mirror of
https://github.com/DeaDvey/mathgenerator.git
synced 2025-11-28 14:35:23 +01:00
complete restructure of the project. minor tweaks
This commit is contained in:
4
Makefile
4
Makefile
@@ -1,7 +1,7 @@
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FLAKE_FLAGS = --ignore=E501,F401,F403,F405
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FLAKE_FLAGS = --ignore=E501,F401,F403,F405
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lint:
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lint:
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python -m flake8 $(FLAKE_FLAGS)
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python3 -m flake8 $(FLAKE_FLAGS)
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test:
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test:
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python -m pytest --verbose -s tests
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python3 -m pytest --verbose -s tests
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12
mathgenerator/funcs/BinaryToDecimalFunc.py
Normal file
12
mathgenerator/funcs/BinaryToDecimalFunc.py
Normal file
@@ -0,0 +1,12 @@
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from .__init__ import *
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def BinaryToDecimalFunc(max_dig=10):
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problem = ''
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for i in range(random.randint(1, max_dig)):
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temp = str(random.randint(0, 1))
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problem += temp
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solution = int(problem, 2)
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return problem, solution
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11
mathgenerator/funcs/DecimalToBinaryFunc.py
Normal file
11
mathgenerator/funcs/DecimalToBinaryFunc.py
Normal file
@@ -0,0 +1,11 @@
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from .__init__ import *
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def DecimalToBinaryFunc(max_dec=99):
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a = random.randint(1, max_dec)
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b = bin(a).replace("0b", "")
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problem = "Binary of " + str(a) + "="
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solution = str(b)
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return problem, solution
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25
mathgenerator/funcs/DiceSumProbFunc.py
Normal file
25
mathgenerator/funcs/DiceSumProbFunc.py
Normal file
@@ -0,0 +1,25 @@
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from .__init__ import *
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def DiceSumProbFunc(maxDice=3):
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a = random.randint(1,maxDice)
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b = random.randint(a,6*a)
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count=0
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for i in [1,2,3,4,5,6]:
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if a==1:
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if i==b:
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count=count+1
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elif a==2:
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for j in [1,2,3,4,5,6]:
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if i+j==b:
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count=count+1
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elif a==3:
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for j in [1,2,3,4,5,6]:
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for k in [1,2,3,4,5,6]:
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if i+j+k==b:
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count=count+1
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problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(a,b)
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solution="{}/{}".format(count, 6**a)
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return problem, solution
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12
mathgenerator/funcs/MidPointOfTwoPointFunc.py
Normal file
12
mathgenerator/funcs/MidPointOfTwoPointFunc.py
Normal file
@@ -0,0 +1,12 @@
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from .__init__ import *
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def MidPointOfTwoPointFunc(maxValue=20):
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x1 = random.randint(-20, maxValue)
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y1 = random.randint(-20, maxValue)
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x2 = random.randint(-20, maxValue)
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y2 = random.randint(-20, maxValue)
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problem = f"({x1},{y1}),({x2},{y2})="
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solution = f"({(x1+x2)/2},{(y1+y2)/2})"
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return problem, solution
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61
mathgenerator/funcs/__init__.py
Normal file
61
mathgenerator/funcs/__init__.py
Normal file
@@ -0,0 +1,61 @@
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from .additionFunc import *
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from .subtractionFunc import *
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from .multiplicationFunc import *
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from .divisionFunc import *
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from .binaryComplement1sFunc import *
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from .moduloFunc import *
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from .squareRootFunc import *
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from .powerRuleDifferentiationFunc import *
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from .squareFunc import *
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from .gcdFunc import *
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from .lcmFunc import *
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from .basicAlgebraFunc import *
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from .logFunc import *
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from .divisionToIntFunc import *
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from .DecimalToBinaryFunc import *
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from .BinaryToDecimalFunc import *
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from .divideFractionsFunc import *
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from .multiplyIntToMatrix22 import *
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from .areaOfTriangleFunc import *
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from .isTriangleValidFunc import *
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from .MidPointOfTwoPointFunc import *
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from .factoringFunc import *
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from .thirdAngleOfTriangleFunc import *
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from .systemOfEquationsFunc import *
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from .distanceTwoPointsFunc import *
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from .pythagoreanTheoremFunc import *
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from .linearEquationsFunc import *
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from .primeFactorsFunc import *
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from .multiplyFractionsFunc import *
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from .regularPolygonAngleFunc import *
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from .combinationsFunc import *
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from .factorialFunc import *
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from .surfaceAreaCube import *
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from .volumeCube import *
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from .surfaceAreaCuboid import *
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from .volumeCuboid import *
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from .surfaceAreaCylinder import *
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from .volumeCylinder import *
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from .surfaceAreaCone import *
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from .volumeCone import *
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from .commonFactorsFunc import *
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from .intersectionOfTwoLinesFunc import *
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from .permutationFunc import *
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from .vectorCrossFunc import *
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from .compareFractionsFunc import *
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from .simpleInterestFunc import *
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from .matrixMultiplicationFunc import *
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from .cubeRootFunc import *
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from .powerRuleIntegrationFunc import *
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from .fourthAngleOfQuadriFunc import *
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from .quadraticEquation import *
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from .DiceSumProbFunc import *
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from .exponentiationFunc import *
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from .confidenceIntervalFunc import *
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from .surdsComparisonFunc import *
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from .fibonacciSeriesFunc import *
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from .basicTrigonometryFunc import *
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from .sumOfAnglesOfPolygonFunc import *
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from .dataSummaryFunc import *
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from .surfaceAreaSphere import *
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from .volumeSphereFunc import *
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10
mathgenerator/funcs/additionFunc.py
Normal file
10
mathgenerator/funcs/additionFunc.py
Normal file
@@ -0,0 +1,10 @@
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from .__init__ import *
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def additionFunc(maxSum=99, maxAddend=50):
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a = random.randint(0, maxAddend)
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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
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c = a + b
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problem = str(a) + "+" + str(b) + "="
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solution = str(c)
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return problem, solution
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14
mathgenerator/funcs/areaOfTriangleFunc.py
Normal file
14
mathgenerator/funcs/areaOfTriangleFunc.py
Normal file
@@ -0,0 +1,14 @@
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from .__init__ import *
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def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
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a = random.randint(1, maxA)
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b = random.randint(1, maxB)
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c = random.randint(1, maxC)
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s = (a + b + c) / 2
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area = (s * (s - a) * (s - b) * (s - c)) ** 0.5
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problem = "Area of triangle with side lengths: " + str(a) + " " + str(b) + " " + str(c) + " = "
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solution = area
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return problem, solution
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25
mathgenerator/funcs/basicAlgebraFunc.py
Normal file
25
mathgenerator/funcs/basicAlgebraFunc.py
Normal file
@@ -0,0 +1,25 @@
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from .__init__ import *
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def basicAlgebraFunc(maxVariable=10):
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a = random.randint(1, maxVariable)
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b = random.randint(1, maxVariable)
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c = random.randint(b, maxVariable)
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# calculate gcd
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def calculate_gcd(x, y):
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while(y):
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x, y = y, x % y
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return x
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i = calculate_gcd((c - b), a)
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x = f"{(c - b)//i}/{a//i}"
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if (c - b == 0):
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x = "0"
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elif a == 1 or a == i:
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x = f"{c - b}"
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problem = f"{a}x + {b} = {c}"
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solution = x
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return problem, solution
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14
mathgenerator/funcs/basicTrigonometryFunc.py
Normal file
14
mathgenerator/funcs/basicTrigonometryFunc.py
Normal file
@@ -0,0 +1,14 @@
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from .__init__ import *
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def basicTrigonometryFunc(angles=[0,30,45,60,90],functions=["sin","cos","tan"]): #Handles degrees in quadrant one
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angle=random.choice(angles)
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function=random.choice(functions)
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problem=f"What is {function}({angle})?"
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expression='math.'+function+'(math.radians(angle))'
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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"}
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solution=result_fraction_map[round(eval(expression),2)] if round(eval(expression),2)<=99999 else "∞" #for handling the ∞ condition
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return problem,solution
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15
mathgenerator/funcs/binaryComplement1sFunc.py
Normal file
15
mathgenerator/funcs/binaryComplement1sFunc.py
Normal file
@@ -0,0 +1,15 @@
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from .__init__ import *
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def binaryComplement1sFunc(maxDigits=10):
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question = ''
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answer = ''
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for i in range(random.randint(1, maxDigits)):
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|
temp = str(random.randint(0, 1))
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question += temp
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answer += "0" if temp == "1" else "1"
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problem = question+"="
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solution = answer
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return problem, solution
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19
mathgenerator/funcs/combinationsFunc.py
Normal file
19
mathgenerator/funcs/combinationsFunc.py
Normal file
@@ -0,0 +1,19 @@
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from .__init__ import *
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|
def combinationsFunc(maxlength=20):
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|
def factorial(a):
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|
d = 1
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for i in range(a):
|
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|
a = (i + 1) * d
|
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|
d = a
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|
return d
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|
a = random.randint(10, maxlength)
|
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|
b = random.randint(0, 9)
|
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|
|
||||||
|
solution = int(factorial(a) / (factorial(b) * factorial(a - b)))
|
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|
problem = "Number of combinations from {} objects picked {} at a time ".format(a, b)
|
||||||
|
|
||||||
|
return problem, solution
|
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24
mathgenerator/funcs/commonFactorsFunc.py
Normal file
24
mathgenerator/funcs/commonFactorsFunc.py
Normal file
@@ -0,0 +1,24 @@
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|
from .__init__ import *
|
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|
|
||||||
|
|
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|
def commonFactorsFunc(maxVal=100):
|
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|
a = x = random.randint(1, maxVal)
|
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|
b = y = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
if (x < y):
|
||||||
|
min = x
|
||||||
|
else:
|
||||||
|
min = y
|
||||||
|
|
||||||
|
count = 0
|
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|
arr = []
|
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|
|
||||||
|
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
|
||||||
26
mathgenerator/funcs/compareFractionsFunc.py
Normal file
26
mathgenerator/funcs/compareFractionsFunc.py
Normal file
@@ -0,0 +1,26 @@
|
|||||||
|
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
|
||||||
30
mathgenerator/funcs/confidenceIntervalFunc.py
Normal file
30
mathgenerator/funcs/confidenceIntervalFunc.py
Normal file
@@ -0,0 +1,30 @@
|
|||||||
|
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
|
||||||
10
mathgenerator/funcs/cubeRootFunc.py
Normal file
10
mathgenerator/funcs/cubeRootFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
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
|
||||||
26
mathgenerator/funcs/dataSummaryFunc.py
Normal file
26
mathgenerator/funcs/dataSummaryFunc.py
Normal file
@@ -0,0 +1,26 @@
|
|||||||
|
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
|
||||||
14
mathgenerator/funcs/distanceTwoPointsFunc.py
Normal file
14
mathgenerator/funcs/distanceTwoPointsFunc.py
Normal file
@@ -0,0 +1,14 @@
|
|||||||
|
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
|
||||||
32
mathgenerator/funcs/divideFractionsFunc.py
Normal file
32
mathgenerator/funcs/divideFractionsFunc.py
Normal file
@@ -0,0 +1,32 @@
|
|||||||
|
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
|
||||||
11
mathgenerator/funcs/divisionFunc.py
Normal file
11
mathgenerator/funcs/divisionFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
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
|
||||||
13
mathgenerator/funcs/divisionToIntFunc.py
Normal file
13
mathgenerator/funcs/divisionToIntFunc.py
Normal file
@@ -0,0 +1,13 @@
|
|||||||
|
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
|
||||||
10
mathgenerator/funcs/exponentiationFunc.py
Normal file
10
mathgenerator/funcs/exponentiationFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
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
|
||||||
15
mathgenerator/funcs/factorialFunc.py
Normal file
15
mathgenerator/funcs/factorialFunc.py
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
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
|
||||||
29
mathgenerator/funcs/factoringFunc.py
Normal file
29
mathgenerator/funcs/factoringFunc.py
Normal file
@@ -0,0 +1,29 @@
|
|||||||
|
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
|
||||||
21
mathgenerator/funcs/fibonacciSeriesFunc.py
Normal file
21
mathgenerator/funcs/fibonacciSeriesFunc.py
Normal file
@@ -0,0 +1,21 @@
|
|||||||
|
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
|
||||||
14
mathgenerator/funcs/fourthAngleOfQuadriFunc.py
Normal file
14
mathgenerator/funcs/fourthAngleOfQuadriFunc.py
Normal file
@@ -0,0 +1,14 @@
|
|||||||
|
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
|
||||||
12
mathgenerator/funcs/gcdFunc.py
Normal file
12
mathgenerator/funcs/gcdFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
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
|
||||||
62
mathgenerator/funcs/intersectionOfTwoLinesFunc.py
Normal file
62
mathgenerator/funcs/intersectionOfTwoLinesFunc.py
Normal file
@@ -0,0 +1,62 @@
|
|||||||
|
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
|
||||||
19
mathgenerator/funcs/isTriangleValidFunc.py
Normal file
19
mathgenerator/funcs/isTriangleValidFunc.py
Normal file
@@ -0,0 +1,19 @@
|
|||||||
|
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
|
||||||
17
mathgenerator/funcs/lcmFunc.py
Normal file
17
mathgenerator/funcs/lcmFunc.py
Normal file
@@ -0,0 +1,17 @@
|
|||||||
|
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
|
||||||
25
mathgenerator/funcs/linearEquationsFunc.py
Normal file
25
mathgenerator/funcs/linearEquationsFunc.py
Normal file
@@ -0,0 +1,25 @@
|
|||||||
|
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
|
||||||
12
mathgenerator/funcs/logFunc.py
Normal file
12
mathgenerator/funcs/logFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
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
|
||||||
50
mathgenerator/funcs/matrixMultiplicationFunc.py
Normal file
50
mathgenerator/funcs/matrixMultiplicationFunc.py
Normal file
@@ -0,0 +1,50 @@
|
|||||||
|
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
|
||||||
11
mathgenerator/funcs/moduloFunc.py
Normal file
11
mathgenerator/funcs/moduloFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
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
|
||||||
11
mathgenerator/funcs/multiplicationFunc.py
Normal file
11
mathgenerator/funcs/multiplicationFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
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
|
||||||
32
mathgenerator/funcs/multiplyFractionsFunc.py
Normal file
32
mathgenerator/funcs/multiplyFractionsFunc.py
Normal file
@@ -0,0 +1,32 @@
|
|||||||
|
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
|
||||||
13
mathgenerator/funcs/multiplyIntToMatrix22.py
Normal file
13
mathgenerator/funcs/multiplyIntToMatrix22.py
Normal file
@@ -0,0 +1,13 @@
|
|||||||
|
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
|
||||||
10
mathgenerator/funcs/permutationFunc.py
Normal file
10
mathgenerator/funcs/permutationFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
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
|
||||||
18
mathgenerator/funcs/powerRuleDifferentiationFunc.py
Normal file
18
mathgenerator/funcs/powerRuleDifferentiationFunc.py
Normal file
@@ -0,0 +1,18 @@
|
|||||||
|
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
|
||||||
20
mathgenerator/funcs/powerRuleIntegrationFunc.py
Normal file
20
mathgenerator/funcs/powerRuleIntegrationFunc.py
Normal file
@@ -0,0 +1,20 @@
|
|||||||
|
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
|
||||||
22
mathgenerator/funcs/primeFactorsFunc.py
Normal file
22
mathgenerator/funcs/primeFactorsFunc.py
Normal file
@@ -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
|
||||||
11
mathgenerator/funcs/pythagoreanTheoremFunc.py
Normal file
11
mathgenerator/funcs/pythagoreanTheoremFunc.py
Normal file
@@ -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
|
||||||
12
mathgenerator/funcs/quadraticEquation.py
Normal file
12
mathgenerator/funcs/quadraticEquation.py
Normal file
@@ -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
|
||||||
10
mathgenerator/funcs/regularPolygonAngleFunc.py
Normal file
10
mathgenerator/funcs/regularPolygonAngleFunc.py
Normal file
@@ -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
|
||||||
12
mathgenerator/funcs/simpleInterestFunc.py
Normal file
12
mathgenerator/funcs/simpleInterestFunc.py
Normal file
@@ -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
|
||||||
10
mathgenerator/funcs/squareFunc.py
Normal file
10
mathgenerator/funcs/squareFunc.py
Normal file
@@ -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
|
||||||
10
mathgenerator/funcs/squareRootFunc.py
Normal file
10
mathgenerator/funcs/squareRootFunc.py
Normal file
@@ -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
|
||||||
11
mathgenerator/funcs/subtractionFunc.py
Normal file
11
mathgenerator/funcs/subtractionFunc.py
Normal file
@@ -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
|
||||||
10
mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py
Normal file
10
mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py
Normal file
@@ -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
|
||||||
17
mathgenerator/funcs/surdsComparisonFunc.py
Normal file
17
mathgenerator/funcs/surdsComparisonFunc.py
Normal file
@@ -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
|
||||||
13
mathgenerator/funcs/surfaceAreaCone.py
Normal file
13
mathgenerator/funcs/surfaceAreaCone.py
Normal file
@@ -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
|
||||||
9
mathgenerator/funcs/surfaceAreaCube.py
Normal file
9
mathgenerator/funcs/surfaceAreaCube.py
Normal file
@@ -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
|
||||||
12
mathgenerator/funcs/surfaceAreaCuboid.py
Normal file
12
mathgenerator/funcs/surfaceAreaCuboid.py
Normal file
@@ -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
|
||||||
11
mathgenerator/funcs/surfaceAreaCylinder.py
Normal file
11
mathgenerator/funcs/surfaceAreaCylinder.py
Normal file
@@ -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
|
||||||
10
mathgenerator/funcs/surfaceAreaSphere.py
Normal file
10
mathgenerator/funcs/surfaceAreaSphere.py
Normal file
@@ -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
|
||||||
45
mathgenerator/funcs/systemOfEquationsFunc.py
Normal file
45
mathgenerator/funcs/systemOfEquationsFunc.py
Normal file
@@ -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
|
||||||
11
mathgenerator/funcs/thirdAngleOfTriangleFunc.py
Normal file
11
mathgenerator/funcs/thirdAngleOfTriangleFunc.py
Normal file
@@ -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
|
||||||
13
mathgenerator/funcs/vectorCrossFunc.py
Normal file
13
mathgenerator/funcs/vectorCrossFunc.py
Normal file
@@ -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
|
||||||
11
mathgenerator/funcs/volumeCone.py
Normal file
11
mathgenerator/funcs/volumeCone.py
Normal file
@@ -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
|
||||||
10
mathgenerator/funcs/volumeCube.py
Normal file
10
mathgenerator/funcs/volumeCube.py
Normal file
@@ -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
|
||||||
12
mathgenerator/funcs/volumeCuboid.py
Normal file
12
mathgenerator/funcs/volumeCuboid.py
Normal file
@@ -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
|
||||||
11
mathgenerator/funcs/volumeCylinder.py
Normal file
11
mathgenerator/funcs/volumeCylinder.py
Normal file
@@ -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
|
||||||
10
mathgenerator/funcs/volumeSphereFunc.py
Normal file
10
mathgenerator/funcs/volumeSphereFunc.py
Normal file
@@ -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
|
||||||
@@ -1,6 +1,7 @@
|
|||||||
import random
|
import random
|
||||||
import math
|
import math
|
||||||
import fractions
|
import fractions
|
||||||
|
from .funcs import *
|
||||||
|
|
||||||
genList = []
|
genList = []
|
||||||
|
|
||||||
@@ -27,901 +28,13 @@ def genById(id):
|
|||||||
generator = genList[id][2]
|
generator = genList[id][2]
|
||||||
return(generator())
|
return(generator())
|
||||||
|
|
||||||
|
#
|
||||||
def getGenList():
|
def getGenList():
|
||||||
return(genList)
|
return(genList)
|
||||||
|
|
||||||
# || Generator Functions
|
# || 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
|
# || Class Instances
|
||||||
|
|
||||||
# Format is:
|
# Format is:
|
||||||
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
|
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
|
||||||
addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
|
addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
|
||||||
@@ -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)
|
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)
|
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)
|
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", 51,"If n dices are rolled then probabilty of getting sum of x is =","z", DiceSumProbFunc)
|
||||||
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", 52,"a^b = ","c",exponentiationFunc)
|
||||||
exponentiation = Generator("Exponentiation", 53,"a^b = ","c",exponentiationFunc)
|
confidenceInterval = Generator("Confidence interval For sample S", 53, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
|
||||||
confidenceInterval = Generator("Confidence interval For sample S", 54, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
|
surdsComparison = Generator("Comparing surds", 54, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc)
|
||||||
surdsComparison = Generator("Comparing surds", 55, "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)
|
||||||
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",56,"What is sin(X)?","ans",basicTrigonometryFunc)
|
||||||
basicTrigonometry=Generator("Trigonometric Values",57,"What is sin(X)?","ans",basicTrigonometryFunc)
|
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 57, "Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc)
|
||||||
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58, "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)
|
||||||
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)
|
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)
|
volumeSphere=Generator("Volume of Sphere",60,"Volume of sphere with radius r m = ","(4*pi/3)*r*r*r",volumeSphereFunc)
|
||||||
|
|||||||
25
mathgenerator/separate_funcs.py
Normal file
25
mathgenerator/separate_funcs.py
Normal 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)
|
||||||
Reference in New Issue
Block a user