diff --git a/Makefile b/Makefile index bd04e35..9414a0b 100644 --- a/Makefile +++ b/Makefile @@ -1,7 +1,11 @@ -FLAKE_FLAGS = --ignore=E501,F401,F403,F405 +IGNORE_ERRORS = E501,F401,F403,F405 +PKG = mathgenerator + +format: + python -m autopep8 --ignore=$(IGNORE_ERRORS) -i $(PKG)/* lint: - python -m flake8 $(FLAKE_FLAGS) + python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG) test: python -m pytest --verbose -s tests diff --git a/README.md b/README.md index a3c7db3..6777b5c 100644 --- a/README.md +++ b/README.md @@ -30,84 +30,66 @@ problem, solution = mathgen.genById(0) | Id | Skill | Example problem | Example Solution | Function Name | |------|-----------------------------------|--------------------|-----------------------|--------------------------| - -| 0 | Addition | 5+49= | 54 | addition | -| 1 | Subtraction | 63-53= | 10 | subtraction | -| 2 | Multiplication | 21*2= | 42 | multiplication | -| 3 | Division | 87/60= | 1.45 | division | -| 4 | Binary Complement 1s | 11011111= | 00100000 | binaryComplement1s | -| 5 | Modulo Division | 10%10= | 0 | moduloDivision | -| 6 | Square Root | sqrt(16)= | 4 | squareRoot | -| 7 | Power Rule Differentiation | 9x^6 + 8x^6 + 5x^9 + 1x^6 + 10x^1 | 54x^5 + 48x^5 + 45x^8 + 6x^5 + 10x^0 | powerRuleDifferentiation | -| 8 | Square | 6^2= | 36 | square | -| 9 | LCM (Least Common Multiple) | LCM of 9 and 6 = | 18 | lcm | -| 10 | GCD (Greatest Common Denominator) | GCD of 3 and 15 = | 3 | gcd | -| 11 | Basic Algebra | 2x + 2 = 9 | 7/2 | basicAlgebra | -| 12 | Logarithm | log2(4) | 2 | log | -| 13 | Easy Division | 180/15 = | 12 | intDivision | -| 14 | Decimal to Binary | Binary of 53= | 110101 | decimalToBinary | -| 15 | Binary to Decimal | 1000110111 | 567 | binaryToDecimal | -| 16 | Fraction Division | (10/4)/(1/10) | 25 | fractionDivision | -| 17 | Integer Multiplication with 2x2 Matrix | 1 * [[0, 4], [6, 2]] = | [[0,4],[6,2]] | intMatrix22Multiplication | -| 18 | Area of Triangle | Area of triangle with side lengths: 8 3 19 = | (4.3470649019239876e-15+70.9929573971954j) | areaOfTriangle | -| 19 | Triangle exists check | Does triangle with sides 8, 12 and 39 exist? | No | doesTriangleExist | -| 20 | Midpoint of the two point | (-17,-16),(-6,9)= | (-11.5,-3.5) | midPointOfTwoPoint | -| 21 | Factoring Quadratic | x^2-15x+56 | (x-8)(x-7) | factoring | -| 22 | Third Angle of Triangle | Third angle of triangle with angles 17 and 81 = | 82 | thirdAngleOfTriangle | -| 23 | Solve a System of Equations in R^2 | -7x - 5y = 22, 5x - 4y = 7 | x = -1, y = -3 | systemOfEquations | -| 24 | Distance between 2 points | Find the distance between (-4, -13) and (15, 10) | sqrt(890) | distance2Point | -| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 11 and 2 = | 11.18 | pythagoreanTheorem | -| 26 | Linear Equations | -9x + 15y = 171 --9x + 9y = 135 | x = -9, y = 6 | linearEquations | -| 27 | Prime Factorisation | Find prime factors of 61 | [61] | primeFactors | -| 28 | Fraction Multiplication | (8/7)*(9/10) | 36/35 | fractionMultiplication | -| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angleRegularPolygon | -| 30 | Combinations of Objects | Number of combinations from 13 objects picked 8 at a time | 1287 | combinations | -| 31 | Factorial | 6! = | 720 | factorial | -| 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surfaceAreaCubeGen | -| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 3m, 18m, 1m is | 150 m^2 | surfaceAreaCuboidGen | -| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 20m and radius = 15m is | 3298 m^2 | surfaceAreaCylinderGen | -| 35 | Volum of Cube | Volume of cube with side = 7m is | 343 m^3 | volumeCubeGen | -| 36 | Volume of Cuboid | Volume of cuboid with sides = 16m, 5m, 11m is | 880 m^3 | volumeCuboidGen | -| 37 | Volume of cylinder | Volume of cylinder with height = 28m and radius = 12m is | 12666 m^3 | volumeCylinderGen | -| 38 | Surface Area of cone | Surface area of cone with height = 29m and radius = 1m is | 94 m^2 | surfaceAreaConeGen | -| 39 | Volume of cone | Volume of cone with height = 2m and radius = 15m is | 471 m^3 | volumeConeGen | -| 40 | Common Factors | Common Factors of 52 and 53 = | [1] | commonFactors | -| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -8/4x + 3 and y = -6x - 4 | (-7/4, 13/2) | intersectionOfTwoLines | -| 42 | Permutations | Number of Permutations from 13 objects picked 1 at a time = | 13 | permutations | -| 43 | Cross Product of 2 Vectors | [-6, -20, -15] X [-17, 14, 18] = | [-150, 363, -424] | vectorCross | -| 44 | Compare Fractions | Which symbol represents the comparison between 7/4 and 5/6? | > | compareFractions | -| 45 | Simple Interest | Simple interest for a principle amount of 4813 dollars, 2% rate of interest and for a time period of 4 years is = | 385.04 | simpleInterest | -| 46 | Multiplication of two matrices | Multiply - -11 -69 54 67 - 54 -24 52 35 - 9 -76 82 65 - 37 -40 87 -85 - 42 45 74 75 - - and - - 62 -96 -68 97 -88 71 69 - -38 48 -31 8 53 18 100 - 57 -41 54 81 -74 -80 47 - -63 -10 86 -6 77 31 -12 | 797 -5140 11565 2353 -1526 -4266 -5925 - 5019 -8818 2890 9048 -7177 327 3350 - 4025 -8524 11762 6517 -5883 -5274 -3905 - 14128 -8189 -3888 10826 -18359 -7688 3662 - 387 -5656 6195 9978 -1012 197 9976 | matrixMultiplication | -| 47 | Cube Root | cuberoot of 566 upto 2 decimal places is: | 8.27 | CubeRoot | -| 48 | Power Rule Integration | 6x^3 + 6x^4 + 5x^2 + 10x^9 | (6/3)x^4 + (6/4)x^5 + (5/2)x^3 + (10/9)x^10 + c | powerRuleIntegration | -| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 6 , 199, 42 = | 113 | fourthAngleOfQuadrilateral | -| 50 | Quadratic Equation | Zeros of the Quadratic Equation 63x^2+118x+19=0 | [-0.18, -1.7] | quadraticEquationSolve | -| 51 | HCF (Highest Common Factor) | HCF of 20 and 14 = | 2 | hcf | -| 52 | Probability of a certain sum appearing on faces of dice | If 3 dice are rolled at the same time, the probability of getting a sum of 5 = | 6/216 | diceSumProbability | -| 53 | Exponentiation | 1^3 = | 1 | exponentiation | -| 54 | Confidence interval For sample S | The confidence interval for sample [289, 284, 269, 211, 272, 298, 290, 220, 206, 224, 230, 222, 227, 209, 262, 255, 282, 253, 274, 265, 258, 248, 277, 279, 223, 221, 219, 286, 259, 297, 234, 201, 232, 203, 294, 252, 207, 278, 202] with 80% confidence is | (255.4031906501125, 242.64809140116955) | confidenceInterval | -| 55 | Comparing surds | Fill in the blanks 50^(1/9) _ 61^(1/7) | < | surdsComparison | -| 56 | Fibonacci Series | The Fibonacci Series of the first 1 numbers is ? | [0] | fibonacciSeries | -| 57 | Trigonometric Values | What is sin(30)? | 1/2 | basicTrigonometry | -| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 8 sides = | 1080 | sumOfAnglesOfPolygon | -| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[11, 17, 17, 20, 25, 38, 45, 19, 38, 31, 23, 16, 42, 28, 16] | The Mean is 25.733333333333334 , Standard Deviation is 107.66222222222224, Variance is 10.376040777783318 | dataSummary | +| 0 | Addition | 42+2= | 44 | addition | +| 1 | Subtraction | 32-26= | 6 | subtraction | +| 2 | Multiplication | 77*1= | 77 | multiplication | +| 3 | Division | 66/9= | 7.333333333333333 | division | +| 4 | Binary Complement 1s | 1010000 | 0101111 | binaryComplement1s | +| 5 | Modulo Division | 61%35= | 26 | moduloDivision | +| 6 | Square Root | sqrt(1)= | 1 | squareRoot | +| 7 | Power Rule Differentiation | 5x^5 | 25x^4 | powerRuleDifferentiation | +| 8 | Square | 20^2= | 400 | square | +| 9 | LCM (Least Common Multiple) | LCM of 19 and 5 = | 95 | lcm | +| 10 | GCD (Greatest Common Denominator) | GCD of 10 and 11 = | 1 | gcd | +| 11 | Basic Algebra | 3x + 7 = 8 | 1/3 | basicAlgebra | +| 12 | Logarithm | log2(128) | 7 | log | +| 13 | Easy Division | 306/18 = | 17 | intDivision | +| 14 | Decimal to Binary | Binary of 28= | 11100 | decimalToBinary | +| 15 | Binary to Decimal | 10001101 | 141 | binaryToDecimal | +| 16 | Fraction Division | (4/1)/(6/3) | 2 | fractionDivision | +| 17 | Integer Multiplication with 2x2 Matrix | 5 * [[10, 3], [0, 1]] = | [[50,15],[0,5]] | intMatrix22Multiplication | +| 18 | Area of Triangle | Area of triangle with side lengths: 13 2 14 = | 11.659223816361019 | areaOfTriangle | +| 19 | Triangle exists check | Does triangle with sides 3, 4 and 25 exist? | No | doesTriangleExist | +| 20 | Midpoint of the two point | (4,-11),(17,-5)= | (10.5,-8.0) | midPointOfTwoPoint | +| 21 | Factoring Quadratic | x^2-12x+35 | (x-7)(x-5) | factoring | +| 22 | Third Angle of Triangle | Third angle of triangle with angles 20 and 62 = | 98 | thirdAngleOfTriangle | +| 23 | Solve a System of Equations in R^2 | 5x - 7y = -84, 4x + 5y = 7 | x = -7, y = 7 | systemOfEquations | +| 24 | Distance between 2 points | Find the distance between (5, -18) and (1, 19) | sqrt(1385) | distance2Point | +| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 15 and 5 = | 15.81 | pythagoreanTheorem | +| 26 | Linear Equations | -6x + -17y = -220 +-13x + -19y = -120 | x = -20, y = 20 | linearEquations | +| 27 | Prime Factorisation | Find prime factors of 62 | [2, 31] | primeFactors | +| 28 | Fraction Multiplication | (8/4)*(1/2) | 1 | fractionMultiplication | +| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angleRegularPolygon | +| 30 | Combinations of Objects | Number of combinations from 12 objects picked 1 at a time | 12 | combinations | +| 31 | Factorial | 0! = | 1 | factorial | +| 32 | Surface Area of Cube | Surface area of cube with side = 8m is | 384 m^2 | surfaceAreaCubeGen | +| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 17m, 1m is | 682 m^2 | surfaceAreaCuboidGen | +| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 31m and radius = 1m is | 201 m^2 | surfaceAreaCylinderGen | +| 35 | Volum of Cube | Volume of cube with side = 9m is | 729 m^3 | volumeCubeGen | +| 36 | Volume of Cuboid | Volume of cuboid with sides = 20m, 1m, 10m is | 200 m^3 | volumeCuboidGen | +| 37 | Volume of cylinder | Volume of cylinder with height = 7m and radius = 7m is | 1077 m^3 | volumeCylinderGen | +| 38 | Surface Area of cone | Surface area of cone with height = 47m and radius = 13m is | 2522 m^2 | surfaceAreaConeGen | +| 39 | Volume of cone | Volume of cone with height = 4m and radius = 4m is | 67 m^3 | volumeConeGen | +| 40 | Common Factors | Common Factors of 20 and 90 = | [1, 2, 5, 10] | commonFactors | +| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -3/6x + 1 and y = 0/2x + 6 | (-10, 6) | intersectionOfTwoLines | +| 42 | Permutations | Number of Permutations from 11 objects picked 2 at a time = | 110 | permutations | +| 43 | Cross Product of 2 Vectors | [-19, -3, 2] X [-15, -12, 7] = | [3, 103, 183] | vectorCross | +| 44 | Compare Fractions | Which symbol represents the comparison between 8/6 and 3/1? | < | compareFractions | +| 45 | Simple Interest | Simple interest for a principle amount of 9862 dollars, 4% rate of interest and for a time period of 1 years is = | 394.48 | simpleInterest | +| 46 | Multiplication of two matrices | Multiply
-50367-26-263
88-3760-1961-56
48-569-87-64-92
-84-50-79-1986-13
02812-1473-49
94-90226-3819
2-1179-7798-77
-877072-3264-99
and
3432-6-3246-2378-81-18
-172449-62-507738-98-64
-23-7843 5-83-5 4-92-16
46-47-9252-25-374451-7
2026703796-73498442
-72-15-80-2458-47-4145-69
|
-8245-1057-423-3535-5692034-63291219-5765
6619 5671073723914001-629110147-73876383
1472-16113318-5565-1257410381 638-236992621
159355983465789913170-6487-48572464210618
359230271220614732120-4126082-6354561
3748-1803-1146020725462-8183242311 947
2400 960229502483 952-19744625-55129372
1132-2067223921884-1227681961949-71485677
| matrixMultiplication | +| 47 | Cube Root | cuberoot of 771 upto 2 decimal places is: | 9.17 | CubeRoot | +| 48 | Power Rule Integration | 1x^3 + 8x^8 + 10x^10 | (1/3)x^4 + (8/8)x^9 + (10/10)x^11 + c | powerRuleIntegration | +| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 84, 154 = | 70 | fourthAngleOfQuadrilateral | +| 50 | Quadratic Equation | Zeros of the Quadratic Equation 51x^2+152x+80=0 | [-0.68, -2.3] | quadraticEquationSolve | +| 51 | HCF (Highest Common Factor) | HCF of 11 and 7 = | 1 | hcf | +| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 11 = | 2/36 | diceSumProbability | +| 53 | Exponentiation | 9^9 = | 387420489 | exponentiation | +| 54 | Confidence interval For sample S | The confidence interval for sample [291, 254, 274, 207, 253, 289, 268, 280, 225, 240, 278, 270, 247, 252, 211, 212, 295, 241, 290, 206, 222, 263, 264, 228, 229, 256, 209, 292] with 99% confidence is | (265.560249263099, 237.72546502261523) | confidenceInterval | +| 55 | Comparing surds | Fill in the blanks 16^(1/7) _ 67^(1/6) | < | surdsComparison | +| 56 | Fibonacci Series | The Fibonacci Series of the first 11 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55] | fibonacciSeries | +| 57 | Trigonometric Values | What is cos(60)? | 1/2 | basicTrigonometry | +| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sumOfAnglesOfPolygon | +| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[38, 29, 43, 25, 7, 10, 13, 14, 43, 44, 30, 42, 48, 48, 42] | The Mean is 31.733333333333334 , Standard Deviation is 199.26222222222222, Variance is 14.116027140177303 | dataSummary | | 59 | Surface Area of Sphere | Surface area of Sphere with radius = 13m is | 2123.7166338267 m^2 | surfaceAreaSphereGen | -| 60 | Volume of Sphere | Volume of sphere with radius 100 m = | 4188790.2047863905 m^3 | volumeSphere | -| 61 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 6 and 66 = | 2/((1/6) + (1/66)) = 11.0 | harmonicMean | +| 60 | Volume of Sphere | Volume of sphere with radius 84 m = | 2482712.7095377133 m^3 | volumeSphere | \ No newline at end of file diff --git a/dev-requirements.txt b/dev-requirements.txt index 6e46af4..c29cf4e 100644 --- a/dev-requirements.txt +++ b/dev-requirements.txt @@ -1,3 +1,4 @@ pytest hypothesis -flake8 \ No newline at end of file +flake8 +autopep8 \ No newline at end of file diff --git a/makeReadme.py b/makeReadme.py index 7ca8f2c..64f7989 100644 --- a/makeReadme.py +++ b/makeReadme.py @@ -1,10 +1,10 @@ -#To use, paste at bottom of mathgen.py code, change line variable and remove all table rows in README.md except for the top 2 and run mathgen.py +# To use, paste at bottom of mathgen.py code, change line variable and remove all table rows in README.md except for the top 2 and run mathgen.py wList = getGenList() allRows = [] -f=open('mathgen.py') -lines=f.readlines() -line = 720 #This has to be changed depending on which line the first generator appears on +f = open('mathgen.py') +lines = f.readlines() +line = 720 # This has to be changed depending on which line the first generator appears on for item in wList: myGen = item[2] prob, sol = myGen() @@ -13,10 +13,10 @@ for item in wList: instName = lines[line] def_name = instName[:instName.find('=')].strip() row = [myGen.id, myGen.title, prob, sol, def_name] - line+=1 + line += 1 allRows.append(row) -g=open('../README.md', "a") +g = open('../README.md', "a") for row in allRows: tableLine = "| " + str(row[0]) + " | " + str(row[1]) + " | " + str(row[2]) + " | " + str(row[3]) + " | " + str(row[4]) + " |\n" g.write(tableLine) diff --git a/mathgenerator/mathgen.py b/mathgenerator/mathgen.py index a164434..f0d022d 100644 --- a/mathgenerator/mathgen.py +++ b/mathgenerator/mathgen.py @@ -4,7 +4,6 @@ import fractions genList = [] - # || Generator class class Generator: def __init__(self, title, id, generalProb, generalSol, func): @@ -36,7 +35,8 @@ def getGenList(): def additionFunc(maxSum=99, maxAddend=50): a = random.randint(0, maxAddend) - b = random.randint(0, min((maxSum - a), maxAddend)) # The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well + # The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well + b = random.randint(0, min((maxSum - a), maxAddend)) c = a + b problem = str(a) + "+" + str(b) + "=" solution = str(c) @@ -78,7 +78,7 @@ def binaryComplement1sFunc(maxDigits=10): question += temp answer += "0" if temp == "1" else "1" - problem = question+"=" + problem = question + "=" solution = answer return problem, solution @@ -248,7 +248,8 @@ def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20): c = random.randint(1, maxC) s = (a + b + c) / 2 area = (s * (s - a) * (s - b) * (s - c)) ** 0.5 - problem = "Area of triangle with side lengths: " + str(a) + " " + str(b) + " " + str(c) + " = " + problem = "Area of triangle with side lengths: " + \ + str(a) + " " + str(b) + " " + str(c) + " = " solution = area return problem, solution @@ -259,7 +260,8 @@ def isTriangleValidFunc(maxSideLength=50): sideC = random.randint(1, maxSideLength) sideSums = [sideA + sideB, sideB + sideC, sideC + sideA] sides = [sideC, sideA, sideB] - exists = True & (sides[0] < sideSums[0]) & (sides[1] < sideSums[1]) & (sides[2] < sideSums[2]) + exists = True & (sides[0] < sideSums[0]) & ( + sides[1] < sideSums[1]) & (sides[2] < sideSums[2]) problem = f"Does triangle with sides {sideA}, {sideB} and {sideC} exist?" if exists: solution = "Yes" @@ -352,7 +354,8 @@ def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10): # No redundant 1s y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else '' # Don't include if 0, unless x is also 0 (probably never happens) - y_str = f'{y_coeff}y' if coeffs[1] != 0 else ('' if x_str != '' else '0') + y_str = f'{y_coeff}y' if coeffs[1] != 0 else ( + '' if x_str != '' else '0') return f'{x_str}{op}{y_str} = {coeffs[2]}' problem = f"{coeffToFuncString(new_c1)}, {coeffToFuncString(new_c2)}" @@ -372,7 +375,6 @@ def distanceTwoPointsFunc(maxValXY=20, minValXY=-20): 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) @@ -391,7 +393,8 @@ def linearEquationsFunc(n=2, varRange=20, coeffRange=20): soln = [random.randint(-varRange, varRange) for i in range(n)] problem = list() - solution = ", ".join(["{} = {}".format(vars[i], soln[i]) for i in range(n)]) + solution = ", ".join(["{} = {}".format(vars[i], soln[i]) + for i in range(n)]) for _ in range(n): coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)] res = sum([coeff[i] * soln[i] for i in range(n)]) @@ -469,7 +472,8 @@ def combinationsFunc(maxlength=20): b = random.randint(0, 9) solution = int(factorial(a) / (factorial(b) * factorial(a - b))) - problem = "Number of combinations from {} objects picked {} at a time ".format(a, b) + problem = "Number of combinations from {} objects picked {} at a time ".format( + a, b) return problem, solution @@ -615,8 +619,10 @@ def intersectionOfTwoLinesFunc( x = f"{x.numerator}/{x.denominator}" return x - m1 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator)) - m2 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator)) + m1 = (random.randint(minM, maxM), random.randint( + minDenominator, maxDenominator)) + m2 = (random.randint(minM, maxM), random.randint( + minDenominator, maxDenominator)) b1 = random.randint(minB, maxB) b2 = random.randint(minB, maxB) equation1 = generateEquationString(m1, b1) @@ -642,7 +648,8 @@ def permutationFunc(maxlength=20): a = random.randint(10, maxlength) b = random.randint(0, 9) solution = int(math.factorial(a) / (math.factorial(a - b))) - problem = "Number of Permutations from {} objects picked {} at a time = ".format(a, b) + problem = "Number of Permutations from {} objects picked {} at a time = ".format( + a, b) return problem, solution @@ -685,7 +692,8 @@ def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10): b = random.randint(1, maxRate) c = random.randint(1, maxTime) d = (a * b * c) / 100 - problem = "Simple interest for a principle amount of " + str(a) + " dollars, " + str(b) + "% rate of interest and for a time period of " + str(c) + " years is = " + problem = "Simple interest for a principle amount of " + str(a) + " dollars, " + str( + b) + "% rate of interest and for a time period of " + str(c) + " years is = " solution = round(d, 2) return problem, solution @@ -718,7 +726,8 @@ def matrixMultiplicationFunc(maxVal=100): for t in range(n): temp += a[r][t] * b[t][c] res[r].append(temp) - problem = f"Multiply \n{a_string}\n and \n\n{b_string}" # consider using a, b instead of a_string, b_string if the problem doesn't look right + # consider using a, b instead of a_string, b_string if the problem doesn't look right + problem = f"Multiply \n{a_string}\n and \n\n{b_string}" solution = matrixMultiplicationFuncHelper(res) return problem, solution @@ -754,34 +763,43 @@ def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5): coefficient = random.randint(1, maxCoef) exponent = random.randint(1, maxExp) problem += str(coefficient) + "x^" + str(exponent) - solution += "(" + str(coefficient) + "/" + str(exponent) + ")x^" + str(exponent + 1) + solution += "(" + str(coefficient) + "/" + \ + str(exponent) + ")x^" + str(exponent + 1) solution = solution + " + c" return problem, solution - -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 +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))) + b = random.randint(round(math.sqrt(4 * a * c)) + 1, + round(math.sqrt(4 * maxVal * maxVal))) problem = "Zeros of the Quadratic Equation {}x^2+{}x+{}=0".format(a, b, c) D = math.sqrt(b * b - 4 * a * c) - solution = str([round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)]) + solution = str([round((-b + D) / (2 * a), 2), + round((-b - D) / (2 * a), 2)]) return problem, solution + def hcfFunc(maxVal=20): a = random.randint(1, maxVal) b = random.randint(1, maxVal) @@ -792,61 +810,67 @@ def hcfFunc(maxVal=20): solution = str(x) return problem, solution + def DiceSumProbFunc(maxDice=3): - a = random.randint(1,maxDice) - b = random.randint(a,6*a) - count=0 - for i in [1,2,3,4,5,6]: - if a==1: - if i==b: - count=count+1 - elif a==2: - for j in [1,2,3,4,5,6]: - if i+j==b: - count=count+1 - elif a==3: - for j in [1,2,3,4,5,6]: - for k in [1,2,3,4,5,6]: - if i+j+k==b: - count=count+1 - problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(a,b) - solution="{}/{}".format(count, 6**a) + a = random.randint(1, maxDice) + b = random.randint(a, 6 * a) + count = 0 + for i in [1, 2, 3, 4, 5, 6]: + if a == 1: + if i == b: + count = count + 1 + elif a == 2: + for j in [1, 2, 3, 4, 5, 6]: + if i + j == b: + count = count + 1 + elif a == 3: + for j in [1, 2, 3, 4, 5, 6]: + for k in [1, 2, 3, 4, 5, 6]: + if i + j + k == b: + count = count + 1 + problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format( + a, b) + solution = "{}/{}".format(count, 6**a) return problem, solution -def exponentiationFunc(maxBase = 20,maxExpo = 10): + +def exponentiationFunc(maxBase=20, maxExpo=10): base = random.randint(1, maxBase) expo = random.randint(1, maxExpo) problem = f"{base}^{expo} =" solution = str(base ** expo) return problem, solution + def confidenceIntervalFunc(): - n=random.randint(20,40) - j=random.randint(0,3) - lst=random.sample(range(200,300),n) - lst_per=[80 ,90, 95, 99] + n = random.randint(20, 40) + j = random.randint(0, 3) + lst = random.sample(range(200, 300), n) + lst_per = [80, 90, 95, 99] lst_t = [1.282, 1.645, 1.960, 2.576] - mean=0 - sd=0 + mean = 0 + sd = 0 for i in lst: - count= i + mean - mean=count - mean = mean/n + count = i + mean + mean = count + mean = mean / n for i in lst: - x=(i-mean)**2+sd - sd=x - sd=sd/n - standard_error = lst_t[j]*math.sqrt(sd/n) - problem= 'The confidence interval for sample {} with {}% confidence is'.format([x for x in lst], lst_per[j]) - solution= '({}, {})'.format(mean+standard_error, mean-standard_error) + x = (i - mean)**2 + sd + sd = x + sd = sd / n + standard_error = lst_t[j] * math.sqrt(sd / n) + problem = 'The confidence interval for sample {} with {}% confidence is'.format( + [x for x in lst], lst_per[j]) + solution = '({}, {})'.format(mean + standard_error, mean - standard_error) return problem, solution -def surdsComparisonFunc(maxValue = 100, maxRoot = 10): - radicand1,radicand2 = tuple(random.sample(range(1,maxValue),2)) - degree1, degree2 = tuple(random.sample(range(1,maxRoot),2)) + +def surdsComparisonFunc(maxValue=100, maxRoot=10): + radicand1, radicand2 = tuple(random.sample(range(1, maxValue), 2)) + degree1, degree2 = tuple(random.sample(range(1, maxRoot), 2)) problem = f"Fill in the blanks {radicand1}^(1/{degree1}) _ {radicand2}^(1/{degree2})" - first = math.pow(radicand1, 1/degree1) - second = math.pow(radicand2, 1/degree2) + first = math.pow(radicand1, 1 / degree1) + second = math.pow(radicand2, 1 / degree2) solution = "=" if first > second: solution = ">" @@ -854,72 +878,162 @@ def surdsComparisonFunc(maxValue = 100, maxRoot = 10): solution = "<" return problem, solution + def fibonacciSeriesFunc(minNo=1): - n = random.randint(minNo,20) + n = random.randint(minNo, 20) + def createFibList(n): - l=[] + fibList = [] for i in range(n): - if i<2: - l.append(i) + if i < 2: + fibList.append(i) else: - val = l[i-1]+l[i-2] - l.append(val) - return l - fibList=createFibList(n) - problem = "The Fibonacci Series of the first "+str(n)+" numbers is ?" + val = fibList[i - 1] + fibList[i - 2] + fibList.append(val) + return fibList + fibList = createFibList(n) + problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?" solution = fibList - return problem,solution + return problem, solution -def basicTrigonometryFunc(angles=[0,30,45,60,90],functions=["sin","cos","tan"]): #Handles degrees in quadrant one - angle=random.choice(angles) - function=random.choice(functions) - problem=f"What is {function}({angle})?" - expression='math.'+function+'(math.radians(angle))' - result_fraction_map={0.0:"0",0.5:"1/2",0.71:"1/√2",0.87:"√3/2",1.0:"1",0.58:"1/√3",1.73:"√3"} +# Handles degrees in quadrant one +def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90], functions=["sin", "cos", "tan"]): + angle = random.choice(angles) + function = random.choice(functions) - solution=result_fraction_map[round(eval(expression),2)] if round(eval(expression),2)<=99999 else "∞" #for handling the ∞ condition + problem = f"What is {function}({angle})?" + expression = 'math.' + function + '(math.radians(angle))' + result_fraction_map = {0.0: "0", 0.5: "1/2", 0.71: "1/√2", + 0.87: "√3/2", 1.0: "1", 0.58: "1/√3", 1.73: "√3"} - return problem,solution + solution = result_fraction_map[round(eval(expression), 2)] if round( + eval(expression), 2) <= 99999 else "∞" # for handling the ∞ condition -def sumOfAnglesOfPolygonFunc(maxSides = 12): + return problem, solution + + +def sumOfAnglesOfPolygonFunc(maxSides=12): side = random.randint(3, maxSides) sum = (side - 2) * 180 problem = f"Sum of angles of polygon with {side} sides = " solution = sum return problem, solution -def dataSummaryFunc(number_values=15,minval=5,maxval=50): - random_list=[] + +def dataSummaryFunc(number_values=15, minval=5, maxval=50): + random_list = [] for i in range(number_values): - n=random.randint(minval,maxval) + n = random.randint(minval, maxval) random_list.append(n) - a=sum(random_list) - mean=a/number_values - var=0 + a = sum(random_list) + mean = a / number_values + var = 0 for i in range(number_values): var+=(random_list[i]-mean)**2 - print(random_list) - print(mean) - print(var/number_values) - print((var/number_values)**0.5) problem="Find the mean,standard deviation and variance for the data"+str(random_list) solution="The Mean is {} , Standard Deviation is {}, Variance is {}".format(mean,var/number_values,(var/number_values)**0.5) return problem,solution -def surfaceAreaSphere(maxSide = 20, unit = 'm'): - r = random.randint(1, maxSide) +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) @@ -945,71 +1059,133 @@ def harmonicMeanFunc(maxValue=100, maxNum=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) subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc) -multiplication = Generator("Multiplication", 2, "a*b=", "c", multiplicationFunc) +multiplication = Generator( + "Multiplication", 2, "a*b=", "c", multiplicationFunc) division = Generator("Division", 3, "a/b=", "c", divisionFunc) -binaryComplement1s = Generator("Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc) +binaryComplement1s = Generator( + "Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc) moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc) squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc) -powerRuleDifferentiation = Generator("Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc) +powerRuleDifferentiation = Generator( + "Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc) square = Generator("Square", 8, "a^2", "b", squareFunc) -lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c", lcmFunc) -gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ", "c", gcdFunc) -basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc) +lcm = Generator("LCM (Least Common Multiple)", 9, + "LCM of a and b = ", "c", lcmFunc) +gcd = Generator("GCD (Greatest Common Denominator)", + 10, "GCD of a and b = ", "c", gcdFunc) +basicAlgebra = Generator( + "Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc) log = Generator("Logarithm", 12, "log2(8)", "3", logFunc) intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc) -decimalToBinary = Generator("Decimal to Binary", 14, "Binary of a=", "b", DecimalToBinaryFunc) -binaryToDecimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b", BinaryToDecimalFunc) -fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc) -intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22) -areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc) -doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc) -midPointOfTwoPoint = Generator("Midpoint of the two point", 20, "((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc) -factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc) -thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22, "Third Angle of the triangle = ", "angle3", thirdAngleOfTriangleFunc) -systemOfEquations = Generator("Solve a System of Equations in R^2", 23, "2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3",systemOfEquationsFunc) -distance2Point = Generator("Distance between 2 points", 24, "Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)", distanceTwoPointsFunc) -pythagoreanTheorem = Generator("Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc) -linearEquations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc) # This has multiple variables whereas #23 has only x and y -primeFactors = Generator("Prime Factorisation", 27, "Prime Factors of a =", "[b, c, d, ...]", primeFactorsFunc) -fractionMultiplication = Generator("Fraction Multiplication", 28, "(a/b)*(c/d)=", "x/y", multiplyFractionsFunc) -angleRegularPolygon = Generator("Angle of a Regular Polygon", 29, "Find the angle of a regular polygon with 6 sides", "120", regularPolygonAngleFunc) -combinations = Generator("Combinations of Objects", 30, "Combinations available for picking 4 objects at a time from 6 distinct objects =", " 15", combinationsFunc) +decimalToBinary = Generator("Decimal to Binary", 14, + "Binary of a=", "b", DecimalToBinaryFunc) +binaryToDecimal = Generator("Binary to Decimal", 15, + "Decimal of a=", "b", BinaryToDecimalFunc) +fractionDivision = Generator( + "Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc) +intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", + 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22) +areaOfTriangle = Generator( + "Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc) +doesTriangleExist = Generator("Triangle exists check", 19, + "Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc) +midPointOfTwoPoint = Generator("Midpoint of the two point", 20, + "((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc) +factoring = Generator("Factoring Quadratic", 21, + "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc) +thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22, + "Third Angle of the triangle = ", "angle3", thirdAngleOfTriangleFunc) +systemOfEquations = Generator("Solve a System of Equations in R^2", 23, + "2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3", systemOfEquationsFunc) +distance2Point = Generator("Distance between 2 points", 24, + "Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)", distanceTwoPointsFunc) +pythagoreanTheorem = Generator( + "Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc) +# This has multiple variables whereas #23 has only x and y +linearEquations = Generator( + "Linear Equations", 26, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc) +primeFactors = Generator("Prime Factorisation", 27, + "Prime Factors of a =", "[b, c, d, ...]", primeFactorsFunc) +fractionMultiplication = Generator( + "Fraction Multiplication", 28, "(a/b)*(c/d)=", "x/y", multiplyFractionsFunc) +angleRegularPolygon = Generator("Angle of a Regular Polygon", 29, + "Find the angle of a regular polygon with 6 sides", "120", regularPolygonAngleFunc) +combinations = Generator("Combinations of Objects", 30, + "Combinations available for picking 4 objects at a time from 6 distinct objects =", " 15", combinationsFunc) factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc) -surfaceAreaCubeGen = Generator("Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube) -surfaceAreaCuboidGen = Generator("Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid) -surfaceAreaCylinderGen = Generator("Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder) -volumeCubeGen = Generator("Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube) -volumeCuboidGen = Generator("Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid) -volumeCylinderGen = Generator("Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder) -surfaceAreaConeGen = Generator("Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone) -volumeConeGen = Generator("Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone) -commonFactors = Generator("Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc) -intersectionOfTwoLines = Generator("Intersection of Two Lines", 41, "Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc) -permutations = Generator("Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc) -vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c", vectorCrossFunc) -compareFractions = Generator("Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc) -simpleInterest = Generator("Simple Interest", 45, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc) -matrixMultiplication = Generator("Multiplication of two matrices", 46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc) -CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc) -powerRuleIntegration = Generator("Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc) -fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49, "Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc) -quadraticEquationSolve = Generator("Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation) -hcf = Generator("HCF (Highest Common Factor)", 51, "HCF of a and b = ", "c", hcfFunc) -diceSumProbability=Generator("Probability of a certain sum appearing on faces of dice", 52,"If n dices are rolled then probabilty of getting sum of x is =","z", DiceSumProbFunc) -exponentiation = Generator("Exponentiation", 53,"a^b = ","c",exponentiationFunc) -confidenceInterval = Generator("Confidence interval For sample S", 54, "With X% confidence", "is (A,B)", confidenceIntervalFunc) -surdsComparison = Generator("Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc) -fibonacciSeries = Generator("Fibonacci Series",56,"fibonacci series of first a numbers","prints the fibonacci series starting from 0 to a",fibonacciSeriesFunc) -basicTrigonometry=Generator("Trigonometric Values",57,"What is sin(X)?","ans",basicTrigonometryFunc) -sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58, "Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc) -dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc) -surfaceAreaSphereGen = Generator("Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is","d units^2", surfaceAreaSphere) -volumeSphere=Generator("Volume of Sphere",60,"Volume of sphere with radius r m = ","(4*pi/3)*r*r*r",volumeSphereFunc) -harmonicMean=Generator("Harmonic Mean of N Numbers",61,"Harmonic mean of n numbers A1 , A2 , ... , An = "," n/((1/A1) + (1/A2) + ... + (1/An)) = ans",harmonicMeanFunc) \ No newline at end of file +surfaceAreaCubeGen = Generator( + "Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube) +surfaceAreaCuboidGen = Generator( + "Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid) +surfaceAreaCylinderGen = Generator( + "Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder) +volumeCubeGen = Generator( + "Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube) +volumeCuboidGen = Generator( + "Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid) +volumeCylinderGen = Generator( + "Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder) +surfaceAreaConeGen = Generator( + "Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone) +volumeConeGen = Generator( + "Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone) +commonFactors = Generator( + "Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc) +intersectionOfTwoLines = Generator("Intersection of Two Lines", 41, + "Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc) +permutations = Generator( + "Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc) +vectorCross = Generator("Cross Product of 2 Vectors", + 43, "a X b = ", "c", vectorCrossFunc) +compareFractions = Generator( + "Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc) +simpleInterest = Generator( + "Simple Interest", 45, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc) +matrixMultiplication = Generator("Multiplication of two matrices", + 46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc) +CubeRoot = Generator( + "Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc) +powerRuleIntegration = Generator( + "Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc) +fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49, + "Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc) +quadraticEquationSolve = Generator( + "Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation) +hcf = Generator("HCF (Highest Common Factor)", 51, + "HCF of a and b = ", "c", hcfFunc) +diceSumProbability = Generator("Probability of a certain sum appearing on faces of dice", + 52, "If n dices are rolled then probabilty of getting sum of x is =", "z", DiceSumProbFunc) +exponentiation = Generator( + "Exponentiation", 53, "a^b = ", "c", exponentiationFunc) +confidenceInterval = Generator("Confidence interval For sample S", + 54, "With X% confidence", "is (A,B)", confidenceIntervalFunc) +surdsComparison = Generator( + "Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc) +fibonacciSeries = Generator("Fibonacci Series", 56, "fibonacci series of first a numbers", + "prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc) +basicTrigonometry = Generator( + "Trigonometric Values", 57, "What is sin(X)?", "ans", basicTrigonometryFunc) +sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58, + "Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc) +dataSummary = Generator("Mean,Standard Deviation,Variance", + 59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc) +surfaceAreaSphereGen = Generator( + "Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere) +volumeSphere = Generator("Volume of Sphere", 60, + "Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc) +nthFibonacciNumberGen = Generator("nth Fibonacci number", 61, "What is the nth Fibonacci number", "Fn", nthFibonacciNumber) + +profitLossPercent = Generator("Profit or Loss Percent", 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) +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)