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Merge pull request #290 from Todarith/master

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Luke Weiler
2020-10-20 10:22:00 -04:00
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parent 4f03d1b035 507eb4ff76
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2
.github/ISSUE_TEMPLATE/new-generator-idea.md vendored
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@@ -11,6 +11,6 @@ assignees: ''
**Example Solution:**
**Further explanation:**
**Further explanation (optional):**
**Would you like to be assigned to this:**

1
CONTRIBUTING.md
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@@ -35,6 +35,7 @@ We currently just underwent a large reconstruction of the repository. Here is ho
* Place `.__init__ import *` at the top of your file and then write your function in the lines beneath it
* Add `from .<yourfunc> import *` at the bottom of the `__init__.py` file inside the funcs directory
If you have issues with checks you can try using yapf to fix linter errors or just go through them line by line.
### Provide Ideas
If you have an idea for a generator but don't have the time or know-how to create it, you can add it as an issue. If you have a lot of ideas, I would suggest adding them to the table in README.md so that they are easier for our team to manage.

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Makefile
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@@ -2,7 +2,7 @@ IGNORE_ERRORS = E501,F401,F403,F405
PKG = mathgenerator
format:
python -m autopep8 --ignore=$(IGNORE_ERRORS) -i $(PKG)/*
python -m autopep8 --ignore=$(IGNORE_ERRORS) -ir $(PKG)/*
lint:
python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)

162
README.md
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@@ -31,76 +31,92 @@ problem, solution = mathgen.genById(0)
| Id | Skill | Example problem | Example Solution | Function Name |
|------|-----------------------------------|--------------------|-----------------------|--------------------------|
[//]: # 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 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 <table><tr><td>-50</td><td>36</td><td>7</td><td>-26</td><td>-2</td><td>63</td></tr><tr><td>88</td><td>-37</td><td>60</td><td>-19</td><td>61</td><td>-56</td></tr><tr><td>48</td><td>-5</td><td>69</td><td>-87</td><td>-64</td><td>-92</td></tr><tr><td>-84</td><td>-50</td><td>-79</td><td>-19</td><td>86</td><td>-13</td></tr><tr><td>0</td><td>28</td><td>12</td><td>-14</td><td>73</td><td>-49</td></tr><tr><td>94</td><td>-90</td><td>2</td><td>26</td><td>-38</td><td>19</td></tr><tr><td>2</td><td>-11</td><td>79</td><td>-77</td><td>98</td><td>-77</td></tr><tr><td>-87</td><td>70</td><td>72</td><td>-32</td><td>64</td><td>-99</td></tr></table> and <table><tr><td>34</td><td>32</td><td>-6</td><td>-32</td><td>46</td><td>-23</td><td>78</td><td>-81</td><td>-18</td></tr><tr><td>-17</td><td>24</td><td>49</td><td>-62</td><td>-50</td><td>77</td><td>38</td><td>-98</td><td>-64</td></tr><tr><td>-23</td><td>-78</td><td>43</td><td> 5</td><td>-83</td><td>-5</td><td> 4</td><td>-92</td><td>-16</td></tr><tr><td> 46</td><td>-47</td><td>-92</td><td>52</td><td>-25</td><td>-37</td><td>44</td><td>51</td><td>-7</td></tr><tr><td> 20</td><td>26</td><td>70</td><td>37</td><td>96</td><td>-73</td><td>49</td><td>84</td><td>42</td></tr><tr><td>-72</td><td>-15</td><td>-80</td><td>-24</td><td>58</td><td>-47</td><td>-41</td><td>45</td><td>-69</td></tr></table>| <table><tr><td>-8245</td><td>-1057</td><td>-423</td><td>-3535</td><td>-569</td><td>2034</td><td>-6329</td><td>1219</td><td>-5765</td></tr><tr><td>6619</td><td> 567</td><td>10737</td><td>2391</td><td>4001</td><td>-6291</td><td>10147</td><td>-7387</td><td>6383</td></tr><tr><td>1472</td><td>-161</td><td>13318</td><td>-5565<td>-12574</td><td>10381</td><td> 638<td>-23699</td><td>2621</td></tr><tr><td>1593</td><td>5598</td><td>3465</td><td>7899</td><td>13170</td><td>-6487</td><td>-4857</td><td>24642</td><td>10618</td></tr><tr><td>3592</td><td>3027</td><td>12206</td><td>1473</td><td>2120</td><td>-412</td><td>6082</td><td>-635</td><td>4561</td></tr><tr><td>3748</td><td>-1803<td>-11460</td><td>2072</td><td>5462</td><td>-8183</td><td>2423</td><td>11</td><td> 947</td></tr><tr><td>2400</td><td> 960</td><td>22950</td><td>2483</td><td> 952</td><td>-1974</td><td>4625</td><td>-5512</td><td>9372</td></tr><tr><td>1132</td><td>-2067</td><td>22392</td><td>1884<td>-12276</td><td>8196</td><td>1949</td><td>-7148</td><td>5677</td></tr></table> | matrixMultiplication |
[ 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 | 9^10 = | 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 |
| 0 | Addition | 39+14= | 53 | addition |
| 1 | Subtraction | 28-20= | 8 | subtractionFunc |
| 2 | Multiplication | 23*2= | 46 | multiplicationFunc |
| 3 | Division | 34/27= | 1.2592592592592593 | divisionFunc |
| 4 | Binary Complement 1s | 01101= | 10010 | binaryComplement1sFunc |
| 5 | Modulo Division | 27%67= | 27 | moduloFunc |
| 6 | Square Root | sqrt(81)= | 9 | squareRootFunc |
| 7 | Power Rule Differentiation | 7x^2 + 1x^4 + 4x^8 + 5x^10 | 14x^1 + 4x^3 + 32x^7 + 50x^9 | powerRuleDifferentiationFunc |
| 8 | Square | 2^2= | 4 | squareFunc |
| 9 | LCM (Least Common Multiple) | LCM of 7 and 10 = | 70 | lcmFunc |
| 10 | GCD (Greatest Common Denominator) | GCD of 15 and 3 = | 3 | gcdFunc |
| 11 | Basic Algebra | 9x + 8 = 9 | 1/9 | basicAlgebraFunc |
| 12 | Logarithm | log2(32) | 5 | logFunc |
| 13 | Easy Division | 176/11 = | 16 | divisionToIntFunc |
| 14 | Decimal to Binary | Binary of 49= | 110001 | DecimalToBinaryFunc |
| 15 | Binary to Decimal | 01100 | 12 | BinaryToDecimalFunc |
| 16 | Fraction Division | (9/5)/(10/2) | 9/25 | divideFractionsFunc |
| 17 | Integer Multiplication with 2x2 Matrix | 8 * [[8, 9], [0, 3]] = | [[64,72],[0,24]] | multiplyIntToMatrix22 |
| 18 | Area of Triangle | Area of triangle with side lengths: 19 2 15 = | (1.7998558638262156e-15+29.393876913398138j) | areaOfTriangleFunc |
| 19 | Triangle exists check | Does triangle with sides 9, 12 and 5 exist? | Yes | isTriangleValidFunc |
| 20 | Midpoint of the two point | (-3,-3),(-7,-4)= | (-5.0,-3.5) | MidPointOfTwoPointFunc |
| 21 | Factoring Quadratic | x^2+4x-12 | (x+6)(x-2) | factoringFunc |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 4 and 27 = | 149 | thirdAngleOfTriangleFunc |
| 23 | Solve a System of Equations in R^2 | -6x - 10y = 22, 4x - 3y = 53 | x = 8, y = -7 | systemOfEquationsFunc |
| 24 | Distance between 2 points | Find the distance between (6, 2) and (-2, -2) | sqrt(80) | distanceTwoPointsFunc |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 10 and 13 = | 16.40 | pythagoreanTheoremFunc |
| 26 | Linear Equations | 8x + -8y = -40
20x + -16y = -108 | x = -7, y = -2 | linearEquationsFunc |
| 27 | Prime Factorisation | Find prime factors of 29 | [29] | primeFactorsFunc |
| 28 | Fraction Multiplication | (4/7)*(3/9) | 4/21 | multiplyFractionsFunc |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 3 sides | 60.0 | regularPolygonAngleFunc |
| 30 | Combinations of Objects | Number of combinations from 20 objects picked 5 at a time | 15504 | combinationsFunc |
| 31 | Factorial | 3! = | 6 | factorialFunc |
| 32 | Surface Area of Cube | Surface area of cube with side = 3m is | 54 m^2 | surfaceAreaCube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 4m, 15m, 5m is | 310 m^2 | surfaceAreaCuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 14m and radius = 11m is | 1727 m^2 | surfaceAreaCylinder |
| 35 | Volum of Cube | Volume of cube with side = 6m is | 216 m^3 | volumeCube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 9m, 6m, 15m is | 810 m^3 | volumeCuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 21m and radius = 4m is | 1055 m^3 | volumeCylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 7m and radius = 7m is | 371 m^2 | surfaceAreaCone |
| 39 | Volume of cone | Volume of cone with height = 46m and radius = 15m is | 10838 m^3 | volumeCone |
| 40 | Common Factors | Common Factors of 12 and 76 = | [1, 2, 4] | commonFactorsFunc |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 6x + 8 and y = 3/2x + 4 | (-8/9, 8/3) | intersectionOfTwoLinesFunc |
| 42 | Permutations | Number of Permutations from 15 objects picked 5 at a time = | 360360 | permutationFunc |
| 43 | Cross Product of 2 Vectors | [-13, -2, 0] X [-4, 14, -4] = | [8, -52, -190] | vectorCrossFunc |
| 44 | Compare Fractions | Which symbol represents the comparison between 3/8 and 3/9? | > | compareFractionsFunc |
| 45 | Simple Interest | Simple interest for a principle amount of 6266 dollars, 8% rate of interest and for a time period of 3 years is = | 1503.84 | simpleInterestFunc |
| 46 | Multiplication of two matrices | Multiply<table><tr><td>3</td><td>0</td></tr><tr><td>-1</td><td>-6</td></tr></table>and<table><tr><td>4</td><td>-7</td><td>5</td><td>-9</td></tr><tr><td>0</td><td>8</td><td>-10</td><td>-2</td></tr></table> | <table><tr><td>12</td><td>-21</td><td>15</td><td>-27</td></tr><tr><td>-4</td><td>-41</td><td>55</td><td>21</td></tr></table> | matrixMultiplicationFunc |
| 47 | Cube Root | cuberoot of 362 upto 2 decimal places is: | 7.13 | cubeRootFunc |
| 48 | Power Rule Integration | 2x^6 + 1x^5 + 7x^9 + 1x^10 | (2/6)x^7 + (1/5)x^6 + (7/9)x^10 + (1/10)x^11 + c | powerRuleIntegrationFunc |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 60 , 18, 7 = | 275 | fourthAngleOfQuadriFunc |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 40x^2+121x+89=0 | [-1.26, -1.76] | quadraticEquation |
| 51 | HCF (Highest Common Factor) | HCF of 4 and 12 = | 4 | hcfFunc |
| 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 13 = | 21/216 | DiceSumProbFunc |
| 53 | Exponentiation | 11^8 = | 214358881 | exponentiationFunc |
| 54 | Confidence interval For sample S | The confidence interval for sample [239, 265, 215, 283, 231, 296, 270, 260, 289, 271, 245, 251, 206, 255, 257, 247, 292, 232, 276, 297, 263, 254, 279, 253, 211, 236, 274, 209, 275, 278, 212, 214, 226, 230, 256, 249, 293] with 95% confidence is | (262.3172302973649, 245.19628321614857) | confidenceIntervalFunc |
| 55 | Comparing surds | Fill in the blanks 86^(1/4) _ 39^(1/1) | < | surdsComparisonFunc |
| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacciSeriesFunc |
| 57 | Trigonometric Values | What is sin(90)? | 1 | basicTrigonometryFunc |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sumOfAnglesOfPolygonFunc |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[19, 23, 36, 18, 44, 47, 18, 40, 27, 25, 14, 16, 6, 29, 50] | The Mean is 27.466666666666665 , Standard Deviation is 163.0488888888889, Variance is 12.769059827915637 | dataSummaryFunc |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 5m is | 314.1592653589793 m^2 | surfaceAreaSphere |
| 61 | Volume of Sphere | Volume of sphere with radius 63 m = | 1047394.4243362226 m^3 | volumeSphereFunc |
| 62 | nth Fibonacci number | What is the 60th Fibonacci number? | 1548008755920 | nthFibonacciNumberFunc |
| 63 | Profit or Loss Percent | Profit percent when CP = 121 and SP = 615 is: | 408.26446280991735 | profitLossPercentFunc |
| 64 | Binary to Hexidecimal | 10110 | 0x16 | binaryToHexFunc |
| 65 | Multiplication of 2 complex numbers | (20-1j) * (-7+14j) = | (-126+287j) | multiplyComplexNumbersFunc |
| 66 | Geometric Progression | For the given GP [2, 24, 288, 3456, 41472, 497664] ,Find the value of a,common ratio,9th term value, sum upto 10th term | The value of a is 2, common ratio is 12 , 9th term is 859963392 , sum upto 10th term is 11257702586.0 | geomProgrFunc |
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 18 , 24 , 99 , 12 = | (18*24*99*12)^(1/4) = 26.765480655440626 | geometricMeanFunc |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 41 and 82 = | 2/((1/41) + (1/82)) = 54.66666666666666 | harmonicMeanFunc |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[690.1926568125737, 148.904898302192, 222.19798825467595, 667.3276829127157, 366.9178192723557, 875.6869024243441, 336.14075266140685, 949.1256775112896, 626.0180041672427, 290.7427227038134, 207.55193301803965, 64.93900706542944, 736.3114771837603, 785.1756497858677] is: | 2142.639328828992 | euclidianNormFunc |
| 70 | Angle between 2 vectors | angle between the vectors [293.12905111302047, 909.0452944804068, 423.60965609823086, 870.8703924858319, 958.9076883380749, 837.4625321599826] and [938.5559146533071, 63.15299226225102, 418.14038421596024, 865.5267136591071, 513.9066820998474, 680.6577264839382] is: | NaN | angleBtwVectorsFunc |
| 71 | Absolute difference between two numbers | Absolute difference between numbers 76 and -20 = | 96 | absoluteDifferenceFunc |
| 72 | Dot Product of 2 Vectors | [19, 10, -5] . [0, -18, 15] = | -255 | vectorDotFunc |
| 73 | Binary 2's Complement | 2's complement of 110 = | 10 | binary2sComplement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[61, 68, 75], [31, 77, 66], [33, 59, 58]]) is: | Matrix([[11/141, 37/564, -33/188], [95/1833, 1063/7332, -567/2444], [-178/1833, -1355/7332, 863/2444]]) | matrixInversion |
| 75 | Area of a Sector | Given radius, 20 and angle, 235. Find the area of the sector. | Area of sector = 820.30475 | sectorAreaFunc |
| 76 | Mean and Median | Given the series of numbers [7, 89, 72, 14, 97, 48, 35, 12, 11, 27]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 41.2 and Arithmetic median of this series is 31.0 | meanMedianFunc |
| 77 | Determinant to 2x2 Matrix | Det([[26, 78], [39, 24]]) = | -2418 | determinantToMatrix22 |
| 78 | Compound Interest | Compound Interest for a principle amount of 6842 dollars, 8% rate of interest and for a time period of 5 compounded monthly is = | 6842.0 | compoundInterestFunc |
| 79 | Decimal to Hexadecimal | Binary of 860= | 0x35c | deciToHexaFunc |
| 80 | Percentage of a number | What is 75% of 28? | Required percentage = 21.00% | percentageFunc |
| 81 | Celsius To Fahrenheit | Convert 30 degrees Celsius to degrees Fahrenheit = | 86.0 | celsiustofahrenheit |
| 82 | AP Term Calculation | Find the term number 47 of the AP series: -56, 37, 130 ... | 4222 | arithmeticProgressionTermFunc |
| 83 | AP Sum Calculation | Find the sum of first 79 terms of the AP series: 34, 24, 14 ... | -28124.0 | arithmeticProgressionSumFunc |
| 84 | Converts decimal to octal | The decimal number 2245 in Octal is: | 0o4305 | decimalToOctalFunc |
| 85 | Converts decimal to Roman Numerals | The number 1658 in Roman Numerals is: | MDCLVIII | decimalToRomanNumeralsFunc |
| 86 | Degrees to Radians | Angle 12 in radians is = | 0.21 | degreeToRadFunc |
| 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radianToDegFunc |

1
dev-requirements.txt
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@@ -3,3 +3,4 @@ hypothesis
flake8
autopep8
sympy
numpy

37
makeReadme.py
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@@ -1,15 +1,23 @@
# 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 *
def array2markdown_table(string):
string = string.replace("[[", "<table><tr><td>")
string = string.replace("[", "<tr><td>")
string = string.replace(", ", "</td><td>")
string = string.replace("]]", "</td></tr></table>")
string = string.replace("]", "</td></tr>")
string = string.replace(" ", "")
string = string.replace("\n", "")
return string
wList = getGenList()
lines = []
with open('mathgenerator/mathgen.py', 'r') as f:
lines = f.readlines()
allRows = []
# get the first line of the functions in mathgen.py
line = lines.index('# Funcs_start - DO NOT REMOVE!\n') + 1
for item in wList:
myGen = item[2]
# NOTE: renamed 'sol' to 'solu' to make it look nicer
@@ -18,23 +26,16 @@ for item in wList:
solu = str(solu).rstrip("\n")
# edge case for matrixMultiplication
if item[0] == 46:
print(prob)
prob, solu = myGen(maxVal=10, max_dim=4)
prob = str(prob).rstrip("\n")
solu = str(solu).rstrip("\n")
prob = array2markdown_table(prob)
solu = array2markdown_table(solu)
prob = prob.replace("[[", "<table><tr><td>")
prob = prob.replace("[", "<tr><td>")
prob = prob.replace(", ", "</td><td>")
prob = prob.replace("]]\n", "</td></tr></table>")
prob = prob.replace("]\n", "</td></tr>")
print(prob)
instName = lines[line]
# NOTE: renamed 'def_name' to 'func_name' because it suits it more
func_name = instName[:instName.find('=')].strip()
func_name = item[3]
row = [myGen.id, myGen.title, prob, solu, func_name]
# print(item[1], func_name)
line += 1
if line > len(lines):
break
print('added', item[1], '-', func_name, 'to the README.md')
allRows.append(row)
with open('README.md', "r") as g:

12
mathgenerator/__init__.py
View File

@@ -1,3 +1,5 @@
import sys
import traceback
genList = []
@@ -8,7 +10,12 @@ class Generator:
self.generalProb = generalProb
self.generalSol = generalSol
self.func = func
genList.append([id, title, self])
(filename, line_number, function_name, text) = traceback.extract_stack()[-2]
funcname = filename[filename.rfind('/'):].strip()
funcname = funcname[1:-3]
# print(funcname)
genList.append([id, title, self, funcname])
def __str__(self):
return str(
@@ -20,4 +27,5 @@ class Generator:
def getGenList():
return genList
correctedList = genList[-1:] + genList[:-1]
return correctedList

5
mathgenerator/funcs/BinaryToDecimalFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def BinaryToDecimalFunc(max_dig=10):
@@ -10,3 +11,7 @@ def BinaryToDecimalFunc(max_dig=10):
solution = int(problem, 2)
return problem, solution
binaryToDecimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b",
BinaryToDecimalFunc)

5
mathgenerator/funcs/DecimalToBinaryFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def DecimalToBinaryFunc(max_dec=99):
@@ -9,3 +10,7 @@ def DecimalToBinaryFunc(max_dec=99):
solution = str(b)
return problem, solution
decimalToBinary = Generator("Decimal to Binary", 14, "Binary of a=", "b",
DecimalToBinaryFunc)

7
mathgenerator/funcs/DiceSumProbFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def DiceSumProbFunc(maxDice=3):
@@ -24,3 +25,9 @@ def DiceSumProbFunc(maxDice=3):
a, b)
solution = "{}/{}".format(count, 6**a)
return problem, solution
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)

6
mathgenerator/funcs/MidPointOfTwoPointFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def MidPointOfTwoPointFunc(maxValue=20):
@@ -10,3 +11,8 @@ def MidPointOfTwoPointFunc(maxValue=20):
problem = f"({x1},{y1}),({x2},{y2})="
solution = f"({(x1+x2)/2},{(y1+y2)/2})"
return problem, solution
midPointOfTwoPoint = Generator("Midpoint of the two point", 20,
"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)",
MidPointOfTwoPointFunc)

13
mathgenerator/funcs/__init__.py
View File

@@ -11,8 +11,8 @@ from .moduloFunc import *
from .squareRootFunc import *
from .powerRuleDifferentiationFunc import *
from .squareFunc import *
from .gcdFunc import *
from .lcmFunc import *
from .gcdFunc import *
from .basicAlgebraFunc import *
from .logFunc import *
from .divisionToIntFunc import *
@@ -35,10 +35,10 @@ 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 .volumeCube import *
from .volumeCuboid import *
from .volumeCylinder import *
from .surfaceAreaCone import *
from .volumeCone import *
@@ -83,3 +83,10 @@ from .determinantToMatrix22 import *
from .compoundInterestFunc import *
from .deciToHexaFunc import *
from .percentageFunc import *
from .celsiustofahrenheit import *
from .arithmeticProgressionTermFunc import *
from .arithmeticProgressionSumFunc import *
from .decimalToOctalFunc import *
from .decimalToRomanNumeralsFunc import *
from .degreeToRadFunc import *
from .radianToDegFunc import *

7
mathgenerator/funcs/absoluteDifferenceFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def absoluteDifferenceFunc(maxA=100, maxB=100):
@@ -10,3 +11,9 @@ def absoluteDifferenceFunc(maxA=100, maxB=100):
str(a) + " and " + str(b) + " = "
solution = absDiff
return problem, solution
absoluteDifference = Generator(
"Absolute difference between two numbers", 71,
"Absolute difference betweeen two numbers a and b =", "|a-b|",
absoluteDifferenceFunc)

27
mathgenerator/funcs/angleBtwVectorsFunc.py
View File

@@ -1,16 +1,29 @@
from .euclidianNormFunc import euclidianNormFunc
import math
from .__init__ import *
from ..__init__ import Generator
import math
def angleBtwVectorsFunc(v1: list, v2: list):
sum = 0
def angleBtwVectorsFunc(maxEltAmt=20):
s = 0
v1 = [random.uniform(0, 1000) for i in range(random.randint(2, maxEltAmt))]
v2 = [random.uniform(0, 1000) for i in v1]
for i in v1:
for j in v2:
sum += i * j
s += i * j
mags = euclidianNormFunc(v1) * euclidianNormFunc(v2)
mags = math.sqrt(sum([i**2 for i in v1])) * math.sqrt(sum([i**2 for i in v2]))
problem = f"angle between the vectors {v1} and {v2} is:"
solution = math.acos(sum / mags)
solution = ''
try:
solution = str(math.acos(s / mags))
except ValueError:
print('angleBtwVectorsFunc has some issues with math module, line 16')
solution = 'NaN'
# would return the answer in radians
return problem, solution
angleBtwVectors = Generator(
"Angle between 2 vectors", 70,
"Angle Between 2 vectors V1=[v11, v12, ..., v1n] and V2=[v21, v22, ....., v2n]",
"V1.V2 / (euclidNorm(V1)*euclidNorm(V2))", angleBtwVectorsFunc)

6
mathgenerator/funcs/areaOfTriangleFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
@@ -13,3 +14,8 @@ def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
str(a) + " " + str(b) + " " + str(c) + " = "
solution = area
return problem, solution
areaOfTriangle = Generator("Area of Triangle", 18,
"Area of Triangle with side lengths a, b, c = ",
"area", areaOfTriangleFunc)

19
mathgenerator/funcs/arithmeticProgressionSumFunc.py Normal file
View File

@@ -0,0 +1,19 @@
from .__init__ import *
from ..__init__ import Generator
def arithmeticProgressionSumFunc(maxd=100, maxa=100, maxn=100):
d = random.randint(-1 * maxd, maxd)
a1 = random.randint(-1 * maxa, maxa)
a2 = a1 + d
a3 = a2 + d
n = random.randint(4, maxn)
apString = str(a1) + ', ' + str(a2) + ', ' + str(a3) + ' ... '
problem = 'Find the sum of first ' + str(n) + ' terms of the AP series: ' + apString
solution = n * ((2 * a1) + ((n - 1) * d)) / 2
return problem, solution
arithmeticProgressionSum = Generator("AP Sum Calculation", 83,
"Find the sum of first n terms of the AP series: a1, a2, a3 ...",
"Sum", arithmeticProgressionSumFunc)

19
mathgenerator/funcs/arithmeticProgressionTermFunc.py Normal file
View File

@@ -0,0 +1,19 @@
from .__init__ import *
from ..__init__ import Generator
def arithmeticProgressionTermFunc(maxd=100, maxa=100, maxn=100):
d = random.randint(-1 * maxd, maxd)
a1 = random.randint(-1 * maxa, maxa)
a2 = a1 + d
a3 = a2 + d
n = random.randint(4, maxn)
apString = str(a1) + ', ' + str(a2) + ', ' + str(a3) + ' ... '
problem = 'Find the term number ' + str(n) + ' of the AP series: ' + apString
solution = a1 + ((n - 1) * d)
return problem, solution
arithmeticProgressionTerm = Generator("AP Term Calculation", 82,
"Find the term number n of the AP series: a1, a2, a3 ...",
"a-n", arithmeticProgressionTermFunc)

5
mathgenerator/funcs/basicAlgebraFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def basicAlgebraFunc(maxVariable=10):
@@ -23,3 +24,7 @@ def basicAlgebraFunc(maxVariable=10):
problem = f"{a}x + {b} = {c}"
solution = x
return problem, solution
basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d",
basicAlgebraFunc)

5
mathgenerator/funcs/basicTrigonometryFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
# Handles degrees in quadrant one
@@ -23,3 +24,7 @@ def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90],
solution = result_fraction_map[round(eval(expression), 2)] if round(
eval(expression), 2) <= 99999 else "∞" # for handling the ∞ condition
return problem, solution
basicTrigonometry = Generator("Trigonometric Values", 57, "What is sin(X)?",
"ans", basicTrigonometryFunc)

6
mathgenerator/funcs/binary2sComplement.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def binary2sComplementFunc(maxDigits=10):
@@ -26,3 +27,8 @@ def binary2sComplementFunc(maxDigits=10):
problem = "2's complement of " + question + " ="
solution = ''.join(answer).lstrip('0')
return problem, solution
binary2sComplement = Generator("Binary 2's Complement", 73,
"2's complement of 11010110 =", "101010",
binary2sComplementFunc)

5
mathgenerator/funcs/binaryComplement1sFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def binaryComplement1sFunc(maxDigits=10):
@@ -13,3 +14,7 @@ def binaryComplement1sFunc(maxDigits=10):
problem = question + "="
solution = answer
return problem, solution
binaryComplement1s = Generator("Binary Complement 1s", 4, "1010=", "0101",
binaryComplement1sFunc)

5
mathgenerator/funcs/binaryToHexFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def binaryToHexFunc(max_dig=10):
@@ -9,3 +10,7 @@ def binaryToHexFunc(max_dig=10):
solution = hex(int(problem, 2))
return problem, solution
binaryToHex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b",
binaryToHexFunc)

14
mathgenerator/funcs/celsiustofahrenheit.py Normal file
View File

@@ -0,0 +1,14 @@
from .__init__ import *
from ..__init__ import Generator
def celsiustofahrenheitFunc(maxTemp=100):
celsius = random.randint(-50, maxTemp)
fahrenheit = (celsius * (9 / 5)) + 32
problem = "Convert " + str(celsius) + " degrees Celsius to degrees Fahrenheit ="
solution = str(fahrenheit)
return problem, solution
celsiustofahrenheit = Generator("Celsius To Fahrenheit", 81,
"(C +(9/5))+32=", "F", celsiustofahrenheitFunc)

7
mathgenerator/funcs/combinationsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def combinationsFunc(maxlength=20):
@@ -17,3 +18,9 @@ def combinationsFunc(maxlength=20):
a, b)
return problem, solution
combinations = Generator(
"Combinations of Objects", 30,
"Combinations available for picking 4 objects at a time from 6 distinct objects =",
" 15", combinationsFunc)

6
mathgenerator/funcs/commonFactorsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def commonFactorsFunc(maxVal=100):
@@ -22,3 +23,8 @@ def commonFactorsFunc(maxVal=100):
problem = f"Common Factors of {a} and {b} = "
solution = arr
return problem, solution
commonFactors = Generator("Common Factors", 40,
"Common Factors of {a} and {b} = ", "[c, d, ...]",
commonFactorsFunc)

7
mathgenerator/funcs/compareFractionsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def compareFractionsFunc(maxVal=10):
@@ -24,3 +25,9 @@ def compareFractionsFunc(maxVal=10):
problem = f"Which symbol represents the comparison between {a}/{b} and {c}/{d}?"
return problem, solution
compareFractions = Generator(
"Compare Fractions", 44,
"Which symbol represents the comparison between a/b and c/d?", ">/</=",
compareFractionsFunc)

7
mathgenerator/funcs/compoundInterestFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def compoundInterestFunc(maxPrinciple=10000,
@@ -16,3 +17,9 @@ def compoundInterestFunc(maxPrinciple=10000,
t) + " compounded monthly is = "
solution = round(A, 2)
return problem, solution
compoundInterest = Generator(
"Compound Interest", 78,
"Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ",
"A dollars", compoundInterestFunc)

6
mathgenerator/funcs/confidenceIntervalFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def confidenceIntervalFunc():
@@ -29,3 +30,8 @@ def confidenceIntervalFunc():
[x for x in lst], lst_per[j])
solution = '({}, {})'.format(mean + standard_error, mean - standard_error)
return problem, solution
confidenceInterval = Generator("Confidence interval For sample S", 54,
"With X% confidence", "is (A,B)",
confidenceIntervalFunc)

5
mathgenerator/funcs/cubeRootFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def cubeRootFunc(minNo=1, maxNo=1000):
@@ -8,3 +9,7 @@ def cubeRootFunc(minNo=1, maxNo=1000):
problem = "cuberoot of " + str(b) + " upto 2 decimal places is:"
solution = str(round(a, 2))
return problem, solution
CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is",
"b", cubeRootFunc)

14
mathgenerator/funcs/dataSummaryFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def dataSummaryFunc(number_values=15, minval=5, maxval=50):
@@ -15,14 +16,15 @@ def dataSummaryFunc(number_values=15, minval=5, maxval=50):
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)
standardDeviation = var / number_values
variance = (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)
mean, standardDeviation, variance)
return problem, solution
dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c",
"Mean:a+b+c/3,Std,Var", dataSummaryFunc)

5
mathgenerator/funcs/deciToHexaFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def deciToHexaFunc(max_dec=1000):
@@ -8,3 +9,7 @@ def deciToHexaFunc(max_dec=1000):
solution = str(b)
return problem, solution
decimalToHexadeci = Generator("Decimal to Hexadecimal", 79, "Binary of a=",
"b", deciToHexaFunc)

12
mathgenerator/funcs/decimalToOctalFunc.py Normal file
View File

@@ -0,0 +1,12 @@
from .__init__ import *
def decimalToOctalFunc(maxDecimal=4096):
x = random.randint(0, maxDecimal)
problem = "The decimal number " + str(x) + " in Octal is: "
solution = oct(x)
return problem, solution
decimalToOctal = Generator("Converts decimal to octal", 84,
"What's the octal representation of 98?", "0o142", decimalToOctalFunc)

29
mathgenerator/funcs/decimalToRomanNumeralsFunc.py Normal file
View File

@@ -0,0 +1,29 @@
from .__init__ import *
def decimalToRomanNumeralsFunc(maxDecimal=4000):
x = random.randint(0, maxDecimal)
problem = "The number " + str(x) + " in Roman Numerals is: "
roman_dict = {1: "I", 5: "V", 10: "X", 50: "L", 100: "C", 500: "D", 1000: "M"}
divisor = 1
while x >= divisor:
divisor *= 10
divisor /= 10
solution = ""
while x:
last_value = int(x / divisor)
if last_value <= 3:
solution += (roman_dict[divisor] * last_value)
elif last_value == 4:
solution += (roman_dict[divisor] * roman_dict[divisor * 5])
elif 5 <= last_value <= 8:
solution += (roman_dict[divisor * 5] + (roman_dict[divisor] * (last_value - 5)))
elif last_value == 9:
solution += (roman_dict[divisor] + roman_dict[divisor * 10])
x = math.floor(x % divisor)
divisor /= 10
return problem, solution
decimalToRomanNumerals = Generator("Converts decimal to Roman Numerals",
85, "Convert 20 into Roman Numerals", "XX", decimalToRomanNumeralsFunc)

16
mathgenerator/funcs/degreeToRadFunc.py Normal file
View File

@@ -0,0 +1,16 @@
from .__init__ import *
from numpy import pi
def degreeToRadFunc(max_deg=360):
a = random.randint(0, max_deg)
b = (pi * a) / 180
b = round(b, 2)
problem = "Angle " + str(a) + " in radians is = "
solution = str(b)
return problem, solution
degreeToRad = Generator("Degrees to Radians", 86, "Angle a in radians is = ", "b", degreeToRadFunc)

6
mathgenerator/funcs/determinantToMatrix22.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def determinantToMatrix22(maxMatrixVal=100):
@@ -11,3 +12,8 @@ def determinantToMatrix22(maxMatrixVal=100):
problem = f"Det([[{a}, {b}], [{c}, {d}]]) = "
solution = f" {determinant}"
return problem, solution
intMatrix22determinant = Generator("Determinant to 2x2 Matrix", 77,
"Det([[a,b],[c,d]]) =", " a * d - b * c",
determinantToMatrix22)

6
mathgenerator/funcs/distanceTwoPointsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
@@ -12,3 +13,8 @@ def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
solution = f"sqrt({distanceSq})"
problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})"
return problem, solution
distance2Point = Generator("Distance between 2 points", 24,
"Find the distance between (x1,y1) and (x2,y2)",
"sqrt(distanceSquared)", distanceTwoPointsFunc)

5
mathgenerator/funcs/divideFractionsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def divideFractionsFunc(maxVal=10):
@@ -30,3 +31,7 @@ def divideFractionsFunc(maxVal=10):
problem = f"({a}/{b})/({c}/{d})"
solution = x
return problem, solution
fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y",
divideFractionsFunc)

4
mathgenerator/funcs/divisionFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def divisionFunc(maxRes=99, maxDivid=99):
@@ -9,3 +10,6 @@ def divisionFunc(maxRes=99, maxDivid=99):
problem = str(a) + "/" + str(b) + "="
solution = str(c)
return problem, solution
division = Generator("Division", 3, "a/b=", "c", divisionFunc)

4
mathgenerator/funcs/divisionToIntFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def divisionToIntFunc(maxA=25, maxB=25):
@@ -11,3 +12,6 @@ def divisionToIntFunc(maxA=25, maxB=25):
problem = f"{divisor}/{dividend} = "
solution = int(divisor / dividend)
return problem, solution
intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)

13
mathgenerator/funcs/euclidianNormFunc.py
View File

@@ -1,7 +1,14 @@
from .__init__ import *
from ..__init__ import Generator
def euclidianNormFunc(v1: list):
problem = f"Euclidian norm or L2 norm of the vector{v1} is:"
solution = sqrt(sum([i**2 for i in v1]))
def euclidianNormFunc(maxEltAmt=20):
vec = [random.uniform(0, 1000) for i in range(random.randint(2, maxEltAmt))]
problem = f"Euclidian norm or L2 norm of the vector{vec} is:"
solution = math.sqrt(sum([i**2 for i in vec]))
return problem, solution
eucldianNorm = Generator("Euclidian norm or L2 norm of a vector", 69,
"Euclidian Norm of a vector V:[v1, v2, ......., vn]",
"sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc)

5
mathgenerator/funcs/exponentiationFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def exponentiationFunc(maxBase=20, maxExpo=10):
@@ -8,3 +9,7 @@ def exponentiationFunc(maxBase=20, maxExpo=10):
problem = f"{base}^{expo} ="
solution = str(base**expo)
return problem, solution
exponentiation = Generator("Exponentiation", 53, "a^b = ", "c",
exponentiationFunc)

4
mathgenerator/funcs/factorialFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def factorialFunc(maxInput=6):
@@ -13,3 +14,6 @@ def factorialFunc(maxInput=6):
n -= 1
solution = str(b)
return problem, solution
factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc)

5
mathgenerator/funcs/factoringFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def factoringFunc(range_x1=10, range_x2=10):
@@ -27,3 +28,7 @@ def factoringFunc(range_x1=10, range_x2=10):
x2 = intParser(x2)
solution = f"(x{x1})(x{x2})"
return problem, solution
factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2",
"(x-x1)(x-x2)", factoringFunc)

6
mathgenerator/funcs/fibonacciSeriesFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def fibonacciSeriesFunc(minNo=1):
@@ -19,3 +20,8 @@ def fibonacciSeriesFunc(minNo=1):
problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?"
solution = fibList
return problem, solution
fibonacciSeries = Generator(
"Fibonacci Series", 56, "fibonacci series of first a numbers",
"prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc)

7
mathgenerator/funcs/fourthAngleOfQuadriFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def fourthAngleOfQuadriFunc(maxAngle=180):
@@ -12,3 +13,9 @@ def fourthAngleOfQuadriFunc(maxAngle=180):
problem = f"Fourth angle of quadrilateral with angles {angle1} , {angle2}, {angle3} ="
solution = angle4
return problem, solution
fourthAngleOfQuadrilateral = Generator(
"Fourth Angle of Quadrilateral", 49,
"Fourth angle of Quadrilateral with angles a,b,c =", "angle4",
fourthAngleOfQuadriFunc)

5
mathgenerator/funcs/gcdFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def gcdFunc(maxVal=20):
@@ -10,3 +11,7 @@ def gcdFunc(maxVal=20):
problem = f"GCD of {a} and {b} = "
solution = str(x)
return problem, solution
gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ",
"c", gcdFunc)

7
mathgenerator/funcs/geomProgrFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def geomProgrFunc(number_values=6,
@@ -21,3 +22,9 @@ def geomProgrFunc(number_values=6,
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
geometricprogression = Generator(
"Geometric Progression", 66,
"Initial value,Common Ratio,nth Term,Sum till nth term =",
"a,r,ar^n-1,sum(ar^n-1", geomProgrFunc)

6
mathgenerator/funcs/geometricMeanFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def geometricMeanFunc(maxValue=100, maxNum=4):
@@ -25,3 +26,8 @@ def geometricMeanFunc(maxValue=100, maxNum=4):
problem = f"Geometric mean of {num} numbers {a} , {b} , {c} , {d} = "
solution = f"({a}*{b}*{c}*{d})^(1/{num}) = {ans}"
return problem, solution
geometricMean = Generator("Geometric Mean of N Numbers", 67,
"Geometric mean of n numbers A1 , A2 , ... , An = ",
"(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)

7
mathgenerator/funcs/harmonicMeanFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def harmonicMeanFunc(maxValue=100, maxNum=4):
@@ -26,3 +27,9 @@ 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
harmonicMean = Generator("Harmonic Mean of N Numbers", 68,
"Harmonic mean of n numbers A1 , A2 , ... , An = ",
" n/((1/A1) + (1/A2) + ... + (1/An)) = ans",
harmonicMeanFunc)

5
mathgenerator/funcs/hcfFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def hcfFunc(maxVal=20):
@@ -10,3 +11,7 @@ def hcfFunc(maxVal=20):
problem = f"HCF of {a} and {b} = "
solution = str(x)
return problem, solution
hcf = Generator("HCF (Highest Common Factor)", 51, "HCF of a and b = ", "c",
hcfFunc)

7
mathgenerator/funcs/intersectionOfTwoLinesFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def intersectionOfTwoLinesFunc(minM=-10,
@@ -64,3 +65,9 @@ def intersectionOfTwoLinesFunc(minM=-10,
solution = f"({fractionToString(intersection_x)}, {fractionToString(intersection_y)})"
return problem, solution
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)

6
mathgenerator/funcs/isTriangleValidFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def isTriangleValidFunc(maxSideLength=50):
@@ -18,3 +19,8 @@ def isTriangleValidFunc(maxSideLength=50):
return problem, solution
solution = "No"
return problem, solution
doesTriangleExist = Generator("Triangle exists check", 19,
"Does triangle with sides a, b and c exist?",
"Yes/No", isTriangleValidFunc)

5
mathgenerator/funcs/lcmFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def lcmFunc(maxVal=20):
@@ -15,3 +16,7 @@ def lcmFunc(maxVal=20):
solution = str(d)
return problem, solution
lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c",
lcmFunc)

5
mathgenerator/funcs/linearEquationsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
@@ -27,3 +28,7 @@ def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
problem = "\n".join(problem)
return problem, solution
linearEquations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12",
"x=-20 & y=12", linearEquationsFunc)

4
mathgenerator/funcs/logFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def logFunc(maxBase=3, maxVal=8):
@@ -10,3 +11,6 @@ def logFunc(maxBase=3, maxVal=8):
solution = str(a)
return problem, solution
log = Generator("Logarithm", 12, "log2(8)", "3", logFunc)

5
mathgenerator/funcs/matrixInversion.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
import sympy
@@ -76,3 +77,7 @@ def matrixInversion(SquareMatrixDimension=3,
problem = 'Inverse of Matrix ' + str(Mat) + ' is:'
solution = str(sympy.Matrix.inv(Mat))
return problem, solution
invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is",
"A^(-1)", matrixInversion)

14
mathgenerator/funcs/matrixMultiplicationFunc.py
View File

@@ -1,10 +1,11 @@
from .__init__ import *
from ..__init__ import Generator
def matrixMultiplicationFunc(maxVal=100):
m = random.randint(2, 10)
n = random.randint(2, 10)
k = random.randint(2, 10)
def matrixMultiplicationFunc(maxVal=100, max_dim=10):
m = random.randint(2, max_dim)
n = random.randint(2, max_dim)
k = random.randint(2, max_dim)
# generate matrices a and b
a = []
@@ -51,3 +52,8 @@ def matrixMultiplicationFuncHelper(inp):
string += "]]"
return string
matrixMultiplication = Generator("Multiplication of two matrices", 46,
"Multiply two matrices A and B", "C",
matrixMultiplicationFunc)

6
mathgenerator/funcs/meanMedianFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def meanMedianFunc(maxlen=10):
@@ -12,3 +13,8 @@ def meanMedianFunc(maxlen=10):
median = (randomlist[4] + randomlist[5]) / 2
solution = f"Arithmetic mean of the series is {mean} and Arithmetic median of this series is {median}"
return problem, solution
meanMedian = Generator("Mean and Median", 76,
"Mean and median of given set of numbers",
"Mean, Median", meanMedianFunc)

4
mathgenerator/funcs/moduloFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def moduloFunc(maxRes=99, maxModulo=99):
@@ -9,3 +10,6 @@ def moduloFunc(maxRes=99, maxModulo=99):
problem = str(a) + "%" + str(b) + "="
solution = str(c)
return problem, solution
moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc)

8
mathgenerator/funcs/multiplicationFunc.py
View File

@@ -1,11 +1,19 @@
from .__init__ import *
from ..__init__ import Generator
def multiplicationFunc(maxRes=99, maxMulti=99):
a = random.randint(0, maxMulti)
if a == 0:
b = random.randint(0, maxRes)
else:
b = random.randint(0, min(int(maxMulti / a), maxRes))
c = a * b
problem = str(a) + "*" + str(b) + "="
solution = str(c)
return problem, solution
multiplication = Generator("Multiplication", 2, "a*b=", "c",
multiplicationFunc)

6
mathgenerator/funcs/multiplyComplexNumbersFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def multiplyComplexNumbersFunc(minRealImaginaryNum=-20,
@@ -10,3 +11,8 @@ def multiplyComplexNumbersFunc(minRealImaginaryNum=-20,
problem = f"{num1} * {num2} = "
solution = num1 * num2
return problem, solution
complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65,
"(x + j) (y + j) = ", "xy + xj + yj -1",
multiplyComplexNumbersFunc)

6
mathgenerator/funcs/multiplyFractionsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def multiplyFractionsFunc(maxVal=10):
@@ -30,3 +31,8 @@ def multiplyFractionsFunc(maxVal=10):
problem = f"({a}/{b})*({c}/{d})"
solution = x
return problem, solution
fractionMultiplication = Generator("Fraction Multiplication", 28,
"(a/b)*(c/d)=", "x/y",
multiplyFractionsFunc)

7
mathgenerator/funcs/multiplyIntToMatrix22.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def multiplyIntToMatrix22(maxMatrixVal=10, maxRes=100):
@@ -11,3 +12,9 @@ def multiplyIntToMatrix22(maxMatrixVal=10, maxRes=100):
problem = f"{constant} * [[{a}, {b}], [{c}, {d}]] = "
solution = f"[[{a*constant},{b*constant}],[{c*constant},{d*constant}]]"
return problem, solution
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",
17, "k * [[a,b],[c,d]]=",
"[[k*a,k*b],[k*c,k*d]]",
multiplyIntToMatrix22)

6
mathgenerator/funcs/nthFibonacciNumberFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def nthFibonacciNumberFunc(maxN=100):
@@ -8,3 +9,8 @@ def nthFibonacciNumberFunc(maxN=100):
ans = round((math.pow(golden_ratio, n) - math.pow(-golden_ratio, -n)) / (math.sqrt(5)))
solution = f"{ans}"
return problem, solution
nthFibonacciNumberGen = Generator("nth Fibonacci number", 62,
"What is the nth Fibonacci number", "Fn",
nthFibonacciNumberFunc)

5
mathgenerator/funcs/percentageFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def percentageFunc(maxValue=99, maxpercentage=99):
@@ -9,3 +10,7 @@ def percentageFunc(maxValue=99, maxpercentage=99):
formatted_float = "{:.2f}".format(percentage)
solution = f"Required percentage = {formatted_float}%"
return problem, solution
percentage = Generator("Percentage of a number", 80, "What is a% of b?",
"percentage", percentageFunc)

7
mathgenerator/funcs/permutationFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def permutationFunc(maxlength=20):
@@ -9,3 +10,9 @@ def permutationFunc(maxlength=20):
problem = "Number of Permutations from {} objects picked {} at a time = ".format(
a, b)
return problem, solution
permutations = Generator(
"Permutations", 42,
"Total permutations of 4 objects at a time from 10 objects is", "5040",
permutationFunc)

6
mathgenerator/funcs/powerRuleDifferentiationFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def powerRuleDifferentiationFunc(maxCoef=10, maxExp=10, maxTerms=5):
@@ -16,3 +17,8 @@ def powerRuleDifferentiationFunc(maxCoef=10, maxExp=10, maxTerms=5):
problem += str(coefficient) + "x^" + str(exponent)
solution += str(coefficient * exponent) + "x^" + str(exponent - 1)
return problem, solution
powerRuleDifferentiation = Generator("Power Rule Differentiation", 7, "nx^m=",
"(n*m)x^(m-1)",
powerRuleDifferentiationFunc)

5
mathgenerator/funcs/powerRuleIntegrationFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
@@ -19,3 +20,7 @@ def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
solution += " + c"
return problem, solution
powerRuleIntegration = Generator("Power Rule Integration", 48, "nx^m=",
"(n/m)x^(m+1)", powerRuleIntegrationFunc)

5
mathgenerator/funcs/primeFactorsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def primeFactorsFunc(minVal=1, maxVal=200):
@@ -20,3 +21,7 @@ def primeFactorsFunc(minVal=1, maxVal=200):
problem = f"Find prime factors of {a}"
solution = f"{factors}"
return problem, solution
primeFactors = Generator("Prime Factorisation", 27, "Prime Factors of a =",
"[b, c, d, ...]", primeFactorsFunc)

7
mathgenerator/funcs/profitLossPercentFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def profitLossPercentFunc(maxCP=1000, maxSP=1000):
@@ -14,3 +15,9 @@ def profitLossPercentFunc(maxCP=1000, maxSP=1000):
solution = percent
return problem, solution
profitLossPercent = Generator(
"Profit or Loss Percent", 63,
"Profit/ Loss percent when CP = cp and SP = sp is: ", "percent",
profitLossPercentFunc)

7
mathgenerator/funcs/pythagoreanTheoremFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def pythagoreanTheoremFunc(maxLength=20):
@@ -9,3 +10,9 @@ def pythagoreanTheoremFunc(maxLength=20):
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
pythagoreanTheorem = Generator(
"Pythagorean Theorem", 25,
"The hypotenuse of a right triangle given the other two lengths a and b = ",
"hypotenuse", pythagoreanTheoremFunc)

7
mathgenerator/funcs/quadraticEquation.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def quadraticEquation(maxVal=100):
@@ -13,3 +14,9 @@ def quadraticEquation(maxVal=100):
[round((-b + D) / (2 * a), 2),
round((-b - D) / (2 * a), 2)])
return problem, solution
quadraticEquationSolve = Generator(
"Quadratic Equation", 50,
"Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2",
quadraticEquation)

17
mathgenerator/funcs/radianToDegFunc.py Normal file
View File

@@ -0,0 +1,17 @@
from .__init__ import *
from numpy import pi
def radianToDegFunc(max_rad=3):
# max_rad is supposed to be pi but random can't handle non-integer
a = random.randint(0, max_rad)
b = (180 * a) / pi
b = round(b, 2)
problem = "Angle " + str(a) + " in degrees is = "
solution = str(b)
return problem, solution
radianToDeg = Generator("Radians to Degrees", 87, "Angle a in degrees is = ", "b", radianToDegFunc)

7
mathgenerator/funcs/regularPolygonAngleFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def regularPolygonAngleFunc(minVal=3, maxVal=20):
@@ -8,3 +9,9 @@ def regularPolygonAngleFunc(minVal=3, maxVal=20):
exteriorAngle = round((360 / sideNum), 2)
solution = 180 - exteriorAngle
return problem, solution
angleRegularPolygon = Generator(
"Angle of a Regular Polygon", 29,
"Find the angle of a regular polygon with 6 sides", "120",
regularPolygonAngleFunc)

6
mathgenerator/funcs/sectorAreaFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def sectorAreaFunc(maxRadius=49, maxAngle=359):
@@ -9,3 +10,8 @@ def sectorAreaFunc(maxRadius=49, maxAngle=359):
formatted_float = "{:.5f}".format(secArea)
solution = f"Area of sector = {formatted_float}"
return problem, solution
sectorArea = Generator("Area of a Sector", 75,
"Area of a sector with radius, r and angle, a ", "Area",
sectorAreaFunc)

7
mathgenerator/funcs/simpleInterestFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
@@ -13,3 +14,9 @@ def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
c) + " years is = "
solution = round(d, 2)
return problem, solution
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)

4
mathgenerator/funcs/squareFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def squareFunc(maxSquareNum=20):
@@ -8,3 +9,6 @@ def squareFunc(maxSquareNum=20):
problem = str(a) + "^2" + "="
solution = str(b)
return problem, solution
square = Generator("Square", 8, "a^2", "b", squareFunc)

4
mathgenerator/funcs/squareRootFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def squareRootFunc(minNo=1, maxNo=12):
@@ -8,3 +9,6 @@ def squareRootFunc(minNo=1, maxNo=12):
problem = "sqrt(" + str(a) + ")="
solution = str(b)
return problem, solution
squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc)

4
mathgenerator/funcs/subtractionFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def subtractionFunc(maxMinuend=99, maxDiff=99):
@@ -9,3 +10,6 @@ def subtractionFunc(maxMinuend=99, maxDiff=99):
problem = str(a) + "-" + str(b) + "="
solution = str(c)
return problem, solution
subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc)

6
mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def sumOfAnglesOfPolygonFunc(maxSides=12):
@@ -8,3 +9,8 @@ def sumOfAnglesOfPolygonFunc(maxSides=12):
problem = f"Sum of angles of polygon with {side} sides = "
solution = sum
return problem, solution
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58,
"Sum of angles of polygon with n sides = ",
"sum", sumOfAnglesOfPolygonFunc)

6
mathgenerator/funcs/surdsComparisonFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def surdsComparisonFunc(maxValue=100, maxRoot=10):
@@ -15,3 +16,8 @@ def surdsComparisonFunc(maxValue=100, maxRoot=10):
elif first < second:
solution = "<"
return problem, solution
surdsComparison = Generator("Comparing surds", 55,
"Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=",
surdsComparisonFunc)

7
mathgenerator/funcs/surfaceAreaCone.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def surfaceAreaCone(maxRadius=20, maxHeight=50, unit='m'):
@@ -11,3 +12,9 @@ def surfaceAreaCone(maxRadius=20, maxHeight=50, unit='m'):
solution = f"{ans} {unit}^2"
return problem, solution
surfaceAreaConeGen = Generator(
"Surface Area of cone", 38,
"Surface area of cone with height = a units and radius = b units is",
"c units^2", surfaceAreaCone)

6
mathgenerator/funcs/surfaceAreaCube.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def surfaceAreaCube(maxSide=20, unit='m'):
@@ -7,3 +8,8 @@ def surfaceAreaCube(maxSide=20, unit='m'):
ans = 6 * a * a
solution = f"{ans} {unit}^2"
return problem, solution
surfaceAreaCubeGen = Generator("Surface Area of Cube", 32,
"Surface area of cube with side a units is",
"b units^2", surfaceAreaCube)

7
mathgenerator/funcs/surfaceAreaCuboid.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def surfaceAreaCuboid(maxSide=20, unit='m'):
@@ -10,3 +11,9 @@ def surfaceAreaCuboid(maxSide=20, unit='m'):
ans = 2 * (a * b + b * c + c * a)
solution = f"{ans} {unit}^2"
return problem, solution
surfaceAreaCuboidGen = Generator(
"Surface Area of Cuboid", 33,
"Surface area of cuboid with sides = a units, b units, c units is",
"d units^2", surfaceAreaCuboid)

7
mathgenerator/funcs/surfaceAreaCylinder.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def surfaceAreaCylinder(maxRadius=20, maxHeight=50, unit='m'):
@@ -9,3 +10,9 @@ def surfaceAreaCylinder(maxRadius=20, maxHeight=50, unit='m'):
ans = int(2 * math.pi * a * b + 2 * math.pi * b * b)
solution = f"{ans} {unit}^2"
return problem, solution
surfaceAreaCylinderGen = Generator(
"Surface Area of Cylinder", 34,
"Surface area of cylinder with height = a units and radius = b units is",
"c units^2", surfaceAreaCylinder)

7
mathgenerator/funcs/surfaceAreaSphere.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def surfaceAreaSphere(maxSide=20, unit='m'):
@@ -8,3 +9,9 @@ def surfaceAreaSphere(maxSide=20, unit='m'):
ans = 4 * math.pi * r * r
solution = f"{ans} {unit}^2"
return problem, solution
surfaceAreaSphereGen = Generator(
"Surface Area of Sphere", 60,
"Surface area of sphere with radius = a units is", "d units^2",
surfaceAreaSphere)

6
mathgenerator/funcs/systemOfEquationsFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
@@ -45,3 +46,8 @@ def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
solution = f"x = {x}, y = {y}"
return problem, solution
# Add random (non-zero) multiple of equations to each other
systemOfEquations = Generator("Solve a System of Equations in R^2", 23,
"2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3",
systemOfEquationsFunc)

6
mathgenerator/funcs/thirdAngleOfTriangleFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def thirdAngleOfTriangleFunc(maxAngle=89):
@@ -9,3 +10,8 @@ def thirdAngleOfTriangleFunc(maxAngle=89):
problem = f"Third angle of triangle with angles {angle1} and {angle2} = "
solution = angle3
return problem, solution
thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22,
"Third Angle of the triangle = ", "angle3",
thirdAngleOfTriangleFunc)

5
mathgenerator/funcs/vectorCrossFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def vectorCrossFunc(minVal=-20, maxVal=20):
@@ -12,3 +13,7 @@ def vectorCrossFunc(minVal=-20, maxVal=20):
problem = str(a) + " X " + str(b) + " = "
solution = str(c)
return problem, solution
vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c",
vectorCrossFunc)

5
mathgenerator/funcs/vectorDotFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def vectorDotFunc(minVal=-20, maxVal=20):
@@ -9,3 +10,7 @@ def vectorDotFunc(minVal=-20, maxVal=20):
problem = str(a) + " . " + str(b) + " = "
solution = str(c)
return problem, solution
vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c",
vectorDotFunc)

7
mathgenerator/funcs/volumeCone.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def volumeCone(maxRadius=20, maxHeight=50, unit='m'):
@@ -9,3 +10,9 @@ def volumeCone(maxRadius=20, maxHeight=50, unit='m'):
ans = int(math.pi * b * b * a * (1 / 3))
solution = f"{ans} {unit}^3"
return problem, solution
volumeConeGen = Generator(
"Volume of cone", 39,
"Volume of cone with height = a units and radius = b units is",
"c units^3", volumeCone)

6
mathgenerator/funcs/volumeCube.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def volumeCube(maxSide=20, unit='m'):
@@ -8,3 +9,8 @@ def volumeCube(maxSide=20, unit='m'):
ans = a * a * a
solution = f"{ans} {unit}^3"
return problem, solution
volumeCubeGen = Generator("Volum of Cube", 35,
"Volume of cube with side a units is", "b units^3",
volumeCube)

7
mathgenerator/funcs/volumeCuboid.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def volumeCuboid(maxSide=20, unit='m'):
@@ -10,3 +11,9 @@ def volumeCuboid(maxSide=20, unit='m'):
ans = a * b * c
solution = f"{ans} {unit}^3"
return problem, solution
volumeCuboidGen = Generator(
"Volume of Cuboid", 36,
"Volume of cuboid with sides = a units, b units, c units is", "d units^3",
volumeCuboid)

7
mathgenerator/funcs/volumeCylinder.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def volumeCylinder(maxRadius=20, maxHeight=50, unit='m'):
@@ -9,3 +10,9 @@ def volumeCylinder(maxRadius=20, maxHeight=50, unit='m'):
ans = int(math.pi * b * b * a)
solution = f"{ans} {unit}^3"
return problem, solution
volumeCylinderGen = Generator(
"Volume of cylinder", 37,
"Volume of cylinder with height = a units and radius = b units is",
"c units^3", volumeCylinder)

6
mathgenerator/funcs/volumeSphereFunc.py
View File

@@ -1,4 +1,5 @@
from .__init__ import *
from ..__init__ import Generator
def volumeSphereFunc(maxRadius=100):
@@ -8,3 +9,8 @@ def volumeSphereFunc(maxRadius=100):
ans = (4 * math.pi / 3) * r * r * r
solution = f"{ans} m^3"
return problem, solution
volumeSphere = Generator("Volume of Sphere", 61,
"Volume of sphere with radius r m = ",
"(4*pi/3)*r*r*r", volumeSphereFunc)

236
mathgenerator/mathgen.py
View File

@@ -23,8 +23,8 @@ class Generator:
self.id
) + " " + self.title + " " + self.generalProb + " " + self.generalSol
def __call__(self, **kwargs):
return self.func(**kwargs)
def __call__(self, *args, **kwargs):
return self.func(*args, **kwargs)
# || Non-generator Functions
@@ -33,237 +33,5 @@ def genById(id):
return (generator())
#
# def getGenList():
# return(genList)
# Format is:
# <title> = 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)
division = Generator("Division", 3, "a/b=", "c", divisionFunc)
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)
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)
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)
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", 60,
"Surface area of sphere with radius = a units is", "d units^2",
surfaceAreaSphere)
volumeSphere = Generator("Volume of Sphere", 61,
"Volume of sphere with radius r m = ",
"(4*pi/3)*r*r*r", volumeSphereFunc)
nthFibonacciNumberGen = Generator("nth Fibonacci number", 62,
"What is the nth Fibonacci number", "Fn",
nthFibonacciNumberFunc)
profitLossPercent = Generator(
"Profit or Loss Percent", 63,
"Profit/ Loss percent when CP = cp and SP = sp is: ", "percent",
profitLossPercentFunc)
binaryToHex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b",
binaryToHexFunc)
complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65,
"(x + j) (y + j) = ", "xy + xj + yj -1",
multiplyComplexNumbersFunc)
geometricprogression = Generator(
"Geometric Progression", 66,
"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", 67,
"Geometric mean of n numbers A1 , A2 , ... , An = ",
"(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)
harmonicMean = Generator("Harmonic Mean of N Numbers", 68,
"Harmonic mean of n numbers A1 , A2 , ... , An = ",
" n/((1/A1) + (1/A2) + ... + (1/An)) = ans",
harmonicMeanFunc)
eucldianNorm = Generator("Euclidian norm or L2 norm of a vector", 69,
"Euclidian Norm of a vector V:[v1, v2, ......., vn]",
"sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc)
angleBtwVectors = Generator(
"Angle between 2 vectors", 70,
"Angle Between 2 vectors V1=[v11, v12, ..., v1n] and V2=[v21, v22, ....., v2n]",
"V1.V2 / (euclidNorm(V1)*euclidNorm(V2))", angleBtwVectorsFunc)
absoluteDifference = Generator(
"Absolute difference between two numbers", 71,
"Absolute difference betweeen two numbers a and b =", "|a-b|",
absoluteDifferenceFunc)
vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c",
vectorDotFunc)
binary2sComplement = Generator("Binary 2's Complement", 73,
"2's complement of 11010110 =", "101010",
binary2sComplementFunc)
invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is",
"A^(-1)", matrixInversion)
sectorArea = Generator("Area of a Sector", 75,
"Area of a sector with radius, r and angle, a ", "Area",
sectorAreaFunc)
meanMedian = Generator("Mean and Median", 76,
"Mean and median of given set of numbers",
"Mean, Median", meanMedianFunc)
intMatrix22determinant = Generator("Determinant to 2x2 Matrix", 77,
"Det([[a,b],[c,d]]) =", " a * d - b * c",
determinantToMatrix22)
compoundInterest = Generator(
"Compound Interest", 78,
"Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ",
"A dollars", compoundInterestFunc)
decimalToHexadeci = Generator("Decimal to Hexadecimal", 79, "Binary of a=",
"b", deciToHexaFunc)
percentage = Generator("Percentage of a number", 80, "What is a% of b?",
"percentage", percentageFunc)

11
test.py
View File

@@ -3,4 +3,13 @@ from mathgenerator import mathgen
# test your generators here
print(mathgen.addition())
print(mathgen.genById(79))
print(mathgen.genById(70))
# prints each generator in genList
"""
list = mathgen.getGenList()
for item in list:
print(item[2])
print(mathgen.getGenList())
"""