Add 'Programming/ECRYPT_PROJECT/' from commit '0191d102d1acfbd8a764b53efe3da5730bef383b'

git-subtree-dir: Programming/ECRYPT_PROJECT
git-subtree-mainline: be962d0c35
git-subtree-split: 0191d102d1

Programming/ECRYPT_PROJECT/.gitignore

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+# Byte-compiled / optimized / DLL files
+__pycache__/
+*.py[cod]
+*$py.class
+
+# C extensions
+*.so
+
+# Distribution / packaging
+.Python
+build/
+develop-eggs/
+dist/
+downloads/
+eggs/
+.eggs/
+lib/
+lib64/
+parts/
+sdist/
+var/
+wheels/
+share/python-wheels/
+*.egg-info/
+.installed.cfg
+*.egg
+MANIFEST
+
+# PyInstaller
+#  Usually these files are written by a python script from a template
+#  before PyInstaller builds the exe, so as to inject date/other infos into it.
+*.manifest
+*.spec
+
+# Installer logs
+pip-log.txt
+pip-delete-this-directory.txt
+
+# Unit test / coverage reports
+htmlcov/
+.tox/
+.nox/
+.coverage
+.coverage.*
+.cache
+nosetests.xml
+coverage.xml
+*.cover
+*.py,cover
+.hypothesis/
+.pytest_cache/
+cover/
+
+# Translations
+*.mo
+*.pot
+
+# Django stuff:
+*.log
+local_settings.py
+db.sqlite3
+db.sqlite3-journal
+
+# Flask stuff:
+instance/
+.webassets-cache
+
+# Scrapy stuff:
+.scrapy
+
+# Sphinx documentation
+docs/_build/
+
+# PyBuilder
+.pybuilder/
+target/
+
+# Jupyter Notebook
+.ipynb_checkpoints
+
+# IPython
+profile_default/
+ipython_config.py
+
+# pyenv
+#   For a library or package, you might want to ignore these files since the code is
+#   intended to run in multiple environments; otherwise, check them in:
+# .python-version
+
+# pipenv
+#   According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
+#   However, in case of collaboration, if having platform-specific dependencies or dependencies
+#   having no cross-platform support, pipenv may install dependencies that don't work, or not
+#   install all needed dependencies.
+#Pipfile.lock
+
+# poetry
+#   Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control.
+#   This is especially recommended for binary packages to ensure reproducibility, and is more
+#   commonly ignored for libraries.
+#   https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control
+#poetry.lock
+
+# pdm
+#   Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control.
+#pdm.lock
+#   pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it
+#   in version control.
+#   https://pdm.fming.dev/#use-with-ide
+.pdm.toml
+
+# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm
+__pypackages__/
+
+# Celery stuff
+celerybeat-schedule
+celerybeat.pid
+
+# SageMath parsed files
+*.sage.py
+
+# Environments
+.env
+.venv
+env/
+venv/
+ENV/
+env.bak/
+venv.bak/
+
+# Spyder project settings
+.spyderproject
+.spyproject
+
+# Rope project settings
+.ropeproject
+
+# mkdocs documentation
+/site
+
+# mypy
+.mypy_cache/
+.dmypy.json
+dmypy.json
+
+# Pyre type checker
+.pyre/
+
+# pytype static type analyzer
+.pytype/
+
+# Cython debug symbols
+cython_debug/
+
+# PyCharm
+#  JetBrains specific template is maintained in a separate JetBrains.gitignore that can
+#  be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore
+#  and can be added to the global gitignore or merged into this file.  For a more nuclear
+#  option (not recommended) you can uncomment the following to ignore the entire idea folder.
+#.idea/
+
+# LaTeXa
+*.aux
+*.fdb_latexmk
+*.fls
+*.log
+*.synctex.gz
+*.xdv

Programming/ECRYPT_PROJECT/README.md

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+# ECRYPT_PROJECT

Programming/ECRYPT_PROJECT/code/conftest.py

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+import pandas as pd
+import pytest
+
+from .project import sieve_of_eratosthenes
+
+
+def pytest_addoption(parser):
+    parser.addoption(
+        "--primes",
+        action="store",
+        default='100',
+        help="Upper bound for primes to test."
+    )
+    parser.addoption(
+        "--composites",
+        action="store",
+        default='100',
+        help="Upper bound for composites to test."
+    )
+
+
+def pytest_configure(config):
+    pytest.primes = int(config.getoption("--primes"))
+    pytest.composites = int(config.getoption("--composites"))
+
+
+def pytest_generate_tests(metafunc):
+    df_prime = pd.read_csv("P-100000.csv", header=None)
+    df_prime = df_prime[df_prime.iloc[:, 1] <  pytest.primes]
+    primes = set(df_prime.iloc[:, 1])
+    df_composite = pd.read_csv("C-100000.csv", header=None, delimiter="=")
+    # interpret first oclumns as numbers
+    df_composite = df_composite[df_composite.iloc[:, 0] < pytest.composites]
+    composites = set(df_composite.iloc[:, 0])
+    if metafunc.function.__name__ == 'test_positives':
+        metafunc.parametrize('prime', primes)
+        metafunc.parametrize('primes_obtained', [sieve_of_eratosthenes(max(primes) + 1),])
+
+    if metafunc.function.__name__ == 'test_composites':
+        metafunc.parametrize('composite', composites)
+        metafunc.parametrize('primes_obtained', [sieve_of_eratosthenes(max(composites) + 1),])

Programming/ECRYPT_PROJECT/code/project.py

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+'''Python program to print all Primes Smaller than or equal to N using Sieve of Eratosthenes'''
+import math
+  
+def sieve_of_eratosthenes(num: int) -> list[int]:
+    """Finds all prime number from 1 to num.
+    
+    Args:
+        num (int): Number up to which the prime numbers should be printed
+    
+    Returns:
+        list[int]: List of prime numbers
+    """
+    if num <= 0:
+        raise ValueError("Number should not be negative.")
+    # boolean list to store if a number is prime or not
+    prime = [True] * (num+1)
+    p = 2 # starting prime number
+    # we will iterate till square root of num because 
+    # if a number is not prime then it will have a factor less than or equal to square root of that number
+    while p <= math.sqrt(num):
+        # If prime[p] is not
+        # changed, then it is a prime
+        if prime[p]:
+            i = (p << 1) # i = p * 2
+            # Updating all multiples of p
+            while i <= num:
+                prime[i] = False
+                i += p
+        p += 1
+    return [p for p in range(2, num+1) if prime[p]]
+
+
+def print_sieve(num: int) -> None:
+    """Prints all prime number from 1 to num.
+
+    Args:
+        num (int): Number up to which the prime numbers should be printed
+    """
+    for number in sieve_of_eratosthenes(num):
+        print(number, end=" ")
+  
+  
+# Driver code
+if __name__ == '__main__':
+    num = int(input("Enter a number: "))
+    print(f"Following are the prime numbers smaller than or equal to {num}")
+    print_sieve(num)

Programming/ECRYPT_PROJECT/code/test_main.py

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+import pandas as pd
+import pytest
+from .project import sieve_of_eratosthenes
+
+def test_positives(prime, primes_obtained):
+    assert prime in primes_obtained
+
+
+def test_composites(composite, primes_obtained):
+    assert composite not in primes_obtained
+
+
+def test_negatives():
+    with pytest.raises(ValueError):
+        sieve_of_eratosthenes(-1)

Programming/ECRYPT_PROJECT/report/report.aux

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+\relax 
+\providecommand\hyper@newdestlabel[2]{}
+\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
+\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
+\global\let\oldcontentsline\contentsline
+\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
+\global\let\oldnewlabel\newlabel
+\gdef\newlabel#1#2{\newlabelxx{#1}#2}
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+\@writefile{toc}{\contentsline {section}{\numberline {1}Description of the used algorithm}{1}{section.1}\protected@file@percent }
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+\@writefile{toc}{\contentsline {section}{\numberline {2}Functional description of the application}{2}{section.2}\protected@file@percent }
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+\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Format of output data}{3}{subsection.2.3}\protected@file@percent }
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+\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Flowchart of code flow }}{4}{figure.3}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {3}Tests}{5}{section.3}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Source of reference values}{5}{subsection.3.1}\protected@file@percent }
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Programming/ECRYPT_PROJECT/report/report.tex

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+\documentclass[12pt]{article}
+\usepackage{hyperref}
+\usepackage{graphicx}
+\usepackage{float}
+
+\title{ECRYP Project - Sieve of Eratosthenes}
+\author{Krzysztof Rudnicki 307585 \\ Bartłomiej Dybcio 303854}
+
+\begin{document}
+\maketitle
+\section{Description of the used algorithm}
+Sieve of Eratosthenes is used to find all prime numbers below certain limit Lets call this limit $n$ \\ 
+It starts with number 2, which is the first prime number and marks all multiplies of this number (up to predefined limit) as composite (not prime), those numbers will be later ignored \\ 
+Then it takes next available number (3) and does the same thing \\ 
+This is repeated until there are no more numbers below the limit which are neither prime nor crossed out \\ 
+Then we return the list of all non-crossed out (prime) numbers \\ 
+We used more optimized version of this algorithm and cross out composites only up to $\sqrt{n}$ in the main loop \\ 
+\begin{figure}[H]
+
+\centering
+\includegraphics{screenshoot/algorithm_description.png}
+\caption{Sieve of erastosthenes example for numbers up to 120, prime numbers on the right, darker colors show prime numbers, lighter colors show numbers which were checked while checking whether given number was prime \href{https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes}{SOURCE} }
+\end{figure}
+\section{Functional description of the application}
+First we define the limit, we name this limit as $num$ which will decide how many numbers we will check, either by user interface or we hard code it in \\ 
+We define boolean list which will be used to distinguish between prime and composite numbers \\ 
+We start with number 2 and assign it to variable named $p$ \\ 
+Then we calculate the primes using Sieve of Eratosthenes using nested while loops \\ 
+External loop goes through numbers smaller than $\sqrt(num)$, starting with current value of $p$ \\ 
+It checks if the number we are currently was checked out by checking the value of boolean table \\ 
+if it was not checked out it gets a new number which is the $p$ multiplied by 2, then it goes into inner loop \\ 
+inner loop sets all multiplicities of $p$ as crossed out by setting their value in boolean table to false \\ 
+then we increment the $p$ and the whole loop repeats until we run out of numbers \\ 
+we return array of prime numbers to function which prints those numbers 
+
+\begin{figure}[H]
+\centering
+\includegraphics[width=\textwidth]
+{screenshoot/program_use.png}
+\caption{Example of full program use }
+
+\end{figure}
+
+\subsection{Input data format}
+There is single input, variable named $num$ which is the upper limit of numbers to checked \\ 
+It is a simple int variable, it cannot be less than 2 and has to be a whole number. 
+\subsection{Output text on console}
+As an output we put out all input prompts which ask for an upper limit, and the list of prime numbers found by our algorithm. 
+\subsection{Format of output data}
+Output data is a string
+\subsection{Description of designed code structure}
+There are three code blocks, sieve\_of\_eratosthenes, print\_sieve and main function executed at the beginning, main functions gets no arguments and outputs string consisting of prime numbers, print\_sieve function receives number which describes how many numbers should be checked in the sieve, similarly sieve\_of\_erastosthenes takes this number as an argument, and returns list of all prime numbers found by the sieve.
+
+\begin{figure}[H]
+\centering
+\includegraphics[height=\textwidth]
+{screenshoot/code_structure.pdf}
+\caption{Flowchart of code flow }
+
+\end{figure}
+
+
+
+\section{Tests}
+We did three types of tests, positive tests which inputted prime numbers into the sieve and checked if the sieve correctly validated them as prime, negative tests which inputted composite numbers into the sieve and checked if the sieve correctly determined them to not be prime. \\ 
+We know which numbers are prime and which are composite based on the reference value which source was given below. \\ 
+We created two command line arguments: 
+\begin{itemize}
+    \item  primes - which sets maximal number up to which we check correctness of our program in determining whether the number is prime
+    \item composites - which sets maximal number up to which we check correctness of our program in determining whether the number is composite
+\end{itemize}
+\subsection{Source of reference values}
+All reference values were taken from: \href{http://www.naturalnumbers.org/primes.html}{http://www.naturalnumbers.org/primes.html}
+
+\subsection{Correctness of results}
+All of the tests passed successfully with upper limit as high as 100000
+
+\begin{figure}[H]
+\centering
+\includegraphics[width=\textwidth]
+{screenshoot/tests100.png}
+\caption{Test results for up to 100 numbers}
+
+\end{figure}
+
+
+\begin{figure}[H]
+\centering
+\includegraphics[width=\textwidth]
+{screenshoot/tests100000.png}
+\caption{Test results for up to 100000 numbers}
+
+\end{figure}
+
+
+
+\end{document}