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..efb1ce7 --- /dev/null +++ b/mathgenerator/funcs/__init__.py @@ -0,0 +1,73 @@ +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 * 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/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/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/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/matrixMultiplicationFunc.py b/mathgenerator/funcs/matrixMultiplicationFunc.py new file mode 100644 index 0000000..de69218 --- /dev/null +++ b/mathgenerator/funcs/matrixMultiplicationFunc.py @@ -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 \ No newline at end of file diff --git a/mathgenerator/funcs/moduloFunc.py b/mathgenerator/funcs/moduloFunc.py new file mode 100644 index 0000000..5f8d2af --- /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 + + 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..533c294 --- /dev/null +++ b/mathgenerator/funcs/profitLossPercentFunc.py @@ -0,0 +1,14 @@ +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 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/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 diff --git a/mathgenerator/mathgen.py b/mathgenerator/mathgen.py index f0d022d..0e813a6 100644 --- a/mathgenerator/mathgen.py +++ b/mathgenerator/mathgen.py @@ -1,6 +1,7 @@ import random import math import fractions +from .funcs import * genList = [] @@ -26,1043 +27,10 @@ def genById(id): generator = genList[id][2] return(generator()) - +# def getGenList(): return(genList) -# || Generator Functions - - -def additionFunc(maxSum=99, maxAddend=50): - a = random.randint(0, maxAddend) - # The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well - b = random.randint(0, min((maxSum - a), maxAddend)) - c = a + b - problem = str(a) + "+" + str(b) + "=" - solution = str(c) - 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) - # consider using a, b instead of a_string, b_string if the problem doesn't look right - problem = f"Multiply \n{a_string}\n and \n\n{b_string}" - solution = matrixMultiplicationFuncHelper(res) - return problem, solution - - -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(total=360): - def rand_anglesquad(): - a=180 - b=0 - c=0 - d=0 - while(c==0 or d==0): - a=random.randint(1, total-20) - b=random.randint(1, total-a-10) - c=random.randint(1, total-a-b) - d=total-a-b-c - return a, b, c, d - a, b, c, d=rand_anglesquad() - problem="Fourth angle of a quadrilateral with three angles {}, {}, {} (in degrees)".format(a, b, c) - solution=d - 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): - fibList = [] - for i in range(n): - if i < 2: - fibList.append(i) - else: - val = fibList[i - 1] + fibList[i - 2] - fibList.append(val) - return fibList - fibList = createFibList(n) - problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?" - solution = fibList - return problem, solution - - -# Handles degrees in quadrant one -def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90], functions=["sin", "cos", "tan"]): - angle = random.choice(angles) - function = random.choice(functions) - - 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 - 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 - - -def volumeSphereFunc(maxRadius=100): - r = random.randint(1, maxRadius) - problem = f"Volume of sphere with radius {r} m = " - ans = (4 * math.pi / 3) * r * r * r - solution = f"{ans} m^3" - return problem,solution - -def nthFibonacciNumber(maxN = 100): - golden_ratio = (1 + math.sqrt(5))/2 - n = random.randint(1,maxN) - problem = f"What is the {n}th Fibonacci number?" - ans = round((math.pow(golden_ratio,n) - math.pow(-golden_ratio,-n))/(math.sqrt(5))) - solution = f"{ans}" - return problem, solution - -def profitLossPercentFunc(maxCP = 1000, maxSP = 1000): - cP = random.randint(1, maxCP) - 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 - -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 - -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 - -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 - - -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 - -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 - -# || Class Instances - - # Format is: # = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>) addition = Generator("Addition", 0, "a+b=", "c", additionFunc) @@ -1181,11 +149,10 @@ surfaceAreaSphereGen = Generator( "Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere) volumeSphere = Generator("Volume of Sphere", 60, "Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc) -nthFibonacciNumberGen = Generator("nth Fibonacci number", 61, "What is the nth Fibonacci number", "Fn", nthFibonacciNumber) - +nthFibonacciNumberGen = Generator("nth Fibonacci number", 61, "What is the nth Fibonacci number", "Fn", nthFibonacciNumberFunc) profitLossPercent = Generator("Profit or Loss Percent", 62, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc) -binaryToHex = Generator("Binary to Hexidecimal", 63, "Hexidecimal of a=", "b", BinaryToHexFunc) -ComplexNumMultiply = Generator("Multiplication of 2 complex numbers", 64, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc) -geometricprogression=Generator("Geometric Progression", 65, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", GeomProgrFunc) +binaryToHex = Generator("Binary to Hexidecimal", 63, "Hexidecimal of a=", "b", binaryToHexFunc) +complexNumMultiply = Generator("Multiplication of 2 complex numbers", 64, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc) +geometricprogression=Generator("Geometric Progression", 65, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", geomProgrFunc) geometricMean=Generator("Geometric Mean of N Numbers",66,"Geometric mean of n numbers A1 , A2 , ... , An = ","(A1*A2*...An)^(1/n) = ans",geometricMeanFunc) harmonicMean=Generator("Harmonic Mean of N Numbers",67,"Harmonic mean of n numbers A1 , A2 , ... , An = "," n/((1/A1) + (1/A2) + ... + (1/An)) = ans",harmonicMeanFunc) diff --git a/test.py b/test.py new file mode 100644 index 0000000..288c5b3 --- /dev/null +++ b/test.py @@ -0,0 +1 @@ +from mathgenerator import mathgen