mirror of
https://github.com/DeaDvey/mathgenerator.git
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Merge branch 'master' of https://github.com/Todarith/mathgenerator
Conflicts: mathgenerator/mathgen.py
This commit is contained in:
2
.github/ISSUE_TEMPLATE/new-generator-idea.md
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2
.github/ISSUE_TEMPLATE/new-generator-idea.md
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@@ -11,6 +11,6 @@ assignees: ''
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**Example Solution:**
|
||||
|
||||
**Further explanation:**
|
||||
**Further explanation (optional):**
|
||||
|
||||
**Would you like to be assigned to this:**
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2
.github/workflows/python-publish.yml
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2
.github/workflows/python-publish.yml
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@@ -1,5 +1,5 @@
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# This workflows will upload a Python Package using Twine when a release is created
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# For more information see: https://help.github.com/en/actions/language-and-framework-guides/using-python-with-github-actions#publishing-to-package-registries
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# For more information see https://help.github.com/en/actions/language-and-framework-guides/using-python-with-github-actions#publishing-to-package-registries
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name: Upload Python Package
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17
.github/workflows/tests.yaml
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17
.github/workflows/tests.yaml
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@@ -9,15 +9,26 @@ jobs:
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steps:
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- uses: actions/checkout@v2
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- name: Set up Python
|
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uses: actions/setup-python@v2
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with:
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python-version: '3.x'
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- name: Install dependencies
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- uses: actions/cache@v1
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with:
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path: ~/.cache/pip
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key: ${{ runner.os }}-pip-${{ hashFiles('**/dev-requirements.txt') }}
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restore-keys: |
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${{ runner.os }}-pip-
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- name: Install Dependencies
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if: steps.cache.outputs.cache-hit != 'true'
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run: |
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python -m pip install -U pip
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python -m pip install -r dev-requirements.txt
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pip install -r dev-requirements.txt
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- name: Linter
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run: make lint
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- name: Test
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run: make test
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2
Makefile
2
Makefile
@@ -2,7 +2,7 @@ IGNORE_ERRORS = E501,F401,F403,F405
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PKG = mathgenerator
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format:
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python -m autopep8 --ignore=$(IGNORE_ERRORS) -i $(PKG)/*
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python -m autopep8 --ignore=$(IGNORE_ERRORS) -ir $(PKG)/*
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lint:
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python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
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163
README.md
163
README.md
@@ -31,76 +31,93 @@ problem, solution = mathgen.genById(0)
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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[//]: # list start
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| 0 | Addition | 33+23= | 56 | addition |
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| 1 | Subtraction | 14-1= | 13 | subtraction |
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| 2 | Multiplication | 52*1= | 52 | multiplication |
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| 3 | Division | 14/26= | 0.5384615384615384 | division |
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| 4 | Binary Complement 1s | 0110111= | 1001000 | binaryComplement1s |
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| 5 | Modulo Division | 23%70= | 23 | moduloDivision |
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| 6 | Square Root | sqrt(121)= | 11 | squareRoot |
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| 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 |
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| 8 | Square | 18^2= | 324 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 17 and 11 = | 187 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 15 and 12 = | 3 | gcd |
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| 11 | Basic Algebra | 2x + 3 = 10 | 7/2 | basicAlgebra |
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| 12 | Logarithm | log2(32) | 5 | log |
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||||
| 13 | Easy Division | 196/14 = | 14 | intDivision |
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||||
| 14 | Decimal to Binary | Binary of 61= | 111101 | decimalToBinary |
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| 15 | Binary to Decimal | 1 | 1 | binaryToDecimal |
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| 16 | Fraction Division | (2/1)/(10/5) | 1 | fractionDivision |
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| 17 | Integer Multiplication with 2x2 Matrix | 16 * [[4, 1], [1, 2]] = | [[64,16],[16,32]] | intMatrix22Multiplication |
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| 18 | Area of Triangle | Area of triangle with side lengths: 15 13 11 = | 69.62892717829278 | areaOfTriangle |
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||||
| 19 | Triangle exists check | Does triangle with sides 35, 14 and 37 exist? | Yes | doesTriangleExist |
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||||
| 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 |
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||||
| 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 |
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||||
| 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 |
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||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 8m, 4m, 17m is | 472 m^2 | surfaceAreaCuboidGen |
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||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 32m and radius = 18m is | 5654 m^2 | surfaceAreaCylinderGen |
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||||
| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volumeCubeGen |
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||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 14m, 19m, 1m is | 266 m^3 | volumeCuboidGen |
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| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 18m is | 16286 m^3 | volumeCylinderGen |
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||||
| 38 | Surface Area of cone | Surface area of cone with height = 48m and radius = 20m is | 4523 m^2 | surfaceAreaConeGen |
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||||
| 39 | Volume of cone | Volume of cone with height = 29m and radius = 6m is | 1093 m^3 | volumeConeGen |
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||||
| 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 |
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||||
| 42 | Permutations | Number of Permutations from 13 objects picked 8 at a time = | 51891840 | permutations |
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||||
| 43 | Cross Product of 2 Vectors | [4, -11, 9] X [-8, -19, -5] = | [226, -52, -164] | vectorCross |
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||||
| 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 |
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||||
| 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 |
|
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| 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 |
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||||
| 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 | 29+29= | 58 | addition |
|
||||
| 1 | Subtraction | 10-8= | 2 | subtraction |
|
||||
| 2 | Multiplication | 96*0= | 0 | multiplication |
|
||||
| 3 | Division | 25/95= | 0.2631578947368421 | division |
|
||||
| 4 | Binary Complement 1s | 100101100= | 011010011 | binary_complement_1s |
|
||||
| 5 | Modulo Division | 74%50= | 24 | modulo_division |
|
||||
| 6 | Square Root | sqrt(49)= | 7 | square_root |
|
||||
| 7 | Power Rule Differentiation | 10x^7 + 7x^5 + 5x^8 | 70x^6 + 35x^4 + 40x^7 | power_rule_differentiation |
|
||||
| 8 | Square | 9^2= | 81 | square |
|
||||
| 9 | LCM (Least Common Multiple) | LCM of 19 and 7 = | 133 | lcm |
|
||||
| 10 | GCD (Greatest Common Denominator) | GCD of 1 and 7 = | 1 | gcd |
|
||||
| 11 | Basic Algebra | 3x + 2 = 8 | 6 | basic_algebra |
|
||||
| 12 | Logarithm | log2(128) | 7 | log |
|
||||
| 13 | Easy Division | 228/12 = | 19 | int_division |
|
||||
| 14 | Decimal to Binary | Binary of 37= | 100101 | decimal_to_binary |
|
||||
| 15 | Binary to Decimal | 10100001 | 161 | binary_to_decimal |
|
||||
| 16 | Fraction Division | (8/2)/(8/2) | 1 | divide_fractions |
|
||||
| 17 | Integer Multiplication with 2x2 Matrix | 6 * [[3, 7], [10, 6]] = | [[18,42],[60,36]] | multiply_int_to_22_matrix |
|
||||
| 18 | Area of Triangle | Area of triangle with side lengths: 2 1 19 = | (5.449334243437888e-15+88.99438184514796j) | area_of_triangle |
|
||||
| 19 | Triangle exists check | Does triangle with sides 48, 16 and 30 exist? | No | valid_triangle |
|
||||
| 20 | Midpoint of the two point | (2,-5),(12,-7)= | (7.0,-6.0) | midpoint_of_two_points |
|
||||
| 21 | Factoring Quadratic | x^2-18x+81 | (x-9)(x-9) | factoring |
|
||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 45 and 1 = | 134 | third_angle_of_triangle |
|
||||
| 23 | Solve a System of Equations in R^2 | -7x - 10y = -133, 7x - 2y = 49 | x = 9, y = 7 | system_of_equations |
|
||||
| 24 | Distance between 2 points | Find the distance between (-10, 7) and (16, 6) | sqrt(677) | distance_two_points |
|
||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 10 and 8 = | 12.81 | pythagorean_theorem |
|
||||
| 26 | Linear Equations | 18x + -2y = -174, -13x + 6y = 194 | x = -8, y = 15 | linear_equations |
|
||||
| 27 | Prime Factorisation | Find prime factors of 16 | [2, 2, 2, 2] | prime_factors |
|
||||
| 28 | Fraction Multiplication | (6/8)*(2/5) | 3/10 | fraction_multiplication |
|
||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 17 sides | 158.82 | angle_regular_polygon |
|
||||
| 30 | Combinations of Objects | Number of combinations from 17 objects picked 3 at a time | 680 | combinations |
|
||||
| 31 | Factorial | 1! = | 1 | factorial |
|
||||
| 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surface_area_cube |
|
||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 12m, 11m, 1m is | 310 m^2 | surface_area_cuboid |
|
||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 38m and radius = 16m is | 5428 m^2 | surface_area_cylinder |
|
||||
| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volume_cube |
|
||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 17m, 19m, 8m is | 2584 m^3 | volume_cuboid |
|
||||
| 37 | Volume of cylinder | Volume of cylinder with height = 35m and radius = 19m is | 39694 m^3 | volume_cylinder |
|
||||
| 38 | Surface Area of cone | Surface area of cone with height = 8m and radius = 19m is | 2364 m^2 | surface_area_cone |
|
||||
| 39 | Volume of cone | Volume of cone with height = 43m and radius = 13m is | 7609 m^3 | volume_cone |
|
||||
| 40 | Common Factors | Common Factors of 21 and 65 = | [1] | common_factors |
|
||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 5/4x - 1 and y = 0/4x - 5 | (-16/5, -5) | intersection_of_two_lines |
|
||||
| 42 | Permutations | Number of Permutations from 10 objects picked 5 at a time = | 30240 | permutation |
|
||||
| 43 | Cross Product of 2 Vectors | [12, -16, 4] X [-14, 10, -9] = | [104, 52, -104] | vector_cross |
|
||||
| 44 | Compare Fractions | Which symbol represents the comparison between 7/10 and 7/5? | < | compare_fractions |
|
||||
| 45 | Simple Interest | Simple interest for a principle amount of 6138 dollars, 9% rate of interest and for a time period of 8 years is = | 4419.36 | simple_interest |
|
||||
| 46 | Multiplication of two matrices | Multiply<table><tr><td>-8</td><td>-8</td></tr><tr><td>-2</td><td>-9</td></tr></table>and<table><tr><td>-10</td><td>-8</td></tr><tr><td>9</td><td>-9</td></tr></table> | <table><tr><td>8</td><td>136</td></tr><tr><td>-61</td><td>97</td></tr></table> | matrix_multiplication |
|
||||
| 47 | Cube Root | cuberoot of 633 upto 2 decimal places is: | 8.59 | cube_root |
|
||||
| 48 | Power Rule Integration | 2x^5 + 3x^3 + 4x^7 + 9x^1 + 6x^9 | (2/5)x^6 + (3/3)x^4 + (4/7)x^8 + (9/1)x^2 + (6/9)x^10 + c | power_rule_integration |
|
||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 79 , 44, 37 = | 200 | fourth_angle_of_quadrilateral |
|
||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 79x^2+182x+98=0 | [-0.86, -1.45] | quadratic_equation |
|
||||
| 51 | HCF (Highest Common Factor) | HCF of 1 and 20 = | 1 | hcf |
|
||||
| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 2 = | 1/6 | dice_sum_probability |
|
||||
| 53 | Exponentiation | 6^9 = | 10077696 | exponentiation |
|
||||
| 54 | Confidence interval For sample S | The confidence interval for sample [260, 249, 281, 261, 236, 237, 275, 229, 256, 242, 277, 240, 278, 293, 271, 255, 216, 292, 200, 298, 282, 223] with 99% confidence is | (271.2437114485249, 242.48356127874783) | confidence_interval |
|
||||
| 55 | Comparing surds | Fill in the blanks 71^(1/5) _ 31^(1/8) | > | surds_comparison |
|
||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 19 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584] | fibonacci_series |
|
||||
| 57 | Trigonometric Values | What is cos(45)? | 1/√2 | basic_trigonometry |
|
||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 10 sides = | 1440 | sum_of_polygon_angles |
|
||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[13, 22, 36, 17, 9, 39, 50, 14, 32, 40, 37, 48, 47, 28, 47] | The Mean is 31.933333333333334 , Standard Deviation is 182.59555555555553, Variance is 13.51279229306643 | data_summary |
|
||||
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 18m is | 4071.5040790523717 m^2 | surface_area_sphere |
|
||||
| 61 | Volume of Sphere | Volume of sphere with radius 61 m = | 950775.7894726198 m^3 | volume_sphere |
|
||||
| 62 | nth Fibonacci number | What is the 85th Fibonacci number? | 259695496911123328 | nth_fibonacci_number |
|
||||
| 63 | Profit or Loss Percent | Profit percent when CP = 353 and SP = 752 is: | 113.03116147308782 | profit_loss_percent |
|
||||
| 64 | Binary to Hexidecimal | 111101011 | 0x1eb | binary_to_hex |
|
||||
| 65 | Multiplication of 2 complex numbers | (-19-9j) * (-17-2j) = | (305+191j) | multiply_complex_numbers |
|
||||
| 66 | Geometric Progression | For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,6th term value, sum upto 7th term | The value of a is 7, common ratio is 11 , 6th term is 1127357 , sum upto 7th term is 13641019.0 | geometric_progression |
|
||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 32 , 5 and 18 = | (32*5*18)^(1/3) = 14.227573217960249 | geometric_mean |
|
||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 48 , 85 and 79 = | 3/((1/48) + (1/85) + (1/79)) = 66.28916158223076 | harmonic_mean |
|
||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[743.1109024649227, 951.2861991520674, 821.2679183199273, 831.5922742303677, 972.3005129207023, 775.1712986008336, 869.5254070360901, 34.05779748860371, 495.5299489221041, 516.2458991121815, 620.0871728488738, 12.438787805084894, 967.8138977993306, 627.6791615554401, 129.81896901435886, 566.4442009627315, 521.5300881726977, 741.5947979192599] is: | 2917.827115551868 | euclidian_norm |
|
||||
| 70 | Angle between 2 vectors | angle between the vectors [341.1766244080324, 386.90517658729595, 306.3074773969527, 542.1138441520038, 149.80203485453225, 85.6719016065689, 875.0827941729921, 292.0422074695527, 312.8929536855103, 408.95388654647445, 119.81564007869672, 177.5529661884936, 360.30983184002406, 111.71502530193955, 29.528755078141455, 478.2846569662712, 855.8978282979257] and [230.45166329807688, 922.2895458023412, 219.89492715268733, 375.8793126730714, 731.2614314505195, 277.5554009411926, 329.1490487358273, 477.7600322879586, 168.93745868538923, 423.6897582803929, 724.5555882496458, 519.6421532094823, 158.0479000313908, 679.3674240323584, 496.6795371750926, 853.4421897526636, 715.2567898992207] is: | NaN | angle_btw_vectors |
|
||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers 53 and -70 = | 123 | absolute_difference |
|
||||
| 72 | Dot Product of 2 Vectors | [-8, -4, -10] . [-9, -6, -9] = | 186 | vector_dot |
|
||||
| 73 | Binary 2's Complement | 2's complement of = | | binary_2s_complement |
|
||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[43, 95, 41], [46, 80, 67], [57, 75, 71]]) is: | Matrix([[131/7038, -367/3519, 617/7038], [553/35190, 358/17595, -199/7038], [-37/1173, 73/1173, -31/1173]]) | invert_matrix |
|
||||
| 75 | Area of a Sector | Given radius, 40 and angle, 199. Find the area of the sector. | Area of sector = 2778.56417 | sector_area |
|
||||
| 76 | Mean and Median | Given the series of numbers [44, 64, 22, 37, 63, 56, 27, 62, 98, 72]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 54.5 and Arithmetic median of this series is 59.0 | mean_median |
|
||||
| 77 | Determinant to 2x2 Matrix | Det([[73, 52], [55, 80]]) = | 2980 | int_matrix_22_determinant |
|
||||
| 78 | Compound Interest | Compound Interest for a principle amount of 8506 dollars, 8% rate of interest and for a time period of 10 compounded monthly is = | 8506.0 | compound_interest |
|
||||
| 79 | Decimal to Hexadecimal | Binary of 293= | 0x125 | decimal_to_hexadeci |
|
||||
| 80 | Percentage of a number | What is 57% of 4? | Required percentage = 2.28% | percentage |
|
||||
| 81 | Celsius To Fahrenheit | Convert 57 degrees Celsius to degrees Fahrenheit = | 134.60000000000002 | celsius_to_fahrenheit |
|
||||
| 82 | AP Term Calculation | Find the term number 89 of the AP series: 20, 115, 210 ... | 8380 | arithmetic_progression_term |
|
||||
| 83 | AP Sum Calculation | Find the sum of first 98 terms of the AP series: -58, -106, -154 ... | -233828.0 | arithmetic_progression_sum |
|
||||
| 84 | Converts decimal to octal | The decimal number 1716 in Octal is: | 0o3264 | decimal_to_octal |
|
||||
| 85 | Converts decimal to Roman Numerals | The number 587 in Roman Numerals is: | DLXXXVII | decimal_to_roman_numerals |
|
||||
| 86 | Degrees to Radians | Angle 245 in radians is = | 4.28 | degree_to_rad |
|
||||
| 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg |
|
||||
| 88 | Differentiation | differentiate w.r.t x : d(exp(x)+5*x^(-2))/dx | exp(x) - 10/x^3 | differentiation |
|
||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 39x^2 + 72x + 74 is = | 123.0 | definite_integral |
|
||||
|
||||
@@ -3,3 +3,5 @@ hypothesis
|
||||
flake8
|
||||
autopep8
|
||||
sympy
|
||||
numpy
|
||||
scipy
|
||||
|
||||
@@ -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:
|
||||
|
||||
@@ -1,3 +1,5 @@
|
||||
import sys
|
||||
import traceback
|
||||
genList = []
|
||||
|
||||
|
||||
@@ -8,16 +10,22 @@ 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(
|
||||
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)
|
||||
|
||||
|
||||
def getGenList():
|
||||
return genList
|
||||
correctedList = genList[-1:] + genList[:-1]
|
||||
return correctedList
|
||||
|
||||
@@ -2,85 +2,96 @@ import random
|
||||
import math
|
||||
import fractions
|
||||
|
||||
from ..__init__ import *
|
||||
|
||||
from .addition import *
|
||||
from .subtractionFunc import *
|
||||
from .multiplicationFunc import *
|
||||
from .divisionFunc import *
|
||||
from .binaryComplement1sFunc import *
|
||||
from .moduloFunc import *
|
||||
from .squareRootFunc import *
|
||||
from .powerRuleDifferentiationFunc import *
|
||||
from .squareFunc import *
|
||||
from .gcdFunc import *
|
||||
from .lcmFunc import *
|
||||
from .basicAlgebraFunc import *
|
||||
from .logFunc import *
|
||||
from .divisionToIntFunc import *
|
||||
from .DecimalToBinaryFunc import *
|
||||
from .BinaryToDecimalFunc import *
|
||||
from .divideFractionsFunc import *
|
||||
from .multiplyIntToMatrix22 import *
|
||||
from .areaOfTriangleFunc import *
|
||||
from .isTriangleValidFunc import *
|
||||
from .MidPointOfTwoPointFunc import *
|
||||
from .factoringFunc import *
|
||||
from .thirdAngleOfTriangleFunc import *
|
||||
from .systemOfEquationsFunc import *
|
||||
from .distanceTwoPointsFunc import *
|
||||
from .pythagoreanTheoremFunc import *
|
||||
from .linearEquationsFunc import *
|
||||
from .primeFactorsFunc import *
|
||||
from .multiplyFractionsFunc import *
|
||||
from .regularPolygonAngleFunc import *
|
||||
from .combinationsFunc import *
|
||||
from .factorialFunc import *
|
||||
from .surfaceAreaCube import *
|
||||
from .volumeCube import *
|
||||
from .surfaceAreaCuboid import *
|
||||
from .volumeCuboid import *
|
||||
from .surfaceAreaCylinder import *
|
||||
from .volumeCylinder import *
|
||||
from .surfaceAreaCone import *
|
||||
from .volumeCone import *
|
||||
from .commonFactorsFunc import *
|
||||
from .intersectionOfTwoLinesFunc import *
|
||||
from .permutationFunc import *
|
||||
from .vectorCrossFunc import *
|
||||
from .compareFractionsFunc import *
|
||||
from .simpleInterestFunc import *
|
||||
from .matrixMultiplicationFunc import *
|
||||
from .cubeRootFunc import *
|
||||
from .powerRuleIntegrationFunc import *
|
||||
from .fourthAngleOfQuadriFunc import *
|
||||
from .quadraticEquation import *
|
||||
from .hcfFunc import *
|
||||
from .DiceSumProbFunc import *
|
||||
from .exponentiationFunc import *
|
||||
from .confidenceIntervalFunc import *
|
||||
from .surdsComparisonFunc import *
|
||||
from .fibonacciSeriesFunc import *
|
||||
from .basicTrigonometryFunc import *
|
||||
from .sumOfAnglesOfPolygonFunc import *
|
||||
from .dataSummaryFunc import *
|
||||
from .surfaceAreaSphere import *
|
||||
from .volumeSphereFunc import *
|
||||
from .nthFibonacciNumberFunc import *
|
||||
from .profitLossPercentFunc import *
|
||||
from .binaryToHexFunc import *
|
||||
from .multiplyComplexNumbersFunc import *
|
||||
from .geomProgrFunc import *
|
||||
from .geometricMeanFunc import *
|
||||
from .harmonicMeanFunc import *
|
||||
from .euclidianNormFunc import *
|
||||
from .angleBtwVectorsFunc import *
|
||||
from .absoluteDifferenceFunc import *
|
||||
from .vectorDotFunc import *
|
||||
from .binary2sComplement import *
|
||||
from .matrixInversion import *
|
||||
from .sectorAreaFunc import *
|
||||
from .meanMedianFunc import *
|
||||
from .determinantToMatrix22 import *
|
||||
from .compoundInterestFunc import *
|
||||
from .deciToHexaFunc import *
|
||||
from .percentageFunc import *
|
||||
from .celsiustofahrenheit import *
|
||||
from .subtraction import *
|
||||
from .multiplication import *
|
||||
from .division import *
|
||||
from .binary_complement_1s import *
|
||||
from .modulo_division import *
|
||||
from .square_root import *
|
||||
from .power_rule_differentiation import *
|
||||
from .square import *
|
||||
from .lcm import *
|
||||
from .gcd import *
|
||||
from .basic_algebra import *
|
||||
from .log import *
|
||||
from .int_division import *
|
||||
from .decimal_to_binary import *
|
||||
from .binary_to_decimal import *
|
||||
from .divide_fractions import *
|
||||
from .multiply_int_to_22_matrix import *
|
||||
from .area_of_triangle import *
|
||||
from .valid_triangle import *
|
||||
from .midpoint_of_two_points import *
|
||||
from .factoring import *
|
||||
from .third_angle_of_triangle import *
|
||||
from .system_of_equations import *
|
||||
from .distance_two_points import *
|
||||
from .pythagorean_theorem import *
|
||||
from .linear_equations import *
|
||||
from .prime_factors import *
|
||||
from .fraction_multiplication import *
|
||||
from .angle_regular_polygon import *
|
||||
from .combinations import *
|
||||
from .factorial import *
|
||||
from .surface_area_cube import *
|
||||
from .surface_area_cuboid import *
|
||||
from .surface_area_cylinder import *
|
||||
from .volume_cube import *
|
||||
from .volume_cuboid import *
|
||||
from .volume_cylinder import *
|
||||
from .surface_area_cone import *
|
||||
from .volume_cone import *
|
||||
from .common_factors import *
|
||||
from .intersection_of_two_lines import *
|
||||
from .permutation import *
|
||||
from .vector_cross import *
|
||||
from .compare_fractions import *
|
||||
from .simple_interest import *
|
||||
from .matrix_multiplication import *
|
||||
from .cube_root import *
|
||||
from .power_rule_integration import *
|
||||
from .fourth_angle_of_quadrilateral import *
|
||||
from .quadratic_equation import *
|
||||
from .hcf import *
|
||||
from .dice_sum_probability import *
|
||||
from .exponentiation import *
|
||||
from .confidence_interval import *
|
||||
from .surds_comparison import *
|
||||
from .fibonacci_series import *
|
||||
from .basic_trigonometry import *
|
||||
from .sum_of_polygon_angles import *
|
||||
from .data_summary import *
|
||||
from .surface_area_sphere import *
|
||||
from .volume_sphere import *
|
||||
from .nth_fibonacci_number import *
|
||||
from .profit_loss_percent import *
|
||||
from .binary_to_hex import *
|
||||
from .multiply_complex_numbers import *
|
||||
from .geometric_progression import *
|
||||
from .geometric_mean import *
|
||||
from .harmonic_mean import *
|
||||
from .euclidian_norm import *
|
||||
from .angle_btw_vectors import *
|
||||
from .absolute_difference import *
|
||||
from .vector_dot import *
|
||||
from .binary_2s_complement import *
|
||||
from .invert_matrix import *
|
||||
from .sector_area import *
|
||||
from .mean_median import *
|
||||
from .int_matrix_22_determinant import *
|
||||
from .compound_interest import *
|
||||
from .decimal_to_hexadeci import *
|
||||
from .percentage import *
|
||||
from .celsius_to_fahrenheit import *
|
||||
from .arithmetic_progression_term import *
|
||||
from .arithmetic_progression_sum import *
|
||||
from .decimal_to_octal import *
|
||||
from .decimal_to_roman_numerals import *
|
||||
from .degree_to_rad import *
|
||||
from .radian_to_deg import *
|
||||
from .differentiation import *
|
||||
from .definite_integral import *
|
||||
from .is_prime import *
|
||||
|
||||
@@ -10,3 +10,9 @@ def absoluteDifferenceFunc(maxA=100, maxB=100):
|
||||
str(a) + " and " + str(b) + " = "
|
||||
solution = absDiff
|
||||
return problem, solution
|
||||
|
||||
|
||||
absolute_difference = Generator(
|
||||
"Absolute difference between two numbers", 71,
|
||||
"Absolute difference betweeen two numbers a and b =", "|a-b|",
|
||||
absoluteDifferenceFunc)
|
||||
@@ -1,5 +1,4 @@
|
||||
from .__init__ import *
|
||||
from ..__init__ import Generator
|
||||
|
||||
|
||||
def additionFunc(maxSum=99, maxAddend=50):
|
||||
|
||||
@@ -1,16 +0,0 @@
|
||||
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
|
||||
28
mathgenerator/funcs/angle_btw_vectors.py
Normal file
28
mathgenerator/funcs/angle_btw_vectors.py
Normal file
@@ -0,0 +1,28 @@
|
||||
from .__init__ import *
|
||||
import math
|
||||
|
||||
|
||||
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:
|
||||
s += i * j
|
||||
|
||||
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 = ''
|
||||
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
|
||||
|
||||
|
||||
angle_btw_vectors = 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)
|
||||
@@ -8,3 +8,9 @@ def regularPolygonAngleFunc(minVal=3, maxVal=20):
|
||||
exteriorAngle = round((360 / sideNum), 2)
|
||||
solution = 180 - exteriorAngle
|
||||
return problem, solution
|
||||
|
||||
|
||||
angle_regular_polygon = Generator(
|
||||
"Angle of a Regular Polygon", 29,
|
||||
"Find the angle of a regular polygon with 6 sides", "120",
|
||||
regularPolygonAngleFunc)
|
||||
@@ -13,3 +13,8 @@ def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
|
||||
str(a) + " " + str(b) + " " + str(c) + " = "
|
||||
solution = area
|
||||
return problem, solution
|
||||
|
||||
|
||||
area_of_triangle = Generator("Area of Triangle", 18,
|
||||
"Area of Triangle with side lengths a, b, c = ",
|
||||
"area", areaOfTriangleFunc)
|
||||
18
mathgenerator/funcs/arithmetic_progression_sum.py
Normal file
18
mathgenerator/funcs/arithmetic_progression_sum.py
Normal file
@@ -0,0 +1,18 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
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
|
||||
|
||||
|
||||
arithmetic_progression_sum = Generator("AP Sum Calculation", 83,
|
||||
"Find the sum of first n terms of the AP series: a1, a2, a3 ...",
|
||||
"Sum", arithmeticProgressionSumFunc)
|
||||
18
mathgenerator/funcs/arithmetic_progression_term.py
Normal file
18
mathgenerator/funcs/arithmetic_progression_term.py
Normal file
@@ -0,0 +1,18 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
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
|
||||
|
||||
|
||||
arithmetic_progression_term = Generator("AP Term Calculation", 82,
|
||||
"Find the term number n of the AP series: a1, a2, a3 ...",
|
||||
"a-n", arithmeticProgressionTermFunc)
|
||||
@@ -23,3 +23,7 @@ def basicAlgebraFunc(maxVariable=10):
|
||||
problem = f"{a}x + {b} = {c}"
|
||||
solution = x
|
||||
return problem, solution
|
||||
|
||||
|
||||
basic_algebra = Generator("Basic Algebra", 11, "ax + b = c", "d",
|
||||
basicAlgebraFunc)
|
||||
@@ -23,3 +23,7 @@ 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
|
||||
|
||||
|
||||
basic_trigonometry = Generator("Trigonometric Values", 57, "What is sin(X)?",
|
||||
"ans", basicTrigonometryFunc)
|
||||
@@ -26,3 +26,8 @@ def binary2sComplementFunc(maxDigits=10):
|
||||
problem = "2's complement of " + question + " ="
|
||||
solution = ''.join(answer).lstrip('0')
|
||||
return problem, solution
|
||||
|
||||
|
||||
binary_2s_complement = Generator("Binary 2's Complement", 73,
|
||||
"2's complement of 11010110 =", "101010",
|
||||
binary2sComplementFunc)
|
||||
@@ -13,3 +13,7 @@ def binaryComplement1sFunc(maxDigits=10):
|
||||
problem = question + "="
|
||||
solution = answer
|
||||
return problem, solution
|
||||
|
||||
|
||||
binary_complement_1s = Generator("Binary Complement 1s", 4, "1010=", "0101",
|
||||
binaryComplement1sFunc)
|
||||
@@ -1,7 +1,7 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def BinaryToDecimalFunc(max_dig=10):
|
||||
def binaryToDecimalFunc(max_dig=10):
|
||||
problem = ''
|
||||
|
||||
for i in range(random.randint(1, max_dig)):
|
||||
@@ -10,3 +10,7 @@ def BinaryToDecimalFunc(max_dig=10):
|
||||
|
||||
solution = int(problem, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
binary_to_decimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b",
|
||||
binaryToDecimalFunc)
|
||||
@@ -9,3 +9,7 @@ def binaryToHexFunc(max_dig=10):
|
||||
|
||||
solution = hex(int(problem, 2))
|
||||
return problem, solution
|
||||
|
||||
|
||||
binary_to_hex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b",
|
||||
binaryToHexFunc)
|
||||
@@ -1,5 +1,4 @@
|
||||
from .__init__ import *
|
||||
from ..__init__ import Generator
|
||||
|
||||
|
||||
def celsiustofahrenheitFunc(maxTemp=100):
|
||||
@@ -10,5 +9,5 @@ def celsiustofahrenheitFunc(maxTemp=100):
|
||||
return problem, solution
|
||||
|
||||
|
||||
celsiustofahrenheit = Generator("Celsius To Fahrenheit", 81,
|
||||
celsius_to_fahrenheit = Generator("Celsius To Fahrenheit", 81,
|
||||
"(C +(9/5))+32=", "F", celsiustofahrenheitFunc)
|
||||
@@ -17,3 +17,9 @@ 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)
|
||||
@@ -22,3 +22,8 @@ def commonFactorsFunc(maxVal=100):
|
||||
problem = f"Common Factors of {a} and {b} = "
|
||||
solution = arr
|
||||
return problem, solution
|
||||
|
||||
|
||||
common_factors = Generator("Common Factors", 40,
|
||||
"Common Factors of {a} and {b} = ", "[c, d, ...]",
|
||||
commonFactorsFunc)
|
||||
@@ -24,3 +24,9 @@ def compareFractionsFunc(maxVal=10):
|
||||
|
||||
problem = f"Which symbol represents the comparison between {a}/{b} and {c}/{d}?"
|
||||
return problem, solution
|
||||
|
||||
|
||||
compare_fractions = Generator(
|
||||
"Compare Fractions", 44,
|
||||
"Which symbol represents the comparison between a/b and c/d?", ">/</=",
|
||||
compareFractionsFunc)
|
||||
@@ -16,3 +16,9 @@ def compoundInterestFunc(maxPrinciple=10000,
|
||||
t) + " compounded monthly is = "
|
||||
solution = round(A, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
compound_interest = 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)
|
||||
@@ -29,3 +29,8 @@ def confidenceIntervalFunc():
|
||||
[x for x in lst], lst_per[j])
|
||||
solution = '({}, {})'.format(mean + standard_error, mean - standard_error)
|
||||
return problem, solution
|
||||
|
||||
|
||||
confidence_interval = Generator("Confidence interval For sample S", 54,
|
||||
"With X% confidence", "is (A,B)",
|
||||
confidenceIntervalFunc)
|
||||
@@ -8,3 +8,7 @@ def cubeRootFunc(minNo=1, maxNo=1000):
|
||||
problem = "cuberoot of " + str(b) + " upto 2 decimal places is:"
|
||||
solution = str(round(a, 2))
|
||||
return problem, solution
|
||||
|
||||
|
||||
cube_root = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is",
|
||||
"b", cubeRootFunc)
|
||||
@@ -15,14 +15,15 @@ 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
|
||||
|
||||
|
||||
data_summary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c",
|
||||
"Mean:a+b+c/3,Std,Var", dataSummaryFunc)
|
||||
@@ -9,3 +9,7 @@ def DecimalToBinaryFunc(max_dec=99):
|
||||
solution = str(b)
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
decimal_to_binary = Generator("Decimal to Binary", 14, "Binary of a=", "b",
|
||||
DecimalToBinaryFunc)
|
||||
@@ -8,3 +8,7 @@ def deciToHexaFunc(max_dec=1000):
|
||||
solution = str(b)
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
decimal_to_hexadeci = Generator("Decimal to Hexadecimal", 79, "Binary of a=",
|
||||
"b", deciToHexaFunc)
|
||||
12
mathgenerator/funcs/decimal_to_octal.py
Normal file
12
mathgenerator/funcs/decimal_to_octal.py
Normal 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
|
||||
|
||||
|
||||
decimal_to_octal = Generator("Converts decimal to octal", 84,
|
||||
"What's the octal representation of 98?", "0o142", decimalToOctalFunc)
|
||||
29
mathgenerator/funcs/decimal_to_roman_numerals.py
Normal file
29
mathgenerator/funcs/decimal_to_roman_numerals.py
Normal 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
|
||||
|
||||
|
||||
decimal_to_roman_numerals = Generator("Converts decimal to Roman Numerals",
|
||||
85, "Convert 20 into Roman Numerals", "XX", decimalToRomanNumeralsFunc)
|
||||
27
mathgenerator/funcs/definite_integral.py
Normal file
27
mathgenerator/funcs/definite_integral.py
Normal file
@@ -0,0 +1,27 @@
|
||||
from .__init__ import *
|
||||
import scipy
|
||||
from scipy.integrate import quad
|
||||
|
||||
|
||||
def definiteIntegralFunc(max_coeff=100):
|
||||
|
||||
def integrand(x, a, b, c):
|
||||
return a * x ** 2 + b * x + c
|
||||
|
||||
a = random.randint(0, max_coeff)
|
||||
b = random.randint(0, max_coeff)
|
||||
c = random.randint(0, max_coeff)
|
||||
|
||||
result = quad(integrand, 0, 1, args=(a, b, c))[0]
|
||||
S = round(result, 4)
|
||||
|
||||
problem = "The definite integral within limits 0 to 1 of the equation " + \
|
||||
str(a) + "x^2 + " + str(b) + "x + " + str(c) + " is = "
|
||||
|
||||
solution = str(S)
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
definite_integral = Generator("Definite Integral of Quadratic Equation", 89,
|
||||
"The definite integral within limits 0 to 1 of quadratic equation ax^2+bx+c is = ", "S", definiteIntegralFunc)
|
||||
17
mathgenerator/funcs/degree_to_rad.py
Normal file
17
mathgenerator/funcs/degree_to_rad.py
Normal file
@@ -0,0 +1,17 @@
|
||||
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
|
||||
|
||||
|
||||
degree_to_rad = Generator("Degrees to Radians", 86,
|
||||
"Angle a in radians is = ", "b", degreeToRadFunc)
|
||||
@@ -24,3 +24,9 @@ def DiceSumProbFunc(maxDice=3):
|
||||
a, b)
|
||||
solution = "{}/{}".format(count, 6**a)
|
||||
return problem, solution
|
||||
|
||||
|
||||
dice_sum_probability = 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)
|
||||
53
mathgenerator/funcs/differentiation.py
Normal file
53
mathgenerator/funcs/differentiation.py
Normal file
@@ -0,0 +1,53 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def genDifferentiationProblem(diff_lvl):
|
||||
problem = ''
|
||||
|
||||
types = {
|
||||
'Logrithmic': ['ln'],
|
||||
'Trigonometric': ['sin', 'cos', 'tan', 'cot', 'sec'],
|
||||
'Exponentional': ['exp']
|
||||
}
|
||||
|
||||
if diff_lvl == 1:
|
||||
coeff = random.randrange(2, 10)
|
||||
power = random.randint(2, 4)
|
||||
flag = random.random()
|
||||
if flag > 0.5:
|
||||
power *= -1
|
||||
problem += str(coeff) + '*x^' + '(' + str(power) + ')'
|
||||
else:
|
||||
problem += str(coeff) + '*x^' + str(power)
|
||||
if diff_lvl == 2:
|
||||
func_type = random.choices(list(types.keys()), weights=(1, 4, 1))[0]
|
||||
func = random.choice(types[func_type])
|
||||
problem += func + '(x)' + '+' + genDifferentiationProblem(1)
|
||||
if diff_lvl == 3:
|
||||
func_type = random.choices(list(types.keys()), weights=(1, 4, 1))[0]
|
||||
func = random.choice(types[func_type])
|
||||
problem += func + '(' + genDifferentiationProblem(1) + ')'
|
||||
if diff_lvl == 4:
|
||||
operator = random.choice(('/', '*'))
|
||||
problem = '(' + genDifferentiationProblem(2) + ')' + \
|
||||
operator + '(' + genDifferentiationProblem(3) + ')'
|
||||
|
||||
return problem
|
||||
|
||||
|
||||
def differentiationFunc(diff_lvl=2):
|
||||
if diff_lvl < 1 or diff_lvl > 4:
|
||||
print("diff_lvl not supported")
|
||||
return None
|
||||
problem = genDifferentiationProblem(diff_lvl)
|
||||
|
||||
x = sympy.symbols('x')
|
||||
solution = str(sympy.diff(problem.replace('^', '**'), x))
|
||||
solution = solution.replace('**', '^')
|
||||
problem = f"differentiate w.r.t x : d({problem})/dx"
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
differentiation = Generator(
|
||||
"Differentiation", 88, "differentiate w.r.t x : d(f(x))/dx", "g(x)", differentiationFunc)
|
||||
@@ -12,3 +12,8 @@ def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
|
||||
solution = f"sqrt({distanceSq})"
|
||||
problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})"
|
||||
return problem, solution
|
||||
|
||||
|
||||
distance_two_points = Generator("Distance between 2 points", 24,
|
||||
"Find the distance between (x1,y1) and (x2,y2)",
|
||||
"sqrt(distanceSquared)", distanceTwoPointsFunc)
|
||||
@@ -30,3 +30,7 @@ def divideFractionsFunc(maxVal=10):
|
||||
problem = f"({a}/{b})/({c}/{d})"
|
||||
solution = x
|
||||
return problem, solution
|
||||
|
||||
|
||||
divide_fractions = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y",
|
||||
divideFractionsFunc)
|
||||
@@ -9,3 +9,6 @@ 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)
|
||||
@@ -1,7 +0,0 @@
|
||||
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
|
||||
13
mathgenerator/funcs/euclidian_norm.py
Normal file
13
mathgenerator/funcs/euclidian_norm.py
Normal file
@@ -0,0 +1,13 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
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
|
||||
|
||||
|
||||
eucldian_norm = 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)
|
||||
@@ -8,3 +8,7 @@ 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)
|
||||
@@ -13,3 +13,6 @@ def factorialFunc(maxInput=6):
|
||||
n -= 1
|
||||
solution = str(b)
|
||||
return problem, solution
|
||||
|
||||
|
||||
factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc)
|
||||
@@ -27,3 +27,7 @@ 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)
|
||||
@@ -19,3 +19,8 @@ def fibonacciSeriesFunc(minNo=1):
|
||||
problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?"
|
||||
solution = fibList
|
||||
return problem, solution
|
||||
|
||||
|
||||
fibonacci_series = Generator(
|
||||
"Fibonacci Series", 56, "fibonacci series of first a numbers",
|
||||
"prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc)
|
||||
@@ -12,3 +12,9 @@ def fourthAngleOfQuadriFunc(maxAngle=180):
|
||||
problem = f"Fourth angle of quadrilateral with angles {angle1} , {angle2}, {angle3} ="
|
||||
solution = angle4
|
||||
return problem, solution
|
||||
|
||||
|
||||
fourth_angle_of_quadrilateral = Generator(
|
||||
"Fourth Angle of Quadrilateral", 49,
|
||||
"Fourth angle of Quadrilateral with angles a,b,c =", "angle4",
|
||||
fourthAngleOfQuadriFunc)
|
||||
@@ -30,3 +30,8 @@ def multiplyFractionsFunc(maxVal=10):
|
||||
problem = f"({a}/{b})*({c}/{d})"
|
||||
solution = x
|
||||
return problem, solution
|
||||
|
||||
|
||||
fraction_multiplication = Generator("Fraction Multiplication", 28,
|
||||
"(a/b)*(c/d)=", "x/y",
|
||||
multiplyFractionsFunc)
|
||||
@@ -10,3 +10,7 @@ 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)
|
||||
@@ -25,3 +25,8 @@ 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
|
||||
|
||||
|
||||
geometric_mean = Generator("Geometric Mean of N Numbers", 67,
|
||||
"Geometric mean of n numbers A1 , A2 , ... , An = ",
|
||||
"(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)
|
||||
@@ -21,3 +21,9 @@ 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
|
||||
|
||||
|
||||
geometric_progression = Generator(
|
||||
"Geometric Progression", 66,
|
||||
"Initial value,Common Ratio,nth Term,Sum till nth term =",
|
||||
"a,r,ar^n-1,sum(ar^n-1", geomProgrFunc)
|
||||
@@ -26,3 +26,9 @@ 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
|
||||
|
||||
|
||||
harmonic_mean = Generator("Harmonic Mean of N Numbers", 68,
|
||||
"Harmonic mean of n numbers A1 , A2 , ... , An = ",
|
||||
" n/((1/A1) + (1/A2) + ... + (1/An)) = ans",
|
||||
harmonicMeanFunc)
|
||||
@@ -10,3 +10,7 @@ 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)
|
||||
@@ -11,3 +11,6 @@ def divisionToIntFunc(maxA=25, maxB=25):
|
||||
problem = f"{divisor}/{dividend} = "
|
||||
solution = int(divisor / dividend)
|
||||
return problem, solution
|
||||
|
||||
|
||||
int_division = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)
|
||||
@@ -11,3 +11,8 @@ def determinantToMatrix22(maxMatrixVal=100):
|
||||
problem = f"Det([[{a}, {b}], [{c}, {d}]]) = "
|
||||
solution = f" {determinant}"
|
||||
return problem, solution
|
||||
|
||||
|
||||
int_matrix_22_determinant = Generator("Determinant to 2x2 Matrix", 77,
|
||||
"Det([[a,b],[c,d]]) =", " a * d - b * c",
|
||||
determinantToMatrix22)
|
||||
@@ -64,3 +64,9 @@ def intersectionOfTwoLinesFunc(minM=-10,
|
||||
solution = f"({fractionToString(intersection_x)}, {fractionToString(intersection_y)})"
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
intersection_of_two_lines = 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)
|
||||
@@ -76,3 +76,7 @@ def matrixInversion(SquareMatrixDimension=3,
|
||||
problem = 'Inverse of Matrix ' + str(Mat) + ' is:'
|
||||
solution = str(sympy.Matrix.inv(Mat))
|
||||
return problem, solution
|
||||
|
||||
|
||||
invert_matrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is",
|
||||
"A^(-1)", matrixInversion)
|
||||
22
mathgenerator/funcs/is_prime.py
Normal file
22
mathgenerator/funcs/is_prime.py
Normal file
@@ -0,0 +1,22 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def isprime(max_a=100):
|
||||
a = random.randint(2, max_a)
|
||||
problem = a
|
||||
if a == 2:
|
||||
solution = True
|
||||
return (problem, solution)
|
||||
if a % 2 == 0:
|
||||
solution = False
|
||||
return (problem, solution)
|
||||
for i in range(3, a // 2 + 1, 2):
|
||||
if a % i == 0:
|
||||
solution = False
|
||||
return (problem, solution)
|
||||
solution = True
|
||||
return (problem, solution)
|
||||
|
||||
|
||||
is_prime = Generator('isprime', 90, 'a any positive integer',
|
||||
'True/False', isprime)
|
||||
@@ -15,3 +15,7 @@ def lcmFunc(maxVal=20):
|
||||
solution = str(d)
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c",
|
||||
lcmFunc)
|
||||
@@ -25,5 +25,10 @@ def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
|
||||
prob = " + ".join(prob) + " = " + str(res)
|
||||
problem.append(prob)
|
||||
|
||||
problem = "\n".join(problem)
|
||||
# problem = "\n".join(problem)
|
||||
problem = ", ".join(problem)
|
||||
return problem, solution
|
||||
|
||||
|
||||
linear_equations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12",
|
||||
"x=-20 & y=12", linearEquationsFunc)
|
||||
@@ -10,3 +10,6 @@ def logFunc(maxBase=3, maxVal=8):
|
||||
solution = str(a)
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
log = Generator("Logarithm", 12, "log2(8)", "3", logFunc)
|
||||
@@ -1,10 +1,10 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
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 +51,8 @@ def matrixMultiplicationFuncHelper(inp):
|
||||
string += "]]"
|
||||
|
||||
return string
|
||||
|
||||
|
||||
matrix_multiplication = Generator("Multiplication of two matrices", 46,
|
||||
"Multiply two matrices A and B", "C",
|
||||
matrixMultiplicationFunc)
|
||||
@@ -12,3 +12,8 @@ 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
|
||||
|
||||
|
||||
mean_median = Generator("Mean and Median", 76,
|
||||
"Mean and median of given set of numbers",
|
||||
"Mean, Median", meanMedianFunc)
|
||||
@@ -10,3 +10,8 @@ def MidPointOfTwoPointFunc(maxValue=20):
|
||||
problem = f"({x1},{y1}),({x2},{y2})="
|
||||
solution = f"({(x1+x2)/2},{(y1+y2)/2})"
|
||||
return problem, solution
|
||||
|
||||
|
||||
midPoint_of_two_points = Generator("Midpoint of the two point", 20,
|
||||
"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)",
|
||||
MidPointOfTwoPointFunc)
|
||||
@@ -9,3 +9,6 @@ def moduloFunc(maxRes=99, maxModulo=99):
|
||||
problem = str(a) + "%" + str(b) + "="
|
||||
solution = str(c)
|
||||
return problem, solution
|
||||
|
||||
|
||||
modulo_division = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc)
|
||||
18
mathgenerator/funcs/multiplication.py
Normal file
18
mathgenerator/funcs/multiplication.py
Normal file
@@ -0,0 +1,18 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
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)
|
||||
@@ -1,11 +0,0 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def multiplicationFunc(maxRes=99, maxMulti=99):
|
||||
a = random.randint(0, maxMulti)
|
||||
b = random.randint(0, min(int(maxMulti / a), maxRes))
|
||||
c = a * b
|
||||
|
||||
problem = str(a) + "*" + str(b) + "="
|
||||
solution = str(c)
|
||||
return problem, solution
|
||||
@@ -10,3 +10,8 @@ def multiplyComplexNumbersFunc(minRealImaginaryNum=-20,
|
||||
problem = f"{num1} * {num2} = "
|
||||
solution = num1 * num2
|
||||
return problem, solution
|
||||
|
||||
|
||||
multiply_complex_numbers = Generator("Multiplication of 2 complex numbers", 65,
|
||||
"(x + j) (y + j) = ", "xy + xj + yj -1",
|
||||
multiplyComplexNumbersFunc)
|
||||
@@ -11,3 +11,9 @@ 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
|
||||
|
||||
|
||||
multiply_int_to_22_matrix = Generator("Integer Multiplication with 2x2 Matrix",
|
||||
17, "k * [[a,b],[c,d]]=",
|
||||
"[[k*a,k*b],[k*c,k*d]]",
|
||||
multiplyIntToMatrix22)
|
||||
@@ -8,3 +8,8 @@ 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
|
||||
|
||||
|
||||
nth_fibonacci_number = Generator("nth Fibonacci number", 62,
|
||||
"What is the nth Fibonacci number", "Fn",
|
||||
nthFibonacciNumberFunc)
|
||||
@@ -9,3 +9,7 @@ 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)
|
||||
@@ -9,3 +9,9 @@ def permutationFunc(maxlength=20):
|
||||
problem = "Number of Permutations from {} objects picked {} at a time = ".format(
|
||||
a, b)
|
||||
return problem, solution
|
||||
|
||||
|
||||
permutation = Generator(
|
||||
"Permutations", 42,
|
||||
"Total permutations of 4 objects at a time from 10 objects is", "5040",
|
||||
permutationFunc)
|
||||
@@ -16,3 +16,8 @@ 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
|
||||
|
||||
|
||||
power_rule_differentiation = Generator("Power Rule Differentiation", 7, "nx^m=",
|
||||
"(n*m)x^(m-1)",
|
||||
powerRuleDifferentiationFunc)
|
||||
@@ -19,3 +19,7 @@ def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
|
||||
|
||||
solution += " + c"
|
||||
return problem, solution
|
||||
|
||||
|
||||
power_rule_integration = Generator("Power Rule Integration", 48, "nx^m=",
|
||||
"(n/m)x^(m+1)", powerRuleIntegrationFunc)
|
||||
@@ -20,3 +20,7 @@ def primeFactorsFunc(minVal=1, maxVal=200):
|
||||
problem = f"Find prime factors of {a}"
|
||||
solution = f"{factors}"
|
||||
return problem, solution
|
||||
|
||||
|
||||
prime_factors = Generator("Prime Factorisation", 27, "Prime Factors of a =",
|
||||
"[b, c, d, ...]", primeFactorsFunc)
|
||||
@@ -14,3 +14,9 @@ def profitLossPercentFunc(maxCP=1000, maxSP=1000):
|
||||
solution = percent
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
profit_loss_percent = Generator(
|
||||
"Profit or Loss Percent", 63,
|
||||
"Profit/ Loss percent when CP = cp and SP = sp is: ", "percent",
|
||||
profitLossPercentFunc)
|
||||
@@ -9,3 +9,9 @@ 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
|
||||
|
||||
|
||||
pythagorean_theorem = Generator(
|
||||
"Pythagorean Theorem", 25,
|
||||
"The hypotenuse of a right triangle given the other two lengths a and b = ",
|
||||
"hypotenuse", pythagoreanTheoremFunc)
|
||||
@@ -13,3 +13,9 @@ def quadraticEquation(maxVal=100):
|
||||
[round((-b + D) / (2 * a), 2),
|
||||
round((-b - D) / (2 * a), 2)])
|
||||
return problem, solution
|
||||
|
||||
|
||||
quadratic_equation = Generator(
|
||||
"Quadratic Equation", 50,
|
||||
"Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2",
|
||||
quadraticEquation)
|
||||
18
mathgenerator/funcs/radian_to_deg.py
Normal file
18
mathgenerator/funcs/radian_to_deg.py
Normal file
@@ -0,0 +1,18 @@
|
||||
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
|
||||
|
||||
|
||||
radian_to_deg = Generator("Radians to Degrees", 87,
|
||||
"Angle a in degrees is = ", "b", radianToDegFunc)
|
||||
@@ -9,3 +9,8 @@ def sectorAreaFunc(maxRadius=49, maxAngle=359):
|
||||
formatted_float = "{:.5f}".format(secArea)
|
||||
solution = f"Area of sector = {formatted_float}"
|
||||
return problem, solution
|
||||
|
||||
|
||||
sector_area = Generator("Area of a Sector", 75,
|
||||
"Area of a sector with radius, r and angle, a ", "Area",
|
||||
sectorAreaFunc)
|
||||
@@ -13,3 +13,9 @@ def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
|
||||
c) + " years is = "
|
||||
solution = round(d, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
simple_interest = 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)
|
||||
@@ -8,3 +8,6 @@ def squareFunc(maxSquareNum=20):
|
||||
problem = str(a) + "^2" + "="
|
||||
solution = str(b)
|
||||
return problem, solution
|
||||
|
||||
|
||||
square = Generator("Square", 8, "a^2", "b", squareFunc)
|
||||
@@ -8,3 +8,6 @@ def squareRootFunc(minNo=1, maxNo=12):
|
||||
problem = "sqrt(" + str(a) + ")="
|
||||
solution = str(b)
|
||||
return problem, solution
|
||||
|
||||
|
||||
square_root = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc)
|
||||
@@ -9,3 +9,6 @@ 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)
|
||||
@@ -8,3 +8,8 @@ def sumOfAnglesOfPolygonFunc(maxSides=12):
|
||||
problem = f"Sum of angles of polygon with {side} sides = "
|
||||
solution = sum
|
||||
return problem, solution
|
||||
|
||||
|
||||
sum_of_polygon_angles = Generator("Sum of Angles of Polygon", 58,
|
||||
"Sum of angles of polygon with n sides = ",
|
||||
"sum", sumOfAnglesOfPolygonFunc)
|
||||
@@ -15,3 +15,8 @@ def surdsComparisonFunc(maxValue=100, maxRoot=10):
|
||||
elif first < second:
|
||||
solution = "<"
|
||||
return problem, solution
|
||||
|
||||
|
||||
surds_comparison = Generator("Comparing surds", 55,
|
||||
"Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=",
|
||||
surdsComparisonFunc)
|
||||
@@ -11,3 +11,9 @@ def surfaceAreaCone(maxRadius=20, maxHeight=50, unit='m'):
|
||||
|
||||
solution = f"{ans} {unit}^2"
|
||||
return problem, solution
|
||||
|
||||
|
||||
surface_area_cone = Generator(
|
||||
"Surface Area of cone", 38,
|
||||
"Surface area of cone with height = a units and radius = b units is",
|
||||
"c units^2", surfaceAreaCone)
|
||||
@@ -7,3 +7,8 @@ def surfaceAreaCube(maxSide=20, unit='m'):
|
||||
ans = 6 * a * a
|
||||
solution = f"{ans} {unit}^2"
|
||||
return problem, solution
|
||||
|
||||
|
||||
surface_area_cube = Generator("Surface Area of Cube", 32,
|
||||
"Surface area of cube with side a units is",
|
||||
"b units^2", surfaceAreaCube)
|
||||
@@ -10,3 +10,9 @@ def surfaceAreaCuboid(maxSide=20, unit='m'):
|
||||
ans = 2 * (a * b + b * c + c * a)
|
||||
solution = f"{ans} {unit}^2"
|
||||
return problem, solution
|
||||
|
||||
|
||||
surface_area_cuboid = Generator(
|
||||
"Surface Area of Cuboid", 33,
|
||||
"Surface area of cuboid with sides = a units, b units, c units is",
|
||||
"d units^2", surfaceAreaCuboid)
|
||||
@@ -9,3 +9,9 @@ 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
|
||||
|
||||
|
||||
surface_area_cylinder = Generator(
|
||||
"Surface Area of Cylinder", 34,
|
||||
"Surface area of cylinder with height = a units and radius = b units is",
|
||||
"c units^2", surfaceAreaCylinder)
|
||||
@@ -8,3 +8,9 @@ def surfaceAreaSphere(maxSide=20, unit='m'):
|
||||
ans = 4 * math.pi * r * r
|
||||
solution = f"{ans} {unit}^2"
|
||||
return problem, solution
|
||||
|
||||
|
||||
surface_area_sphere = Generator(
|
||||
"Surface Area of Sphere", 60,
|
||||
"Surface area of sphere with radius = a units is", "d units^2",
|
||||
surfaceAreaSphere)
|
||||
@@ -45,3 +45,8 @@ 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
|
||||
|
||||
|
||||
system_of_equations = Generator("Solve a System of Equations in R^2", 23,
|
||||
"2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3",
|
||||
systemOfEquationsFunc)
|
||||
@@ -9,3 +9,8 @@ def thirdAngleOfTriangleFunc(maxAngle=89):
|
||||
problem = f"Third angle of triangle with angles {angle1} and {angle2} = "
|
||||
solution = angle3
|
||||
return problem, solution
|
||||
|
||||
|
||||
third_angle_of_triangle = Generator("Third Angle of Triangle", 22,
|
||||
"Third Angle of the triangle = ", "angle3",
|
||||
thirdAngleOfTriangleFunc)
|
||||
@@ -18,3 +18,8 @@ def isTriangleValidFunc(maxSideLength=50):
|
||||
return problem, solution
|
||||
solution = "No"
|
||||
return problem, solution
|
||||
|
||||
|
||||
valid_triangle = Generator("Triangle exists check", 19,
|
||||
"Does triangle with sides a, b and c exist?",
|
||||
"Yes/No", isTriangleValidFunc)
|
||||
@@ -12,3 +12,7 @@ def vectorCrossFunc(minVal=-20, maxVal=20):
|
||||
problem = str(a) + " X " + str(b) + " = "
|
||||
solution = str(c)
|
||||
return problem, solution
|
||||
|
||||
|
||||
vector_cross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c",
|
||||
vectorCrossFunc)
|
||||
@@ -9,3 +9,7 @@ def vectorDotFunc(minVal=-20, maxVal=20):
|
||||
problem = str(a) + " . " + str(b) + " = "
|
||||
solution = str(c)
|
||||
return problem, solution
|
||||
|
||||
|
||||
vector_dot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c",
|
||||
vectorDotFunc)
|
||||
@@ -9,3 +9,9 @@ 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
|
||||
|
||||
|
||||
volume_cone = Generator(
|
||||
"Volume of cone", 39,
|
||||
"Volume of cone with height = a units and radius = b units is",
|
||||
"c units^3", volumeCone)
|
||||
@@ -8,3 +8,8 @@ def volumeCube(maxSide=20, unit='m'):
|
||||
ans = a * a * a
|
||||
solution = f"{ans} {unit}^3"
|
||||
return problem, solution
|
||||
|
||||
|
||||
volume_cube = Generator("Volum of Cube", 35,
|
||||
"Volume of cube with side a units is", "b units^3",
|
||||
volumeCube)
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user