1 files changed, 48 insertions, 48 deletions
diff --git a/doc/software_manual.tex b/doc/software_manual.tex
index 292f868..c6eb910 100644
--- a/doc/software_manual.tex
+++ b/doc/software_manual.tex
@@ -1,4 +1,4 @@
-% Created 2023-10-18 Wed 13:06
+% Created 2023-10-30 Mon 09:44
 % Intended LaTeX compiler: pdflatex
 \documentclass[11pt]{article}
 \usepackage[utf8]{inputenc}
@@ -31,8 +31,8 @@
 \setlength\parindent{0pt}
 
 \section{Design}
-\label{sec:org7204e7c}
-The LIZFCM static library (at \href{https://github.com/Simponic/math-4610}{[https://github.com/Simponic/math-4610} is a successor to my
+\label{sec:org7f9c526}
+The LIZFCM static library (at \url{https://github.com/Simponic/math-4610}) is a successor to my
 attempt at writing codes for the Fundamentals of Computational Mathematics course in Common
 Lisp, but the effort required to meet the requirement of creating a static library became
 too difficult to integrate outside of the \texttt{ASDF} solution that Common Lisp already brings
@@ -42,13 +42,13 @@ All of the work established in \texttt{deprecated-cl} has been painstakingly tra
 the C programming language. I have a couple tenets for its design:
 
 \begin{itemize}
-\item Implemntations of routines should all be done immutably in respect to arguments.
+\item Implementations of routines should all be done immutably in respect to arguments.
 \item Functional programming is good (it's\ldots{} rough in C though).
 \item Routines are separated into "module" c files, and not individual files per function.
 \end{itemize}
 
 \section{Compilation}
-\label{sec:org16cc307}
+\label{sec:org911a41e}
 A provided \texttt{Makefile} is added for convencience. It has been tested on an M1 machine running MacOS as
 well as Arch Linux.
 
@@ -74,11 +74,11 @@ Which is then bundled into a static library in \texttt{lib/lizfcm.a} which can b
 in the standard method.
 
 \section{The LIZFCM API}
-\label{sec:org832532a}
+\label{sec:orgd74cd2d}
 \subsection{Simple Routines}
-\label{sec:org540b602}
+\label{sec:org66bba13}
 \subsubsection{\texttt{smaceps}}
-\label{sec:org4d03b6e}
+\label{sec:orgeae9531}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{smaceps}
@@ -104,7 +104,7 @@ float smaceps() {
 \end{verbatim}
 
 \subsubsection{\texttt{dmaceps}}
-\label{sec:org2603bfc}
+\label{sec:org237c904}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{dmaceps}
@@ -130,9 +130,9 @@ double dmaceps() {
 \end{verbatim}
 
 \subsection{Derivative Routines}
-\label{sec:org95c28e9}
+\label{sec:org9cf9027}
 \subsubsection{\texttt{central\_derivative\_at}}
-\label{sec:org950de62}
+\label{sec:org1fcd333}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{central\_derivative\_at}
@@ -163,7 +163,7 @@ double central_derivative_at(double (*f)(double), double a, double h) {
 \end{verbatim}
 
 \subsubsection{\texttt{forward\_derivative\_at}}
-\label{sec:org832eda6}
+\label{sec:org6a768fc}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{forward\_derivative\_at}
@@ -194,7 +194,7 @@ double forward_derivative_at(double (*f)(double), double a, double h) {
 \end{verbatim}
 
 \subsubsection{\texttt{backward\_derivative\_at}}
-\label{sec:org591836d}
+\label{sec:org610ce76}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{backward\_derivative\_at}
@@ -225,9 +225,9 @@ double backward_derivative_at(double (*f)(double), double a, double h) {
 \end{verbatim}
 
 \subsection{Vector Routines}
-\label{sec:org5254fe4}
+\label{sec:orgfd176e6}
 \subsubsection{Vector Arithmetic: \texttt{add\_v, minus\_v}}
-\label{sec:orgf802d61}
+\label{sec:org2dbc55f}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name(s): \texttt{add\_v}, \texttt{minus\_v}
@@ -258,7 +258,7 @@ Array_double *minus_v(Array_double *v1, Array_double *v2) {
 \end{verbatim}
 
 \subsubsection{Norms: \texttt{l1\_norm}, \texttt{l2\_norm}, \texttt{linf\_norm}}
-\label{sec:orgc56e22d}
+\label{sec:org53a2ffc}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name(s): \texttt{l1\_norm}, \texttt{l2\_norm}, \texttt{linf\_norm}
@@ -292,7 +292,7 @@ double linf_norm(Array_double *v) {
 \end{verbatim}
 
 \subsubsection{\texttt{vector\_distance}}
-\label{sec:orgb54922f}
+\label{sec:org1fb3f8c}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{vector\_distance}
@@ -313,7 +313,7 @@ double vector_distance(Array_double *v1, Array_double *v2,
 \end{verbatim}
 
 \subsubsection{Distances: \texttt{l1\_distance}, \texttt{l2\_distance}, \texttt{linf\_distance}}
-\label{sec:orgf22f8e0}
+\label{sec:org4a25a94}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name(s): \texttt{l1\_distance}, \texttt{l2\_distance}, \texttt{linf\_distance}
@@ -339,7 +339,7 @@ double linf_distance(Array_double *v1, Array_double *v2) {
 \end{verbatim}
 
 \subsubsection{\texttt{sum\_v}}
-\label{sec:org4593341}
+\label{sec:org035a547}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{sum\_v}
@@ -359,7 +359,7 @@ double sum_v(Array_double *v) {
 
 
 \subsubsection{\texttt{scale\_v}}
-\label{sec:org3123f61}
+\label{sec:org12b0853}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{scale\_v}
@@ -378,7 +378,7 @@ Array_double *scale_v(Array_double *v, double m) {
 \end{verbatim}
 
 \subsubsection{\texttt{free\_vector}}
-\label{sec:org983efcf}
+\label{sec:org70ba90c}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{free\_vector}
@@ -396,7 +396,7 @@ void free_vector(Array_double *v) {
 \end{verbatim}
 
 \subsubsection{\texttt{copy\_vector}}
-\label{sec:orgde05d32}
+\label{sec:org57afc74}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{copy\_vector}
@@ -416,7 +416,7 @@ Array_double *copy_vector(Array_double *v) {
 \end{verbatim}
 
 \subsubsection{\texttt{format\_vector\_into}}
-\label{sec:org2e779f3}
+\label{sec:orgc346c3c}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{format\_vector\_into}
@@ -446,9 +446,9 @@ void format_vector_into(Array_double *v, char *s) {
 \end{verbatim}
 
 \subsection{Matrix Routines}
-\label{sec:org2354147}
+\label{sec:org3b053ab}
 \subsubsection{\texttt{lu\_decomp}}
-\label{sec:org3690faa}
+\label{sec:org5553968}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{lu\_decomp}
@@ -509,7 +509,7 @@ Matrix_double **lu_decomp(Matrix_double *m) {
 }
 \end{verbatim}
 \subsubsection{\texttt{bsubst}}
-\label{sec:orgdeba296}
+\label{sec:org253efdc}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{bsubst}
@@ -534,7 +534,7 @@ Array_double *bsubst(Matrix_double *u, Array_double *b) {
 }
 \end{verbatim}
 \subsubsection{\texttt{fsubst}}
-\label{sec:org60d3435}
+\label{sec:orge0c7bc6}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{fsubst}
@@ -562,7 +562,7 @@ Array_double *fsubst(Matrix_double *l, Array_double *b) {
 \end{verbatim}
 
 \subsubsection{\texttt{solve\_matrix}}
-\label{sec:org914121f}
+\label{sec:orgbcd445a}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{src/matrix.c}
@@ -598,7 +598,7 @@ Array_double *solve_matrix(Matrix_double *m, Array_double *b) {
 \end{verbatim}
 
 \subsubsection{\texttt{m\_dot\_v}}
-\label{sec:orgae0f4c9}
+\label{sec:orga9b1f68}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{src/matrix.c}
@@ -620,7 +620,7 @@ Array_double *m_dot_v(Matrix_double *m, Array_double *v) {
 \end{verbatim}
 
 \subsubsection{\texttt{put\_identity\_diagonal}}
-\label{sec:org6d84f6a}
+\label{sec:org33ead5e}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{src/matrix.c}
@@ -639,7 +639,7 @@ Matrix_double *put_identity_diagonal(Matrix_double *m) {
 \end{verbatim}
 
 \subsubsection{\texttt{copy\_matrix}}
-\label{sec:orge750c56}
+\label{sec:org34b3f5b}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{src/matrix.c}
@@ -659,7 +659,7 @@ Matrix_double *copy_matrix(Matrix_double *m) {
 \end{verbatim}
 
 \subsubsection{\texttt{free\_matrix}}
-\label{sec:org4ebcf85}
+\label{sec:org9c91101}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{src/matrix.c}
@@ -678,7 +678,7 @@ void free_matrix(Matrix_double *m) {
 \end{verbatim}
 
 \subsubsection{\texttt{format\_matrix\_into}}
-\label{sec:org308ee0d}
+\label{sec:org51f3e27}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{format\_matrix\_into}
@@ -705,9 +705,9 @@ void format_matrix_into(Matrix_double *m, char *s) {
 }
 \end{verbatim}
 \subsection{Root Finding Methods}
-\label{sec:org8981156}
+\label{sec:org0e83d47}
 \subsubsection{\texttt{find\_ivt\_range}}
-\label{sec:orga5835b0}
+\label{sec:org3e4e34e}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{find\_ivt\_range}
@@ -737,7 +737,7 @@ double *find_ivt_range(double (*f)(double), double start_x, double delta,
 }
 \end{verbatim}
 \subsubsection{\texttt{bisect\_find\_root}}
-\label{sec:orgb118fc7}
+\label{sec:org48f0967}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name(s): \texttt{bisect\_find\_root}
@@ -765,7 +765,7 @@ double bisect_find_root(double (*f)(double), double a, double b,
 }
 \end{verbatim}
 \subsubsection{\texttt{bisect\_find\_root\_with\_error\_assumption}}
-\label{sec:orgf5124e7}
+\label{sec:org15e3c2d}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{bisect\_find\_root\_with\_error\_assumption}
@@ -789,9 +789,9 @@ double bisect_find_root_with_error_assumption(double (*f)(double), double a,
 \end{verbatim}
 
 \subsection{Linear Routines}
-\label{sec:org6f4fce5}
+\label{sec:org98cb54b}
 \subsubsection{\texttt{least\_squares\_lin\_reg}}
-\label{sec:orge810f5f}
+\label{sec:org0c0c5d7}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Name: \texttt{least\_squares\_lin\_reg}
@@ -821,12 +821,12 @@ Line *least_squares_lin_reg(Array_double *x, Array_double *y) {
 }
 \end{verbatim}
 \subsection{Appendix / Miscellaneous}
-\label{sec:org85d2eae}
+\label{sec:orge34af18}
 \subsubsection{Data Types}
-\label{sec:org198ca2d}
+\label{sec:org0f2f877}
 \begin{enumerate}
 \item \texttt{Line}
-\label{sec:org1866885}
+\label{sec:org3f27166}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{inc/types.h}
@@ -839,7 +839,7 @@ typedef struct Line {
 } Line;
 \end{verbatim}
 \item The \texttt{Array\_<type>} and \texttt{Matrix\_<type>}
-\label{sec:org4a1c956}
+\label{sec:org83fc1f3}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{inc/types.h}
@@ -871,10 +871,10 @@ typedef struct {
 \end{enumerate}
 
 \subsubsection{Macros}
-\label{sec:org1976330}
+\label{sec:org2bf9bf0}
 \begin{enumerate}
 \item \texttt{c\_max} and \texttt{c\_min}
-\label{sec:org208b148}
+\label{sec:orgcaa569e}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{inc/macros.h}
@@ -888,7 +888,7 @@ typedef struct {
 \end{verbatim}
 
 \item \texttt{InitArray}
-\label{sec:orgccc4528}
+\label{sec:org5805999}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{inc/macros.h}
@@ -909,7 +909,7 @@ typedef struct {
 \end{verbatim}
 
 \item \texttt{InitArrayWithSize}
-\label{sec:org7e87550}
+\label{sec:org264d6b7}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{inc/macros.h}
@@ -930,7 +930,7 @@ typedef struct {
 \end{verbatim}
 
 \item \texttt{InitMatrixWithSize}
-\label{sec:orge6ec2b1}
+\label{sec:org310d41a}
 \begin{itemize}
 \item Author: Elizabeth Hunt
 \item Location: \texttt{inc/macros.h}