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Ulam_Spiral

Python script for finding the L1-norm (Manhattan) metric distance from the center of an Ulam Spiral (Nautilus Walk) to a given point.

Author

Clark Xu - December 7, 2022

Purpose

The Python script features a Nautilus Walk function. It includes two helper functions for constructing the Ulam Spiral squares and calculating Manhattan metric distance over the Ulam Spiral. It also includes 19 tests for verifying the script functionality, including 4 standard tests, 4 diagonal tests, 6 edge case tests, and 5 input error tests.

NumPy documented at: https://numpy.org/doc/stable/contents.html

Specifications and Dependencies

Specifications:

Python 3

Dependencies:

numpy

Details

Script Name:
nautilus_walk.py

Script Input:
4 standard test cases
4 diagonal test cases
6 edge case test cases
5 input error test cases

Script Output:
4 standard tests
4 diagonal tests
6 edge case tests
5 input error tests

The Python script takes about 0.1 seconds to run on 19 tests.

Licensing (The MIT License)

Copyright 2022 Clark Xu

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

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Python implementation of Manhattan metric distance over the Ulam Spiral

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