Add report for Assignment1

Assignment1/report1.tex

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+%! TeX program = lualatex
+\RequirePackage[l2tabu,orthodox]{nag}
+\DocumentMetadata{lang=en-US}
+\documentclass[a4paper]{scrarticle}
+\usepackage{geometry}
+%\usepackage{tikz}
+%\usepackage{tikz-uml}
+\usepackage{hyperref}
+\usepackage{caption}
+\usepackage{bookmark}
+\usepackage{fontspec}
+\usepackage{microtype}
+\usepackage{graphicx}
+
+% Math packages
+%\usepackage{amsmath}
+%\usepackage{mathtools}
+%\usepackage{amsthm}
+%\usepackage{thmtools}
+%\usepackage{lualatex-math}
+
+% Unicode Math
+\usepackage[warnings-off={mathtools-colon,mathtools-overbracket},math-style=ISO]{unicode-math}
+\usepackage{newcomputermodern}
+
+\newcommand*{\figref}[2][]{%
+  \hyperref[{fig:#2}]{%
+    Figure~\ref*{fig:#2}%
+    \ifx\\#1\\%
+    \else
+      \,#1%
+    \fi
+  }%
+}
+
+%\DeclarePairedDelimiter\ceil{\lceil}{\rceil}
+%\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}
+
+%\declaretheorem[within=chapter]{definition}
+%\declaretheorem[sibling=definition]{theorem}
+%\declaretheorem[sibling=definition]{corollary}
+%\declaretheorem[sibling=definition]{principle}
+
+\usepackage{polyglossia}
+\usepackage[backend=biber]{biblatex}
+
+\setdefaultlanguage[variant=american,ordinalmonthday=true]{english}
+
+\day=7
+\month=2
+\year=2024
+
+\title{Assignment 1 Report}
+\subtitle{Imperative Programming in C}
+\author{Juan Pablo Zendejas}
+\date{\today}
+
+\begin{document}
+
+\maketitle
+%\tableofcontents
+
+In this assignment, I was tasked with performing image manipulation
+using an imperative programming style in C. Using the provided PGM file,
+I wrote a program to do a threshold and rotation transformation by
+reading the image into a 2D matrix and writing the resulting 2D matrices
+to separate files.
+
+\begin{figure}[h]
+	\centering
+	\begin{minipage}{0.3\textwidth}
+		\centering
+		\includegraphics[width=0.7\linewidth]{lenna.png}
+		\captionof{figure}{Input file}
+		\label{fig:lenna}
+	\end{minipage}%
+	\begin{minipage}{0.3\textwidth}
+		\centering
+		\includegraphics[width=0.7\linewidth]{rotate.png}
+		\captionof{figure}{Transposed}
+		\label{fig:transpose}
+	\end{minipage}%
+	\begin{minipage}{0.3\textwidth}
+		\centering
+		\includegraphics[width=0.7\linewidth]{threshold.png}
+		\captionof{figure}{Threshold}
+		\label{fig:thresh}
+	\end{minipage}%
+\end{figure}
+
+In \figref{lenna}, we see the provided input file. \figref{transpose}
+represents a transposed or rotated version of the image. Finally,
+\figref{thresh} is the image with a threshold value of 80 applied.
+Values above 80 in the 0-255 range become white while values below 80
+become black.
+
+The assignment did not take too long to complete. While I was creating
+the transformation code, I ran into a segmentation fault issue when
+attempting to duplicate the matrix with the \texttt{memcpy} function.
+Eventually, I discovered that I forgot to use \texttt{malloc} on the
+rows to create the 2nd level of the 2D matrix. Once I solved that issue,
+the math was fairly simple.
+
+Due to the way the rotation operation was performed using a transpose,
+rotating twice would result in the original image. Mathematically, this
+is because the transformation is the inverse of itself. Swapping $x$ and
+$y$ coordinates twice will result in the coordinates ending in the same
+order. Rotating twice would not cause the image to be upside down
+because it is not a 90° rotation, but rather a mirroring along the
+diagonal of the image.
+
+I did not collaborate during this assignment. I used the UNIX
+\texttt{man} pages for documentation on the standard library and did not
+use any external library.
+
+\end{document}