From b1a06816dd44432f51c39059d2c7379a069a1252 Mon Sep 17 00:00:00 2001 From: helplessThor <66440538+helplessThor@users.noreply.github.com> Date: Sat, 17 Oct 2020 15:11:18 +0530 Subject: [PATCH 1/4] Update mathgen.py Compound Interest added --- mathgenerator/mathgen.py | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/mathgenerator/mathgen.py b/mathgenerator/mathgen.py index 1041a55..f986d76 100644 --- a/mathgenerator/mathgen.py +++ b/mathgenerator/mathgen.py @@ -637,6 +637,15 @@ def simpleInterestFunc(maxPrinciple = 10000, maxRate = 10, maxTime = 10): 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 compoundInterestFunc(maxPrinciple = 10000, maxRate = 10, maxTime = 10, maxPeriod = ): + p = random.randint(100, maxPrinciple) + r = random.randint(1, maxRate) + t = random.randint(1, maxTime) + n = random.randint(1, maxPeriod) + A = p * ((1 + (r/(100*n))**(n*t))) + problem = "Compound Interest for a principle amount of " + str(p) + " dollars, " + str(r) + "% rate of interest and for a time period of " + str(t) + " compounded monthly is = " + solution = round(A, 2) + return problem, solution def matrixMultiplicationFunc(maxVal=100): m= random.randint(2, 10) From 76c8d0e5609ba471e49f6c205b247494733157e2 Mon Sep 17 00:00:00 2001 From: helplessThor <66440538+helplessThor@users.noreply.github.com> Date: Mon, 19 Oct 2020 19:33:00 +0530 Subject: [PATCH 2/4] Add files via upload --- mathgenerator/funcs/BinaryToDecimalFunc.py | 12 +++ mathgenerator/funcs/DecimalToBinaryFunc.py | 11 +++ mathgenerator/funcs/DiceSumProbFunc.py | 25 ++++++ mathgenerator/funcs/MidPointOfTwoPointFunc.py | 12 +++ mathgenerator/funcs/__init__.py | 79 +++++++++++++++++++ mathgenerator/funcs/absoluteDifferenceFunc.py | 10 +++ mathgenerator/funcs/additionFunc.py | 10 +++ mathgenerator/funcs/angleBtwVectorsFunc.py | 16 ++++ mathgenerator/funcs/areaOfTriangleFunc.py | 14 ++++ mathgenerator/funcs/basicAlgebraFunc.py | 25 ++++++ mathgenerator/funcs/basicTrigonometryFunc.py | 14 ++++ mathgenerator/funcs/binary2sComplement.py | 26 ++++++ mathgenerator/funcs/binaryComplement1sFunc.py | 15 ++++ mathgenerator/funcs/binaryToHexFunc.py | 11 +++ mathgenerator/funcs/combinationsFunc.py | 19 +++++ mathgenerator/funcs/commonFactorsFunc.py | 24 ++++++ mathgenerator/funcs/compareFractionsFunc.py | 26 ++++++ mathgenerator/funcs/confidenceIntervalFunc.py | 30 +++++++ mathgenerator/funcs/cubeRootFunc.py | 10 +++ mathgenerator/funcs/dataSummaryFunc.py | 26 ++++++ mathgenerator/funcs/distanceTwoPointsFunc.py | 14 ++++ mathgenerator/funcs/divideFractionsFunc.py | 32 ++++++++ mathgenerator/funcs/divisionFunc.py | 11 +++ mathgenerator/funcs/divisionToIntFunc.py | 13 +++ mathgenerator/funcs/euclidianNormFunc.py | 7 ++ mathgenerator/funcs/exponentiationFunc.py | 10 +++ mathgenerator/funcs/factorialFunc.py | 15 ++++ mathgenerator/funcs/factoringFunc.py | 29 +++++++ mathgenerator/funcs/fibonacciSeriesFunc.py | 21 +++++ .../funcs/fourthAngleOfQuadriFunc.py | 14 ++++ mathgenerator/funcs/gcdFunc.py | 12 +++ mathgenerator/funcs/geomProgrFunc.py | 15 ++++ mathgenerator/funcs/geometricMeanFunc.py | 27 +++++++ mathgenerator/funcs/harmonicMeanFunc.py | 28 +++++++ mathgenerator/funcs/hcfFunc.py | 11 +++ .../funcs/intersectionOfTwoLinesFunc.py | 62 +++++++++++++++ mathgenerator/funcs/isTriangleValidFunc.py | 19 +++++ mathgenerator/funcs/lcmFunc.py | 17 ++++ mathgenerator/funcs/linearEquationsFunc.py | 25 ++++++ mathgenerator/funcs/logFunc.py | 12 +++ mathgenerator/funcs/matrixInversion.py | 69 ++++++++++++++++ .../funcs/matrixMultiplicationFunc.py | 51 ++++++++++++ mathgenerator/funcs/moduloFunc.py | 11 +++ mathgenerator/funcs/multiplicationFunc.py | 11 +++ .../funcs/multiplyComplexNumbersFunc.py | 9 +++ mathgenerator/funcs/multiplyFractionsFunc.py | 32 ++++++++ mathgenerator/funcs/multiplyIntToMatrix22.py | 13 +++ mathgenerator/funcs/nthFibonacciNumberFunc.py | 10 +++ mathgenerator/funcs/permutationFunc.py | 10 +++ .../funcs/powerRuleDifferentiationFunc.py | 18 +++++ .../funcs/powerRuleIntegrationFunc.py | 20 +++++ mathgenerator/funcs/primeFactorsFunc.py | 22 ++++++ mathgenerator/funcs/profitLossPercentFunc.py | 16 ++++ mathgenerator/funcs/pythagoreanTheoremFunc.py | 11 +++ mathgenerator/funcs/quadraticEquation.py | 12 +++ .../funcs/regularPolygonAngleFunc.py | 10 +++ mathgenerator/funcs/simpleInterestFunc.py | 12 +++ mathgenerator/funcs/squareFunc.py | 10 +++ mathgenerator/funcs/squareRootFunc.py | 10 +++ mathgenerator/funcs/subtractionFunc.py | 11 +++ .../funcs/sumOfAnglesOfPolygonFunc.py | 10 +++ mathgenerator/funcs/surdsComparisonFunc.py | 17 ++++ mathgenerator/funcs/surfaceAreaCone.py | 13 +++ mathgenerator/funcs/surfaceAreaCube.py | 9 +++ mathgenerator/funcs/surfaceAreaCuboid.py | 12 +++ mathgenerator/funcs/surfaceAreaCylinder.py | 11 +++ mathgenerator/funcs/surfaceAreaSphere.py | 10 +++ mathgenerator/funcs/systemOfEquationsFunc.py | 45 +++++++++++ .../funcs/thirdAngleOfTriangleFunc.py | 11 +++ mathgenerator/funcs/vectorCrossFunc.py | 13 +++ mathgenerator/funcs/vectorDotFunc.py | 11 +++ mathgenerator/funcs/volumeCone.py | 11 +++ mathgenerator/funcs/volumeCube.py | 10 +++ mathgenerator/funcs/volumeCuboid.py | 12 +++ mathgenerator/funcs/volumeCylinder.py | 11 +++ mathgenerator/funcs/volumeSphereFunc.py | 10 +++ 76 files changed, 1393 insertions(+) create mode 100644 mathgenerator/funcs/BinaryToDecimalFunc.py create mode 100644 mathgenerator/funcs/DecimalToBinaryFunc.py create mode 100644 mathgenerator/funcs/DiceSumProbFunc.py create mode 100644 mathgenerator/funcs/MidPointOfTwoPointFunc.py create mode 100644 mathgenerator/funcs/__init__.py create mode 100644 mathgenerator/funcs/absoluteDifferenceFunc.py create mode 100644 mathgenerator/funcs/additionFunc.py create mode 100644 mathgenerator/funcs/angleBtwVectorsFunc.py create mode 100644 mathgenerator/funcs/areaOfTriangleFunc.py create mode 100644 mathgenerator/funcs/basicAlgebraFunc.py create mode 100644 mathgenerator/funcs/basicTrigonometryFunc.py create mode 100644 mathgenerator/funcs/binary2sComplement.py create mode 100644 mathgenerator/funcs/binaryComplement1sFunc.py create mode 100644 mathgenerator/funcs/binaryToHexFunc.py create mode 100644 mathgenerator/funcs/combinationsFunc.py create mode 100644 mathgenerator/funcs/commonFactorsFunc.py create mode 100644 mathgenerator/funcs/compareFractionsFunc.py create mode 100644 mathgenerator/funcs/confidenceIntervalFunc.py create mode 100644 mathgenerator/funcs/cubeRootFunc.py create mode 100644 mathgenerator/funcs/dataSummaryFunc.py create mode 100644 mathgenerator/funcs/distanceTwoPointsFunc.py create mode 100644 mathgenerator/funcs/divideFractionsFunc.py create mode 100644 mathgenerator/funcs/divisionFunc.py create mode 100644 mathgenerator/funcs/divisionToIntFunc.py create mode 100644 mathgenerator/funcs/euclidianNormFunc.py create mode 100644 mathgenerator/funcs/exponentiationFunc.py create mode 100644 mathgenerator/funcs/factorialFunc.py create mode 100644 mathgenerator/funcs/factoringFunc.py create mode 100644 mathgenerator/funcs/fibonacciSeriesFunc.py create mode 100644 mathgenerator/funcs/fourthAngleOfQuadriFunc.py create mode 100644 mathgenerator/funcs/gcdFunc.py create mode 100644 mathgenerator/funcs/geomProgrFunc.py create mode 100644 mathgenerator/funcs/geometricMeanFunc.py create mode 100644 mathgenerator/funcs/harmonicMeanFunc.py create mode 100644 mathgenerator/funcs/hcfFunc.py create mode 100644 mathgenerator/funcs/intersectionOfTwoLinesFunc.py create mode 100644 mathgenerator/funcs/isTriangleValidFunc.py create mode 100644 mathgenerator/funcs/lcmFunc.py create mode 100644 mathgenerator/funcs/linearEquationsFunc.py create mode 100644 mathgenerator/funcs/logFunc.py create mode 100644 mathgenerator/funcs/matrixInversion.py create mode 100644 mathgenerator/funcs/matrixMultiplicationFunc.py create mode 100644 mathgenerator/funcs/moduloFunc.py create mode 100644 mathgenerator/funcs/multiplicationFunc.py create mode 100644 mathgenerator/funcs/multiplyComplexNumbersFunc.py create mode 100644 mathgenerator/funcs/multiplyFractionsFunc.py create mode 100644 mathgenerator/funcs/multiplyIntToMatrix22.py create mode 100644 mathgenerator/funcs/nthFibonacciNumberFunc.py create mode 100644 mathgenerator/funcs/permutationFunc.py create mode 100644 mathgenerator/funcs/powerRuleDifferentiationFunc.py create mode 100644 mathgenerator/funcs/powerRuleIntegrationFunc.py create mode 100644 mathgenerator/funcs/primeFactorsFunc.py create mode 100644 mathgenerator/funcs/profitLossPercentFunc.py create mode 100644 mathgenerator/funcs/pythagoreanTheoremFunc.py create mode 100644 mathgenerator/funcs/quadraticEquation.py create mode 100644 mathgenerator/funcs/regularPolygonAngleFunc.py create mode 100644 mathgenerator/funcs/simpleInterestFunc.py create mode 100644 mathgenerator/funcs/squareFunc.py create mode 100644 mathgenerator/funcs/squareRootFunc.py create mode 100644 mathgenerator/funcs/subtractionFunc.py create mode 100644 mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py create mode 100644 mathgenerator/funcs/surdsComparisonFunc.py create mode 100644 mathgenerator/funcs/surfaceAreaCone.py create mode 100644 mathgenerator/funcs/surfaceAreaCube.py create mode 100644 mathgenerator/funcs/surfaceAreaCuboid.py create mode 100644 mathgenerator/funcs/surfaceAreaCylinder.py create mode 100644 mathgenerator/funcs/surfaceAreaSphere.py create mode 100644 mathgenerator/funcs/systemOfEquationsFunc.py create mode 100644 mathgenerator/funcs/thirdAngleOfTriangleFunc.py create mode 100644 mathgenerator/funcs/vectorCrossFunc.py create mode 100644 mathgenerator/funcs/vectorDotFunc.py create mode 100644 mathgenerator/funcs/volumeCone.py create mode 100644 mathgenerator/funcs/volumeCube.py create mode 100644 mathgenerator/funcs/volumeCuboid.py create mode 100644 mathgenerator/funcs/volumeCylinder.py create mode 100644 mathgenerator/funcs/volumeSphereFunc.py diff --git a/mathgenerator/funcs/BinaryToDecimalFunc.py b/mathgenerator/funcs/BinaryToDecimalFunc.py new file mode 100644 index 0000000..27b165d --- /dev/null +++ b/mathgenerator/funcs/BinaryToDecimalFunc.py @@ -0,0 +1,12 @@ +from .__init__ import * + + +def BinaryToDecimalFunc(max_dig=10): + problem = '' + + for i in range(random.randint(1, max_dig)): + temp = str(random.randint(0, 1)) + problem += temp + + solution = int(problem, 2) + return problem, solution diff --git a/mathgenerator/funcs/DecimalToBinaryFunc.py b/mathgenerator/funcs/DecimalToBinaryFunc.py new file mode 100644 index 0000000..8df2d8a --- /dev/null +++ b/mathgenerator/funcs/DecimalToBinaryFunc.py @@ -0,0 +1,11 @@ +from .__init__ import * + + +def DecimalToBinaryFunc(max_dec=99): + a = random.randint(1, max_dec) + b = bin(a).replace("0b", "") + + problem = "Binary of " + str(a) + "=" + solution = str(b) + + return problem, solution diff --git a/mathgenerator/funcs/DiceSumProbFunc.py b/mathgenerator/funcs/DiceSumProbFunc.py new file mode 100644 index 0000000..2180ee4 --- /dev/null +++ b/mathgenerator/funcs/DiceSumProbFunc.py @@ -0,0 +1,25 @@ +from .__init__ import * + + +def DiceSumProbFunc(maxDice=3): + a = random.randint(1,maxDice) + b = random.randint(a,6*a) + + count=0 + for i in [1,2,3,4,5,6]: + if a==1: + if i==b: + count=count+1 + elif a==2: + for j in [1,2,3,4,5,6]: + if i+j==b: + count=count+1 + elif a==3: + for j in [1,2,3,4,5,6]: + for k in [1,2,3,4,5,6]: + if i+j+k==b: + count=count+1 + + problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(a,b) + solution="{}/{}".format(count, 6**a) + return problem, solution diff --git a/mathgenerator/funcs/MidPointOfTwoPointFunc.py b/mathgenerator/funcs/MidPointOfTwoPointFunc.py new file mode 100644 index 0000000..3c9202a --- /dev/null +++ b/mathgenerator/funcs/MidPointOfTwoPointFunc.py @@ -0,0 +1,12 @@ +from .__init__ import * + + +def MidPointOfTwoPointFunc(maxValue=20): + x1 = random.randint(-20, maxValue) + y1 = random.randint(-20, maxValue) + x2 = random.randint(-20, maxValue) + y2 = random.randint(-20, maxValue) + + problem = f"({x1},{y1}),({x2},{y2})=" + solution = f"({(x1+x2)/2},{(y1+y2)/2})" + return problem, solution diff --git a/mathgenerator/funcs/__init__.py b/mathgenerator/funcs/__init__.py new file mode 100644 index 0000000..f054a11 --- /dev/null +++ b/mathgenerator/funcs/__init__.py @@ -0,0 +1,79 @@ +import random +import math +import fractions + +from .additionFunc import * +from .subtractionFunc import * +from .multiplicationFunc import * +from .divisionFunc import * +from .binaryComplement1sFunc import * +from .moduloFunc import * +from .squareRootFunc import * +from .powerRuleDifferentiationFunc import * +from .squareFunc import * +from .gcdFunc import * +from .lcmFunc import * +from .basicAlgebraFunc import * +from .logFunc import * +from .divisionToIntFunc import * +from .DecimalToBinaryFunc import * +from .BinaryToDecimalFunc import * +from .divideFractionsFunc import * +from .multiplyIntToMatrix22 import * +from .areaOfTriangleFunc import * +from .isTriangleValidFunc import * +from .MidPointOfTwoPointFunc import * +from .factoringFunc import * +from .thirdAngleOfTriangleFunc import * +from .systemOfEquationsFunc import * +from .distanceTwoPointsFunc import * +from .pythagoreanTheoremFunc import * +from .linearEquationsFunc import * +from .primeFactorsFunc import * +from .multiplyFractionsFunc import * +from .regularPolygonAngleFunc import * +from .combinationsFunc import * +from .factorialFunc import * +from .surfaceAreaCube import * +from .volumeCube import * +from .surfaceAreaCuboid import * +from .volumeCuboid import * +from .surfaceAreaCylinder import * +from .volumeCylinder import * +from .surfaceAreaCone import * +from .volumeCone import * +from .commonFactorsFunc import * +from .intersectionOfTwoLinesFunc import * +from .permutationFunc import * +from .vectorCrossFunc import * +from .compareFractionsFunc import * +from .simpleInterestFunc import * +from .matrixMultiplicationFunc import * +from .cubeRootFunc import * +from .powerRuleIntegrationFunc import * +from .fourthAngleOfQuadriFunc import * +from .quadraticEquation import * +from .hcfFunc import * +from .DiceSumProbFunc import * +from .exponentiationFunc import * +from .confidenceIntervalFunc import * +from .surdsComparisonFunc import * +from .fibonacciSeriesFunc import * +from .basicTrigonometryFunc import * +from .sumOfAnglesOfPolygonFunc import * +from .dataSummaryFunc import * +from .surfaceAreaSphere import * +from .volumeSphereFunc import * +from .nthFibonacciNumberFunc import * +from .profitLossPercentFunc import * +from .binaryToHexFunc import * +from .multiplyComplexNumbersFunc import * +from .geomProgrFunc import * +from .geometricMeanFunc import * +from .harmonicMeanFunc import * +from .euclidianNormFunc import * +from .angleBtwVectorsFunc import * +from .absoluteDifferenceFunc import * +from .vectorDotFunc import * +from .binary2sComplement import * +from .matrixInversion import * diff --git a/mathgenerator/funcs/absoluteDifferenceFunc.py b/mathgenerator/funcs/absoluteDifferenceFunc.py new file mode 100644 index 0000000..d578d19 --- /dev/null +++ b/mathgenerator/funcs/absoluteDifferenceFunc.py @@ -0,0 +1,10 @@ +from .__init__ import * + +def absoluteDifferenceFunc (maxA = 100, maxB = 100): + a = random.randint(-1*maxA, maxA) + b = random.randint(-1*maxB, maxB) + absDiff = abs(a-b) + + problem = "Absolute difference between numbers " + str(a) + " and " + str(b) + " = " + solution = absDiff + return problem, solution \ No newline at end of file diff --git a/mathgenerator/funcs/additionFunc.py b/mathgenerator/funcs/additionFunc.py new file mode 100644 index 0000000..30dfefe --- /dev/null +++ b/mathgenerator/funcs/additionFunc.py @@ -0,0 +1,10 @@ +from .__init__ import * + + +def additionFunc(maxSum=99, maxAddend=50): + a = random.randint(0, maxAddend) + b = random.randint(0, min((maxSum - a), maxAddend)) # The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well + c = a + b + problem = str(a) + "+" + str(b) + "=" + solution = str(c) + return problem, solution diff --git a/mathgenerator/funcs/angleBtwVectorsFunc.py b/mathgenerator/funcs/angleBtwVectorsFunc.py new file mode 100644 index 0000000..bd2d0b5 --- /dev/null +++ b/mathgenerator/funcs/angleBtwVectorsFunc.py @@ -0,0 +1,16 @@ +from .euclidianNormFunc import euclidianNormFunc +import math +from .__init__ import * + + +def angleBtwVectorsFunc(v1: list, v2: list): + sum = 0 + for i in v1: + for j in v2: + sum += i * j + + mags = euclidianNormFunc(v1) * euclidianNormFunc(v2) + problem = f"angle between the vectors {v1} and {v2} is:" + solution = math.acos(sum / mags) + # would return the answer in radians + return problem, solution diff --git a/mathgenerator/funcs/areaOfTriangleFunc.py b/mathgenerator/funcs/areaOfTriangleFunc.py new file mode 100644 index 0000000..a5e1250 --- /dev/null +++ b/mathgenerator/funcs/areaOfTriangleFunc.py @@ -0,0 +1,14 @@ +from .__init__ import * + + +def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20): + a = random.randint(1, maxA) + b = random.randint(1, maxB) + c = random.randint(1, maxC) + + s = (a + b + c) / 2 + area = (s * (s - a) * (s - b) * (s - c)) ** 0.5 + + problem = "Area of triangle with side lengths: " + str(a) + " " + str(b) + " " + str(c) + " = " + solution = area + return problem, solution diff --git a/mathgenerator/funcs/basicAlgebraFunc.py b/mathgenerator/funcs/basicAlgebraFunc.py new file mode 100644 index 0000000..939ac5e --- /dev/null +++ b/mathgenerator/funcs/basicAlgebraFunc.py @@ -0,0 +1,25 @@ +from .__init__ import * + + +def basicAlgebraFunc(maxVariable=10): + a = random.randint(1, maxVariable) + b = random.randint(1, maxVariable) + c = random.randint(b, maxVariable) + + # calculate gcd + def calculate_gcd(x, y): + while(y): + x, y = y, x % y + return x + + i = calculate_gcd((c - b), a) + x = f"{(c - b)//i}/{a//i}" + + if (c - b == 0): + x = "0" + elif a == 1 or a == i: + x = f"{c - b}" + + problem = f"{a}x + {b} = {c}" + solution = x + return problem, solution diff --git a/mathgenerator/funcs/basicTrigonometryFunc.py b/mathgenerator/funcs/basicTrigonometryFunc.py new file mode 100644 index 0000000..dd4fe5d --- /dev/null +++ b/mathgenerator/funcs/basicTrigonometryFunc.py @@ -0,0 +1,14 @@ +from .__init__ import * + + +def basicTrigonometryFunc(angles=[0,30,45,60,90],functions=["sin","cos","tan"]): #Handles degrees in quadrant one + angle=random.choice(angles) + function=random.choice(functions) + + problem=f"What is {function}({angle})?" + + expression='math.'+function+'(math.radians(angle))' + result_fraction_map={0.0:"0",0.5:"1/2",0.71:"1/√2",0.87:"√3/2",1.0:"1",0.58:"1/√3",1.73:"√3"} + + solution=result_fraction_map[round(eval(expression),2)] if round(eval(expression),2)<=99999 else "∞" #for handling the ∞ condition + return problem,solution diff --git a/mathgenerator/funcs/binary2sComplement.py b/mathgenerator/funcs/binary2sComplement.py new file mode 100644 index 0000000..f51b797 --- /dev/null +++ b/mathgenerator/funcs/binary2sComplement.py @@ -0,0 +1,26 @@ +from .__init__ import * + +def binary2sComplementFunc(maxDigits=10): + digits = random.randint(1, maxDigits) + question = ''.join([str(random.randint(0, 1)) for i in range(digits)]).lstrip('0') + + answer = [] + for i in question: + answer.append(str(int(not bool(int(i))))) + + carry = True + j = len(answer) - 1 + while j >= 0: + if answer[j] == '0': + answer[j] = '1' + carry = False + break + answer[j] = '0' + j -= 1 + + if j == 0 and carry == True: + answer.insert(0, '1') + + problem = "2's complement of " + question + " =" + solution = ''.join(answer).lstrip('0') + return problem, solution \ No newline at end of file diff --git a/mathgenerator/funcs/binaryComplement1sFunc.py b/mathgenerator/funcs/binaryComplement1sFunc.py new file mode 100644 index 0000000..2568303 --- /dev/null +++ b/mathgenerator/funcs/binaryComplement1sFunc.py @@ -0,0 +1,15 @@ +from .__init__ import * + + +def binaryComplement1sFunc(maxDigits=10): + question = '' + answer = '' + + for i in range(random.randint(1, maxDigits)): + temp = str(random.randint(0, 1)) + question += temp + answer += "0" if temp == "1" else "1" + + problem = question+"=" + solution = answer + return problem, solution diff --git a/mathgenerator/funcs/binaryToHexFunc.py b/mathgenerator/funcs/binaryToHexFunc.py new file mode 100644 index 0000000..0f3e962 --- /dev/null +++ b/mathgenerator/funcs/binaryToHexFunc.py @@ -0,0 +1,11 @@ +from .__init__ import * + + +def binaryToHexFunc(max_dig=10): + problem = '' + for i in range(random.randint(1, max_dig)): + temp = str(random.randint(0, 1)) + problem += temp + + solution = hex(int(problem, 2)) + return problem, solution diff --git a/mathgenerator/funcs/combinationsFunc.py b/mathgenerator/funcs/combinationsFunc.py new file mode 100644 index 0000000..79390a6 --- /dev/null +++ b/mathgenerator/funcs/combinationsFunc.py @@ -0,0 +1,19 @@ +from .__init__ import * + + +def combinationsFunc(maxlength=20): + + def factorial(a): + d = 1 + for i in range(a): + a = (i + 1) * d + d = a + return d + + a = random.randint(10, maxlength) + b = random.randint(0, 9) + + solution = int(factorial(a) / (factorial(b) * factorial(a - b))) + problem = "Number of combinations from {} objects picked {} at a time ".format(a, b) + + return problem, solution diff --git a/mathgenerator/funcs/commonFactorsFunc.py b/mathgenerator/funcs/commonFactorsFunc.py new file mode 100644 index 0000000..633abb3 --- /dev/null +++ b/mathgenerator/funcs/commonFactorsFunc.py @@ -0,0 +1,24 @@ +from .__init__ import * + + +def commonFactorsFunc(maxVal=100): + a = x = random.randint(1, maxVal) + b = y = random.randint(1, maxVal) + + if (x < y): + min = x + else: + min = y + + count = 0 + arr = [] + + for i in range(1, min + 1): + if (x % i == 0): + if (y % i == 0): + count = count + 1 + arr.append(i) + + problem = f"Common Factors of {a} and {b} = " + solution = arr + return problem, solution diff --git a/mathgenerator/funcs/compareFractionsFunc.py b/mathgenerator/funcs/compareFractionsFunc.py new file mode 100644 index 0000000..d0d08a4 --- /dev/null +++ b/mathgenerator/funcs/compareFractionsFunc.py @@ -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 diff --git a/mathgenerator/funcs/confidenceIntervalFunc.py b/mathgenerator/funcs/confidenceIntervalFunc.py new file mode 100644 index 0000000..32bd26a --- /dev/null +++ b/mathgenerator/funcs/confidenceIntervalFunc.py @@ -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 diff --git a/mathgenerator/funcs/cubeRootFunc.py b/mathgenerator/funcs/cubeRootFunc.py new file mode 100644 index 0000000..c9de53c --- /dev/null +++ b/mathgenerator/funcs/cubeRootFunc.py @@ -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 diff --git a/mathgenerator/funcs/dataSummaryFunc.py b/mathgenerator/funcs/dataSummaryFunc.py new file mode 100644 index 0000000..016737c --- /dev/null +++ b/mathgenerator/funcs/dataSummaryFunc.py @@ -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 diff --git a/mathgenerator/funcs/distanceTwoPointsFunc.py b/mathgenerator/funcs/distanceTwoPointsFunc.py new file mode 100644 index 0000000..1f48f90 --- /dev/null +++ b/mathgenerator/funcs/distanceTwoPointsFunc.py @@ -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 diff --git a/mathgenerator/funcs/divideFractionsFunc.py b/mathgenerator/funcs/divideFractionsFunc.py new file mode 100644 index 0000000..abfbec6 --- /dev/null +++ b/mathgenerator/funcs/divideFractionsFunc.py @@ -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 diff --git a/mathgenerator/funcs/divisionFunc.py b/mathgenerator/funcs/divisionFunc.py new file mode 100644 index 0000000..60af33d --- /dev/null +++ b/mathgenerator/funcs/divisionFunc.py @@ -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 diff --git a/mathgenerator/funcs/divisionToIntFunc.py b/mathgenerator/funcs/divisionToIntFunc.py new file mode 100644 index 0000000..d5f3cfd --- /dev/null +++ b/mathgenerator/funcs/divisionToIntFunc.py @@ -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 diff --git a/mathgenerator/funcs/euclidianNormFunc.py b/mathgenerator/funcs/euclidianNormFunc.py new file mode 100644 index 0000000..f66329e --- /dev/null +++ b/mathgenerator/funcs/euclidianNormFunc.py @@ -0,0 +1,7 @@ +from .__init__ import * + + +def euclidianNormFunc(v1: list): + problem = f"Euclidian norm or L2 norm of the vector{v1} is:" + solution = sqrt(sum([i**2 for i in v1])) + return problem, solution diff --git a/mathgenerator/funcs/exponentiationFunc.py b/mathgenerator/funcs/exponentiationFunc.py new file mode 100644 index 0000000..4ff1ba1 --- /dev/null +++ b/mathgenerator/funcs/exponentiationFunc.py @@ -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 diff --git a/mathgenerator/funcs/factorialFunc.py b/mathgenerator/funcs/factorialFunc.py new file mode 100644 index 0000000..ac4536c --- /dev/null +++ b/mathgenerator/funcs/factorialFunc.py @@ -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 diff --git a/mathgenerator/funcs/factoringFunc.py b/mathgenerator/funcs/factoringFunc.py new file mode 100644 index 0000000..c52482f --- /dev/null +++ b/mathgenerator/funcs/factoringFunc.py @@ -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 \ No newline at end of file diff --git a/mathgenerator/funcs/fibonacciSeriesFunc.py b/mathgenerator/funcs/fibonacciSeriesFunc.py new file mode 100644 index 0000000..42de00d --- /dev/null +++ b/mathgenerator/funcs/fibonacciSeriesFunc.py @@ -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 diff --git a/mathgenerator/funcs/fourthAngleOfQuadriFunc.py b/mathgenerator/funcs/fourthAngleOfQuadriFunc.py new file mode 100644 index 0000000..d183e17 --- /dev/null +++ b/mathgenerator/funcs/fourthAngleOfQuadriFunc.py @@ -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 diff --git a/mathgenerator/funcs/gcdFunc.py b/mathgenerator/funcs/gcdFunc.py new file mode 100644 index 0000000..505c7fb --- /dev/null +++ b/mathgenerator/funcs/gcdFunc.py @@ -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 diff --git a/mathgenerator/funcs/geomProgrFunc.py b/mathgenerator/funcs/geomProgrFunc.py new file mode 100644 index 0000000..3e3ad5c --- /dev/null +++ b/mathgenerator/funcs/geomProgrFunc.py @@ -0,0 +1,15 @@ +from .__init__ import * + +def geomProgrFunc(number_values=6, min_value=2, max_value=12, n_term=7, sum_term=5): + r=random.randint(min_value,max_value) + a=random.randint(min_value,max_value) + n_term=random.randint(number_values,number_values+5) + sum_term=random.randint(number_values,number_values+5) + GP=[] + for i in range(number_values): + GP.append(a*(r**i)) + problem="For the given GP "+str(GP)+" ,Find the value of a,common ratio,"+str(n_term)+"th term value, sum upto "+str(sum_term)+"th term" + value_nth_term=a*(r**(n_term-1)) + sum_till_nth_term=a*((r**sum_term-1)/(r-1)) + solution="The value of a is {}, common ratio is {} , {}th term is {} , sum upto {}th term is {}".format(a,r,n_term,value_nth_term,sum_term,sum_till_nth_term) + return problem,solution diff --git a/mathgenerator/funcs/geometricMeanFunc.py b/mathgenerator/funcs/geometricMeanFunc.py new file mode 100644 index 0000000..05ded2b --- /dev/null +++ b/mathgenerator/funcs/geometricMeanFunc.py @@ -0,0 +1,27 @@ +from .__init__ import * + + +def geometricMeanFunc(maxValue=100, maxNum=4): + a=random.randint(1,maxValue) + b=random.randint(1,maxValue) + c=random.randint(1,maxValue) + d=random.randint(1,maxValue) + num=random.randint(2,4) + if num==2: + product=a*b + elif num==3: + product=a*b*c + elif num==4: + product=a*b*c*d + + ans=product**(1/num) + if num==2: + problem=f"Geometric mean of {num} numbers {a} and {b} = " + solution = f"({a}*{b})^(1/{num}) = {ans}" + elif num==3: + problem=f"Geometric mean of {num} numbers {a} , {b} and {c} = " + solution = f"({a}*{b}*{c})^(1/{num}) = {ans}" + elif num==4: + problem=f"Geometric mean of {num} numbers {a} , {b} , {c} , {d} = " + solution = f"({a}*{b}*{c}*{d})^(1/{num}) = {ans}" + return problem,solution diff --git a/mathgenerator/funcs/harmonicMeanFunc.py b/mathgenerator/funcs/harmonicMeanFunc.py new file mode 100644 index 0000000..035273f --- /dev/null +++ b/mathgenerator/funcs/harmonicMeanFunc.py @@ -0,0 +1,28 @@ +from .__init__ import * + + +def harmonicMeanFunc(maxValue=100, maxNum=4): + + a=random.randint(1,maxValue) + b=random.randint(1,maxValue) + c=random.randint(1,maxValue) + d=random.randint(1,maxValue) + num=random.randint(2,4) + if num==2: + sum=(1/a)+(1/b) + elif num==3: + sum=(1/a)+(1/b)+(1/c) + elif num==4: + sum=(1/a)+(1/b)+(1/c)+(1/d) + + ans=num/sum + if num==2: + problem=f"Harmonic mean of {num} numbers {a} and {b} = " + solution = f" {num}/((1/{a}) + (1/{b})) = {ans}" + elif num==3: + problem=f"Harmonic mean of {num} numbers {a} , {b} and {c} = " + solution = f" {num}/((1/{a}) + (1/{b}) + (1/{c})) = {ans}" + elif num==4: + problem=f"Harmonic mean of {num} numbers {a} , {b} , {c} , {d} = " + solution = f" {num}/((1/{a}) + (1/{b}) + (1/{c}) + (1/{d})) = {ans}" + return problem,solution diff --git a/mathgenerator/funcs/hcfFunc.py b/mathgenerator/funcs/hcfFunc.py new file mode 100644 index 0000000..40be783 --- /dev/null +++ b/mathgenerator/funcs/hcfFunc.py @@ -0,0 +1,11 @@ +from .__init__ import * + +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 diff --git a/mathgenerator/funcs/intersectionOfTwoLinesFunc.py b/mathgenerator/funcs/intersectionOfTwoLinesFunc.py new file mode 100644 index 0000000..96f681d --- /dev/null +++ b/mathgenerator/funcs/intersectionOfTwoLinesFunc.py @@ -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 diff --git a/mathgenerator/funcs/isTriangleValidFunc.py b/mathgenerator/funcs/isTriangleValidFunc.py new file mode 100644 index 0000000..a80a05d --- /dev/null +++ b/mathgenerator/funcs/isTriangleValidFunc.py @@ -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 diff --git a/mathgenerator/funcs/lcmFunc.py b/mathgenerator/funcs/lcmFunc.py new file mode 100644 index 0000000..af2ee41 --- /dev/null +++ b/mathgenerator/funcs/lcmFunc.py @@ -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 diff --git a/mathgenerator/funcs/linearEquationsFunc.py b/mathgenerator/funcs/linearEquationsFunc.py new file mode 100644 index 0000000..4aa1fba --- /dev/null +++ b/mathgenerator/funcs/linearEquationsFunc.py @@ -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 diff --git a/mathgenerator/funcs/logFunc.py b/mathgenerator/funcs/logFunc.py new file mode 100644 index 0000000..8d16214 --- /dev/null +++ b/mathgenerator/funcs/logFunc.py @@ -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 diff --git a/mathgenerator/funcs/matrixInversion.py b/mathgenerator/funcs/matrixInversion.py new file mode 100644 index 0000000..822cb83 --- /dev/null +++ b/mathgenerator/funcs/matrixInversion.py @@ -0,0 +1,69 @@ +from .__init__ import * +import sympy + +def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerElementsInInvertedMatrix=False): + if OnlyIntegerElementsInInvertedMatrix is True: + isItOk = False + Mat = list() + while (isItOk is False): + Mat = list() + for i in range(0, SquareMatrixDimension): + z = list() + for j in range(0, SquareMatrixDimension): + z.append(0) + z[i] = 1 + Mat.append(z) + MaxAllowedMatrixElement = math.ceil( + pow(MaxMatrixElement, 1 / (SquareMatrixDimension))) + randomlist = random.sample( + range(0, MaxAllowedMatrixElement + 1), SquareMatrixDimension) + + for i in range(0, SquareMatrixDimension): + if i == SquareMatrixDimension - 1: + Mat[0] = [j + (k * randomlist[i]) + for j, k in zip(Mat[0], Mat[i])] + else: + Mat[i + 1] = [j + (k * randomlist[i]) + for j, k in zip(Mat[i + 1], Mat[i])] + + for i in range(1, SquareMatrixDimension - 1): + Mat[i] = [sum(i) + for i in zip(Mat[SquareMatrixDimension - 1], Mat[i])] + + isItOk = True + for i in Mat: + for j in i: + if j > MaxMatrixElement: + isItOk = False + break + if isItOk is False: + break + + random.shuffle(Mat) + Mat = sympy.Matrix(Mat) + Mat = sympy.Matrix.transpose(Mat) + Mat = Mat.tolist() + random.shuffle(Mat) + Mat = sympy.Matrix(Mat) + Mat = sympy.Matrix.transpose(Mat) + + else: + randomlist = list(sympy.primerange(0, MaxMatrixElement + 1)) + plist = random.sample(randomlist, SquareMatrixDimension) + randomlist = random.sample( + range(0, MaxMatrixElement + 1), SquareMatrixDimension * SquareMatrixDimension) + randomlist = list(set(randomlist) - set(plist)) + n_list = random.sample( + randomlist, SquareMatrixDimension * (SquareMatrixDimension - 1)) + Mat = list() + for i in range(0, SquareMatrixDimension): + z = list() + z.append(plist[i]) + for j in range(0, SquareMatrixDimension - 1): + z.append(n_list[(i * SquareMatrixDimension) + j - i]) + random.shuffle(z) + Mat.append(z) + Mat = sympy.Matrix(Mat) + problem = 'Inverse of Matrix ' + str(Mat) + ' is:' + solution = str(sympy.Matrix.inv(Mat)) + return problem, solution diff --git a/mathgenerator/funcs/matrixMultiplicationFunc.py b/mathgenerator/funcs/matrixMultiplicationFunc.py new file mode 100644 index 0000000..eeaa265 --- /dev/null +++ b/mathgenerator/funcs/matrixMultiplicationFunc.py @@ -0,0 +1,51 @@ +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 += ", "if j < n-1 else "" + string += "]\n [" if i < m-1 else "" + string += "]]" + + return string \ No newline at end of file diff --git a/mathgenerator/funcs/moduloFunc.py b/mathgenerator/funcs/moduloFunc.py new file mode 100644 index 0000000..71f1421 --- /dev/null +++ b/mathgenerator/funcs/moduloFunc.py @@ -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 if b != 0 else 0 + + problem = str(a) + "%" + str(b) + "=" + solution = str(c) + return problem, solution diff --git a/mathgenerator/funcs/multiplicationFunc.py b/mathgenerator/funcs/multiplicationFunc.py new file mode 100644 index 0000000..00ebb26 --- /dev/null +++ b/mathgenerator/funcs/multiplicationFunc.py @@ -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 diff --git a/mathgenerator/funcs/multiplyComplexNumbersFunc.py b/mathgenerator/funcs/multiplyComplexNumbersFunc.py new file mode 100644 index 0000000..f959d4d --- /dev/null +++ b/mathgenerator/funcs/multiplyComplexNumbersFunc.py @@ -0,0 +1,9 @@ +from .__init__ import * + + +def multiplyComplexNumbersFunc(minRealImaginaryNum = -20, maxRealImaginaryNum = 20): + num1 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum)) + num2 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum)) + problem = f"{num1} * {num2} = " + solution = num1 * num2 + return problem, solution diff --git a/mathgenerator/funcs/multiplyFractionsFunc.py b/mathgenerator/funcs/multiplyFractionsFunc.py new file mode 100644 index 0000000..14614d6 --- /dev/null +++ b/mathgenerator/funcs/multiplyFractionsFunc.py @@ -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 diff --git a/mathgenerator/funcs/multiplyIntToMatrix22.py b/mathgenerator/funcs/multiplyIntToMatrix22.py new file mode 100644 index 0000000..120c202 --- /dev/null +++ b/mathgenerator/funcs/multiplyIntToMatrix22.py @@ -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 diff --git a/mathgenerator/funcs/nthFibonacciNumberFunc.py b/mathgenerator/funcs/nthFibonacciNumberFunc.py new file mode 100644 index 0000000..023a007 --- /dev/null +++ b/mathgenerator/funcs/nthFibonacciNumberFunc.py @@ -0,0 +1,10 @@ +from .__init__ import * + + +def nthFibonacciNumberFunc(maxN = 100): + golden_ratio = (1 + math.sqrt(5))/2 + n = random.randint(1,maxN) + problem = f"What is the {n}th Fibonacci number?" + ans = round((math.pow(golden_ratio,n) - math.pow(-golden_ratio,-n))/(math.sqrt(5))) + solution = f"{ans}" + return problem, solution diff --git a/mathgenerator/funcs/permutationFunc.py b/mathgenerator/funcs/permutationFunc.py new file mode 100644 index 0000000..ffae44e --- /dev/null +++ b/mathgenerator/funcs/permutationFunc.py @@ -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 diff --git a/mathgenerator/funcs/powerRuleDifferentiationFunc.py b/mathgenerator/funcs/powerRuleDifferentiationFunc.py new file mode 100644 index 0000000..9dac2db --- /dev/null +++ b/mathgenerator/funcs/powerRuleDifferentiationFunc.py @@ -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 diff --git a/mathgenerator/funcs/powerRuleIntegrationFunc.py b/mathgenerator/funcs/powerRuleIntegrationFunc.py new file mode 100644 index 0000000..112f5b5 --- /dev/null +++ b/mathgenerator/funcs/powerRuleIntegrationFunc.py @@ -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 diff --git a/mathgenerator/funcs/primeFactorsFunc.py b/mathgenerator/funcs/primeFactorsFunc.py new file mode 100644 index 0000000..5e645d2 --- /dev/null +++ b/mathgenerator/funcs/primeFactorsFunc.py @@ -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 diff --git a/mathgenerator/funcs/profitLossPercentFunc.py b/mathgenerator/funcs/profitLossPercentFunc.py new file mode 100644 index 0000000..05a3653 --- /dev/null +++ b/mathgenerator/funcs/profitLossPercentFunc.py @@ -0,0 +1,16 @@ +from .__init__ import * + + +def profitLossPercentFunc(maxCP = 1000, maxSP = 1000): + cP = random.randint(1, maxCP) + sP = random.randint(1, maxSP) + diff = abs(sP-cP) + if (sP-cP >= 0): + profitOrLoss = "Profit" + else: + profitOrLoss = "Loss" + percent = diff/cP * 100 + problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: " + solution = percent + + return problem, solution \ No newline at end of file diff --git a/mathgenerator/funcs/pythagoreanTheoremFunc.py b/mathgenerator/funcs/pythagoreanTheoremFunc.py new file mode 100644 index 0000000..2776592 --- /dev/null +++ b/mathgenerator/funcs/pythagoreanTheoremFunc.py @@ -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 diff --git a/mathgenerator/funcs/quadraticEquation.py b/mathgenerator/funcs/quadraticEquation.py new file mode 100644 index 0000000..98f895e --- /dev/null +++ b/mathgenerator/funcs/quadraticEquation.py @@ -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 diff --git a/mathgenerator/funcs/regularPolygonAngleFunc.py b/mathgenerator/funcs/regularPolygonAngleFunc.py new file mode 100644 index 0000000..569d2d5 --- /dev/null +++ b/mathgenerator/funcs/regularPolygonAngleFunc.py @@ -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 diff --git a/mathgenerator/funcs/simpleInterestFunc.py b/mathgenerator/funcs/simpleInterestFunc.py new file mode 100644 index 0000000..de997d0 --- /dev/null +++ b/mathgenerator/funcs/simpleInterestFunc.py @@ -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 diff --git a/mathgenerator/funcs/squareFunc.py b/mathgenerator/funcs/squareFunc.py new file mode 100644 index 0000000..6384197 --- /dev/null +++ b/mathgenerator/funcs/squareFunc.py @@ -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 diff --git a/mathgenerator/funcs/squareRootFunc.py b/mathgenerator/funcs/squareRootFunc.py new file mode 100644 index 0000000..87152c8 --- /dev/null +++ b/mathgenerator/funcs/squareRootFunc.py @@ -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 diff --git a/mathgenerator/funcs/subtractionFunc.py b/mathgenerator/funcs/subtractionFunc.py new file mode 100644 index 0000000..91c8e74 --- /dev/null +++ b/mathgenerator/funcs/subtractionFunc.py @@ -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 diff --git a/mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py b/mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py new file mode 100644 index 0000000..6181e96 --- /dev/null +++ b/mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py @@ -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 diff --git a/mathgenerator/funcs/surdsComparisonFunc.py b/mathgenerator/funcs/surdsComparisonFunc.py new file mode 100644 index 0000000..161aac3 --- /dev/null +++ b/mathgenerator/funcs/surdsComparisonFunc.py @@ -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 diff --git a/mathgenerator/funcs/surfaceAreaCone.py b/mathgenerator/funcs/surfaceAreaCone.py new file mode 100644 index 0000000..8132e7d --- /dev/null +++ b/mathgenerator/funcs/surfaceAreaCone.py @@ -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 diff --git a/mathgenerator/funcs/surfaceAreaCube.py b/mathgenerator/funcs/surfaceAreaCube.py new file mode 100644 index 0000000..9f9d07f --- /dev/null +++ b/mathgenerator/funcs/surfaceAreaCube.py @@ -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 diff --git a/mathgenerator/funcs/surfaceAreaCuboid.py b/mathgenerator/funcs/surfaceAreaCuboid.py new file mode 100644 index 0000000..3630abc --- /dev/null +++ b/mathgenerator/funcs/surfaceAreaCuboid.py @@ -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 diff --git a/mathgenerator/funcs/surfaceAreaCylinder.py b/mathgenerator/funcs/surfaceAreaCylinder.py new file mode 100644 index 0000000..92035ba --- /dev/null +++ b/mathgenerator/funcs/surfaceAreaCylinder.py @@ -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 diff --git a/mathgenerator/funcs/surfaceAreaSphere.py b/mathgenerator/funcs/surfaceAreaSphere.py new file mode 100644 index 0000000..84ce3e1 --- /dev/null +++ b/mathgenerator/funcs/surfaceAreaSphere.py @@ -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 diff --git a/mathgenerator/funcs/systemOfEquationsFunc.py b/mathgenerator/funcs/systemOfEquationsFunc.py new file mode 100644 index 0000000..fd28eaf --- /dev/null +++ b/mathgenerator/funcs/systemOfEquationsFunc.py @@ -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 diff --git a/mathgenerator/funcs/thirdAngleOfTriangleFunc.py b/mathgenerator/funcs/thirdAngleOfTriangleFunc.py new file mode 100644 index 0000000..688b209 --- /dev/null +++ b/mathgenerator/funcs/thirdAngleOfTriangleFunc.py @@ -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 diff --git a/mathgenerator/funcs/vectorCrossFunc.py b/mathgenerator/funcs/vectorCrossFunc.py new file mode 100644 index 0000000..07ff0b2 --- /dev/null +++ b/mathgenerator/funcs/vectorCrossFunc.py @@ -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 diff --git a/mathgenerator/funcs/vectorDotFunc.py b/mathgenerator/funcs/vectorDotFunc.py new file mode 100644 index 0000000..0364c65 --- /dev/null +++ b/mathgenerator/funcs/vectorDotFunc.py @@ -0,0 +1,11 @@ +from .__init__ import * + + +def vectorDotFunc(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[0] * b[0] + a[1] * b[1] + a[2] * b[2] + + problem = str(a) + " . " + str(b) + " = " + solution = str(c) + return problem, solution diff --git a/mathgenerator/funcs/volumeCone.py b/mathgenerator/funcs/volumeCone.py new file mode 100644 index 0000000..4cd5512 --- /dev/null +++ b/mathgenerator/funcs/volumeCone.py @@ -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 diff --git a/mathgenerator/funcs/volumeCube.py b/mathgenerator/funcs/volumeCube.py new file mode 100644 index 0000000..e487173 --- /dev/null +++ b/mathgenerator/funcs/volumeCube.py @@ -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 diff --git a/mathgenerator/funcs/volumeCuboid.py b/mathgenerator/funcs/volumeCuboid.py new file mode 100644 index 0000000..a435784 --- /dev/null +++ b/mathgenerator/funcs/volumeCuboid.py @@ -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 diff --git a/mathgenerator/funcs/volumeCylinder.py b/mathgenerator/funcs/volumeCylinder.py new file mode 100644 index 0000000..ecd78da --- /dev/null +++ b/mathgenerator/funcs/volumeCylinder.py @@ -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 diff --git a/mathgenerator/funcs/volumeSphereFunc.py b/mathgenerator/funcs/volumeSphereFunc.py new file mode 100644 index 0000000..618dbd3 --- /dev/null +++ b/mathgenerator/funcs/volumeSphereFunc.py @@ -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 From ed7cbc3e6983f496ec257a4e4f456bae55ab9e5a Mon Sep 17 00:00:00 2001 From: helplessThor <66440538+helplessThor@users.noreply.github.com> Date: Mon, 19 Oct 2020 19:39:34 +0530 Subject: [PATCH 3/4] Create compoundInterestFunc.py --- mathgenerator/funcs/compoundInterestFunc.py | 11 +++++++++++ 1 file changed, 11 insertions(+) create mode 100644 mathgenerator/funcs/compoundInterestFunc.py diff --git a/mathgenerator/funcs/compoundInterestFunc.py b/mathgenerator/funcs/compoundInterestFunc.py new file mode 100644 index 0000000..dec3e54 --- /dev/null +++ b/mathgenerator/funcs/compoundInterestFunc.py @@ -0,0 +1,11 @@ +from .__init__ import * + +def compoundInterestFunc(maxPrinciple = 10000, maxRate = 10, maxTime = 10, maxPeriod = ): + p = random.randint(100, maxPrinciple) + r = random.randint(1, maxRate) + t = random.randint(1, maxTime) + n = random.randint(1, maxPeriod) + A = p * ((1 + (r/(100*n))**(n*t))) + problem = "Compound Interest for a principle amount of " + str(p) + " dollars, " + str(r) + "% rate of interest and for a time period of " + str(t) + " compounded monthly is = " + solution = round(A, 2) + return problem, solution From 6d66bf53000da470fdd9a5af91784acb396dac97 Mon Sep 17 00:00:00 2001 From: helplessThor <66440538+helplessThor@users.noreply.github.com> Date: Mon, 19 Oct 2020 20:17:52 +0530 Subject: [PATCH 4/4] Update mathgen.py added generator class --- mathgenerator/mathgen.py | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/mathgenerator/mathgen.py b/mathgenerator/mathgen.py index 3bf1417..1009a28 100644 --- a/mathgenerator/mathgen.py +++ b/mathgenerator/mathgen.py @@ -108,4 +108,5 @@ angleBtwVectors=Generator("Angle between 2 vectors", 70, "Angle Between 2 vector absoluteDifference=Generator("Absolute difference between two numbers", 71, "Absolute difference betweeen two numbers a and b =", "|a-b|", absoluteDifferenceFunc) vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c", vectorDotFunc) binary2sComplement = Generator("Binary 2's Complement", 73, "2's complement of 11010110 =", "101010", binary2sComplementFunc) -invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is", "A^(-1)", matrixInversion) \ No newline at end of file +invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is", "A^(-1)", matrixInversion) +compoundInterest = Generator("Compound Interest", 75, "Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ", "A dollars", compoundInterestFunc)