spiral matrix and prime factors exercise

This commit is contained in:
Xevion
2019-07-24 14:37:17 -05:00
parent 307ae9d675
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{"track":"python","exercise":"spiral-matrix","id":"e351192377fc41329076c9d6636ef233","url":"https://exercism.io/my/solutions/e351192377fc41329076c9d6636ef233","handle":"Xevion","is_requester":true,"auto_approve":false}
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# Spiral Matrix
Given the size, return a square matrix of numbers in spiral order.
The matrix should be filled with natural numbers, starting from 1
in the top-left corner, increasing in an inward, clockwise spiral order,
like these examples:
###### Spiral matrix of size 3
```text
1 2 3
8 9 4
7 6 5
```
###### Spiral matrix of size 4
```text
1 2 3 4
12 13 14 5
11 16 15 6
10 9 8 7
```
## Exception messages
Sometimes it is necessary to raise an exception. When you do this, you should include a meaningful error message to
indicate what the source of the error is. This makes your code more readable and helps significantly with debugging. Not
every exercise will require you to raise an exception, but for those that do, the tests will only pass if you include
a message.
To raise a message with an exception, just write it as an argument to the exception type. For example, instead of
`raise Exception`, you should write:
```python
raise Exception("Meaningful message indicating the source of the error")
```
## Running the tests
To run the tests, run the appropriate command below ([why they are different](https://github.com/pytest-dev/pytest/issues/1629#issue-161422224)):
- Python 2.7: `py.test spiral_matrix_test.py`
- Python 3.4+: `pytest spiral_matrix_test.py`
Alternatively, you can tell Python to run the pytest module (allowing the same command to be used regardless of Python version):
`python -m pytest spiral_matrix_test.py`
### Common `pytest` options
- `-v` : enable verbose output
- `-x` : stop running tests on first failure
- `--ff` : run failures from previous test before running other test cases
For other options, see `python -m pytest -h`
## Submitting Exercises
Note that, when trying to submit an exercise, make sure the solution is in the `$EXERCISM_WORKSPACE/python/spiral-matrix` directory.
You can find your Exercism workspace by running `exercism debug` and looking for the line that starts with `Workspace`.
For more detailed information about running tests, code style and linting,
please see [Running the Tests](http://exercism.io/tracks/python/tests).
## Source
Reddit r/dailyprogrammer challenge #320 [Easy] Spiral Ascension. [https://www.reddit.com/r/dailyprogrammer/comments/6i60lr/20170619_challenge_320_easy_spiral_ascension/](https://www.reddit.com/r/dailyprogrammer/comments/6i60lr/20170619_challenge_320_easy_spiral_ascension/)
## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.
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# Two lines, dude. ez.
def spiral_matrix(size):
return [] if size < 1 else Matrix(size).matrix
# Class for a pathfinding based spiral generation
class Matrix:
def __init__(self, size):
self.size = size
self.matrix = [[None for y in range(size)] for x in range(size)]
self.i = 1
self.cur = (0, 0)
self.cardinals = [(0, 1), (1, 0), (-1, 0), (0, -1)]
self.dir_index = 0
self.loop()
# Loop that builds the spiral matrix
def loop(self):
# While the current number is less than the maximum number
while self.i < (self.size ** 2):
# If the next position is not valid, turn
if not self.valid(self.nextpos):
self.dir_index = (self.dir_index + 1) % 4
else:
self.access()
self.cur = self.nextpos
self.access()
# Access a position and increment the counter
def access(self):
self.matrix[self.cur[0]][self.cur[1]] = self.i
self.i += 1
# Just the current direction (as an offset)
@property
def direction(self):
return self.cardinals[self.dir_index]
# Next position for access based on the current direction
@property
def nextpos(self):
return (self.cur[0] + self.direction[0], self.cur[1] + self.direction[1])
# Determine whether a position is valid to be approached
def valid(self, pos):
return self.validxy(pos[0], pos[1]) and not self.matrix[pos[0]][pos[1]]
# Determine whether a position is
def validxy(self, x, y):
return x >= 0 and x < self.size and y >= 0 and y < self.size
# Printable Matrix with proper character space justification
def __repr__(self):
return '\n'.join([' '.join(map(lambda item : str(item or '?').rjust(len(str(self.size ** 2))), sub)) for sub in self.matrix])
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import unittest
from spiral_matrix import spiral_matrix
# Tests adapted from `problem-specifications//canonical-data.json` @ v1.1.0
class SpiralMatrixTest(unittest.TestCase):
def test_empty_spiral(self):
self.assertEqual(spiral_matrix(0), [
])
def test_trivial_spiral(self):
self.assertEqual(spiral_matrix(1), [
[1]
])
def test_spiral_of_size_2(self):
self.assertEqual(spiral_matrix(2), [
[1, 2],
[4, 3]
])
def test_spiral_of_size_3(self):
self.assertEqual(spiral_matrix(3), [
[1, 2, 3],
[8, 9, 4],
[7, 6, 5]
])
def test_spiral_of_size_4(self):
self.assertEqual(spiral_matrix(4), [
[1, 2, 3, 4],
[12, 13, 14, 5],
[11, 16, 15, 6],
[10, 9, 8, 7]
])
def test_spiral_of_size_5(self):
self.assertEqual(spiral_matrix(5), [
[1, 2, 3, 4, 5],
[16, 17, 18, 19, 6],
[15, 24, 25, 20, 7],
[14, 23, 22, 21, 8],
[13, 12, 11, 10, 9]
])
if __name__ == '__main__':
unittest.main()