updates to matrix.c

This commit is contained in:
Elizabeth Hunt 2023-10-13 21:09:27 -06:00
parent d21a7de801
commit 1b4d91e623
Signed by: simponic
GPG Key ID: 52B3774857EB24B1
7 changed files with 94 additions and 87 deletions

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.DS_Store vendored

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@ -373,12 +373,14 @@ void format_vector_into(Array_double *v, char *s) {
decomposed
#+BEGIN_SRC c
Matrix_double **lu_decomp(Matrix_double *m) {
Matrix_double **lu_decomp(Matrix_double *m) {
assert(m->cols == m->rows);
Matrix_double *u = copy_matrix(m);
Matrix_double *l = InitMatrixWithSize(double, m->rows, m->cols, 0.0);
put_identity_diagonal(l);
Matrix_double *l_empt = InitMatrixWithSize(double, m->rows, m->cols, 0.0);
Matrix_double *l = put_identity_diagonal(l_empt);
free(l_empt);
Matrix_double **u_l = malloc(sizeof(Matrix_double *) * 2);
@ -415,7 +417,7 @@ Matrix_double **lu_decomp(Matrix_double *m) {
u_l[0] = u;
u_l[1] = l;
return u_l;
}
}
#+END_SRC
*** ~bsubst~
+ Author: Elizabeth Hunt

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@ -1,4 +1,4 @@
% Created 2023-10-13 Fri 20:48
% Created 2023-10-13 Fri 21:07
% Intended LaTeX compiler: pdflatex
\documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
@ -31,22 +31,24 @@
\setlength\parindent{0pt}
\section{Design}
\label{sec:org23cc15b}
The LIZFCM static library 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 to the table.
\label{sec:org400bcfc}
The LIZFCM static library (at \href{https://github.com/Simponic/math-4610}{[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
to the table.
All of the work established in \texttt{deprecated-cl} has been painstakingly translated into
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 Functional programming is good (it's\ldots{} rough in this language though).
\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:orgc704fb9}
\label{sec:org050196a}
A provided \texttt{Makefile} is added for convencience. It has been tested on an M1 machine running MacOS as
well as Arch Linux.
@ -72,11 +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:org01b31c2}
\label{sec:orgc36a923}
\subsection{Simple Routines}
\label{sec:org5355145}
\label{sec:org3a0ee85}
\subsubsection{\texttt{smaceps}}
\label{sec:org4ed063f}
\label{sec:org3d05353}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{smaceps}
@ -102,7 +104,7 @@ float smaceps() {
\end{verbatim}
\subsubsection{\texttt{dmaceps}}
\label{sec:orgcd0dfff}
\label{sec:org2e7b4ce}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{dmaceps}
@ -128,9 +130,9 @@ double dmaceps() {
\end{verbatim}
\subsection{Derivative Routines}
\label{sec:org8f54012}
\label{sec:org2794f8b}
\subsubsection{\texttt{central\_derivative\_at}}
\label{sec:org2c81fc1}
\label{sec:org031253f}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{central\_derivative\_at}
@ -161,7 +163,7 @@ double central_derivative_at(double (*f)(double), double a, double h) {
\end{verbatim}
\subsubsection{\texttt{forward\_derivative\_at}}
\label{sec:org149b09e}
\label{sec:orgd674538}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{forward\_derivative\_at}
@ -192,7 +194,7 @@ double forward_derivative_at(double (*f)(double), double a, double h) {
\end{verbatim}
\subsubsection{\texttt{backward\_derivative\_at}}
\label{sec:orgbaa2238}
\label{sec:orgd6eba18}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{backward\_derivative\_at}
@ -223,9 +225,9 @@ double backward_derivative_at(double (*f)(double), double a, double h) {
\end{verbatim}
\subsection{Vector Routines}
\label{sec:orgf9dd708}
\label{sec:orgc055fd6}
\subsubsection{Vector Arithmetic: \texttt{add\_v, minus\_v}}
\label{sec:orgbb91d9d}
\label{sec:org3adc62d}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name(s): \texttt{add\_v}, \texttt{minus\_v}
@ -256,7 +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:org88bb4c5}
\label{sec:org8064505}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name(s): \texttt{l1\_norm}, \texttt{l2\_norm}, \texttt{linf\_norm}
@ -290,7 +292,7 @@ double linf_norm(Array_double *v) {
\end{verbatim}
\subsubsection{\texttt{vector\_distance}}
\label{sec:org4499de6}
\label{sec:org1c3d377}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{vector\_distance}
@ -311,7 +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:org1e61aea}
\label{sec:orgb3ab95a}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name(s): \texttt{l1\_distance}, \texttt{l2\_distance}, \texttt{linf\_distance}
@ -337,7 +339,7 @@ double linf_distance(Array_double *v1, Array_double *v2) {
\end{verbatim}
\subsubsection{\texttt{sum\_v}}
\label{sec:org57e2591}
\label{sec:org26165af}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{sum\_v}
@ -357,7 +359,7 @@ double sum_v(Array_double *v) {
\subsubsection{\texttt{scale\_v}}
\label{sec:org61b466a}
\label{sec:orga88d1b9}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{scale\_v}
@ -376,7 +378,7 @@ Array_double *scale_v(Array_double *v, double m) {
\end{verbatim}
\subsubsection{\texttt{free\_vector}}
\label{sec:org398d778}
\label{sec:org7caaac9}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{free\_vector}
@ -394,7 +396,7 @@ void free_vector(Array_double *v) {
\end{verbatim}
\subsubsection{\texttt{copy\_vector}}
\label{sec:orgf6b116b}
\label{sec:orgaa8259c}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{copy\_vector}
@ -414,7 +416,7 @@ Array_double *copy_vector(Array_double *v) {
\end{verbatim}
\subsubsection{\texttt{format\_vector\_into}}
\label{sec:org595519d}
\label{sec:org9e52289}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{format\_vector\_into}
@ -444,9 +446,9 @@ void format_vector_into(Array_double *v, char *s) {
\end{verbatim}
\subsection{Matrix Routines}
\label{sec:org53505d6}
\label{sec:orgb3fa0ab}
\subsubsection{\texttt{lu\_decomp}}
\label{sec:org22ad28d}
\label{sec:org796836c}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{lu\_decomp}
@ -464,8 +466,10 @@ Matrix_double **lu_decomp(Matrix_double *m) {
assert(m->cols == m->rows);
Matrix_double *u = copy_matrix(m);
Matrix_double *l = InitMatrixWithSize(double, m->rows, m->cols, 0.0);
put_identity_diagonal(l);
Matrix_double *l_empt = InitMatrixWithSize(double, m->rows, m->cols, 0.0);
Matrix_double *l = put_identity_diagonal(l_empt);
free(l_empt);
Matrix_double **u_l = malloc(sizeof(Matrix_double *) * 2);
@ -505,7 +509,7 @@ Matrix_double **lu_decomp(Matrix_double *m) {
}
\end{verbatim}
\subsubsection{\texttt{bsubst}}
\label{sec:org15fec98}
\label{sec:orgd15005d}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{bsubst}
@ -530,7 +534,7 @@ Array_double *bsubst(Matrix_double *u, Array_double *b) {
}
\end{verbatim}
\subsubsection{\texttt{fsubst}}
\label{sec:orgdeab27c}
\label{sec:org6beb581}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{fsubst}
@ -558,7 +562,7 @@ Array_double *fsubst(Matrix_double *l, Array_double *b) {
\end{verbatim}
\subsubsection{\texttt{solve\_matrix}}
\label{sec:orge57c26b}
\label{sec:org948d51a}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c}
@ -594,7 +598,7 @@ Array_double *solve_matrix(Matrix_double *m, Array_double *b) {
\end{verbatim}
\subsubsection{\texttt{m\_dot\_v}}
\label{sec:org6afa7d5}
\label{sec:org41ef025}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c}
@ -616,7 +620,7 @@ Array_double *m_dot_v(Matrix_double *m, Array_double *v) {
\end{verbatim}
\subsubsection{\texttt{put\_identity\_diagonal}}
\label{sec:orgdd1c373}
\label{sec:org0d72ad5}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c}
@ -635,7 +639,7 @@ Matrix_double *put_identity_diagonal(Matrix_double *m) {
\end{verbatim}
\subsubsection{\texttt{copy\_matrix}}
\label{sec:org3d1b7b0}
\label{sec:org239b3f2}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c}
@ -655,7 +659,7 @@ Matrix_double *copy_matrix(Matrix_double *m) {
\end{verbatim}
\subsubsection{\texttt{free\_matrix}}
\label{sec:org697f6cc}
\label{sec:org411f23a}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{src/matrix.c}
@ -674,7 +678,7 @@ void free_matrix(Matrix_double *m) {
\end{verbatim}
\subsubsection{\texttt{format\_matrix\_into}}
\label{sec:orgc43bda3}
\label{sec:org97f3a1a}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{format\_matrix\_into}
@ -701,9 +705,9 @@ void format_matrix_into(Matrix_double *m, char *s) {
}
\end{verbatim}
\subsection{Linear Routines}
\label{sec:org1e850f2}
\label{sec:org32fc5a8}
\subsubsection{\texttt{least\_squares\_lin\_reg}}
\label{sec:org02e6d37}
\label{sec:orgb604dc0}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Name: \texttt{least\_squares\_lin\_reg}
@ -733,12 +737,12 @@ Line *least_squares_lin_reg(Array_double *x, Array_double *y) {
}
\end{verbatim}
\subsection{Appendix / Miscellaneous}
\label{sec:org83c0f8d}
\label{sec:orgec2d061}
\subsubsection{Data Types}
\label{sec:org22f30f4}
\label{sec:orgaae4ac1}
\begin{enumerate}
\item \texttt{Line}
\label{sec:orgd014841}
\label{sec:org802a412}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{inc/types.h}
@ -751,7 +755,7 @@ typedef struct Line {
} Line;
\end{verbatim}
\item The \texttt{Array\_<type>} and \texttt{Matrix\_<type>}
\label{sec:org3f90e03}
\label{sec:orgba5e93a}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{inc/types.h}
@ -783,10 +787,10 @@ typedef struct {
\end{enumerate}
\subsubsection{Macros}
\label{sec:org60b549e}
\label{sec:org03e6970}
\begin{enumerate}
\item \texttt{c\_max} and \texttt{c\_min}
\label{sec:org04ff2db}
\label{sec:orgee6bc6a}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h}
@ -800,7 +804,7 @@ typedef struct {
\end{verbatim}
\item \texttt{InitArray}
\label{sec:orgf67f153}
\label{sec:org00fb8ca}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h}
@ -821,7 +825,7 @@ typedef struct {
\end{verbatim}
\item \texttt{InitArrayWithSize}
\label{sec:org47e5e66}
\label{sec:org5a66a1d}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h}
@ -842,7 +846,7 @@ typedef struct {
\end{verbatim}
\item \texttt{InitMatrixWithSize}
\label{sec:org3b96b75}
\label{sec:orgca67294}
\begin{itemize}
\item Author: Elizabeth Hunt
\item Location: \texttt{inc/macros.h}

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@ -35,8 +35,9 @@ Matrix_double **lu_decomp(Matrix_double *m) {
assert(m->cols == m->rows);
Matrix_double *u = copy_matrix(m);
Matrix_double *l = InitMatrixWithSize(double, m->rows, m->cols, 0.0);
put_identity_diagonal(l);
Matrix_double *l_empt = InitMatrixWithSize(double, m->rows, m->cols, 0.0);
Matrix_double *l = put_identity_diagonal(l_empt);
free(l_empt);
Matrix_double **u_l = malloc(sizeof(Matrix_double *) * 2);