mirror of
https://github.com/DeaDvey/mathgenerator.git
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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: ''
|
||||
|
||||
**Example Solution:**
|
||||
|
||||
**Further explanation:**
|
||||
**Further explanation (optional):**
|
||||
|
||||
**Would you like to be assigned to this:**
|
||||
|
||||
2
.github/workflows/python-publish.yml
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2
.github/workflows/python-publish.yml
vendored
@@ -1,5 +1,5 @@
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||||
# This workflows will upload a Python Package using Twine when a release is created
|
||||
# For more information see: https://help.github.com/en/actions/language-and-framework-guides/using-python-with-github-actions#publishing-to-package-registries
|
||||
# For more information see https://help.github.com/en/actions/language-and-framework-guides/using-python-with-github-actions#publishing-to-package-registries
|
||||
|
||||
name: Upload Python Package
|
||||
|
||||
|
||||
21
.github/workflows/tests.yaml
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21
.github/workflows/tests.yaml
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@@ -4,20 +4,29 @@ on: [push, pull_request]
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|
||||
jobs:
|
||||
build:
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||||
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||||
runs-on: ubuntu-latest
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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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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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python-version: "3.x"
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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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||||
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- name: Install Dependencies
|
||||
if: steps.cache.outputs.cache-hit != 'true'
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||||
run: make deps
|
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|
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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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10
Makefile
10
Makefile
@@ -1,11 +1,15 @@
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IGNORE_ERRORS = E501,F401,F403,F405
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PKG = mathgenerator
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PYTHON ?= python3
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deps:
|
||||
$(PYTHON) -m pip install --user -r dev-requirements.txt
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format:
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python -m autopep8 --ignore=$(IGNORE_ERRORS) -i $(PKG)/*
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$(PYTHON) -m autopep8 --ignore=$(IGNORE_ERRORS) -ir $(PKG)/*
|
||||
|
||||
lint:
|
||||
python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
|
||||
$(PYTHON) -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
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|
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test:
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||||
python -m pytest --verbose -s tests
|
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$(PYTHON) -m pytest --verbose -s tests
|
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172
README.md
172
README.md
@@ -31,76 +31,104 @@ 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 |
|
||||
| 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 |
|
||||
| 18 | Area of Triangle | Area of triangle with side lengths: 15 13 11 = | 69.62892717829278 | areaOfTriangle |
|
||||
| 19 | Triangle exists check | Does triangle with sides 35, 14 and 37 exist? | Yes | doesTriangleExist |
|
||||
| 20 | Midpoint of the two point | (15,5),(9,10)= | (12.0,7.5) | midPointOfTwoPoint |
|
||||
| 21 | Factoring Quadratic | x^2-12x+35 | (x-7)(x-5) | factoring |
|
||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 37 and 54 = | 89 | thirdAngleOfTriangle |
|
||||
| 23 | Solve a System of Equations in R^2 | -4x - 8y = 60, -9x + 10y = 51 | x = -9, y = -3 | systemOfEquations |
|
||||
| 24 | Distance between 2 points | Find the distance between (16, 7) and (19, 14) | sqrt(58) | distance2Point |
|
||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 8 = | 19.70 | pythagoreanTheorem |
|
||||
| 26 | Linear Equations | -8x + 15y = -109
|
||||
6x + -14y = 90 | x = 8, y = -3 | linearEquations |
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||||
| 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 |
|
||||
| 0 | Addition | 20+38= | 58 | addition |
|
||||
| 1 | Subtraction | 2-0= | 2 | subtraction |
|
||||
| 2 | Multiplication | 31*1= | 31 | multiplication |
|
||||
| 3 | Division | 53/7= | 7.571428571428571 | division |
|
||||
| 4 | Binary Complement 1s | 111= | 000 | binary_complement_1s |
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||||
| 5 | Modulo Division | 90%6= | 0 | modulo_division |
|
||||
| 6 | Square Root | sqrt(16)= | 4 | square_root |
|
||||
| 7 | Power Rule Differentiation | 7x^5 + 8x^10 + 4x^1 + 4x^5 + 7x^3 | 35x^4 + 80x^9 + 4x^0 + 20x^4 + 21x^2 | power_rule_differentiation |
|
||||
| 8 | Square | 9^2= | 81 | square |
|
||||
| 9 | LCM (Least Common Multiple) | LCM of 20 and 5 = | 20 | lcm |
|
||||
| 10 | GCD (Greatest Common Denominator) | GCD of 11 and 2 = | 1 | gcd |
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||||
| 11 | Basic Algebra | 10x + 4 = 8 | 2/5 | basic_algebra |
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||||
| 12 | Logarithm | log3(2187) | 7 | log |
|
||||
| 13 | Easy Division | 247/19 = | 13 | int_division |
|
||||
| 14 | Decimal to Binary | Binary of 13= | 1101 | decimal_to_binary |
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||||
| 15 | Binary to Decimal | 001 | 1 | binary_to_decimal |
|
||||
| 16 | Fraction Division | (6/9)/(4/2) | 1/3 | divide_fractions |
|
||||
| 17 | Integer Multiplication with 2x2 Matrix | 11 * [[5, 2], [0, 8]] = | [[55,22],[0,88]] | multiply_int_to_22_matrix |
|
||||
| 18 | Area of Triangle | Area of triangle with side lengths: 10 2 11 = | 9.051933495115836 | area_of_triangle |
|
||||
| 19 | Triangle exists check | Does triangle with sides 35, 7 and 11 exist? | No | valid_triangle |
|
||||
| 20 | Midpoint of the two point | (12,-4),(-4,9)= | (4.0,2.5) | midpoint_of_two_points |
|
||||
| 21 | Factoring Quadratic | x^2-3x-28 | (x-7)(x+4) | factoring |
|
||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 50 and 19 = | 111 | third_angle_of_triangle |
|
||||
| 23 | Solve a System of Equations in R^2 | -6x - 4y = -2, x + 10y = 47 | x = -3, y = 5 | system_of_equations |
|
||||
| 24 | Distance between 2 points | Find the distance between (16, 20) and (-9, 14) | sqrt(661) | distance_two_points |
|
||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 7 and 3 = | 7.62 | pythagorean_theorem |
|
||||
| 26 | Linear Equations | 14x + -10y = -26, 15x + -11y = -29 | x = 1, y = 4 | linear_equations |
|
||||
| 27 | Prime Factorisation | Find prime factors of 29 | [29] | prime_factors |
|
||||
| 28 | Fraction Multiplication | (3/7)*(10/3) | 10/7 | fraction_multiplication |
|
||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 18 sides | 160.0 | angle_regular_polygon |
|
||||
| 30 | Combinations of Objects | Number of combinations from 12 objects picked 5 at a time | 792 | combinations |
|
||||
| 31 | Factorial | 2! = | 2 | factorial |
|
||||
| 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surfaceAreaCubeGen |
|
||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 8m, 4m, 17m is | 472 m^2 | surfaceAreaCuboidGen |
|
||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 32m and radius = 18m is | 5654 m^2 | surfaceAreaCylinderGen |
|
||||
| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volumeCubeGen |
|
||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 14m, 19m, 1m is | 266 m^3 | volumeCuboidGen |
|
||||
| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 18m is | 16286 m^3 | volumeCylinderGen |
|
||||
| 38 | Surface Area of cone | Surface area of cone with height = 48m and radius = 20m is | 4523 m^2 | surfaceAreaConeGen |
|
||||
| 39 | Volume of cone | Volume of cone with height = 29m and radius = 6m is | 1093 m^3 | volumeConeGen |
|
||||
| 40 | Common Factors | Common Factors of 59 and 57 = | [1] | commonFactors |
|
||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -1/4x - 2 and y = 4/5x + 3 | (-100/21, -17/21) | intersectionOfTwoLines |
|
||||
| 42 | Permutations | Number of Permutations from 13 objects picked 8 at a time = | 51891840 | permutations |
|
||||
| 43 | Cross Product of 2 Vectors | [4, -11, 9] X [-8, -19, -5] = | [226, -52, -164] | vectorCross |
|
||||
| 44 | Compare Fractions | Which symbol represents the comparison between 3/7 and 2/4? | < | compareFractions |
|
||||
| 45 | Simple Interest | Simple interest for a principle amount of 2398 dollars, 9% rate of interest and for a time period of 5 years is = | 1079.1 | simpleInterest |
|
||||
| 46 | Multiplication of two matrices | Multiply <table><tr><td>-50</td><td>36</td><td>7</td><td>-26</td><td>-2</td><td>63</td></tr><tr><td>88</td><td>-37</td><td>60</td><td>-19</td><td>61</td><td>-56</td></tr><tr><td>48</td><td>-5</td><td>69</td><td>-87</td><td>-64</td><td>-92</td></tr><tr><td>-84</td><td>-50</td><td>-79</td><td>-19</td><td>86</td><td>-13</td></tr><tr><td>0</td><td>28</td><td>12</td><td>-14</td><td>73</td><td>-49</td></tr><tr><td>94</td><td>-90</td><td>2</td><td>26</td><td>-38</td><td>19</td></tr><tr><td>2</td><td>-11</td><td>79</td><td>-77</td><td>98</td><td>-77</td></tr><tr><td>-87</td><td>70</td><td>72</td><td>-32</td><td>64</td><td>-99</td></tr></table> and <table><tr><td>34</td><td>32</td><td>-6</td><td>-32</td><td>46</td><td>-23</td><td>78</td><td>-81</td><td>-18</td></tr><tr><td>-17</td><td>24</td><td>49</td><td>-62</td><td>-50</td><td>77</td><td>38</td><td>-98</td><td>-64</td></tr><tr><td>-23</td><td>-78</td><td>43</td><td> 5</td><td>-83</td><td>-5</td><td> 4</td><td>-92</td><td>-16</td></tr><tr><td> 46</td><td>-47</td><td>-92</td><td>52</td><td>-25</td><td>-37</td><td>44</td><td>51</td><td>-7</td></tr><tr><td> 20</td><td>26</td><td>70</td><td>37</td><td>96</td><td>-73</td><td>49</td><td>84</td><td>42</td></tr><tr><td>-72</td><td>-15</td><td>-80</td><td>-24</td><td>58</td><td>-47</td><td>-41</td><td>45</td><td>-69</td></tr></table>| <table><tr><td>-8245</td><td>-1057</td><td>-423</td><td>-3535</td><td>-569</td><td>2034</td><td>-6329</td><td>1219</td><td>-5765</td></tr><tr><td>6619</td><td> 567</td><td>10737</td><td>2391</td><td>4001</td><td>-6291</td><td>10147</td><td>-7387</td><td>6383</td></tr><tr><td>1472</td><td>-161</td><td>13318</td><td>-5565<td>-12574</td><td>10381</td><td> 638<td>-23699</td><td>2621</td></tr><tr><td>1593</td><td>5598</td><td>3465</td><td>7899</td><td>13170</td><td>-6487</td><td>-4857</td><td>24642</td><td>10618</td></tr><tr><td>3592</td><td>3027</td><td>12206</td><td>1473</td><td>2120</td><td>-412</td><td>6082</td><td>-635</td><td>4561</td></tr><tr><td>3748</td><td>-1803<td>-11460</td><td>2072</td><td>5462</td><td>-8183</td><td>2423</td><td>11</td><td> 947</td></tr><tr><td>2400</td><td> 960</td><td>22950</td><td>2483</td><td> 952</td><td>-1974</td><td>4625</td><td>-5512</td><td>9372</td></tr><tr><td>1132</td><td>-2067</td><td>22392</td><td>1884<td>-12276</td><td>8196</td><td>1949</td><td>-7148</td><td>5677</td></tr></table> | matrixMultiplication |
|
||||
[ 10584, 13902, 11916, -7446, 4430, 554]
|
||||
[ -1800, 6587, 14343, 6224, 4525, 4853]
|
||||
[-12452, -10675, -8693, 427, 2955, 17691]] | matrixMultiplication |
|
||||
| 47 | Cube Root | cuberoot of 221 upto 2 decimal places is: | 6.05 | CubeRoot |
|
||||
| 48 | Power Rule Integration | 4x^5 + 2x^5 + 9x^8 + 9x^5 | (4/5)x^6 + (2/5)x^6 + (9/8)x^9 + (9/5)x^6 + c | powerRuleIntegration |
|
||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 27 , 155, 116 = | 62 | fourthAngleOfQuadrilateral |
|
||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 53x^2+200x+78=0 | [-0.44, -3.33] | quadraticEquationSolve |
|
||||
| 51 | HCF (Highest Common Factor) | HCF of 7 and 4 = | 1 | hcf |
|
||||
| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 11 = | 2/36 | diceSumProbability |
|
||||
| 53 | Exponentiation | 9^10 = | 3486784401 | exponentiation |
|
||||
| 54 | Confidence interval For sample S | The confidence interval for sample [266, 201, 278, 209, 229, 275, 216, 234, 219, 276, 282, 281, 208, 247, 265, 273, 286, 202, 231, 207, 251, 203, 259, 288, 291, 260, 210, 263, 222] with 99% confidence is | (260.5668079141175, 231.29526105139982) | confidenceInterval |
|
||||
| 55 | Comparing surds | Fill in the blanks 15^(1/9) _ 55^(1/1) | < | surdsComparison |
|
||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacciSeries |
|
||||
| 57 | Trigonometric Values | What is tan(30)? | 1/√3 | basicTrigonometry |
|
||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sumOfAnglesOfPolygon |
|
||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[36, 13, 31, 23, 38, 34, 24, 20, 41, 14, 19, 31, 11, 49, 49] | The Mean is 28.866666666666667 , Standard Deviation is 143.5822222222222, Variance is 11.982579948501167 | dataSummary |
|
||||
| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surfaceAreaSphereGen |
|
||||
| 60 | Volume of Sphere | Volume of sphere with radius 73 m = | 1629510.5990953872 m^3 | volumeSphere |
|
||||
| 61 | nth Fibonacci number | What is the 68th Fibonacci number? | 72723460248141 | nthFibonacciNumberGen |
|
||||
| 62 | Profit or Loss Percent | Profit percent when CP = 825 and SP = 972 is: | 17.81818181818182 | profitLossPercent |
|
||||
| 63 | Binary to Hexidecimal | 100000 | 0x20 | binaryToHex |
|
||||
| 64 | Multiplication of 2 complex numbers | (3+14j) * (-3+16j) = | (-233+6j) | complexNumMultiply |
|
||||
| 65 | Geometric Progression | For the given GP [4, 16, 64, 256, 1024, 4096] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 4, common ratio is 4 , 8th term is 65536 , sum upto 7th term is 21844.0 | geometricprogression |
|
||||
| 66 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 81 , 35 and 99 = | (81*35*99)^(1/3) = 65.47307713912309 | geometricMean |
|
||||
| 67 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 99 and 25 = | 2/((1/99) + (1/25)) = 39.91935483870967 | harmonicMean |
|
||||
| 32 | Surface Area of Cube | Surface area of cube with side = 9m is | 486 m^2 | surface_area_cube |
|
||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 19m, 9m, 6m is | 678 m^2 | surface_area_cuboid |
|
||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 39m and radius = 6m is | 1696 m^2 | surface_area_cylinder |
|
||||
| 35 | Volum of Cube | Volume of cube with side = 14m is | 2744 m^3 | volume_cube |
|
||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 4m, 19m, 20m is | 1520 m^3 | volume_cuboid |
|
||||
| 37 | Volume of cylinder | Volume of cylinder with height = 27m and radius = 4m is | 1357 m^3 | volume_cylinder |
|
||||
| 38 | Surface Area of cone | Surface area of cone with height = 47m and radius = 15m is | 3031 m^2 | surface_area_cone |
|
||||
| 39 | Volume of cone | Volume of cone with height = 46m and radius = 1m is | 48 m^3 | volume_cone |
|
||||
| 40 | Common Factors | Common Factors of 5 and 89 = | [1] | common_factors |
|
||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -10x - 3 and y = -10/5x - 4 | (1/8, -17/4) | intersection_of_two_lines |
|
||||
| 42 | Permutations | Number of Permutations from 17 objects picked 6 at a time = | 8910720 | permutation |
|
||||
| 43 | Cross Product of 2 Vectors | [14, -7, -18] X [3, -16, 12] = | [-372, -222, -203] | vector_cross |
|
||||
| 44 | Compare Fractions | Which symbol represents the comparison between 6/7 and 2/1? | < | compare_fractions |
|
||||
| 45 | Simple Interest | Simple interest for a principle amount of 1752 dollars, 10% rate of interest and for a time period of 5 years is = | 876.0 | simple_interest |
|
||||
| 46 | Multiplication of two matrices | Multiply<table><tr><td>-2</td><td>7</td><td>-10</td></tr><tr><td>0</td><td>-4</td><td>-9</td></tr><tr><td>2</td><td>10</td><td>10</td></tr></table>and<table><tr><td>6</td><td>-6</td></tr><tr><td>-5</td><td>3</td></tr><tr><td>6</td><td>10</td></tr></table> | <table><tr><td>-107</td><td>-67</td></tr><tr><td>-34</td><td>-102</td></tr><tr><td>22</td><td>118</td></tr></table> | matrix_multiplication |
|
||||
| 47 | Cube Root | cuberoot of 212 upto 2 decimal places is: | 5.96 | cube_root |
|
||||
| 48 | Power Rule Integration | 4x^4 | (4/4)x^5 + c | power_rule_integration |
|
||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 81 , 131, 8 = | 140 | fourth_angle_of_quadrilateral |
|
||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 66x^2+177x+45=0 | [-0.28, -2.4] | quadratic_equation |
|
||||
| 51 | HCF (Highest Common Factor) | HCF of 8 and 10 = | 2 | 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 7 = | 6/36 | dice_sum_probability |
|
||||
| 53 | Exponentiation | 16^3 = | 4096 | exponentiation |
|
||||
| 54 | Confidence interval For sample S | The confidence interval for sample [240, 211, 206, 296, 223, 220, 264, 251, 245, 248, 207, 215, 277, 274, 297, 243, 278, 292, 256, 233, 266, 236, 270, 227, 209, 258, 298] with 99% confidence is | (263.9293815733304, 235.32987768592884) | confidence_interval |
|
||||
| 55 | Comparing surds | Fill in the blanks 63^(1/2) _ 37^(1/4) | > | surds_comparison |
|
||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 12 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89] | fibonacci_series |
|
||||
| 57 | Trigonometric Values | What is sin(0)? | 0 | basic_trigonometry |
|
||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 7 sides = | 900 | sum_of_polygon_angles |
|
||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[30, 21, 26, 36, 34, 7, 46, 21, 15, 29, 9, 33, 16, 28, 43] | The Mean is 26.266666666666666 , Standard Deviation is 123.39555555555556, Variance is 11.108355213781902 | data_summary |
|
||||
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 6m is | 452.3893421169302 m^2 | surface_area_sphere |
|
||||
| 61 | Volume of Sphere | Volume of sphere with radius 10 m = | 4188.790204786391 m^3 | volume_sphere |
|
||||
| 62 | nth Fibonacci number | What is the 41th Fibonacci number? | 165580141 | nth_fibonacci_number |
|
||||
| 63 | Profit or Loss Percent | Profit percent when CP = 411 and SP = 499 is: | 21.41119221411192 | profit_loss_percent |
|
||||
| 64 | Binary to Hexidecimal | 00010 | 0x2 | binary_to_hex |
|
||||
| 65 | Multiplication of 2 complex numbers | (-2-6j) * (-10+2j) = | (32+56j) | multiply_complex_numbers |
|
||||
| 66 | Geometric Progression | For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 7, common ratio is 11 , 8th term is 136410197 , sum upto 7th term is 13641019.0 | geometric_progression |
|
||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 76 , 98 , 2 , 58 = | (76*98*2*58)^(1/4) = 30.487682589384825 | geometric_mean |
|
||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 77 , 98 and 69 = | 3/((1/77) + (1/98) + (1/69)) = 79.60970388869067 | harmonic_mean |
|
||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[229.4364953887822, 570.6032154600009, 199.52328312454694, 658.3975413255898, 605.9566521345233, 616.6627240713517, 572.9546490919761, 508.8683987353998, 666.172347641998, 865.2735159823208, 594.8620516188639, 418.8436115273115, 69.46437421671337, 385.84806581739593] is: | 2015.3622923166513 | euclidian_norm |
|
||||
| 70 | Angle between 2 vectors | angle between the vectors [954.08, 488.66, 694.46, 127.67, 912.65, 462.11, 713.4, 179.41, 728.87, 811.04, 760.22, 688.68, 444.93, 237.29, 485.89, 565.71, 520.56, 44.1, 684.62, 665.12] and [736.88, 60.8, 240.61, 677.58, 887.06, 73.3, 470.5, 884.06, 453.97, 168.97, 921.73, 538.36, 967.82, 236.94, 51.62, 402.46, 57.88, 166.91, 676.47, 708.47] is: | 0.63 radians | angle_btw_vectors |
|
||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers -87 and 69 = | 156 | absolute_difference |
|
||||
| 72 | Dot Product of 2 Vectors | [14, -1, 7] . [-12, 15, -9] = | -246 | vector_dot |
|
||||
| 73 | Binary 2's Complement | 2's complement of 11010 = | 110 | binary_2s_complement |
|
||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[17, 31, 76], [3, 65, 91], [42, 2, 28]]) is: | Matrix([[-273/10550, 179/15825, 2119/63300], [-623/10550, 679/15825, 1319/63300], [227/5275, -317/15825, -253/15825]]) | invert_matrix |
|
||||
| 75 | Area of a Sector | Given radius, 4 and angle, 2. Find the area of the sector. | Area of sector = 0.27925 | sector_area |
|
||||
| 76 | Mean and Median | Given the series of numbers [87, 97, 75, 27, 91, 31, 15, 40, 73, 74]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 61.0 and Arithmetic median of this series is 73.5 | mean_median |
|
||||
| 77 | Determinant to 2x2 Matrix | Det([[83, 41], [15, 13]]) = | 464 | int_matrix_22_determinant |
|
||||
| 78 | Compound Interest | Compound interest for a principle amount of 2702 dollars, 7% rate of interest and for a time period of 2 year is = | 3093.52 | compound_interest |
|
||||
| 79 | Decimal to Hexadecimal | Binary of 386= | 0x182 | decimal_to_hexadeci |
|
||||
| 80 | Percentage of a number | What is 64% of 8? | Required percentage = 5.12% | percentage |
|
||||
| 81 | Celsius To Fahrenheit | Convert 50 degrees Celsius to degrees Fahrenheit = | 122.0 | celsius_to_fahrenheit |
|
||||
| 82 | AP Term Calculation | Find the term number 89 of the AP series: -35, -98, -161 ... | -5579 | arithmetic_progression_term |
|
||||
| 83 | AP Sum Calculation | Find the sum of first 63 terms of the AP series: 7, 100, 193 ... | 182070.0 | arithmetic_progression_sum |
|
||||
| 84 | Converts decimal to octal | The decimal number 265 in Octal is: | 0o411 | decimal_to_octal |
|
||||
| 85 | Converts decimal to Roman Numerals | The number 1439 in Roman Numerals is: | MCDXXXIX | decimal_to_roman_numerals |
|
||||
| 86 | Degrees to Radians | Angle 68 in radians is = | 1.19 | degree_to_rad |
|
||||
| 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radian_to_deg |
|
||||
| 88 | Differentiation | differentiate w.r.t x : d(ln(x)+2*x^3)/dx | 6*x^2 + 1/x | differentiation |
|
||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 74x^2 + 55x + 86 is = | 138.1667 | definite_integral |
|
||||
| 90 | isprime | 32 | False | is_prime |
|
||||
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 1 is = | 5461 | bcd_to_decimal |
|
||||
| 92 | Complex To Polar Form | rexp(itheta) = | 27.59exp(i-2.38) | complex_to_polar |
|
||||
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 2, 3, 5, 6, 8} ,b={1, 10, 2, 9}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 6, 8, 9, 10},Intersection is {1, 2}, a-b is {8, 3, 5, 6},b-a is {9, 10}, Symmetric difference is {3, 5, 6, 8, 9, 10} | set_operation |
|
||||
| 94 | Base Conversion | Convert 131222 from base 6 to base 2. | 10111010111110 | base_conversion |
|
||||
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 27 and height, 94? | CSA of cylinder = 15946.72 | curved_surface_area_cylinder |
|
||||
| 96 | Perimeter of Polygons | The perimeter of a 9 sided polygon with lengths of [48, 30, 110, 95, 10, 33, 87, 70, 78]cm is: | 561 | perimeter_of_polygons |
|
||||
| 97 | Power of Powers | The 24^1^3 = 24^(1*3) = 24^3 | 13824 | power_of_powers |
|
||||
| 98 | Quotient of Powers with Same Base | The Quotient of 41^2 and 41^3 = 41^(2-3) = 41^-1 | 0.024390243902439025 | quotient_of_power_same_base |
|
||||
| 99 | Quotient of Powers with Same Power | The Quotient of 30^5 and 35^5 = (30/35)^5 = 0.8571428571428571^5 | 0.46266436603796024 | quotient_of_power_same_power |
|
||||
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 5x^2 + 8x + 2 = 0 | simplified solution : ((-0.31, -1.29)), generalized solution : ((-8 + sqrt(24))/2*5, (-8 - sqrt(24))/2*5) | complex_quadratic |
|
||||
|
||||
@@ -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 +10,23 @@ 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 +2,106 @@ 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 *
|
||||
from .bcd_to_decimal import *
|
||||
from .complex_to_polar import *
|
||||
from .set_operation import *
|
||||
from .base_conversion import *
|
||||
from .curved_surface_area_cylinder import *
|
||||
from .perimeter_of_polygons import *
|
||||
from .power_of_powers import *
|
||||
from .quotient_of_power_same_base import *
|
||||
from .quotient_of_power_same_power import *
|
||||
from .complex_quadratic 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
|
||||
31
mathgenerator/funcs/angle_btw_vectors.py
Normal file
31
mathgenerator/funcs/angle_btw_vectors.py
Normal file
@@ -0,0 +1,31 @@
|
||||
from .__init__ import *
|
||||
import math
|
||||
|
||||
|
||||
def angleBtwVectorsFunc(maxEltAmt=20):
|
||||
s = 0
|
||||
v1 = [
|
||||
round(random.uniform(0, 1000), 2)
|
||||
for i in range(random.randint(2, maxEltAmt))
|
||||
]
|
||||
v2 = [round(random.uniform(0, 1000), 2) for i in v1]
|
||||
for i in range(len(v1)):
|
||||
s += v1[i] * v2[i]
|
||||
|
||||
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(round(math.acos(s / mags), 2)) + " radians"
|
||||
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)
|
||||
20
mathgenerator/funcs/arithmetic_progression_sum.py
Normal file
20
mathgenerator/funcs/arithmetic_progression_sum.py
Normal file
@@ -0,0 +1,20 @@
|
||||
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)
|
||||
20
mathgenerator/funcs/arithmetic_progression_term.py
Normal file
20
mathgenerator/funcs/arithmetic_progression_term.py
Normal file
@@ -0,0 +1,20 @@
|
||||
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)
|
||||
58
mathgenerator/funcs/base_conversion.py
Normal file
58
mathgenerator/funcs/base_conversion.py
Normal file
@@ -0,0 +1,58 @@
|
||||
from .__init__ import *
|
||||
|
||||
# base from 2 to 36
|
||||
alpha = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
|
||||
|
||||
|
||||
def fromBaseTenTo(n, toBase):
|
||||
assert type(
|
||||
toBase
|
||||
) == int and toBase >= 2 and toBase <= 36, "toBase({}) must be >=2 and <=36"
|
||||
# trivial cases
|
||||
if toBase == 2:
|
||||
return bin(n)[2:]
|
||||
elif toBase == 8:
|
||||
return oct(n)[2:]
|
||||
elif toBase == 10:
|
||||
return str(n)
|
||||
elif toBase == 16:
|
||||
return hex(n)[2:].upper()
|
||||
res = alpha[n % toBase]
|
||||
n = n // toBase
|
||||
while n > 0:
|
||||
res = alpha[n % toBase] + res
|
||||
n = n // toBase
|
||||
return res
|
||||
|
||||
|
||||
# Useful to check answers, but not needed here
|
||||
# def toBaseTen(n,fromBase):
|
||||
# return int(n,fromBase)
|
||||
|
||||
|
||||
def baseConversionFunc(maxNum=60000, maxBase=16):
|
||||
assert type(
|
||||
maxNum
|
||||
) == int and maxNum >= 100 and maxNum <= 65536, "maxNum({}) must be >=100 and <=65536".format(
|
||||
maxNum)
|
||||
assert type(
|
||||
maxBase
|
||||
) == int and maxBase >= 2 and maxBase <= 36, "maxBase({}) must be >= 2 and <=36".format(
|
||||
maxBase)
|
||||
|
||||
n = random.randint(40, maxNum)
|
||||
dist = [10] * 10 + [2] * 5 + [16] * 5 + [i for i in range(2, maxBase + 1)]
|
||||
# set this way since converting to/from bases 2,10,16 are more common -- can be changed if needed.
|
||||
bases = random.choices(dist, k=2)
|
||||
while bases[0] == bases[1]:
|
||||
bases = random.choices(dist, k=2)
|
||||
|
||||
problem = "Convert {} from base {} to base {}.".format(
|
||||
fromBaseTenTo(n, bases[0]), bases[0], bases[1])
|
||||
ans = fromBaseTenTo(n, bases[1])
|
||||
return problem, ans
|
||||
|
||||
|
||||
base_conversion = Generator("Base Conversion", 94,
|
||||
"Convert 152346 from base 8 to base 10.", "54502",
|
||||
baseConversionFunc)
|
||||
@@ -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)
|
||||
25
mathgenerator/funcs/bcd_to_decimal.py
Normal file
25
mathgenerator/funcs/bcd_to_decimal.py
Normal file
@@ -0,0 +1,25 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def BCDtoDecimalFunc(maxNumber=10000):
|
||||
n = random.randint(1000, maxNumber)
|
||||
binstring = ''
|
||||
while True:
|
||||
q, r = divmod(n, 10)
|
||||
nibble = bin(r).replace('0b', "")
|
||||
while len(nibble) < 4:
|
||||
nibble = '0' + nibble
|
||||
binstring = nibble + binstring
|
||||
if q == 0:
|
||||
break
|
||||
else:
|
||||
n = q
|
||||
|
||||
problem = "Integer of Binary Coded Decimal " + str(n) + " is = "
|
||||
solution = int(binstring, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
bcd_to_decimal = Generator("Binary Coded Decimal to Integer", 91,
|
||||
"Integer of Binary Coded Decimal b is ", "n",
|
||||
BCDtoDecimalFunc)
|
||||
@@ -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)
|
||||
15
mathgenerator/funcs/celsius_to_fahrenheit.py
Normal file
15
mathgenerator/funcs/celsius_to_fahrenheit.py
Normal file
@@ -0,0 +1,15 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def celsiustofahrenheitFunc(maxTemp=100):
|
||||
celsius = random.randint(-50, maxTemp)
|
||||
fahrenheit = (celsius * (9 / 5)) + 32
|
||||
problem = "Convert " + str(
|
||||
celsius) + " degrees Celsius to degrees Fahrenheit ="
|
||||
solution = str(fahrenheit)
|
||||
return problem, solution
|
||||
|
||||
|
||||
celsius_to_fahrenheit = Generator("Celsius To Fahrenheit", 81,
|
||||
"(C +(9/5))+32=", "F",
|
||||
celsiustofahrenheitFunc)
|
||||
@@ -1,14 +0,0 @@
|
||||
from .__init__ import *
|
||||
from ..__init__ import Generator
|
||||
|
||||
|
||||
def celsiustofahrenheitFunc(maxTemp=100):
|
||||
celsius = random.randint(-50, maxTemp)
|
||||
fahrenheit = (celsius * (9 / 5)) + 32
|
||||
problem = "Convert " + str(celsius) + " degrees Celsius to degrees Fahrenheit ="
|
||||
solution = str(fahrenheit)
|
||||
return problem, solution
|
||||
|
||||
|
||||
celsiustofahrenheit = Generator("Celsius To Fahrenheit", 81,
|
||||
"(C +(9/5))+32=", "F", celsiustofahrenheitFunc)
|
||||
@@ -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)
|
||||
75
mathgenerator/funcs/complex_quadratic.py
Normal file
75
mathgenerator/funcs/complex_quadratic.py
Normal file
@@ -0,0 +1,75 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def complexQuadraticFunc(prob_type=0, max_range=10):
|
||||
if prob_type < 0 or prob_type > 1:
|
||||
print("prob_type not supported")
|
||||
print("prob_type = 0 for real roots problems ")
|
||||
print("prob_tpye = 1 for imaginary roots problems")
|
||||
return None
|
||||
if prob_type == 0:
|
||||
d = -1
|
||||
while d < 0:
|
||||
a = random.randrange(1, max_range)
|
||||
b = random.randrange(1, max_range)
|
||||
c = random.randrange(1, max_range)
|
||||
|
||||
d = (b**2 - 4 * a * c)
|
||||
else:
|
||||
d = 0
|
||||
while d >= 0:
|
||||
a = random.randrange(1, max_range)
|
||||
b = random.randrange(1, max_range)
|
||||
c = random.randrange(1, max_range)
|
||||
|
||||
d = (b**2 - 4 * a * c)
|
||||
|
||||
eq = ''
|
||||
|
||||
if a == 1:
|
||||
eq += 'x^2 + '
|
||||
else:
|
||||
eq += str(a) + 'x^2 + '
|
||||
|
||||
if b == 1:
|
||||
eq += 'x + '
|
||||
else:
|
||||
eq += str(b) + 'x + '
|
||||
|
||||
eq += str(c) + ' = 0'
|
||||
|
||||
problem = 'Find the roots of given Quadratic Equation ' + eq
|
||||
|
||||
if d < 0:
|
||||
sqrt_d = (-d)**0.5
|
||||
|
||||
if sqrt_d - int(sqrt_d) == 0:
|
||||
sqrt_d = int(sqrt_d)
|
||||
solution = f'(({-b} + {sqrt_d}i)/2*{a}, ({-b} - {sqrt_d}i)/2*{a})'
|
||||
else:
|
||||
solution = f'(({-b} + sqrt({-d})i)/2*{a}, ({-b} - sqrt({-d})i)/2*{a})'
|
||||
|
||||
return problem, solution
|
||||
|
||||
else:
|
||||
s_root1 = round((-b + (d)**0.5) / (2 * a), 3)
|
||||
s_root2 = round((-b - (d)**0.5) / (2 * a), 3)
|
||||
|
||||
sqrt_d = (d)**0.5
|
||||
|
||||
if sqrt_d - int(sqrt_d) == 0:
|
||||
sqrt_d = int(sqrt_d)
|
||||
g_sol = f'(({-b} + {sqrt_d})/2*{a}, ({-b} - {sqrt_d})/2*{a})'
|
||||
else:
|
||||
g_sol = f'(({-b} + sqrt({d}))/2*{a}, ({-b} - sqrt({d}))/2*{a})'
|
||||
|
||||
solution = f'simplified solution : ({s_root1, s_root2}), generalized solution : ' + g_sol
|
||||
|
||||
return problem, solution
|
||||
|
||||
|
||||
complex_quadratic = Generator(
|
||||
"complex Quadratic Equation", 100,
|
||||
"Find the roots of given Quadratic Equation ",
|
||||
"simplified solution : (x1, x2), generalized solution : ((-b + sqrt(d))/2a, (-b - sqrt(d))/2a) or ((-b + sqrt(d)i)/2a, (-b - sqrt(d)i)/2a)",
|
||||
complexQuadraticFunc)
|
||||
18
mathgenerator/funcs/complex_to_polar.py
Normal file
18
mathgenerator/funcs/complex_to_polar.py
Normal file
@@ -0,0 +1,18 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def complexToPolarFunc(minRealImaginaryNum=-20, maxRealImaginaryNum=20):
|
||||
num = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum),
|
||||
random.randint(minRealImaginaryNum, maxRealImaginaryNum))
|
||||
a = num.real
|
||||
b = num.imag
|
||||
r = round(math.hypot(a, b), 2)
|
||||
theta = round(math.atan2(b, a), 2)
|
||||
plr = str(r) + "exp(i" + str(theta) + ")"
|
||||
problem = "rexp(itheta) = "
|
||||
solution = plr
|
||||
return problem, solution
|
||||
|
||||
|
||||
complex_to_polar = Generator("Complex To Polar Form", 92, "rexp(itheta) = ",
|
||||
"plr", complexToPolarFunc)
|
||||
@@ -1,18 +0,0 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def compoundInterestFunc(maxPrinciple=10000,
|
||||
maxRate=10,
|
||||
maxTime=10,
|
||||
maxPeriod=10):
|
||||
p = random.randint(100, maxPrinciple)
|
||||
r = random.randint(1, maxRate)
|
||||
t = random.randint(1, maxTime)
|
||||
n = random.randint(1, maxPeriod)
|
||||
A = p * ((1 + (r / (100 * n))**(n * t)))
|
||||
problem = "Compound Interest for a principle amount of " + str(
|
||||
p) + " dollars, " + str(
|
||||
r) + "% rate of interest and for a time period of " + str(
|
||||
t) + " compounded monthly is = "
|
||||
solution = round(A, 2)
|
||||
return problem, solution
|
||||
19
mathgenerator/funcs/compound_interest.py
Normal file
19
mathgenerator/funcs/compound_interest.py
Normal file
@@ -0,0 +1,19 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def compoundInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
|
||||
p = random.randint(1000, maxPrinciple)
|
||||
r = random.randint(1, maxRate)
|
||||
n = random.randint(1, maxTime)
|
||||
a = p * (1 + r / 100)**n
|
||||
problem = "Compound interest for a principle amount of " + \
|
||||
str(p) + " dollars, " + str(r) + \
|
||||
"% rate of interest and for a time period of " + str(n) + " year is = "
|
||||
solution = round(a, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
compound_interest = Generator(
|
||||
"Compound Interest", 78,
|
||||
"Compound interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ",
|
||||
"d 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 +8,8 @@ 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)
|
||||
17
mathgenerator/funcs/curved_surface_area_cylinder.py
Normal file
17
mathgenerator/funcs/curved_surface_area_cylinder.py
Normal file
@@ -0,0 +1,17 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def curvedSurfaceAreaCylinderFunc(maxRadius=49, maxHeight=99):
|
||||
r = random.randint(1, maxRadius)
|
||||
h = random.randint(1, maxHeight)
|
||||
problem = f"What is the curved surface area of a cylinder of radius, {r} and height, {h}?"
|
||||
csa = float(2 * math.pi * r * h)
|
||||
formatted_float = round(csa, 2) # "{:.5f}".format(csa)
|
||||
solution = f"CSA of cylinder = {formatted_float}"
|
||||
return problem, solution
|
||||
|
||||
|
||||
curved_surface_area_cylinder = Generator(
|
||||
"Curved surface area of a cylinder", 95,
|
||||
"What is CSA of a cylinder of radius, r and height, h?", "csa of cylinder",
|
||||
curvedSurfaceAreaCylinderFunc)
|
||||
@@ -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)
|
||||
13
mathgenerator/funcs/decimal_to_octal.py
Normal file
13
mathgenerator/funcs/decimal_to_octal.py
Normal file
@@ -0,0 +1,13 @@
|
||||
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)
|
||||
38
mathgenerator/funcs/decimal_to_roman_numerals.py
Normal file
38
mathgenerator/funcs/decimal_to_roman_numerals.py
Normal file
@@ -0,0 +1,38 @@
|
||||
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)
|
||||
28
mathgenerator/funcs/definite_integral.py
Normal file
28
mathgenerator/funcs/definite_integral.py
Normal file
@@ -0,0 +1,28 @@
|
||||
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)
|
||||
54
mathgenerator/funcs/differentiation.py
Normal file
54
mathgenerator/funcs/differentiation.py
Normal file
@@ -0,0 +1,54 @@
|
||||
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 +12,9 @@ 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
|
||||
16
mathgenerator/funcs/euclidian_norm.py
Normal file
16
mathgenerator/funcs/euclidian_norm.py
Normal file
@@ -0,0 +1,16 @@
|
||||
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 +25,9 @@ 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 +76,8 @@ 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 +10,9 @@ 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)
|
||||
20
mathgenerator/funcs/perimeter_of_polygons.py
Normal file
20
mathgenerator/funcs/perimeter_of_polygons.py
Normal file
@@ -0,0 +1,20 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def perimeterOfPolygons(maxSides=12, maxLength=120):
|
||||
size_of_sides = random.randint(3, maxSides)
|
||||
sides = []
|
||||
for x in range(size_of_sides):
|
||||
sides.append(random.randint(1, maxLength))
|
||||
problem = "The perimeter of a " + str(size_of_sides) + \
|
||||
" sided polygon with lengths of " + str(sides) + "cm is: "
|
||||
solution = 0
|
||||
for y in range(len(sides)):
|
||||
solution += sides[y]
|
||||
return problem, solution
|
||||
|
||||
|
||||
perimeter_of_polygons = Generator(
|
||||
"Perimeter of Polygons", 96,
|
||||
"The perimeter of a x sided polygon with lengths of y cm is: ", "z",
|
||||
perimeterOfPolygons)
|
||||
@@ -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)
|
||||
20
mathgenerator/funcs/power_of_powers.py
Normal file
20
mathgenerator/funcs/power_of_powers.py
Normal file
@@ -0,0 +1,20 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def powerOfPowersFunc(maxBase=50, maxPower=10):
|
||||
base = random.randint(1, maxBase)
|
||||
power1 = random.randint(1, maxPower)
|
||||
power2 = random.randint(1, maxPower)
|
||||
step = power1 * power2
|
||||
|
||||
problem = "The {base}^{power1}^{power2} = " \
|
||||
"{base}^({power1}*{power2}) = {base}^{step}".format(base=base,
|
||||
power1=power1,
|
||||
power2=power2,
|
||||
step=step)
|
||||
solution = str(base**step)
|
||||
return problem, solution
|
||||
|
||||
|
||||
power_of_powers = Generator("Power of Powers", 97, "6^4^2 = 6^(4*2) = 6^6",
|
||||
"46656", powerOfPowersFunc)
|
||||
@@ -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)
|
||||
21
mathgenerator/funcs/quotient_of_power_same_base.py
Normal file
21
mathgenerator/funcs/quotient_of_power_same_base.py
Normal file
@@ -0,0 +1,21 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def quotientOfPowerSameBaseFunc(maxBase=50, maxPower=10):
|
||||
base = random.randint(1, maxBase)
|
||||
power1 = random.randint(1, maxPower)
|
||||
power2 = random.randint(1, maxPower)
|
||||
step = power1 - power2
|
||||
|
||||
problem = "The Quotient of {base}^{power1} and {base}^{power2} = " \
|
||||
"{base}^({power1}-{power2}) = {base}^{step}".format(base=base,
|
||||
power1=power1,
|
||||
power2=power2,
|
||||
step=step)
|
||||
solution = str(base**step)
|
||||
return problem, solution
|
||||
|
||||
|
||||
quotient_of_power_same_base = Generator("Quotient of Powers with Same Base",
|
||||
98, "6^4 / 6^2 = 6^(4-2) = 6^2", "36",
|
||||
quotientOfPowerSameBaseFunc)
|
||||
21
mathgenerator/funcs/quotient_of_power_same_power.py
Normal file
21
mathgenerator/funcs/quotient_of_power_same_power.py
Normal file
@@ -0,0 +1,21 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def quotientOfPowerSamePowerFunc(maxBase=50, maxPower=10):
|
||||
base1 = random.randint(1, maxBase)
|
||||
base2 = random.randint(1, maxBase)
|
||||
power = random.randint(1, maxPower)
|
||||
step = base1 / base2
|
||||
|
||||
problem = "The Quotient of {base1}^{power} and {base2}^{power} = " \
|
||||
"({base1}/{base2})^{power} = {step}^{power}".format(base1=base1,
|
||||
base2=base2,
|
||||
power=power,
|
||||
step=step)
|
||||
solution = str(step**power)
|
||||
return problem, solution
|
||||
|
||||
|
||||
quotient_of_power_same_power = Generator("Quotient of Powers with Same Power",
|
||||
99, "6^4 / 3^4 = (6/3)^4 = 2^4", "16",
|
||||
quotientOfPowerSamePowerFunc)
|
||||
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)
|
||||
27
mathgenerator/funcs/set_operation.py
Normal file
27
mathgenerator/funcs/set_operation.py
Normal file
@@ -0,0 +1,27 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def set_operation(minval=3, maxval=7, n_a=4, n_b=5):
|
||||
number_variables_a = random.randint(minval, maxval)
|
||||
number_variables_b = random.randint(minval, maxval)
|
||||
a = []
|
||||
b = []
|
||||
for i in range(number_variables_a):
|
||||
a.append(random.randint(1, 10))
|
||||
for i in range(number_variables_b):
|
||||
b.append(random.randint(1, 10))
|
||||
a = set(a)
|
||||
b = set(b)
|
||||
problem = "Given the two sets a=" + \
|
||||
str(a) + " ,b=" + str(b) + ".Find the Union,intersection,a-b,b-a and symmetric difference"
|
||||
solution = "Union is " + str(a.union(b)) + ",Intersection is " + str(
|
||||
a.intersection(b)) + ", a-b is " + str(
|
||||
a.difference(b)) + ",b-a is " + str(
|
||||
b.difference(a)) + ", Symmetric difference is " + str(
|
||||
a.symmetric_difference(b))
|
||||
return problem, solution
|
||||
|
||||
|
||||
set_operation = Generator("Union,Intersection,Difference of Two Sets", 93,
|
||||
"Union,intersection,difference", "aUb,a^b,a-b,b-a,",
|
||||
set_operation)
|
||||
@@ -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)
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user