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Luke Weiler
2020-10-19 10:33:23 -04:00
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commit 01589398ff
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README.md
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@@ -30,66 +30,77 @@ problem, solution = mathgen.genById(0)
| Id | Skill | Example problem | Example Solution | Function Name | | Id | Skill | Example problem | Example Solution | Function Name |
|------|-----------------------------------|--------------------|-----------------------|--------------------------| |------|-----------------------------------|--------------------|-----------------------|--------------------------|
| 0 | Addition | 42+2= | 44 | addition | [//]: # list start
| 1 | Subtraction | 32-26= | 6 | subtraction | | 0 | Addition | 33+23= | 56 | addition |
| 2 | Multiplication | 77*1= | 77 | multiplication | | 1 | Subtraction | 14-1= | 13 | subtraction |
| 3 | Division | 66/9= | 7.333333333333333 | division | | 2 | Multiplication | 52*1= | 52 | multiplication |
| 4 | Binary Complement 1s | 1010000 | 0101111 | binaryComplement1s | | 3 | Division | 14/26= | 0.5384615384615384 | division |
| 5 | Modulo Division | 61%35= | 26 | moduloDivision | | 4 | Binary Complement 1s | 0110111= | 1001000 | binaryComplement1s |
| 6 | Square Root | sqrt(1)= | 1 | squareRoot | | 5 | Modulo Division | 23%70= | 23 | moduloDivision |
| 7 | Power Rule Differentiation | 5x^5 | 25x^4 | powerRuleDifferentiation | | 6 | Square Root | sqrt(121)= | 11 | squareRoot |
| 8 | Square | 20^2= | 400 | square | | 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 |
| 9 | LCM (Least Common Multiple) | LCM of 19 and 5 = | 95 | lcm | | 8 | Square | 18^2= | 324 | square |
| 10 | GCD (Greatest Common Denominator) | GCD of 10 and 11 = | 1 | gcd | | 9 | LCM (Least Common Multiple) | LCM of 17 and 11 = | 187 | lcm |
| 11 | Basic Algebra | 3x + 7 = 8 | 1/3 | basicAlgebra | | 10 | GCD (Greatest Common Denominator) | GCD of 15 and 12 = | 3 | gcd |
| 12 | Logarithm | log2(128) | 7 | log | | 11 | Basic Algebra | 2x + 3 = 10 | 7/2 | basicAlgebra |
| 13 | Easy Division | 306/18 = | 17 | intDivision | | 12 | Logarithm | log2(32) | 5 | log |
| 14 | Decimal to Binary | Binary of 28= | 11100 | decimalToBinary | | 13 | Easy Division | 196/14 = | 14 | intDivision |
| 15 | Binary to Decimal | 10001101 | 141 | binaryToDecimal | | 14 | Decimal to Binary | Binary of 61= | 111101 | decimalToBinary |
| 16 | Fraction Division | (4/1)/(6/3) | 2 | fractionDivision | | 15 | Binary to Decimal | 1 | 1 | binaryToDecimal |
| 17 | Integer Multiplication with 2x2 Matrix | 5 * [[10, 3], [0, 1]] = | [[50,15],[0,5]] | intMatrix22Multiplication | | 16 | Fraction Division | (2/1)/(10/5) | 1 | fractionDivision |
| 18 | Area of Triangle | Area of triangle with side lengths: 13 2 14 = | 11.659223816361019 | areaOfTriangle | | 17 | Integer Multiplication with 2x2 Matrix | 16 * [[4, 1], [1, 2]] = | [[64,16],[16,32]] | intMatrix22Multiplication |
| 19 | Triangle exists check | Does triangle with sides 3, 4 and 25 exist? | No | doesTriangleExist | | 18 | Area of Triangle | Area of triangle with side lengths: 15 13 11 = | 69.62892717829278 | areaOfTriangle |
| 20 | Midpoint of the two point | (4,-11),(17,-5)= | (10.5,-8.0) | midPointOfTwoPoint | | 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 | | 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 | | 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 | 5x - 7y = -84, 4x + 5y = 7 | x = -7, y = 7 | systemOfEquations | | 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 (5, -18) and (1, 19) | sqrt(1385) | distance2Point | | 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 15 and 5 = | 15.81 | pythagoreanTheorem | | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 8 = | 19.70 | pythagoreanTheorem |
| 26 | Linear Equations | -6x + -17y = -220 | 26 | Linear Equations | -8x + 15y = -109
-13x + -19y = -120 | x = -20, y = 20 | linearEquations | 6x + -14y = 90 | x = 8, y = -3 | linearEquations |
| 27 | Prime Factorisation | Find prime factors of 62 | [2, 31] | primeFactors | | 27 | Prime Factorisation | Find prime factors of 130 | [2, 5, 13] | primeFactors |
| 28 | Fraction Multiplication | (8/4)*(1/2) | 1 | fractionMultiplication | | 28 | Fraction Multiplication | (8/9)*(3/2) | 4/3 | fractionMultiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angleRegularPolygon | | 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 12 objects picked 1 at a time | 12 | combinations | | 30 | Combinations of Objects | Number of combinations from 11 objects picked 9 at a time | 55 | combinations |
| 31 | Factorial | 0! = | 1 | factorial | | 31 | Factorial | 2! = | 2 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 8m is | 384 m^2 | surfaceAreaCubeGen | | 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 = 18m, 17m, 1m is | 682 m^2 | surfaceAreaCuboidGen | | 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 = 31m and radius = 1m is | 201 m^2 | surfaceAreaCylinderGen | | 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 = 9m is | 729 m^3 | volumeCubeGen | | 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volumeCubeGen |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 20m, 1m, 10m is | 200 m^3 | volumeCuboidGen | | 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 = 7m and radius = 7m is | 1077 m^3 | volumeCylinderGen | | 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 = 47m and radius = 13m is | 2522 m^2 | surfaceAreaConeGen | | 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 = 4m and radius = 4m is | 67 m^3 | volumeConeGen | | 39 | Volume of cone | Volume of cone with height = 29m and radius = 6m is | 1093 m^3 | volumeConeGen |
| 40 | Common Factors | Common Factors of 20 and 90 = | [1, 2, 5, 10] | commonFactors | | 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 = -3/6x + 1 and y = 0/2x + 6 | (-10, 6) | intersectionOfTwoLines | | 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 11 objects picked 2 at a time = | 110 | permutations | | 42 | Permutations | Number of Permutations from 13 objects picked 8 at a time = | 51891840 | permutations |
| 43 | Cross Product of 2 Vectors | [-19, -3, 2] X [-15, -12, 7] = | [3, 103, 183] | vectorCross | | 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 8/6 and 3/1? | < | compareFractions | | 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 9862 dollars, 4% rate of interest and for a time period of 1 years is = | 394.48 | simpleInterest | | 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 | | 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 |
| 47 | Cube Root | cuberoot of 771 upto 2 decimal places is: | 9.17 | CubeRoot | [ 10584, 13902, 11916, -7446, 4430, 554]
| 48 | Power Rule Integration | 1x^3 + 8x^8 + 10x^10 | (1/3)x^4 + (8/8)x^9 + (10/10)x^11 + c | powerRuleIntegration | [ -1800, 6587, 14343, 6224, 4525, 4853]
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 84, 154 = | 70 | fourthAngleOfQuadrilateral | [-12452, -10675, -8693, 427, 2955, 17691]] | matrixMultiplication |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 51x^2+152x+80=0 | [-0.68, -2.3] | quadraticEquationSolve | | 47 | Cube Root | cuberoot of 221 upto 2 decimal places is: | 6.05 | CubeRoot |
| 51 | HCF (Highest Common Factor) | HCF of 11 and 7 = | 1 | hcf | | 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 | | 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 | | 53 | Exponentiation | 9^10 = | 3486784401 | 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 | | 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 16^(1/7) _ 67^(1/6) | < | surdsComparison | | 55 | Comparing surds | Fill in the blanks 15^(1/9) _ 55^(1/1) | < | 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 | | 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 cos(60)? | 1/2 | basicTrigonometry | | 57 | Trigonometric Values | What is tan(30)? | 1/√3 | basicTrigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sumOfAnglesOfPolygon | | 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[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 | 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 = 13m is | 2123.7166338267 m^2 | surfaceAreaSphereGen | | 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 84 m = | 2482712.7095377133 m^3 | volumeSphere | | 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 |

1
dev-requirements.txt
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@@ -2,3 +2,4 @@ pytest
hypothesis hypothesis
flake8 flake8
autopep8 autopep8
sympy

48
makeReadme.py
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@@ -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 # 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() wList = getGenList()
lines = []
with open('mathgenerator/mathgen.py', 'r') as f:
lines=f.readlines()
allRows = [] allRows = []
f = open('mathgen.py') line = lines.index('# Funcs_start - DO NOT REMOVE!\n')+1 # get the first line of the functions in mathgen.py
lines = f.readlines()
line = 720 # This has to be changed depending on which line the first generator appears on
for item in wList: for item in wList:
myGen = item[2] myGen = item[2]
prob, sol = myGen() # NOTE: renamed 'sol' to 'solu' to make it look nicer
prob, solu = myGen()
prob = str(prob).rstrip("\n") 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("[[", "<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] instName = lines[line]
def_name = instName[:instName.find('=')].strip() func_name = instName[:instName.find('=')].strip() # NOTE: renamed 'def_name' to 'func_name' because it suits it more
row = [myGen.id, myGen.title, prob, sol, def_name] row = [myGen.id, myGen.title, prob, solu, func_name]
# print(item[1], func_name)
line += 1 line += 1
if line > len(lines):
break
allRows.append(row) allRows.append(row)
g = open('../README.md', "a") with open('README.md', "r") as g:
for row in allRows: 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" tableLine = "| " + str(row[0]) + " | " + str(row[1]) + " | " + str(row[2]) + " | " + str(row[3]) + " | " + str(row[4]) + " |\n"
g.write(tableLine) lines.append(tableLine)
g.close()
with open('README.md', "w") as g:
g.writelines(lines)
print("New README.md table generated") print("New README.md table generated")

6
mathgenerator/funcs/__init__.py
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@@ -71,5 +71,11 @@ from .multiplyComplexNumbersFunc import *
from .geomProgrFunc import * from .geomProgrFunc import *
from .geometricMeanFunc import * from .geometricMeanFunc import *
from .harmonicMeanFunc import * from .harmonicMeanFunc import *
from .euclidianNormFunc import *
from .angleBtwVectorsFunc import *
from .absoluteDifferenceFunc import *
from .vectorDotFunc import *
from .binary2sComplement import *
from .matrixInversion import *
from .sectorAreaFunc import* from .sectorAreaFunc import*
from .meanMedianFunc import* from .meanMedianFunc import*

10
mathgenerator/funcs/absoluteDifferenceFunc.py Normal file
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@@ -0,0 +1,10 @@
from .__init__ import *
def absoluteDifferenceFunc (maxA = 100, maxB = 100):
a = random.randint(-1*maxA, maxA)
b = random.randint(-1*maxB, maxB)
absDiff = abs(a-b)
problem = "Absolute difference between numbers " + str(a) + " and " + str(b) + " = "
solution = absDiff
return problem, solution

16
mathgenerator/funcs/angleBtwVectorsFunc.py Normal file
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@@ -0,0 +1,16 @@
from .euclidianNormFunc import euclidianNormFunc
import math
from .__init__ import *
def angleBtwVectorsFunc(v1: list, v2: list):
sum = 0
for i in v1:
for j in v2:
sum += i * j
mags = euclidianNormFunc(v1) * euclidianNormFunc(v2)
problem = f"angle between the vectors {v1} and {v2} is:"
solution = math.acos(sum / mags)
# would return the answer in radians
return problem, solution

26
mathgenerator/funcs/binary2sComplement.py Normal file
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@@ -0,0 +1,26 @@
from .__init__ import *
def binary2sComplementFunc(maxDigits=10):
digits = random.randint(1, maxDigits)
question = ''.join([str(random.randint(0, 1)) for i in range(digits)]).lstrip('0')
answer = []
for i in question:
answer.append(str(int(not bool(int(i)))))
carry = True
j = len(answer) - 1
while j >= 0:
if answer[j] == '0':
answer[j] = '1'
carry = False
break
answer[j] = '0'
j -= 1
if j == 0 and carry == True:
answer.insert(0, '1')
problem = "2's complement of " + question + " ="
solution = ''.join(answer).lstrip('0')
return problem, solution

7
mathgenerator/funcs/euclidianNormFunc.py Normal file
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@@ -0,0 +1,7 @@
from .__init__ import *
def euclidianNormFunc(v1: list):
problem = f"Euclidian norm or L2 norm of the vector{v1} is:"
solution = sqrt(sum([i**2 for i in v1]))
return problem, solution

69
mathgenerator/funcs/matrixInversion.py Normal file
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@@ -0,0 +1,69 @@
from .__init__ import *
import sympy
def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerElementsInInvertedMatrix=False):
if OnlyIntegerElementsInInvertedMatrix is True:
isItOk = False
Mat = list()
while (isItOk is False):
Mat = list()
for i in range(0, SquareMatrixDimension):
z = list()
for j in range(0, SquareMatrixDimension):
z.append(0)
z[i] = 1
Mat.append(z)
MaxAllowedMatrixElement = math.ceil(
pow(MaxMatrixElement, 1 / (SquareMatrixDimension)))
randomlist = random.sample(
range(0, MaxAllowedMatrixElement + 1), SquareMatrixDimension)
for i in range(0, SquareMatrixDimension):
if i == SquareMatrixDimension - 1:
Mat[0] = [j + (k * randomlist[i])
for j, k in zip(Mat[0], Mat[i])]
else:
Mat[i + 1] = [j + (k * randomlist[i])
for j, k in zip(Mat[i + 1], Mat[i])]
for i in range(1, SquareMatrixDimension - 1):
Mat[i] = [sum(i)
for i in zip(Mat[SquareMatrixDimension - 1], Mat[i])]
isItOk = True
for i in Mat:
for j in i:
if j > MaxMatrixElement:
isItOk = False
break
if isItOk is False:
break
random.shuffle(Mat)
Mat = sympy.Matrix(Mat)
Mat = sympy.Matrix.transpose(Mat)
Mat = Mat.tolist()
random.shuffle(Mat)
Mat = sympy.Matrix(Mat)
Mat = sympy.Matrix.transpose(Mat)
else:
randomlist = list(sympy.primerange(0, MaxMatrixElement + 1))
plist = random.sample(randomlist, SquareMatrixDimension)
randomlist = random.sample(
range(0, MaxMatrixElement + 1), SquareMatrixDimension * SquareMatrixDimension)
randomlist = list(set(randomlist) - set(plist))
n_list = random.sample(
randomlist, SquareMatrixDimension * (SquareMatrixDimension - 1))
Mat = list()
for i in range(0, SquareMatrixDimension):
z = list()
z.append(plist[i])
for j in range(0, SquareMatrixDimension - 1):
z.append(n_list[(i * SquareMatrixDimension) + j - i])
random.shuffle(z)
Mat.append(z)
Mat = sympy.Matrix(Mat)
problem = 'Inverse of Matrix ' + str(Mat) + ' is:'
solution = str(sympy.Matrix.inv(Mat))
return problem, solution

7
mathgenerator/funcs/matrixMultiplicationFunc.py
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@@ -40,11 +40,12 @@ def matrixMultiplicationFuncHelper(inp):
m = len(inp) m = len(inp)
n = len(inp[0]) n = len(inp[0])
string = "" string = "[["
for i in range(m): for i in range(m):
for j in range(n): for j in range(n):
string += f"{inp[i][j]: 6d}" string += f"{inp[i][j]: 6d}"
string += " " string += ", "if j < n-1 else ""
string += "\n" string += "]\n [" if i < m-1 else ""
string += "]]"
return string return string

2
mathgenerator/funcs/moduloFunc.py
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@@ -4,7 +4,7 @@ from .__init__ import *
def moduloFunc(maxRes=99, maxModulo=99): def moduloFunc(maxRes=99, maxModulo=99):
a = random.randint(0, maxModulo) a = random.randint(0, maxModulo)
b = random.randint(0, min(maxRes, maxModulo)) b = random.randint(0, min(maxRes, maxModulo))
c = a % b c = a % b if b != 0 else 0
problem = str(a) + "%" + str(b) + "=" problem = str(a) + "%" + str(b) + "="
solution = str(c) solution = str(c)

2
mathgenerator/funcs/profitLossPercentFunc.py
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@@ -12,3 +12,5 @@ def profitLossPercentFunc(maxCP = 1000, maxSP = 1000):
percent = diff/cP * 100 percent = diff/cP * 100
problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: " problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: "
solution = percent solution = percent
return problem, solution

11
mathgenerator/funcs/vectorDotFunc.py Normal file
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@@ -0,0 +1,11 @@
from .__init__ import *
def vectorDotFunc(minVal=-20, maxVal=20):
a = [random.randint(minVal, maxVal) for i in range(3)]
b = [random.randint(minVal, maxVal) for i in range(3)]
c = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
problem = str(a) + " . " + str(b) + " = "
solution = str(c)
return problem, solution

185
mathgenerator/mathgen.py
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@@ -33,128 +33,81 @@ def getGenList():
# Format is: # Format is:
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>) # <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
# Funcs_start - DO NOT REMOVE!
addition = Generator("Addition", 0, "a+b=", "c", additionFunc) addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc) subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc)
multiplication = Generator( multiplication = Generator("Multiplication", 2, "a*b=", "c", multiplicationFunc)
"Multiplication", 2, "a*b=", "c", multiplicationFunc)
division = Generator("Division", 3, "a/b=", "c", divisionFunc) division = Generator("Division", 3, "a/b=", "c", divisionFunc)
binaryComplement1s = Generator( binaryComplement1s = Generator("Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc)
"Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc)
moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc) moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc)
squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc) squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc)
powerRuleDifferentiation = Generator( powerRuleDifferentiation = Generator("Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc)
"Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc)
square = Generator("Square", 8, "a^2", "b", squareFunc) square = Generator("Square", 8, "a^2", "b", squareFunc)
lcm = Generator("LCM (Least Common Multiple)", 9, lcm = Generator("LCM (Least Common Multiple)", 9,"LCM of a and b = ", "c", lcmFunc)
"LCM of a and b = ", "c", lcmFunc) gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ", "c", gcdFunc)
gcd = Generator("GCD (Greatest Common Denominator)", basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc)
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) log = Generator("Logarithm", 12, "log2(8)", "3", logFunc)
intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc) intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)
decimalToBinary = Generator("Decimal to Binary", 14, decimalToBinary = Generator("Decimal to Binary", 14,"Binary of a=", "b", DecimalToBinaryFunc)
"Binary of a=", "b", DecimalToBinaryFunc) binaryToDecimal = Generator("Binary to Decimal", 15,"Decimal of a=", "b", BinaryToDecimalFunc)
binaryToDecimal = Generator("Binary to Decimal", 15, fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
"Decimal of a=", "b", BinaryToDecimalFunc) intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
fractionDivision = Generator( areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
"Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc) doesTriangleExist = Generator("Triangle exists check", 19,"Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc)
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", midPointOfTwoPoint = Generator("Midpoint of the two point", 20,"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc)
17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22) factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
areaOfTriangle = Generator( thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22, "Third Angle of the triangle = ", "angle3", thirdAngleOfTriangleFunc)
"Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc) systemOfEquations = Generator("Solve a System of Equations in R^2", 23, "2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3", systemOfEquationsFunc)
doesTriangleExist = Generator("Triangle exists check", 19, distance2Point = Generator("Distance between 2 points", 24, "Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)", distanceTwoPointsFunc)
"Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc) pythagoreanTheorem = Generator("Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc)
midPointOfTwoPoint = Generator("Midpoint of the two point", 20, 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
"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc) primeFactors = Generator("Prime Factorisation", 27, "Prime Factors of a =", "[b, c, d, ...]", primeFactorsFunc)
factoring = Generator("Factoring Quadratic", 21, fractionMultiplication = Generator("Fraction Multiplication", 28, "(a/b)*(c/d)=", "x/y", multiplyFractionsFunc)
"x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc) angleRegularPolygon = Generator("Angle of a Regular Polygon", 29,"Find the angle of a regular polygon with 6 sides", "120", regularPolygonAngleFunc)
thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22, combinations = Generator("Combinations of Objects", 30, "Combinations available for picking 4 objects at a time from 6 distinct objects =", " 15", combinationsFunc)
"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) factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc)
surfaceAreaCubeGen = Generator( surfaceAreaCubeGen = Generator("Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube)
"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)
surfaceAreaCuboidGen = Generator( surfaceAreaCylinderGen = Generator("Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder)
"Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid) volumeCubeGen = Generator("Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube)
surfaceAreaCylinderGen = Generator( volumeCuboidGen = Generator("Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid)
"Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder) volumeCylinderGen = Generator( "Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder)
volumeCubeGen = Generator( surfaceAreaConeGen = Generator( "Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone)
"Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube) volumeConeGen = Generator( "Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone)
volumeCuboidGen = Generator( commonFactors = Generator("Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc)
"Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid) 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)
volumeCylinderGen = Generator( permutations = Generator("Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc)
"Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder) vectorCross = Generator("Cross Product of 2 Vectors",43, "a X b = ", "c", vectorCrossFunc)
surfaceAreaConeGen = Generator( compareFractions = Generator("Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc)
"Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone) 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)
volumeConeGen = Generator( matrixMultiplication = Generator("Multiplication of two matrices",46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc)
"Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone) CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc)
commonFactors = Generator( powerRuleIntegration = Generator("Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc)
"Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc) fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49,"Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc)
intersectionOfTwoLines = Generator("Intersection of Two Lines", 41, quadraticEquationSolve = Generator("Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation)
"Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc) hcf = Generator("HCF (Highest Common Factor)", 51,"HCF of a and b = ", "c", hcfFunc)
permutations = Generator( 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)
"Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc) exponentiation = Generator("Exponentiation", 53, "a^b = ", "c", exponentiationFunc)
vectorCross = Generator("Cross Product of 2 Vectors", confidenceInterval = Generator("Confidence interval For sample S",54, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
43, "a X b = ", "c", vectorCrossFunc) surdsComparison = Generator("Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc)
compareFractions = Generator( fibonacciSeries = Generator("Fibonacci Series", 56, "fibonacci series of first a numbers","prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc)
"Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc) basicTrigonometry = Generator("Trigonometric Values", 57, "What is sin(X)?", "ans", basicTrigonometryFunc)
simpleInterest = Generator( sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58,"Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc)
"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) dataSummary = Generator("Mean,Standard Deviation,Variance",59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc)
matrixMultiplication = Generator("Multiplication of two matrices", surfaceAreaSphereGen = Generator("Surface Area of Sphere", 60, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere)
46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc) volumeSphere = Generator("Volume of Sphere", 61, "Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc)
CubeRoot = Generator( nthFibonacciNumberGen = Generator("nth Fibonacci number", 62, "What is the nth Fibonacci number", "Fn", nthFibonacciNumberFunc)
"Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc) profitLossPercent = Generator("Profit or Loss Percent", 63, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)
powerRuleIntegration = Generator( binaryToHex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b", binaryToHexFunc)
"Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc) complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc)
fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49, 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)
"Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc) geometricMean=Generator("Geometric Mean of N Numbers",67,"Geometric mean of n numbers A1 , A2 , ... , An = ","(A1*A2*...An)^(1/n) = ans",geometricMeanFunc)
quadraticEquationSolve = Generator( 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)
"Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation) 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)
hcf = Generator("HCF (Highest Common Factor)", 51, 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)
"HCF of a and b = ", "c", hcfFunc) absoluteDifference=Generator("Absolute difference between two numbers", 71, "Absolute difference betweeen two numbers a and b =", "|a-b|", absoluteDifferenceFunc)
diceSumProbability = Generator("Probability of a certain sum appearing on faces of dice", vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c", vectorDotFunc)
52, "If n dices are rolled then probabilty of getting sum of x is =", "z", DiceSumProbFunc) binary2sComplement = Generator("Binary 2's Complement", 73, "2's complement of 11010110 =", "101010", binary2sComplementFunc)
exponentiation = Generator( invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is", "A^(-1)", matrixInversion)
"Exponentiation", 53, "a^b = ", "c", exponentiationFunc) sectorArea=Generator("Area of a Sector", 75,"Area of a sector with radius, r and angle, a ","Area",sectorAreaFunc)
confidenceInterval = Generator("Confidence interval For sample S", meanMedian=Generator("Mean and Median", 76,"Mean and median of given set of numbers","Mean, Median",meanMedianFunc)
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)
sectorArea=Generator("Area of a Sector",68,"Area of a sector with radius, r and angle, a ","Area",sectorAreaFunc)
meanMedian=Generator("Mean and Median",69,"Mean and median of given set of numbers","Mean, Median",meanMedianFunc)

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test.py
View File

@@ -3,3 +3,4 @@ from mathgenerator import mathgen
#test your generators here #test your generators here
print(mathgen.addition()) print(mathgen.addition())
print(mathgen.genById(74))