pep8 fixes

This commit is contained in:
lukew3
2020-10-19 13:54:31 -04:00
parent 5aaf1765fa
commit 91358f5b1b
82 changed files with 450 additions and 326 deletions

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@@ -8,7 +8,8 @@ with open('mathgenerator/mathgen.py', 'r') as f:
lines = f.readlines() lines = f.readlines()
allRows = [] allRows = []
line = lines.index('# Funcs_start - DO NOT REMOVE!\n')+1 # get the first line of the functions in mathgen.py # get the first line of the functions in mathgen.py
line = lines.index('# Funcs_start - DO NOT REMOVE!\n')+1
for item in wList: for item in wList:
myGen = item[2] myGen = item[2]
# NOTE: renamed 'sol' to 'solu' to make it look nicer # NOTE: renamed 'sol' to 'solu' to make it look nicer
@@ -27,7 +28,8 @@ for item in wList:
print(prob) print(prob)
instName = lines[line] instName = lines[line]
func_name = instName[:instName.find('=')].strip() # NOTE: renamed 'def_name' to 'func_name' because it suits it more # NOTE: renamed 'def_name' to 'func_name' because it suits it more
func_name = instName[:instName.find('=')].strip()
row = [myGen.id, myGen.title, prob, solu, func_name] row = [myGen.id, myGen.title, prob, solu, func_name]
# print(item[1], func_name) # print(item[1], func_name)
line += 1 line += 1
@@ -42,7 +44,8 @@ with open('README.md', "r") as g:
lines = lines[:line+1] lines = lines[:line+1]
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"
lines.append(tableLine) lines.append(tableLine)
with open('README.md', "w") as g: with open('README.md', "w") as g:

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@@ -1,6 +1,7 @@
genList = [] genList = []
class Generator: class Generator:
def __init__(self, title, id, generalProb, generalSol, func): def __init__(self, title, id, generalProb, generalSol, func):
self.title = title self.title = title
@@ -16,5 +17,6 @@ class Generator:
def __call__(self, **kwargs): def __call__(self, **kwargs):
return self.func(**kwargs) return self.func(**kwargs)
def getGenList(): def getGenList():
return genList return genList

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@@ -20,6 +20,7 @@ def DiceSumProbFunc(maxDice=3):
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(
a, b)
solution = "{}/{}".format(count, 6**a) solution = "{}/{}".format(count, 6**a)
return problem, solution return problem, solution

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@@ -1,10 +1,12 @@
from .__init__ import * from .__init__ import *
def absoluteDifferenceFunc(maxA=100, maxB=100): def absoluteDifferenceFunc(maxA=100, maxB=100):
a = random.randint(-1*maxA, maxA) a = random.randint(-1*maxA, maxA)
b = random.randint(-1*maxB, maxB) b = random.randint(-1*maxB, maxB)
absDiff = abs(a-b) absDiff = abs(a-b)
problem = "Absolute difference between numbers " + str(a) + " and " + str(b) + " = " problem = "Absolute difference between numbers " + \
str(a) + " and " + str(b) + " = "
solution = absDiff solution = absDiff
return problem, solution return problem, solution

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@@ -1,12 +1,15 @@
from .__init__ import * from .__init__ import *
from ..__init__ import Generator from ..__init__ import Generator
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)
return problem, solution return problem, solution
addition = Generator("Addition", 0, "a+b=", "c", additionFunc) addition = Generator("Addition", 0, "a+b=", "c", additionFunc)

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@@ -9,6 +9,7 @@ def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
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

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@@ -1,14 +1,17 @@
from .__init__ import * from .__init__ import *
def basicTrigonometryFunc(angles=[0,30,45,60,90],functions=["sin","cos","tan"]): #Handles degrees in quadrant one # Handles degrees in quadrant one
def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90], functions=["sin", "cos", "tan"]):
angle = random.choice(angles) angle = random.choice(angles)
function = random.choice(functions) function = random.choice(functions)
problem = f"What is {function}({angle})?" problem = f"What is {function}({angle})?"
expression = 'math.'+function+'(math.radians(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"} 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 solution = result_fraction_map[round(eval(expression), 2)] if round(
eval(expression), 2) <= 99999 else "" # for handling the ∞ condition
return problem, solution return problem, solution

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@@ -1,8 +1,10 @@
from .__init__ import * from .__init__ import *
def binary2sComplementFunc(maxDigits=10): def binary2sComplementFunc(maxDigits=10):
digits = random.randint(1, maxDigits) digits = random.randint(1, maxDigits)
question = ''.join([str(random.randint(0, 1)) for i in range(digits)]).lstrip('0') question = ''.join([str(random.randint(0, 1))
for i in range(digits)]).lstrip('0')
answer = [] answer = []
for i in question: for i in question:

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@@ -14,6 +14,7 @@ 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

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@@ -1,11 +1,13 @@
from .__init__ import * from .__init__ import *
def compoundInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10, maxPeriod=10): def compoundInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10, maxPeriod=10):
p = random.randint(100, maxPrinciple) p = random.randint(100, maxPrinciple)
r = random.randint(1, maxRate) r = random.randint(1, maxRate)
t = random.randint(1, maxTime) t = random.randint(1, maxTime)
n = random.randint(1, maxPeriod) n = random.randint(1, maxPeriod)
A = p * ((1 + (r/(100*n))**(n*t))) A = p * ((1 + (r/(100*n))**(n*t)))
problem = "Compound Interest for a principle amount of " + str(p) + " dollars, " + str(r) + "% rate of interest and for a time period of " + str(t) + " compounded monthly is = " problem = "Compound Interest for a principle amount of " + str(p) + " dollars, " + str(
r) + "% rate of interest and for a time period of " + str(t) + " compounded monthly is = "
solution = round(A, 2) solution = round(A, 2)
return problem, solution return problem, solution

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@@ -25,6 +25,7 @@ def confidenceIntervalFunc():
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(
[x for x in lst], lst_per[j])
solution = '({}, {})'.format(mean+standard_error, mean-standard_error) solution = '({}, {})'.format(mean+standard_error, mean-standard_error)
return problem, solution return problem, solution

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@@ -21,6 +21,8 @@ def dataSummaryFunc(number_values=15,minval=5,maxval=50):
print(var/number_values) print(var/number_values)
print((var/number_values)**0.5) print((var/number_values)**0.5)
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" + \
solution="The Mean is {} , Standard Deviation is {}, Variance is {}".format(mean,var/number_values,(var/number_values)**0.5) 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 return problem, solution

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@@ -1,5 +1,6 @@
from .__init__ import * from .__init__ import *
def determinantToMatrix22(maxMatrixVal=100): def determinantToMatrix22(maxMatrixVal=100):
a = random.randint(0, maxMatrixVal) a = random.randint(0, maxMatrixVal)
b = random.randint(0, maxMatrixVal) b = random.randint(0, maxMatrixVal)

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@@ -1,5 +1,6 @@
from .__init__ import * from .__init__ import *
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)
@@ -8,8 +9,10 @@ def geomProgrFunc(number_values=6, min_value=2, max_value=12, n_term=7, sum_term
GP = [] GP = []
for i in range(number_values): for i in range(number_values):
GP.append(a*(r**i)) GP.append(a*(r**i))
problem="For the given GP "+str(GP)+" ,Find the value of a,common ratio,"+str(n_term)+"th term value, sum upto "+str(sum_term)+"th term" problem = "For the given GP "+str(GP)+" ,Find the value of a,common ratio,"+str(
n_term)+"th term value, sum upto "+str(sum_term)+"th term"
value_nth_term = a*(r**(n_term-1)) value_nth_term = a*(r**(n_term-1))
sum_till_nth_term = a*((r**sum_term-1)/(r-1)) sum_till_nth_term = a*((r**sum_term-1)/(r-1))
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

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@@ -1,5 +1,6 @@
from .__init__ import * from .__init__ import *
def hcfFunc(maxVal=20): def hcfFunc(maxVal=20):
a = random.randint(1, maxVal) a = random.randint(1, maxVal)
b = random.randint(1, maxVal) b = random.randint(1, maxVal)

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@@ -33,8 +33,10 @@ 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)

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@@ -9,7 +9,8 @@ def isTriangleValidFunc(maxSideLength=50):
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:

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@@ -9,12 +9,14 @@ def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
vars = ['x', 'y', 'z', 'a', 'b', 'c', 'd', 'e', 'f', 'g'][:n] vars = ['x', 'y', 'z', 'a', 'b', 'c', 'd', 'e', 'f', 'g'][:n]
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)])
prob = ["{}{}".format(coeff[i], vars[i]) if coeff[i] != 0 else "" for i in range(n)] prob = ["{}{}".format(coeff[i], vars[i]) if coeff[i]
!= 0 else "" for i in range(n)]
while "" in prob: while "" in prob:
prob.remove("") prob.remove("")

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@@ -1,6 +1,7 @@
from .__init__ import * from .__init__ import *
import sympy import sympy
def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerElementsInInvertedMatrix=False): def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerElementsInInvertedMatrix=False):
if OnlyIntegerElementsInInvertedMatrix is True: if OnlyIntegerElementsInInvertedMatrix is True:
isItOk = False isItOk = False

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@@ -32,10 +32,12 @@ def matrixMultiplicationFunc(maxVal=100):
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
def matrixMultiplicationFuncHelper(inp): def matrixMultiplicationFuncHelper(inp):
m = len(inp) m = len(inp)
n = len(inp[0]) n = len(inp[0])

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@@ -1,5 +1,6 @@
from .__init__ import * from .__init__ import *
def meanMedianFunc(maxlen=10): def meanMedianFunc(maxlen=10):
randomlist = random.sample(range(1, 99), maxlen) randomlist = random.sample(range(1, 99), maxlen)
total = 0 total = 0

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@@ -2,8 +2,10 @@ from .__init__ import *
def multiplyComplexNumbersFunc(minRealImaginaryNum=-20, maxRealImaginaryNum=20): def multiplyComplexNumbersFunc(minRealImaginaryNum=-20, maxRealImaginaryNum=20):
num1 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum)) num1 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum),
num2 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum)) random.randint(minRealImaginaryNum, maxRealImaginaryNum))
num2 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum),
random.randint(minRealImaginaryNum, maxRealImaginaryNum))
problem = f"{num1} * {num2} = " problem = f"{num1} * {num2} = "
solution = num1 * num2 solution = num1 * num2
return problem, solution return problem, solution

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@@ -5,6 +5,7 @@ def nthFibonacciNumberFunc(maxN = 100):
golden_ratio = (1 + math.sqrt(5))/2 golden_ratio = (1 + math.sqrt(5))/2
n = random.randint(1, maxN) n = random.randint(1, maxN)
problem = f"What is the {n}th Fibonacci number?" problem = f"What is the {n}th Fibonacci number?"
ans = round((math.pow(golden_ratio,n) - math.pow(-golden_ratio,-n))/(math.sqrt(5))) ans = round((math.pow(golden_ratio, n) -
math.pow(-golden_ratio, -n))/(math.sqrt(5)))
solution = f"{ans}" solution = f"{ans}"
return problem, solution return problem, solution

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@@ -1,5 +1,6 @@
from .__init__ import * from .__init__ import *
def percentageFunc(maxValue=99, maxpercentage=99): def percentageFunc(maxValue=99, maxpercentage=99):
a = random.randint(1, maxpercentage) a = random.randint(1, maxpercentage)
b = random.randint(1, maxValue) b = random.randint(1, maxValue)

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@@ -6,5 +6,6 @@ def permutationFunc(maxlength=20):
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

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@@ -14,7 +14,8 @@ def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
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 += " + c" solution += " + c"
return problem, solution return problem, solution

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@@ -4,9 +4,11 @@ from .__init__ import *
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

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@@ -1,5 +1,6 @@
from .__init__ import * from .__init__ import *
def sectorAreaFunc(maxRadius=49, maxAngle=359): def sectorAreaFunc(maxRadius=49, maxAngle=359):
Radius = random.randint(1, maxRadius) Radius = random.randint(1, maxRadius)
Angle = random.randint(1, maxAngle) Angle = random.randint(1, maxAngle)

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@@ -7,6 +7,7 @@ def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
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

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@@ -36,7 +36,8 @@ 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)}"

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@@ -7,6 +7,8 @@ from .__init__ import getGenList
genList = getGenList() genList = getGenList()
# || Generator class # || Generator class
class Generator: class Generator:
def __init__(self, title, id, generalProb, generalSol, func): def __init__(self, title, id, generalProb, generalSol, func):
self.title = title self.title = title
@@ -32,87 +34,161 @@ def genById(id):
# def getGenList(): # def getGenList():
# return(genList) # return(genList)
# Format is: # Format is:
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>) # <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
# Funcs_start - DO NOT REMOVE! # Funcs_start - DO NOT REMOVE!
#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", 60, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere) matrixMultiplication = Generator("Multiplication of two matrices",
volumeSphere = Generator("Volume of Sphere", 61, "Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc) 46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc)
nthFibonacciNumberGen = Generator("nth Fibonacci number", 62, "What is the nth Fibonacci number", "Fn", nthFibonacciNumberFunc) CubeRoot = Generator(
profitLossPercent = Generator("Profit or Loss Percent", 63, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc) "Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc)
binaryToHex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b", binaryToHexFunc) powerRuleIntegration = Generator(
complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc) "Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc)
geometricprogression=Generator("Geometric Progression", 66, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", geomProgrFunc) fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49,
geometricMean=Generator("Geometric Mean of N Numbers",67,"Geometric mean of n numbers A1 , A2 , ... , An = ","(A1*A2*...An)^(1/n) = ans",geometricMeanFunc) "Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc)
harmonicMean=Generator("Harmonic Mean of N Numbers",68,"Harmonic mean of n numbers A1 , A2 , ... , An = "," n/((1/A1) + (1/A2) + ... + (1/An)) = ans",harmonicMeanFunc) quadraticEquationSolve = Generator(
eucldianNorm=Generator("Euclidian norm or L2 norm of a vector", 69, "Euclidian Norm of a vector V:[v1, v2, ......., vn]", "sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc) "Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation)
angleBtwVectors=Generator("Angle between 2 vectors", 70, "Angle Between 2 vectors V1=[v11, v12, ..., v1n] and V2=[v21, v22, ....., v2n]", "V1.V2 / (euclidNorm(V1)*euclidNorm(V2))", angleBtwVectorsFunc) hcf = Generator("HCF (Highest Common Factor)", 51,
absoluteDifference=Generator("Absolute difference between two numbers", 71, "Absolute difference betweeen two numbers a and b =", "|a-b|", absoluteDifferenceFunc) "HCF of a and b = ", "c", hcfFunc)
vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c", vectorDotFunc) diceSumProbability = Generator("Probability of a certain sum appearing on faces of dice",
binary2sComplement = Generator("Binary 2's Complement", 73, "2's complement of 11010110 =", "101010", binary2sComplementFunc) 52, "If n dices are rolled then probabilty of getting sum of x is =", "z", DiceSumProbFunc)
invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is", "A^(-1)", matrixInversion) exponentiation = Generator(
sectorArea=Generator("Area of a Sector", 75,"Area of a sector with radius, r and angle, a ","Area",sectorAreaFunc) "Exponentiation", 53, "a^b = ", "c", exponentiationFunc)
meanMedian=Generator("Mean and Median", 76,"Mean and median of given set of numbers","Mean, Median",meanMedianFunc) confidenceInterval = Generator("Confidence interval For sample S",
intMatrix22determinant = Generator("Determinant to 2x2 Matrix", 77, "Det([[a,b],[c,d]]) =", " a * d - b * c", determinantToMatrix22) 54, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
compoundInterest = Generator("Compound Interest", 78, "Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ", "A dollars", compoundInterestFunc) surdsComparison = Generator(
decimalToHexadeci = Generator("Decimal to Hexadecimal", 79,"Binary of a=", "b", deciToHexaFunc) "Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc)
percentage = Generator("Percentage of a number",80,"What is a% of b?","percentage",percentageFunc) 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", 60, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere)
volumeSphere = Generator("Volume of Sphere", 61,
"Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc)
nthFibonacciNumberGen = Generator(
"nth Fibonacci number", 62, "What is the nth Fibonacci number", "Fn", nthFibonacciNumberFunc)
profitLossPercent = Generator("Profit or Loss Percent", 63,
"Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)
binaryToHex = Generator("Binary to Hexidecimal", 64,
"Hexidecimal of a=", "b", binaryToHexFunc)
complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65,
"(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc)
geometricprogression = Generator(
"Geometric Progression", 66, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", geomProgrFunc)
geometricMean = Generator("Geometric Mean of N Numbers", 67,
"Geometric mean of n numbers A1 , A2 , ... , An = ", "(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)
harmonicMean = Generator("Harmonic Mean of N Numbers", 68, "Harmonic mean of n numbers A1 , A2 , ... , An = ",
" n/((1/A1) + (1/A2) + ... + (1/An)) = ans", harmonicMeanFunc)
eucldianNorm = Generator("Euclidian norm or L2 norm of a vector", 69,
"Euclidian Norm of a vector V:[v1, v2, ......., vn]", "sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc)
angleBtwVectors = Generator("Angle between 2 vectors", 70,
"Angle Between 2 vectors V1=[v11, v12, ..., v1n] and V2=[v21, v22, ....., v2n]", "V1.V2 / (euclidNorm(V1)*euclidNorm(V2))", angleBtwVectorsFunc)
absoluteDifference = Generator("Absolute difference between two numbers", 71,
"Absolute difference betweeen two numbers a and b =", "|a-b|", absoluteDifferenceFunc)
vectorDot = Generator("Dot Product of 2 Vectors", 72,
"a . b = ", "c", vectorDotFunc)
binary2sComplement = Generator("Binary 2's Complement", 73,
"2's complement of 11010110 =", "101010", binary2sComplementFunc)
invertmatrix = Generator("Inverse of a Matrix", 74,
"Inverse of a matrix A is", "A^(-1)", matrixInversion)
sectorArea = Generator("Area of a Sector", 75,
"Area of a sector with radius, r and angle, a ", "Area", sectorAreaFunc)
meanMedian = Generator("Mean and Median", 76,
"Mean and median of given set of numbers", "Mean, Median", meanMedianFunc)
intMatrix22determinant = Generator(
"Determinant to 2x2 Matrix", 77, "Det([[a,b],[c,d]]) =", " a * d - b * c", determinantToMatrix22)
compoundInterest = Generator(
"Compound Interest", 78, "Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ", "A dollars", compoundInterestFunc)
decimalToHexadeci = Generator(
"Decimal to Hexadecimal", 79, "Binary of a=", "b", deciToHexaFunc)
percentage = Generator("Percentage of a number", 80,
"What is a% of b?", "percentage", percentageFunc)