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Merge branch 'master' into master
This commit is contained in:
2
.github/workflows/python-publish.yml
vendored
2
.github/workflows/python-publish.yml
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@@ -1,5 +1,5 @@
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||||
# This workflows will upload a Python Package using Twine when a release is created
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# For more information see: https://help.github.com/en/actions/language-and-framework-guides/using-python-with-github-actions#publishing-to-package-registries
|
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# For more information see https://help.github.com/en/actions/language-and-framework-guides/using-python-with-github-actions#publishing-to-package-registries
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||||
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||||
name: Upload Python Package
|
||||
|
||||
|
||||
37
.github/workflows/tests.yaml
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37
.github/workflows/tests.yaml
vendored
@@ -4,20 +4,29 @@ on: [push, pull_request]
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jobs:
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build:
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runs-on: ubuntu-latest
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steps:
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||||
- uses: actions/checkout@v2
|
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- name: Set up Python
|
||||
uses: actions/setup-python@v2
|
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with:
|
||||
python-version: '3.x'
|
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- name: Install dependencies
|
||||
run: |
|
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python -m pip install -U pip
|
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python -m pip install -r dev-requirements.txt
|
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- name: Linter
|
||||
run: make lint
|
||||
- name: Test
|
||||
run: make test
|
||||
- uses: actions/checkout@v2
|
||||
|
||||
- name: Set up Python
|
||||
uses: actions/setup-python@v2
|
||||
with:
|
||||
python-version: "3.x"
|
||||
|
||||
- uses: actions/cache@v1
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with:
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path: ~/.cache/pip
|
||||
key: ${{ runner.os }}-pip-${{ hashFiles('**/dev-requirements.txt') }}
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restore-keys: |
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${{ runner.os }}-pip-
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- name: Install Dependencies
|
||||
if: steps.cache.outputs.cache-hit != 'true'
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run: make deps
|
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- name: Linter
|
||||
run: make lint
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||||
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- name: Test
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||||
run: make test
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10
Makefile
10
Makefile
@@ -1,11 +1,15 @@
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IGNORE_ERRORS = E501,F401,F403,F405
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PKG = mathgenerator
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PYTHON ?= python3
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deps:
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$(PYTHON) -m pip install --user -r dev-requirements.txt
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format:
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python -m autopep8 --ignore=$(IGNORE_ERRORS) -ir $(PKG)/*
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$(PYTHON) -m autopep8 --ignore=$(IGNORE_ERRORS) -ir $(PKG)/*
|
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lint:
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python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
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$(PYTHON) -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
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test:
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python -m pytest --verbose -s tests
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$(PYTHON) -m pytest --verbose -s tests
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||||
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179
README.md
179
README.md
@@ -31,93 +31,100 @@ problem, solution = mathgen.genById(0)
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| Id | Skill | Example problem | Example Solution | Function Name |
|
||||
|------|-----------------------------------|--------------------|-----------------------|--------------------------|
|
||||
[//]: # list start
|
||||
| 0 | Addition | 29+29= | 58 | addition |
|
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| 1 | Subtraction | 10-8= | 2 | subtraction |
|
||||
| 2 | Multiplication | 96*0= | 0 | multiplication |
|
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| 3 | Division | 25/95= | 0.2631578947368421 | division |
|
||||
| 4 | Binary Complement 1s | 100101100= | 011010011 | binary_complement_1s |
|
||||
| 5 | Modulo Division | 74%50= | 24 | modulo_division |
|
||||
| 6 | Square Root | sqrt(49)= | 7 | square_root |
|
||||
| 7 | Power Rule Differentiation | 10x^7 + 7x^5 + 5x^8 | 70x^6 + 35x^4 + 40x^7 | power_rule_differentiation |
|
||||
| 8 | Square | 9^2= | 81 | square |
|
||||
| 9 | LCM (Least Common Multiple) | LCM of 19 and 7 = | 133 | lcm |
|
||||
| 10 | GCD (Greatest Common Denominator) | GCD of 1 and 7 = | 1 | gcd |
|
||||
| 11 | Basic Algebra | 3x + 2 = 8 | 6 | basic_algebra |
|
||||
| 0 | Addition | 13+0= | 13 | addition |
|
||||
| 1 | Subtraction | 95-6= | 89 | subtraction |
|
||||
| 2 | Multiplication | 66*0= | 0 | multiplication |
|
||||
| 3 | Division | 15/42= | 0.35714285714285715 | division |
|
||||
| 4 | Binary Complement 1s | 01= | 10 | binary_complement_1s |
|
||||
| 5 | Modulo Division | 59%11= | 4 | modulo_division |
|
||||
| 6 | Square Root | sqrt(81)= | 9 | square_root |
|
||||
| 7 | Power Rule Differentiation | 8x^2 + 3x^3 + 1x^9 | 16x^1 + 9x^2 + 9x^8 | power_rule_differentiation |
|
||||
| 8 | Square | 3^2= | 9 | square |
|
||||
| 9 | LCM (Least Common Multiple) | LCM of 8 and 4 = | 8 | lcm |
|
||||
| 10 | GCD (Greatest Common Denominator) | GCD of 12 and 12 = | 12 | gcd |
|
||||
| 11 | Basic Algebra | 8x + 10 = 10 | 0 | basic_algebra |
|
||||
| 12 | Logarithm | log2(128) | 7 | log |
|
||||
| 13 | Easy Division | 228/12 = | 19 | int_division |
|
||||
| 14 | Decimal to Binary | Binary of 37= | 100101 | decimal_to_binary |
|
||||
| 15 | Binary to Decimal | 10100001 | 161 | binary_to_decimal |
|
||||
| 16 | Fraction Division | (8/2)/(8/2) | 1 | divide_fractions |
|
||||
| 17 | Integer Multiplication with 2x2 Matrix | 6 * [[3, 7], [10, 6]] = | [[18,42],[60,36]] | multiply_int_to_22_matrix |
|
||||
| 18 | Area of Triangle | Area of triangle with side lengths: 2 1 19 = | (5.449334243437888e-15+88.99438184514796j) | area_of_triangle |
|
||||
| 19 | Triangle exists check | Does triangle with sides 48, 16 and 30 exist? | No | valid_triangle |
|
||||
| 20 | Midpoint of the two point | (2,-5),(12,-7)= | (7.0,-6.0) | midpoint_of_two_points |
|
||||
| 21 | Factoring Quadratic | x^2-18x+81 | (x-9)(x-9) | factoring |
|
||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 45 and 1 = | 134 | third_angle_of_triangle |
|
||||
| 23 | Solve a System of Equations in R^2 | -7x - 10y = -133, 7x - 2y = 49 | x = 9, y = 7 | system_of_equations |
|
||||
| 24 | Distance between 2 points | Find the distance between (-10, 7) and (16, 6) | sqrt(677) | distance_two_points |
|
||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 10 and 8 = | 12.81 | pythagorean_theorem |
|
||||
| 26 | Linear Equations | 18x + -2y = -174, -13x + 6y = 194 | x = -8, y = 15 | linear_equations |
|
||||
| 27 | Prime Factorisation | Find prime factors of 16 | [2, 2, 2, 2] | prime_factors |
|
||||
| 28 | Fraction Multiplication | (6/8)*(2/5) | 3/10 | fraction_multiplication |
|
||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 17 sides | 158.82 | angle_regular_polygon |
|
||||
| 30 | Combinations of Objects | Number of combinations from 17 objects picked 3 at a time | 680 | combinations |
|
||||
| 31 | Factorial | 1! = | 1 | factorial |
|
||||
| 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surface_area_cube |
|
||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 12m, 11m, 1m is | 310 m^2 | surface_area_cuboid |
|
||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 38m and radius = 16m is | 5428 m^2 | surface_area_cylinder |
|
||||
| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volume_cube |
|
||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 17m, 19m, 8m is | 2584 m^3 | volume_cuboid |
|
||||
| 37 | Volume of cylinder | Volume of cylinder with height = 35m and radius = 19m is | 39694 m^3 | volume_cylinder |
|
||||
| 38 | Surface Area of cone | Surface area of cone with height = 8m and radius = 19m is | 2364 m^2 | surface_area_cone |
|
||||
| 39 | Volume of cone | Volume of cone with height = 43m and radius = 13m is | 7609 m^3 | volume_cone |
|
||||
| 40 | Common Factors | Common Factors of 21 and 65 = | [1] | common_factors |
|
||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 5/4x - 1 and y = 0/4x - 5 | (-16/5, -5) | intersection_of_two_lines |
|
||||
| 42 | Permutations | Number of Permutations from 10 objects picked 5 at a time = | 30240 | permutation |
|
||||
| 43 | Cross Product of 2 Vectors | [12, -16, 4] X [-14, 10, -9] = | [104, 52, -104] | vector_cross |
|
||||
| 44 | Compare Fractions | Which symbol represents the comparison between 7/10 and 7/5? | < | compare_fractions |
|
||||
| 45 | Simple Interest | Simple interest for a principle amount of 6138 dollars, 9% rate of interest and for a time period of 8 years is = | 4419.36 | simple_interest |
|
||||
| 46 | Multiplication of two matrices | Multiply<table><tr><td>-8</td><td>-8</td></tr><tr><td>-2</td><td>-9</td></tr></table>and<table><tr><td>-10</td><td>-8</td></tr><tr><td>9</td><td>-9</td></tr></table> | <table><tr><td>8</td><td>136</td></tr><tr><td>-61</td><td>97</td></tr></table> | matrix_multiplication |
|
||||
| 47 | Cube Root | cuberoot of 633 upto 2 decimal places is: | 8.59 | cube_root |
|
||||
| 48 | Power Rule Integration | 2x^5 + 3x^3 + 4x^7 + 9x^1 + 6x^9 | (2/5)x^6 + (3/3)x^4 + (4/7)x^8 + (9/1)x^2 + (6/9)x^10 + c | power_rule_integration |
|
||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 79 , 44, 37 = | 200 | fourth_angle_of_quadrilateral |
|
||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 79x^2+182x+98=0 | [-0.86, -1.45] | quadratic_equation |
|
||||
| 51 | HCF (Highest Common Factor) | HCF of 1 and 20 = | 1 | hcf |
|
||||
| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 2 = | 1/6 | dice_sum_probability |
|
||||
| 53 | Exponentiation | 6^9 = | 10077696 | exponentiation |
|
||||
| 54 | Confidence interval For sample S | The confidence interval for sample [260, 249, 281, 261, 236, 237, 275, 229, 256, 242, 277, 240, 278, 293, 271, 255, 216, 292, 200, 298, 282, 223] with 99% confidence is | (271.2437114485249, 242.48356127874783) | confidence_interval |
|
||||
| 55 | Comparing surds | Fill in the blanks 71^(1/5) _ 31^(1/8) | > | surds_comparison |
|
||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 19 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584] | fibonacci_series |
|
||||
| 13 | Easy Division | 230/10 = | 23 | int_division |
|
||||
| 14 | Decimal to Binary | Binary of 93= | 1011101 | decimal_to_binary |
|
||||
| 15 | Binary to Decimal | 10001 | 17 | binary_to_decimal |
|
||||
| 16 | Fraction Division | (4/3)/(4/8) | 8/3 | divide_fractions |
|
||||
| 17 | Integer Multiplication with 2x2 Matrix | 11 * [[6, 2], [0, 8]] = | [[66,22],[0,88]] | multiply_int_to_22_matrix |
|
||||
| 18 | Area of Triangle | Area of triangle with side lengths: 10 17 7 = | 0.0 | area_of_triangle |
|
||||
| 19 | Triangle exists check | Does triangle with sides 13, 40 and 7 exist? | No | valid_triangle |
|
||||
| 20 | Midpoint of the two point | (-16,-17),(7,11)= | (-4.5,-3.0) | midpoint_of_two_points |
|
||||
| 21 | Factoring Quadratic | x^2-3x-18 | (x-6)(x+3) | factoring |
|
||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 49 and 13 = | 118 | third_angle_of_triangle |
|
||||
| 23 | Solve a System of Equations in R^2 | 3x + y = 18, 4x + 10y = 102 | x = 3, y = 9 | system_of_equations |
|
||||
| 24 | Distance between 2 points | Find the distance between (-15, -13) and (-5, -10) | sqrt(109) | distance_two_points |
|
||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 14 and 13 = | 19.10 | pythagorean_theorem |
|
||||
| 26 | Linear Equations | -9x + -17y = 417, -1x + -4y = 78 | x = -18, y = -15 | linear_equations |
|
||||
| 27 | Prime Factorisation | Find prime factors of 196 | [2, 2, 7, 7] | prime_factors |
|
||||
| 28 | Fraction Multiplication | (8/1)*(9/6) | 12 | fraction_multiplication |
|
||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 8 sides | 135.0 | angle_regular_polygon |
|
||||
| 30 | Combinations of Objects | Number of combinations from 12 objects picked 2 at a time | 66 | combinations |
|
||||
| 31 | Factorial | 4! = | 24 | factorial |
|
||||
| 32 | Surface Area of Cube | Surface area of cube with side = 14m is | 1176 m^2 | surface_area_cube |
|
||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 16m, 4m, 12m is | 608 m^2 | surface_area_cuboid |
|
||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 8m and radius = 13m is | 1715 m^2 | surface_area_cylinder |
|
||||
| 35 | Volum of Cube | Volume of cube with side = 14m is | 2744 m^3 | volume_cube |
|
||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 5m, 19m, 11m is | 1045 m^3 | volume_cuboid |
|
||||
| 37 | Volume of cylinder | Volume of cylinder with height = 26m and radius = 12m is | 11762 m^3 | volume_cylinder |
|
||||
| 38 | Surface Area of cone | Surface area of cone with height = 13m and radius = 8m is | 584 m^2 | surface_area_cone |
|
||||
| 39 | Volume of cone | Volume of cone with height = 45m and radius = 12m is | 6785 m^3 | volume_cone |
|
||||
| 40 | Common Factors | Common Factors of 53 and 11 = | [1] | common_factors |
|
||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -9/6x + 2 and y = 5/4x - 6 | (32/11, -26/11) | intersection_of_two_lines |
|
||||
| 42 | Permutations | Number of Permutations from 12 objects picked 5 at a time = | 95040 | permutation |
|
||||
| 43 | Cross Product of 2 Vectors | [-19, 13, 14] X [7, 17, -11] = | [-381, -111, -414] | vector_cross |
|
||||
| 44 | Compare Fractions | Which symbol represents the comparison between 7/8 and 3/4? | > | compare_fractions |
|
||||
| 45 | Simple Interest | Simple interest for a principle amount of 4874 dollars, 10% rate of interest and for a time period of 1 years is = | 487.4 | simple_interest |
|
||||
| 46 | Multiplication of two matrices | Multiply<table><tr><td>7</td><td>4</td><td>-5</td><td>4</td></tr><tr><td>0</td><td>-8</td><td>-1</td><td>-5</td></tr></table>and<table><tr><td>-10</td><td>-6</td></tr><tr><td>-3</td><td>-6</td></tr><tr><td>1</td><td>8</td></tr><tr><td>0</td><td>-1</td></tr></table> | <table><tr><td>-87</td><td>-110</td></tr><tr><td>23</td><td>45</td></tr></table> | matrix_multiplication |
|
||||
| 47 | Cube Root | cuberoot of 190 upto 2 decimal places is: | 5.75 | cube_root |
|
||||
| 48 | Power Rule Integration | 3x^2 + 7x^7 + 1x^6 + 9x^1 | (3/2)x^3 + (7/7)x^8 + (1/6)x^7 + (9/1)x^2 + c | power_rule_integration |
|
||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 126 , 81, 61 = | 92 | fourth_angle_of_quadrilateral |
|
||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 6x^2+139x+34=0 | [-0.25, -22.92] | quadratic_equation |
|
||||
| 51 | HCF (Highest Common Factor) | HCF of 19 and 12 = | 1 | hcf |
|
||||
| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 5 = | 4/36 | dice_sum_probability |
|
||||
| 53 | Exponentiation | 15^7 = | 170859375 | exponentiation |
|
||||
| 54 | Confidence interval For sample S | The confidence interval for sample [204, 279, 272, 203, 275, 286, 253, 237, 271, 222, 297, 265, 242, 239, 259, 241, 261, 254, 217, 219, 298, 273, 238, 209, 268] with 80% confidence is | (258.3266706388717, 244.23332936112834) | confidence_interval |
|
||||
| 55 | Comparing surds | Fill in the blanks 95^(1/7) _ 67^(1/6) | < | surds_comparison |
|
||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 18 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597] | fibonacci_series |
|
||||
| 57 | Trigonometric Values | What is cos(45)? | 1/√2 | basic_trigonometry |
|
||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 10 sides = | 1440 | sum_of_polygon_angles |
|
||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[13, 22, 36, 17, 9, 39, 50, 14, 32, 40, 37, 48, 47, 28, 47] | The Mean is 31.933333333333334 , Standard Deviation is 182.59555555555553, Variance is 13.51279229306643 | data_summary |
|
||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 7 sides = | 900 | sum_of_polygon_angles |
|
||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[41, 44, 15, 26, 15, 50, 27, 22, 11, 32, 14, 8, 23, 50, 9] | The Mean is 25.8 , Standard Deviation is 199.0933333333333, Variance is 14.110043704160994 | data_summary |
|
||||
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 18m is | 4071.5040790523717 m^2 | surface_area_sphere |
|
||||
| 61 | Volume of Sphere | Volume of sphere with radius 61 m = | 950775.7894726198 m^3 | volume_sphere |
|
||||
| 62 | nth Fibonacci number | What is the 85th Fibonacci number? | 259695496911123328 | nth_fibonacci_number |
|
||||
| 63 | Profit or Loss Percent | Profit percent when CP = 353 and SP = 752 is: | 113.03116147308782 | profit_loss_percent |
|
||||
| 64 | Binary to Hexidecimal | 111101011 | 0x1eb | binary_to_hex |
|
||||
| 65 | Multiplication of 2 complex numbers | (-19-9j) * (-17-2j) = | (305+191j) | multiply_complex_numbers |
|
||||
| 66 | Geometric Progression | For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,6th term value, sum upto 7th term | The value of a is 7, common ratio is 11 , 6th term is 1127357 , sum upto 7th term is 13641019.0 | geometric_progression |
|
||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 32 , 5 and 18 = | (32*5*18)^(1/3) = 14.227573217960249 | geometric_mean |
|
||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 48 , 85 and 79 = | 3/((1/48) + (1/85) + (1/79)) = 66.28916158223076 | harmonic_mean |
|
||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[743.1109024649227, 951.2861991520674, 821.2679183199273, 831.5922742303677, 972.3005129207023, 775.1712986008336, 869.5254070360901, 34.05779748860371, 495.5299489221041, 516.2458991121815, 620.0871728488738, 12.438787805084894, 967.8138977993306, 627.6791615554401, 129.81896901435886, 566.4442009627315, 521.5300881726977, 741.5947979192599] is: | 2917.827115551868 | euclidian_norm |
|
||||
| 70 | Angle between 2 vectors | angle between the vectors [341.1766244080324, 386.90517658729595, 306.3074773969527, 542.1138441520038, 149.80203485453225, 85.6719016065689, 875.0827941729921, 292.0422074695527, 312.8929536855103, 408.95388654647445, 119.81564007869672, 177.5529661884936, 360.30983184002406, 111.71502530193955, 29.528755078141455, 478.2846569662712, 855.8978282979257] and [230.45166329807688, 922.2895458023412, 219.89492715268733, 375.8793126730714, 731.2614314505195, 277.5554009411926, 329.1490487358273, 477.7600322879586, 168.93745868538923, 423.6897582803929, 724.5555882496458, 519.6421532094823, 158.0479000313908, 679.3674240323584, 496.6795371750926, 853.4421897526636, 715.2567898992207] is: | NaN | angle_btw_vectors |
|
||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers 53 and -70 = | 123 | absolute_difference |
|
||||
| 72 | Dot Product of 2 Vectors | [-8, -4, -10] . [-9, -6, -9] = | 186 | vector_dot |
|
||||
| 73 | Binary 2's Complement | 2's complement of = | | binary_2s_complement |
|
||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[43, 95, 41], [46, 80, 67], [57, 75, 71]]) is: | Matrix([[131/7038, -367/3519, 617/7038], [553/35190, 358/17595, -199/7038], [-37/1173, 73/1173, -31/1173]]) | invert_matrix |
|
||||
| 75 | Area of a Sector | Given radius, 40 and angle, 199. Find the area of the sector. | Area of sector = 2778.56417 | sector_area |
|
||||
| 76 | Mean and Median | Given the series of numbers [44, 64, 22, 37, 63, 56, 27, 62, 98, 72]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 54.5 and Arithmetic median of this series is 59.0 | mean_median |
|
||||
| 77 | Determinant to 2x2 Matrix | Det([[73, 52], [55, 80]]) = | 2980 | int_matrix_22_determinant |
|
||||
| 78 | Compound Interest | Compound Interest for a principle amount of 8506 dollars, 8% rate of interest and for a time period of 10 compounded monthly is = | 8506.0 | compound_interest |
|
||||
| 79 | Decimal to Hexadecimal | Binary of 293= | 0x125 | decimal_to_hexadeci |
|
||||
| 80 | Percentage of a number | What is 57% of 4? | Required percentage = 2.28% | percentage |
|
||||
| 81 | Celsius To Fahrenheit | Convert 57 degrees Celsius to degrees Fahrenheit = | 134.60000000000002 | celsius_to_fahrenheit |
|
||||
| 82 | AP Term Calculation | Find the term number 89 of the AP series: 20, 115, 210 ... | 8380 | arithmetic_progression_term |
|
||||
| 83 | AP Sum Calculation | Find the sum of first 98 terms of the AP series: -58, -106, -154 ... | -233828.0 | arithmetic_progression_sum |
|
||||
| 84 | Converts decimal to octal | The decimal number 1716 in Octal is: | 0o3264 | decimal_to_octal |
|
||||
| 85 | Converts decimal to Roman Numerals | The number 587 in Roman Numerals is: | DLXXXVII | decimal_to_roman_numerals |
|
||||
| 86 | Degrees to Radians | Angle 245 in radians is = | 4.28 | degree_to_rad |
|
||||
| 61 | Volume of Sphere | Volume of sphere with radius 88 m = | 2854543.2384361913 m^3 | volume_sphere |
|
||||
| 62 | nth Fibonacci number | What is the 5th Fibonacci number? | 5 | nth_fibonacci_number |
|
||||
| 63 | Profit or Loss Percent | Profit percent when CP = 190 and SP = 653 is: | 243.68421052631578 | profit_loss_percent |
|
||||
| 64 | Binary to Hexidecimal | 000 | 0x0 | binary_to_hex |
|
||||
| 65 | Multiplication of 2 complex numbers | (1+11j) * (14-20j) = | (234+134j) | multiply_complex_numbers |
|
||||
| 66 | Geometric Progression | For the given GP [2, 14, 98, 686, 4802, 33614] ,Find the value of a,common ratio,11th term value, sum upto 10th term | The value of a is 2, common ratio is 7 , 11th term is 564950498 , sum upto 10th term is 94158416.0 | geometric_progression |
|
||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 5 , 36 , 46 , 11 = | (5*36*46*11)^(1/4) = 17.372237396461717 | geometric_mean |
|
||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 2 , 69 , 40 , 85 = | 4/((1/2) + (1/69) + (1/40) + (1/85)) = 7.256137637734391 | harmonic_mean |
|
||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[964.0224705098824, 282.67364534639074, 10.524202601537414, 361.644358207216, 691.8214421455904, 573.8396623606926, 972.293614400242, 140.0274501909099, 590.7302519633489, 797.8763197329738, 726.1188608418418, 597.5706485157848, 241.28898511522024, 694.0267219296932, 32.85273313007875, 187.58082258543695, 452.179970384704, 964.184342568536, 589.6017896365979, 936.6845704453358] is: | 2778.1660192850186 | euclidian_norm |
|
||||
| 70 | Angle between 2 vectors | angle between the vectors [682.87, 786.47, 315.92, 912.87, 542.62, 602.89, 747.77, 437.42, 3.35, 225.43, 63.6, 535.22, 871.05, 33.58] and [625.58, 654.32, 738.64, 670.61, 575.02, 237.12, 220.81, 78.57, 298.55, 427.21, 396.95, 159.78, 574.71, 847.07] is: | 0.69 radians | angle_btw_vectors |
|
||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers -14 and 27 = | 41 | absolute_difference |
|
||||
| 72 | Dot Product of 2 Vectors | [13, -5, -16] . [-6, 11, -2] = | -101 | vector_dot |
|
||||
| 73 | Binary 2's Complement | 2's complement of 10 = | 10 | binary_2s_complement |
|
||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[73, 79, 98], [11, 18, 14], [41, 47, 26]]) is: | Matrix([[95/6388, -319/1597, 329/6388], [-36/1597, 265/1597, -7/1597], [221/12776, 24/1597, -445/12776]]) | invert_matrix |
|
||||
| 75 | Area of a Sector | Given radius, 7 and angle, 271. Find the area of the sector. | Area of sector = 115.88114 | sector_area |
|
||||
| 76 | Mean and Median | Given the series of numbers [17, 84, 55, 4, 28, 41, 50, 54, 35, 14]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 38.2 and Arithmetic median of this series is 38.0 | mean_median |
|
||||
| 77 | Determinant to 2x2 Matrix | Det([[0, 38], [92, 69]]) = | -3496 | int_matrix_22_determinant |
|
||||
| 78 | Compound Interest | Compound interest for a principle amount of 6315 dollars, 4% rate of interest and for a time period of 8 year is = | 8642.51 | compound_interest |
|
||||
| 79 | Decimal to Hexadecimal | Binary of 222= | 0xde | decimal_to_hexadeci |
|
||||
| 80 | Percentage of a number | What is 16% of 10? | Required percentage = 1.60% | percentage |
|
||||
| 81 | Celsius To Fahrenheit | Convert -30 degrees Celsius to degrees Fahrenheit = | -22.0 | celsius_to_fahrenheit |
|
||||
| 82 | AP Term Calculation | Find the term number 23 of the AP series: -14, 86, 186 ... | 2186 | arithmetic_progression_term |
|
||||
| 83 | AP Sum Calculation | Find the sum of first 70 terms of the AP series: 55, -34, -123 ... | -211085.0 | arithmetic_progression_sum |
|
||||
| 84 | Converts decimal to octal | The decimal number 2801 in Octal is: | 0o5361 | decimal_to_octal |
|
||||
| 85 | Converts decimal to Roman Numerals | The number 1366 in Roman Numerals is: | MCCCLXVI | decimal_to_roman_numerals |
|
||||
| 86 | Degrees to Radians | Angle 213 in radians is = | 3.72 | degree_to_rad |
|
||||
| 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg |
|
||||
| 88 | Differentiation | differentiate w.r.t x : d(exp(x)+5*x^(-2))/dx | exp(x) - 10/x^3 | differentiation |
|
||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 39x^2 + 72x + 74 is = | 123.0 | definite_integral |
|
||||
| 88 | Differentiation | differentiate w.r.t x : d(ln(x)+5*x^3)/dx | 15*x^2 + 1/x | differentiation |
|
||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 18x^2 + 37x + 1 is = | 25.5 | definite_integral |
|
||||
| 90 | isprime | 53 | True | is_prime |
|
||||
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 1 is = | 5202 | bcd_to_decimal |
|
||||
| 92 | Complex To Polar Form | rexp(itheta) = | 10.3exp(i0.51) | complex_to_polar |
|
||||
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 2, 6, 7, 9, 10} ,b={9, 3, 5, 6}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 6, 7, 9, 10},Intersection is {9, 6}, a-b is {1, 2, 10, 7},b-a is {3, 5}, Symmetric difference is {1, 2, 3, 5, 7, 10} | set_operation |
|
||||
| 94 | Base Conversion | Convert 137673 from base 8 to base 10. | 49083 | base_conversion |
|
||||
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 20 and height, 96? | CSA of cylinder = 12063.72 | curved_surface_area_cylinder |
|
||||
| 96 | Perimeter of Polygons | The perimeter of a 10 sided polygon with lengths of [106, 31, 107, 44, 44, 81, 108, 92, 75, 103]cm is: | 791 | perimeter_of_polygons |
|
||||
|
||||
@@ -11,7 +11,8 @@ class Generator:
|
||||
self.generalSol = generalSol
|
||||
self.func = func
|
||||
|
||||
(filename, line_number, function_name, text) = traceback.extract_stack()[-2]
|
||||
(filename, line_number, function_name,
|
||||
text) = traceback.extract_stack()[-2]
|
||||
funcname = filename[filename.rfind('/'):].strip()
|
||||
funcname = funcname[1:-3]
|
||||
# print(funcname)
|
||||
|
||||
@@ -95,4 +95,13 @@ from .radian_to_deg import *
|
||||
from .differentiation import *
|
||||
from .definite_integral import *
|
||||
from .is_prime import *
|
||||
from .bcd_to_decimal import *
|
||||
from .complex_to_polar import *
|
||||
from .set_operation import *
|
||||
from .base_conversion import *
|
||||
from .curved_surface_area_cylinder import *
|
||||
from .perimeter_of_polygons import *
|
||||
from .power_of_powers import *
|
||||
from .quotient_of_power_same_base import *
|
||||
from .quotient_of_power_same_power import *
|
||||
from .complex_quadratic import *
|
||||
|
||||
@@ -4,17 +4,17 @@ import math
|
||||
|
||||
def angleBtwVectorsFunc(maxEltAmt=20):
|
||||
s = 0
|
||||
v1 = [random.uniform(0, 1000) for i in range(random.randint(2, maxEltAmt))]
|
||||
v2 = [random.uniform(0, 1000) for i in v1]
|
||||
for i in v1:
|
||||
for j in v2:
|
||||
s += i * j
|
||||
v1 = [round(random.uniform(0, 1000), 2) for i in range(random.randint(2, maxEltAmt))]
|
||||
v2 = [round(random.uniform(0, 1000), 2) for i in v1]
|
||||
for i in range(len(v1)):
|
||||
s += v1[i] * v2[i]
|
||||
|
||||
mags = math.sqrt(sum([i**2 for i in v1])) * math.sqrt(sum([i**2 for i in v2]))
|
||||
mags = math.sqrt(sum([i**2
|
||||
for i in v1])) * math.sqrt(sum([i**2 for i in v2]))
|
||||
problem = f"angle between the vectors {v1} and {v2} is:"
|
||||
solution = ''
|
||||
try:
|
||||
solution = str(math.acos(s / mags))
|
||||
solution = str(round(math.acos(s / mags), 2)) + " radians"
|
||||
except ValueError:
|
||||
print('angleBtwVectorsFunc has some issues with math module, line 16')
|
||||
solution = 'NaN'
|
||||
|
||||
@@ -8,11 +8,13 @@ def arithmeticProgressionSumFunc(maxd=100, maxa=100, maxn=100):
|
||||
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
|
||||
problem = 'Find the sum of first ' + str(
|
||||
n) + ' terms of the AP series: ' + apString
|
||||
solution = n * ((2 * a1) + ((n - 1) * d)) / 2
|
||||
return problem, solution
|
||||
|
||||
|
||||
arithmetic_progression_sum = Generator("AP Sum Calculation", 83,
|
||||
"Find the sum of first n terms of the AP series: a1, a2, a3 ...",
|
||||
"Sum", arithmeticProgressionSumFunc)
|
||||
arithmetic_progression_sum = Generator(
|
||||
"AP Sum Calculation", 83,
|
||||
"Find the sum of first n terms of the AP series: a1, a2, a3 ...", "Sum",
|
||||
arithmeticProgressionSumFunc)
|
||||
|
||||
@@ -8,11 +8,13 @@ def arithmeticProgressionTermFunc(maxd=100, maxa=100, maxn=100):
|
||||
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
|
||||
problem = 'Find the term number ' + str(
|
||||
n) + ' of the AP series: ' + apString
|
||||
solution = a1 + ((n - 1) * d)
|
||||
return problem, solution
|
||||
|
||||
|
||||
arithmetic_progression_term = Generator("AP Term Calculation", 82,
|
||||
"Find the term number n of the AP series: a1, a2, a3 ...",
|
||||
"a-n", arithmeticProgressionTermFunc)
|
||||
arithmetic_progression_term = Generator(
|
||||
"AP Term Calculation", 82,
|
||||
"Find the term number n of the AP series: a1, a2, a3 ...", "a-n",
|
||||
arithmeticProgressionTermFunc)
|
||||
|
||||
58
mathgenerator/funcs/base_conversion.py
Normal file
58
mathgenerator/funcs/base_conversion.py
Normal file
@@ -0,0 +1,58 @@
|
||||
from .__init__ import *
|
||||
|
||||
# base from 2 to 36
|
||||
alpha = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
|
||||
|
||||
|
||||
def fromBaseTenTo(n, toBase):
|
||||
assert type(
|
||||
toBase
|
||||
) == int and toBase >= 2 and toBase <= 36, "toBase({}) must be >=2 and <=36"
|
||||
# trivial cases
|
||||
if toBase == 2:
|
||||
return bin(n)[2:]
|
||||
elif toBase == 8:
|
||||
return oct(n)[2:]
|
||||
elif toBase == 10:
|
||||
return str(n)
|
||||
elif toBase == 16:
|
||||
return hex(n)[2:].upper()
|
||||
res = alpha[n % toBase]
|
||||
n = n // toBase
|
||||
while n > 0:
|
||||
res = alpha[n % toBase] + res
|
||||
n = n // toBase
|
||||
return res
|
||||
|
||||
|
||||
# Useful to check answers, but not needed here
|
||||
# def toBaseTen(n,fromBase):
|
||||
# return int(n,fromBase)
|
||||
|
||||
|
||||
def baseConversionFunc(maxNum=60000, maxBase=16):
|
||||
assert type(
|
||||
maxNum
|
||||
) == int and maxNum >= 100 and maxNum <= 65536, "maxNum({}) must be >=100 and <=65536".format(
|
||||
maxNum)
|
||||
assert type(
|
||||
maxBase
|
||||
) == int and maxBase >= 2 and maxBase <= 36, "maxBase({}) must be >= 2 and <=36".format(
|
||||
maxBase)
|
||||
|
||||
n = random.randint(40, maxNum)
|
||||
dist = [10] * 10 + [2] * 5 + [16] * 5 + [i for i in range(2, maxBase + 1)]
|
||||
# set this way since converting to/from bases 2,10,16 are more common -- can be changed if needed.
|
||||
bases = random.choices(dist, k=2)
|
||||
while bases[0] == bases[1]:
|
||||
bases = random.choices(dist, k=2)
|
||||
|
||||
problem = "Convert {} from base {} to base {}.".format(
|
||||
fromBaseTenTo(n, bases[0]), bases[0], bases[1])
|
||||
ans = fromBaseTenTo(n, bases[1])
|
||||
return problem, ans
|
||||
|
||||
|
||||
base_conversion = Generator("Base Conversion", 94,
|
||||
"Convert 152346 from base 8 to base 10.", "54502",
|
||||
baseConversionFunc)
|
||||
25
mathgenerator/funcs/bcd_to_decimal.py
Normal file
25
mathgenerator/funcs/bcd_to_decimal.py
Normal file
@@ -0,0 +1,25 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def BCDtoDecimalFunc(maxNumber=10000):
|
||||
n = random.randint(1000, maxNumber)
|
||||
binstring = ''
|
||||
while True:
|
||||
q, r = divmod(n, 10)
|
||||
nibble = bin(r).replace('0b', "")
|
||||
while len(nibble) < 4:
|
||||
nibble = '0' + nibble
|
||||
binstring = nibble + binstring
|
||||
if q == 0:
|
||||
break
|
||||
else:
|
||||
n = q
|
||||
|
||||
problem = "Integer of Binary Coded Decimal " + str(n) + " is = "
|
||||
solution = int(binstring, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
bcd_to_decimal = Generator("Binary Coded Decimal to Integer", 91,
|
||||
"Integer of Binary Coded Decimal b is ", "n",
|
||||
BCDtoDecimalFunc)
|
||||
@@ -11,5 +11,5 @@ def binaryToHexFunc(max_dig=10):
|
||||
return problem, solution
|
||||
|
||||
|
||||
binary_to_hex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b",
|
||||
binaryToHexFunc)
|
||||
binary_to_hex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=",
|
||||
"b", binaryToHexFunc)
|
||||
|
||||
@@ -4,10 +4,12 @@ from .__init__ import *
|
||||
def celsiustofahrenheitFunc(maxTemp=100):
|
||||
celsius = random.randint(-50, maxTemp)
|
||||
fahrenheit = (celsius * (9 / 5)) + 32
|
||||
problem = "Convert " + str(celsius) + " degrees Celsius to degrees Fahrenheit ="
|
||||
problem = "Convert " + str(
|
||||
celsius) + " degrees Celsius to degrees Fahrenheit ="
|
||||
solution = str(fahrenheit)
|
||||
return problem, solution
|
||||
|
||||
|
||||
celsius_to_fahrenheit = Generator("Celsius To Fahrenheit", 81,
|
||||
"(C +(9/5))+32=", "F", celsiustofahrenheitFunc)
|
||||
"(C +(9/5))+32=", "F",
|
||||
celsiustofahrenheitFunc)
|
||||
|
||||
18
mathgenerator/funcs/complex_to_polar.py
Normal file
18
mathgenerator/funcs/complex_to_polar.py
Normal file
@@ -0,0 +1,18 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def complexToPolarFunc(minRealImaginaryNum=-20, maxRealImaginaryNum=20):
|
||||
num = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum),
|
||||
random.randint(minRealImaginaryNum, maxRealImaginaryNum))
|
||||
a = num.real
|
||||
b = num.imag
|
||||
r = round(math.hypot(a, b), 2)
|
||||
theta = round(math.atan2(b, a), 2)
|
||||
plr = str(r) + "exp(i" + str(theta) + ")"
|
||||
problem = "rexp(itheta) = "
|
||||
solution = plr
|
||||
return problem, solution
|
||||
|
||||
|
||||
complex_to_polar = Generator("Complex To Polar Form", 92, "rexp(itheta) = ",
|
||||
"plr", complexToPolarFunc)
|
||||
@@ -1,24 +1,19 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def compoundInterestFunc(maxPrinciple=10000,
|
||||
maxRate=10,
|
||||
maxTime=10,
|
||||
maxPeriod=10):
|
||||
p = random.randint(100, maxPrinciple)
|
||||
def compoundInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
|
||||
p = random.randint(1000, 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)
|
||||
n = random.randint(1, maxTime)
|
||||
a = p * (1 + r / 100)**n
|
||||
problem = "Compound interest for a principle amount of " + \
|
||||
str(p) + " dollars, " + str(r) + \
|
||||
"% rate of interest and for a time period of " + str(n) + " year is = "
|
||||
solution = round(a, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
compound_interest = Generator(
|
||||
"Compound Interest", 78,
|
||||
"Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ",
|
||||
"A dollars", compoundInterestFunc)
|
||||
"Compound interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ",
|
||||
"d dollars", compoundInterestFunc)
|
||||
|
||||
@@ -10,5 +10,6 @@ def cubeRootFunc(minNo=1, maxNo=1000):
|
||||
return problem, solution
|
||||
|
||||
|
||||
cube_root = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is",
|
||||
"b", cubeRootFunc)
|
||||
cube_root = Generator("Cube Root", 47,
|
||||
"Cuberoot of a upto 2 decimal places is", "b",
|
||||
cubeRootFunc)
|
||||
|
||||
17
mathgenerator/funcs/curved_surface_area_cylinder.py
Normal file
17
mathgenerator/funcs/curved_surface_area_cylinder.py
Normal file
@@ -0,0 +1,17 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def curvedSurfaceAreaCylinderFunc(maxRadius=49, maxHeight=99):
|
||||
r = random.randint(1, maxRadius)
|
||||
h = random.randint(1, maxHeight)
|
||||
problem = f"What is the curved surface area of a cylinder of radius, {r} and height, {h}?"
|
||||
csa = float(2 * math.pi * r * h)
|
||||
formatted_float = round(csa, 2) # "{:.5f}".format(csa)
|
||||
solution = f"CSA of cylinder = {formatted_float}"
|
||||
return problem, solution
|
||||
|
||||
|
||||
curved_surface_area_cylinder = Generator(
|
||||
"Curved surface area of a cylinder", 95,
|
||||
"What is CSA of a cylinder of radius, r and height, h?", "csa of cylinder",
|
||||
curvedSurfaceAreaCylinderFunc)
|
||||
@@ -16,7 +16,7 @@ def dataSummaryFunc(number_values=15, minval=5, maxval=50):
|
||||
var += (random_list[i] - mean)**2
|
||||
|
||||
standardDeviation = var / number_values
|
||||
variance = (var / number_values) ** 0.5
|
||||
variance = (var / number_values)**0.5
|
||||
|
||||
problem = "Find the mean,standard deviation and variance for the data" + \
|
||||
str(random_list)
|
||||
|
||||
@@ -9,4 +9,5 @@ def decimalToOctalFunc(maxDecimal=4096):
|
||||
|
||||
|
||||
decimal_to_octal = Generator("Converts decimal to octal", 84,
|
||||
"What's the octal representation of 98?", "0o142", decimalToOctalFunc)
|
||||
"What's the octal representation of 98?", "0o142",
|
||||
decimalToOctalFunc)
|
||||
|
||||
@@ -4,7 +4,15 @@ from .__init__ import *
|
||||
def decimalToRomanNumeralsFunc(maxDecimal=4000):
|
||||
x = random.randint(0, maxDecimal)
|
||||
problem = "The number " + str(x) + " in Roman Numerals is: "
|
||||
roman_dict = {1: "I", 5: "V", 10: "X", 50: "L", 100: "C", 500: "D", 1000: "M"}
|
||||
roman_dict = {
|
||||
1: "I",
|
||||
5: "V",
|
||||
10: "X",
|
||||
50: "L",
|
||||
100: "C",
|
||||
500: "D",
|
||||
1000: "M"
|
||||
}
|
||||
divisor = 1
|
||||
while x >= divisor:
|
||||
divisor *= 10
|
||||
@@ -15,7 +23,7 @@ def decimalToRomanNumeralsFunc(maxDecimal=4000):
|
||||
if last_value <= 3:
|
||||
solution += (roman_dict[divisor] * last_value)
|
||||
elif last_value == 4:
|
||||
solution += (roman_dict[divisor] * roman_dict[divisor * 5])
|
||||
solution += (roman_dict[divisor] + roman_dict[divisor * 5])
|
||||
elif 5 <= last_value <= 8:
|
||||
solution += (roman_dict[divisor * 5] + (roman_dict[divisor] * (last_value - 5)))
|
||||
elif last_value == 9:
|
||||
@@ -25,5 +33,6 @@ def decimalToRomanNumeralsFunc(maxDecimal=4000):
|
||||
return problem, solution
|
||||
|
||||
|
||||
decimal_to_roman_numerals = Generator("Converts decimal to Roman Numerals",
|
||||
85, "Convert 20 into Roman Numerals", "XX", decimalToRomanNumeralsFunc)
|
||||
decimal_to_roman_numerals = Generator("Converts decimal to Roman Numerals", 85,
|
||||
"Convert 20 into Roman Numerals", "XX",
|
||||
decimalToRomanNumeralsFunc)
|
||||
|
||||
@@ -4,9 +4,8 @@ from scipy.integrate import quad
|
||||
|
||||
|
||||
def definiteIntegralFunc(max_coeff=100):
|
||||
|
||||
def integrand(x, a, b, c):
|
||||
return a * x ** 2 + b * x + c
|
||||
return a * x**2 + b * x + c
|
||||
|
||||
a = random.randint(0, max_coeff)
|
||||
b = random.randint(0, max_coeff)
|
||||
@@ -23,5 +22,7 @@ def definiteIntegralFunc(max_coeff=100):
|
||||
return problem, solution
|
||||
|
||||
|
||||
definite_integral = Generator("Definite Integral of Quadratic Equation", 89,
|
||||
"The definite integral within limits 0 to 1 of quadratic equation ax^2+bx+c is = ", "S", definiteIntegralFunc)
|
||||
definite_integral = Generator(
|
||||
"Definite Integral of Quadratic Equation", 89,
|
||||
"The definite integral within limits 0 to 1 of quadratic equation ax^2+bx+c is = ",
|
||||
"S", definiteIntegralFunc)
|
||||
|
||||
@@ -13,5 +13,5 @@ def degreeToRadFunc(max_deg=360):
|
||||
return problem, solution
|
||||
|
||||
|
||||
degree_to_rad = Generator("Degrees to Radians", 86,
|
||||
"Angle a in radians is = ", "b", degreeToRadFunc)
|
||||
degree_to_rad = Generator("Degrees to Radians", 86, "Angle a in radians is = ",
|
||||
"b", degreeToRadFunc)
|
||||
|
||||
@@ -49,5 +49,6 @@ def differentiationFunc(diff_lvl=2):
|
||||
return problem, solution
|
||||
|
||||
|
||||
differentiation = Generator(
|
||||
"Differentiation", 88, "differentiate w.r.t x : d(f(x))/dx", "g(x)", differentiationFunc)
|
||||
differentiation = Generator("Differentiation", 88,
|
||||
"differentiate w.r.t x : d(f(x))/dx", "g(x)",
|
||||
differentiationFunc)
|
||||
|
||||
@@ -14,6 +14,7 @@ def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
|
||||
return problem, solution
|
||||
|
||||
|
||||
distance_two_points = Generator("Distance between 2 points", 24,
|
||||
"Find the distance between (x1,y1) and (x2,y2)",
|
||||
"sqrt(distanceSquared)", distanceTwoPointsFunc)
|
||||
distance_two_points = Generator(
|
||||
"Distance between 2 points", 24,
|
||||
"Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)",
|
||||
distanceTwoPointsFunc)
|
||||
|
||||
@@ -2,12 +2,15 @@ from .__init__ import *
|
||||
|
||||
|
||||
def euclidianNormFunc(maxEltAmt=20):
|
||||
vec = [random.uniform(0, 1000) for i in range(random.randint(2, maxEltAmt))]
|
||||
vec = [
|
||||
random.uniform(0, 1000) for i in range(random.randint(2, maxEltAmt))
|
||||
]
|
||||
problem = f"Euclidian norm or L2 norm of the vector{vec} is:"
|
||||
solution = math.sqrt(sum([i**2 for i in vec]))
|
||||
return problem, solution
|
||||
|
||||
|
||||
eucldian_norm = Generator("Euclidian norm or L2 norm of a vector", 69,
|
||||
"Euclidian Norm of a vector V:[v1, v2, ......., vn]",
|
||||
"sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc)
|
||||
eucldian_norm = Generator(
|
||||
"Euclidian norm or L2 norm of a vector", 69,
|
||||
"Euclidian Norm of a vector V:[v1, v2, ......., vn]",
|
||||
"sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc)
|
||||
|
||||
@@ -27,6 +27,7 @@ def geometricMeanFunc(maxValue=100, maxNum=4):
|
||||
return problem, solution
|
||||
|
||||
|
||||
geometric_mean = Generator("Geometric Mean of N Numbers", 67,
|
||||
"Geometric mean of n numbers A1 , A2 , ... , An = ",
|
||||
"(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)
|
||||
geometric_mean = Generator(
|
||||
"Geometric Mean of N Numbers", 67,
|
||||
"Geometric mean of n numbers A1 , A2 , ... , An = ",
|
||||
"(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)
|
||||
|
||||
@@ -78,5 +78,6 @@ def matrixInversion(SquareMatrixDimension=3,
|
||||
return problem, solution
|
||||
|
||||
|
||||
invert_matrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is",
|
||||
"A^(-1)", matrixInversion)
|
||||
invert_matrix = Generator("Inverse of a Matrix", 74,
|
||||
"Inverse of a matrix A is", "A^(-1)",
|
||||
matrixInversion)
|
||||
|
||||
@@ -18,5 +18,5 @@ def isprime(max_a=100):
|
||||
return (problem, solution)
|
||||
|
||||
|
||||
is_prime = Generator('isprime', 90, 'a any positive integer',
|
||||
'True/False', isprime)
|
||||
is_prime = Generator('isprime', 90, 'a any positive integer', 'True/False',
|
||||
isprime)
|
||||
|
||||
@@ -13,5 +13,6 @@ def MidPointOfTwoPointFunc(maxValue=20):
|
||||
|
||||
|
||||
midPoint_of_two_points = Generator("Midpoint of the two point", 20,
|
||||
"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)",
|
||||
"((X1,Y1),(X2,Y2))=",
|
||||
"((X1+X2)/2,(Y1+Y2)/2)",
|
||||
MidPointOfTwoPointFunc)
|
||||
|
||||
18
mathgenerator/funcs/perimeter_of_polygons.py
Normal file
18
mathgenerator/funcs/perimeter_of_polygons.py
Normal file
@@ -0,0 +1,18 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def perimeterOfPolygons(maxSides=12, maxLength=120):
|
||||
size_of_sides = random.randint(3, maxSides)
|
||||
sides = []
|
||||
for x in range(size_of_sides):
|
||||
sides.append(random.randint(1, maxLength))
|
||||
problem = "The perimeter of a " + str(size_of_sides) + \
|
||||
" sided polygon with lengths of " + str(sides) + "cm is: "
|
||||
solution = 0
|
||||
for y in range(len(sides)):
|
||||
solution += sides[y]
|
||||
return problem, solution
|
||||
|
||||
|
||||
perimeter_of_polygons = Generator(
|
||||
"Perimeter of Polygons", 96, "The perimeter of a x sided polygon with lengths of y cm is: ", "z", perimeterOfPolygons)
|
||||
20
mathgenerator/funcs/power_of_powers.py
Normal file
20
mathgenerator/funcs/power_of_powers.py
Normal file
@@ -0,0 +1,20 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def powerOfPowersFunc(maxBase=50, maxPower=10):
|
||||
base = random.randint(1, maxBase)
|
||||
power1 = random.randint(1, maxPower)
|
||||
power2 = random.randint(1, maxPower)
|
||||
step = power1 * power2
|
||||
|
||||
problem = "The {base}^{power1}^{power2} = " \
|
||||
"{base}^({power1}*{power2}) = {base}^{step}".format(base=base,
|
||||
power1=power1,
|
||||
power2=power2,
|
||||
step=step)
|
||||
solution = str(base ** step)
|
||||
return problem, solution
|
||||
|
||||
|
||||
power_of_powers = Generator("Power of Powers", 97,
|
||||
"6^4^2 = 6^(4*2) = 6^6", "46656", powerOfPowersFunc)
|
||||
@@ -18,6 +18,6 @@ def powerRuleDifferentiationFunc(maxCoef=10, maxExp=10, maxTerms=5):
|
||||
return problem, solution
|
||||
|
||||
|
||||
power_rule_differentiation = Generator("Power Rule Differentiation", 7, "nx^m=",
|
||||
"(n*m)x^(m-1)",
|
||||
power_rule_differentiation = Generator("Power Rule Differentiation", 7,
|
||||
"nx^m=", "(n*m)x^(m-1)",
|
||||
powerRuleDifferentiationFunc)
|
||||
|
||||
20
mathgenerator/funcs/quotient_of_power_same_base.py
Normal file
20
mathgenerator/funcs/quotient_of_power_same_base.py
Normal file
@@ -0,0 +1,20 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def quotientOfPowerSameBaseFunc(maxBase=50, maxPower=10):
|
||||
base = random.randint(1, maxBase)
|
||||
power1 = random.randint(1, maxPower)
|
||||
power2 = random.randint(1, maxPower)
|
||||
step = power1 - power2
|
||||
|
||||
problem = "The Quotient of {base}^{power1} and {base}^{power2} = " \
|
||||
"{base}^({power1}-{power2}) = {base}^{step}".format(base=base,
|
||||
power1=power1,
|
||||
power2=power2,
|
||||
step=step)
|
||||
solution = str(base ** step)
|
||||
return problem, solution
|
||||
|
||||
|
||||
quotient_of_power_same_base = Generator("Quotient of Powers with Same Base", 98,
|
||||
"6^4 / 6^2 = 6^(4-2) = 6^2", "36", quotientOfPowerSameBaseFunc)
|
||||
20
mathgenerator/funcs/quotient_of_power_same_power.py
Normal file
20
mathgenerator/funcs/quotient_of_power_same_power.py
Normal file
@@ -0,0 +1,20 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def quotientOfPowerSamePowerFunc(maxBase=50, maxPower=10):
|
||||
base1 = random.randint(1, maxBase)
|
||||
base2 = random.randint(1, maxBase)
|
||||
power = random.randint(1, maxPower)
|
||||
step = base1 / base2
|
||||
|
||||
problem = "The Quotient of {base1}^{power} and {base2}^{power} = " \
|
||||
"({base1}/{base2})^{power} = {step}^{power}".format(base1=base1,
|
||||
base2=base2,
|
||||
power=power,
|
||||
step=step)
|
||||
solution = str(step ** power)
|
||||
return problem, solution
|
||||
|
||||
|
||||
quotient_of_power_same_power = Generator("Quotient of Powers with Same Power", 99,
|
||||
"6^4 / 3^4 = (6/3)^4 = 2^4", "16", quotientOfPowerSamePowerFunc)
|
||||
@@ -14,5 +14,5 @@ def radianToDegFunc(max_rad=3):
|
||||
return problem, solution
|
||||
|
||||
|
||||
radian_to_deg = Generator("Radians to Degrees", 87,
|
||||
"Angle a in degrees is = ", "b", radianToDegFunc)
|
||||
radian_to_deg = Generator("Radians to Degrees", 87, "Angle a in degrees is = ",
|
||||
"b", radianToDegFunc)
|
||||
|
||||
@@ -12,5 +12,5 @@ def sectorAreaFunc(maxRadius=49, maxAngle=359):
|
||||
|
||||
|
||||
sector_area = Generator("Area of a Sector", 75,
|
||||
"Area of a sector with radius, r and angle, a ", "Area",
|
||||
sectorAreaFunc)
|
||||
"Area of a sector with radius, r and angle, a ",
|
||||
"Area", sectorAreaFunc)
|
||||
|
||||
27
mathgenerator/funcs/set_operation.py
Normal file
27
mathgenerator/funcs/set_operation.py
Normal file
@@ -0,0 +1,27 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def set_operation(minval=3, maxval=7, n_a=4, n_b=5):
|
||||
number_variables_a = random.randint(minval, maxval)
|
||||
number_variables_b = random.randint(minval, maxval)
|
||||
a = []
|
||||
b = []
|
||||
for i in range(number_variables_a):
|
||||
a.append(random.randint(1, 10))
|
||||
for i in range(number_variables_b):
|
||||
b.append(random.randint(1, 10))
|
||||
a = set(a)
|
||||
b = set(b)
|
||||
problem = "Given the two sets a=" + \
|
||||
str(a) + " ,b=" + str(b) + ".Find the Union,intersection,a-b,b-a and symmetric difference"
|
||||
solution = "Union is " + str(a.union(b)) + ",Intersection is " + str(
|
||||
a.intersection(b)) + ", a-b is " + str(
|
||||
a.difference(b)) + ",b-a is " + str(
|
||||
b.difference(a)) + ", Symmetric difference is " + str(
|
||||
a.symmetric_difference(b))
|
||||
return problem, solution
|
||||
|
||||
|
||||
set_operation = Generator("Union,Intersection,Difference of Two Sets", 93,
|
||||
"Union,intersection,difference", "aUb,a^b,a-b,b-a,",
|
||||
set_operation)
|
||||
@@ -1,7 +1,6 @@
|
||||
from .funcs import *
|
||||
from .__init__ import getGenList
|
||||
|
||||
|
||||
genList = getGenList()
|
||||
|
||||
|
||||
|
||||
4
setup.py
4
setup.py
@@ -1,12 +1,12 @@
|
||||
from setuptools import setup, find_packages
|
||||
|
||||
setup(name='mathgenerator',
|
||||
version='1.1.3',
|
||||
version='1.1.4',
|
||||
description='An open source solution for generating math problems',
|
||||
url='https://github.com/todarith/mathgenerator',
|
||||
author='Luke Weiler',
|
||||
author_email='lukew25073@gmail.com',
|
||||
license='MIT',
|
||||
packages=find_packages(),
|
||||
install_requires=[],
|
||||
install_requires=['sympy', 'numpy', 'scipy'],
|
||||
entry_points={})
|
||||
|
||||
Reference in New Issue
Block a user