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Merge branch 'master' into master

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This commit is contained in:
Luke Weiler
2020-10-18 22:46:41 -04:00
committed by GitHub
parent 5d787161f1 fa4d9665c5
commit 4654ea3e6b
5 changed files with 261 additions and 178 deletions
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mathgenerator/mathgen.py
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@@ -4,7 +4,6 @@ import fractions
genList = []
# || Generator class
class Generator:
def __init__(self, title, id, generalProb, generalSol, func):
@@ -36,7 +35,8 @@ def getGenList():
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
# 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
problem = str(a) + "+" + str(b) + "="
solution = str(c)
@@ -78,7 +78,7 @@ def binaryComplement1sFunc(maxDigits=10):
question += temp
answer += "0" if temp == "1" else "1"
problem = question+"="
problem = question + "="
solution = answer
return problem, solution
@@ -248,7 +248,8 @@ def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
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) + " = "
problem = "Area of triangle with side lengths: " + \
str(a) + " " + str(b) + " " + str(c) + " = "
solution = area
return problem, solution
@@ -259,7 +260,8 @@ def isTriangleValidFunc(maxSideLength=50):
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])
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"
@@ -352,7 +354,8 @@ def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
# 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')
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)}"
@@ -391,7 +394,8 @@ def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
soln = [random.randint(-varRange, varRange) for i in range(n)]
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):
coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)]
res = sum([coeff[i] * soln[i] for i in range(n)])
@@ -469,7 +473,8 @@ def combinationsFunc(maxlength=20):
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)
problem = "Number of combinations from {} objects picked {} at a time ".format(
a, b)
return problem, solution
@@ -615,8 +620,10 @@ def intersectionOfTwoLinesFunc(
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))
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)
@@ -642,7 +649,8 @@ 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)
problem = "Number of Permutations from {} objects picked {} at a time = ".format(
a, b)
return problem, solution
@@ -685,7 +693,8 @@ def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
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 = "
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
@@ -718,7 +727,8 @@ def matrixMultiplicationFunc(maxVal=100):
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
# 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)
return problem, solution
@@ -754,7 +764,8 @@ def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
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 += "(" + str(coefficient) + "/" + \
str(exponent) + ")x^" + str(exponent + 1)
solution = solution + " + c"
return problem, solution
@@ -773,15 +784,18 @@ def fourthAngleOfQuadriFunc(maxAngle=180):
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)))
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)])
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)
@@ -792,61 +806,67 @@ def hcfFunc(maxVal=20):
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)
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):
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]
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
mean = 0
sd = 0
for i in lst:
count= i + mean
mean=count
mean = mean/n
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)
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))
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)
first = math.pow(radicand1, 1 / degree1)
second = math.pow(radicand2, 1 / degree2)
solution = "="
if first > second:
solution = ">"
@@ -854,60 +874,71 @@ def surdsComparisonFunc(maxValue = 100, maxRoot = 10):
solution = "<"
return problem, solution
def fibonacciSeriesFunc(minNo=1):
n = random.randint(minNo,20)
n = random.randint(minNo, 20)
def createFibList(n):
l=[]
fibList = []
for i in range(n):
if i<2:
l.append(i)
if i < 2:
fibList.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 ?"
val = fibList[i - 1] + fibList[i - 2]
fibList.append(val)
return fibList
fibList = createFibList(n)
problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?"
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})?"
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"}
# Handles degrees in quadrant one
def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90], functions=["sin", "cos", "tan"]):
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)
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=[]
def dataSummaryFunc(number_values=15, minval=5, maxval=50):
random_list = []
for i in range(number_values):
n=random.randint(minval,maxval)
n = random.randint(minval, maxval)
random_list.append(n)
a=sum(random_list)
mean=a/number_values
var=0
a = sum(random_list)
mean = a / number_values
var = 0
for i in range(number_values):
var+=(random_list[i]-mean)**2
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
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'):
def surfaceAreaSphere(maxSide=20, unit='m'):
r = random.randint(1, maxSide)
problem = f"Surface area of Sphere with radius = {r}{unit} is"
@@ -921,6 +952,21 @@ def volumeSphereFunc(maxRadius = 100):
ans=(4*math.pi/3)*r*r*r
solution = f"{ans} m^3"
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)
@@ -933,72 +979,128 @@ def profitLossPercentFunc(maxCP = 1000, maxSP = 1000):
percent = diff/cP * 100
problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: "
solution = percent
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)
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)
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)
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)
lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c", lcmFunc)
gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ", "c", gcdFunc)
basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc)
lcm = Generator("LCM (Least Common Multiple)", 9,
"LCM of a and b = ", "c", lcmFunc)
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)
intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)
decimalToBinary = Generator("Decimal to Binary", 14, "Binary of a=", "b", DecimalToBinaryFunc)
binaryToDecimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b", BinaryToDecimalFunc)
fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc)
midPointOfTwoPoint = Generator("Midpoint of the two point", 20, "((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc)
factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
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)
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
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)
decimalToBinary = Generator("Decimal to Binary", 14,
"Binary of a=", "b", DecimalToBinaryFunc)
binaryToDecimal = Generator("Binary to Decimal", 15,
"Decimal of a=", "b", BinaryToDecimalFunc)
fractionDivision = Generator(
"Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",
17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
areaOfTriangle = Generator(
"Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
doesTriangleExist = Generator("Triangle exists check", 19,
"Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc)
midPointOfTwoPoint = Generator("Midpoint of the two point", 20,
"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc)
factoring = Generator("Factoring Quadratic", 21,
"x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
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)
surfaceAreaCubeGen = Generator("Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube)
surfaceAreaCuboidGen = Generator("Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid)
surfaceAreaCylinderGen = Generator("Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder)
volumeCubeGen = Generator("Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube)
volumeCuboidGen = Generator("Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid)
volumeCylinderGen = Generator("Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder)
surfaceAreaConeGen = Generator("Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone)
volumeConeGen = Generator("Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone)
commonFactors = Generator("Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc)
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)
permutations = Generator("Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc)
vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c", vectorCrossFunc)
compareFractions = Generator("Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc)
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)
matrixMultiplication = Generator("Multiplication of two matrices", 46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc)
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)
profitLossPercent = Generator("Profit or Loss Percent", 61, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)
surfaceAreaCubeGen = Generator(
"Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube)
surfaceAreaCuboidGen = Generator(
"Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid)
surfaceAreaCylinderGen = Generator(
"Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder)
volumeCubeGen = Generator(
"Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube)
volumeCuboidGen = Generator(
"Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid)
volumeCylinderGen = Generator(
"Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder)
surfaceAreaConeGen = Generator(
"Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone)
volumeConeGen = Generator(
"Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone)
commonFactors = Generator(
"Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc)
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)
permutations = Generator(
"Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc)
vectorCross = Generator("Cross Product of 2 Vectors",
43, "a X b = ", "c", vectorCrossFunc)
compareFractions = Generator(
"Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc)
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)
matrixMultiplication = Generator("Multiplication of two matrices",
46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc)
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", 61, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)