, solution
def thirdAngleOfTriangleFunc(maxAngle=89):
angle1 = random.randint(1, maxAngle)
angle2 = random.randint(1, maxAngle)
angle3 = 180 - (angle1 + angle2)
problem = f"Third angle of triangle with angles {angle1} and {angle2} = "
solution = angle3
return problem, solution
def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
# Generate solution point first
x = random.randint(-range_x, range_x)
y = random.randint(-range_y, range_y)
# Start from reduced echelon form (coeffs 1)
c1 = [1, 0, x]
c2 = [0, 1, y]
def randNonZero():
return random.choice([i for i in range(-coeff_mult_range, coeff_mult_range)
if i != 0])
# Add random (non-zero) multiple of equations (rows) to each other
c1_mult = randNonZero()
c2_mult = randNonZero()
new_c1 = [c1[i] + c1_mult * c2[i] for i in range(len(c1))]
new_c2 = [c2[i] + c2_mult * c1[i] for i in range(len(c2))]
# For extra randomness, now add random (non-zero) multiples of original rows
# to themselves
c1_mult = randNonZero()
c2_mult = randNonZero()
new_c1 = [new_c1[i] + c1_mult * c1[i] for i in range(len(c1))]
new_c2 = [new_c2[i] + c2_mult * c2[i] for i in range(len(c2))]
def coeffToFuncString(coeffs):
# lots of edge cases for perfect formatting!
x_sign = '-' if coeffs[0] < 0 else ''
# No redundant 1s
x_coeff = str(abs(coeffs[0])) if abs(coeffs[0]) != 1 else ''
# If x coeff is 0, dont include x
x_str = f'{x_sign}{x_coeff}x' if coeffs[0] != 0 else ''
# if x isn't included and y is positive, dont include operator
op = ' - ' if coeffs[1] < 0 else (' + ' if x_str != '' else '')
# No redundant 1s
y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else ''
# 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')
return f'{x_str}{op}{y_str} = {coeffs[2]}'
problem = f"{coeffToFuncString(new_c1)}, {coeffToFuncString(new_c2)}"
solution = f"x = {x}, y = {y}"
return problem, solution
# Add random (non-zero) multiple of equations to each other
def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
point1X = random.randint(minValXY, maxValXY + 1)
point1Y = random.randint(minValXY, maxValXY + 1)
point2X = random.randint(minValXY, maxValXY + 1)
point2Y = random.randint(minValXY, maxValXY + 1)
distanceSq = (point1X - point2X) ** 2 + (point1Y - point2Y) ** 2
solution = f"sqrt({distanceSq})"
problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})"
return problem, solution
def pythagoreanTheoremFunc(maxLength=20):
a = random.randint(1, maxLength)
b = random.randint(1, maxLength)
c = (a**2 + b**2)**0.5
problem = f"The hypotenuse of a right triangle given the other two lengths {a} and {b} = "
solution = f"{c:.0f}" if c.is_integer() else f"{c:.2f}"
return problem, solution
def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
if n > 10:
print("[!] n cannot be greater than 10")
return None, None
vars = ['x', 'y', 'z', 'a', 'b', 'c', 'd', 'e', 'f', 'g'][:n]
soln = [random.randint(-varRange, varRange) for i in range(n)]
problem = list()
solution = ", ".join(["{} = {}".format(vars[i], soln[i]) for i in range(n)])
for _ in range(n):
coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)]
res = sum([coeff[i] * soln[i] for i in range(n)])
prob = ["{}{}".format(coeff[i], vars[i]) if coeff[i] != 0 else "" for i in range(n)]
while "" in prob:
prob.remove("")
prob = " + ".join(prob) + " = " + str(res)
problem.append(prob)
problem = "\n".join(problem)
return problem, solution
def primeFactorsFunc(minVal=1, maxVal=200):
a = random.randint(minVal, maxVal)
n = a
i = 2
factors = []
while i * i <= n:
if n % i:
i += 1
else:
n //= i
factors.append(i)
if n > 1:
factors.append(n)
problem = f"Find prime factors of {a}"
solution = f"{factors}"
return problem, solution
def multiplyFractionsFunc(maxVal=10):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
c = random.randint(1, maxVal)
d = random.randint(1, maxVal)
while (a == b):
b = random.randint(1, maxVal)
while (c == d):
d = random.randint(1, maxVal)
def calculate_gcd(x, y):
while(y):
x, y = y, x % y
return x
tmp_n = a * c
tmp_d = b * d
gcd = calculate_gcd(tmp_n, tmp_d)
x = f"{tmp_n//gcd}/{tmp_d//gcd}"
if (tmp_d == 1 or tmp_d == gcd):
x = f"{tmp_n//gcd}"
problem = f"({a}/{b})*({c}/{d})"
solution = x
return problem, solution
def regularPolygonAngleFunc(minVal=3, maxVal=20):
sideNum = random.randint(minVal, maxVal)
problem = f"Find the angle of a regular polygon with {sideNum} sides"
exteriorAngle = round((360 / sideNum), 2)
solution = 180 - exteriorAngle
return problem, solution
def combinationsFunc(maxlength=20):
def factorial(a):
d = 1
for i in range(a):
a = (i + 1) * d
d = a
return d
a = random.randint(10, maxlength)
b = random.randint(0, 9)
solution = int(factorial(a) / (factorial(b) * factorial(a - b)))
problem = "Number of combinations from {} objects picked {} at a time ".format(a, b)
return problem, solution
def factorialFunc(maxInput=6):
a = random.randint(0, maxInput)
n = a
problem = str(a) + "! = "
b = 1
if a == 1:
solution = str(b)
return problem, solution
else:
while n > 0:
b *= n
n = n - 1
solution = str(b)
return problem, solution
def surfaceAreaCube(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
problem = f"Surface area of cube with side = {a}{unit} is"
ans = 6 * a * a
solution = f"{ans} {unit}^2"
return problem, solution
def volumeCube(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
problem = f"Volume of cube with side = {a}{unit} is"
ans = a * a * a
solution = f"{ans} {unit}^3"
return problem, solution
def surfaceAreaCuboid(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
b = random.randint(1, maxSide)
c = random.randint(1, maxSide)
problem = f"Surface area of cuboid with sides = {a}{unit}, {b}{unit}, {c}{unit} is"
ans = 2 * (a * b + b * c + c * a)
solution = f"{ans} {unit}^2"
return problem, solution
def volumeCuboid(maxSide=20, unit='m'):
a = random.randint(1, maxSide)
b = random.randint(1, maxSide)
c = random.randint(1, maxSide)
problem = f"Volume of cuboid with sides = {a}{unit}, {b}{unit}, {c}{unit} is"
ans = a * b * c
solution = f"{ans} {unit}^3"
return problem, solution
def surfaceAreaCylinder(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
problem = f"Surface area of cylinder with height = {a}{unit} and radius = {b}{unit} is"
ans = int(2 * math.pi * a * b + 2 * math.pi * b * b)
solution = f"{ans} {unit}^2"
return problem, solution
def volumeCylinder(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
problem = f"Volume of cylinder with height = {a}{unit} and radius = {b}{unit} is"
ans = int(math.pi * b * b * a)
solution = f"{ans} {unit}^3"
return problem, solution
def surfaceAreaCone(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
slopingHeight = math.sqrt(a**2 + b**2)
problem = f"Surface area of cone with height = {a}{unit} and radius = {b}{unit} is"
ans = int(math.pi * b * slopingHeight + math.pi * b * b)
solution = f"{ans} {unit}^2"
return problem, solution
def volumeCone(maxRadius=20, maxHeight=50, unit='m'):
a = random.randint(1, maxHeight)
b = random.randint(1, maxRadius)
problem = f"Volume of cone with height = {a}{unit} and radius = {b}{unit} is"
ans = int(math.pi * b * b * a * (1 / 3))
solution = f"{ans} {unit}^3"
return problem, solution
def commonFactorsFunc(maxVal=100):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
x, y = a, b
if (x < y):
min = x
else:
min = y
count = 0
arr = []
for i in range(1, min + 1):
if (x % i == 0):
if (y % i == 0):
count = count + 1
arr.append(i)
problem = f"Common Factors of {a} and {b} = "
solution = arr
return problem, solution
def intersectionOfTwoLinesFunc(
minM=-10, maxM=10, minB=-10, maxB=10, minDenominator=1, maxDenominator=6
):
def generateEquationString(m, b):
"""
Generates an equation given the slope and intercept.
It handles cases where m is fractional.
It also ensures that we don't have weird signs such as y = mx + -b.
"""
if m[1] == 1:
m = m[0]
else:
m = f"{m[0]}/{m[1]}"
base = f"y = {m}x"
if b > 0:
return f"{base} + {b}"
elif b < 0:
return f"{base} - {b * -1}"
else:
return base
def fractionToString(x):
"""
Converts the given fractions.Fraction into a string.
"""
if x.denominator == 1:
x = x.numerator
else:
x = f"{x.numerator}/{x.denominator}"
return x
m1 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator))
m2 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator))
b1 = random.randint(minB, maxB)
b2 = random.randint(minB, maxB)
equation1 = generateEquationString(m1, b1)
equation2 = generateEquationString(m2, b2)
problem = "Find the point of intersection of the two lines: "
problem += f"{equation1} and {equation2}"
m1 = fractions.Fraction(*m1)
m2 = fractions.Fraction(*m2)
# if m1 == m2 then the slopes are equal
# This can happen if both line are the same
# Or if they are parallel
# In either case there is no intersection
if m1 == m2:
solution = "No Solution"
else:
intersection_x = (b1 - b2) / (m2 - m1)
intersection_y = ((m2 * b1) - (m1 * b2)) / (m2 - m1)
solution = f"({fractionToString(intersection_x)}, {fractionToString(intersection_y)})"
return problem, solution
def permutationFunc(maxlength=20):
a = random.randint(10, maxlength)
b = random.randint(0, 9)
solution = int(math.factorial(a) / (math.factorial(a - b)))
problem = "Number of Permutations from {} objects picked {} at a time = ".format(a, b)
return problem, solution
def vectorCrossFunc(minVal=-20, maxVal=20):
a = [random.randint(minVal, maxVal) for i in range(3)]
b = [random.randint(minVal, maxVal) for i in range(3)]
c = [a[1] * b[2] - a[2] * b[1],
a[2] * b[0] - a[0] * b[2],
a[0] * b[1] - a[1] * b[0]]
return str(a) + " X " + str(b) + " = ", str(c)
def compareFractionsFunc(maxVal=10):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
c = random.randint(1, maxVal)
d = random.randint(1, maxVal)
while (a == b):
b = random.randint(1, maxVal)
while (c == d):
d = random.randint(1, maxVal)
first = a / b
second = c / d
if(first > second):
solution = ">"
elif(first < second):
solution = "<"
else:
solution = "="
problem = f"Which symbol represents the comparison between {a}/{b} and {c}/{d}?"
return problem, solution
def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
a = random.randint(1000, maxPrinciple)
b = random.randint(1, maxRate)
c = random.randint(1, maxTime)
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 = "
solution = round(d, 2)
return problem, solution
def matrixMultiplicationFunc(maxVal=100):
m = random.randint(2, 10)
n = random.randint(2, 10)
k = random.randint(2, 10)
# generate matrices a and b
a = []
for r in range(m):
a.append([])
for c in range(n):
a[r].append(random.randint(-maxVal, maxVal))
b = []
for r in range(n):
b.append([])
for c in range(k):
b[r].append(random.randint(-maxVal, maxVal))
res = []
a_string = matrixMultiplicationFuncHelper(a)
b_string = matrixMultiplicationFuncHelper(b)
for r in range(m):
res.append([])
for c in range(k):
temp = 0
for t in range(n):
temp += a[r][t] * b[t][c]
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
solution = matrixMultiplicationFuncHelper(res)
return problem, solution
def matrixMultiplicationFuncHelper(inp):
m = len(inp)
n = len(inp[0])
string = ""
for i in range(m):
for j in range(n):
string += f"{inp[i][j]: 6d}"
string += " "
string += "\n"
return string
def cubeRootFunc(minNo=1, maxNo=1000):
b = random.randint(minNo, maxNo)
a = b**(1 / 3)
problem = "cuberoot of " + str(b) + " upto 2 decimal places is:"
solution = str(round(a, 2))
return problem, solution
def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
numTerms = random.randint(1, maxTerms)
problem = ""
solution = ""
for i in range(numTerms):
if i > 0:
problem += " + "
solution += " + "
coefficient = random.randint(1, maxCoef)
exponent = random.randint(1, maxExp)
problem += str(coefficient) + "x^" + str(exponent)
solution += "(" + str(coefficient) + "/" + str(exponent) + ")x^" + str(exponent + 1)
solution = solution + " + c"
return problem, solution
def fourthAngleOfQuadriFunc(maxAngle=180):
angle1 = random.randint(1, maxAngle)
angle2 = random.randint(1, 240 - angle1)
angle3 = random.randint(1, 340 - (angle1 + angle2))
sum_ = angle1 + angle2 + angle3
angle4 = 360 - sum_
problem = f"Fourth angle of quadrilateral with angles {angle1} , {angle2}, {angle3} ="
solution = angle4
return problem, solution
def quadraticEquation(maxVal=100):
a = 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)))
problem = "Zeros of the Quadratic Equation {}x^2+{}x+{}=0".format(a, b, c)
D = math.sqrt(b * b - 4 * a * c)
solution = str([round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)])
return problem, solution
def hcfFunc(maxVal=20):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
x, y = a, b
while(y):
x, y = y, x % y
problem = f"HCF of {a} and {b} = "
solution = str(x)
return problem, solution
def DiceSumProbFunc(maxDice=3):
a = random.randint(1,maxDice)
b = random.randint(a,6*a)
count=0
for i in [1,2,3,4,5,6]:
if a==1:
if i==b:
count=count+1
elif a==2:
for j in [1,2,3,4,5,6]:
if i+j==b:
count=count+1
elif a==3:
for j in [1,2,3,4,5,6]:
for k in [1,2,3,4,5,6]:
if i+j+k==b:
count=count+1
problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(a,b)
solution="{}/{}".format(count, 6**a)
return problem, solution
def exponentiationFunc(maxBase = 20,maxExpo = 10):
base = random.randint(1, maxBase)
expo = random.randint(1, maxExpo)
problem = f"{base}^{expo} ="
solution = str(base ** expo)
return problem, solution
def confidenceIntervalFunc():
n=random.randint(20,40)
j=random.randint(0,3)
lst=random.sample(range(200,300),n)
lst_per=[80 ,90, 95, 99]
lst_t = [1.282, 1.645, 1.960, 2.576]
mean=0
sd=0
for i in lst:
count= i + mean
mean=count
mean = mean/n
for i in lst:
x=(i-mean)**2+sd
sd=x
sd=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])
solution= '({}, {})'.format(mean+standard_error, mean-standard_error)
return problem, solution
def surdsComparisonFunc(maxValue = 100, maxRoot = 10):
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})"
first = math.pow(radicand1, 1/degree1)
second = math.pow(radicand2, 1/degree2)
solution = "="
if first > second:
solution = ">"
elif first < second:
solution = "<"
return problem, solution
def fibonacciSeriesFunc(minNo=1):
n = random.randint(minNo,20)
def createFibList(n):
l=[]
for i in range(n):
if i<2:
l.append(i)
else:
val = l[i-1]+l[i-2]
l.append(val)
return l
fibList=createFibList(n)
problem = "The Fibonacci Series of the first "+str(n)+" numbers is ?"
solution = fibList
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})?"
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"}
solution=result_fraction_map[round(eval(expression),2)] if round(eval(expression),2)<=99999 else "" #for handling the ∞ condition
return problem,solution
def sumOfAnglesOfPolygonFunc(maxSides = 12):
side = random.randint(3, maxSides)
sum = (side - 2) * 180
problem = f"Sum of angles of polygon with {side} sides = "
solution = sum
return problem, solution
def dataSummaryFunc(number_values=15,minval=5,maxval=50):
random_list=[]
for i in range(number_values):
n=random.randint(minval,maxval)
random_list.append(n)
a=sum(random_list)
mean=a/number_values
var=0
for i in range(number_values):
var+=(random_list[i]-mean)**2
print(random_list)
print(mean)
print(var/number_values)
print((var/number_values)**0.5)
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)
return problem,solution
def surfaceAreaSphere(maxSide = 20, unit = 'm'):
r = random.randint(1, maxSide)
problem = f"Surface area of Sphere with radius = {r}{unit} is"
ans = 4 * math.pi * r * r
solution = f"{ans} {unit}^2"
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
# || Class Instances
# Format is:
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
@@ -975,14 +88,13 @@ CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is",
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)
diceSumProbability=Generator("Probability of a certain sum appearing on faces of dice", 51,"If n dices are rolled then probabilty of getting sum of x is =","z", DiceSumProbFunc)
exponentiation = Generator("Exponentiation", 52,"a^b = ","c",exponentiationFunc)
confidenceInterval = Generator("Confidence interval For sample S", 53, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
surdsComparison = Generator("Comparing surds", 54, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc)
fibonacciSeries = Generator("Fibonacci Series",55,"fibonacci series of first a numbers","prints the fibonacci series starting from 0 to a",fibonacciSeriesFunc)
basicTrigonometry=Generator("Trigonometric Values",56,"What is sin(X)?","ans",basicTrigonometryFunc)
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 57, "Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc)
dataSummary = Generator("Mean,Standard Deviation,Variance", 58, "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)

View File

@@ -0,0 +1,25 @@
import os
file = ""
with open("mathgen.py", 'r') as f:
file = f.read()
file = file.split("\n\n")[8:]
i=0
imports_string = ""
for listing in file:
listing = listing[1:]
if listing[:3] == "def":
name = listing[4:listing.find("(")]
imports_string+="import funcs."+name+"\n"
with open("funcs/"+name+".py", 'w') as f:
f.write("from funcs.imports import *\n\n\n"+listing+"\n")
print("Saved!", i, "-", name)
i+=1
with open("funcs/imports.py", 'w') as imports_file:
imports_file.write(imports_string+"\n")
# print(file)