README.tex

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\begin{document}

	\justifying

	\begin{center}
		\textbf{{\large Assignment 2}}

		\textbf{Developing a Basic Genetic Optimization Algorithm in C}

		Vineet Aggarwal
	\end{center}





	\section{Introduction}

	\begin{table}[h!]
		\caption{Results with Crossover Rate = 0.5 and Mutation Rate = 0.05}
		\label{table:1}
		\centering
		\begin{tabular}{c c c c c c}
			\hline
			Pop Size & Max Gen & \multicolumn{3}{c}{Best Solution} & CPU time (Sec) \\
			& & $x_1$ & $x_2$ & Fitness & \\
			\hline
			10  & 100    & 0.051087   &0.000000  &0.212513 &0.000981\\
			100 & 100    &0.027090  &0.000000 &0.096044 &0.003569\\
			1000& 100    &0.001361  &0.000000  &0.003899 &0.024140\\
			10000& 100    &0.000273  &0.000000   &0.000775 &0.204705\\
			\hline
			1000  & 1000   &0.004293  &0.000000 &0.012634 &0.316843\\
			1000 & 10000  &0.001085  &0.000000  &0.003100 &2.616101\\
			1000& 100000 &0.000980  &0.000822   &0.003661 &25.767036\\
			1000& 1000000 &0.000025  &0.000096   &0.000096 &267.165445\\
			\hline
		\end{tabular}
	\end{table}

	\begin{table}[h!]
        \caption{Results with Crossover Rate = 0.5 and Mutation Rate = 0.2}
        \label{table:1}
        \centering
        \begin{tabular}{c c c c c c}
            \hline
            Pop Size & Max Gen & \multicolumn{3}{c}{Best Solution} & CPU time (Sec) \\
            & & $x_1$ & $x_2$ & Fitness & \\
            \hline
            10  & 100    & 0.060030 & 0.063430  & 0.448721 &0.000400 \\
            100 & 100    & 0.024239 & 0.023201 & 0.121000 &0.002543\\
            1000& 100    &0.022354  &0.082469  &0.46394 &0.034303\\
            10000& 100    &0.007965  &0.013263 &0.043277 &0.236576\\
            \hline
            1000  & 1000   &0.005743 &0.005942 &0.023440 &0.251751\\
            1000 & 10000  &0.000643  &0.000497  &0.002473 &2.563443\\
            1000& 100000 &0.000796  &0.000198   &0.002643 &24.984203\\
            1000& 1000000 &0.000256  &0.000190  &0.000810 &256.206210\\
            \hline
        \end{tabular}
    \end{table}

\subsection{Report and \codebox{Makefile} (3 points)}
To run the makefile, you have to first make sure that it is installed in the terminal, and if not follow the prompts to install it. After that, you can type "make" into the terminal to run it. You can use "make clean" to reset everything and use "make" again to run it. This Makefile is a set of instructions for the make build automation tool to compile a C program. Here's a concise explanation:

The variables are defined at the beginning, where CC is the compiler (gcc), CFLAGS are the compilation flags (including -Wall, -Wextra, and -std=c99), SOURCES lists the source code files, OBJECTS specifies the corresponding object files, EXECUTABLE is the name of the final executable, and LIBS includes the math library (-lm).

The default target is all, which depends on the (EXECUTABLE) target. The "(EXECUTABLE)" target, in turn, depends on the (OBJECTS) target. The rule for creating the executable specifies that it should be built using the specified compiler ((CC)) and linked with the object files and libraries.

The next rule, .o: .c, is a pattern rule for building object files from C source files. It compiles each source file using the compiler and flags defined earlier.

The clean target is defined to remove the compiled object files and the executable when executed.

In summary, this Makefile automates the compilation process of a C program by specifying rules for compiling source files, linking object files, and cleaning up generated files. The make tool uses these rules to determine what needs to be rebuilt based on dependencies and timestamps.\\
...

\end{document}