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Split term and sum to 2 functions
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16
.github/ISSUE_TEMPLATE/new-generator-idea.md
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.github/ISSUE_TEMPLATE/new-generator-idea.md
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---
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name: New Generator Idea
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about: Use this template if you have an idea for a new generator.
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title: ''
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labels: New generator, hacktoberfest
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assignees: ''
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---
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**Example Problem:**
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**Example Solution:**
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**Further explanation:**
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**Would you like to be assigned to this:**
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.github/ISSUE_TEMPLATE/other-issue.md
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.github/ISSUE_TEMPLATE/other-issue.md
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---
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name: Other Issue
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about: If your issue lies outside of the other templates
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title: ''
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labels: ''
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assignees: ''
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---
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.github/ISSUE_TEMPLATE/request-changes-to-a-generator.md
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.github/ISSUE_TEMPLATE/request-changes-to-a-generator.md
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---
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name: Request changes to a generator
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about: If you find a faulty generator that needs a fix, use this template.
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title: ''
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labels: bug, hacktoberfest
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assignees: ''
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---
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**Name or Id of generator:**
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**Issue:**
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2
.github/workflows/tests.yaml
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.github/workflows/tests.yaml
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run: |
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run: |
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python -m pip install -U pip
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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 -m 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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- name: Test
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run: make test
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run: make test
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@@ -28,7 +28,14 @@ def additionFunc(maxSum, maxAddend):
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Before coding, please check README.md to see if someone has already created the generator you plan to make.
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Before coding, please check README.md to see if someone has already created the generator you plan to make.
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Skillid is determined by the next available id as can be determined in the table.
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Skillid is determined by the next available id as can be determined in the table.
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#### Restructure Notes
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We currently just underwent a large reconstruction of the repository. Here is how you commit to the repo.
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* Place your generator instance at the bottom of mathgen.py
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* Create a new file in the funcs directory with the same name as your function
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* Place `.__init__ import *` at the top of your file and then write your function in the lines beneath it
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* Add `from .<yourfunc> import *` at the bottom of the `__init__.py` file inside the funcs directory
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If you have issues with checks you can try using yapf to fix linter errors or just go through them line by line.
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### Provide Ideas
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### Provide Ideas
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If you have an idea for a generator but don't have the time or know-how to create it, you can add it as an issue. If you have a lot of ideas, I would suggest adding them to the table in README.md so that they are easier for our team to manage.
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If you have an idea for a generator but don't have the time or know-how to create it, you can add it as an issue. If you have a lot of ideas, I would suggest adding them to the table in README.md so that they are easier for our team to manage.
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9
Makefile
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Makefile
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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 $(PKG)/*
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lint:
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python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
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test:
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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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README.md
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README.md
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| Id | Skill | Example problem | Example Solution | Function Name |
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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| 0 | Addition | 29+33= | 62 | addition |
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[//]: # list start
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| 1 | Subtraction | 62-7= | 55 | subtraction |
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| 0 | Addition | 33+23= | 56 | addition |
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| 2 | Multiplication | 93*1= | 93 | multiplication |
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| 1 | Subtraction | 14-1= | 13 | subtraction |
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| 3 | Division | 59/47= | 1.2553191489361701 | division |
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| 2 | Multiplication | 52*1= | 52 | multiplication |
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| 4 | Binary Complement 1s | 001110000 | 110001111 | binaryComplement1s |
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| 3 | Division | 14/26= | 0.5384615384615384 | division |
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| 5 | Modulo Division | 89%34= | 21 | moduloDivision |
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| 4 | Binary Complement 1s | 0110111= | 1001000 | binaryComplement1s |
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| 6 | Square Root | sqrt(16)= | 4 | squareRoot |
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| 5 | Modulo Division | 23%70= | 23 | moduloDivision |
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| 7 | Power Rule Differentiation | 4x^3 | 12x^2 | powerRuleDifferentiation |
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| 6 | Square Root | sqrt(121)= | 11 | squareRoot |
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| 8 | Square | 12^2= | 144 | square |
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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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| 9 | LCM (Least Common Multiple) | LCM of 10 and 1 = | 10 | lcm |
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| 8 | Square | 18^2= | 324 | square |
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| 10 | GCD (Greatest Common Denominator) | GCD of 12 and 5 = | 1 | gcd |
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| 9 | LCM (Least Common Multiple) | LCM of 17 and 11 = | 187 | lcm |
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| 11 | Basic Algebra | 8x + 7 = 10 | 3/8 | basicAlgebra |
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| 10 | GCD (Greatest Common Denominator) | GCD of 15 and 12 = | 3 | gcd |
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| 12 | Logarithm | log3(729) | 6 | log |
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| 11 | Basic Algebra | 2x + 3 = 10 | 7/2 | basicAlgebra |
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| 13 | Easy Division | 378/21 = | 18 | intDivision |
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| 12 | Logarithm | log2(32) | 5 | log |
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| 14 | Decimal to Binary | Binary of 4= | 100 | decimalToBinary |
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| 13 | Easy Division | 196/14 = | 14 | intDivision |
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| 15 | Binary to Decimal | 10011 | 19 | binaryToDecimal |
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| 14 | Decimal to Binary | Binary of 61= | 111101 | decimalToBinary |
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| 16 | Fraction Division | (1/2)/(4/3) | 3/8 | fractionDivision |
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| 15 | Binary to Decimal | 1 | 1 | binaryToDecimal |
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| 17 | Integer Multiplication with 2x2 Matrix | 2 * [[0, 7], [7, 7]] = | [[0,14],[14,14]] | intMatrix22Multiplication |
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| 16 | Fraction Division | (2/1)/(10/5) | 1 | fractionDivision |
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| 18 | Area of Triangle | Area of triangle with side lengths: 9 14 15 = | 61.644140029689765 | areaOfTriangle |
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| 17 | Integer Multiplication with 2x2 Matrix | 16 * [[4, 1], [1, 2]] = | [[64,16],[16,32]] | intMatrix22Multiplication |
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| 19 | Triangle exists check | Does triangle with sides 33, 6 and 43 exist? | No | doesTriangleExist |
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| 18 | Area of Triangle | Area of triangle with side lengths: 15 13 11 = | 69.62892717829278 | areaOfTriangle |
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| 20 | Midpoint of the two point | (-15,-10),(-5,2)= | (-10.0,-4.0) | midPointOfTwoPoint |
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| 19 | Triangle exists check | Does triangle with sides 35, 14 and 37 exist? | Yes | doesTriangleExist |
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| 21 | Factoring Quadratic | x^2-17x+72 | (x-9)(x-8) | factoring |
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| 20 | Midpoint of the two point | (15,5),(9,10)= | (12.0,7.5) | midPointOfTwoPoint |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 4 and 31 = | 145 | thirdAngleOfTriangle |
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| 21 | Factoring Quadratic | x^2-12x+35 | (x-7)(x-5) | factoring |
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| 23 | Solve a System of Equations in R^2 | 4x - 8y = 48, 3x - 8y = 40 | x = 8, y = -2 | systemOfEquations |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 37 and 54 = | 89 | thirdAngleOfTriangle |
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| 24 | Distance between 2 points | Find the distance between (-9, -20) and (18, -19) | sqrt(730) | distance2Point |
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| 23 | Solve a System of Equations in R^2 | -4x - 8y = 60, -9x + 10y = 51 | x = -9, y = -3 | systemOfEquations |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 13 = | 22.20 | pythagoreanTheorem |
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| 24 | Distance between 2 points | Find the distance between (16, 7) and (19, 14) | sqrt(58) | distance2Point |
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| 26 | Linear Equations | -11x + -16y = -302
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 8 = | 19.70 | pythagoreanTheorem |
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1x + 20y = 250 | x = 10, y = 12 | linearEquations |
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| 26 | Linear Equations | -8x + 15y = -109
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| 27 | Prime Factorisation | Find prime factors of 55 | [5, 11] | primeFactors |
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6x + -14y = 90 | x = 8, y = -3 | linearEquations |
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| 28 | Fraction Multiplication | (4/9)*(8/10) | 16/45 | fractionMultiplication |
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| 27 | Prime Factorisation | Find prime factors of 130 | [2, 5, 13] | primeFactors |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 15 sides | 156.0 | angleRegularPolygon |
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| 28 | Fraction Multiplication | (8/9)*(3/2) | 4/3 | fractionMultiplication |
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| 30 | Combinations of Objects | Number of combinations from 13 objects picked 1 at a time | 13 | combinations |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 8 sides | 135.0 | angleRegularPolygon |
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| 30 | Combinations of Objects | Number of combinations from 11 objects picked 9 at a time | 55 | combinations |
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| 31 | Factorial | 2! = | 2 | factorial |
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| 31 | Factorial | 2! = | 2 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 13m is | 1014 m^2 | surfaceAreaCubeGen |
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| 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 = 5m, 3m, 7m is | 142 m^2 | surfaceAreaCuboidGen |
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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 = 15m and radius = 7m is | 967 m^2 | surfaceAreaCylinderGen |
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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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| 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 = 6m, 1m, 10m is | 60 m^3 | volumeCuboidGen |
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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 = 26m and radius = 15m is | 18378 m^3 | volumeCylinderGen |
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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 = 46m and radius = 14m is | 2730 m^2 | surfaceAreaConeGen |
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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 = 7m and radius = 11m is | 886 m^3 | volumeConeGen |
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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 91 and 51 = | [1] | commonFactors |
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| 40 | Common Factors | Common Factors of 59 and 57 = | [1] | commonFactors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 6/4x + 5 and y = -7/2x + 3 | (-2/5, 22/5) | intersectionOfTwoLines |
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| 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 4 at a time = | 17160 | permutations |
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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 | [-14, 13, 20] X [-5, -18, 19] = | [607, 166, 317] | vectorCross |
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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 8/3 and 6/7? | > | compareFractions |
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| 44 | Compare Fractions | Which symbol represents the comparison between 3/7 and 2/4? | < | compareFractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 6128 dollars, 5% rate of interest and for a time period of 5 years is = | 1532.0 | simpleInterest |
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| 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 [[-20, -14, -88, -62, 39, 94, 21, 75, 26], [89, -67, -80, -60, 32, -23, -79, 11, -69], [13, -75, -66, 3, 67, -79, -49, 6, 36], [-44, -84, 68, -27, -86, -95, -71, -77, -62], [45, 58, 89, 82, 30, -83, -23, 51, 95], [11, 46, 100, -15, 60, -34, 85, 50, -44], [93, -100, -62, 63, -73, -64, 90, -15, 23], [-8, 91, -22, 53, -42, 25, 32, -26, 31], [-60, 90, 75, -42, 19, 33, -30, 74, 13]] and [[-80, 54, -39, 37, -99], [31, -28, -31, 64, 73], [-21, -34, -28, -21, -76], [-94, 55, 66, 0, 17], [-28, 25, -65, -74, 100], [76, 74, -96, -98, -5], [-90, -70, -66, -71, -35], [65, 49, -100, 72, -23], [-95, -97, -31, -84, -86]] | [[15409, 6508, -21665, -10161, 5326], [9859, 17962, 3267, 12768, 3119], [-8761, 1272, 8611, 738, 3881], [4489, -5790, 29652, 11947, -5940], [-22167, -8208, -1142, 6747, -10714], [-4628, -5167, -15527, 1404, 243], [-29240, -2432, 11103, 615, -22487], [-5498, -5038, 1462, -100, 2495], [18214, -3238, -15548, 3691, 6061]] | matrixMultiplication |
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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 |
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| 47 | Cube Root | cuberoot of 711 upto 2 decimal places is: | 8.93 | CubeRoot |
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[ 10584, 13902, 11916, -7446, 4430, 554]
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| 48 | Power Rule Integration | 3x^1 | (3/1)x^2 + c | powerRuleIntegration |
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[ -1800, 6587, 14343, 6224, 4525, 4853]
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 94 , 101, 102 = | 63 | fourthAngleOfQuadrilateral |
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[-12452, -10675, -8693, 427, 2955, 17691]] | matrixMultiplication |
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| 47 | Cube Root | cuberoot of 221 upto 2 decimal places is: | 6.05 | CubeRoot |
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| 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 |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 27 , 155, 116 = | 62 | fourthAngleOfQuadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 53x^2+200x+78=0 | [-0.44, -3.33] | quadraticEquationSolve |
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| 51 | HCF (Highest Common Factor) | HCF of 7 and 4 = | 1 | hcf |
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| 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 |
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| 53 | Exponentiation | 9^10 = | 3486784401 | exponentiation |
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| 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 |
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| 55 | Comparing surds | Fill in the blanks 15^(1/9) _ 55^(1/1) | < | surdsComparison |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacciSeries |
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| 57 | Trigonometric Values | What is tan(30)? | 1/√3 | basicTrigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sumOfAnglesOfPolygon |
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||||||
|
| 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 |
|
||||||
|
|||||||
@@ -1,2 +1,5 @@
|
|||||||
pytest
|
pytest
|
||||||
hypothesis
|
hypothesis
|
||||||
|
flake8
|
||||||
|
autopep8
|
||||||
|
sympy
|
||||||
54
makeReadme.py
Normal file
54
makeReadme.py
Normal file
@@ -0,0 +1,54 @@
|
|||||||
|
# To use, paste at bottom of mathgen.py code, change line variable and remove all table rows in README.md except for the top 2 and run mathgen.py
|
||||||
|
# NOTE: not anymore. but still leaving this comment in.
|
||||||
|
from mathgenerator.mathgen import *
|
||||||
|
|
||||||
|
wList = getGenList()
|
||||||
|
lines = []
|
||||||
|
with open('mathgenerator/mathgen.py', 'r') as f:
|
||||||
|
lines = f.readlines()
|
||||||
|
|
||||||
|
allRows = []
|
||||||
|
# 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
|
||||||
|
prob, solu = myGen()
|
||||||
|
prob = str(prob).rstrip("\n")
|
||||||
|
solu = str(solu).rstrip("\n")
|
||||||
|
# edge case for matrixMultiplication
|
||||||
|
if item[0] == 46:
|
||||||
|
print(prob)
|
||||||
|
|
||||||
|
prob = prob.replace("[[", "<table><tr><td>")
|
||||||
|
prob = prob.replace("[", "<tr><td>")
|
||||||
|
prob = prob.replace(", ", "</td><td>")
|
||||||
|
prob = prob.replace("]]\n", "</td></tr></table>")
|
||||||
|
prob = prob.replace("]\n", "</td></tr>")
|
||||||
|
print(prob)
|
||||||
|
|
||||||
|
instName = lines[line]
|
||||||
|
# NOTE: renamed 'def_name' to 'func_name' because it suits it more
|
||||||
|
func_name = instName[:instName.find('=')].strip()
|
||||||
|
row = [myGen.id, myGen.title, prob, solu, func_name]
|
||||||
|
# print(item[1], func_name)
|
||||||
|
line += 1
|
||||||
|
if line > len(lines):
|
||||||
|
break
|
||||||
|
allRows.append(row)
|
||||||
|
|
||||||
|
with open('README.md', "r") as g:
|
||||||
|
lines = g.readlines()
|
||||||
|
|
||||||
|
line = lines.index('[//]: # list start\n')
|
||||||
|
lines = lines[:line + 1]
|
||||||
|
|
||||||
|
for row in allRows:
|
||||||
|
tableLine = "| " + str(row[0]) + " | " + str(row[1]) + " | " + str(
|
||||||
|
row[2]) + " | " + str(row[3]) + " | " + str(row[4]) + " |\n"
|
||||||
|
lines.append(tableLine)
|
||||||
|
|
||||||
|
with open('README.md', "w") as g:
|
||||||
|
g.writelines(lines)
|
||||||
|
|
||||||
|
print("New README.md table generated")
|
||||||
@@ -0,0 +1,23 @@
|
|||||||
|
genList = []
|
||||||
|
|
||||||
|
|
||||||
|
class Generator:
|
||||||
|
def __init__(self, title, id, generalProb, generalSol, func):
|
||||||
|
self.title = title
|
||||||
|
self.id = id
|
||||||
|
self.generalProb = generalProb
|
||||||
|
self.generalSol = generalSol
|
||||||
|
self.func = func
|
||||||
|
genList.append([id, title, self])
|
||||||
|
|
||||||
|
def __str__(self):
|
||||||
|
return str(
|
||||||
|
self.id
|
||||||
|
) + " " + self.title + " " + self.generalProb + " " + self.generalSol
|
||||||
|
|
||||||
|
def __call__(self, **kwargs):
|
||||||
|
return self.func(**kwargs)
|
||||||
|
|
||||||
|
|
||||||
|
def getGenList():
|
||||||
|
return genList
|
||||||
|
|||||||
Binary file not shown.
Binary file not shown.
12
mathgenerator/funcs/BinaryToDecimalFunc.py
Normal file
12
mathgenerator/funcs/BinaryToDecimalFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def BinaryToDecimalFunc(max_dig=10):
|
||||||
|
problem = ''
|
||||||
|
|
||||||
|
for i in range(random.randint(1, max_dig)):
|
||||||
|
temp = str(random.randint(0, 1))
|
||||||
|
problem += temp
|
||||||
|
|
||||||
|
solution = int(problem, 2)
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/DecimalToBinaryFunc.py
Normal file
11
mathgenerator/funcs/DecimalToBinaryFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def DecimalToBinaryFunc(max_dec=99):
|
||||||
|
a = random.randint(1, max_dec)
|
||||||
|
b = bin(a).replace("0b", "")
|
||||||
|
|
||||||
|
problem = "Binary of " + str(a) + "="
|
||||||
|
solution = str(b)
|
||||||
|
|
||||||
|
return problem, solution
|
||||||
26
mathgenerator/funcs/DiceSumProbFunc.py
Normal file
26
mathgenerator/funcs/DiceSumProbFunc.py
Normal file
@@ -0,0 +1,26 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def DiceSumProbFunc(maxDice=3):
|
||||||
|
a = random.randint(1, maxDice)
|
||||||
|
b = random.randint(a, 6 * a)
|
||||||
|
|
||||||
|
count = 0
|
||||||
|
for i in [1, 2, 3, 4, 5, 6]:
|
||||||
|
if a == 1:
|
||||||
|
if i == b:
|
||||||
|
count = count + 1
|
||||||
|
elif a == 2:
|
||||||
|
for j in [1, 2, 3, 4, 5, 6]:
|
||||||
|
if i + j == b:
|
||||||
|
count = count + 1
|
||||||
|
elif a == 3:
|
||||||
|
for j in [1, 2, 3, 4, 5, 6]:
|
||||||
|
for k in [1, 2, 3, 4, 5, 6]:
|
||||||
|
if i + j + k == b:
|
||||||
|
count = count + 1
|
||||||
|
|
||||||
|
problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(
|
||||||
|
a, b)
|
||||||
|
solution = "{}/{}".format(count, 6**a)
|
||||||
|
return problem, solution
|
||||||
12
mathgenerator/funcs/MidPointOfTwoPointFunc.py
Normal file
12
mathgenerator/funcs/MidPointOfTwoPointFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def MidPointOfTwoPointFunc(maxValue=20):
|
||||||
|
x1 = random.randint(-20, maxValue)
|
||||||
|
y1 = random.randint(-20, maxValue)
|
||||||
|
x2 = random.randint(-20, maxValue)
|
||||||
|
y2 = random.randint(-20, maxValue)
|
||||||
|
|
||||||
|
problem = f"({x1},{y1}),({x2},{y2})="
|
||||||
|
solution = f"({(x1+x2)/2},{(y1+y2)/2})"
|
||||||
|
return problem, solution
|
||||||
86
mathgenerator/funcs/__init__.py
Normal file
86
mathgenerator/funcs/__init__.py
Normal file
@@ -0,0 +1,86 @@
|
|||||||
|
import random
|
||||||
|
import math
|
||||||
|
import fractions
|
||||||
|
|
||||||
|
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 *
|
||||||
12
mathgenerator/funcs/absoluteDifferenceFunc.py
Normal file
12
mathgenerator/funcs/absoluteDifferenceFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def absoluteDifferenceFunc(maxA=100, maxB=100):
|
||||||
|
a = random.randint(-1 * maxA, maxA)
|
||||||
|
b = random.randint(-1 * maxB, maxB)
|
||||||
|
absDiff = abs(a - b)
|
||||||
|
|
||||||
|
problem = "Absolute difference between numbers " + \
|
||||||
|
str(a) + " and " + str(b) + " = "
|
||||||
|
solution = absDiff
|
||||||
|
return problem, solution
|
||||||
15
mathgenerator/funcs/addition.py
Normal file
15
mathgenerator/funcs/addition.py
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
from ..__init__ import Generator
|
||||||
|
|
||||||
|
|
||||||
|
def additionFunc(maxSum=99, maxAddend=50):
|
||||||
|
a = random.randint(0, maxAddend)
|
||||||
|
# The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well
|
||||||
|
b = random.randint(0, min((maxSum - a), maxAddend))
|
||||||
|
c = a + b
|
||||||
|
problem = str(a) + "+" + str(b) + "="
|
||||||
|
solution = str(c)
|
||||||
|
return problem, solution
|
||||||
|
|
||||||
|
|
||||||
|
addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
|
||||||
16
mathgenerator/funcs/angleBtwVectorsFunc.py
Normal file
16
mathgenerator/funcs/angleBtwVectorsFunc.py
Normal file
@@ -0,0 +1,16 @@
|
|||||||
|
from .euclidianNormFunc import euclidianNormFunc
|
||||||
|
import math
|
||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def angleBtwVectorsFunc(v1: list, v2: list):
|
||||||
|
sum = 0
|
||||||
|
for i in v1:
|
||||||
|
for j in v2:
|
||||||
|
sum += i * j
|
||||||
|
|
||||||
|
mags = euclidianNormFunc(v1) * euclidianNormFunc(v2)
|
||||||
|
problem = f"angle between the vectors {v1} and {v2} is:"
|
||||||
|
solution = math.acos(sum / mags)
|
||||||
|
# would return the answer in radians
|
||||||
|
return problem, solution
|
||||||
15
mathgenerator/funcs/areaOfTriangleFunc.py
Normal file
15
mathgenerator/funcs/areaOfTriangleFunc.py
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
|
||||||
|
a = random.randint(1, maxA)
|
||||||
|
b = random.randint(1, maxB)
|
||||||
|
c = random.randint(1, maxC)
|
||||||
|
|
||||||
|
s = (a + b + c) / 2
|
||||||
|
area = (s * (s - a) * (s - b) * (s - c))**0.5
|
||||||
|
|
||||||
|
problem = "Area of triangle with side lengths: " + \
|
||||||
|
str(a) + " " + str(b) + " " + str(c) + " = "
|
||||||
|
solution = area
|
||||||
|
return problem, solution
|
||||||
12
mathgenerator/funcs/arithmeticProgressionSumFunc.py
Normal file
12
mathgenerator/funcs/arithmeticProgressionSumFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
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
|
||||||
12
mathgenerator/funcs/arithmeticProgressionTermFunc.py
Normal file
12
mathgenerator/funcs/arithmeticProgressionTermFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
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 problen, solution
|
||||||
25
mathgenerator/funcs/basicAlgebraFunc.py
Normal file
25
mathgenerator/funcs/basicAlgebraFunc.py
Normal file
@@ -0,0 +1,25 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def basicAlgebraFunc(maxVariable=10):
|
||||||
|
a = random.randint(1, maxVariable)
|
||||||
|
b = random.randint(1, maxVariable)
|
||||||
|
c = random.randint(b, maxVariable)
|
||||||
|
|
||||||
|
# calculate gcd
|
||||||
|
def calculate_gcd(x, y):
|
||||||
|
while (y):
|
||||||
|
x, y = y, x % y
|
||||||
|
return x
|
||||||
|
|
||||||
|
i = calculate_gcd((c - b), a)
|
||||||
|
x = f"{(c - b)//i}/{a//i}"
|
||||||
|
|
||||||
|
if (c - b == 0):
|
||||||
|
x = "0"
|
||||||
|
elif a == 1 or a == i:
|
||||||
|
x = f"{c - b}"
|
||||||
|
|
||||||
|
problem = f"{a}x + {b} = {c}"
|
||||||
|
solution = x
|
||||||
|
return problem, solution
|
||||||
25
mathgenerator/funcs/basicTrigonometryFunc.py
Normal file
25
mathgenerator/funcs/basicTrigonometryFunc.py
Normal file
@@ -0,0 +1,25 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
# Handles degrees in quadrant one
|
||||||
|
def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90],
|
||||||
|
functions=["sin", "cos", "tan"]):
|
||||||
|
angle = random.choice(angles)
|
||||||
|
function = random.choice(functions)
|
||||||
|
|
||||||
|
problem = f"What is {function}({angle})?"
|
||||||
|
|
||||||
|
expression = 'math.' + function + '(math.radians(angle))'
|
||||||
|
result_fraction_map = {
|
||||||
|
0.0: "0",
|
||||||
|
0.5: "1/2",
|
||||||
|
0.71: "1/√2",
|
||||||
|
0.87: "√3/2",
|
||||||
|
1.0: "1",
|
||||||
|
0.58: "1/√3",
|
||||||
|
1.73: "√3"
|
||||||
|
}
|
||||||
|
|
||||||
|
solution = result_fraction_map[round(eval(expression), 2)] if round(
|
||||||
|
eval(expression), 2) <= 99999 else "∞" # for handling the ∞ condition
|
||||||
|
return problem, solution
|
||||||
28
mathgenerator/funcs/binary2sComplement.py
Normal file
28
mathgenerator/funcs/binary2sComplement.py
Normal file
@@ -0,0 +1,28 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def binary2sComplementFunc(maxDigits=10):
|
||||||
|
digits = random.randint(1, maxDigits)
|
||||||
|
question = ''.join([str(random.randint(0, 1))
|
||||||
|
for i in range(digits)]).lstrip('0')
|
||||||
|
|
||||||
|
answer = []
|
||||||
|
for i in question:
|
||||||
|
answer.append(str(int(not bool(int(i)))))
|
||||||
|
|
||||||
|
carry = True
|
||||||
|
j = len(answer) - 1
|
||||||
|
while j >= 0:
|
||||||
|
if answer[j] == '0':
|
||||||
|
answer[j] = '1'
|
||||||
|
carry = False
|
||||||
|
break
|
||||||
|
answer[j] = '0'
|
||||||
|
j -= 1
|
||||||
|
|
||||||
|
if j == 0 and carry is True:
|
||||||
|
answer.insert(0, '1')
|
||||||
|
|
||||||
|
problem = "2's complement of " + question + " ="
|
||||||
|
solution = ''.join(answer).lstrip('0')
|
||||||
|
return problem, solution
|
||||||
15
mathgenerator/funcs/binaryComplement1sFunc.py
Normal file
15
mathgenerator/funcs/binaryComplement1sFunc.py
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def binaryComplement1sFunc(maxDigits=10):
|
||||||
|
question = ''
|
||||||
|
answer = ''
|
||||||
|
|
||||||
|
for i in range(random.randint(1, maxDigits)):
|
||||||
|
temp = str(random.randint(0, 1))
|
||||||
|
question += temp
|
||||||
|
answer += "0" if temp == "1" else "1"
|
||||||
|
|
||||||
|
problem = question + "="
|
||||||
|
solution = answer
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/binaryToHexFunc.py
Normal file
11
mathgenerator/funcs/binaryToHexFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def binaryToHexFunc(max_dig=10):
|
||||||
|
problem = ''
|
||||||
|
for i in range(random.randint(1, max_dig)):
|
||||||
|
temp = str(random.randint(0, 1))
|
||||||
|
problem += temp
|
||||||
|
|
||||||
|
solution = hex(int(problem, 2))
|
||||||
|
return problem, solution
|
||||||
14
mathgenerator/funcs/celsiustofahrenheit.py
Normal file
14
mathgenerator/funcs/celsiustofahrenheit.py
Normal file
@@ -0,0 +1,14 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
from ..__init__ import Generator
|
||||||
|
|
||||||
|
|
||||||
|
def celsiustofahrenheitFunc(maxTemp=100):
|
||||||
|
celsius = random.randint(-50, maxTemp)
|
||||||
|
fahrenheit = (celsius * (9 / 5)) + 32
|
||||||
|
problem = "Convert " + str(celsius) + " degrees Celsius to degrees Fahrenheit ="
|
||||||
|
solution = str(fahrenheit)
|
||||||
|
return problem, solution
|
||||||
|
|
||||||
|
|
||||||
|
celsiustofahrenheit = Generator("Celsius To Fahrenheit", 81,
|
||||||
|
"(C +(9/5))+32=", "F", celsiustofahrenheitFunc)
|
||||||
19
mathgenerator/funcs/combinationsFunc.py
Normal file
19
mathgenerator/funcs/combinationsFunc.py
Normal file
@@ -0,0 +1,19 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def combinationsFunc(maxlength=20):
|
||||||
|
def factorial(a):
|
||||||
|
d = 1
|
||||||
|
for i in range(a):
|
||||||
|
a = (i + 1) * d
|
||||||
|
d = a
|
||||||
|
return d
|
||||||
|
|
||||||
|
a = random.randint(10, maxlength)
|
||||||
|
b = random.randint(0, 9)
|
||||||
|
|
||||||
|
solution = int(factorial(a) / (factorial(b) * factorial(a - b)))
|
||||||
|
problem = "Number of combinations from {} objects picked {} at a time ".format(
|
||||||
|
a, b)
|
||||||
|
|
||||||
|
return problem, solution
|
||||||
24
mathgenerator/funcs/commonFactorsFunc.py
Normal file
24
mathgenerator/funcs/commonFactorsFunc.py
Normal file
@@ -0,0 +1,24 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def commonFactorsFunc(maxVal=100):
|
||||||
|
a = x = random.randint(1, maxVal)
|
||||||
|
b = y = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
if (x < y):
|
||||||
|
min = x
|
||||||
|
else:
|
||||||
|
min = y
|
||||||
|
|
||||||
|
count = 0
|
||||||
|
arr = []
|
||||||
|
|
||||||
|
for i in range(1, min + 1):
|
||||||
|
if (x % i == 0):
|
||||||
|
if (y % i == 0):
|
||||||
|
count = count + 1
|
||||||
|
arr.append(i)
|
||||||
|
|
||||||
|
problem = f"Common Factors of {a} and {b} = "
|
||||||
|
solution = arr
|
||||||
|
return problem, solution
|
||||||
26
mathgenerator/funcs/compareFractionsFunc.py
Normal file
26
mathgenerator/funcs/compareFractionsFunc.py
Normal file
@@ -0,0 +1,26 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def compareFractionsFunc(maxVal=10):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
c = random.randint(1, maxVal)
|
||||||
|
d = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
while (a == b):
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
while (c == d):
|
||||||
|
d = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
first = a / b
|
||||||
|
second = c / d
|
||||||
|
|
||||||
|
if (first > second):
|
||||||
|
solution = ">"
|
||||||
|
elif (first < second):
|
||||||
|
solution = "<"
|
||||||
|
else:
|
||||||
|
solution = "="
|
||||||
|
|
||||||
|
problem = f"Which symbol represents the comparison between {a}/{b} and {c}/{d}?"
|
||||||
|
return problem, solution
|
||||||
18
mathgenerator/funcs/compoundInterestFunc.py
Normal file
18
mathgenerator/funcs/compoundInterestFunc.py
Normal file
@@ -0,0 +1,18 @@
|
|||||||
|
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
|
||||||
31
mathgenerator/funcs/confidenceIntervalFunc.py
Normal file
31
mathgenerator/funcs/confidenceIntervalFunc.py
Normal file
@@ -0,0 +1,31 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def confidenceIntervalFunc():
|
||||||
|
n = random.randint(20, 40)
|
||||||
|
j = random.randint(0, 3)
|
||||||
|
|
||||||
|
lst = random.sample(range(200, 300), n)
|
||||||
|
lst_per = [80, 90, 95, 99]
|
||||||
|
lst_t = [1.282, 1.645, 1.960, 2.576]
|
||||||
|
|
||||||
|
mean = 0
|
||||||
|
sd = 0
|
||||||
|
|
||||||
|
for i in lst:
|
||||||
|
count = i + mean
|
||||||
|
mean = count
|
||||||
|
|
||||||
|
mean = mean / n
|
||||||
|
|
||||||
|
for i in lst:
|
||||||
|
x = (i - mean)**2 + sd
|
||||||
|
sd = x
|
||||||
|
|
||||||
|
sd = sd / n
|
||||||
|
standard_error = lst_t[j] * math.sqrt(sd / n)
|
||||||
|
|
||||||
|
problem = 'The confidence interval for sample {} with {}% confidence is'.format(
|
||||||
|
[x for x in lst], lst_per[j])
|
||||||
|
solution = '({}, {})'.format(mean + standard_error, mean - standard_error)
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/cubeRootFunc.py
Normal file
10
mathgenerator/funcs/cubeRootFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def cubeRootFunc(minNo=1, maxNo=1000):
|
||||||
|
b = random.randint(minNo, maxNo)
|
||||||
|
a = b**(1 / 3)
|
||||||
|
|
||||||
|
problem = "cuberoot of " + str(b) + " upto 2 decimal places is:"
|
||||||
|
solution = str(round(a, 2))
|
||||||
|
return problem, solution
|
||||||
28
mathgenerator/funcs/dataSummaryFunc.py
Normal file
28
mathgenerator/funcs/dataSummaryFunc.py
Normal file
@@ -0,0 +1,28 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def dataSummaryFunc(number_values=15, minval=5, maxval=50):
|
||||||
|
random_list = []
|
||||||
|
|
||||||
|
for i in range(number_values):
|
||||||
|
n = random.randint(minval, maxval)
|
||||||
|
random_list.append(n)
|
||||||
|
|
||||||
|
a = sum(random_list)
|
||||||
|
mean = a / number_values
|
||||||
|
|
||||||
|
var = 0
|
||||||
|
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)
|
||||||
|
|
||||||
|
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)
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/deciToHexaFunc.py
Normal file
10
mathgenerator/funcs/deciToHexaFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def deciToHexaFunc(max_dec=1000):
|
||||||
|
a = random.randint(0, max_dec)
|
||||||
|
b = hex(a)
|
||||||
|
problem = "Binary of " + str(a) + "="
|
||||||
|
solution = str(b)
|
||||||
|
|
||||||
|
return problem, solution
|
||||||
13
mathgenerator/funcs/determinantToMatrix22.py
Normal file
13
mathgenerator/funcs/determinantToMatrix22.py
Normal file
@@ -0,0 +1,13 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def determinantToMatrix22(maxMatrixVal=100):
|
||||||
|
a = random.randint(0, maxMatrixVal)
|
||||||
|
b = random.randint(0, maxMatrixVal)
|
||||||
|
c = random.randint(0, maxMatrixVal)
|
||||||
|
d = random.randint(0, maxMatrixVal)
|
||||||
|
|
||||||
|
determinant = a * d - b * c
|
||||||
|
problem = f"Det([[{a}, {b}], [{c}, {d}]]) = "
|
||||||
|
solution = f" {determinant}"
|
||||||
|
return problem, solution
|
||||||
14
mathgenerator/funcs/distanceTwoPointsFunc.py
Normal file
14
mathgenerator/funcs/distanceTwoPointsFunc.py
Normal file
@@ -0,0 +1,14 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
|
||||||
|
point1X = random.randint(minValXY, maxValXY + 1)
|
||||||
|
point1Y = random.randint(minValXY, maxValXY + 1)
|
||||||
|
point2X = random.randint(minValXY, maxValXY + 1)
|
||||||
|
point2Y = random.randint(minValXY, maxValXY + 1)
|
||||||
|
|
||||||
|
distanceSq = (point1X - point2X)**2 + (point1Y - point2Y)**2
|
||||||
|
|
||||||
|
solution = f"sqrt({distanceSq})"
|
||||||
|
problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})"
|
||||||
|
return problem, solution
|
||||||
32
mathgenerator/funcs/divideFractionsFunc.py
Normal file
32
mathgenerator/funcs/divideFractionsFunc.py
Normal file
@@ -0,0 +1,32 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def divideFractionsFunc(maxVal=10):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
while (a == b):
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
c = random.randint(1, maxVal)
|
||||||
|
d = random.randint(1, maxVal)
|
||||||
|
while (c == d):
|
||||||
|
d = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
def calculate_gcd(x, y):
|
||||||
|
while (y):
|
||||||
|
x, y = y, x % y
|
||||||
|
return x
|
||||||
|
|
||||||
|
tmp_n = a * d
|
||||||
|
tmp_d = b * c
|
||||||
|
|
||||||
|
gcd = calculate_gcd(tmp_n, tmp_d)
|
||||||
|
x = f"{tmp_n//gcd}/{tmp_d//gcd}"
|
||||||
|
|
||||||
|
if (tmp_d == 1 or tmp_d == gcd):
|
||||||
|
x = f"{tmp_n//gcd}"
|
||||||
|
# for equal numerator and denominators
|
||||||
|
problem = f"({a}/{b})/({c}/{d})"
|
||||||
|
solution = x
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/divisionFunc.py
Normal file
11
mathgenerator/funcs/divisionFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def divisionFunc(maxRes=99, maxDivid=99):
|
||||||
|
a = random.randint(0, maxDivid)
|
||||||
|
b = random.randint(0, min(maxRes, maxDivid))
|
||||||
|
c = a / b
|
||||||
|
|
||||||
|
problem = str(a) + "/" + str(b) + "="
|
||||||
|
solution = str(c)
|
||||||
|
return problem, solution
|
||||||
13
mathgenerator/funcs/divisionToIntFunc.py
Normal file
13
mathgenerator/funcs/divisionToIntFunc.py
Normal file
@@ -0,0 +1,13 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def divisionToIntFunc(maxA=25, maxB=25):
|
||||||
|
a = random.randint(1, maxA)
|
||||||
|
b = random.randint(1, maxB)
|
||||||
|
|
||||||
|
divisor = a * b
|
||||||
|
dividend = random.choice([a, b])
|
||||||
|
|
||||||
|
problem = f"{divisor}/{dividend} = "
|
||||||
|
solution = int(divisor / dividend)
|
||||||
|
return problem, solution
|
||||||
7
mathgenerator/funcs/euclidianNormFunc.py
Normal file
7
mathgenerator/funcs/euclidianNormFunc.py
Normal file
@@ -0,0 +1,7 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def euclidianNormFunc(v1: list):
|
||||||
|
problem = f"Euclidian norm or L2 norm of the vector{v1} is:"
|
||||||
|
solution = sqrt(sum([i**2 for i in v1]))
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/exponentiationFunc.py
Normal file
10
mathgenerator/funcs/exponentiationFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def exponentiationFunc(maxBase=20, maxExpo=10):
|
||||||
|
base = random.randint(1, maxBase)
|
||||||
|
expo = random.randint(1, maxExpo)
|
||||||
|
|
||||||
|
problem = f"{base}^{expo} ="
|
||||||
|
solution = str(base**expo)
|
||||||
|
return problem, solution
|
||||||
15
mathgenerator/funcs/factorialFunc.py
Normal file
15
mathgenerator/funcs/factorialFunc.py
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def factorialFunc(maxInput=6):
|
||||||
|
a = random.randint(0, maxInput)
|
||||||
|
n = a
|
||||||
|
|
||||||
|
problem = str(a) + "! = "
|
||||||
|
b = 1
|
||||||
|
|
||||||
|
while a != 1 and n > 0:
|
||||||
|
b *= n
|
||||||
|
n -= 1
|
||||||
|
solution = str(b)
|
||||||
|
return problem, solution
|
||||||
29
mathgenerator/funcs/factoringFunc.py
Normal file
29
mathgenerator/funcs/factoringFunc.py
Normal file
@@ -0,0 +1,29 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def factoringFunc(range_x1=10, range_x2=10):
|
||||||
|
x1 = random.randint(-range_x1, range_x1)
|
||||||
|
x2 = random.randint(-range_x2, range_x2)
|
||||||
|
|
||||||
|
def intParser(z):
|
||||||
|
if (z == 0):
|
||||||
|
return ""
|
||||||
|
if (z > 0):
|
||||||
|
return "+" + str(z)
|
||||||
|
if (z < 0):
|
||||||
|
return "-" + str(abs(z))
|
||||||
|
|
||||||
|
b = intParser(x1 + x2)
|
||||||
|
c = intParser(x1 * x2)
|
||||||
|
|
||||||
|
if b == "+1":
|
||||||
|
b = "+"
|
||||||
|
if b == "":
|
||||||
|
problem = f"x^2{c}"
|
||||||
|
else:
|
||||||
|
problem = f"x^2{b}x{c}"
|
||||||
|
|
||||||
|
x1 = intParser(x1)
|
||||||
|
x2 = intParser(x2)
|
||||||
|
solution = f"(x{x1})(x{x2})"
|
||||||
|
return problem, solution
|
||||||
21
mathgenerator/funcs/fibonacciSeriesFunc.py
Normal file
21
mathgenerator/funcs/fibonacciSeriesFunc.py
Normal file
@@ -0,0 +1,21 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def fibonacciSeriesFunc(minNo=1):
|
||||||
|
n = random.randint(minNo, 20)
|
||||||
|
|
||||||
|
def createFibList(n):
|
||||||
|
list = []
|
||||||
|
for i in range(n):
|
||||||
|
if i < 2:
|
||||||
|
list.append(i)
|
||||||
|
else:
|
||||||
|
val = list[i - 1] + list[i - 2]
|
||||||
|
list.append(val)
|
||||||
|
return list
|
||||||
|
|
||||||
|
fibList = createFibList(n)
|
||||||
|
|
||||||
|
problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?"
|
||||||
|
solution = fibList
|
||||||
|
return problem, solution
|
||||||
14
mathgenerator/funcs/fourthAngleOfQuadriFunc.py
Normal file
14
mathgenerator/funcs/fourthAngleOfQuadriFunc.py
Normal file
@@ -0,0 +1,14 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def fourthAngleOfQuadriFunc(maxAngle=180):
|
||||||
|
angle1 = random.randint(1, maxAngle)
|
||||||
|
angle2 = random.randint(1, 240 - angle1)
|
||||||
|
angle3 = random.randint(1, 340 - (angle1 + angle2))
|
||||||
|
|
||||||
|
sum_ = angle1 + angle2 + angle3
|
||||||
|
angle4 = 360 - sum_
|
||||||
|
|
||||||
|
problem = f"Fourth angle of quadrilateral with angles {angle1} , {angle2}, {angle3} ="
|
||||||
|
solution = angle4
|
||||||
|
return problem, solution
|
||||||
12
mathgenerator/funcs/gcdFunc.py
Normal file
12
mathgenerator/funcs/gcdFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def gcdFunc(maxVal=20):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
x, y = a, b
|
||||||
|
while y:
|
||||||
|
x, y = y, x % y
|
||||||
|
problem = f"GCD of {a} and {b} = "
|
||||||
|
solution = str(x)
|
||||||
|
return problem, solution
|
||||||
23
mathgenerator/funcs/geomProgrFunc.py
Normal file
23
mathgenerator/funcs/geomProgrFunc.py
Normal file
@@ -0,0 +1,23 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def geomProgrFunc(number_values=6,
|
||||||
|
min_value=2,
|
||||||
|
max_value=12,
|
||||||
|
n_term=7,
|
||||||
|
sum_term=5):
|
||||||
|
r = random.randint(min_value, max_value)
|
||||||
|
a = random.randint(min_value, max_value)
|
||||||
|
n_term = random.randint(number_values, number_values + 5)
|
||||||
|
sum_term = random.randint(number_values, number_values + 5)
|
||||||
|
GP = []
|
||||||
|
for i in range(number_values):
|
||||||
|
GP.append(a * (r**i))
|
||||||
|
problem = "For the given GP " + str(
|
||||||
|
GP) + " ,Find the value of a,common ratio," + str(
|
||||||
|
n_term) + "th term value, sum upto " + str(sum_term) + "th term"
|
||||||
|
value_nth_term = a * (r**(n_term - 1))
|
||||||
|
sum_till_nth_term = a * ((r**sum_term - 1) / (r - 1))
|
||||||
|
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
|
||||||
27
mathgenerator/funcs/geometricMeanFunc.py
Normal file
27
mathgenerator/funcs/geometricMeanFunc.py
Normal file
@@ -0,0 +1,27 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def geometricMeanFunc(maxValue=100, maxNum=4):
|
||||||
|
a = random.randint(1, maxValue)
|
||||||
|
b = random.randint(1, maxValue)
|
||||||
|
c = random.randint(1, maxValue)
|
||||||
|
d = random.randint(1, maxValue)
|
||||||
|
num = random.randint(2, 4)
|
||||||
|
if num == 2:
|
||||||
|
product = a * b
|
||||||
|
elif num == 3:
|
||||||
|
product = a * b * c
|
||||||
|
elif num == 4:
|
||||||
|
product = a * b * c * d
|
||||||
|
|
||||||
|
ans = product**(1 / num)
|
||||||
|
if num == 2:
|
||||||
|
problem = f"Geometric mean of {num} numbers {a} and {b} = "
|
||||||
|
solution = f"({a}*{b})^(1/{num}) = {ans}"
|
||||||
|
elif num == 3:
|
||||||
|
problem = f"Geometric mean of {num} numbers {a} , {b} and {c} = "
|
||||||
|
solution = f"({a}*{b}*{c})^(1/{num}) = {ans}"
|
||||||
|
elif num == 4:
|
||||||
|
problem = f"Geometric mean of {num} numbers {a} , {b} , {c} , {d} = "
|
||||||
|
solution = f"({a}*{b}*{c}*{d})^(1/{num}) = {ans}"
|
||||||
|
return problem, solution
|
||||||
28
mathgenerator/funcs/harmonicMeanFunc.py
Normal file
28
mathgenerator/funcs/harmonicMeanFunc.py
Normal file
@@ -0,0 +1,28 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def harmonicMeanFunc(maxValue=100, maxNum=4):
|
||||||
|
|
||||||
|
a = random.randint(1, maxValue)
|
||||||
|
b = random.randint(1, maxValue)
|
||||||
|
c = random.randint(1, maxValue)
|
||||||
|
d = random.randint(1, maxValue)
|
||||||
|
num = random.randint(2, 4)
|
||||||
|
if num == 2:
|
||||||
|
sum = (1 / a) + (1 / b)
|
||||||
|
elif num == 3:
|
||||||
|
sum = (1 / a) + (1 / b) + (1 / c)
|
||||||
|
elif num == 4:
|
||||||
|
sum = (1 / a) + (1 / b) + (1 / c) + (1 / d)
|
||||||
|
|
||||||
|
ans = num / sum
|
||||||
|
if num == 2:
|
||||||
|
problem = f"Harmonic mean of {num} numbers {a} and {b} = "
|
||||||
|
solution = f" {num}/((1/{a}) + (1/{b})) = {ans}"
|
||||||
|
elif num == 3:
|
||||||
|
problem = f"Harmonic mean of {num} numbers {a} , {b} and {c} = "
|
||||||
|
solution = f" {num}/((1/{a}) + (1/{b}) + (1/{c})) = {ans}"
|
||||||
|
elif num == 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
|
||||||
12
mathgenerator/funcs/hcfFunc.py
Normal file
12
mathgenerator/funcs/hcfFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def hcfFunc(maxVal=20):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
x, y = a, b
|
||||||
|
while (y):
|
||||||
|
x, y = y, x % y
|
||||||
|
problem = f"HCF of {a} and {b} = "
|
||||||
|
solution = str(x)
|
||||||
|
return problem, solution
|
||||||
66
mathgenerator/funcs/intersectionOfTwoLinesFunc.py
Normal file
66
mathgenerator/funcs/intersectionOfTwoLinesFunc.py
Normal file
@@ -0,0 +1,66 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def intersectionOfTwoLinesFunc(minM=-10,
|
||||||
|
maxM=10,
|
||||||
|
minB=-10,
|
||||||
|
maxB=10,
|
||||||
|
minDenominator=1,
|
||||||
|
maxDenominator=6):
|
||||||
|
def generateEquationString(m, b):
|
||||||
|
"""
|
||||||
|
Generates an equation given the slope and intercept.
|
||||||
|
It handles cases where m is fractional.
|
||||||
|
It also ensures that we don't have weird signs such as y = mx + -b.
|
||||||
|
"""
|
||||||
|
if m[1] == 1:
|
||||||
|
m = m[0]
|
||||||
|
else:
|
||||||
|
m = f"{m[0]}/{m[1]}"
|
||||||
|
base = f"y = {m}x"
|
||||||
|
if b > 0:
|
||||||
|
return f"{base} + {b}"
|
||||||
|
elif b < 0:
|
||||||
|
return f"{base} - {b * -1}"
|
||||||
|
else:
|
||||||
|
return base
|
||||||
|
|
||||||
|
def fractionToString(x):
|
||||||
|
"""
|
||||||
|
Converts the given fractions.Fraction into a string.
|
||||||
|
"""
|
||||||
|
if x.denominator == 1:
|
||||||
|
x = x.numerator
|
||||||
|
else:
|
||||||
|
x = f"{x.numerator}/{x.denominator}"
|
||||||
|
return x
|
||||||
|
|
||||||
|
m1 = (random.randint(minM,
|
||||||
|
maxM), random.randint(minDenominator, maxDenominator))
|
||||||
|
m2 = (random.randint(minM,
|
||||||
|
maxM), random.randint(minDenominator, maxDenominator))
|
||||||
|
|
||||||
|
b1 = random.randint(minB, maxB)
|
||||||
|
b2 = random.randint(minB, maxB)
|
||||||
|
|
||||||
|
equation1 = generateEquationString(m1, b1)
|
||||||
|
equation2 = generateEquationString(m2, b2)
|
||||||
|
|
||||||
|
problem = "Find the point of intersection of the two lines: "
|
||||||
|
problem += f"{equation1} and {equation2}"
|
||||||
|
|
||||||
|
m1 = fractions.Fraction(*m1)
|
||||||
|
m2 = fractions.Fraction(*m2)
|
||||||
|
# if m1 == m2 then the slopes are equal
|
||||||
|
# This can happen if both line are the same
|
||||||
|
# Or if they are parallel
|
||||||
|
# In either case there is no intersection
|
||||||
|
|
||||||
|
if m1 == m2:
|
||||||
|
solution = "No Solution"
|
||||||
|
else:
|
||||||
|
intersection_x = (b1 - b2) / (m2 - m1)
|
||||||
|
intersection_y = ((m2 * b1) - (m1 * b2)) / (m2 - m1)
|
||||||
|
solution = f"({fractionToString(intersection_x)}, {fractionToString(intersection_y)})"
|
||||||
|
|
||||||
|
return problem, solution
|
||||||
20
mathgenerator/funcs/isTriangleValidFunc.py
Normal file
20
mathgenerator/funcs/isTriangleValidFunc.py
Normal file
@@ -0,0 +1,20 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def isTriangleValidFunc(maxSideLength=50):
|
||||||
|
sideA = random.randint(1, maxSideLength)
|
||||||
|
sideB = random.randint(1, maxSideLength)
|
||||||
|
sideC = random.randint(1, maxSideLength)
|
||||||
|
|
||||||
|
sideSums = [sideA + sideB, sideB + sideC, sideC + sideA]
|
||||||
|
sides = [sideC, sideA, sideB]
|
||||||
|
|
||||||
|
exists = True & (sides[0] < sideSums[0]) & (sides[1] < sideSums[1]) & (
|
||||||
|
sides[2] < sideSums[2])
|
||||||
|
problem = f"Does triangle with sides {sideA}, {sideB} and {sideC} exist?"
|
||||||
|
|
||||||
|
if exists:
|
||||||
|
solution = "Yes"
|
||||||
|
return problem, solution
|
||||||
|
solution = "No"
|
||||||
|
return problem, solution
|
||||||
17
mathgenerator/funcs/lcmFunc.py
Normal file
17
mathgenerator/funcs/lcmFunc.py
Normal file
@@ -0,0 +1,17 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def lcmFunc(maxVal=20):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
c = a * b
|
||||||
|
x, y = a, b
|
||||||
|
|
||||||
|
while y:
|
||||||
|
x, y = y, x % y
|
||||||
|
d = c // x
|
||||||
|
|
||||||
|
problem = f"LCM of {a} and {b} ="
|
||||||
|
solution = str(d)
|
||||||
|
|
||||||
|
return problem, solution
|
||||||
29
mathgenerator/funcs/linearEquationsFunc.py
Normal file
29
mathgenerator/funcs/linearEquationsFunc.py
Normal file
@@ -0,0 +1,29 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
|
||||||
|
if n > 10:
|
||||||
|
print("[!] n cannot be greater than 10")
|
||||||
|
return None, None
|
||||||
|
|
||||||
|
vars = ['x', 'y', 'z', 'a', 'b', 'c', 'd', 'e', 'f', 'g'][:n]
|
||||||
|
soln = [random.randint(-varRange, varRange) for i in range(n)]
|
||||||
|
problem = list()
|
||||||
|
solution = ", ".join(
|
||||||
|
["{} = {}".format(vars[i], soln[i]) for i in range(n)])
|
||||||
|
|
||||||
|
for _ in range(n):
|
||||||
|
coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)]
|
||||||
|
res = sum([coeff[i] * soln[i] for i in range(n)])
|
||||||
|
prob = [
|
||||||
|
"{}{}".format(coeff[i], vars[i]) if coeff[i] != 0 else ""
|
||||||
|
for i in range(n)
|
||||||
|
]
|
||||||
|
|
||||||
|
while "" in prob:
|
||||||
|
prob.remove("")
|
||||||
|
prob = " + ".join(prob) + " = " + str(res)
|
||||||
|
problem.append(prob)
|
||||||
|
|
||||||
|
problem = "\n".join(problem)
|
||||||
|
return problem, solution
|
||||||
12
mathgenerator/funcs/logFunc.py
Normal file
12
mathgenerator/funcs/logFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def logFunc(maxBase=3, maxVal=8):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
b = random.randint(2, maxBase)
|
||||||
|
c = pow(b, a)
|
||||||
|
|
||||||
|
problem = "log" + str(b) + "(" + str(c) + ")"
|
||||||
|
solution = str(a)
|
||||||
|
|
||||||
|
return problem, solution
|
||||||
78
mathgenerator/funcs/matrixInversion.py
Normal file
78
mathgenerator/funcs/matrixInversion.py
Normal file
@@ -0,0 +1,78 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
import sympy
|
||||||
|
|
||||||
|
|
||||||
|
def matrixInversion(SquareMatrixDimension=3,
|
||||||
|
MaxMatrixElement=99,
|
||||||
|
OnlyIntegerElementsInInvertedMatrix=False):
|
||||||
|
if OnlyIntegerElementsInInvertedMatrix is True:
|
||||||
|
isItOk = False
|
||||||
|
Mat = list()
|
||||||
|
while (isItOk is False):
|
||||||
|
Mat = list()
|
||||||
|
for i in range(0, SquareMatrixDimension):
|
||||||
|
z = list()
|
||||||
|
for j in range(0, SquareMatrixDimension):
|
||||||
|
z.append(0)
|
||||||
|
z[i] = 1
|
||||||
|
Mat.append(z)
|
||||||
|
MaxAllowedMatrixElement = math.ceil(
|
||||||
|
pow(MaxMatrixElement, 1 / (SquareMatrixDimension)))
|
||||||
|
randomlist = random.sample(range(0, MaxAllowedMatrixElement + 1),
|
||||||
|
SquareMatrixDimension)
|
||||||
|
|
||||||
|
for i in range(0, SquareMatrixDimension):
|
||||||
|
if i == SquareMatrixDimension - 1:
|
||||||
|
Mat[0] = [
|
||||||
|
j + (k * randomlist[i])
|
||||||
|
for j, k in zip(Mat[0], Mat[i])
|
||||||
|
]
|
||||||
|
else:
|
||||||
|
Mat[i + 1] = [
|
||||||
|
j + (k * randomlist[i])
|
||||||
|
for j, k in zip(Mat[i + 1], Mat[i])
|
||||||
|
]
|
||||||
|
|
||||||
|
for i in range(1, SquareMatrixDimension - 1):
|
||||||
|
Mat[i] = [
|
||||||
|
sum(i) for i in zip(Mat[SquareMatrixDimension - 1], Mat[i])
|
||||||
|
]
|
||||||
|
|
||||||
|
isItOk = True
|
||||||
|
for i in Mat:
|
||||||
|
for j in i:
|
||||||
|
if j > MaxMatrixElement:
|
||||||
|
isItOk = False
|
||||||
|
break
|
||||||
|
if isItOk is False:
|
||||||
|
break
|
||||||
|
|
||||||
|
random.shuffle(Mat)
|
||||||
|
Mat = sympy.Matrix(Mat)
|
||||||
|
Mat = sympy.Matrix.transpose(Mat)
|
||||||
|
Mat = Mat.tolist()
|
||||||
|
random.shuffle(Mat)
|
||||||
|
Mat = sympy.Matrix(Mat)
|
||||||
|
Mat = sympy.Matrix.transpose(Mat)
|
||||||
|
|
||||||
|
else:
|
||||||
|
randomlist = list(sympy.primerange(0, MaxMatrixElement + 1))
|
||||||
|
plist = random.sample(randomlist, SquareMatrixDimension)
|
||||||
|
randomlist = random.sample(
|
||||||
|
range(0, MaxMatrixElement + 1),
|
||||||
|
SquareMatrixDimension * SquareMatrixDimension)
|
||||||
|
randomlist = list(set(randomlist) - set(plist))
|
||||||
|
n_list = random.sample(
|
||||||
|
randomlist, SquareMatrixDimension * (SquareMatrixDimension - 1))
|
||||||
|
Mat = list()
|
||||||
|
for i in range(0, SquareMatrixDimension):
|
||||||
|
z = list()
|
||||||
|
z.append(plist[i])
|
||||||
|
for j in range(0, SquareMatrixDimension - 1):
|
||||||
|
z.append(n_list[(i * SquareMatrixDimension) + j - i])
|
||||||
|
random.shuffle(z)
|
||||||
|
Mat.append(z)
|
||||||
|
Mat = sympy.Matrix(Mat)
|
||||||
|
problem = 'Inverse of Matrix ' + str(Mat) + ' is:'
|
||||||
|
solution = str(sympy.Matrix.inv(Mat))
|
||||||
|
return problem, solution
|
||||||
53
mathgenerator/funcs/matrixMultiplicationFunc.py
Normal file
53
mathgenerator/funcs/matrixMultiplicationFunc.py
Normal file
@@ -0,0 +1,53 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def matrixMultiplicationFunc(maxVal=100):
|
||||||
|
m = random.randint(2, 10)
|
||||||
|
n = random.randint(2, 10)
|
||||||
|
k = random.randint(2, 10)
|
||||||
|
|
||||||
|
# generate matrices a and b
|
||||||
|
a = []
|
||||||
|
for r in range(m):
|
||||||
|
a.append([])
|
||||||
|
for c in range(n):
|
||||||
|
a[r].append(random.randint(-maxVal, maxVal))
|
||||||
|
b = []
|
||||||
|
for r in range(n):
|
||||||
|
b.append([])
|
||||||
|
for c in range(k):
|
||||||
|
b[r].append(random.randint(-maxVal, maxVal))
|
||||||
|
|
||||||
|
res = []
|
||||||
|
a_string = matrixMultiplicationFuncHelper(a)
|
||||||
|
b_string = matrixMultiplicationFuncHelper(b)
|
||||||
|
|
||||||
|
for r in range(m):
|
||||||
|
res.append([])
|
||||||
|
|
||||||
|
for c in range(k):
|
||||||
|
temp = 0
|
||||||
|
|
||||||
|
for t in range(n):
|
||||||
|
temp += a[r][t] * b[t][c]
|
||||||
|
res[r].append(temp)
|
||||||
|
|
||||||
|
# consider using a, b instead of a_string, b_string if the problem doesn't look right
|
||||||
|
problem = f"Multiply \n{a_string}\n and \n\n{b_string}"
|
||||||
|
solution = matrixMultiplicationFuncHelper(res)
|
||||||
|
return problem, solution
|
||||||
|
|
||||||
|
|
||||||
|
def matrixMultiplicationFuncHelper(inp):
|
||||||
|
m = len(inp)
|
||||||
|
n = len(inp[0])
|
||||||
|
|
||||||
|
string = "[["
|
||||||
|
for i in range(m):
|
||||||
|
for j in range(n):
|
||||||
|
string += f"{inp[i][j]: 6d}"
|
||||||
|
string += ", " if j < n - 1 else ""
|
||||||
|
string += "]\n [" if i < m - 1 else ""
|
||||||
|
string += "]]"
|
||||||
|
|
||||||
|
return string
|
||||||
14
mathgenerator/funcs/meanMedianFunc.py
Normal file
14
mathgenerator/funcs/meanMedianFunc.py
Normal file
@@ -0,0 +1,14 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def meanMedianFunc(maxlen=10):
|
||||||
|
randomlist = random.sample(range(1, 99), maxlen)
|
||||||
|
total = 0
|
||||||
|
for n in randomlist:
|
||||||
|
total = total + n
|
||||||
|
mean = total / 10
|
||||||
|
problem = f"Given the series of numbers {randomlist}. find the arithmatic mean and mdian of the series"
|
||||||
|
randomlist.sort()
|
||||||
|
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
|
||||||
11
mathgenerator/funcs/moduloFunc.py
Normal file
11
mathgenerator/funcs/moduloFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def moduloFunc(maxRes=99, maxModulo=99):
|
||||||
|
a = random.randint(0, maxModulo)
|
||||||
|
b = random.randint(0, min(maxRes, maxModulo))
|
||||||
|
c = a % b if b != 0 else 0
|
||||||
|
|
||||||
|
problem = str(a) + "%" + str(b) + "="
|
||||||
|
solution = str(c)
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/multiplicationFunc.py
Normal file
11
mathgenerator/funcs/multiplicationFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
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
|
||||||
12
mathgenerator/funcs/multiplyComplexNumbersFunc.py
Normal file
12
mathgenerator/funcs/multiplyComplexNumbersFunc.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def multiplyComplexNumbersFunc(minRealImaginaryNum=-20,
|
||||||
|
maxRealImaginaryNum=20):
|
||||||
|
num1 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum),
|
||||||
|
random.randint(minRealImaginaryNum, maxRealImaginaryNum))
|
||||||
|
num2 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum),
|
||||||
|
random.randint(minRealImaginaryNum, maxRealImaginaryNum))
|
||||||
|
problem = f"{num1} * {num2} = "
|
||||||
|
solution = num1 * num2
|
||||||
|
return problem, solution
|
||||||
32
mathgenerator/funcs/multiplyFractionsFunc.py
Normal file
32
mathgenerator/funcs/multiplyFractionsFunc.py
Normal file
@@ -0,0 +1,32 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def multiplyFractionsFunc(maxVal=10):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
c = random.randint(1, maxVal)
|
||||||
|
d = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
while (a == b):
|
||||||
|
b = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
while (c == d):
|
||||||
|
d = random.randint(1, maxVal)
|
||||||
|
|
||||||
|
def calculate_gcd(x, y):
|
||||||
|
while (y):
|
||||||
|
x, y = y, x % y
|
||||||
|
return x
|
||||||
|
|
||||||
|
tmp_n = a * c
|
||||||
|
tmp_d = b * d
|
||||||
|
|
||||||
|
gcd = calculate_gcd(tmp_n, tmp_d)
|
||||||
|
x = f"{tmp_n//gcd}/{tmp_d//gcd}"
|
||||||
|
|
||||||
|
if (tmp_d == 1 or tmp_d == gcd):
|
||||||
|
x = f"{tmp_n//gcd}"
|
||||||
|
|
||||||
|
problem = f"({a}/{b})*({c}/{d})"
|
||||||
|
solution = x
|
||||||
|
return problem, solution
|
||||||
13
mathgenerator/funcs/multiplyIntToMatrix22.py
Normal file
13
mathgenerator/funcs/multiplyIntToMatrix22.py
Normal file
@@ -0,0 +1,13 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def multiplyIntToMatrix22(maxMatrixVal=10, maxRes=100):
|
||||||
|
a = random.randint(0, maxMatrixVal)
|
||||||
|
b = random.randint(0, maxMatrixVal)
|
||||||
|
c = random.randint(0, maxMatrixVal)
|
||||||
|
d = random.randint(0, maxMatrixVal)
|
||||||
|
|
||||||
|
constant = random.randint(0, int(maxRes / max(a, b, c, d)))
|
||||||
|
problem = f"{constant} * [[{a}, {b}], [{c}, {d}]] = "
|
||||||
|
solution = f"[[{a*constant},{b*constant}],[{c*constant},{d*constant}]]"
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/nthFibonacciNumberFunc.py
Normal file
10
mathgenerator/funcs/nthFibonacciNumberFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def nthFibonacciNumberFunc(maxN=100):
|
||||||
|
golden_ratio = (1 + math.sqrt(5)) / 2
|
||||||
|
n = random.randint(1, maxN)
|
||||||
|
problem = f"What is the {n}th Fibonacci number?"
|
||||||
|
ans = round((math.pow(golden_ratio, n) - math.pow(-golden_ratio, -n)) / (math.sqrt(5)))
|
||||||
|
solution = f"{ans}"
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/percentageFunc.py
Normal file
11
mathgenerator/funcs/percentageFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def percentageFunc(maxValue=99, maxpercentage=99):
|
||||||
|
a = random.randint(1, maxpercentage)
|
||||||
|
b = random.randint(1, maxValue)
|
||||||
|
problem = f"What is {a}% of {b}?"
|
||||||
|
percentage = a / 100 * b
|
||||||
|
formatted_float = "{:.2f}".format(percentage)
|
||||||
|
solution = f"Required percentage = {formatted_float}%"
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/permutationFunc.py
Normal file
11
mathgenerator/funcs/permutationFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def permutationFunc(maxlength=20):
|
||||||
|
a = random.randint(10, maxlength)
|
||||||
|
b = random.randint(0, 9)
|
||||||
|
|
||||||
|
solution = int(math.factorial(a) / (math.factorial(a - b)))
|
||||||
|
problem = "Number of Permutations from {} objects picked {} at a time = ".format(
|
||||||
|
a, b)
|
||||||
|
return problem, solution
|
||||||
18
mathgenerator/funcs/powerRuleDifferentiationFunc.py
Normal file
18
mathgenerator/funcs/powerRuleDifferentiationFunc.py
Normal file
@@ -0,0 +1,18 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def powerRuleDifferentiationFunc(maxCoef=10, maxExp=10, maxTerms=5):
|
||||||
|
numTerms = random.randint(1, maxTerms)
|
||||||
|
problem = ""
|
||||||
|
solution = ""
|
||||||
|
|
||||||
|
for i in range(numTerms):
|
||||||
|
if i > 0:
|
||||||
|
problem += " + "
|
||||||
|
solution += " + "
|
||||||
|
coefficient = random.randint(1, maxCoef)
|
||||||
|
exponent = random.randint(1, maxExp)
|
||||||
|
|
||||||
|
problem += str(coefficient) + "x^" + str(exponent)
|
||||||
|
solution += str(coefficient * exponent) + "x^" + str(exponent - 1)
|
||||||
|
return problem, solution
|
||||||
21
mathgenerator/funcs/powerRuleIntegrationFunc.py
Normal file
21
mathgenerator/funcs/powerRuleIntegrationFunc.py
Normal file
@@ -0,0 +1,21 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
|
||||||
|
numTerms = random.randint(1, maxTerms)
|
||||||
|
problem = ""
|
||||||
|
solution = ""
|
||||||
|
|
||||||
|
for i in range(numTerms):
|
||||||
|
if i > 0:
|
||||||
|
problem += " + "
|
||||||
|
solution += " + "
|
||||||
|
coefficient = random.randint(1, maxCoef)
|
||||||
|
exponent = random.randint(1, maxExp)
|
||||||
|
|
||||||
|
problem += str(coefficient) + "x^" + str(exponent)
|
||||||
|
solution += "(" + str(coefficient) + "/" + \
|
||||||
|
str(exponent) + ")x^" + str(exponent + 1)
|
||||||
|
|
||||||
|
solution += " + c"
|
||||||
|
return problem, solution
|
||||||
22
mathgenerator/funcs/primeFactorsFunc.py
Normal file
22
mathgenerator/funcs/primeFactorsFunc.py
Normal file
@@ -0,0 +1,22 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def primeFactorsFunc(minVal=1, maxVal=200):
|
||||||
|
a = random.randint(minVal, maxVal)
|
||||||
|
n = a
|
||||||
|
i = 2
|
||||||
|
factors = []
|
||||||
|
|
||||||
|
while i * i <= n:
|
||||||
|
if n % i:
|
||||||
|
i += 1
|
||||||
|
else:
|
||||||
|
n //= i
|
||||||
|
factors.append(i)
|
||||||
|
|
||||||
|
if n > 1:
|
||||||
|
factors.append(n)
|
||||||
|
|
||||||
|
problem = f"Find prime factors of {a}"
|
||||||
|
solution = f"{factors}"
|
||||||
|
return problem, solution
|
||||||
16
mathgenerator/funcs/profitLossPercentFunc.py
Normal file
16
mathgenerator/funcs/profitLossPercentFunc.py
Normal file
@@ -0,0 +1,16 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def profitLossPercentFunc(maxCP=1000, maxSP=1000):
|
||||||
|
cP = random.randint(1, maxCP)
|
||||||
|
sP = random.randint(1, maxSP)
|
||||||
|
diff = abs(sP - cP)
|
||||||
|
if (sP - cP >= 0):
|
||||||
|
profitOrLoss = "Profit"
|
||||||
|
else:
|
||||||
|
profitOrLoss = "Loss"
|
||||||
|
percent = diff / cP * 100
|
||||||
|
problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: "
|
||||||
|
solution = percent
|
||||||
|
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/pythagoreanTheoremFunc.py
Normal file
11
mathgenerator/funcs/pythagoreanTheoremFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def pythagoreanTheoremFunc(maxLength=20):
|
||||||
|
a = random.randint(1, maxLength)
|
||||||
|
b = random.randint(1, maxLength)
|
||||||
|
c = (a**2 + b**2)**0.5
|
||||||
|
|
||||||
|
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
|
||||||
15
mathgenerator/funcs/quadraticEquation.py
Normal file
15
mathgenerator/funcs/quadraticEquation.py
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def quadraticEquation(maxVal=100):
|
||||||
|
a = random.randint(1, maxVal)
|
||||||
|
c = random.randint(1, maxVal)
|
||||||
|
b = random.randint(
|
||||||
|
round(math.sqrt(4 * a * c)) + 1, round(math.sqrt(4 * maxVal * maxVal)))
|
||||||
|
|
||||||
|
problem = "Zeros of the Quadratic Equation {}x^2+{}x+{}=0".format(a, b, c)
|
||||||
|
D = math.sqrt(b * b - 4 * a * c)
|
||||||
|
solution = str(
|
||||||
|
[round((-b + D) / (2 * a), 2),
|
||||||
|
round((-b - D) / (2 * a), 2)])
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/regularPolygonAngleFunc.py
Normal file
10
mathgenerator/funcs/regularPolygonAngleFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def regularPolygonAngleFunc(minVal=3, maxVal=20):
|
||||||
|
sideNum = random.randint(minVal, maxVal)
|
||||||
|
problem = f"Find the angle of a regular polygon with {sideNum} sides"
|
||||||
|
|
||||||
|
exteriorAngle = round((360 / sideNum), 2)
|
||||||
|
solution = 180 - exteriorAngle
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/sectorAreaFunc.py
Normal file
11
mathgenerator/funcs/sectorAreaFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def sectorAreaFunc(maxRadius=49, maxAngle=359):
|
||||||
|
Radius = random.randint(1, maxRadius)
|
||||||
|
Angle = random.randint(1, maxAngle)
|
||||||
|
problem = f"Given radius, {Radius} and angle, {Angle}. Find the area of the sector."
|
||||||
|
secArea = float((Angle / 360) * math.pi * Radius * Radius)
|
||||||
|
formatted_float = "{:.5f}".format(secArea)
|
||||||
|
solution = f"Area of sector = {formatted_float}"
|
||||||
|
return problem, solution
|
||||||
15
mathgenerator/funcs/simpleInterestFunc.py
Normal file
15
mathgenerator/funcs/simpleInterestFunc.py
Normal file
@@ -0,0 +1,15 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
|
||||||
|
a = random.randint(1000, maxPrinciple)
|
||||||
|
b = random.randint(1, maxRate)
|
||||||
|
c = random.randint(1, maxTime)
|
||||||
|
d = (a * b * c) / 100
|
||||||
|
|
||||||
|
problem = "Simple interest for a principle amount of " + str(
|
||||||
|
a) + " dollars, " + str(
|
||||||
|
b) + "% rate of interest and for a time period of " + str(
|
||||||
|
c) + " years is = "
|
||||||
|
solution = round(d, 2)
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/squareFunc.py
Normal file
10
mathgenerator/funcs/squareFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def squareFunc(maxSquareNum=20):
|
||||||
|
a = random.randint(1, maxSquareNum)
|
||||||
|
b = a * a
|
||||||
|
|
||||||
|
problem = str(a) + "^2" + "="
|
||||||
|
solution = str(b)
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/squareRootFunc.py
Normal file
10
mathgenerator/funcs/squareRootFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def squareRootFunc(minNo=1, maxNo=12):
|
||||||
|
b = random.randint(minNo, maxNo)
|
||||||
|
a = b * b
|
||||||
|
|
||||||
|
problem = "sqrt(" + str(a) + ")="
|
||||||
|
solution = str(b)
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/subtractionFunc.py
Normal file
11
mathgenerator/funcs/subtractionFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def subtractionFunc(maxMinuend=99, maxDiff=99):
|
||||||
|
a = random.randint(0, maxMinuend)
|
||||||
|
b = random.randint(max(0, (a - maxDiff)), a)
|
||||||
|
c = a - b
|
||||||
|
|
||||||
|
problem = str(a) + "-" + str(b) + "="
|
||||||
|
solution = str(c)
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py
Normal file
10
mathgenerator/funcs/sumOfAnglesOfPolygonFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def sumOfAnglesOfPolygonFunc(maxSides=12):
|
||||||
|
side = random.randint(3, maxSides)
|
||||||
|
sum = (side - 2) * 180
|
||||||
|
|
||||||
|
problem = f"Sum of angles of polygon with {side} sides = "
|
||||||
|
solution = sum
|
||||||
|
return problem, solution
|
||||||
17
mathgenerator/funcs/surdsComparisonFunc.py
Normal file
17
mathgenerator/funcs/surdsComparisonFunc.py
Normal file
@@ -0,0 +1,17 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def surdsComparisonFunc(maxValue=100, maxRoot=10):
|
||||||
|
radicand1, radicand2 = tuple(random.sample(range(1, maxValue), 2))
|
||||||
|
degree1, degree2 = tuple(random.sample(range(1, maxRoot), 2))
|
||||||
|
|
||||||
|
problem = f"Fill in the blanks {radicand1}^(1/{degree1}) _ {radicand2}^(1/{degree2})"
|
||||||
|
first = math.pow(radicand1, 1 / degree1)
|
||||||
|
second = math.pow(radicand2, 1 / degree2)
|
||||||
|
|
||||||
|
solution = "="
|
||||||
|
if first > second:
|
||||||
|
solution = ">"
|
||||||
|
elif first < second:
|
||||||
|
solution = "<"
|
||||||
|
return problem, solution
|
||||||
13
mathgenerator/funcs/surfaceAreaCone.py
Normal file
13
mathgenerator/funcs/surfaceAreaCone.py
Normal file
@@ -0,0 +1,13 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def surfaceAreaCone(maxRadius=20, maxHeight=50, unit='m'):
|
||||||
|
a = random.randint(1, maxHeight)
|
||||||
|
b = random.randint(1, maxRadius)
|
||||||
|
|
||||||
|
slopingHeight = math.sqrt(a**2 + b**2)
|
||||||
|
problem = f"Surface area of cone with height = {a}{unit} and radius = {b}{unit} is"
|
||||||
|
ans = int(math.pi * b * slopingHeight + math.pi * b * b)
|
||||||
|
|
||||||
|
solution = f"{ans} {unit}^2"
|
||||||
|
return problem, solution
|
||||||
9
mathgenerator/funcs/surfaceAreaCube.py
Normal file
9
mathgenerator/funcs/surfaceAreaCube.py
Normal file
@@ -0,0 +1,9 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def surfaceAreaCube(maxSide=20, unit='m'):
|
||||||
|
a = random.randint(1, maxSide)
|
||||||
|
problem = f"Surface area of cube with side = {a}{unit} is"
|
||||||
|
ans = 6 * a * a
|
||||||
|
solution = f"{ans} {unit}^2"
|
||||||
|
return problem, solution
|
||||||
12
mathgenerator/funcs/surfaceAreaCuboid.py
Normal file
12
mathgenerator/funcs/surfaceAreaCuboid.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def surfaceAreaCuboid(maxSide=20, unit='m'):
|
||||||
|
a = random.randint(1, maxSide)
|
||||||
|
b = random.randint(1, maxSide)
|
||||||
|
c = random.randint(1, maxSide)
|
||||||
|
|
||||||
|
problem = f"Surface area of cuboid with sides = {a}{unit}, {b}{unit}, {c}{unit} is"
|
||||||
|
ans = 2 * (a * b + b * c + c * a)
|
||||||
|
solution = f"{ans} {unit}^2"
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/surfaceAreaCylinder.py
Normal file
11
mathgenerator/funcs/surfaceAreaCylinder.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def surfaceAreaCylinder(maxRadius=20, maxHeight=50, unit='m'):
|
||||||
|
a = random.randint(1, maxHeight)
|
||||||
|
b = random.randint(1, maxRadius)
|
||||||
|
|
||||||
|
problem = f"Surface area of cylinder with height = {a}{unit} and radius = {b}{unit} is"
|
||||||
|
ans = int(2 * math.pi * a * b + 2 * math.pi * b * b)
|
||||||
|
solution = f"{ans} {unit}^2"
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/surfaceAreaSphere.py
Normal file
10
mathgenerator/funcs/surfaceAreaSphere.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def surfaceAreaSphere(maxSide=20, unit='m'):
|
||||||
|
r = random.randint(1, maxSide)
|
||||||
|
|
||||||
|
problem = f"Surface area of Sphere with radius = {r}{unit} is"
|
||||||
|
ans = 4 * math.pi * r * r
|
||||||
|
solution = f"{ans} {unit}^2"
|
||||||
|
return problem, solution
|
||||||
47
mathgenerator/funcs/systemOfEquationsFunc.py
Normal file
47
mathgenerator/funcs/systemOfEquationsFunc.py
Normal file
@@ -0,0 +1,47 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
|
||||||
|
# Generate solution point first
|
||||||
|
x = random.randint(-range_x, range_x)
|
||||||
|
y = random.randint(-range_y, range_y)
|
||||||
|
# Start from reduced echelon form (coeffs 1)
|
||||||
|
c1 = [1, 0, x]
|
||||||
|
c2 = [0, 1, y]
|
||||||
|
|
||||||
|
def randNonZero():
|
||||||
|
return random.choice(
|
||||||
|
[i for i in range(-coeff_mult_range, coeff_mult_range) if i != 0])
|
||||||
|
|
||||||
|
# Add random (non-zero) multiple of equations (rows) to each other
|
||||||
|
c1_mult = randNonZero()
|
||||||
|
c2_mult = randNonZero()
|
||||||
|
new_c1 = [c1[i] + c1_mult * c2[i] for i in range(len(c1))]
|
||||||
|
new_c2 = [c2[i] + c2_mult * c1[i] for i in range(len(c2))]
|
||||||
|
# For extra randomness, now add random (non-zero) multiples of original rows
|
||||||
|
# to themselves
|
||||||
|
c1_mult = randNonZero()
|
||||||
|
c2_mult = randNonZero()
|
||||||
|
new_c1 = [new_c1[i] + c1_mult * c1[i] for i in range(len(c1))]
|
||||||
|
new_c2 = [new_c2[i] + c2_mult * c2[i] for i in range(len(c2))]
|
||||||
|
|
||||||
|
def coeffToFuncString(coeffs):
|
||||||
|
# lots of edge cases for perfect formatting!
|
||||||
|
x_sign = '-' if coeffs[0] < 0 else ''
|
||||||
|
# No redundant 1s
|
||||||
|
x_coeff = str(abs(coeffs[0])) if abs(coeffs[0]) != 1 else ''
|
||||||
|
# If x coeff is 0, dont include x
|
||||||
|
x_str = f'{x_sign}{x_coeff}x' if coeffs[0] != 0 else ''
|
||||||
|
# if x isn't included and y is positive, dont include operator
|
||||||
|
op = ' - ' if coeffs[1] < 0 else (' + ' if x_str != '' else '')
|
||||||
|
# No redundant 1s
|
||||||
|
y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else ''
|
||||||
|
# Don't include if 0, unless x is also 0 (probably never happens)
|
||||||
|
y_str = f'{y_coeff}y' if coeffs[1] != 0 else (
|
||||||
|
'' if x_str != '' else '0')
|
||||||
|
return f'{x_str}{op}{y_str} = {coeffs[2]}'
|
||||||
|
|
||||||
|
problem = f"{coeffToFuncString(new_c1)}, {coeffToFuncString(new_c2)}"
|
||||||
|
solution = f"x = {x}, y = {y}"
|
||||||
|
return problem, solution
|
||||||
|
# Add random (non-zero) multiple of equations to each other
|
||||||
11
mathgenerator/funcs/thirdAngleOfTriangleFunc.py
Normal file
11
mathgenerator/funcs/thirdAngleOfTriangleFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def thirdAngleOfTriangleFunc(maxAngle=89):
|
||||||
|
angle1 = random.randint(1, maxAngle)
|
||||||
|
angle2 = random.randint(1, maxAngle)
|
||||||
|
angle3 = 180 - (angle1 + angle2)
|
||||||
|
|
||||||
|
problem = f"Third angle of triangle with angles {angle1} and {angle2} = "
|
||||||
|
solution = angle3
|
||||||
|
return problem, solution
|
||||||
14
mathgenerator/funcs/vectorCrossFunc.py
Normal file
14
mathgenerator/funcs/vectorCrossFunc.py
Normal file
@@ -0,0 +1,14 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def vectorCrossFunc(minVal=-20, maxVal=20):
|
||||||
|
a = [random.randint(minVal, maxVal) for i in range(3)]
|
||||||
|
b = [random.randint(minVal, maxVal) for i in range(3)]
|
||||||
|
c = [
|
||||||
|
a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2],
|
||||||
|
a[0] * b[1] - a[1] * b[0]
|
||||||
|
]
|
||||||
|
|
||||||
|
problem = str(a) + " X " + str(b) + " = "
|
||||||
|
solution = str(c)
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/vectorDotFunc.py
Normal file
11
mathgenerator/funcs/vectorDotFunc.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def vectorDotFunc(minVal=-20, maxVal=20):
|
||||||
|
a = [random.randint(minVal, maxVal) for i in range(3)]
|
||||||
|
b = [random.randint(minVal, maxVal) for i in range(3)]
|
||||||
|
c = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
|
||||||
|
|
||||||
|
problem = str(a) + " . " + str(b) + " = "
|
||||||
|
solution = str(c)
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/volumeCone.py
Normal file
11
mathgenerator/funcs/volumeCone.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def volumeCone(maxRadius=20, maxHeight=50, unit='m'):
|
||||||
|
a = random.randint(1, maxHeight)
|
||||||
|
b = random.randint(1, maxRadius)
|
||||||
|
|
||||||
|
problem = f"Volume of cone with height = {a}{unit} and radius = {b}{unit} is"
|
||||||
|
ans = int(math.pi * b * b * a * (1 / 3))
|
||||||
|
solution = f"{ans} {unit}^3"
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/volumeCube.py
Normal file
10
mathgenerator/funcs/volumeCube.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def volumeCube(maxSide=20, unit='m'):
|
||||||
|
a = random.randint(1, maxSide)
|
||||||
|
|
||||||
|
problem = f"Volume of cube with side = {a}{unit} is"
|
||||||
|
ans = a * a * a
|
||||||
|
solution = f"{ans} {unit}^3"
|
||||||
|
return problem, solution
|
||||||
12
mathgenerator/funcs/volumeCuboid.py
Normal file
12
mathgenerator/funcs/volumeCuboid.py
Normal file
@@ -0,0 +1,12 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def volumeCuboid(maxSide=20, unit='m'):
|
||||||
|
a = random.randint(1, maxSide)
|
||||||
|
b = random.randint(1, maxSide)
|
||||||
|
c = random.randint(1, maxSide)
|
||||||
|
|
||||||
|
problem = f"Volume of cuboid with sides = {a}{unit}, {b}{unit}, {c}{unit} is"
|
||||||
|
ans = a * b * c
|
||||||
|
solution = f"{ans} {unit}^3"
|
||||||
|
return problem, solution
|
||||||
11
mathgenerator/funcs/volumeCylinder.py
Normal file
11
mathgenerator/funcs/volumeCylinder.py
Normal file
@@ -0,0 +1,11 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def volumeCylinder(maxRadius=20, maxHeight=50, unit='m'):
|
||||||
|
a = random.randint(1, maxHeight)
|
||||||
|
b = random.randint(1, maxRadius)
|
||||||
|
|
||||||
|
problem = f"Volume of cylinder with height = {a}{unit} and radius = {b}{unit} is"
|
||||||
|
ans = int(math.pi * b * b * a)
|
||||||
|
solution = f"{ans} {unit}^3"
|
||||||
|
return problem, solution
|
||||||
10
mathgenerator/funcs/volumeSphereFunc.py
Normal file
10
mathgenerator/funcs/volumeSphereFunc.py
Normal file
@@ -0,0 +1,10 @@
|
|||||||
|
from .__init__ import *
|
||||||
|
|
||||||
|
|
||||||
|
def volumeSphereFunc(maxRadius=100):
|
||||||
|
r = random.randint(1, maxRadius)
|
||||||
|
|
||||||
|
problem = f"Volume of sphere with radius {r} m = "
|
||||||
|
ans = (4 * math.pi / 3) * r * r * r
|
||||||
|
solution = f"{ans} m^3"
|
||||||
|
return problem, solution
|
||||||
File diff suppressed because it is too large
Load Diff
24
setup.py
24
setup.py
@@ -1,16 +1,12 @@
|
|||||||
from setuptools import setup, find_packages
|
from setuptools import setup, find_packages
|
||||||
|
|
||||||
setup(
|
setup(name='mathgenerator',
|
||||||
name='mathgenerator',
|
version='1.1.3',
|
||||||
version='1.1.1',
|
description='An open source solution for generating math problems',
|
||||||
description='An open source solution for generating math problems',
|
url='https://github.com/todarith/mathgenerator',
|
||||||
url='https://github.com/todarith/mathgenerator',
|
author='Luke Weiler',
|
||||||
author='Luke Weiler',
|
author_email='lukew25073@gmail.com',
|
||||||
author_email='lukew25073@gmail.com',
|
license='MIT',
|
||||||
license='MIT',
|
packages=find_packages(),
|
||||||
packages=find_packages(),
|
install_requires=[],
|
||||||
install_requires=[
|
entry_points={})
|
||||||
],
|
|
||||||
entry_points={
|
|
||||||
}
|
|
||||||
)
|
|
||||||
|
|||||||
6
test.py
Normal file
6
test.py
Normal file
@@ -0,0 +1,6 @@
|
|||||||
|
from mathgenerator import mathgen
|
||||||
|
|
||||||
|
# test your generators here
|
||||||
|
|
||||||
|
print(mathgen.addition())
|
||||||
|
print(mathgen.genById(79))
|
||||||
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Reference in New Issue
Block a user