diff --git a/README.md b/README.md index 6777b5c..6c692b0 100644 --- a/README.md +++ b/README.md @@ -30,66 +30,80 @@ problem, solution = mathgen.genById(0) | Id | Skill | Example problem | Example Solution | Function Name | |------|-----------------------------------|--------------------|-----------------------|--------------------------| -| 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 | +[//]: # list start +| 0 | Addition | 33+23= | 56 | addition | +| 1 | Subtraction | 14-1= | 13 | subtraction | +| 2 | Multiplication | 52*1= | 52 | multiplication | +| 3 | Division | 14/26= | 0.5384615384615384 | division | +| 4 | Binary Complement 1s | 0110111= | 1001000 | binaryComplement1s | +| 5 | Modulo Division | 23%70= | 23 | moduloDivision | +| 6 | Square Root | sqrt(121)= | 11 | squareRoot | +| 7 | Power Rule Differentiation | 3x^2 + 3x^5 + 1x^2 + 6x^4 + 6x^3 | 6x^1 + 15x^4 + 2x^1 + 24x^3 + 18x^2 | powerRuleDifferentiation | +| 8 | Square | 18^2= | 324 | square | +| 9 | LCM (Least Common Multiple) | LCM of 17 and 11 = | 187 | lcm | +| 10 | GCD (Greatest Common Denominator) | GCD of 15 and 12 = | 3 | gcd | +| 11 | Basic Algebra | 2x + 3 = 10 | 7/2 | basicAlgebra | +| 12 | Logarithm | log2(32) | 5 | log | +| 13 | Easy Division | 196/14 = | 14 | intDivision | +| 14 | Decimal to Binary | Binary of 61= | 111101 | decimalToBinary | +| 15 | Binary to Decimal | 1 | 1 | binaryToDecimal | +| 16 | Fraction Division | (2/1)/(10/5) | 1 | fractionDivision | +| 17 | Integer Multiplication with 2x2 Matrix | 16 * [[4, 1], [1, 2]] = | [[64,16],[16,32]] | intMatrix22Multiplication | +| 18 | Area of Triangle | Area of triangle with side lengths: 15 13 11 = | 69.62892717829278 | areaOfTriangle | +| 19 | Triangle exists check | Does triangle with sides 35, 14 and 37 exist? | Yes | doesTriangleExist | +| 20 | Midpoint of the two point | (15,5),(9,10)= | (12.0,7.5) | 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 | +| 22 | Third Angle of Triangle | Third angle of triangle with angles 37 and 54 = | 89 | thirdAngleOfTriangle | +| 23 | Solve a System of Equations in R^2 | -4x - 8y = 60, -9x + 10y = 51 | x = -9, y = -3 | systemOfEquations | +| 24 | Distance between 2 points | Find the distance between (16, 7) and (19, 14) | sqrt(58) | distance2Point | +| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 8 = | 19.70 | pythagoreanTheorem | +| 26 | Linear Equations | -8x + 15y = -109 +6x + -14y = 90 | x = 8, y = -3 | linearEquations | +| 27 | Prime Factorisation | Find prime factors of 130 | [2, 5, 13] | primeFactors | +| 28 | Fraction Multiplication | (8/9)*(3/2) | 4/3 | fractionMultiplication | +| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 8 sides | 135.0 | angleRegularPolygon | +| 30 | Combinations of Objects | Number of combinations from 11 objects picked 9 at a time | 55 | combinations | +| 31 | Factorial | 2! = | 2 | 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 = 8m, 4m, 17m is | 472 m^2 | surfaceAreaCuboidGen | +| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 32m and radius = 18m is | 5654 m^2 | surfaceAreaCylinderGen | +| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volumeCubeGen | +| 36 | Volume of Cuboid | Volume of cuboid with sides = 14m, 19m, 1m is | 266 m^3 | volumeCuboidGen | +| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 18m is | 16286 m^3 | volumeCylinderGen | +| 38 | Surface Area of cone | Surface area of cone with height = 48m and radius = 20m is | 4523 m^2 | surfaceAreaConeGen | +| 39 | Volume of cone | Volume of cone with height = 29m and radius = 6m is | 1093 m^3 | volumeConeGen | +| 40 | Common Factors | Common Factors of 59 and 57 = | [1] | commonFactors | +| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -1/4x - 2 and y = 4/5x + 3 | (-100/21, -17/21) | intersectionOfTwoLines | +| 42 | Permutations | Number of Permutations from 13 objects picked 8 at a time = | 51891840 | permutations | +| 43 | Cross Product of 2 Vectors | [4, -11, 9] X [-8, -19, -5] = | [226, -52, -164] | vectorCross | +| 44 | Compare Fractions | Which symbol represents the comparison between 3/7 and 2/4? | < | compareFractions | +| 45 | Simple Interest | Simple interest for a principle amount of 2398 dollars, 9% rate of interest and for a time period of 5 years is = | 1079.1 | simpleInterest | +| 46 | Multiplication of two matrices | Multiply +
-83 6 91 4 -58 91 -91 47 -87
4 -2 24 66 -58 -58 -46 -96 52
-5 5 -53 74 31 -67 65 -31 56
77 -16 -73 50 54 -46 -11 91 64
and + +") + print(prob) + instName = lines[line] - def_name = instName[:instName.find('=')].strip() - row = [myGen.id, myGen.title, prob, sol, def_name] + func_name = instName[:instName.find('=')].strip() # NOTE: renamed 'def_name' to 'func_name' because it suits it more + row = [myGen.id, myGen.title, prob, solu, func_name] + # print(item[1], func_name) line += 1 + if line > len(lines): + break allRows.append(row) -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) -g.close() +with open('README.md', "r") as g: + lines = g.readlines() + + line = lines.index('[//]: # list start\n') + lines = lines[:line+1] + + for row in allRows: + tableLine = "| " + str(row[0]) + " | " + str(row[1]) + " | " + str(row[2]) + " | " + str(row[3]) + " | " + str(row[4]) + " |\n" + lines.append(tableLine) + +with open('README.md', "w") as g: + g.writelines(lines) print("New README.md table generated") diff --git a/mathgenerator/funcs/matrixMultiplicationFunc.py b/mathgenerator/funcs/matrixMultiplicationFunc.py index de69218..eeaa265 100644 --- a/mathgenerator/funcs/matrixMultiplicationFunc.py +++ b/mathgenerator/funcs/matrixMultiplicationFunc.py @@ -40,11 +40,12 @@ def matrixMultiplicationFuncHelper(inp): m = len(inp) n = len(inp[0]) - string = "" + string = "[[" for i in range(m): for j in range(n): string += f"{inp[i][j]: 6d}" - string += " " - string += "\n" + string += ", "if j < n-1 else "" + string += "]\n [" if i < m-1 else "" + string += "]]" return string \ No newline at end of file diff --git a/mathgenerator/funcs/moduloFunc.py b/mathgenerator/funcs/moduloFunc.py index 5f8d2af..71f1421 100644 --- a/mathgenerator/funcs/moduloFunc.py +++ b/mathgenerator/funcs/moduloFunc.py @@ -4,7 +4,7 @@ from .__init__ import * def moduloFunc(maxRes=99, maxModulo=99): a = random.randint(0, maxModulo) b = random.randint(0, min(maxRes, maxModulo)) - c = a % b + c = a % b if b != 0 else 0 problem = str(a) + "%" + str(b) + "=" solution = str(c) diff --git a/mathgenerator/funcs/profitLossPercentFunc.py b/mathgenerator/funcs/profitLossPercentFunc.py index 533c294..05a3653 100644 --- a/mathgenerator/funcs/profitLossPercentFunc.py +++ b/mathgenerator/funcs/profitLossPercentFunc.py @@ -12,3 +12,5 @@ def profitLossPercentFunc(maxCP = 1000, maxSP = 1000): percent = diff/cP * 100 problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: " solution = percent + + return problem, solution \ No newline at end of file diff --git a/mathgenerator/mathgen.py b/mathgenerator/mathgen.py index 0e813a6..3265a0f 100644 --- a/mathgenerator/mathgen.py +++ b/mathgenerator/mathgen.py @@ -33,126 +33,73 @@ def getGenList(): # Format is: # = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>) +# Funcs_start - DO NOT REMOVE! 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) -# 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) +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) 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) +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", 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) -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) +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)
-59 -20 -50 -79 75 96
-56 36 70 47 -79 64
6 0 -8 -53 -23 -83
-42 -84 21 -10 -42 98
-9 -62 -15 -68 -49 -59
-81 -84 3 58 -84 -59
-56 33 73 98 51 -19
-81 -96 -98 61 -32 73
-43 66 83 90 -22 -94]] | [[ 3120, -15765, -13401, -2683, -17993, -3354] + [ 10584, 13902, 11916, -7446, 4430, 554] + [ -1800, 6587, 14343, 6224, 4525, 4853] + [-12452, -10675, -8693, 427, 2955, 17691]] | matrixMultiplication | +| 47 | Cube Root | cuberoot of 221 upto 2 decimal places is: | 6.05 | CubeRoot | +| 48 | Power Rule Integration | 4x^5 + 2x^5 + 9x^8 + 9x^5 | (4/5)x^6 + (2/5)x^6 + (9/8)x^9 + (9/5)x^6 + c | powerRuleIntegration | +| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 27 , 155, 116 = | 62 | fourthAngleOfQuadrilateral | +| 50 | Quadratic Equation | Zeros of the Quadratic Equation 53x^2+200x+78=0 | [-0.44, -3.33] | quadraticEquationSolve | +| 51 | HCF (Highest Common Factor) | HCF of 7 and 4 = | 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 84 m = | 2482712.7095377133 m^3 | volumeSphere | \ No newline at end of file +| 53 | Exponentiation | 9^10 = | 3486784401 | exponentiation | +| 54 | Confidence interval For sample S | The confidence interval for sample [266, 201, 278, 209, 229, 275, 216, 234, 219, 276, 282, 281, 208, 247, 265, 273, 286, 202, 231, 207, 251, 203, 259, 288, 291, 260, 210, 263, 222] with 99% confidence is | (260.5668079141175, 231.29526105139982) | confidenceInterval | +| 55 | Comparing surds | Fill in the blanks 15^(1/9) _ 55^(1/1) | < | surdsComparison | +| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacciSeries | +| 57 | Trigonometric Values | What is tan(30)? | 1/√3 | basicTrigonometry | +| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sumOfAnglesOfPolygon | +| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[36, 13, 31, 23, 38, 34, 24, 20, 41, 14, 19, 31, 11, 49, 49] | The Mean is 28.866666666666667 , Standard Deviation is 143.5822222222222, Variance is 11.982579948501167 | dataSummary | +| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surfaceAreaSphereGen | +| 60 | Volume of Sphere | Volume of sphere with radius 73 m = | 1629510.5990953872 m^3 | volumeSphere | +| 61 | nth Fibonacci number | What is the 68th Fibonacci number? | 72723460248141 | nthFibonacciNumberGen | +| 62 | Profit or Loss Percent | Profit percent when CP = 825 and SP = 972 is: | 17.81818181818182 | profitLossPercent | +| 63 | Binary to Hexidecimal | 100000 | 0x20 | binaryToHex | +| 64 | Multiplication of 2 complex numbers | (3+14j) * (-3+16j) = | (-233+6j) | complexNumMultiply | +| 65 | Geometric Progression | For the given GP [4, 16, 64, 256, 1024, 4096] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 4, common ratio is 4 , 8th term is 65536 , sum upto 7th term is 21844.0 | geometricprogression | +| 66 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 81 , 35 and 99 = | (81*35*99)^(1/3) = 65.47307713912309 | geometricMean | +| 67 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 99 and 25 = | 2/((1/99) + (1/25)) = 39.91935483870967 | harmonicMean | diff --git a/makeReadme.py b/makeReadme.py index 64f7989..796dc00 100644 --- a/makeReadme.py +++ b/makeReadme.py @@ -1,25 +1,51 @@ # 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 +# NOTE: not anymore. but still leaving this comment in. +from mathgenerator.mathgen import * wList = getGenList() +lines = [] +with open('mathgenerator/mathgen.py', 'r') as f: + lines=f.readlines() + allRows = [] -f = open('mathgen.py') -lines = f.readlines() -line = 720 # This has to be changed depending on which line the first generator appears on +line = lines.index('# Funcs_start - DO NOT REMOVE!\n')+1 # get the first line of the functions in mathgen.py for item in wList: myGen = item[2] - prob, sol = myGen() + # NOTE: renamed 'sol' to 'solu' to make it look nicer + prob, solu = myGen() prob = str(prob).rstrip("\n") - sol = str(sol).rstrip("\n") + solu = str(solu).rstrip("\n") + # edge case for matrixMultiplication + if item[0] == 46: + print(prob) + + prob = prob.replace("[[", "
") + prob = prob.replace("[", "
") + prob = prob.replace(", ", "") + prob = prob.replace("]]\n", "
") + prob = prob.replace("]\n", "