diff --git a/.git/COMMIT_EDITMSG b/.git/COMMIT_EDITMSG
new file mode 100644
--- /dev/null
+++ b/.git/COMMIT_EDITMSG
@@ -0,0 +1,1 @@
+Add matZipWith Function
diff --git a/.git/HEAD b/.git/HEAD
new file mode 100644
--- /dev/null
+++ b/.git/HEAD
@@ -0,0 +1,1 @@
+ref: refs/heads/main
diff --git a/.git/config b/.git/config
new file mode 100644
--- /dev/null
+++ b/.git/config
@@ -0,0 +1,18 @@
+[core]
+	repositoryformatversion = 0
+	filemode = true
+	bare = false
+	logallrefupdates = true
+[gui]
+	wmstate = normal
+	geometry = 1920x999+0+27 349 443
+[remote "github"]
+	url = git@github.com:noahmartinwilliams/matrix-accelerate.git
+	fetch = +refs/heads/*:refs/remotes/github/*
+	gh-resolved = base
+[branch "main"]
+	remote = github
+	merge = refs/heads/main
+[remote "github-https"]
+	url = https://github.com/noahmartinwilliams/matrix-accelerate.git
+	fetch = +refs/heads/*:refs/remotes/github-https/*
diff --git a/.git/description b/.git/description
new file mode 100644
--- /dev/null
+++ b/.git/description
@@ -0,0 +1,1 @@
+Unnamed repository; edit this file 'description' to name the repository.
diff --git a/.git/hooks/applypatch-msg.sample b/.git/hooks/applypatch-msg.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/applypatch-msg.sample
@@ -0,0 +1,15 @@
+#!/bin/sh
+#
+# An example hook script to check the commit log message taken by
+# applypatch from an e-mail message.
+#
+# The hook should exit with non-zero status after issuing an
+# appropriate message if it wants to stop the commit.  The hook is
+# allowed to edit the commit message file.
+#
+# To enable this hook, rename this file to "applypatch-msg".
+
+. git-sh-setup
+commitmsg="$(git rev-parse --git-path hooks/commit-msg)"
+test -x "$commitmsg" && exec "$commitmsg" ${1+"$@"}
+:
diff --git a/.git/hooks/commit-msg.sample b/.git/hooks/commit-msg.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/commit-msg.sample
@@ -0,0 +1,24 @@
+#!/bin/sh
+#
+# An example hook script to check the commit log message.
+# Called by "git commit" with one argument, the name of the file
+# that has the commit message.  The hook should exit with non-zero
+# status after issuing an appropriate message if it wants to stop the
+# commit.  The hook is allowed to edit the commit message file.
+#
+# To enable this hook, rename this file to "commit-msg".
+
+# Uncomment the below to add a Signed-off-by line to the message.
+# Doing this in a hook is a bad idea in general, but the prepare-commit-msg
+# hook is more suited to it.
+#
+# SOB=$(git var GIT_AUTHOR_IDENT | sed -n 's/^\(.*>\).*$/Signed-off-by: \1/p')
+# grep -qs "^$SOB" "$1" || echo "$SOB" >> "$1"
+
+# This example catches duplicate Signed-off-by lines.
+
+test "" = "$(grep '^Signed-off-by: ' "$1" |
+	 sort | uniq -c | sed -e '/^[ 	]*1[ 	]/d')" || {
+	echo >&2 Duplicate Signed-off-by lines.
+	exit 1
+}
diff --git a/.git/hooks/fsmonitor-watchman.sample b/.git/hooks/fsmonitor-watchman.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/fsmonitor-watchman.sample
@@ -0,0 +1,174 @@
+#!/usr/bin/perl
+
+use strict;
+use warnings;
+use IPC::Open2;
+
+# An example hook script to integrate Watchman
+# (https://facebook.github.io/watchman/) with git to speed up detecting
+# new and modified files.
+#
+# The hook is passed a version (currently 2) and last update token
+# formatted as a string and outputs to stdout a new update token and
+# all files that have been modified since the update token. Paths must
+# be relative to the root of the working tree and separated by a single NUL.
+#
+# To enable this hook, rename this file to "query-watchman" and set
+# 'git config core.fsmonitor .git/hooks/query-watchman'
+#
+my ($version, $last_update_token) = @ARGV;
+
+# Uncomment for debugging
+# print STDERR "$0 $version $last_update_token\n";
+
+# Check the hook interface version
+if ($version ne 2) {
+	die "Unsupported query-fsmonitor hook version '$version'.\n" .
+	    "Falling back to scanning...\n";
+}
+
+my $git_work_tree = get_working_dir();
+
+my $retry = 1;
+
+my $json_pkg;
+eval {
+	require JSON::XS;
+	$json_pkg = "JSON::XS";
+	1;
+} or do {
+	require JSON::PP;
+	$json_pkg = "JSON::PP";
+};
+
+launch_watchman();
+
+sub launch_watchman {
+	my $o = watchman_query();
+	if (is_work_tree_watched($o)) {
+		output_result($o->{clock}, @{$o->{files}});
+	}
+}
+
+sub output_result {
+	my ($clockid, @files) = @_;
+
+	# Uncomment for debugging watchman output
+	# open (my $fh, ">", ".git/watchman-output.out");
+	# binmode $fh, ":utf8";
+	# print $fh "$clockid\n@files\n";
+	# close $fh;
+
+	binmode STDOUT, ":utf8";
+	print $clockid;
+	print "\0";
+	local $, = "\0";
+	print @files;
+}
+
+sub watchman_clock {
+	my $response = qx/watchman clock "$git_work_tree"/;
+	die "Failed to get clock id on '$git_work_tree'.\n" .
+		"Falling back to scanning...\n" if $? != 0;
+
+	return $json_pkg->new->utf8->decode($response);
+}
+
+sub watchman_query {
+	my $pid = open2(\*CHLD_OUT, \*CHLD_IN, 'watchman -j --no-pretty')
+	or die "open2() failed: $!\n" .
+	"Falling back to scanning...\n";
+
+	# In the query expression below we're asking for names of files that
+	# changed since $last_update_token but not from the .git folder.
+	#
+	# To accomplish this, we're using the "since" generator to use the
+	# recency index to select candidate nodes and "fields" to limit the
+	# output to file names only. Then we're using the "expression" term to
+	# further constrain the results.
+	my $last_update_line = "";
+	if (substr($last_update_token, 0, 1) eq "c") {
+		$last_update_token = "\"$last_update_token\"";
+		$last_update_line = qq[\n"since": $last_update_token,];
+	}
+	my $query = <<"	END";
+		["query", "$git_work_tree", {$last_update_line
+			"fields": ["name"],
+			"expression": ["not", ["dirname", ".git"]]
+		}]
+	END
+
+	# Uncomment for debugging the watchman query
+	# open (my $fh, ">", ".git/watchman-query.json");
+	# print $fh $query;
+	# close $fh;
+
+	print CHLD_IN $query;
+	close CHLD_IN;
+	my $response = do {local $/; <CHLD_OUT>};
+
+	# Uncomment for debugging the watch response
+	# open ($fh, ">", ".git/watchman-response.json");
+	# print $fh $response;
+	# close $fh;
+
+	die "Watchman: command returned no output.\n" .
+	"Falling back to scanning...\n" if $response eq "";
+	die "Watchman: command returned invalid output: $response\n" .
+	"Falling back to scanning...\n" unless $response =~ /^\{/;
+
+	return $json_pkg->new->utf8->decode($response);
+}
+
+sub is_work_tree_watched {
+	my ($output) = @_;
+	my $error = $output->{error};
+	if ($retry > 0 and $error and $error =~ m/unable to resolve root .* directory (.*) is not watched/) {
+		$retry--;
+		my $response = qx/watchman watch "$git_work_tree"/;
+		die "Failed to make watchman watch '$git_work_tree'.\n" .
+		    "Falling back to scanning...\n" if $? != 0;
+		$output = $json_pkg->new->utf8->decode($response);
+		$error = $output->{error};
+		die "Watchman: $error.\n" .
+		"Falling back to scanning...\n" if $error;
+
+		# Uncomment for debugging watchman output
+		# open (my $fh, ">", ".git/watchman-output.out");
+		# close $fh;
+
+		# Watchman will always return all files on the first query so
+		# return the fast "everything is dirty" flag to git and do the
+		# Watchman query just to get it over with now so we won't pay
+		# the cost in git to look up each individual file.
+		my $o = watchman_clock();
+		$error = $output->{error};
+
+		die "Watchman: $error.\n" .
+		"Falling back to scanning...\n" if $error;
+
+		output_result($o->{clock}, ("/"));
+		$last_update_token = $o->{clock};
+
+		eval { launch_watchman() };
+		return 0;
+	}
+
+	die "Watchman: $error.\n" .
+	"Falling back to scanning...\n" if $error;
+
+	return 1;
+}
+
+sub get_working_dir {
+	my $working_dir;
+	if ($^O =~ 'msys' || $^O =~ 'cygwin') {
+		$working_dir = Win32::GetCwd();
+		$working_dir =~ tr/\\/\//;
+	} else {
+		require Cwd;
+		$working_dir = Cwd::cwd();
+	}
+
+	return $working_dir;
+}
diff --git a/.git/hooks/post-update.sample b/.git/hooks/post-update.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/post-update.sample
@@ -0,0 +1,8 @@
+#!/bin/sh
+#
+# An example hook script to prepare a packed repository for use over
+# dumb transports.
+#
+# To enable this hook, rename this file to "post-update".
+
+exec git update-server-info
diff --git a/.git/hooks/pre-applypatch.sample b/.git/hooks/pre-applypatch.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/pre-applypatch.sample
@@ -0,0 +1,14 @@
+#!/bin/sh
+#
+# An example hook script to verify what is about to be committed
+# by applypatch from an e-mail message.
+#
+# The hook should exit with non-zero status after issuing an
+# appropriate message if it wants to stop the commit.
+#
+# To enable this hook, rename this file to "pre-applypatch".
+
+. git-sh-setup
+precommit="$(git rev-parse --git-path hooks/pre-commit)"
+test -x "$precommit" && exec "$precommit" ${1+"$@"}
+:
diff --git a/.git/hooks/pre-commit.sample b/.git/hooks/pre-commit.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/pre-commit.sample
@@ -0,0 +1,49 @@
+#!/bin/sh
+#
+# An example hook script to verify what is about to be committed.
+# Called by "git commit" with no arguments.  The hook should
+# exit with non-zero status after issuing an appropriate message if
+# it wants to stop the commit.
+#
+# To enable this hook, rename this file to "pre-commit".
+
+if git rev-parse --verify HEAD >/dev/null 2>&1
+then
+	against=HEAD
+else
+	# Initial commit: diff against an empty tree object
+	against=$(git hash-object -t tree /dev/null)
+fi
+
+# If you want to allow non-ASCII filenames set this variable to true.
+allownonascii=$(git config --type=bool hooks.allownonascii)
+
+# Redirect output to stderr.
+exec 1>&2
+
+# Cross platform projects tend to avoid non-ASCII filenames; prevent
+# them from being added to the repository. We exploit the fact that the
+# printable range starts at the space character and ends with tilde.
+if [ "$allownonascii" != "true" ] &&
+	# Note that the use of brackets around a tr range is ok here, (it's
+	# even required, for portability to Solaris 10's /usr/bin/tr), since
+	# the square bracket bytes happen to fall in the designated range.
+	test $(git diff-index --cached --name-only --diff-filter=A -z $against |
+	  LC_ALL=C tr -d '[ -~]\0' | wc -c) != 0
+then
+	cat <<\EOF
+Error: Attempt to add a non-ASCII file name.
+
+This can cause problems if you want to work with people on other platforms.
+
+To be portable it is advisable to rename the file.
+
+If you know what you are doing you can disable this check using:
+
+  git config hooks.allownonascii true
+EOF
+	exit 1
+fi
+
+# If there are whitespace errors, print the offending file names and fail.
+exec git diff-index --check --cached $against --
diff --git a/.git/hooks/pre-merge-commit.sample b/.git/hooks/pre-merge-commit.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/pre-merge-commit.sample
@@ -0,0 +1,13 @@
+#!/bin/sh
+#
+# An example hook script to verify what is about to be committed.
+# Called by "git merge" with no arguments.  The hook should
+# exit with non-zero status after issuing an appropriate message to
+# stderr if it wants to stop the merge commit.
+#
+# To enable this hook, rename this file to "pre-merge-commit".
+
+. git-sh-setup
+test -x "$GIT_DIR/hooks/pre-commit" &&
+        exec "$GIT_DIR/hooks/pre-commit"
+:
diff --git a/.git/hooks/pre-push.sample b/.git/hooks/pre-push.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/pre-push.sample
@@ -0,0 +1,53 @@
+#!/bin/sh
+
+# An example hook script to verify what is about to be pushed.  Called by "git
+# push" after it has checked the remote status, but before anything has been
+# pushed.  If this script exits with a non-zero status nothing will be pushed.
+#
+# This hook is called with the following parameters:
+#
+# $1 -- Name of the remote to which the push is being done
+# $2 -- URL to which the push is being done
+#
+# If pushing without using a named remote those arguments will be equal.
+#
+# Information about the commits which are being pushed is supplied as lines to
+# the standard input in the form:
+#
+#   <local ref> <local oid> <remote ref> <remote oid>
+#
+# This sample shows how to prevent push of commits where the log message starts
+# with "WIP" (work in progress).
+
+remote="$1"
+url="$2"
+
+zero=$(git hash-object --stdin </dev/null | tr '[0-9a-f]' '0')
+
+while read local_ref local_oid remote_ref remote_oid
+do
+	if test "$local_oid" = "$zero"
+	then
+		# Handle delete
+		:
+	else
+		if test "$remote_oid" = "$zero"
+		then
+			# New branch, examine all commits
+			range="$local_oid"
+		else
+			# Update to existing branch, examine new commits
+			range="$remote_oid..$local_oid"
+		fi
+
+		# Check for WIP commit
+		commit=$(git rev-list -n 1 --grep '^WIP' "$range")
+		if test -n "$commit"
+		then
+			echo >&2 "Found WIP commit in $local_ref, not pushing"
+			exit 1
+		fi
+	fi
+done
+
+exit 0
diff --git a/.git/hooks/pre-rebase.sample b/.git/hooks/pre-rebase.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/pre-rebase.sample
@@ -0,0 +1,169 @@
+#!/bin/sh
+#
+# Copyright (c) 2006, 2008 Junio C Hamano
+#
+# The "pre-rebase" hook is run just before "git rebase" starts doing
+# its job, and can prevent the command from running by exiting with
+# non-zero status.
+#
+# The hook is called with the following parameters:
+#
+# $1 -- the upstream the series was forked from.
+# $2 -- the branch being rebased (or empty when rebasing the current branch).
+#
+# This sample shows how to prevent topic branches that are already
+# merged to 'next' branch from getting rebased, because allowing it
+# would result in rebasing already published history.
+
+publish=next
+basebranch="$1"
+if test "$#" = 2
+then
+	topic="refs/heads/$2"
+else
+	topic=`git symbolic-ref HEAD` ||
+	exit 0 ;# we do not interrupt rebasing detached HEAD
+fi
+
+case "$topic" in
+refs/heads/??/*)
+	;;
+*)
+	exit 0 ;# we do not interrupt others.
+	;;
+esac
+
+# Now we are dealing with a topic branch being rebased
+# on top of master.  Is it OK to rebase it?
+
+# Does the topic really exist?
+git show-ref -q "$topic" || {
+	echo >&2 "No such branch $topic"
+	exit 1
+}
+
+# Is topic fully merged to master?
+not_in_master=`git rev-list --pretty=oneline ^master "$topic"`
+if test -z "$not_in_master"
+then
+	echo >&2 "$topic is fully merged to master; better remove it."
+	exit 1 ;# we could allow it, but there is no point.
+fi
+
+# Is topic ever merged to next?  If so you should not be rebasing it.
+only_next_1=`git rev-list ^master "^$topic" ${publish} | sort`
+only_next_2=`git rev-list ^master           ${publish} | sort`
+if test "$only_next_1" = "$only_next_2"
+then
+	not_in_topic=`git rev-list "^$topic" master`
+	if test -z "$not_in_topic"
+	then
+		echo >&2 "$topic is already up to date with master"
+		exit 1 ;# we could allow it, but there is no point.
+	else
+		exit 0
+	fi
+else
+	not_in_next=`git rev-list --pretty=oneline ^${publish} "$topic"`
+	/usr/bin/perl -e '
+		my $topic = $ARGV[0];
+		my $msg = "* $topic has commits already merged to public branch:\n";
+		my (%not_in_next) = map {
+			/^([0-9a-f]+) /;
+			($1 => 1);
+		} split(/\n/, $ARGV[1]);
+		for my $elem (map {
+				/^([0-9a-f]+) (.*)$/;
+				[$1 => $2];
+			} split(/\n/, $ARGV[2])) {
+			if (!exists $not_in_next{$elem->[0]}) {
+				if ($msg) {
+					print STDERR $msg;
+					undef $msg;
+				}
+				print STDERR " $elem->[1]\n";
+			}
+		}
+	' "$topic" "$not_in_next" "$not_in_master"
+	exit 1
+fi
+
+<<\DOC_END
+
+This sample hook safeguards topic branches that have been
+published from being rewound.
+
+The workflow assumed here is:
+
+ * Once a topic branch forks from "master", "master" is never
+   merged into it again (either directly or indirectly).
+
+ * Once a topic branch is fully cooked and merged into "master",
+   it is deleted.  If you need to build on top of it to correct
+   earlier mistakes, a new topic branch is created by forking at
+   the tip of the "master".  This is not strictly necessary, but
+   it makes it easier to keep your history simple.
+
+ * Whenever you need to test or publish your changes to topic
+   branches, merge them into "next" branch.
+
+The script, being an example, hardcodes the publish branch name
+to be "next", but it is trivial to make it configurable via
+$GIT_DIR/config mechanism.
+
+With this workflow, you would want to know:
+
+(1) ... if a topic branch has ever been merged to "next".  Young
+    topic branches can have stupid mistakes you would rather
+    clean up before publishing, and things that have not been
+    merged into other branches can be easily rebased without
+    affecting other people.  But once it is published, you would
+    not want to rewind it.
+
+(2) ... if a topic branch has been fully merged to "master".
+    Then you can delete it.  More importantly, you should not
+    build on top of it -- other people may already want to
+    change things related to the topic as patches against your
+    "master", so if you need further changes, it is better to
+    fork the topic (perhaps with the same name) afresh from the
+    tip of "master".
+
+Let's look at this example:
+
+		   o---o---o---o---o---o---o---o---o---o "next"
+		  /       /           /           /
+		 /   a---a---b A     /           /
+		/   /               /           /
+	       /   /   c---c---c---c B         /
+	      /   /   /             \         /
+	     /   /   /   b---b C     \       /
+	    /   /   /   /             \     /
+    ---o---o---o---o---o---o---o---o---o---o---o "master"
+
+
+A, B and C are topic branches.
+
+ * A has one fix since it was merged up to "next".
+
+ * B has finished.  It has been fully merged up to "master" and "next",
+   and is ready to be deleted.
+
+ * C has not merged to "next" at all.
+
+We would want to allow C to be rebased, refuse A, and encourage
+B to be deleted.
+
+To compute (1):
+
+	git rev-list ^master ^topic next
+	git rev-list ^master        next
+
+	if these match, topic has not merged in next at all.
+
+To compute (2):
+
+	git rev-list master..topic
+
+	if this is empty, it is fully merged to "master".
+
+DOC_END
diff --git a/.git/hooks/pre-receive.sample b/.git/hooks/pre-receive.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/pre-receive.sample
@@ -0,0 +1,24 @@
+#!/bin/sh
+#
+# An example hook script to make use of push options.
+# The example simply echoes all push options that start with 'echoback='
+# and rejects all pushes when the "reject" push option is used.
+#
+# To enable this hook, rename this file to "pre-receive".
+
+if test -n "$GIT_PUSH_OPTION_COUNT"
+then
+	i=0
+	while test "$i" -lt "$GIT_PUSH_OPTION_COUNT"
+	do
+		eval "value=\$GIT_PUSH_OPTION_$i"
+		case "$value" in
+		echoback=*)
+			echo "echo from the pre-receive-hook: ${value#*=}" >&2
+			;;
+		reject)
+			exit 1
+		esac
+		i=$((i + 1))
+	done
+fi
diff --git a/.git/hooks/prepare-commit-msg.sample b/.git/hooks/prepare-commit-msg.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/prepare-commit-msg.sample
@@ -0,0 +1,42 @@
+#!/bin/sh
+#
+# An example hook script to prepare the commit log message.
+# Called by "git commit" with the name of the file that has the
+# commit message, followed by the description of the commit
+# message's source.  The hook's purpose is to edit the commit
+# message file.  If the hook fails with a non-zero status,
+# the commit is aborted.
+#
+# To enable this hook, rename this file to "prepare-commit-msg".
+
+# This hook includes three examples. The first one removes the
+# "# Please enter the commit message..." help message.
+#
+# The second includes the output of "git diff --name-status -r"
+# into the message, just before the "git status" output.  It is
+# commented because it doesn't cope with --amend or with squashed
+# commits.
+#
+# The third example adds a Signed-off-by line to the message, that can
+# still be edited.  This is rarely a good idea.
+
+COMMIT_MSG_FILE=$1
+COMMIT_SOURCE=$2
+SHA1=$3
+
+/usr/bin/perl -i.bak -ne 'print unless(m/^. Please enter the commit message/..m/^#$/)' "$COMMIT_MSG_FILE"
+
+# case "$COMMIT_SOURCE,$SHA1" in
+#  ,|template,)
+#    /usr/bin/perl -i.bak -pe '
+#       print "\n" . `git diff --cached --name-status -r`
+# 	 if /^#/ && $first++ == 0' "$COMMIT_MSG_FILE" ;;
+#  *) ;;
+# esac
+
+# SOB=$(git var GIT_COMMITTER_IDENT | sed -n 's/^\(.*>\).*$/Signed-off-by: \1/p')
+# git interpret-trailers --in-place --trailer "$SOB" "$COMMIT_MSG_FILE"
+# if test -z "$COMMIT_SOURCE"
+# then
+#   /usr/bin/perl -i.bak -pe 'print "\n" if !$first_line++' "$COMMIT_MSG_FILE"
+# fi
diff --git a/.git/hooks/push-to-checkout.sample b/.git/hooks/push-to-checkout.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/push-to-checkout.sample
@@ -0,0 +1,78 @@
+#!/bin/sh
+
+# An example hook script to update a checked-out tree on a git push.
+#
+# This hook is invoked by git-receive-pack(1) when it reacts to git
+# push and updates reference(s) in its repository, and when the push
+# tries to update the branch that is currently checked out and the
+# receive.denyCurrentBranch configuration variable is set to
+# updateInstead.
+#
+# By default, such a push is refused if the working tree and the index
+# of the remote repository has any difference from the currently
+# checked out commit; when both the working tree and the index match
+# the current commit, they are updated to match the newly pushed tip
+# of the branch. This hook is to be used to override the default
+# behaviour; however the code below reimplements the default behaviour
+# as a starting point for convenient modification.
+#
+# The hook receives the commit with which the tip of the current
+# branch is going to be updated:
+commit=$1
+
+# It can exit with a non-zero status to refuse the push (when it does
+# so, it must not modify the index or the working tree).
+die () {
+	echo >&2 "$*"
+	exit 1
+}
+
+# Or it can make any necessary changes to the working tree and to the
+# index to bring them to the desired state when the tip of the current
+# branch is updated to the new commit, and exit with a zero status.
+#
+# For example, the hook can simply run git read-tree -u -m HEAD "$1"
+# in order to emulate git fetch that is run in the reverse direction
+# with git push, as the two-tree form of git read-tree -u -m is
+# essentially the same as git switch or git checkout that switches
+# branches while keeping the local changes in the working tree that do
+# not interfere with the difference between the branches.
+
+# The below is a more-or-less exact translation to shell of the C code
+# for the default behaviour for git's push-to-checkout hook defined in
+# the push_to_deploy() function in builtin/receive-pack.c.
+#
+# Note that the hook will be executed from the repository directory,
+# not from the working tree, so if you want to perform operations on
+# the working tree, you will have to adapt your code accordingly, e.g.
+# by adding "cd .." or using relative paths.
+
+if ! git update-index -q --ignore-submodules --refresh
+then
+	die "Up-to-date check failed"
+fi
+
+if ! git diff-files --quiet --ignore-submodules --
+then
+	die "Working directory has unstaged changes"
+fi
+
+# This is a rough translation of:
+#
+#   head_has_history() ? "HEAD" : EMPTY_TREE_SHA1_HEX
+if git cat-file -e HEAD 2>/dev/null
+then
+	head=HEAD
+else
+	head=$(git hash-object -t tree --stdin </dev/null)
+fi
+
+if ! git diff-index --quiet --cached --ignore-submodules $head --
+then
+	die "Working directory has staged changes"
+fi
+
+if ! git read-tree -u -m "$commit"
+then
+	die "Could not update working tree to new HEAD"
+fi
diff --git a/.git/hooks/sendemail-validate.sample b/.git/hooks/sendemail-validate.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/sendemail-validate.sample
@@ -0,0 +1,77 @@
+#!/bin/sh
+
+# An example hook script to validate a patch (and/or patch series) before
+# sending it via email.
+#
+# The hook should exit with non-zero status after issuing an appropriate
+# message if it wants to prevent the email(s) from being sent.
+#
+# To enable this hook, rename this file to "sendemail-validate".
+#
+# By default, it will only check that the patch(es) can be applied on top of
+# the default upstream branch without conflicts in a secondary worktree. After
+# validation (successful or not) of the last patch of a series, the worktree
+# will be deleted.
+#
+# The following config variables can be set to change the default remote and
+# remote ref that are used to apply the patches against:
+#
+#   sendemail.validateRemote (default: origin)
+#   sendemail.validateRemoteRef (default: HEAD)
+#
+# Replace the TODO placeholders with appropriate checks according to your
+# needs.
+
+validate_cover_letter () {
+	file="$1"
+	# TODO: Replace with appropriate checks (e.g. spell checking).
+	true
+}
+
+validate_patch () {
+	file="$1"
+	# Ensure that the patch applies without conflicts.
+	git am -3 "$file" || return
+	# TODO: Replace with appropriate checks for this patch
+	# (e.g. checkpatch.pl).
+	true
+}
+
+validate_series () {
+	# TODO: Replace with appropriate checks for the whole series
+	# (e.g. quick build, coding style checks, etc.).
+	true
+}
+
+# main -------------------------------------------------------------------------
+
+if test "$GIT_SENDEMAIL_FILE_COUNTER" = 1
+then
+	remote=$(git config --default origin --get sendemail.validateRemote) &&
+	ref=$(git config --default HEAD --get sendemail.validateRemoteRef) &&
+	worktree=$(mktemp --tmpdir -d sendemail-validate.XXXXXXX) &&
+	git worktree add -fd --checkout "$worktree" "refs/remotes/$remote/$ref" &&
+	git config --replace-all sendemail.validateWorktree "$worktree"
+else
+	worktree=$(git config --get sendemail.validateWorktree)
+fi || {
+	echo "sendemail-validate: error: failed to prepare worktree" >&2
+	exit 1
+}
+
+unset GIT_DIR GIT_WORK_TREE
+cd "$worktree" &&
+
+if grep -q "^diff --git " "$1"
+then
+	validate_patch "$1"
+else
+	validate_cover_letter "$1"
+fi &&
+
+if test "$GIT_SENDEMAIL_FILE_COUNTER" = "$GIT_SENDEMAIL_FILE_TOTAL"
+then
+	git config --unset-all sendemail.validateWorktree &&
+	trap 'git worktree remove -ff "$worktree"' EXIT &&
+	validate_series
+fi
diff --git a/.git/hooks/update.sample b/.git/hooks/update.sample
new file mode 100644
--- /dev/null
+++ b/.git/hooks/update.sample
@@ -0,0 +1,128 @@
+#!/bin/sh
+#
+# An example hook script to block unannotated tags from entering.
+# Called by "git receive-pack" with arguments: refname sha1-old sha1-new
+#
+# To enable this hook, rename this file to "update".
+#
+# Config
+# ------
+# hooks.allowunannotated
+#   This boolean sets whether unannotated tags will be allowed into the
+#   repository.  By default they won't be.
+# hooks.allowdeletetag
+#   This boolean sets whether deleting tags will be allowed in the
+#   repository.  By default they won't be.
+# hooks.allowmodifytag
+#   This boolean sets whether a tag may be modified after creation. By default
+#   it won't be.
+# hooks.allowdeletebranch
+#   This boolean sets whether deleting branches will be allowed in the
+#   repository.  By default they won't be.
+# hooks.denycreatebranch
+#   This boolean sets whether remotely creating branches will be denied
+#   in the repository.  By default this is allowed.
+#
+
+# --- Command line
+refname="$1"
+oldrev="$2"
+newrev="$3"
+
+# --- Safety check
+if [ -z "$GIT_DIR" ]; then
+	echo "Don't run this script from the command line." >&2
+	echo " (if you want, you could supply GIT_DIR then run" >&2
+	echo "  $0 <ref> <oldrev> <newrev>)" >&2
+	exit 1
+fi
+
+if [ -z "$refname" -o -z "$oldrev" -o -z "$newrev" ]; then
+	echo "usage: $0 <ref> <oldrev> <newrev>" >&2
+	exit 1
+fi
+
+# --- Config
+allowunannotated=$(git config --type=bool hooks.allowunannotated)
+allowdeletebranch=$(git config --type=bool hooks.allowdeletebranch)
+denycreatebranch=$(git config --type=bool hooks.denycreatebranch)
+allowdeletetag=$(git config --type=bool hooks.allowdeletetag)
+allowmodifytag=$(git config --type=bool hooks.allowmodifytag)
+
+# check for no description
+projectdesc=$(sed -e '1q' "$GIT_DIR/description")
+case "$projectdesc" in
+"Unnamed repository"* | "")
+	echo "*** Project description file hasn't been set" >&2
+	exit 1
+	;;
+esac
+
+# --- Check types
+# if $newrev is 0000...0000, it's a commit to delete a ref.
+zero=$(git hash-object --stdin </dev/null | tr '[0-9a-f]' '0')
+if [ "$newrev" = "$zero" ]; then
+	newrev_type=delete
+else
+	newrev_type=$(git cat-file -t $newrev)
+fi
+
+case "$refname","$newrev_type" in
+	refs/tags/*,commit)
+		# un-annotated tag
+		short_refname=${refname##refs/tags/}
+		if [ "$allowunannotated" != "true" ]; then
+			echo "*** The un-annotated tag, $short_refname, is not allowed in this repository" >&2
+			echo "*** Use 'git tag [ -a | -s ]' for tags you want to propagate." >&2
+			exit 1
+		fi
+		;;
+	refs/tags/*,delete)
+		# delete tag
+		if [ "$allowdeletetag" != "true" ]; then
+			echo "*** Deleting a tag is not allowed in this repository" >&2
+			exit 1
+		fi
+		;;
+	refs/tags/*,tag)
+		# annotated tag
+		if [ "$allowmodifytag" != "true" ] && git rev-parse $refname > /dev/null 2>&1
+		then
+			echo "*** Tag '$refname' already exists." >&2
+			echo "*** Modifying a tag is not allowed in this repository." >&2
+			exit 1
+		fi
+		;;
+	refs/heads/*,commit)
+		# branch
+		if [ "$oldrev" = "$zero" -a "$denycreatebranch" = "true" ]; then
+			echo "*** Creating a branch is not allowed in this repository" >&2
+			exit 1
+		fi
+		;;
+	refs/heads/*,delete)
+		# delete branch
+		if [ "$allowdeletebranch" != "true" ]; then
+			echo "*** Deleting a branch is not allowed in this repository" >&2
+			exit 1
+		fi
+		;;
+	refs/remotes/*,commit)
+		# tracking branch
+		;;
+	refs/remotes/*,delete)
+		# delete tracking branch
+		if [ "$allowdeletebranch" != "true" ]; then
+			echo "*** Deleting a tracking branch is not allowed in this repository" >&2
+			exit 1
+		fi
+		;;
+	*)
+		# Anything else (is there anything else?)
+		echo "*** Update hook: unknown type of update to ref $refname of type $newrev_type" >&2
+		exit 1
+		;;
+esac
+
+# --- Finished
+exit 0
diff --git a/.git/index b/.git/index
new file mode 100644
Binary files /dev/null and b/.git/index differ
diff --git a/.git/info/exclude b/.git/info/exclude
new file mode 100644
--- /dev/null
+++ b/.git/info/exclude
@@ -0,0 +1,6 @@
+# git ls-files --others --exclude-from=.git/info/exclude
+# Lines that start with '#' are comments.
+# For a project mostly in C, the following would be a good set of
+# exclude patterns (uncomment them if you want to use them):
+# *.[oa]
+# *~
diff --git a/.git/logs/HEAD b/.git/logs/HEAD
new file mode 100644
--- /dev/null
+++ b/.git/logs/HEAD
@@ -0,0 +1,26 @@
+0000000000000000000000000000000000000000 798f9cb58c71e49c891d2492036ee1660ad7fc67 Noah Williams <noahmartinwilliams@gmail.com> 1710879865 -0500	commit (initial): Start Repository
+798f9cb58c71e49c891d2492036ee1660ad7fc67 1aed7da171f6f077c2b6e8cd53c19c75de8b6a27 Noah Williams <noahmartinwilliams@gmail.com> 1711137364 -0500	commit: Add license information and basic README.md file
+1aed7da171f6f077c2b6e8cd53c19c75de8b6a27 9b8e6e19ae17ff7b176db0a8803eaf2262cfdd76 Noah Williams <noahmartinwilliams@gmail.com> 1712512924 -0500	commit: Remove rep0 export
+9b8e6e19ae17ff7b176db0a8803eaf2262cfdd76 f3f6b87d160f1194badc8c0dc556340c59cf569d Noah Williams <noahmartinwilliams@gmail.com> 1715967993 -0500	commit: Add convenient dependent types
+f3f6b87d160f1194badc8c0dc556340c59cf569d 22448e553b5f6a69f4ee99e75060dd8243a7caa5 Noah Williams <noahmartinwilliams@gmail.com> 1716172422 -0500	commit: Fix compilation error
+22448e553b5f6a69f4ee99e75060dd8243a7caa5 1581f2e0d66bc73b91ebe16698fcdb14427d5b2a Noah Williams <noahmartinwilliams@gmail.com> 1716229884 -0500	commit: Add addition operation for plain matrices and dependently typed ones
+1581f2e0d66bc73b91ebe16698fcdb14427d5b2a 14faaf565e7d53314a39be55dc2624c44ab3dd18 Noah Williams <noahmartinwilliams@gmail.com> 1716230006 -0500	commit: Add subtraction operator
+14faaf565e7d53314a39be55dc2624c44ab3dd18 9403caff420aee59c3499a070ff26c48ac392ed9 Noah Williams <noahmartinwilliams@gmail.com> 1716230955 -0500	commit: Updata README to mention dependent types
+9403caff420aee59c3499a070ff26c48ac392ed9 660a56225f67d1dc97b858f2475eaeab444dfbbe Noah Williams <noahmartinwilliams@gmail.com> 1716324463 -0500	commit: Add useMat function to translate plain matrices into accelerated ones
+660a56225f67d1dc97b858f2475eaeab444dfbbe 203d0a5402c876124bb5c937203f2363a24f4ad5 Noah Williams <noahmartinwilliams@gmail.com> 1716748828 -0500	commit: Prepare for hackage
+203d0a5402c876124bb5c937203f2363a24f4ad5 c0b7a8179fc1d96b98204aa7fa3712b1783780fc Noah Williams <noahmartinwilliams@gmail.com> 1716838880 -0500	commit: Add version bounds to package.yaml
+c0b7a8179fc1d96b98204aa7fa3712b1783780fc ed14dfef638cf03f175cfd24c899d3607ab16653 Noah Williams <noahmartinwilliams@gmail.com> 1716839278 -0500	commit: Add synopsis and category field
+ed14dfef638cf03f175cfd24c899d3607ab16653 c8e1a9a19c91373b5cac4b72517230d3d952d1db Noah Williams <noahmartinwilliams@gmail.com> 1716839382 -0500	commit: Add exposed modules field to package.yaml
+c8e1a9a19c91373b5cac4b72517230d3d952d1db e9267aa05a122cf86d1cd7b002171eab781a7913 Noah Williams <noahmartinwilliams@gmail.com> 1716840674 -0500	commit: Add description field to package.yaml
+e9267aa05a122cf86d1cd7b002171eab781a7913 5665b7c96d2a75ca567d4cb3e160ff8b93134b24 Noah Williams <noahmartinwilliams@gmail.com> 1716916953 -0500	commit: Add Data.Array.Accelerate.Matrix to exposed modules in cabal file
+5665b7c96d2a75ca567d4cb3e160ff8b93134b24 d9a5b5b2d3bb7928113f4a104ad90b0732625b93 Noah Williams <noahmartinwilliams@gmail.com> 1716917473 -0500	commit: Add module documentation
+d9a5b5b2d3bb7928113f4a104ad90b0732625b93 93af8f63f682ee549ac1c718420fea1858969469 Noah Williams <noahmartinwilliams@gmail.com> 1717084758 -0500	commit: Add matScale function for multiplying dependently typed matrices by scalars
+93af8f63f682ee549ac1c718420fea1858969469 34cf03264982c950f99a3a62299b244704d70d34 Noah Williams <noahmartinwilliams@gmail.com> 1730400835 -0500	commit: Fix Typos In Cabal File And Stack File
+34cf03264982c950f99a3a62299b244704d70d34 247a11f2e97624be1dd31b5248656b224aa16a01 Noah Williams <noahmartinwilliams@gmail.com> 1774381309 -0400	commit: Bump Version Of lens-accelerate
+247a11f2e97624be1dd31b5248656b224aa16a01 ba163f354f0b983ec8d5fce32a2833214f74ac85 Noah Williams <noahmartinwilliams@gmail.com> 1774456680 -0400	commit: Add Take And Drop Functions
+ba163f354f0b983ec8d5fce32a2833214f74ac85 5a391b0d9f89ff0d9067cab65dad7a9826c2c578 Noah Williams <noahmartinwilliams@gmail.com> 1774457103 -0400	commit: Add Append Operator
+5a391b0d9f89ff0d9067cab65dad7a9826c2c578 683e11d81c1b3762de227fc2d7a38c15aeb74f41 Noah Williams <noahmartinwilliams@gmail.com> 1774457353 -0400	commit: Add matTake, matDrop, and matAppend to export list.
+683e11d81c1b3762de227fc2d7a38c15aeb74f41 6c43fbf3419bb3c1f3dd7b9b57982bd22dfc8532 Noah Williams <noahmartinwilliams@gmail.com> 1774539607 -0400	commit: Add matZipMul Function
+6c43fbf3419bb3c1f3dd7b9b57982bd22dfc8532 842f450ae5dde3a3447ce23d19d10326ec37dcad Noah Williams <noahmartinwilliams@gmail.com> 1775147783 -0400	commit: Add Mapping Function And Element-Wise Division
+842f450ae5dde3a3447ce23d19d10326ec37dcad 79b1550593112c098619cafdce23c0eb2efbc0fa Noah Williams <noahmartinwilliams@gmail.com> 1790874352 -0400	commit: Add matSize Function
+79b1550593112c098619cafdce23c0eb2efbc0fa f92c250ebce8214903d48ca98864cc194c972dfd Noah Williams <noahmartinwilliams@gmail.com> 1793225741 -0400	commit: Add matZipWith Function
diff --git a/.git/logs/refs/heads/main b/.git/logs/refs/heads/main
new file mode 100644
--- /dev/null
+++ b/.git/logs/refs/heads/main
@@ -0,0 +1,26 @@
+0000000000000000000000000000000000000000 798f9cb58c71e49c891d2492036ee1660ad7fc67 Noah Williams <noahmartinwilliams@gmail.com> 1710879865 -0500	commit (initial): Start Repository
+798f9cb58c71e49c891d2492036ee1660ad7fc67 1aed7da171f6f077c2b6e8cd53c19c75de8b6a27 Noah Williams <noahmartinwilliams@gmail.com> 1711137364 -0500	commit: Add license information and basic README.md file
+1aed7da171f6f077c2b6e8cd53c19c75de8b6a27 9b8e6e19ae17ff7b176db0a8803eaf2262cfdd76 Noah Williams <noahmartinwilliams@gmail.com> 1712512924 -0500	commit: Remove rep0 export
+9b8e6e19ae17ff7b176db0a8803eaf2262cfdd76 f3f6b87d160f1194badc8c0dc556340c59cf569d Noah Williams <noahmartinwilliams@gmail.com> 1715967993 -0500	commit: Add convenient dependent types
+f3f6b87d160f1194badc8c0dc556340c59cf569d 22448e553b5f6a69f4ee99e75060dd8243a7caa5 Noah Williams <noahmartinwilliams@gmail.com> 1716172422 -0500	commit: Fix compilation error
+22448e553b5f6a69f4ee99e75060dd8243a7caa5 1581f2e0d66bc73b91ebe16698fcdb14427d5b2a Noah Williams <noahmartinwilliams@gmail.com> 1716229884 -0500	commit: Add addition operation for plain matrices and dependently typed ones
+1581f2e0d66bc73b91ebe16698fcdb14427d5b2a 14faaf565e7d53314a39be55dc2624c44ab3dd18 Noah Williams <noahmartinwilliams@gmail.com> 1716230006 -0500	commit: Add subtraction operator
+14faaf565e7d53314a39be55dc2624c44ab3dd18 9403caff420aee59c3499a070ff26c48ac392ed9 Noah Williams <noahmartinwilliams@gmail.com> 1716230955 -0500	commit: Updata README to mention dependent types
+9403caff420aee59c3499a070ff26c48ac392ed9 660a56225f67d1dc97b858f2475eaeab444dfbbe Noah Williams <noahmartinwilliams@gmail.com> 1716324463 -0500	commit: Add useMat function to translate plain matrices into accelerated ones
+660a56225f67d1dc97b858f2475eaeab444dfbbe 203d0a5402c876124bb5c937203f2363a24f4ad5 Noah Williams <noahmartinwilliams@gmail.com> 1716748828 -0500	commit: Prepare for hackage
+203d0a5402c876124bb5c937203f2363a24f4ad5 c0b7a8179fc1d96b98204aa7fa3712b1783780fc Noah Williams <noahmartinwilliams@gmail.com> 1716838880 -0500	commit: Add version bounds to package.yaml
+c0b7a8179fc1d96b98204aa7fa3712b1783780fc ed14dfef638cf03f175cfd24c899d3607ab16653 Noah Williams <noahmartinwilliams@gmail.com> 1716839278 -0500	commit: Add synopsis and category field
+ed14dfef638cf03f175cfd24c899d3607ab16653 c8e1a9a19c91373b5cac4b72517230d3d952d1db Noah Williams <noahmartinwilliams@gmail.com> 1716839382 -0500	commit: Add exposed modules field to package.yaml
+c8e1a9a19c91373b5cac4b72517230d3d952d1db e9267aa05a122cf86d1cd7b002171eab781a7913 Noah Williams <noahmartinwilliams@gmail.com> 1716840674 -0500	commit: Add description field to package.yaml
+e9267aa05a122cf86d1cd7b002171eab781a7913 5665b7c96d2a75ca567d4cb3e160ff8b93134b24 Noah Williams <noahmartinwilliams@gmail.com> 1716916953 -0500	commit: Add Data.Array.Accelerate.Matrix to exposed modules in cabal file
+5665b7c96d2a75ca567d4cb3e160ff8b93134b24 d9a5b5b2d3bb7928113f4a104ad90b0732625b93 Noah Williams <noahmartinwilliams@gmail.com> 1716917473 -0500	commit: Add module documentation
+d9a5b5b2d3bb7928113f4a104ad90b0732625b93 93af8f63f682ee549ac1c718420fea1858969469 Noah Williams <noahmartinwilliams@gmail.com> 1717084758 -0500	commit: Add matScale function for multiplying dependently typed matrices by scalars
+93af8f63f682ee549ac1c718420fea1858969469 34cf03264982c950f99a3a62299b244704d70d34 Noah Williams <noahmartinwilliams@gmail.com> 1730400835 -0500	commit: Fix Typos In Cabal File And Stack File
+34cf03264982c950f99a3a62299b244704d70d34 247a11f2e97624be1dd31b5248656b224aa16a01 Noah Williams <noahmartinwilliams@gmail.com> 1774381309 -0400	commit: Bump Version Of lens-accelerate
+247a11f2e97624be1dd31b5248656b224aa16a01 ba163f354f0b983ec8d5fce32a2833214f74ac85 Noah Williams <noahmartinwilliams@gmail.com> 1774456680 -0400	commit: Add Take And Drop Functions
+ba163f354f0b983ec8d5fce32a2833214f74ac85 5a391b0d9f89ff0d9067cab65dad7a9826c2c578 Noah Williams <noahmartinwilliams@gmail.com> 1774457103 -0400	commit: Add Append Operator
+5a391b0d9f89ff0d9067cab65dad7a9826c2c578 683e11d81c1b3762de227fc2d7a38c15aeb74f41 Noah Williams <noahmartinwilliams@gmail.com> 1774457353 -0400	commit: Add matTake, matDrop, and matAppend to export list.
+683e11d81c1b3762de227fc2d7a38c15aeb74f41 6c43fbf3419bb3c1f3dd7b9b57982bd22dfc8532 Noah Williams <noahmartinwilliams@gmail.com> 1774539607 -0400	commit: Add matZipMul Function
+6c43fbf3419bb3c1f3dd7b9b57982bd22dfc8532 842f450ae5dde3a3447ce23d19d10326ec37dcad Noah Williams <noahmartinwilliams@gmail.com> 1775147783 -0400	commit: Add Mapping Function And Element-Wise Division
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diff --git a/.git/refs/heads/main b/.git/refs/heads/main
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--- /dev/null
+++ b/.git/refs/heads/main
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diff --git a/.git/refs/remotes/github-https/HEAD b/.git/refs/remotes/github-https/HEAD
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--- /dev/null
+++ b/.git/refs/remotes/github-https/HEAD
@@ -0,0 +1,1 @@
+ref: refs/remotes/github-https/main
diff --git a/.git/refs/remotes/github-https/main b/.git/refs/remotes/github-https/main
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--- /dev/null
+++ b/.git/refs/remotes/github-https/main
@@ -0,0 +1,1 @@
+f92c250ebce8214903d48ca98864cc194c972dfd
diff --git a/.git/refs/remotes/github/HEAD b/.git/refs/remotes/github/HEAD
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--- /dev/null
+++ b/.git/refs/remotes/github/HEAD
@@ -0,0 +1,1 @@
+ref: refs/remotes/github/main
diff --git a/.git/refs/remotes/github/main b/.git/refs/remotes/github/main
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--- /dev/null
+++ b/.git/refs/remotes/github/main
@@ -0,0 +1,1 @@
+f92c250ebce8214903d48ca98864cc194c972dfd
diff --git a/.git/refs/tags/0.2.0.0 b/.git/refs/tags/0.2.0.0
new file mode 100644
--- /dev/null
+++ b/.git/refs/tags/0.2.0.0
@@ -0,0 +1,1 @@
+79b1550593112c098619cafdce23c0eb2efbc0fa
diff --git a/.gitignore b/.gitignore
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--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,2 @@
+.stack-work/
+*~
diff --git a/CHANGELOG.md b/CHANGELOG.md
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--- /dev/null
+++ b/CHANGELOG.md
@@ -0,0 +1,11 @@
+# Changelog for `accelerate-matrix`
+
+All notable changes to this project will be documented in this file.
+
+The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
+and this project adheres to the
+[Haskell Package Versioning Policy](https://pvp.haskell.org/).
+
+## Unreleased
+
+## 0.1.0.0 - YYYY-MM-DD
diff --git a/LICENSE b/LICENSE
new file mode 100644
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,30 @@
+Copyright Noah Martin Williams (c) 2024
+
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above
+      copyright notice, this list of conditions and the following
+      disclaimer in the documentation and/or other materials provided
+      with the distribution.
+
+    * Neither the name of Author name here nor the names of other
+      contributors may be used to endorse or promote products derived
+      from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/README.md b/README.md
new file mode 100644
--- /dev/null
+++ b/README.md
@@ -0,0 +1,3 @@
+# accelerate-matrix
+
+Matrix operations for accelerate with dependent types for aligning matrix operations.
diff --git a/Setup.hs b/Setup.hs
new file mode 100644
--- /dev/null
+++ b/Setup.hs
@@ -0,0 +1,2 @@
+import Distribution.Simple
+main = defaultMain
diff --git a/app/Main.hs b/app/Main.hs
new file mode 100644
--- /dev/null
+++ b/app/Main.hs
@@ -0,0 +1,6 @@
+module Main (main) where
+
+import Lib
+
+main :: IO ()
+main = someFunc
diff --git a/cabal.project b/cabal.project
new file mode 100644
--- /dev/null
+++ b/cabal.project
@@ -0,0 +1,2 @@
+packages:
+    .
diff --git a/dist-newstyle/cache/compiler b/dist-newstyle/cache/compiler
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diff --git a/dist-newstyle/cache/config b/dist-newstyle/cache/config
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diff --git a/matrix-accelerate.cabal b/matrix-accelerate.cabal
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--- /dev/null
+++ b/matrix-accelerate.cabal
@@ -0,0 +1,56 @@
+cabal-version: 2.2
+
+-- This file has been generated from package.yaml by hpack version 0.39.6.
+--
+-- see: https://github.com/sol/hpack
+
+name:           matrix-accelerate
+version:        0.2.0.0
+synopsis:       An accelerate library that adds dependently typed matrices.
+description:    An accelerate library that adds dependently typed matrices. This library adds the ability to do matrix manipulations with or without dependent types to help line up the operations so as to prevent runtime errors.
+category:       Accelerate, Matrices, GPU
+homepage:       https://github.com/noahmartinwilliams/matrix-accelerate#readme
+bug-reports:    https://github.com/noahmartinwilliams/matrix-accelerate/issues
+author:         Noah Martin Williams
+maintainer:     noahmartinwilliams@gmail.com
+copyright:      2024 Noah Williams
+license:        BSD-3-Clause
+license-file:   LICENSE
+build-type:     Simple
+extra-doc-files:
+    README.md
+    CHANGELOG.md
+
+source-repository head
+  type: git
+  location: https://github.com/noahmartinwilliams/matrix-accelerate
+
+library
+  exposed-modules:
+      Data.Array.Accelerate.Matrix
+  other-modules:
+      Paths_matrix_accelerate
+  autogen-modules:
+      Paths_matrix_accelerate
+  hs-source-dirs:
+      src
+  ghc-options: -Wall -Wcompat -Widentities -Wincomplete-record-updates -Wincomplete-uni-patterns -Wmissing-export-lists -Wmissing-home-modules -Wpartial-fields -Wredundant-constraints
+  build-depends:
+      accelerate >=1.2 && <1.5
+    , base >=4.7 && <5
+    , lens-accelerate
+  default-language: Haskell2010
+
+test-suite accelerate-matrix-test
+  type: exitcode-stdio-1.0
+  main-is: Spec.hs
+  other-modules:
+      Paths_matrix_accelerate
+  autogen-modules:
+      Paths_matrix_accelerate
+  hs-source-dirs:
+      test
+  ghc-options: -Wall -Wcompat -Widentities -Wincomplete-record-updates -Wincomplete-uni-patterns -Wmissing-export-lists -Wmissing-home-modules -Wpartial-fields -Wredundant-constraints -threaded -rtsopts -with-rtsopts=-N
+  build-depends:
+      base >=4.7 && <5
+  default-language: Haskell2010
diff --git a/package.yaml b/package.yaml
new file mode 100644
--- /dev/null
+++ b/package.yaml
@@ -0,0 +1,47 @@
+name:                matrix-accelerate
+version:             0.2.0.0
+github:              "noahmartinwilliams/matrix-accelerate"
+license:             BSD-3-Clause
+author:              "Noah Martin Williams"
+maintainer:          "noahmartinwilliams@gmail.com"
+copyright:           "2024 Noah Williams"
+category:            Accelerate, Matrices, GPU
+synopsis:            An accelerate library that adds dependently typed matrices.
+
+extra-doc-files:
+- README.md
+- CHANGELOG.md
+
+description:         An accelerate library that adds dependently typed matrices. 
+  This library adds the ability to do matrix manipulations with or without dependent types to help line up the operations 
+  so as to prevent runtime errors.
+
+dependencies:
+- base >= 4.7 && < 5
+
+ghc-options:
+- -Wall
+- -Wcompat
+- -Widentities
+- -Wincomplete-record-updates
+- -Wincomplete-uni-patterns
+- -Wmissing-export-lists
+- -Wmissing-home-modules
+- -Wpartial-fields
+- -Wredundant-constraints
+
+library:
+  source-dirs: src
+  exposed-modules: Data.Array.Accelerate.Matrix
+  dependencies:
+  - accelerate >= 1.2 && < 1.5
+  - lens-accelerate 
+
+tests:
+  accelerate-matrix-test:
+    main:                Spec.hs
+    source-dirs:         test
+    ghc-options:
+    - -threaded
+    - -rtsopts
+    - -with-rtsopts=-N
diff --git a/src/Data/Array/Accelerate/Matrix.hs b/src/Data/Array/Accelerate/Matrix.hs
new file mode 100644
--- /dev/null
+++ b/src/Data/Array/Accelerate/Matrix.hs
@@ -0,0 +1,132 @@
+{-|
+Module        : Data.Array.Accelerate.Matrix
+Description   : Functions for plain and dependently typed matrix math.
+Copyright     : (c) Noah Martin Williams 2024
+License       : BSD-3-Clause
+Maintainer    : noahmartinwilliams@gmail.com
+Stability     : experimental
+Portability   : POSIX
+
+This module contains functions for doing matrix math such as addition, subtraction, and multiplication
+for both plain and dependently typed matrices.
+-}
+{-# LANGUAGE TypeOperators #-}
+{-# LANGUAGE FlexibleContexts #-}
+{-# LANGUAGE GADTs #-}
+module Data.Array.Accelerate.Matrix(mMul, matMul, identMat, Mat(..), AccMat(..), matTransp, matAdd, mAdd, mSub, matSub, useMat, matScale, matTake, matDrop, matAppend, matZipMul, matZipDiv, matMap, matSize, matZipWith) where
+
+import Prelude as P
+import Data.Array.Accelerate as A
+import Data.Array.Accelerate.Control.Lens.Shape
+
+-- |Creat an identity matrix with the dimension provided
+identMat :: Exp Int -> Acc (Matrix Int)
+identMat n = generate (index2 n n) (\(I2 a b) -> a A.== b A.? ((constant 1), (constant 0)))
+
+-- These two lines were blatantly stolen from here: https://hackage.haskell.org/package/accelerate-1.3.0.0/docs/Data-Array-Accelerate.html
+rep0 :: (Shape sh, Elt e) => Exp Int -> Acc (Array sh e) -> Acc (Array (sh:.Int) e)
+rep0 n a = A.replicate (lift (Any:.n)) a
+
+{-
+    Example:
+    let m1 = A.generate (constant (Z:.3:.5)) (\(I2 x y) -> (A.fromIntegral x :: Exp Double) * 5.0 + (A.fromIntegral y :: Exp Double))
+        m2 = A.generate (constant (Z:.5:.3)) (\(I2 x y) -> (A.fromIntegral x :: Exp Double) * 5.0 + (A.fromIntegral y :: Exp Double))
+        m1 `mMul` m2 = 
+   [150   160   170
+    400   435   470
+    650   710   770]
+-}
+
+-- |Multiply two matrices together without dependent types.
+mMul :: A.Num e => Acc (Matrix e) -> Acc (Matrix e) -> Acc (Matrix e)
+mMul m1 m2 = do
+    let Z:.m1NumRows:._ = unlift (shape m1 :: Exp (Plain (Z:.Int:.Int))) :: (Z:.Exp Int:.Exp Int)
+        Z:._:.m2NumCols = unlift (shape m2 :: Exp (Plain (Z:.Int:.Int))) :: (Z:.Exp Int:.Exp Int)
+        m1Tensor = transposeOn _1 _2 (rep0 m2NumCols m1)
+        m2Tensor = transposeOn _2 _3 (transposeOn _1 _2 (rep0 m1NumRows (A.transpose m2)))
+        ret = A.sum (A.zipWith (*) m1Tensor m2Tensor)
+    ret
+
+-- |Add two matrices without dependent types.
+mAdd :: A.Num e => Acc (Matrix e) -> Acc (Matrix e) -> Acc (Matrix e)
+mAdd left right = A.zipWith (+) left right
+
+-- |Subtract one matrix from another without dependent types.
+mSub :: A.Num e => Acc (Matrix e) -> Acc (Matrix e) -> Acc (Matrix e)
+mSub left right = A.zipWith (-) left right
+
+-- |Dependent type for accelerate matrices.
+data AccMat e a b where 
+    -- |Dependently typed accelerated matrix which forces two types to line up.
+    AccMat :: (Elt e, A.Num e) => Acc (Matrix e) -> a -> b -> AccMat e a b
+
+-- |Dependent type for plain matrices.
+data Mat e a b where
+    -- |Dependently typed plain matrix for passing to compiled functions.
+    Mat :: (Elt e, A.Num e) => Matrix e -> a -> b -> Mat e a b
+
+-- |Change the type of a dependently typed matrix from AccMat to Mat.
+useMat :: Mat e a b -> AccMat e a b
+useMat (Mat mat a b) = AccMat (use mat) a b
+
+-- |Multiply two dependently typed matrices together.
+-- |For example:
+-- 
+-- @
+-- data A = A
+-- data B = B
+-- data C = C
+-- 
+-- let m1 = AccMat (use (fromList (Z:.10:.12) [0..] :: Matrix Int)) A B
+-- let m2 = AccMat (use (fromList (Z:.12:.13) [0..] :: Matrix Int)) B C
+-- let mResult = m1 `matMul` m2
+matMul :: A.Num e => AccMat e a b -> AccMat e b c -> AccMat e a c
+matMul (AccMat left a _) (AccMat right _ c) = AccMat (mMul left right) a c
+
+-- |Add two dependently typed matrices.
+matAdd :: A.Num e => AccMat e a b -> AccMat e a b -> AccMat e a b
+matAdd (AccMat left a b) (AccMat right _ _) = AccMat (mAdd left right) a b
+
+-- |Subtract one dependently typed matrix from another.
+matSub :: A.Num e => AccMat e a b -> AccMat e a b -> AccMat e a b
+matSub (AccMat left a b) (AccMat right _ _) = AccMat (mSub left right) a b
+
+-- |Transpose a dependently typed matrix.
+matTransp :: AccMat e a b -> AccMat e b a
+matTransp (AccMat mat a b) = AccMat (A.transpose mat) b a
+
+-- |Scale a dependently typed matrix.
+matScale :: A.Num e => Exp e -> AccMat e a b -> AccMat e a b
+matScale s (AccMat m a b) = AccMat (A.map (\x -> s * x) m) a b
+
+-- |Take i columns from the matrix and return it with a new specified number of columns.
+matTake :: A.Num e => Exp Int -> AccMat e a b -> c -> AccMat e a c
+matTake i (AccMat e a _) c = AccMat (A.take i e) a c
+
+-- |Drop i columns from the matrix and return it with a new specified number of columns.
+matDrop :: A.Num e => Exp Int -> AccMat e a b -> c -> AccMat e a c
+matDrop i (AccMat e a _) c = AccMat (A.drop i e) a c
+
+-- |Append one matrix to another and return it with a new specified number of columns.
+matAppend :: A.Num e => AccMat e a b -> AccMat e a c -> d -> AccMat e a d
+matAppend (AccMat e a _) (AccMat e' _ _ ) d = AccMat (e A.++ e') a d
+
+-- |Element-wise multiplication
+matZipMul :: A.Num e => AccMat e a b -> AccMat e a b -> AccMat e a b
+matZipMul (AccMat e a b) (AccMat e' _ _) = AccMat (A.zipWith (*) e e') a b
+
+-- |Element-wise division
+matZipDiv :: (A.Fractional e) => AccMat e a b -> AccMat e a b -> AccMat e a b
+matZipDiv (AccMat e a b) (AccMat e' _ _) = AccMat (A.zipWith (/) e e') a b
+
+-- |Apply function element-wise
+matMap :: A.Num e => AccMat e a b -> (Exp e -> Exp e) -> AccMat e a b
+matMap (AccMat e a b) fn = AccMat (A.map fn e) a b
+
+-- |Find the total number of elements in the matrix
+matSize :: A.Elt e => AccMat e a b -> Exp Int
+matSize (AccMat m _ _) = A.size m
+
+-- |Zip two matrices together with a function
+matZipWith :: (A.Num e, A.Num e1, A.Num e2) => (Exp e -> Exp e1 -> Exp e2) -> AccMat e a b -> AccMat e1 a b -> AccMat e2 a b
+matZipWith fn (AccMat m _ _) (AccMat m' a b) = AccMat (A.zipWith fn m m') a b
diff --git a/stack.yaml b/stack.yaml
new file mode 100644
--- /dev/null
+++ b/stack.yaml
@@ -0,0 +1,50 @@
+# This file was automatically generated by 'stack init'
+#
+# Some commonly used options have been documented as comments in this file.
+# For advanced use and comprehensive documentation of the format, please see:
+# https://docs.haskellstack.org/en/stable/yaml_configuration/
+
+# Resolver to choose a 'specific' stackage snapshot or a compiler version.
+# A snapshot resolver dictates the compiler version and the set of packages
+# to be used for project dependencies. For example:
+#
+# resolver: lts-22.7
+# resolver: nightly-2024-01-20
+# resolver: ghc-9.6.4
+#
+# The location of a snapshot can be provided as a file or url. Stack assumes
+# a snapshot provided as a file might change, whereas a url resource does not.
+#
+# resolver: ./custom-snapshot.yaml
+# resolver: https://example.com/snapshots/2023-01-01.yaml
+resolver:
+  url: https://raw.githubusercontent.com/commercialhaskell/stackage-snapshots/master/lts/22/11.yaml
+
+# User packages to be built.
+# Various formats can be used as shown in the example below.
+#
+# packages:
+# - some-directory
+# - https://example.com/foo/bar/baz-0.0.2.tar.gz
+#   subdirs:
+#   - auto-update
+#   - wai
+packages:
+- .
+# Dependency packages to be pulled from upstream that are not in the resolver.
+# These entries can reference officially published versions as well as
+# forks / in-progress versions pinned to a git hash. For example:
+#
+# extra-deps:
+# - acme-missiles-0.3
+# - git: https://github.com/commercialhaskell/stack.git
+#   commit: e7b331f14bcffb8367cd58fbfc8b40ec7642100a
+#
+# extra-deps: []
+pvp-bounds: both
+extra-deps:
+- github: tmcdonell/lens-accelerate
+  commit: c717610c1ea5531d14ef0ca9f8e73e3aa3b80a5e
+- github: gregorycollins/hashtables
+  commit: 0c5c8548ad7e8e90ab68bfbe6697069c969718aa
+- accelerate-1.4.0.0@sha256:f6a60e1802d2340ab4a6334077fad3aad3e0ccc9743377dcf5a98a30a525d021,25886
diff --git a/stack.yaml.lock b/stack.yaml.lock
new file mode 100644
--- /dev/null
+++ b/stack.yaml.lock
@@ -0,0 +1,42 @@
+# This file was autogenerated by Stack.
+# You should not edit this file by hand.
+# For more information, please see the documentation at:
+#   https://docs.haskellstack.org/en/stable/topics/lock_files
+
+packages:
+- completed:
+    name: lens-accelerate
+    pantry-tree:
+      sha256: bfd3521fb0160f808bce57f411c2385618cf89db736db8d9f3376380dfd58e53
+      size: 1119
+    sha256: 346b686a5db952d3a1198d6a613d085a92c80d0d39a8408afe04abccac11e335
+    size: 8606
+    url: https://github.com/tmcdonell/lens-accelerate/archive/c717610c1ea5531d14ef0ca9f8e73e3aa3b80a5e.tar.gz
+    version: 0.3.0.0
+  original:
+    url: https://github.com/tmcdonell/lens-accelerate/archive/c717610c1ea5531d14ef0ca9f8e73e3aa3b80a5e.tar.gz
+- completed:
+    name: hashtables
+    pantry-tree:
+      sha256: dbb923ec2321d67741bcfde3c9dcf3ad53e183110359f5dd633e4c90a4093014
+      size: 3320
+    sha256: b8c10201f99fd6789d9f8ec7ab70129f2c7b99525fe9f03f690607f3da8ad526
+    size: 64815
+    url: https://github.com/gregorycollins/hashtables/archive/0c5c8548ad7e8e90ab68bfbe6697069c969718aa.tar.gz
+    version: 1.4.2
+  original:
+    url: https://github.com/gregorycollins/hashtables/archive/0c5c8548ad7e8e90ab68bfbe6697069c969718aa.tar.gz
+- completed:
+    hackage: accelerate-1.4.0.0@sha256:f6a60e1802d2340ab4a6334077fad3aad3e0ccc9743377dcf5a98a30a525d021,25886
+    pantry-tree:
+      sha256: 0f012cbb7c5274526a9829aa4c992c4590bccf40835846fbb260d39345cbb94f
+      size: 37648
+  original:
+    hackage: accelerate-1.4.0.0@sha256:f6a60e1802d2340ab4a6334077fad3aad3e0ccc9743377dcf5a98a30a525d021,25886
+snapshots:
+- completed:
+    sha256: 2fdd7d3e54540062ef75ca0a73ca3a804c527dbf8a4cadafabf340e66ac4af40
+    size: 712469
+    url: https://raw.githubusercontent.com/commercialhaskell/stackage-snapshots/master/lts/22/11.yaml
+  original:
+    url: https://raw.githubusercontent.com/commercialhaskell/stackage-snapshots/master/lts/22/11.yaml
diff --git a/test/Spec.hs b/test/Spec.hs
new file mode 100644
--- /dev/null
+++ b/test/Spec.hs
@@ -0,0 +1,2 @@
+main :: IO ()
+main = putStrLn "Test suite not yet implemented"
