diff --git a/CHANGELOG.md b/CHANGELOG.md
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,35 +1,39 @@
-# Revision history for finitary-derive
-
-## 2.2.0.0 -- 2019-11-27
-
-* Fix definition of ``Packed`` for ``PackInto`` to actually agree with the
-  documentation.
-
-## 2.1.0.0 -- 2019-11-24
-
-* Fix bug in ``Ord`` instances for the ``Pack*`` types.
-* Fix definition of ``Packed`` pattern to actually agree with the documentation.
-* Define a ``newtype`` wrapper for better provision of ``Binary`` and
-  ``Hashable`` instances for ``Vector``s of ``PackBits`` types.
-* Remove ``Hashable`` and ``Binary`` instances for ``PackBits`` (both
-  varieties).
-* Fix documentation typoes.
-
-## 2.0.0.0 -- 2019-11-23
-
-* Remove ``Data.Finitary.Pack``.
-* Add ``Data.Finitary.PackBits``, ``Data.Finitary.PackWords``,
-  ``Data.Finitary.PackBytes``, ``Data.Finitary.PackBits.Unsafe`` and
-  ``Data.Finitary.PackInto``
-* Refactor 'packing-agnostic' functionality into ``Data.Finitary.Finiteness``.
-* A lot of documentation changes.
-
-## 1.0.0.1 -- 2019-09-21
-
-* Fix documentation.
-* Raise bounds on ``finitary`` to avoid critical bugs.
-* Raise bounds on ``base`` for test (for honesty reasons).
-
-## 1.0.0.0 -- 2019-09-17
-
-* First version. Released on an unsuspecting world.
+# Revision history for finitary-derive
+
+## 2.2.0.1 -- 2021-02-09
+
+* Update bounds for compatibility with GHC 9.0
+
+## 2.2.0.0 -- 2019-11-27
+
+* Fix definition of ``Packed`` for ``PackInto`` to actually agree with the
+  documentation.
+
+## 2.1.0.0 -- 2019-11-24
+
+* Fix bug in ``Ord`` instances for the ``Pack*`` types.
+* Fix definition of ``Packed`` pattern to actually agree with the documentation.
+* Define a ``newtype`` wrapper for better provision of ``Binary`` and
+  ``Hashable`` instances for ``Vector``s of ``PackBits`` types.
+* Remove ``Hashable`` and ``Binary`` instances for ``PackBits`` (both
+  varieties).
+* Fix documentation typoes.
+
+## 2.0.0.0 -- 2019-11-23
+
+* Remove ``Data.Finitary.Pack``.
+* Add ``Data.Finitary.PackBits``, ``Data.Finitary.PackWords``,
+  ``Data.Finitary.PackBytes``, ``Data.Finitary.PackBits.Unsafe`` and
+  ``Data.Finitary.PackInto``
+* Refactor 'packing-agnostic' functionality into ``Data.Finitary.Finiteness``.
+* A lot of documentation changes.
+
+## 1.0.0.1 -- 2019-09-21
+
+* Fix documentation.
+* Raise bounds on ``finitary`` to avoid critical bugs.
+* Raise bounds on ``base`` for test (for honesty reasons).
+
+## 1.0.0.0 -- 2019-09-17
+
+* First version. Released on an unsuspecting world.
diff --git a/LICENSE.md b/LICENSE.md
--- a/LICENSE.md
+++ b/LICENSE.md
@@ -1,675 +1,675 @@
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-excuse you from the conditions of this License. If you cannot convey a
-covered work so as to satisfy simultaneously your obligations under
-this License and any other pertinent obligations, then as a
-consequence you may not convey it at all. For example, if you agree to
-terms that obligate you to collect a royalty for further conveying
-from those to whom you convey the Program, the only way you could
-satisfy both those terms and this License would be to refrain entirely
-from conveying the Program.
-
-#### 13. Use with the GNU Affero General Public License.
-
-Notwithstanding any other provision of this License, you have
-permission to link or combine any covered work with a work licensed
-under version 3 of the GNU Affero General Public License into a single
-combined work, and to convey the resulting work. The terms of this
-License will continue to apply to the part which is the covered work,
-but the special requirements of the GNU Affero General Public License,
-section 13, concerning interaction through a network will apply to the
-combination as such.
-
-#### 14. Revised Versions of this License.
-
-The Free Software Foundation may publish revised and/or new versions
-of the GNU General Public License from time to time. Such new versions
-will be similar in spirit to the present version, but may differ in
-detail to address new problems or concerns.
-
-Each version is given a distinguishing version number. If the Program
-specifies that a certain numbered version of the GNU General Public
-License "or any later version" applies to it, you have the option of
-following the terms and conditions either of that numbered version or
-of any later version published by the Free Software Foundation. If the
-Program does not specify a version number of the GNU General Public
-License, you may choose any version ever published by the Free
-Software Foundation.
-
-If the Program specifies that a proxy can decide which future versions
-of the GNU General Public License can be used, that proxy's public
-statement of acceptance of a version permanently authorizes you to
-choose that version for the Program.
-
-Later license versions may give you additional or different
-permissions. However, no additional obligations are imposed on any
-author or copyright holder as a result of your choosing to follow a
-later version.
-
-#### 15. Disclaimer of Warranty.
-
-THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
-APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
-HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT
-WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT
-LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND
-PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE
-DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR
-CORRECTION.
-
-#### 16. Limitation of Liability.
-
-IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
-WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR
-CONVEYS THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
-INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES
-ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT
-NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR
-LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM
-TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER
-PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
-
-#### 17. Interpretation of Sections 15 and 16.
-
-If the disclaimer of warranty and limitation of liability provided
-above cannot be given local legal effect according to their terms,
-reviewing courts shall apply local law that most closely approximates
-an absolute waiver of all civil liability in connection with the
-Program, unless a warranty or assumption of liability accompanies a
-copy of the Program in return for a fee.
-
-END OF TERMS AND CONDITIONS
-
-### How to Apply These Terms to Your New Programs
-
-If you develop a new program, and you want it to be of the greatest
-possible use to the public, the best way to achieve this is to make it
-free software which everyone can redistribute and change under these
-terms.
-
-To do so, attach the following notices to the program. It is safest to
-attach them to the start of each source file to most effectively state
-the exclusion of warranty; and each file should have at least the
-"copyright" line and a pointer to where the full notice is found.
-
-        <one line to give the program's name and a brief idea of what it does.>
-        Copyright (C) <year>  <name of author>
-
-        This program is free software: you can redistribute it and/or modify
-        it under the terms of the GNU General Public License as published by
-        the Free Software Foundation, either version 3 of the License, or
-        (at your option) any later version.
-
-        This program is distributed in the hope that it will be useful,
-        but WITHOUT ANY WARRANTY; without even the implied warranty of
-        MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-        GNU General Public License for more details.
-
-        You should have received a copy of the GNU General Public License
-        along with this program.  If not, see <https://www.gnu.org/licenses/>.
-
-Also add information on how to contact you by electronic and paper
-mail.
-
-If the program does terminal interaction, make it output a short
-notice like this when it starts in an interactive mode:
-
-        <program>  Copyright (C) <year>  <name of author>
-        This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
-        This is free software, and you are welcome to redistribute it
-        under certain conditions; type `show c' for details.
-
-The hypothetical commands \`show w' and \`show c' should show the
-appropriate parts of the General Public License. Of course, your
-program's commands might be different; for a GUI interface, you would
-use an "about box".
-
-You should also get your employer (if you work as a programmer) or
-school, if any, to sign a "copyright disclaimer" for the program, if
-necessary. For more information on this, and how to apply and follow
-the GNU GPL, see <https://www.gnu.org/licenses/>.
-
-The GNU General Public License does not permit incorporating your
-program into proprietary programs. If your program is a subroutine
-library, you may consider it more useful to permit linking proprietary
-applications with the library. If this is what you want to do, use the
-GNU Lesser General Public License instead of this License. But first,
-please read <https://www.gnu.org/licenses/why-not-lgpl.html>.
+### GNU GENERAL PUBLIC LICENSE
+
+Version 3, 29 June 2007
+
+Copyright (C) 2007 Free Software Foundation, Inc.
+<https://fsf.org/>
+
+Everyone is permitted to copy and distribute verbatim copies of this
+license document, but changing it is not allowed.
+
+### Preamble
+
+The GNU General Public License is a free, copyleft license for
+software and other kinds of works.
+
+The licenses for most software and other practical works are designed
+to take away your freedom to share and change the works. By contrast,
+the GNU General Public License is intended to guarantee your freedom
+to share and change all versions of a program--to make sure it remains
+free software for all its users. We, the Free Software Foundation, use
+the GNU General Public License for most of our software; it applies
+also to any other work released this way by its authors. You can apply
+it to your programs, too.
+
+When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+them if you wish), that you receive source code or can get it if you
+want it, that you can change the software or use pieces of it in new
+free programs, and that you know you can do these things.
+
+To protect your rights, we need to prevent others from denying you
+these rights or asking you to surrender the rights. Therefore, you
+have certain responsibilities if you distribute copies of the
+software, or if you modify it: responsibilities to respect the freedom
+of others.
+
+For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must pass on to the recipients the same
+freedoms that you received. You must make sure that they, too, receive
+or can get the source code. And you must show them these terms so they
+know their rights.
+
+Developers that use the GNU GPL protect your rights with two steps:
+(1) assert copyright on the software, and (2) offer you this License
+giving you legal permission to copy, distribute and/or modify it.
+
+For the developers' and authors' protection, the GPL clearly explains
+that there is no warranty for this free software. For both users' and
+authors' sake, the GPL requires that modified versions be marked as
+changed, so that their problems will not be attributed erroneously to
+authors of previous versions.
+
+Some devices are designed to deny users access to install or run
+modified versions of the software inside them, although the
+manufacturer can do so. This is fundamentally incompatible with the
+aim of protecting users' freedom to change the software. The
+systematic pattern of such abuse occurs in the area of products for
+individuals to use, which is precisely where it is most unacceptable.
+Therefore, we have designed this version of the GPL to prohibit the
+practice for those products. If such problems arise substantially in
+other domains, we stand ready to extend this provision to those
+domains in future versions of the GPL, as needed to protect the
+freedom of users.
+
+Finally, every program is threatened constantly by software patents.
+States should not allow patents to restrict development and use of
+software on general-purpose computers, but in those that do, we wish
+to avoid the special danger that patents applied to a free program
+could make it effectively proprietary. To prevent this, the GPL
+assures that patents cannot be used to render the program non-free.
+
+The precise terms and conditions for copying, distribution and
+modification follow.
+
+### TERMS AND CONDITIONS
+
+#### 0. Definitions.
+
+"This License" refers to version 3 of the GNU General Public License.
+
+"Copyright" also means copyright-like laws that apply to other kinds
+of works, such as semiconductor masks.
+
+"The Program" refers to any copyrightable work licensed under this
+License. Each licensee is addressed as "you". "Licensees" and
+"recipients" may be individuals or organizations.
+
+To "modify" a work means to copy from or adapt all or part of the work
+in a fashion requiring copyright permission, other than the making of
+an exact copy. The resulting work is called a "modified version" of
+the earlier work or a work "based on" the earlier work.
+
+A "covered work" means either the unmodified Program or a work based
+on the Program.
+
+To "propagate" a work means to do anything with it that, without
+permission, would make you directly or secondarily liable for
+infringement under applicable copyright law, except executing it on a
+computer or modifying a private copy. Propagation includes copying,
+distribution (with or without modification), making available to the
+public, and in some countries other activities as well.
+
+To "convey" a work means any kind of propagation that enables other
+parties to make or receive copies. Mere interaction with a user
+through a computer network, with no transfer of a copy, is not
+conveying.
+
+An interactive user interface displays "Appropriate Legal Notices" to
+the extent that it includes a convenient and prominently visible
+feature that (1) displays an appropriate copyright notice, and (2)
+tells the user that there is no warranty for the work (except to the
+extent that warranties are provided), that licensees may convey the
+work under this License, and how to view a copy of this License. If
+the interface presents a list of user commands or options, such as a
+menu, a prominent item in the list meets this criterion.
+
+#### 1. Source Code.
+
+The "source code" for a work means the preferred form of the work for
+making modifications to it. "Object code" means any non-source form of
+a work.
+
+A "Standard Interface" means an interface that either is an official
+standard defined by a recognized standards body, or, in the case of
+interfaces specified for a particular programming language, one that
+is widely used among developers working in that language.
+
+The "System Libraries" of an executable work include anything, other
+than the work as a whole, that (a) is included in the normal form of
+packaging a Major Component, but which is not part of that Major
+Component, and (b) serves only to enable use of the work with that
+Major Component, or to implement a Standard Interface for which an
+implementation is available to the public in source code form. A
+"Major Component", in this context, means a major essential component
+(kernel, window system, and so on) of the specific operating system
+(if any) on which the executable work runs, or a compiler used to
+produce the work, or an object code interpreter used to run it.
+
+The "Corresponding Source" for a work in object code form means all
+the source code needed to generate, install, and (for an executable
+work) run the object code and to modify the work, including scripts to
+control those activities. However, it does not include the work's
+System Libraries, or general-purpose tools or generally available free
+programs which are used unmodified in performing those activities but
+which are not part of the work. For example, Corresponding Source
+includes interface definition files associated with source files for
+the work, and the source code for shared libraries and dynamically
+linked subprograms that the work is specifically designed to require,
+such as by intimate data communication or control flow between those
+subprograms and other parts of the work.
+
+The Corresponding Source need not include anything that users can
+regenerate automatically from other parts of the Corresponding Source.
+
+The Corresponding Source for a work in source code form is that same
+work.
+
+#### 2. Basic Permissions.
+
+All rights granted under this License are granted for the term of
+copyright on the Program, and are irrevocable provided the stated
+conditions are met. This License explicitly affirms your unlimited
+permission to run the unmodified Program. The output from running a
+covered work is covered by this License only if the output, given its
+content, constitutes a covered work. This License acknowledges your
+rights of fair use or other equivalent, as provided by copyright law.
+
+You may make, run and propagate covered works that you do not convey,
+without conditions so long as your license otherwise remains in force.
+You may convey covered works to others for the sole purpose of having
+them make modifications exclusively for you, or provide you with
+facilities for running those works, provided that you comply with the
+terms of this License in conveying all material for which you do not
+control copyright. Those thus making or running the covered works for
+you must do so exclusively on your behalf, under your direction and
+control, on terms that prohibit them from making any copies of your
+copyrighted material outside their relationship with you.
+
+Conveying under any other circumstances is permitted solely under the
+conditions stated below. Sublicensing is not allowed; section 10 makes
+it unnecessary.
+
+#### 3. Protecting Users' Legal Rights From Anti-Circumvention Law.
+
+No covered work shall be deemed part of an effective technological
+measure under any applicable law fulfilling obligations under article
+11 of the WIPO copyright treaty adopted on 20 December 1996, or
+similar laws prohibiting or restricting circumvention of such
+measures.
+
+When you convey a covered work, you waive any legal power to forbid
+circumvention of technological measures to the extent such
+circumvention is effected by exercising rights under this License with
+respect to the covered work, and you disclaim any intention to limit
+operation or modification of the work as a means of enforcing, against
+the work's users, your or third parties' legal rights to forbid
+circumvention of technological measures.
+
+#### 4. Conveying Verbatim Copies.
+
+You may convey verbatim copies of the Program's source code as you
+receive it, in any medium, provided that you conspicuously and
+appropriately publish on each copy an appropriate copyright notice;
+keep intact all notices stating that this License and any
+non-permissive terms added in accord with section 7 apply to the code;
+keep intact all notices of the absence of any warranty; and give all
+recipients a copy of this License along with the Program.
+
+You may charge any price or no price for each copy that you convey,
+and you may offer support or warranty protection for a fee.
+
+#### 5. Conveying Modified Source Versions.
+
+You may convey a work based on the Program, or the modifications to
+produce it from the Program, in the form of source code under the
+terms of section 4, provided that you also meet all of these
+conditions:
+
+-   a) The work must carry prominent notices stating that you modified
+    it, and giving a relevant date.
+-   b) The work must carry prominent notices stating that it is
+    released under this License and any conditions added under
+    section 7. This requirement modifies the requirement in section 4
+    to "keep intact all notices".
+-   c) You must license the entire work, as a whole, under this
+    License to anyone who comes into possession of a copy. This
+    License will therefore apply, along with any applicable section 7
+    additional terms, to the whole of the work, and all its parts,
+    regardless of how they are packaged. This License gives no
+    permission to license the work in any other way, but it does not
+    invalidate such permission if you have separately received it.
+-   d) If the work has interactive user interfaces, each must display
+    Appropriate Legal Notices; however, if the Program has interactive
+    interfaces that do not display Appropriate Legal Notices, your
+    work need not make them do so.
+
+A compilation of a covered work with other separate and independent
+works, which are not by their nature extensions of the covered work,
+and which are not combined with it such as to form a larger program,
+in or on a volume of a storage or distribution medium, is called an
+"aggregate" if the compilation and its resulting copyright are not
+used to limit the access or legal rights of the compilation's users
+beyond what the individual works permit. Inclusion of a covered work
+in an aggregate does not cause this License to apply to the other
+parts of the aggregate.
+
+#### 6. Conveying Non-Source Forms.
+
+You may convey a covered work in object code form under the terms of
+sections 4 and 5, provided that you also convey the machine-readable
+Corresponding Source under the terms of this License, in one of these
+ways:
+
+-   a) Convey the object code in, or embodied in, a physical product
+    (including a physical distribution medium), accompanied by the
+    Corresponding Source fixed on a durable physical medium
+    customarily used for software interchange.
+-   b) Convey the object code in, or embodied in, a physical product
+    (including a physical distribution medium), accompanied by a
+    written offer, valid for at least three years and valid for as
+    long as you offer spare parts or customer support for that product
+    model, to give anyone who possesses the object code either (1) a
+    copy of the Corresponding Source for all the software in the
+    product that is covered by this License, on a durable physical
+    medium customarily used for software interchange, for a price no
+    more than your reasonable cost of physically performing this
+    conveying of source, or (2) access to copy the Corresponding
+    Source from a network server at no charge.
+-   c) Convey individual copies of the object code with a copy of the
+    written offer to provide the Corresponding Source. This
+    alternative is allowed only occasionally and noncommercially, and
+    only if you received the object code with such an offer, in accord
+    with subsection 6b.
+-   d) Convey the object code by offering access from a designated
+    place (gratis or for a charge), and offer equivalent access to the
+    Corresponding Source in the same way through the same place at no
+    further charge. You need not require recipients to copy the
+    Corresponding Source along with the object code. If the place to
+    copy the object code is a network server, the Corresponding Source
+    may be on a different server (operated by you or a third party)
+    that supports equivalent copying facilities, provided you maintain
+    clear directions next to the object code saying where to find the
+    Corresponding Source. Regardless of what server hosts the
+    Corresponding Source, you remain obligated to ensure that it is
+    available for as long as needed to satisfy these requirements.
+-   e) Convey the object code using peer-to-peer transmission,
+    provided you inform other peers where the object code and
+    Corresponding Source of the work are being offered to the general
+    public at no charge under subsection 6d.
+
+A separable portion of the object code, whose source code is excluded
+from the Corresponding Source as a System Library, need not be
+included in conveying the object code work.
+
+A "User Product" is either (1) a "consumer product", which means any
+tangible personal property which is normally used for personal,
+family, or household purposes, or (2) anything designed or sold for
+incorporation into a dwelling. In determining whether a product is a
+consumer product, doubtful cases shall be resolved in favor of
+coverage. For a particular product received by a particular user,
+"normally used" refers to a typical or common use of that class of
+product, regardless of the status of the particular user or of the way
+in which the particular user actually uses, or expects or is expected
+to use, the product. A product is a consumer product regardless of
+whether the product has substantial commercial, industrial or
+non-consumer uses, unless such uses represent the only significant
+mode of use of the product.
+
+"Installation Information" for a User Product means any methods,
+procedures, authorization keys, or other information required to
+install and execute modified versions of a covered work in that User
+Product from a modified version of its Corresponding Source. The
+information must suffice to ensure that the continued functioning of
+the modified object code is in no case prevented or interfered with
+solely because modification has been made.
+
+If you convey an object code work under this section in, or with, or
+specifically for use in, a User Product, and the conveying occurs as
+part of a transaction in which the right of possession and use of the
+User Product is transferred to the recipient in perpetuity or for a
+fixed term (regardless of how the transaction is characterized), the
+Corresponding Source conveyed under this section must be accompanied
+by the Installation Information. But this requirement does not apply
+if neither you nor any third party retains the ability to install
+modified object code on the User Product (for example, the work has
+been installed in ROM).
+
+The requirement to provide Installation Information does not include a
+requirement to continue to provide support service, warranty, or
+updates for a work that has been modified or installed by the
+recipient, or for the User Product in which it has been modified or
+installed. Access to a network may be denied when the modification
+itself materially and adversely affects the operation of the network
+or violates the rules and protocols for communication across the
+network.
+
+Corresponding Source conveyed, and Installation Information provided,
+in accord with this section must be in a format that is publicly
+documented (and with an implementation available to the public in
+source code form), and must require no special password or key for
+unpacking, reading or copying.
+
+#### 7. Additional Terms.
+
+"Additional permissions" are terms that supplement the terms of this
+License by making exceptions from one or more of its conditions.
+Additional permissions that are applicable to the entire Program shall
+be treated as though they were included in this License, to the extent
+that they are valid under applicable law. If additional permissions
+apply only to part of the Program, that part may be used separately
+under those permissions, but the entire Program remains governed by
+this License without regard to the additional permissions.
+
+When you convey a copy of a covered work, you may at your option
+remove any additional permissions from that copy, or from any part of
+it. (Additional permissions may be written to require their own
+removal in certain cases when you modify the work.) You may place
+additional permissions on material, added by you to a covered work,
+for which you have or can give appropriate copyright permission.
+
+Notwithstanding any other provision of this License, for material you
+add to a covered work, you may (if authorized by the copyright holders
+of that material) supplement the terms of this License with terms:
+
+-   a) Disclaiming warranty or limiting liability differently from the
+    terms of sections 15 and 16 of this License; or
+-   b) Requiring preservation of specified reasonable legal notices or
+    author attributions in that material or in the Appropriate Legal
+    Notices displayed by works containing it; or
+-   c) Prohibiting misrepresentation of the origin of that material,
+    or requiring that modified versions of such material be marked in
+    reasonable ways as different from the original version; or
+-   d) Limiting the use for publicity purposes of names of licensors
+    or authors of the material; or
+-   e) Declining to grant rights under trademark law for use of some
+    trade names, trademarks, or service marks; or
+-   f) Requiring indemnification of licensors and authors of that
+    material by anyone who conveys the material (or modified versions
+    of it) with contractual assumptions of liability to the recipient,
+    for any liability that these contractual assumptions directly
+    impose on those licensors and authors.
+
+All other non-permissive additional terms are considered "further
+restrictions" within the meaning of section 10. If the Program as you
+received it, or any part of it, contains a notice stating that it is
+governed by this License along with a term that is a further
+restriction, you may remove that term. If a license document contains
+a further restriction but permits relicensing or conveying under this
+License, you may add to a covered work material governed by the terms
+of that license document, provided that the further restriction does
+not survive such relicensing or conveying.
+
+If you add terms to a covered work in accord with this section, you
+must place, in the relevant source files, a statement of the
+additional terms that apply to those files, or a notice indicating
+where to find the applicable terms.
+
+Additional terms, permissive or non-permissive, may be stated in the
+form of a separately written license, or stated as exceptions; the
+above requirements apply either way.
+
+#### 8. Termination.
+
+You may not propagate or modify a covered work except as expressly
+provided under this License. Any attempt otherwise to propagate or
+modify it is void, and will automatically terminate your rights under
+this License (including any patent licenses granted under the third
+paragraph of section 11).
+
+However, if you cease all violation of this License, then your license
+from a particular copyright holder is reinstated (a) provisionally,
+unless and until the copyright holder explicitly and finally
+terminates your license, and (b) permanently, if the copyright holder
+fails to notify you of the violation by some reasonable means prior to
+60 days after the cessation.
+
+Moreover, your license from a particular copyright holder is
+reinstated permanently if the copyright holder notifies you of the
+violation by some reasonable means, this is the first time you have
+received notice of violation of this License (for any work) from that
+copyright holder, and you cure the violation prior to 30 days after
+your receipt of the notice.
+
+Termination of your rights under this section does not terminate the
+licenses of parties who have received copies or rights from you under
+this License. If your rights have been terminated and not permanently
+reinstated, you do not qualify to receive new licenses for the same
+material under section 10.
+
+#### 9. Acceptance Not Required for Having Copies.
+
+You are not required to accept this License in order to receive or run
+a copy of the Program. Ancillary propagation of a covered work
+occurring solely as a consequence of using peer-to-peer transmission
+to receive a copy likewise does not require acceptance. However,
+nothing other than this License grants you permission to propagate or
+modify any covered work. These actions infringe copyright if you do
+not accept this License. Therefore, by modifying or propagating a
+covered work, you indicate your acceptance of this License to do so.
+
+#### 10. Automatic Licensing of Downstream Recipients.
+
+Each time you convey a covered work, the recipient automatically
+receives a license from the original licensors, to run, modify and
+propagate that work, subject to this License. You are not responsible
+for enforcing compliance by third parties with this License.
+
+An "entity transaction" is a transaction transferring control of an
+organization, or substantially all assets of one, or subdividing an
+organization, or merging organizations. If propagation of a covered
+work results from an entity transaction, each party to that
+transaction who receives a copy of the work also receives whatever
+licenses to the work the party's predecessor in interest had or could
+give under the previous paragraph, plus a right to possession of the
+Corresponding Source of the work from the predecessor in interest, if
+the predecessor has it or can get it with reasonable efforts.
+
+You may not impose any further restrictions on the exercise of the
+rights granted or affirmed under this License. For example, you may
+not impose a license fee, royalty, or other charge for exercise of
+rights granted under this License, and you may not initiate litigation
+(including a cross-claim or counterclaim in a lawsuit) alleging that
+any patent claim is infringed by making, using, selling, offering for
+sale, or importing the Program or any portion of it.
+
+#### 11. Patents.
+
+A "contributor" is a copyright holder who authorizes use under this
+License of the Program or a work on which the Program is based. The
+work thus licensed is called the contributor's "contributor version".
+
+A contributor's "essential patent claims" are all patent claims owned
+or controlled by the contributor, whether already acquired or
+hereafter acquired, that would be infringed by some manner, permitted
+by this License, of making, using, or selling its contributor version,
+but do not include claims that would be infringed only as a
+consequence of further modification of the contributor version. For
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+license was granted, prior to 28 March 2007.
+
+Nothing in this License shall be construed as excluding or limiting
+any implied license or other defenses to infringement that may
+otherwise be available to you under applicable patent law.
+
+#### 12. No Surrender of Others' Freedom.
+
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+#### 13. Use with the GNU Affero General Public License.
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+#### 16. Limitation of Liability.
+
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+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES
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+PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
+
+#### 17. Interpretation of Sections 15 and 16.
+
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+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+END OF TERMS AND CONDITIONS
+
+### How to Apply These Terms to Your New Programs
+
+If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these
+terms.
+
+To do so, attach the following notices to the program. It is safest to
+attach them to the start of each source file to most effectively state
+the exclusion of warranty; and each file should have at least the
+"copyright" line and a pointer to where the full notice is found.
+
+        <one line to give the program's name and a brief idea of what it does.>
+        Copyright (C) <year>  <name of author>
+
+        This program is free software: you can redistribute it and/or modify
+        it under the terms of the GNU General Public License as published by
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+        (at your option) any later version.
+
+        This program is distributed in the hope that it will be useful,
+        but WITHOUT ANY WARRANTY; without even the implied warranty of
+        MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+        GNU General Public License for more details.
+
+        You should have received a copy of the GNU General Public License
+        along with this program.  If not, see <https://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper
+mail.
+
+If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+        <program>  Copyright (C) <year>  <name of author>
+        This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+        This is free software, and you are welcome to redistribute it
+        under certain conditions; type `show c' for details.
+
+The hypothetical commands \`show w' and \`show c' should show the
+appropriate parts of the General Public License. Of course, your
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+use an "about box".
+
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+school, if any, to sign a "copyright disclaimer" for the program, if
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+
+The GNU General Public License does not permit incorporating your
+program into proprietary programs. If your program is a subroutine
+library, you may consider it more useful to permit linking proprietary
+applications with the library. If this is what you want to do, use the
+GNU Lesser General Public License instead of this License. But first,
+please read <https://www.gnu.org/licenses/why-not-lgpl.html>.
diff --git a/README.md b/README.md
--- a/README.md
+++ b/README.md
@@ -1,140 +1,141 @@
-# ``finitary-derive``
-
-## What's this all about, then?
-
-Have you ever written an ``Unbox`` instance for a user-defined type? I hope not,
-because it's a [uniquely tedious chore][1]. If your type is more complex, this
-can be difficult, fiddly, and frustrating. ``Storable`` is not much better. This
-is the kind of 'work' that we as Haskellers ought not to put up with.
-
-Now, you don't have to! As long as your type is [``Finitary``][2], you can now
-get ``Unbox`` and ``Storable`` (as well as a whole bunch of other) instances 
-_almost_ automagically:
-
-```haskell
-{-# LANGUAGE DeriveAnyClass #-}
-{-# LANGUAGE DeriveGeneric #-}
-{-# LANGUAGE DerivingVia #-}
-
-import Data.Finitary
-import Data.Finitary.Finiteness
-import Data.Finitary.PackInto
-import Data.Word
-import Data.Hashable
-
-import qualified Data.Vector.Unboxed as VU
-import qualified Data.Vector.Storable as VS
-
-data Foo = Bar | Baz (Word8, Word8) | Quux Word16
-  deriving (Eq, Generic, Finitary)
-  deriving (Ord, Bounded, Hashable, NFData, Binary) via (Finiteness Foo)
-
-someVector :: VU.Vector (PackInto Foo Word64)
-someVector = VU.fromList . fmap Packed $ [Bar, Baz 0x0 0xf, Quux 0x134]
-
-someStorableVector :: VS.Vector (PackInto Foo Word64)
-someStorableVector = VS.fromList . fmap Packed $ [Bar, Baz 0x0 0xf, Quux 0x134]
-```
-
-If you don't have access to ``DerivingVia``, you can still get the benefits of
-this library -- just use ``Finitary a`` instead of ``a``. As it is a ``newtype``, 
-you can ``coerce`` through it if you care about efficiency.
-
-## What's the deal with ``Unbox`` and ``Storable`` exactly? What's with all the ``Pack`` types?
-
-Essentially, being ``Finitary`` means that there's a finite set of indexes, one
-for each inhabitant. That means we can essentially represent any inhabitant as a
-fixed-length number. It's on the basis of this that we can 'magic up'
-``Storable`` and ``Unbox``.
-
-However, how we _represent_ this fixed-length number isn't immediately obvious.
-We have a couple of options:
-
-- A string of bits
-- A string of bytes
-- An array of machine words
-
-Additionally, if we have _another_ finitary type whose cardinality is not
-smaller, we could potentially 'borrow' its instances as well. Which of these
-choices is appropriate isn't obvious in general: it depends on whether you care
-about space or speed, the cardinality of the type, and a bunch of other things
-too. As we believe that the best people to judge tradeoffs like these are the
-people using our library, we provide _all_ of these options for you to choose
-from, so that you can choose the one that best suits you.
-
-## So... what's the difference exactly?
-
-``PackBits`` represents indexes as strings of bits. This is the most compact
-representation possible (honestly, [maths says so][6]), but the least efficient, 
-as accessing individual bits is slower on most architectures than whole bytes or words.
-Unless you've got large ``Vector``s, you probably don't need this encoding, but
-if space is at an absolute premium, this is the best choice. 
-
-``PackBytes`` instead represents indexes as byte strings. This is a more
-efficient choice than a string of bits, but can still be slow for architectures
-which prefer whole-word access. It's also fairly compact, especially if your
-architecture has big ``Word``s.
-
-``PackWords`` represents indexes as fixed-length arrays of ``Word``s. This is
-the most efficient encoding from the point of view of random reads and writes,
-but will likely waste a lot of space, unless your type is _extremely_ large (as
-in, multiple copies of ``Word`` large).  
-
-Lastly, ``PackInto`` lets you choose another finitary type whose instances you
-want to 'borrow', and will use that type as a representation. This is the most
-flexible, and should be preferred whenever possible. However, it requires that a
-type of appropriate cardinality (at least as big as the one you want to encode)
-exists, and has the appropriate instances. 
-
-## Why can't I ``DerivingVia`` through these ``Pack`` types?
-
-For ``Unbox``, the short answer is 'role restrictions on unboxed vectors'. If
-you want a more detailed explanation, check out the [GHC wiki on roles][3], as
-well as the [implementation of ``Data.Vector.Unboxed``][4]. You might also want
-to check out [stuff about data families][5]. 
-
-Additionally, there is some tension in the design. We could have made one of two
-choices: either define ``Pack`` types as transparent ``newtype``s, and encode or
-decode whenever a type class method required it; or define ``Pack`` types as
-opaque, and encode or decode only when the values were constructed or
-deconstructed. Ultimately, we went with the second option, as it makes the
-occurences of encodes and decodes explicit to the user. Had we gone with the
-first choice, it would be unclear where encodes and decodes occur, especially
-when using functions built from type class methods. We believe this clarity is
-worth the inability to use ``DerivingVia`` to define ``Storable`` instances.
-
-## Why do ``PackBytes``, ``PackWords`` and ``PackInto`` have ``Storable`` instances, but not ``PackBits``?
-
-Because it's not clear what this instance should look like. Let's suppose you want to bit-pack a
-type ``Giraffe`` with cardinality 11 - what should ``sizeOf`` for ``PackBits
-Giraffe`` be? How about ``alignment``? The only obvious solution is padding, but
-in this case, you might as well use ``PackBytes``, ``PackWords`` or
-``PackInto``, since then you'll at least know what you're getting, and are
-explicit about it.
-
-## Sounds good! Can I use it?
-
-Certainly - we've tested on the following (all x86_64 only):
-
-* __GNU/Linux:__ GHC 8.4.4, 8.6.5, 8.8.1
-* __macOS:__ GHC 8.8.1
-
-If you would like support for any additional GHC versions, let us know.
-Unfortunately, while the library will _build_ on 8.4.4, due to
-``hedgehog-classes`` being limited to 8.6+, tests cannot be run on this version.
-
-If you build and use this library successfully on any other platforms, we'd like
-to know too - it'd be beneficial even if nothing breaks, and _especially_ if
-something does.
-
-## License
-
-This library is under the GNU General Public License, version 3 or later (SPDX
-code ``GPL-3.0-or-later``). For more details, see the ``LICENSE.md`` file.
-
-[1]: http://hackage.haskell.org/package/vector-0.12.0.3/docs/Data-Vector-Unboxed.html
-[2]: https://hackage.haskell.org/package/finitary-1.0.0.1/docs/Data-Finitary.html#t:Finitary
-[3]: https://gitlab.haskell.org/ghc/ghc/wikis/roles
-[4]: http://hackage.haskell.org/package/vector-0.12.0.3/docs/src/Data.Vector.Unboxed.Base.html
-[5]: https://wiki.haskell.org/GHC/Type_families
-[6]: https://en.wikipedia.org/wiki/Kraft%E2%80%93McMillan_inequality
+# ``finitary-derive``
+
+## What's this all about, then?
+
+Have you ever written an ``Unbox`` instance for a user-defined type? I hope not,
+because it's a [uniquely tedious chore][1]. If your type is more complex, this
+can be difficult, fiddly, and frustrating. ``Storable`` is not much better. This
+is the kind of 'work' that we as Haskellers ought not to put up with.
+
+Now, you don't have to! As long as your type is [``Finitary``][2], you can now
+get ``Unbox`` and ``Storable`` (as well as a whole bunch of other) instances 
+_almost_ automagically:
+
+```haskell
+{-# LANGUAGE DeriveAnyClass #-}
+{-# LANGUAGE DeriveGeneric #-}
+{-# LANGUAGE DerivingVia #-}
+
+import Data.Finitary
+import Data.Finitary.Finiteness
+import Data.Finitary.PackInto
+import Data.Word
+import Data.Hashable
+
+import qualified Data.Vector.Unboxed as VU
+import qualified Data.Vector.Storable as VS
+
+data Foo = Bar | Baz (Word8, Word8) | Quux Word16
+  deriving (Eq, Generic, Finitary)
+  deriving (Ord, Bounded, Hashable, NFData, Binary) via (Finiteness Foo)
+
+someVector :: VU.Vector (PackInto Foo Word64)
+someVector = VU.fromList . fmap Packed $ [Bar, Baz 0x0 0xf, Quux 0x134]
+
+someStorableVector :: VS.Vector (PackInto Foo Word64)
+someStorableVector = VS.fromList . fmap Packed $ [Bar, Baz 0x0 0xf, Quux 0x134]
+```
+
+If you don't have access to ``DerivingVia``, you can still get the benefits of
+this library -- just use ``Finitary a`` instead of ``a``. As it is a ``newtype``, 
+you can ``coerce`` through it if you care about efficiency.
+
+## What's the deal with ``Unbox`` and ``Storable`` exactly? What's with all the ``Pack`` types?
+
+Essentially, being ``Finitary`` means that there's a finite set of indexes, one
+for each inhabitant. That means we can essentially represent any inhabitant as a
+fixed-length number. It's on the basis of this that we can 'magic up'
+``Storable`` and ``Unbox``.
+
+However, how we _represent_ this fixed-length number isn't immediately obvious.
+We have a couple of options:
+
+- A string of bits
+- A string of bytes
+- An array of machine words
+
+Additionally, if we have _another_ finitary type whose cardinality is not
+smaller, we could potentially 'borrow' its instances as well. Which of these
+choices is appropriate isn't obvious in general: it depends on whether you care
+about space or speed, the cardinality of the type, and a bunch of other things
+too. As we believe that the best people to judge tradeoffs like these are the
+people using our library, we provide _all_ of these options for you to choose
+from, so that you can choose the one that best suits you.
+
+## So... what's the difference exactly?
+
+``PackBits`` represents indexes as strings of bits. This is the most compact
+representation possible (honestly, [maths says so][6]), but the least efficient, 
+as accessing individual bits is slower on most architectures than whole bytes or words.
+Unless you've got large ``Vector``s, you probably don't need this encoding, but
+if space is at an absolute premium, this is the best choice. 
+
+``PackBytes`` instead represents indexes as byte strings. This is a more
+efficient choice than a string of bits, but can still be slow for architectures
+which prefer whole-word access. It's also fairly compact, especially if your
+architecture has big ``Word``s.
+
+``PackWords`` represents indexes as fixed-length arrays of ``Word``s. This is
+the most efficient encoding from the point of view of random reads and writes,
+but will likely waste a lot of space, unless your type is _extremely_ large (as
+in, multiple copies of ``Word`` large).  
+
+Lastly, ``PackInto`` lets you choose another finitary type whose instances you
+want to 'borrow', and will use that type as a representation. This is the most
+flexible, and should be preferred whenever possible. However, it requires that a
+type of appropriate cardinality (at least as big as the one you want to encode)
+exists, and has the appropriate instances. 
+
+## Why can't I ``DerivingVia`` through these ``Pack`` types?
+
+For ``Unbox``, the short answer is 'role restrictions on unboxed vectors'. If
+you want a more detailed explanation, check out the [GHC wiki on roles][3], as
+well as the [implementation of ``Data.Vector.Unboxed``][4]. You might also want
+to check out [stuff about data families][5]. 
+
+Additionally, there is some tension in the design. We could have made one of two
+choices: either define ``Pack`` types as transparent ``newtype``s, and encode or
+decode whenever a type class method required it; or define ``Pack`` types as
+opaque, and encode or decode only when the values were constructed or
+deconstructed. Ultimately, we went with the second option, as it makes the
+occurences of encodes and decodes explicit to the user. Had we gone with the
+first choice, it would be unclear where encodes and decodes occur, especially
+when using functions built from type class methods. We believe this clarity is
+worth the inability to use ``DerivingVia`` to define ``Storable`` instances.
+
+## Why do ``PackBytes``, ``PackWords`` and ``PackInto`` have ``Storable`` instances, but not ``PackBits``?
+
+Because it's not clear what this instance should look like. Let's suppose you want to bit-pack a
+type ``Giraffe`` with cardinality 11 - what should ``sizeOf`` for ``PackBits
+Giraffe`` be? How about ``alignment``? The only obvious solution is padding, but
+in this case, you might as well use ``PackBytes``, ``PackWords`` or
+``PackInto``, since then you'll at least know what you're getting, and are
+explicit about it.
+
+## Sounds good! Can I use it?
+
+Certainly - we've tested on the following (all x86_64 only):
+
+* __GNU/Linux:__ GHC 8.4.4, 8.6.5, 8.8.1
+* __macOS:__ GHC 8.8.1
+* __Windows:__ GHC 8.10.4, 9.0.1
+
+If you would like support for any additional GHC versions, let us know.
+Unfortunately, while the library will _build_ on 8.4.4, due to
+``hedgehog-classes`` being limited to 8.6+, tests cannot be run on this version.
+
+If you build and use this library successfully on any other platforms, we'd like
+to know too - it'd be beneficial even if nothing breaks, and _especially_ if
+something does.
+
+## License
+
+This library is under the GNU General Public License, version 3 or later (SPDX
+code ``GPL-3.0-or-later``). For more details, see the ``LICENSE.md`` file.
+
+[1]: http://hackage.haskell.org/package/vector-0.12.0.3/docs/Data-Vector-Unboxed.html
+[2]: https://hackage.haskell.org/package/finitary-1.0.0.1/docs/Data-Finitary.html#t:Finitary
+[3]: https://gitlab.haskell.org/ghc/ghc/wikis/roles
+[4]: http://hackage.haskell.org/package/vector-0.12.0.3/docs/src/Data.Vector.Unboxed.Base.html
+[5]: https://wiki.haskell.org/GHC/Type_families
+[6]: https://en.wikipedia.org/wiki/Kraft%E2%80%93McMillan_inequality
diff --git a/Setup.hs b/Setup.hs
--- a/Setup.hs
+++ b/Setup.hs
@@ -1,3 +1,3 @@
-import Distribution.Simple
-
-main = defaultMain
+import Distribution.Simple
+
+main = defaultMain
diff --git a/finitary-derive.cabal b/finitary-derive.cabal
--- a/finitary-derive.cabal
+++ b/finitary-derive.cabal
@@ -1,66 +1,68 @@
-cabal-version:         2.2
-name:                  finitary-derive
--- PVP summary:        +-+------- breaking API changes
---                     | | +----- non-breaking API additions
---                     | | | +--- code changes with no API change
-version:               2.2.0.0
-synopsis:              Flexible and easy deriving of type classes for finitary
-                       types.
-description:           Provides a collection of wrappers, allowing you to easily
-                       define (among others) Unbox, Storable, Hashable and
-                       Binary instances for finitary types with flexibility in
-                       terms of representation and efficiency. Never write an
-                       Unbox instance by hand again!
-homepage:              https://notabug.org/koz.ross/finitary-derive
-license:               GPL-3.0-or-later
-license-file:          LICENSE.md
-author:                Koz Ross
-maintainer:            koz.ross@retro-freedom.nz
-copyright:             (C) Koz Ross 2019
-category:              Data
-tested-with:           GHC == 8.4.4,
-                       GHC == 8.6.5,
-                       GHC == 8.8.1
-build-type:            Simple
-extra-source-files:    CHANGELOG.md,
-                       README.md
-
-library
-  exposed-modules:     Data.Finitary.Finiteness,
-                       Data.Finitary.PackBits,
-                       Data.Finitary.PackBits.Unsafe,
-                       Data.Finitary.PackBytes,
-                       Data.Finitary.PackWords,
-                       Data.Finitary.PackInto
-  build-depends:       base >= 4.11 && < 4.14,
-                       finitary >= 1.2.0.0 && < 1.3.0.0,
-                       vector >= 0.12.0.3 && < 0.13.0.0,
-                       coercible-utils >= 0.0.0 && < 0.1.0,
-                       finite-typelits >= 0.1.4.2 && < 0.2.0.0,
-                       binary >= 0.8.5.1 && < 0.9.0.0,
-                       deepseq >= 1.4.3.0 && < 1.5.0.0,
-                       hashable >= 1.3.0.0 && < 1.4.0.0,
-                       ghc-typelits-extra >= 0.3.1 && < 0.4.0,
-                       ghc-typelits-knownnat >= 0.7 && < 0.8,
-                       vector-instances >= 3.4 && < 3.5,
-                       transformers >= 0.5.5.0 && < 0.6.0.0,
-                       bitvec >= 1.0.2.0 && < 1.1.0.0,
-                       vector-binary-instances >= 0.2.5.1 && < 0.3.0.0
-  hs-source-dirs:      src
-  default-language:    Haskell2010
-
-test-suite tests
-  type:                exitcode-stdio-1.0
-  main-is:             Main.hs
-  ghc-options:         -O2 -threaded -rtsopts -with-rtsopts=-N
-  hs-source-dirs:      test
-  build-depends:       base >= 4.12 && < 4.14,
-                       hedgehog >= 1.0.1 && < 1.1,
-                       hedgehog-classes >= 0.2.4 && < 0.3.0,
-                       finitary-derive,
-                       finitary,
-                       finite-typelits,
-                       hashable,
-                       binary,
-                       deepseq
-  default-language:    Haskell2010
+cabal-version:         2.2
+name:                  finitary-derive
+-- PVP summary:        +-+------- breaking API changes
+--                     | | +----- non-breaking API additions
+--                     | | | +--- code changes with no API change
+version:               2.2.0.1
+synopsis:              Flexible and easy deriving of type classes for finitary
+                       types.
+description:           Provides a collection of wrappers, allowing you to easily
+                       define (among others) Unbox, Storable, Hashable and
+                       Binary instances for finitary types with flexibility in
+                       terms of representation and efficiency. Never write an
+                       Unbox instance by hand again!
+homepage:              https://notabug.org/sheaf/finitary-derive
+license:               GPL-3.0-or-later
+license-file:          LICENSE.md
+author:                Koz Ross
+maintainer:            Sam Derbyshire
+copyright:             (C) Koz Ross 2019
+category:              Data
+tested-with:           GHC == 8.4.4,
+                       GHC == 8.6.5,
+                       GHC == 8.8.1,
+                       GHC == 8.10.4,
+                       GHC == 9.0.1
+build-type:            Simple
+extra-source-files:    CHANGELOG.md,
+                       README.md
+
+library
+  exposed-modules:     Data.Finitary.Finiteness,
+                       Data.Finitary.PackBits,
+                       Data.Finitary.PackBits.Unsafe,
+                       Data.Finitary.PackBytes,
+                       Data.Finitary.PackWords,
+                       Data.Finitary.PackInto
+  build-depends:       base >= 4.11 && < 4.16,
+                       finitary >= 1.2.0.0 && < 2.2,
+                       vector >= 0.12.0.3 && < 0.13.0.0,
+                       coercible-utils >= 0.0.0 && < 0.1.0,
+                       finite-typelits >= 0.1.4.2 && < 0.2.0.0,
+                       binary >= 0.8.5.1 && < 0.11.0.0,
+                       deepseq >= 1.4.3.0 && < 1.5.0.0,
+                       hashable >= 1.3.0.0 && < 1.4.0.0,
+                       ghc-typelits-extra >= 0.3.1 && < 0.5,
+                       ghc-typelits-knownnat >= 0.7 && < 0.8,
+                       vector-instances >= 3.4 && < 3.5,
+                       transformers >= 0.5.5.0 && < 0.6.0.0,
+                       bitvec >= 1.0.2.0 && < 1.2.0.0,
+                       vector-binary-instances >= 0.2.5.1 && < 0.3.0.0
+  hs-source-dirs:      src
+  default-language:    Haskell2010
+
+test-suite tests
+  type:                exitcode-stdio-1.0
+  main-is:             Main.hs
+  ghc-options:         -O2 -threaded -rtsopts -with-rtsopts=-N
+  hs-source-dirs:      test
+  build-depends:       base >= 4.12 && < 4.16,
+                       hedgehog >= 1.0.1 && < 1.1,
+                       hedgehog-classes >= 0.2.4 && < 0.3.0,
+                       finitary-derive,
+                       finitary,
+                       finite-typelits,
+                       hashable,
+                       binary,
+                       deepseq
+  default-language:    Haskell2010
diff --git a/src/Data/Finitary/Finiteness.hs b/src/Data/Finitary/Finiteness.hs
--- a/src/Data/Finitary/Finiteness.hs
+++ b/src/Data/Finitary/Finiteness.hs
@@ -1,145 +1,144 @@
-{-
- - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
- -
- - This program is free software: you can redistribute it and/or modify
- - it under the terms of the GNU General Public License as published by
- - the Free Software Foundation, either version 3 of the License, or
- - (at your option) any later version.
- -
- - This program is distributed in the hope that it will be useful,
- - but WITHOUT ANY WARRANTY; without even the implied warranty of
- - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- - GNU General Public License for more details.
- -
- - You should have received a copy of the GNU General Public License
- - along with this program.  If not, see <http://www.gnu.org/licenses/>.
- -}
-
-{-# LANGUAGE TypeInType #-}
-{-# LANGUAGE DeriveDataTypeable #-}
-{-# LANGUAGE GeneralizedNewtypeDeriving #-}
-{-# LANGUAGE DeriveFunctor #-}
-{-# LANGUAGE Trustworthy #-}
-{-# LANGUAGE TypeOperators #-}
-{-# LANGUAGE TypeFamilies #-}
-{-# LANGUAGE TypeApplications #-}
-
--- |
--- Module:        Data.Finitary.Finiteness
--- Description:   Newtype wrapper for deriving various typeclasses for
---                @Finitary@ types.
--- Copyright:     (C) Koz Ross 2019
--- License:       GPL version 3.0 or later
--- Maintainer:    koz.ross@retro-freedom.nz
--- Stability:     Experimental
--- Portability:   GHC only
---
--- Knowing that a type @a@ is an instance of @Finitary@ gives us the knowledge
--- that there is an isomorphism between @a@ and @Finite n@ for some @KnownNat
--- n@. This gives us a lot of information, which we can exploit to automagically
--- derive a range of type class instances.
---
--- 'Finiteness' is a @newtype@ wrapper providing this functionality, while
--- 're-exporting' as many type class instances of the underlying type as
--- possible. It is designed for use with @DerivingVia@ - an example of use:
---
--- > {-# LANGUAGE DerivingVia #-}
--- > {-# LANGUAGE DeriveAnyClass #-}
--- > {-# LANGUAGE DeriveGeneric #-}
--- >
--- > import GHC.Generics
--- > import Data.Finitary
--- > import Data.Finitary.Finiteness
--- > import Data.Word
--- > import Control.DeepSeq
--- > import Data.Hashable
--- > import Data.Binary
--- > 
--- > data Foo = Bar | Baz (Word8, Word8) | Quux Word16
--- >  deriving (Eq, Generic, Finitary)
--- >  deriving (Ord, Bounded, NFData, Hashable, Binary) via (Finiteness Foo)
---
--- Currently, the following type class instances can be derived in this manner:
---
--- * 'Ord'
--- * 'Bounded'
--- * 'NFData'
--- * 'Hashable'
--- * 'Binary'
---
--- Additionally, 'Finiteness' \'forwards\' definitions of the following type
--- classes:
---
--- * 'Eq'
--- * 'Show'
--- * 'Read'
--- * 'Typeable'
--- * 'Data'
--- * 'Semigroup'
--- * 'Monoid'
-module Data.Finitary.Finiteness 
-(
-  Finiteness(..)
-) where
-
-import GHC.TypeNats
-import Data.Typeable (Typeable)
-import Data.Data (Data)
-import Data.Finitary (Finitary(..))
-import Data.Ord (comparing)
-import Control.DeepSeq (NFData(..))
-import Data.Hashable (Hashable(..))
-import Data.Binary (Binary(..))
-
--- | Essentially 'Data.Functor.Identity' with a different name. Named this way due to the
--- wordplay you get from use with @DerivingVia@.
-newtype Finiteness a = Finiteness { unFiniteness :: a }
-  deriving (Eq, Show, Read, Typeable, Data, Functor, Semigroup, Monoid)
-
--- | 'Finiteness' merely replicates the @Finitary@ behaviour of the underlying
--- type.
-instance (Finitary a) => Finitary (Finiteness a) where
-  type Cardinality (Finiteness a) = Cardinality a
-  {-# INLINE fromFinite #-}
-  fromFinite = Finiteness . fromFinite
-  {-# INLINE toFinite #-}
-  toFinite = toFinite . unFiniteness
-  {-# INLINE start #-}
-  start = Finiteness start
-  {-# INLINE end #-}
-  end = Finiteness end
-  {-# INLINE previous #-}
-  previous = fmap Finiteness . previous . unFiniteness
-  {-# INLINE next #-}
-  next = fmap Finiteness . next . unFiniteness
-
--- | 'Ord' can be derived by deferring to the order on @Finite (Cardinality a)@.
-instance (Finitary a) => Ord (Finiteness a) where
-  {-# INLINE compare #-}
-  compare (Finiteness x) (Finiteness y) = comparing toFinite x y
-
--- | Since any inhabited 'Finitary' type is also 'Bounded', we can forward this
--- definition also.
-instance (Finitary a, 1 <= Cardinality a) => Bounded (Finiteness a) where
-  {-# INLINE minBound #-}
-  minBound = Finiteness start
-  {-# INLINE maxBound #-}
-  maxBound = Finiteness end
-
--- | We can force evaluation of a 'Finitary' type by converting it to its index.
-instance (Finitary a) => NFData (Finiteness a) where
-  {-# INLINE rnf #-}
-  rnf = rnf . toFinite . unFiniteness
-
--- | Any 'Finitary' type can be hashed by hashing its index.
-instance (Finitary a) => Hashable (Finiteness a) where 
-  {-# INLINE hashWithSalt #-}
-  hashWithSalt salt = hashWithSalt salt . fromIntegral @_ @Integer . toFinite . unFiniteness
-
--- | Any 'Finitary' type can be converted to a binary representation by
--- converting its index.
-instance (Finitary a) => Binary (Finiteness a) where
-  {-# INLINE put #-}
-  put = put . fromIntegral @_ @Integer . toFinite . unFiniteness
-  {-# INLINE get #-}
-  get = Finiteness . fromFinite . fromIntegral @Integer <$> get
+{-
+ - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
+ -
+ - This program is free software: you can redistribute it and/or modify
+ - it under the terms of the GNU General Public License as published by
+ - the Free Software Foundation, either version 3 of the License, or
+ - (at your option) any later version.
+ -
+ - This program is distributed in the hope that it will be useful,
+ - but WITHOUT ANY WARRANTY; without even the implied warranty of
+ - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ - GNU General Public License for more details.
+ -
+ - You should have received a copy of the GNU General Public License
+ - along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ -}
+
+{-# LANGUAGE TypeInType #-}
+{-# LANGUAGE DeriveDataTypeable #-}
+{-# LANGUAGE GeneralizedNewtypeDeriving #-}
+{-# LANGUAGE DeriveFunctor #-}
+{-# LANGUAGE Trustworthy #-}
+{-# LANGUAGE TypeOperators #-}
+{-# LANGUAGE TypeFamilies #-}
+{-# LANGUAGE TypeApplications #-}
+
+-- |
+-- Module:        Data.Finitary.Finiteness
+-- Description:   Newtype wrapper for deriving various typeclasses for
+--                @Finitary@ types.
+-- Copyright:     (C) Koz Ross 2019
+-- License:       GPL version 3.0 or later
+-- Stability:     Experimental
+-- Portability:   GHC only
+--
+-- Knowing that a type @a@ is an instance of @Finitary@ gives us the knowledge
+-- that there is an isomorphism between @a@ and @Finite n@ for some @KnownNat
+-- n@. This gives us a lot of information, which we can exploit to automagically
+-- derive a range of type class instances.
+--
+-- 'Finiteness' is a @newtype@ wrapper providing this functionality, while
+-- 're-exporting' as many type class instances of the underlying type as
+-- possible. It is designed for use with @DerivingVia@ - an example of use:
+--
+-- > {-# LANGUAGE DerivingVia #-}
+-- > {-# LANGUAGE DeriveAnyClass #-}
+-- > {-# LANGUAGE DeriveGeneric #-}
+-- >
+-- > import GHC.Generics
+-- > import Data.Finitary
+-- > import Data.Finitary.Finiteness
+-- > import Data.Word
+-- > import Control.DeepSeq
+-- > import Data.Hashable
+-- > import Data.Binary
+-- > 
+-- > data Foo = Bar | Baz (Word8, Word8) | Quux Word16
+-- >  deriving (Eq, Generic, Finitary)
+-- >  deriving (Ord, Bounded, NFData, Hashable, Binary) via (Finiteness Foo)
+--
+-- Currently, the following type class instances can be derived in this manner:
+--
+-- * 'Ord'
+-- * 'Bounded'
+-- * 'NFData'
+-- * 'Hashable'
+-- * 'Binary'
+--
+-- Additionally, 'Finiteness' \'forwards\' definitions of the following type
+-- classes:
+--
+-- * 'Eq'
+-- * 'Show'
+-- * 'Read'
+-- * 'Typeable'
+-- * 'Data'
+-- * 'Semigroup'
+-- * 'Monoid'
+module Data.Finitary.Finiteness 
+(
+  Finiteness(..)
+) where
+
+import GHC.TypeNats
+import Data.Typeable (Typeable)
+import Data.Data (Data)
+import Data.Finitary (Finitary(..))
+import Data.Ord (comparing)
+import Control.DeepSeq (NFData(..))
+import Data.Hashable (Hashable(..))
+import Data.Binary (Binary(..))
+
+-- | Essentially 'Data.Functor.Identity' with a different name. Named this way due to the
+-- wordplay you get from use with @DerivingVia@.
+newtype Finiteness a = Finiteness { unFiniteness :: a }
+  deriving (Eq, Show, Read, Typeable, Data, Functor, Semigroup, Monoid)
+
+-- | 'Finiteness' merely replicates the @Finitary@ behaviour of the underlying
+-- type.
+instance (Finitary a) => Finitary (Finiteness a) where
+  type Cardinality (Finiteness a) = Cardinality a
+  {-# INLINE fromFinite #-}
+  fromFinite = Finiteness . fromFinite
+  {-# INLINE toFinite #-}
+  toFinite = toFinite . unFiniteness
+  {-# INLINE start #-}
+  start = Finiteness start
+  {-# INLINE end #-}
+  end = Finiteness end
+  {-# INLINE previous #-}
+  previous = fmap Finiteness . previous . unFiniteness
+  {-# INLINE next #-}
+  next = fmap Finiteness . next . unFiniteness
+
+-- | 'Ord' can be derived by deferring to the order on @Finite (Cardinality a)@.
+instance (Finitary a) => Ord (Finiteness a) where
+  {-# INLINE compare #-}
+  compare (Finiteness x) (Finiteness y) = comparing toFinite x y
+
+-- | Since any inhabited 'Finitary' type is also 'Bounded', we can forward this
+-- definition also.
+instance (Finitary a, 1 <= Cardinality a) => Bounded (Finiteness a) where
+  {-# INLINE minBound #-}
+  minBound = Finiteness start
+  {-# INLINE maxBound #-}
+  maxBound = Finiteness end
+
+-- | We can force evaluation of a 'Finitary' type by converting it to its index.
+instance (Finitary a) => NFData (Finiteness a) where
+  {-# INLINE rnf #-}
+  rnf = rnf . toFinite . unFiniteness
+
+-- | Any 'Finitary' type can be hashed by hashing its index.
+instance (Finitary a) => Hashable (Finiteness a) where 
+  {-# INLINE hashWithSalt #-}
+  hashWithSalt salt = hashWithSalt salt . fromIntegral @_ @Integer . toFinite . unFiniteness
+
+-- | Any 'Finitary' type can be converted to a binary representation by
+-- converting its index.
+instance (Finitary a) => Binary (Finiteness a) where
+  {-# INLINE put #-}
+  put = put . fromIntegral @_ @Integer . toFinite . unFiniteness
+  {-# INLINE get #-}
+  get = Finiteness . fromFinite . fromIntegral @Integer <$> get
diff --git a/src/Data/Finitary/PackBits.hs b/src/Data/Finitary/PackBits.hs
--- a/src/Data/Finitary/PackBits.hs
+++ b/src/Data/Finitary/PackBits.hs
@@ -1,241 +1,240 @@
-{-
- - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
- -
- - This program is free software: you can redistribute it and/or modify
- - it under the terms of the GNU General Public License as published by
- - the Free Software Foundation, either version 3 of the License, or
- - (at your option) any later version.
- -
- - This program is distributed in the hope that it will be useful,
- - but WITHOUT ANY WARRANTY; without even the implied warranty of
- - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- - GNU General Public License for more details.
- -
- - You should have received a copy of the GNU General Public License
- - along with this program.  If not, see <http://www.gnu.org/licenses/>.
- -}
-
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
-
-{-# LANGUAGE ViewPatterns #-}
-{-# LANGUAGE PatternSynonyms #-}
-{-# LANGUAGE RoleAnnotations #-}
-{-# LANGUAGE AllowAmbiguousTypes #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE TypeInType #-}
-{-# LANGUAGE TypeOperators #-}
-{-# LANGUAGE TypeFamilies #-}
-{-# LANGUAGE TypeApplications #-}
-{-# LANGUAGE Trustworthy #-}
-{-# LANGUAGE MultiParamTypeClasses #-}
-{-# LANGUAGE UndecidableInstances #-}
-{-# LANGUAGE StandaloneDeriving #-}
-{-# LANGUAGE GeneralizedNewtypeDeriving #-}
-
--- |
--- Module:        Data.Finitary.PackBits
--- Description:   Scheme for bit-packing @Finitary@ types.
--- Copyright:     (C) Koz Ross 2019
--- License:       GPL version 3.0 or later
--- Maintainer:    koz.ross@retro-freedom.nz
--- Stability:     Experimental
--- Portability:   GHC only
---
--- From the [Kraft-McMillan
--- inequality](https://en.wikipedia.org/wiki/Kraft%E2%80%93McMillan_inequality)
--- and 
--- the fact that we are not able to have \'fractional\' bits, we can derive a
--- fixed-length code into a bitstring for any 'Finitary' type @a@, with code
--- length \(\lceil \log_{2}(\texttt{Cardinality a}) \rceil\) bits. This code is
--- essentially a binary representation of the index of each inhabitant of @a@.
--- On that basis, we can derive an 'VU.Unbox' instance, representing
--- the entire 'VU.Vector' as an unboxed [bit
--- array](https://en.wikipedia.org/wiki/Bit_array).
---
--- This encoding is advantageous from the point of view of space - there is no
--- tighter possible packing that preserves \(\Theta(1)\) random access and also
--- allows the full range of 'VU.Vector' operations. If you are concerned about
--- space usage above all, this is the best choice for you. 
---
--- Because access to individual bits is slower than whole bytes or words, this
--- encoding adds some overhead. Additionally, a primary advantage of bit arrays
--- (the ability to perform \'bulk\' operations on bits efficiently) is not made
--- use of here. Therefore, if speed matters more than compactness, this encoding
--- is suboptimal.
---
--- This encoding is __thread-safe__, and thus slightly slower. If you are certain 
--- that race conditions cannot occur for your code, you can gain a speed improvement 
--- by using "Data.Finitary.PackBits.Unsafe" instead.
-module Data.Finitary.PackBits 
-(
-  PackBits, pattern Packed,
-  BulkPack, exposeVector
-) where
-
-import GHC.TypeLits.Extra
-import Data.Proxy (Proxy(..))
-import Numeric.Natural (Natural)
-import GHC.TypeNats
-import CoercibleUtils (op, over, over2)
-import Data.Kind (Type)
-import Data.Hashable (Hashable(..))
-import Data.Vector.Instances ()
-import Data.Vector.Binary ()
-import Control.DeepSeq (NFData(..))
-import Data.Finitary(Finitary(..))
-import Data.Finite (Finite)
-import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
-import Data.Semigroup (Dual(..))
-
-import qualified Data.Binary as Bin
-import qualified Data.Bit.ThreadSafe as BT
-import qualified Data.Vector.Generic as VG
-import qualified Data.Vector.Generic.Mutable as VGM
-import qualified Data.Vector.Unboxed as VU
-
--- | An opaque wrapper around @a@, representing each value as a 'bit-packed'
--- encoding.
-newtype PackBits (a :: Type) = PackBits (VU.Vector BT.Bit)
-  deriving (Eq, Show)
-
-type role PackBits nominal
-
--- | To provide (something that resembles a) data constructor for 'PackBits', we
--- provide the following pattern. It can be used like any other data
--- constructor:
---
--- > import Data.Finitary.PackBits
--- >
--- > anInt :: PackBits Int
--- > anInt = Packed 10
--- >
--- > isPackedEven :: PackBits Int -> Bool
--- > isPackedEven (Packed x) = even x
---
--- __Every__ pattern match, and data constructor call, performs a
--- \(\Theta(\log_{2}(\texttt{Cardinality a}))\) encoding or decoding operation. 
--- Use with this in mind.
-pattern Packed :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackBits a
-pattern Packed x <- (unpackBits -> x)
-  where Packed x = packBits x
-
-instance Ord (PackBits a) where
-  compare (PackBits v1) (PackBits v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
-    where go input order = (order <>) . Dual . uncurry compare $ input
-
-instance NFData (PackBits a) where
-  {-# INLINE rnf #-}
-  rnf = rnf . op PackBits
-
-instance (Finitary a, 1 <= Cardinality a) => Finitary (PackBits a) where
-  type Cardinality (PackBits a) = Cardinality a
-  {-# INLINE fromFinite #-}
-  fromFinite = PackBits . intoBits
-  {-# INLINE toFinite #-}
-  toFinite = outOfBits . op PackBits
-
-instance (Finitary a, 1 <= Cardinality a) => Bounded (PackBits a) where
-  {-# INLINE minBound #-}
-  minBound = start
-  {-# INLINE maxBound #-}
-  maxBound = end
-
-newtype instance VU.MVector s (PackBits a) = MV_PackBits (VU.MVector s BT.Bit)
-
-instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackBits a) where
-  {-# INLINE basicLength #-}
-  basicLength = over MV_PackBits ((`div` bitLength @a) . VGM.basicLength)
-  {-# INLINE basicOverlaps #-}
-  basicOverlaps = over2 MV_PackBits VGM.basicOverlaps
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over MV_PackBits (VGM.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
-  {-# INLINE basicUnsafeNew #-}
-  basicUnsafeNew len = fmap MV_PackBits (VGM.basicUnsafeNew (len * bitLength @a))
-  {-# INLINE basicInitialize #-}
-  basicInitialize = VGM.basicInitialize . op MV_PackBits
-  {-# INLINE basicUnsafeRead #-}
-  basicUnsafeRead (MV_PackBits v) i = fmap PackBits . VG.freeze . VGM.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
-  {-# INLINE basicUnsafeWrite #-}
-  basicUnsafeWrite (MV_PackBits v) i (PackBits x) = let slice = VGM.unsafeSlice (i * bitLength @a) (bitLength @a) v in
-                                                      VG.unsafeCopy slice x
-
-newtype instance VU.Vector (PackBits a) = V_PackBits (VU.Vector BT.Bit)
-
-instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackBits a) where
-  {-# INLINE basicLength #-}
-  basicLength = over V_PackBits ((`div` bitLength @a) . VG.basicLength)
-  {-# INLINE basicUnsafeFreeze #-}
-  basicUnsafeFreeze = fmap V_PackBits . VG.basicUnsafeFreeze . op MV_PackBits
-  {-# INLINE basicUnsafeThaw #-}
-  basicUnsafeThaw = fmap MV_PackBits . VG.basicUnsafeThaw . op V_PackBits
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over V_PackBits (VG.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
-  {-# INLINE basicUnsafeIndexM #-}
-  basicUnsafeIndexM (V_PackBits v) i = pure . PackBits . VG.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
-
-instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackBits a)
-
--- | This wrapper provides an efficient 'Hashable' instance (hash the entire
--- underlying bit-packed vector, rather than each element individually), as well
--- as a 'Bin.Binary' instance (which stores or reads the entire blob of
--- bits \'in one go\').
-newtype BulkPack a = BulkPack { exposeVector :: VU.Vector (PackBits a) }
-  deriving (NFData)
-
-deriving instance (Finitary a, 1 <= Cardinality a) => Eq (BulkPack a)
-
-deriving instance (Finitary a, 1 <= Cardinality a) => Ord (BulkPack a)
-
-instance Hashable (BulkPack a) where
-  {-# INLINE hashWithSalt #-}
-  hashWithSalt salt = hashWithSalt salt . BT.cloneToWords . op V_PackBits . op BulkPack
-
-instance Bin.Binary (BulkPack a) where
-  {-# INLINE put #-}
-  put = Bin.put . BT.cloneToWords . op V_PackBits . op BulkPack
-  {-# INLINE get #-}
-  get = BulkPack . V_PackBits . BT.castFromWords <$> Bin.get
-
--- Helpers
-
-type BitLength a = CLog 2 (Cardinality a)
-
-{-# INLINE packBits #-}
-packBits :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackBits a
-packBits = fromFinite . toFinite
-
-{-# INLINE unpackBits #-}
-unpackBits :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  PackBits a -> a
-unpackBits = fromFinite . toFinite
-
-{-# INLINE bitLength #-}
-bitLength :: forall (a :: Type) (b :: Type) . 
-  (Finitary a, 1 <= Cardinality a, Num b) => 
-  b
-bitLength = fromIntegral . natVal $ (Proxy :: Proxy (BitLength a))
-
-{-# INLINE intoBits #-}
-intoBits :: forall (n :: Nat) .
-  (KnownNat n, 1 <= n) =>  
-  Finite n -> VU.Vector BT.Bit
-intoBits = evalState (VU.replicateM (bitLength @(Finite n)) go) . fromIntegral @_ @Natural
-  where go = do remaining <- get
-                let (d, r) = quotRem remaining 2
-                put d >> pure (BT.Bit . toEnum . fromIntegral $ r)
-                
-{-# INLINE outOfBits #-}
-outOfBits :: forall (n :: Nat) .
-  (KnownNat n) =>  
-  VU.Vector BT.Bit -> Finite n
-outOfBits v = evalState (VU.foldM' go 0 v) 1
-  where go old (BT.Bit b) = do power <- get
-                               let placeValue = power * (fromIntegral . fromEnum $ b)
-                               modify (* 2)
-                               return (old + placeValue)
+{-
+ - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
+ -
+ - This program is free software: you can redistribute it and/or modify
+ - it under the terms of the GNU General Public License as published by
+ - the Free Software Foundation, either version 3 of the License, or
+ - (at your option) any later version.
+ -
+ - This program is distributed in the hope that it will be useful,
+ - but WITHOUT ANY WARRANTY; without even the implied warranty of
+ - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ - GNU General Public License for more details.
+ -
+ - You should have received a copy of the GNU General Public License
+ - along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ -}
+
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
+
+{-# LANGUAGE ViewPatterns #-}
+{-# LANGUAGE PatternSynonyms #-}
+{-# LANGUAGE RoleAnnotations #-}
+{-# LANGUAGE AllowAmbiguousTypes #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TypeInType #-}
+{-# LANGUAGE TypeOperators #-}
+{-# LANGUAGE TypeFamilies #-}
+{-# LANGUAGE TypeApplications #-}
+{-# LANGUAGE Trustworthy #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE UndecidableInstances #-}
+{-# LANGUAGE StandaloneDeriving #-}
+{-# LANGUAGE GeneralizedNewtypeDeriving #-}
+
+-- |
+-- Module:        Data.Finitary.PackBits
+-- Description:   Scheme for bit-packing @Finitary@ types.
+-- Copyright:     (C) Koz Ross 2019
+-- License:       GPL version 3.0 or later
+-- Stability:     Experimental
+-- Portability:   GHC only
+--
+-- From the [Kraft-McMillan
+-- inequality](https://en.wikipedia.org/wiki/Kraft%E2%80%93McMillan_inequality)
+-- and 
+-- the fact that we are not able to have \'fractional\' bits, we can derive a
+-- fixed-length code into a bitstring for any 'Finitary' type @a@, with code
+-- length \(\lceil \log_{2}(\texttt{Cardinality a}) \rceil\) bits. This code is
+-- essentially a binary representation of the index of each inhabitant of @a@.
+-- On that basis, we can derive an 'VU.Unbox' instance, representing
+-- the entire 'VU.Vector' as an unboxed [bit
+-- array](https://en.wikipedia.org/wiki/Bit_array).
+--
+-- This encoding is advantageous from the point of view of space - there is no
+-- tighter possible packing that preserves \(\Theta(1)\) random access and also
+-- allows the full range of 'VU.Vector' operations. If you are concerned about
+-- space usage above all, this is the best choice for you. 
+--
+-- Because access to individual bits is slower than whole bytes or words, this
+-- encoding adds some overhead. Additionally, a primary advantage of bit arrays
+-- (the ability to perform \'bulk\' operations on bits efficiently) is not made
+-- use of here. Therefore, if speed matters more than compactness, this encoding
+-- is suboptimal.
+--
+-- This encoding is __thread-safe__, and thus slightly slower. If you are certain 
+-- that race conditions cannot occur for your code, you can gain a speed improvement 
+-- by using "Data.Finitary.PackBits.Unsafe" instead.
+module Data.Finitary.PackBits 
+(
+  PackBits, pattern Packed,
+  BulkPack, exposeVector
+) where
+
+import GHC.TypeLits.Extra
+import Data.Proxy (Proxy(..))
+import Numeric.Natural (Natural)
+import GHC.TypeNats
+import CoercibleUtils (op, over, over2)
+import Data.Kind (Type)
+import Data.Hashable (Hashable(..))
+import Data.Vector.Instances ()
+import Data.Vector.Binary ()
+import Control.DeepSeq (NFData(..))
+import Data.Finitary(Finitary(..))
+import Data.Finite (Finite)
+import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
+import Data.Semigroup (Dual(..))
+
+import qualified Data.Binary as Bin
+import qualified Data.Bit.ThreadSafe as BT
+import qualified Data.Vector.Generic as VG
+import qualified Data.Vector.Generic.Mutable as VGM
+import qualified Data.Vector.Unboxed as VU
+
+-- | An opaque wrapper around @a@, representing each value as a 'bit-packed'
+-- encoding.
+newtype PackBits (a :: Type) = PackBits (VU.Vector BT.Bit)
+  deriving (Eq, Show)
+
+type role PackBits nominal
+
+-- | To provide (something that resembles a) data constructor for 'PackBits', we
+-- provide the following pattern. It can be used like any other data
+-- constructor:
+--
+-- > import Data.Finitary.PackBits
+-- >
+-- > anInt :: PackBits Int
+-- > anInt = Packed 10
+-- >
+-- > isPackedEven :: PackBits Int -> Bool
+-- > isPackedEven (Packed x) = even x
+--
+-- __Every__ pattern match, and data constructor call, performs a
+-- \(\Theta(\log_{2}(\texttt{Cardinality a}))\) encoding or decoding operation. 
+-- Use with this in mind.
+pattern Packed :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackBits a
+pattern Packed x <- (unpackBits -> x)
+  where Packed x = packBits x
+
+instance Ord (PackBits a) where
+  compare (PackBits v1) (PackBits v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
+    where go input order = (order <>) . Dual . uncurry compare $ input
+
+instance NFData (PackBits a) where
+  {-# INLINE rnf #-}
+  rnf = rnf . op PackBits
+
+instance (Finitary a, 1 <= Cardinality a) => Finitary (PackBits a) where
+  type Cardinality (PackBits a) = Cardinality a
+  {-# INLINE fromFinite #-}
+  fromFinite = PackBits . intoBits
+  {-# INLINE toFinite #-}
+  toFinite = outOfBits . op PackBits
+
+instance (Finitary a, 1 <= Cardinality a) => Bounded (PackBits a) where
+  {-# INLINE minBound #-}
+  minBound = start
+  {-# INLINE maxBound #-}
+  maxBound = end
+
+newtype instance VU.MVector s (PackBits a) = MV_PackBits (VU.MVector s BT.Bit)
+
+instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackBits a) where
+  {-# INLINE basicLength #-}
+  basicLength = over MV_PackBits ((`div` bitLength @a) . VGM.basicLength)
+  {-# INLINE basicOverlaps #-}
+  basicOverlaps = over2 MV_PackBits VGM.basicOverlaps
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over MV_PackBits (VGM.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
+  {-# INLINE basicUnsafeNew #-}
+  basicUnsafeNew len = fmap MV_PackBits (VGM.basicUnsafeNew (len * bitLength @a))
+  {-# INLINE basicInitialize #-}
+  basicInitialize = VGM.basicInitialize . op MV_PackBits
+  {-# INLINE basicUnsafeRead #-}
+  basicUnsafeRead (MV_PackBits v) i = fmap PackBits . VG.freeze . VGM.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
+  {-# INLINE basicUnsafeWrite #-}
+  basicUnsafeWrite (MV_PackBits v) i (PackBits x) = let slice = VGM.unsafeSlice (i * bitLength @a) (bitLength @a) v in
+                                                      VG.unsafeCopy slice x
+
+newtype instance VU.Vector (PackBits a) = V_PackBits (VU.Vector BT.Bit)
+
+instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackBits a) where
+  {-# INLINE basicLength #-}
+  basicLength = over V_PackBits ((`div` bitLength @a) . VG.basicLength)
+  {-# INLINE basicUnsafeFreeze #-}
+  basicUnsafeFreeze = fmap V_PackBits . VG.basicUnsafeFreeze . op MV_PackBits
+  {-# INLINE basicUnsafeThaw #-}
+  basicUnsafeThaw = fmap MV_PackBits . VG.basicUnsafeThaw . op V_PackBits
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over V_PackBits (VG.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
+  {-# INLINE basicUnsafeIndexM #-}
+  basicUnsafeIndexM (V_PackBits v) i = pure . PackBits . VG.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
+
+instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackBits a)
+
+-- | This wrapper provides an efficient 'Hashable' instance (hash the entire
+-- underlying bit-packed vector, rather than each element individually), as well
+-- as a 'Bin.Binary' instance (which stores or reads the entire blob of
+-- bits \'in one go\').
+newtype BulkPack a = BulkPack { exposeVector :: VU.Vector (PackBits a) }
+  deriving (NFData)
+
+deriving instance (Finitary a, 1 <= Cardinality a) => Eq (BulkPack a)
+
+deriving instance (Finitary a, 1 <= Cardinality a) => Ord (BulkPack a)
+
+instance Hashable (BulkPack a) where
+  {-# INLINE hashWithSalt #-}
+  hashWithSalt salt = hashWithSalt salt . BT.cloneToWords . op V_PackBits . op BulkPack
+
+instance Bin.Binary (BulkPack a) where
+  {-# INLINE put #-}
+  put = Bin.put . BT.cloneToWords . op V_PackBits . op BulkPack
+  {-# INLINE get #-}
+  get = BulkPack . V_PackBits . BT.castFromWords <$> Bin.get
+
+-- Helpers
+
+type BitLength a = CLog 2 (Cardinality a)
+
+{-# INLINE packBits #-}
+packBits :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackBits a
+packBits = fromFinite . toFinite
+
+{-# INLINE unpackBits #-}
+unpackBits :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  PackBits a -> a
+unpackBits = fromFinite . toFinite
+
+{-# INLINE bitLength #-}
+bitLength :: forall (a :: Type) (b :: Type) . 
+  (Finitary a, 1 <= Cardinality a, Num b) => 
+  b
+bitLength = fromIntegral . natVal $ (Proxy :: Proxy (BitLength a))
+
+{-# INLINE intoBits #-}
+intoBits :: forall (n :: Nat) .
+  (KnownNat n, 1 <= n) =>  
+  Finite n -> VU.Vector BT.Bit
+intoBits = evalState (VU.replicateM (bitLength @(Finite n)) go) . fromIntegral @_ @Natural
+  where go = do remaining <- get
+                let (d, r) = quotRem remaining 2
+                put d >> pure (BT.Bit . toEnum . fromIntegral $ r)
+                
+{-# INLINE outOfBits #-}
+outOfBits :: forall (n :: Nat) .
+  (KnownNat n) =>  
+  VU.Vector BT.Bit -> Finite n
+outOfBits v = evalState (VU.foldM' go 0 v) 1
+  where go old (BT.Bit b) = do power <- get
+                               let placeValue = power * (fromIntegral . fromEnum $ b)
+                               modify (* 2)
+                               return (old + placeValue)
diff --git a/src/Data/Finitary/PackBits/Unsafe.hs b/src/Data/Finitary/PackBits/Unsafe.hs
--- a/src/Data/Finitary/PackBits/Unsafe.hs
+++ b/src/Data/Finitary/PackBits/Unsafe.hs
@@ -1,251 +1,250 @@
-{-
- - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
- -
- - This program is free software: you can redistribute it and/or modify
- - it under the terms of the GNU General Public License as published by
- - the Free Software Foundation, either version 3 of the License, or
- - (at your option) any later version.
- -
- - This program is distributed in the hope that it will be useful,
- - but WITHOUT ANY WARRANTY; without even the implied warranty of
- - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- - GNU General Public License for more details.
- -
- - You should have received a copy of the GNU General Public License
- - along with this program.  If not, see <http://www.gnu.org/licenses/>.
- -}
-
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
-
-{-# LANGUAGE ViewPatterns #-}
-{-# LANGUAGE PatternSynonyms #-}
-{-# LANGUAGE RoleAnnotations #-}
-{-# LANGUAGE AllowAmbiguousTypes #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE TypeInType #-}
-{-# LANGUAGE TypeOperators #-}
-{-# LANGUAGE TypeFamilies #-}
-{-# LANGUAGE TypeApplications #-}
-{-# LANGUAGE Trustworthy #-}
-{-# LANGUAGE MultiParamTypeClasses #-}
-{-# LANGUAGE UndecidableInstances #-}
-{-# LANGUAGE StandaloneDeriving #-}
-{-# LANGUAGE GeneralizedNewtypeDeriving #-}
-
--- |
--- Module:        Data.Finitary.PackBits.Unsafe
--- Description:   Scheme for bit-packing @Finitary@ types.
--- Copyright:     (C) Koz Ross 2019
--- License:       GPL version 3.0 or later
--- Maintainer:    koz.ross@retro-freedom.nz
--- Stability:     Experimental
--- Portability:   GHC only
---
--- From the [Kraft-McMillan
--- inequality](https://en.wikipedia.org/wiki/Kraft%E2%80%93McMillan_inequality)
--- and 
--- the fact that we are not able to have \'fractional\' bits, we can derive a
--- fixed-length code into a bitstring for any 'Finitary' type @a@, with code
--- length \(\lceil \log_{2}(\texttt{Cardinality a}) \rceil\) bits. This code is
--- essentially a binary representation of the index of each inhabitant of @a@.
--- On that basis, we can derive an 'VU.Unbox' instance, representing
--- the entire 'VU.Vector' as an unboxed [bit
--- array](https://en.wikipedia.org/wiki/Bit_array).
---
--- This encoding is advantageous from the point of view of space - there is no
--- tighter possible packing that preserves \(\Theta(1)\) random access and also
--- allows the full range of 'VU.Vector' operations. If you are concerned about
--- space usage above all, this is the best choice for you. 
---
--- Because access to individual bits is slower than whole bytes or words, this
--- encoding adds some overhead. Additionally, a primary advantage of bit arrays
--- (the ability to perform \'bulk\' operations on bits efficiently) is not made
--- use of here. Therefore, if speed matters more than compactness, this encoding
--- is suboptimal.
---
--- This encoding is __not__ thread-safe, in exchange for performance. If you
--- suspect race conditions are possible, it's better to use
--- "Data.Finitary.PackBits" instead.
-module Data.Finitary.PackBits.Unsafe 
-(
-  PackBits, pattern Packed,
-  BulkPack, exposeVector
-) where
-
-import GHC.TypeLits.Extra
-import Data.Proxy (Proxy(..))
-import Numeric.Natural (Natural)
-import GHC.TypeNats
-import CoercibleUtils (op, over, over2)
-import Data.Kind (Type)
-import Data.Hashable (Hashable(..))
-import Data.Vector.Instances ()
-import Data.Vector.Binary ()
-import Control.DeepSeq (NFData(..))
-import Data.Finitary(Finitary(..))
-import Data.Finite (Finite)
-import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
-import Data.Semigroup (Dual(..))
-
-import qualified Data.Binary as Bin
-import qualified Data.Bit as B
-import qualified Data.Vector.Generic as VG
-import qualified Data.Vector.Generic.Mutable as VGM
-import qualified Data.Vector.Unboxed as VU
-
--- | An opaque wrapper around @a@, representing each value as a 'bit-packed'
--- encoding.
-newtype PackBits (a :: Type) = PackBits (VU.Vector B.Bit)
-  deriving (Eq, Show)
-
-type role PackBits nominal
-
--- | To provide (something that resembles a) data constructor for 'PackBits', we
--- provide the following pattern. It can be used like any other data
--- constructor:
---
--- > import Data.Finitary.PackBits
--- >
--- > anInt :: PackBits Int
--- > anInt = Packed 10
--- >
--- > isPackedEven :: PackBits Int -> Bool
--- > isPackedEven (Packed x) = even x
---
--- __Every__ pattern match, and data constructor call, performs a
--- \(\Theta(\log_{2}(\texttt{Cardinality a}))\) encoding or decoding operation. 
--- Use with this in mind.
-pattern Packed :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackBits a
-pattern Packed x <- (unpackBits -> x)
-  where Packed x = packBits x
-
-instance Ord (PackBits a) where
-  compare (PackBits v1) (PackBits v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
-    where go input order = (order <>) . Dual . uncurry compare $ input
-
-instance Bin.Binary (PackBits a) where
-  {-# INLINE put #-}
-  put = Bin.put . B.cloneToWords . op PackBits
-  {-# INLINE get #-}
-  get = PackBits . B.castFromWords <$> Bin.get
-
-instance Hashable (PackBits a) where
-  {-# INLINE hashWithSalt #-}
-  hashWithSalt salt = hashWithSalt salt . B.cloneToWords . op PackBits
-
-instance NFData (PackBits a) where
-  {-# INLINE rnf #-}
-  rnf = rnf . op PackBits
-
-instance (Finitary a, 1 <= Cardinality a) => Finitary (PackBits a) where
-  type Cardinality (PackBits a) = Cardinality a
-  {-# INLINE fromFinite #-}
-  fromFinite = PackBits . intoBits
-  {-# INLINE toFinite #-}
-  toFinite = outOfBits . op PackBits
-
-instance (Finitary a, 1 <= Cardinality a) => Bounded (PackBits a) where
-  {-# INLINE minBound #-}
-  minBound = start
-  {-# INLINE maxBound #-}
-  maxBound = end
-
-newtype instance VU.MVector s (PackBits a) = MV_PackBits (VU.MVector s B.Bit)
-
-instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackBits a) where
-  {-# INLINE basicLength #-}
-  basicLength = over MV_PackBits ((`div` bitLength @a) . VGM.basicLength)
-  {-# INLINE basicOverlaps #-}
-  basicOverlaps = over2 MV_PackBits VGM.basicOverlaps
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over MV_PackBits (VGM.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
-  {-# INLINE basicUnsafeNew #-}
-  basicUnsafeNew len = fmap MV_PackBits (VGM.basicUnsafeNew (len * bitLength @a))
-  {-# INLINE basicInitialize #-}
-  basicInitialize = VGM.basicInitialize . op MV_PackBits
-  {-# INLINE basicUnsafeRead #-}
-  basicUnsafeRead (MV_PackBits v) i = fmap PackBits . VG.freeze . VGM.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
-  {-# INLINE basicUnsafeWrite #-}
-  basicUnsafeWrite (MV_PackBits v) i (PackBits x) = let slice = VGM.unsafeSlice (i * bitLength @a) (bitLength @a) v in
-                                                      VG.unsafeCopy slice x
-
-newtype instance VU.Vector (PackBits a) = V_PackBits (VU.Vector B.Bit)
-
-instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackBits a) where
-  {-# INLINE basicLength #-}
-  basicLength = over V_PackBits ((`div` bitLength @a) . VG.basicLength)
-  {-# INLINE basicUnsafeFreeze #-}
-  basicUnsafeFreeze = fmap V_PackBits . VG.basicUnsafeFreeze . op MV_PackBits
-  {-# INLINE basicUnsafeThaw #-}
-  basicUnsafeThaw = fmap MV_PackBits . VG.basicUnsafeThaw . op V_PackBits
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over V_PackBits (VG.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
-  {-# INLINE basicUnsafeIndexM #-}
-  basicUnsafeIndexM (V_PackBits v) i = pure . PackBits . VG.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
-
-instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackBits a)
-
--- | This wrapper provides an efficient 'Hashable' instance (hash the entire
--- underlying bit-packed vector, rather than each element individually), as well
--- as a 'Bin.Binary' instance (which stores or reads the entire blob of
--- bits \'in one go\').
-newtype BulkPack a = BulkPack { exposeVector :: VU.Vector (PackBits a) }
-  deriving (NFData)
-
-deriving instance (Finitary a, 1 <= Cardinality a) => Eq (BulkPack a)
-
-deriving instance (Finitary a, 1 <= Cardinality a) => Ord (BulkPack a)
-
-instance Hashable (BulkPack a) where
-  {-# INLINE hashWithSalt #-}
-  hashWithSalt salt = hashWithSalt salt . B.cloneToWords . op V_PackBits . op BulkPack
-
-instance Bin.Binary (BulkPack a) where
-  {-# INLINE put #-}
-  put = Bin.put . B.cloneToWords . op V_PackBits . op BulkPack
-  {-# INLINE get #-}
-  get = BulkPack . V_PackBits . B.castFromWords <$> Bin.get
-
--- Helpers
-
-type BitLength a = CLog 2 (Cardinality a)
-
-{-# INLINE packBits #-}
-packBits :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackBits a
-packBits = fromFinite . toFinite
-
-{-# INLINE unpackBits #-}
-unpackBits :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  PackBits a -> a
-unpackBits = fromFinite . toFinite
-
-{-# INLINE bitLength #-}
-bitLength :: forall (a :: Type) (b :: Type) . 
-  (Finitary a, 1 <= Cardinality a, Num b) => 
-  b
-bitLength = fromIntegral . natVal $ (Proxy :: Proxy (BitLength a))
-
-{-# INLINE intoBits #-}
-intoBits :: forall (n :: Nat) .
-  (KnownNat n, 1 <= n) =>  
-  Finite n -> VU.Vector B.Bit
-intoBits = evalState (VU.replicateM (bitLength @(Finite n)) go) . fromIntegral @_ @Natural
-  where go = do remaining <- get
-                let (d, r) = quotRem remaining 2
-                put d >> pure (B.Bit . toEnum . fromIntegral $ r)
-                
-{-# INLINE outOfBits #-}
-outOfBits :: forall (n :: Nat) .
-  (KnownNat n) =>  
-  VU.Vector B.Bit -> Finite n
-outOfBits v = evalState (VU.foldM' go 0 v) 1
-  where go old (B.Bit b) = do power <- get
-                              let placeValue = power * (fromIntegral . fromEnum $ b)
-                              modify (* 2)
-                              return (old + placeValue)
+{-
+ - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
+ -
+ - This program is free software: you can redistribute it and/or modify
+ - it under the terms of the GNU General Public License as published by
+ - the Free Software Foundation, either version 3 of the License, or
+ - (at your option) any later version.
+ -
+ - This program is distributed in the hope that it will be useful,
+ - but WITHOUT ANY WARRANTY; without even the implied warranty of
+ - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ - GNU General Public License for more details.
+ -
+ - You should have received a copy of the GNU General Public License
+ - along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ -}
+
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
+
+{-# LANGUAGE ViewPatterns #-}
+{-# LANGUAGE PatternSynonyms #-}
+{-# LANGUAGE RoleAnnotations #-}
+{-# LANGUAGE AllowAmbiguousTypes #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TypeInType #-}
+{-# LANGUAGE TypeOperators #-}
+{-# LANGUAGE TypeFamilies #-}
+{-# LANGUAGE TypeApplications #-}
+{-# LANGUAGE Trustworthy #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE UndecidableInstances #-}
+{-# LANGUAGE StandaloneDeriving #-}
+{-# LANGUAGE GeneralizedNewtypeDeriving #-}
+
+-- |
+-- Module:        Data.Finitary.PackBits.Unsafe
+-- Description:   Scheme for bit-packing @Finitary@ types.
+-- Copyright:     (C) Koz Ross 2019
+-- License:       GPL version 3.0 or later
+-- Stability:     Experimental
+-- Portability:   GHC only
+--
+-- From the [Kraft-McMillan
+-- inequality](https://en.wikipedia.org/wiki/Kraft%E2%80%93McMillan_inequality)
+-- and 
+-- the fact that we are not able to have \'fractional\' bits, we can derive a
+-- fixed-length code into a bitstring for any 'Finitary' type @a@, with code
+-- length \(\lceil \log_{2}(\texttt{Cardinality a}) \rceil\) bits. This code is
+-- essentially a binary representation of the index of each inhabitant of @a@.
+-- On that basis, we can derive an 'VU.Unbox' instance, representing
+-- the entire 'VU.Vector' as an unboxed [bit
+-- array](https://en.wikipedia.org/wiki/Bit_array).
+--
+-- This encoding is advantageous from the point of view of space - there is no
+-- tighter possible packing that preserves \(\Theta(1)\) random access and also
+-- allows the full range of 'VU.Vector' operations. If you are concerned about
+-- space usage above all, this is the best choice for you. 
+--
+-- Because access to individual bits is slower than whole bytes or words, this
+-- encoding adds some overhead. Additionally, a primary advantage of bit arrays
+-- (the ability to perform \'bulk\' operations on bits efficiently) is not made
+-- use of here. Therefore, if speed matters more than compactness, this encoding
+-- is suboptimal.
+--
+-- This encoding is __not__ thread-safe, in exchange for performance. If you
+-- suspect race conditions are possible, it's better to use
+-- "Data.Finitary.PackBits" instead.
+module Data.Finitary.PackBits.Unsafe 
+(
+  PackBits, pattern Packed,
+  BulkPack, exposeVector
+) where
+
+import GHC.TypeLits.Extra
+import Data.Proxy (Proxy(..))
+import Numeric.Natural (Natural)
+import GHC.TypeNats
+import CoercibleUtils (op, over, over2)
+import Data.Kind (Type)
+import Data.Hashable (Hashable(..))
+import Data.Vector.Instances ()
+import Data.Vector.Binary ()
+import Control.DeepSeq (NFData(..))
+import Data.Finitary(Finitary(..))
+import Data.Finite (Finite)
+import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
+import Data.Semigroup (Dual(..))
+
+import qualified Data.Binary as Bin
+import qualified Data.Bit as B
+import qualified Data.Vector.Generic as VG
+import qualified Data.Vector.Generic.Mutable as VGM
+import qualified Data.Vector.Unboxed as VU
+
+-- | An opaque wrapper around @a@, representing each value as a 'bit-packed'
+-- encoding.
+newtype PackBits (a :: Type) = PackBits (VU.Vector B.Bit)
+  deriving (Eq, Show)
+
+type role PackBits nominal
+
+-- | To provide (something that resembles a) data constructor for 'PackBits', we
+-- provide the following pattern. It can be used like any other data
+-- constructor:
+--
+-- > import Data.Finitary.PackBits
+-- >
+-- > anInt :: PackBits Int
+-- > anInt = Packed 10
+-- >
+-- > isPackedEven :: PackBits Int -> Bool
+-- > isPackedEven (Packed x) = even x
+--
+-- __Every__ pattern match, and data constructor call, performs a
+-- \(\Theta(\log_{2}(\texttt{Cardinality a}))\) encoding or decoding operation. 
+-- Use with this in mind.
+pattern Packed :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackBits a
+pattern Packed x <- (unpackBits -> x)
+  where Packed x = packBits x
+
+instance Ord (PackBits a) where
+  compare (PackBits v1) (PackBits v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
+    where go input order = (order <>) . Dual . uncurry compare $ input
+
+instance Bin.Binary (PackBits a) where
+  {-# INLINE put #-}
+  put = Bin.put . B.cloneToWords . op PackBits
+  {-# INLINE get #-}
+  get = PackBits . B.castFromWords <$> Bin.get
+
+instance Hashable (PackBits a) where
+  {-# INLINE hashWithSalt #-}
+  hashWithSalt salt = hashWithSalt salt . B.cloneToWords . op PackBits
+
+instance NFData (PackBits a) where
+  {-# INLINE rnf #-}
+  rnf = rnf . op PackBits
+
+instance (Finitary a, 1 <= Cardinality a) => Finitary (PackBits a) where
+  type Cardinality (PackBits a) = Cardinality a
+  {-# INLINE fromFinite #-}
+  fromFinite = PackBits . intoBits
+  {-# INLINE toFinite #-}
+  toFinite = outOfBits . op PackBits
+
+instance (Finitary a, 1 <= Cardinality a) => Bounded (PackBits a) where
+  {-# INLINE minBound #-}
+  minBound = start
+  {-# INLINE maxBound #-}
+  maxBound = end
+
+newtype instance VU.MVector s (PackBits a) = MV_PackBits (VU.MVector s B.Bit)
+
+instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackBits a) where
+  {-# INLINE basicLength #-}
+  basicLength = over MV_PackBits ((`div` bitLength @a) . VGM.basicLength)
+  {-# INLINE basicOverlaps #-}
+  basicOverlaps = over2 MV_PackBits VGM.basicOverlaps
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over MV_PackBits (VGM.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
+  {-# INLINE basicUnsafeNew #-}
+  basicUnsafeNew len = fmap MV_PackBits (VGM.basicUnsafeNew (len * bitLength @a))
+  {-# INLINE basicInitialize #-}
+  basicInitialize = VGM.basicInitialize . op MV_PackBits
+  {-# INLINE basicUnsafeRead #-}
+  basicUnsafeRead (MV_PackBits v) i = fmap PackBits . VG.freeze . VGM.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
+  {-# INLINE basicUnsafeWrite #-}
+  basicUnsafeWrite (MV_PackBits v) i (PackBits x) = let slice = VGM.unsafeSlice (i * bitLength @a) (bitLength @a) v in
+                                                      VG.unsafeCopy slice x
+
+newtype instance VU.Vector (PackBits a) = V_PackBits (VU.Vector B.Bit)
+
+instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackBits a) where
+  {-# INLINE basicLength #-}
+  basicLength = over V_PackBits ((`div` bitLength @a) . VG.basicLength)
+  {-# INLINE basicUnsafeFreeze #-}
+  basicUnsafeFreeze = fmap V_PackBits . VG.basicUnsafeFreeze . op MV_PackBits
+  {-# INLINE basicUnsafeThaw #-}
+  basicUnsafeThaw = fmap MV_PackBits . VG.basicUnsafeThaw . op V_PackBits
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over V_PackBits (VG.basicUnsafeSlice (i * bitLength @a) (len * bitLength @a))
+  {-# INLINE basicUnsafeIndexM #-}
+  basicUnsafeIndexM (V_PackBits v) i = pure . PackBits . VG.unsafeSlice (i * bitLength @a) (bitLength @a) $ v
+
+instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackBits a)
+
+-- | This wrapper provides an efficient 'Hashable' instance (hash the entire
+-- underlying bit-packed vector, rather than each element individually), as well
+-- as a 'Bin.Binary' instance (which stores or reads the entire blob of
+-- bits \'in one go\').
+newtype BulkPack a = BulkPack { exposeVector :: VU.Vector (PackBits a) }
+  deriving (NFData)
+
+deriving instance (Finitary a, 1 <= Cardinality a) => Eq (BulkPack a)
+
+deriving instance (Finitary a, 1 <= Cardinality a) => Ord (BulkPack a)
+
+instance Hashable (BulkPack a) where
+  {-# INLINE hashWithSalt #-}
+  hashWithSalt salt = hashWithSalt salt . B.cloneToWords . op V_PackBits . op BulkPack
+
+instance Bin.Binary (BulkPack a) where
+  {-# INLINE put #-}
+  put = Bin.put . B.cloneToWords . op V_PackBits . op BulkPack
+  {-# INLINE get #-}
+  get = BulkPack . V_PackBits . B.castFromWords <$> Bin.get
+
+-- Helpers
+
+type BitLength a = CLog 2 (Cardinality a)
+
+{-# INLINE packBits #-}
+packBits :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackBits a
+packBits = fromFinite . toFinite
+
+{-# INLINE unpackBits #-}
+unpackBits :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  PackBits a -> a
+unpackBits = fromFinite . toFinite
+
+{-# INLINE bitLength #-}
+bitLength :: forall (a :: Type) (b :: Type) . 
+  (Finitary a, 1 <= Cardinality a, Num b) => 
+  b
+bitLength = fromIntegral . natVal $ (Proxy :: Proxy (BitLength a))
+
+{-# INLINE intoBits #-}
+intoBits :: forall (n :: Nat) .
+  (KnownNat n, 1 <= n) =>  
+  Finite n -> VU.Vector B.Bit
+intoBits = evalState (VU.replicateM (bitLength @(Finite n)) go) . fromIntegral @_ @Natural
+  where go = do remaining <- get
+                let (d, r) = quotRem remaining 2
+                put d >> pure (B.Bit . toEnum . fromIntegral $ r)
+                
+{-# INLINE outOfBits #-}
+outOfBits :: forall (n :: Nat) .
+  (KnownNat n) =>  
+  VU.Vector B.Bit -> Finite n
+outOfBits v = evalState (VU.foldM' go 0 v) 1
+  where go old (B.Bit b) = do power <- get
+                              let placeValue = power * (fromIntegral . fromEnum $ b)
+                              modify (* 2)
+                              return (old + placeValue)
diff --git a/src/Data/Finitary/PackBytes.hs b/src/Data/Finitary/PackBytes.hs
--- a/src/Data/Finitary/PackBytes.hs
+++ b/src/Data/Finitary/PackBytes.hs
@@ -1,233 +1,232 @@
-{-
- - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
- -
- - This program is free software: you can redistribute it and/or modify
- - it under the terms of the GNU General Public License as published by
- - the Free Software Foundation, either version 3 of the License, or
- - (at your option) any later version.
- -
- - This program is distributed in the hope that it will be useful,
- - but WITHOUT ANY WARRANTY; without even the implied warranty of
- - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- - GNU General Public License for more details.
- -
- - You should have received a copy of the GNU General Public License
- - along with this program.  If not, see <http://www.gnu.org/licenses/>.
- -}
-
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
-
-{-# LANGUAGE AllowAmbiguousTypes #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE RoleAnnotations #-}
-{-# LANGUAGE Trustworthy #-}
-{-# LANGUAGE TypeInType #-}
-{-# LANGUAGE TypeFamilies #-}
-{-# LANGUAGE TypeApplications #-}
-{-# LANGUAGE PatternSynonyms #-}
-{-# LANGUAGE ViewPatterns #-}
-{-# LANGUAGE MultiParamTypeClasses #-}
-{-# LANGUAGE TypeOperators #-}
-
--- |
--- Module:        Data.Finitary.PackBytes
--- Description:   Scheme for byte-packing @Finitary@ types.
--- Copyright:     (C) Koz Ross 2019
--- License:       GPL version 3.0 or later
--- Maintainer:    koz.ross@retro-freedom.nz
--- Stability:     Experimental
--- Portability:   GHC only
---
--- If a type @a@ is 'Finitary', each inhabitant of @a@ has an index, which can
--- be represented as a byte string of a fixed length (as the number of indexes
--- is finite). Essentially, we can represent any value of @a@ as a fixed-length
--- string over an alphabet of cardinality \(256\). Based on this, we can derive
--- a 'VU.Unbox' instance, representing a 'VU.Vector' as a large byte string.
--- This also allows us to provide a 'Storable' instance for @a@.
---
--- This encoding is fairly tight in terms of space use, especially for types
--- whose cardinalities are large. Additionally, byte-access is considerably
--- faster than bit-access on most architectures. If your types have large
--- cardinalities, and minimal space use isn't a concern, this encoding is good.
---
--- Some architectures prefer whole-word access - on these, there can be some
--- overheads using this encoding. Additionally, the encoding and decoding step
--- for this encoding is longer than the one for "Data.Finitary.PackWords". If 
--- @Cardinality a < Cardinality Word@, you should 
--- consider a different encoding - in particular, check "Data.Finitary.PackInto", 
--- which is more flexible and faster, with greater control over space usage.
-module Data.Finitary.PackBytes 
-(
-  PackBytes, pattern Packed
-) where
-
-import Data.Proxy (Proxy(..))
-import GHC.TypeLits.Extra
-import GHC.TypeNats
-import CoercibleUtils (op, over, over2)
-import Data.Kind (Type)
-import Data.Word (Word8)
-import Data.Vector.Binary ()
-import Data.Vector.Instances ()
-import Data.Hashable (Hashable(..))
-import Control.DeepSeq (NFData(..))
-import Data.Finitary (Finitary(..))
-import Foreign.Storable (Storable(..))
-import Foreign.Ptr (castPtr, plusPtr)
-import Numeric.Natural (Natural)
-import Data.Finite (Finite)
-import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
-import Data.Semigroup (Dual(..))
-
-import qualified Data.Binary as Bin
-import qualified Data.Vector.Unboxed as VU
-import qualified Data.Vector.Generic as VG
-import qualified Data.Vector.Generic.Mutable as VGM
-
--- | An opaque wrapper around @a@, representing each value as a byte string.
-newtype PackBytes (a :: Type) = PackBytes (VU.Vector Word8)
-  deriving (Eq, Show)
-
-type role PackBytes nominal
-
--- | To provide (something that resembles a) data constructor for 'PackBytes', we
--- provide the following pattern. It can be used like any other data
--- constructor:
---
--- > import Data.Finitary.PackBytes
--- >
--- > anInt :: PackBytes Int
--- > anInt = Packed 10
--- >
--- > isPackedEven :: PackBytes Int -> Bool
--- > isPackedEven (Packed x) = even x
---
--- __Every__ pattern match, and data constructor call, performs a
--- \(\Theta(\log_{256}(\texttt{Cardinality a}))\) encoding or decoding of @a@.
--- Use with this in mind.
-pattern Packed :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackBytes a
-pattern Packed x <- (unpackBytes -> x)
-  where Packed x = packBytes x
-
-instance Ord (PackBytes a) where
-  compare (PackBytes v1) (PackBytes v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
-    where go input order = (order <>) . Dual . uncurry compare $ input
-
-instance Bin.Binary (PackBytes a) where
-  {-# INLINE put #-}
-  put = Bin.put . op PackBytes
-  {-# INLINE get #-}
-  get = PackBytes <$> Bin.get
-
-instance Hashable (PackBytes a) where
-  {-# INLINE hashWithSalt #-}
-  hashWithSalt salt = hashWithSalt salt . op PackBytes
-
-instance NFData (PackBytes a) where
-  {-# INLINE rnf #-}
-  rnf = rnf . op PackBytes
-
-instance (Finitary a, 1 <= Cardinality a) => Finitary (PackBytes a) where
-  type Cardinality (PackBytes a) = Cardinality a
-  {-# INLINE fromFinite #-}
-  fromFinite = PackBytes . intoBytes
-  {-# INLINE toFinite #-}
-  toFinite = outOfBytes . op PackBytes
-
-instance (Finitary a, 1 <= Cardinality a) => Bounded (PackBytes a) where
-  {-# INLINE minBound #-}
-  minBound = start
-  {-# INLINE maxBound #-}
-  maxBound = end
-
-instance (Finitary a, 1 <= Cardinality a) => Storable (PackBytes a) where
-  {-# INLINE sizeOf #-}
-  sizeOf _ = byteLength @a
-  {-# INLINE alignment #-}
-  alignment _ = alignment (undefined :: Word8)
-  {-# INLINE peek #-}
-  peek ptr = do let bytePtr = castPtr ptr
-                PackBytes <$> VU.generateM (byteLength @a) (peek . plusPtr bytePtr)
-  {-# INLINE poke #-}
-  poke ptr (PackBytes v) = do let bytePtr = castPtr ptr
-                              VU.foldM'_ go bytePtr v
-    where go p e = poke p e >> pure (plusPtr p 1)
-
-newtype instance VU.MVector s (PackBytes a) = MV_PackBytes (VU.MVector s Word8)
-
-instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackBytes a) where
-  {-# INLINE basicLength #-}
-  basicLength = over MV_PackBytes ((`div` byteLength @a) . VGM.basicLength)
-  {-# INLINE basicOverlaps #-}
-  basicOverlaps = over2 MV_PackBytes VGM.basicOverlaps
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over MV_PackBytes (VGM.basicUnsafeSlice (i * byteLength @a) (len * byteLength @a))
-  {-# INLINE basicUnsafeNew #-}
-  basicUnsafeNew len = MV_PackBytes <$> VGM.basicUnsafeNew (len * byteLength @a)
-  {-# INLINE basicInitialize #-}
-  basicInitialize = VGM.basicInitialize . op MV_PackBytes
-  {-# INLINE basicUnsafeRead #-}
-  basicUnsafeRead (MV_PackBytes v) i = fmap PackBytes . VG.freeze . VGM.unsafeSlice (i * byteLength @a) (byteLength @a) $ v
-  {-# INLINE basicUnsafeWrite #-}
-  basicUnsafeWrite (MV_PackBytes v) i (PackBytes x) = let slice = VGM.unsafeSlice (i * byteLength @a) (byteLength @a) v in
-                                                        VG.unsafeCopy slice x
-
-newtype instance VU.Vector (PackBytes a) = V_PackBytes (VU.Vector Word8)
-
-instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackBytes a) where
-  {-# INLINE basicLength #-}
-  basicLength = over V_PackBytes ((`div` byteLength @a) . VG.basicLength)
-  {-# INLINE basicUnsafeFreeze #-}
-  basicUnsafeFreeze = fmap V_PackBytes . VG.basicUnsafeFreeze . op MV_PackBytes
-  {-# INLINE basicUnsafeThaw #-} 
-  basicUnsafeThaw = fmap MV_PackBytes . VG.basicUnsafeThaw . op V_PackBytes
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over V_PackBytes (VG.basicUnsafeSlice (i * byteLength @a) (len * byteLength @a))
-  {-# INLINE basicUnsafeIndexM #-}
-  basicUnsafeIndexM (V_PackBytes v) i = pure . PackBytes . VG.unsafeSlice (i * byteLength @a) (byteLength @a) $ v
-
-instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackBytes a)
-
--- Helpers
-
-type ByteLength a = CLog (Cardinality Word8) (Cardinality a)
-
-{-# INLINE byteLength #-}
-byteLength :: forall (a :: Type) (b :: Type) . 
-  (Finitary a, 1 <= Cardinality a, Num b) =>
-  b
-byteLength = fromIntegral . natVal $ (Proxy :: Proxy (ByteLength a)) 
-
-{-# INLINE packBytes #-}
-packBytes :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackBytes a
-packBytes = fromFinite . toFinite
-
-{-# INLINE unpackBytes #-}
-unpackBytes :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  PackBytes a -> a
-unpackBytes = fromFinite . toFinite
-
-{-# INLINE intoBytes #-}
-intoBytes :: forall (n :: Nat) . 
-  (KnownNat n, 1 <= n) => 
-  Finite n -> VU.Vector Word8
-intoBytes = evalState (VU.replicateM (byteLength @(Finite n)) go) . fromIntegral @_ @Natural
-  where go = do remaining <- get
-                let (d, r) = quotRem remaining 256
-                put d >> pure (fromIntegral r)
-
-{-# INLINE outOfBytes #-}
-outOfBytes :: forall (n :: Nat) . 
-  (KnownNat n) =>
-  VU.Vector Word8 -> Finite n
-outOfBytes v = evalState (VU.foldM' go 0 v) 1
-  where go old w = do power <- get
-                      let placeValue = power * fromIntegral w
-                      modify (* 256)
-                      return (old + placeValue) 
+{-
+ - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
+ -
+ - This program is free software: you can redistribute it and/or modify
+ - it under the terms of the GNU General Public License as published by
+ - the Free Software Foundation, either version 3 of the License, or
+ - (at your option) any later version.
+ -
+ - This program is distributed in the hope that it will be useful,
+ - but WITHOUT ANY WARRANTY; without even the implied warranty of
+ - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ - GNU General Public License for more details.
+ -
+ - You should have received a copy of the GNU General Public License
+ - along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ -}
+
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
+
+{-# LANGUAGE AllowAmbiguousTypes #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE RoleAnnotations #-}
+{-# LANGUAGE Trustworthy #-}
+{-# LANGUAGE TypeInType #-}
+{-# LANGUAGE TypeFamilies #-}
+{-# LANGUAGE TypeApplications #-}
+{-# LANGUAGE PatternSynonyms #-}
+{-# LANGUAGE ViewPatterns #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE TypeOperators #-}
+
+-- |
+-- Module:        Data.Finitary.PackBytes
+-- Description:   Scheme for byte-packing @Finitary@ types.
+-- Copyright:     (C) Koz Ross 2019
+-- License:       GPL version 3.0 or later
+-- Stability:     Experimental
+-- Portability:   GHC only
+--
+-- If a type @a@ is 'Finitary', each inhabitant of @a@ has an index, which can
+-- be represented as a byte string of a fixed length (as the number of indexes
+-- is finite). Essentially, we can represent any value of @a@ as a fixed-length
+-- string over an alphabet of cardinality \(256\). Based on this, we can derive
+-- a 'VU.Unbox' instance, representing a 'VU.Vector' as a large byte string.
+-- This also allows us to provide a 'Storable' instance for @a@.
+--
+-- This encoding is fairly tight in terms of space use, especially for types
+-- whose cardinalities are large. Additionally, byte-access is considerably
+-- faster than bit-access on most architectures. If your types have large
+-- cardinalities, and minimal space use isn't a concern, this encoding is good.
+--
+-- Some architectures prefer whole-word access - on these, there can be some
+-- overheads using this encoding. Additionally, the encoding and decoding step
+-- for this encoding is longer than the one for "Data.Finitary.PackWords". If 
+-- @Cardinality a < Cardinality Word@, you should 
+-- consider a different encoding - in particular, check "Data.Finitary.PackInto", 
+-- which is more flexible and faster, with greater control over space usage.
+module Data.Finitary.PackBytes 
+(
+  PackBytes, pattern Packed
+) where
+
+import Data.Proxy (Proxy(..))
+import GHC.TypeLits.Extra
+import GHC.TypeNats
+import CoercibleUtils (op, over, over2)
+import Data.Kind (Type)
+import Data.Word (Word8)
+import Data.Vector.Binary ()
+import Data.Vector.Instances ()
+import Data.Hashable (Hashable(..))
+import Control.DeepSeq (NFData(..))
+import Data.Finitary (Finitary(..))
+import Foreign.Storable (Storable(..))
+import Foreign.Ptr (castPtr, plusPtr)
+import Numeric.Natural (Natural)
+import Data.Finite (Finite)
+import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
+import Data.Semigroup (Dual(..))
+
+import qualified Data.Binary as Bin
+import qualified Data.Vector.Unboxed as VU
+import qualified Data.Vector.Generic as VG
+import qualified Data.Vector.Generic.Mutable as VGM
+
+-- | An opaque wrapper around @a@, representing each value as a byte string.
+newtype PackBytes (a :: Type) = PackBytes (VU.Vector Word8)
+  deriving (Eq, Show)
+
+type role PackBytes nominal
+
+-- | To provide (something that resembles a) data constructor for 'PackBytes', we
+-- provide the following pattern. It can be used like any other data
+-- constructor:
+--
+-- > import Data.Finitary.PackBytes
+-- >
+-- > anInt :: PackBytes Int
+-- > anInt = Packed 10
+-- >
+-- > isPackedEven :: PackBytes Int -> Bool
+-- > isPackedEven (Packed x) = even x
+--
+-- __Every__ pattern match, and data constructor call, performs a
+-- \(\Theta(\log_{256}(\texttt{Cardinality a}))\) encoding or decoding of @a@.
+-- Use with this in mind.
+pattern Packed :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackBytes a
+pattern Packed x <- (unpackBytes -> x)
+  where Packed x = packBytes x
+
+instance Ord (PackBytes a) where
+  compare (PackBytes v1) (PackBytes v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
+    where go input order = (order <>) . Dual . uncurry compare $ input
+
+instance Bin.Binary (PackBytes a) where
+  {-# INLINE put #-}
+  put = Bin.put . op PackBytes
+  {-# INLINE get #-}
+  get = PackBytes <$> Bin.get
+
+instance Hashable (PackBytes a) where
+  {-# INLINE hashWithSalt #-}
+  hashWithSalt salt = hashWithSalt salt . op PackBytes
+
+instance NFData (PackBytes a) where
+  {-# INLINE rnf #-}
+  rnf = rnf . op PackBytes
+
+instance (Finitary a, 1 <= Cardinality a) => Finitary (PackBytes a) where
+  type Cardinality (PackBytes a) = Cardinality a
+  {-# INLINE fromFinite #-}
+  fromFinite = PackBytes . intoBytes
+  {-# INLINE toFinite #-}
+  toFinite = outOfBytes . op PackBytes
+
+instance (Finitary a, 1 <= Cardinality a) => Bounded (PackBytes a) where
+  {-# INLINE minBound #-}
+  minBound = start
+  {-# INLINE maxBound #-}
+  maxBound = end
+
+instance (Finitary a, 1 <= Cardinality a) => Storable (PackBytes a) where
+  {-# INLINE sizeOf #-}
+  sizeOf _ = byteLength @a
+  {-# INLINE alignment #-}
+  alignment _ = alignment (undefined :: Word8)
+  {-# INLINE peek #-}
+  peek ptr = do let bytePtr = castPtr ptr
+                PackBytes <$> VU.generateM (byteLength @a) (peek . plusPtr bytePtr)
+  {-# INLINE poke #-}
+  poke ptr (PackBytes v) = do let bytePtr = castPtr ptr
+                              VU.foldM'_ go bytePtr v
+    where go p e = poke p e >> pure (plusPtr p 1)
+
+newtype instance VU.MVector s (PackBytes a) = MV_PackBytes (VU.MVector s Word8)
+
+instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackBytes a) where
+  {-# INLINE basicLength #-}
+  basicLength = over MV_PackBytes ((`div` byteLength @a) . VGM.basicLength)
+  {-# INLINE basicOverlaps #-}
+  basicOverlaps = over2 MV_PackBytes VGM.basicOverlaps
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over MV_PackBytes (VGM.basicUnsafeSlice (i * byteLength @a) (len * byteLength @a))
+  {-# INLINE basicUnsafeNew #-}
+  basicUnsafeNew len = MV_PackBytes <$> VGM.basicUnsafeNew (len * byteLength @a)
+  {-# INLINE basicInitialize #-}
+  basicInitialize = VGM.basicInitialize . op MV_PackBytes
+  {-# INLINE basicUnsafeRead #-}
+  basicUnsafeRead (MV_PackBytes v) i = fmap PackBytes . VG.freeze . VGM.unsafeSlice (i * byteLength @a) (byteLength @a) $ v
+  {-# INLINE basicUnsafeWrite #-}
+  basicUnsafeWrite (MV_PackBytes v) i (PackBytes x) = let slice = VGM.unsafeSlice (i * byteLength @a) (byteLength @a) v in
+                                                        VG.unsafeCopy slice x
+
+newtype instance VU.Vector (PackBytes a) = V_PackBytes (VU.Vector Word8)
+
+instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackBytes a) where
+  {-# INLINE basicLength #-}
+  basicLength = over V_PackBytes ((`div` byteLength @a) . VG.basicLength)
+  {-# INLINE basicUnsafeFreeze #-}
+  basicUnsafeFreeze = fmap V_PackBytes . VG.basicUnsafeFreeze . op MV_PackBytes
+  {-# INLINE basicUnsafeThaw #-} 
+  basicUnsafeThaw = fmap MV_PackBytes . VG.basicUnsafeThaw . op V_PackBytes
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over V_PackBytes (VG.basicUnsafeSlice (i * byteLength @a) (len * byteLength @a))
+  {-# INLINE basicUnsafeIndexM #-}
+  basicUnsafeIndexM (V_PackBytes v) i = pure . PackBytes . VG.unsafeSlice (i * byteLength @a) (byteLength @a) $ v
+
+instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackBytes a)
+
+-- Helpers
+
+type ByteLength a = CLog (Cardinality Word8) (Cardinality a)
+
+{-# INLINE byteLength #-}
+byteLength :: forall (a :: Type) (b :: Type) . 
+  (Finitary a, 1 <= Cardinality a, Num b) =>
+  b
+byteLength = fromIntegral . natVal $ (Proxy :: Proxy (ByteLength a)) 
+
+{-# INLINE packBytes #-}
+packBytes :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackBytes a
+packBytes = fromFinite . toFinite
+
+{-# INLINE unpackBytes #-}
+unpackBytes :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  PackBytes a -> a
+unpackBytes = fromFinite . toFinite
+
+{-# INLINE intoBytes #-}
+intoBytes :: forall (n :: Nat) . 
+  (KnownNat n, 1 <= n) => 
+  Finite n -> VU.Vector Word8
+intoBytes = evalState (VU.replicateM (byteLength @(Finite n)) go) . fromIntegral @_ @Natural
+  where go = do remaining <- get
+                let (d, r) = quotRem remaining 256
+                put d >> pure (fromIntegral r)
+
+{-# INLINE outOfBytes #-}
+outOfBytes :: forall (n :: Nat) . 
+  (KnownNat n) =>
+  VU.Vector Word8 -> Finite n
+outOfBytes v = evalState (VU.foldM' go 0 v) 1
+  where go old w = do power <- get
+                      let placeValue = power * fromIntegral w
+                      modify (* 256)
+                      return (old + placeValue) 
diff --git a/src/Data/Finitary/PackInto.hs b/src/Data/Finitary/PackInto.hs
--- a/src/Data/Finitary/PackInto.hs
+++ b/src/Data/Finitary/PackInto.hs
@@ -1,197 +1,196 @@
-{-
- - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
- -
- - This program is free software: you can redistribute it and/or modify
- - it under the terms of the GNU General Public License as published by
- - the Free Software Foundation, either version 3 of the License, or
- - (at your option) any later version.
- -
- - This program is distributed in the hope that it will be useful,
- - but WITHOUT ANY WARRANTY; without even the implied warranty of
- - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- - GNU General Public License for more details.
- -
- - You should have received a copy of the GNU General Public License
- - along with this program.  If not, see <http://www.gnu.org/licenses/>.
- -}
-
-{-# LANGUAGE RoleAnnotations #-}
-{-# LANGUAGE TypeInType #-}
-{-# LANGUAGE TypeFamilies #-}
-{-# LANGUAGE TypeOperators #-}
-{-# LANGUAGE MultiParamTypeClasses #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE ViewPatterns #-}
-{-# LANGUAGE PatternSynonyms #-}
-{-# LANGUAGE TypeApplications #-}
-
--- |
--- Module:        Data.Finitary.PackInto
--- Description:   Scheme for packing @Finitary@ types into other @Finitary@
---                types.
--- Copyright:     (C) Koz Ross 2019
--- License:       GPL version 3.0 or later
--- Maintainer:    koz.ross@retro-freedom.nz
--- Stability:     Experimental
--- Portability:   GHC only
---
--- This allows us to \'borrow\' implementations of certain type classes from
--- \'larger\' finitary types for \'smaller\' finitary types. Essentially, for
--- any types @a@ and @b@, if both @a@ and @b@ are 'Finitary' and @Cardinality a
--- <= Cardinality b@, the set of indexes for @a@ is a subset (strictly speaking,
--- a prefix) of the set of indexes for @b@. Therefore, we have an injective
--- mapping from @a@ to @b@, whose
--- [preimage](https://en.wikipedia.org/wiki/Preimage)
--- is also injective, witnessed by the function @fromFinite . toFinite@ in both
--- directions. When combined with the monotonicity of @toFinite@ and
--- @fromFinite@, we can operate on inhabitants of @b@ in certain ways while
--- always being able to recover the \'equivalent\' inhabitant of @a@.
---
--- On this basis, we can \'borrow\' both 'VU.Unbox' and 'Storable' instances
--- from @b@. This is done by way of the @PackInto a b@ type; here, @a@ is the
--- type to which instances are being \'lent\' and @b@ is the type from which
--- instances are being \'borrowed\'. @PackInto a b@ does not store any values of
--- type @a@ - construction and deconstruction of @PackInto@ performs a
--- conversion as described above.
---
--- If an existing 'Finitary' type exists with desired instances, this encoding
--- is the most flexible and efficient. Unless you have good reasons to consider
--- something else (such as space use), use this encoding. However, its
--- usefulness is conditional on a suitable \'packing\' type existing of
--- appropriate cardinality. Additionally, if @Cardinality a < Cardinality b@,
--- any @PackInto a b@ will waste some space, with larger cardinality differences
--- creating proportionately more waste.
-module Data.Finitary.PackInto 
-(
-  PackInto, pattern Packed
-) where
-
-import GHC.TypeNats
-import Data.Vector.Instances ()
-import Data.Kind (Type)
-import CoercibleUtils (op, over, over2)
-import Data.Hashable (Hashable(..))
-import Control.DeepSeq (NFData(..))
-import Foreign.Storable (Storable(..))
-import Foreign.Ptr (castPtr)
-import Data.Finitary (Finitary(..))
-import Data.Finite (weakenN, strengthenN)
-import Data.Maybe (fromJust)
-import Data.Ord (comparing)
-
-import qualified Data.Vector.Unboxed as VU
-import qualified Data.Vector.Generic as VG
-import qualified Data.Vector.Generic.Mutable as VGM
-
--- | An opaque wrapper, representing values of type @a@ as \'corresponding\'
--- values of type @b@.
-newtype PackInto (a :: Type) (b :: Type) = PackInto b
-  deriving (Eq, Show)
-
-type role PackInto nominal nominal
-
--- | To provide (something that resembles a) data constructor for 'PackInto', we
--- provide the following pattern. It can be used like any other data
--- constructor:
---
--- > import Data.Finitary.PackInt
--- >
--- > anInt :: PackInto Int Word
--- > anInt = Packed 10
--- >
--- > isPackedEven :: PackInto Int Word -> Bool
--- > isPackedEven (Packed x) = even x
---
--- __Every__ pattern match, and data constructor call, performs a re-encoding by
--- way of @fromFinite . toFinite@ on @b@ and @a@ respectively. Use with this in
--- mind.
-pattern Packed :: forall (b :: Type) (a :: Type) . 
-  (Finitary a, Finitary b, Cardinality a <= Cardinality b) =>
-  a -> PackInto a b
-pattern Packed x <- (unpackOutOf -> x)
-  where Packed x = packInto x
-
-instance (Ord a, Finitary a, Finitary b, Cardinality a <= Cardinality b) => Ord (PackInto a b) where
-  {-# INLINE compare #-}
-  compare = comparing @a (fromFinite . toFinite)
-
-instance (Hashable b) => Hashable (PackInto a b) where
-  {-# INLINE hashWithSalt #-}
-  hashWithSalt salt = over PackInto (hashWithSalt salt)
-
-instance (NFData b) => NFData (PackInto a b) where
-  {-# INLINE rnf #-}
-  rnf = over PackInto rnf
-
-instance (Storable b) => Storable (PackInto a b) where
-  {-# INLINE sizeOf #-}
-  sizeOf = over PackInto sizeOf
-  {-# INLINE alignment #-}
-  alignment = over PackInto alignment
-  {-# INLINE peek #-}
-  peek = fmap PackInto . peek . castPtr
-  {-# INLINE poke #-}
-  poke ptr = poke (castPtr ptr) . op PackInto
-
--- We can pack a into b if the cardinality of b is at least as large as a (could
--- be larger)
-instance (Finitary a, Finitary b, Cardinality a <= Cardinality b) => Finitary (PackInto a b) where
-  type Cardinality (PackInto a b) = Cardinality a
-  {-# INLINE fromFinite #-}
-  fromFinite = PackInto . fromFinite . weakenN
-  {-# INLINE toFinite #-}
-  toFinite = fromJust . strengthenN . toFinite . op PackInto
-
-instance (Finitary a, Finitary b, 1 <= Cardinality a, Cardinality a <= Cardinality b) => Bounded (PackInto a b) where
-  {-# INLINE minBound #-}
-  minBound = start
-  {-# INLINE maxBound #-}
-  maxBound = end 
-
-newtype instance VU.MVector s (PackInto a b) = MV_PackInto (VU.MVector s b)
-
-instance (VU.Unbox b) => VGM.MVector VU.MVector (PackInto a b) where
-  {-# INLINE basicLength #-}
-  basicLength = over MV_PackInto VGM.basicLength
-  {-# INLINE basicOverlaps #-}
-  basicOverlaps = over2 MV_PackInto VGM.basicOverlaps
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over MV_PackInto (VGM.basicUnsafeSlice i len)
-  {-# INLINE basicUnsafeNew #-}
-  basicUnsafeNew len = MV_PackInto <$> VGM.basicUnsafeNew len
-  {-# INLINE basicInitialize #-}
-  basicInitialize = VGM.basicInitialize . op MV_PackInto
-  {-# INLINE basicUnsafeRead #-}
-  basicUnsafeRead (MV_PackInto v) i = PackInto <$> VGM.basicUnsafeRead v i
-  {-# INLINE basicUnsafeWrite #-}
-  basicUnsafeWrite (MV_PackInto v) i (PackInto x) = VGM.basicUnsafeWrite v i x
-
-newtype instance VU.Vector (PackInto a b) = V_PackInto (VU.Vector b)
-
-instance (VU.Unbox b) => VG.Vector VU.Vector (PackInto a b) where
-  {-# INLINE basicLength #-}
-  basicLength = over V_PackInto VG.basicLength
-  {-# INLINE basicUnsafeFreeze #-}
-  basicUnsafeFreeze = fmap V_PackInto . VG.basicUnsafeFreeze . op MV_PackInto
-  {-# INLINE basicUnsafeThaw #-}
-  basicUnsafeThaw = fmap MV_PackInto . VG.basicUnsafeThaw . op V_PackInto
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over V_PackInto (VG.basicUnsafeSlice i len)
-  {-# INLINE basicUnsafeIndexM #-}
-  basicUnsafeIndexM (V_PackInto v) i = PackInto <$> VG.basicUnsafeIndexM v i
-
-instance (VU.Unbox b) => VU.Unbox (PackInto a b)
-
--- Helpers
-
-{-# INLINE packInto #-}
-packInto :: forall (b :: Type) (a :: Type) .
-  (Finitary a, Finitary b, Cardinality a <= Cardinality b) =>  
-  a -> PackInto a b
-packInto = fromFinite . toFinite
-
-{-# INLINE unpackOutOf #-}
-unpackOutOf :: forall (b :: Type) (a :: Type) . 
-  (Finitary a, Finitary b, Cardinality a <= Cardinality b) => 
-  PackInto a b -> a
-unpackOutOf = fromFinite . toFinite
+{-
+ - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
+ -
+ - This program is free software: you can redistribute it and/or modify
+ - it under the terms of the GNU General Public License as published by
+ - the Free Software Foundation, either version 3 of the License, or
+ - (at your option) any later version.
+ -
+ - This program is distributed in the hope that it will be useful,
+ - but WITHOUT ANY WARRANTY; without even the implied warranty of
+ - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ - GNU General Public License for more details.
+ -
+ - You should have received a copy of the GNU General Public License
+ - along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ -}
+
+{-# LANGUAGE RoleAnnotations #-}
+{-# LANGUAGE TypeInType #-}
+{-# LANGUAGE TypeFamilies #-}
+{-# LANGUAGE TypeOperators #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE ViewPatterns #-}
+{-# LANGUAGE PatternSynonyms #-}
+{-# LANGUAGE TypeApplications #-}
+
+-- |
+-- Module:        Data.Finitary.PackInto
+-- Description:   Scheme for packing @Finitary@ types into other @Finitary@
+--                types.
+-- Copyright:     (C) Koz Ross 2019
+-- License:       GPL version 3.0 or later
+-- Stability:     Experimental
+-- Portability:   GHC only
+--
+-- This allows us to \'borrow\' implementations of certain type classes from
+-- \'larger\' finitary types for \'smaller\' finitary types. Essentially, for
+-- any types @a@ and @b@, if both @a@ and @b@ are 'Finitary' and @Cardinality a
+-- <= Cardinality b@, the set of indexes for @a@ is a subset (strictly speaking,
+-- a prefix) of the set of indexes for @b@. Therefore, we have an injective
+-- mapping from @a@ to @b@, whose
+-- [preimage](https://en.wikipedia.org/wiki/Preimage)
+-- is also injective, witnessed by the function @fromFinite . toFinite@ in both
+-- directions. When combined with the monotonicity of @toFinite@ and
+-- @fromFinite@, we can operate on inhabitants of @b@ in certain ways while
+-- always being able to recover the \'equivalent\' inhabitant of @a@.
+--
+-- On this basis, we can \'borrow\' both 'VU.Unbox' and 'Storable' instances
+-- from @b@. This is done by way of the @PackInto a b@ type; here, @a@ is the
+-- type to which instances are being \'lent\' and @b@ is the type from which
+-- instances are being \'borrowed\'. @PackInto a b@ does not store any values of
+-- type @a@ - construction and deconstruction of @PackInto@ performs a
+-- conversion as described above.
+--
+-- If an existing 'Finitary' type exists with desired instances, this encoding
+-- is the most flexible and efficient. Unless you have good reasons to consider
+-- something else (such as space use), use this encoding. However, its
+-- usefulness is conditional on a suitable \'packing\' type existing of
+-- appropriate cardinality. Additionally, if @Cardinality a < Cardinality b@,
+-- any @PackInto a b@ will waste some space, with larger cardinality differences
+-- creating proportionately more waste.
+module Data.Finitary.PackInto 
+(
+  PackInto, pattern Packed
+) where
+
+import GHC.TypeNats
+import Data.Vector.Instances ()
+import Data.Kind (Type)
+import CoercibleUtils (op, over, over2)
+import Data.Hashable (Hashable(..))
+import Control.DeepSeq (NFData(..))
+import Foreign.Storable (Storable(..))
+import Foreign.Ptr (castPtr)
+import Data.Finitary (Finitary(..))
+import Data.Finite (weakenN, strengthenN)
+import Data.Maybe (fromJust)
+import Data.Ord (comparing)
+
+import qualified Data.Vector.Unboxed as VU
+import qualified Data.Vector.Generic as VG
+import qualified Data.Vector.Generic.Mutable as VGM
+
+-- | An opaque wrapper, representing values of type @a@ as \'corresponding\'
+-- values of type @b@.
+newtype PackInto (a :: Type) (b :: Type) = PackInto b
+  deriving (Eq, Show)
+
+type role PackInto nominal nominal
+
+-- | To provide (something that resembles a) data constructor for 'PackInto', we
+-- provide the following pattern. It can be used like any other data
+-- constructor:
+--
+-- > import Data.Finitary.PackInt
+-- >
+-- > anInt :: PackInto Int Word
+-- > anInt = Packed 10
+-- >
+-- > isPackedEven :: PackInto Int Word -> Bool
+-- > isPackedEven (Packed x) = even x
+--
+-- __Every__ pattern match, and data constructor call, performs a re-encoding by
+-- way of @fromFinite . toFinite@ on @b@ and @a@ respectively. Use with this in
+-- mind.
+pattern Packed :: forall (b :: Type) (a :: Type) . 
+  (Finitary a, Finitary b, Cardinality a <= Cardinality b) =>
+  a -> PackInto a b
+pattern Packed x <- (unpackOutOf -> x)
+  where Packed x = packInto x
+
+instance (Ord a, Finitary a, Finitary b, Cardinality a <= Cardinality b) => Ord (PackInto a b) where
+  {-# INLINE compare #-}
+  compare = comparing @a (fromFinite . toFinite)
+
+instance (Hashable b) => Hashable (PackInto a b) where
+  {-# INLINE hashWithSalt #-}
+  hashWithSalt salt = over PackInto (hashWithSalt salt)
+
+instance (NFData b) => NFData (PackInto a b) where
+  {-# INLINE rnf #-}
+  rnf = over PackInto rnf
+
+instance (Storable b) => Storable (PackInto a b) where
+  {-# INLINE sizeOf #-}
+  sizeOf = over PackInto sizeOf
+  {-# INLINE alignment #-}
+  alignment = over PackInto alignment
+  {-# INLINE peek #-}
+  peek = fmap PackInto . peek . castPtr
+  {-# INLINE poke #-}
+  poke ptr = poke (castPtr ptr) . op PackInto
+
+-- We can pack a into b if the cardinality of b is at least as large as a (could
+-- be larger)
+instance (Finitary a, Finitary b, Cardinality a <= Cardinality b) => Finitary (PackInto a b) where
+  type Cardinality (PackInto a b) = Cardinality a
+  {-# INLINE fromFinite #-}
+  fromFinite = PackInto . fromFinite . weakenN
+  {-# INLINE toFinite #-}
+  toFinite = fromJust . strengthenN . toFinite . op PackInto
+
+instance (Finitary a, Finitary b, 1 <= Cardinality a, Cardinality a <= Cardinality b) => Bounded (PackInto a b) where
+  {-# INLINE minBound #-}
+  minBound = start
+  {-# INLINE maxBound #-}
+  maxBound = end 
+
+newtype instance VU.MVector s (PackInto a b) = MV_PackInto (VU.MVector s b)
+
+instance (VU.Unbox b) => VGM.MVector VU.MVector (PackInto a b) where
+  {-# INLINE basicLength #-}
+  basicLength = over MV_PackInto VGM.basicLength
+  {-# INLINE basicOverlaps #-}
+  basicOverlaps = over2 MV_PackInto VGM.basicOverlaps
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over MV_PackInto (VGM.basicUnsafeSlice i len)
+  {-# INLINE basicUnsafeNew #-}
+  basicUnsafeNew len = MV_PackInto <$> VGM.basicUnsafeNew len
+  {-# INLINE basicInitialize #-}
+  basicInitialize = VGM.basicInitialize . op MV_PackInto
+  {-# INLINE basicUnsafeRead #-}
+  basicUnsafeRead (MV_PackInto v) i = PackInto <$> VGM.basicUnsafeRead v i
+  {-# INLINE basicUnsafeWrite #-}
+  basicUnsafeWrite (MV_PackInto v) i (PackInto x) = VGM.basicUnsafeWrite v i x
+
+newtype instance VU.Vector (PackInto a b) = V_PackInto (VU.Vector b)
+
+instance (VU.Unbox b) => VG.Vector VU.Vector (PackInto a b) where
+  {-# INLINE basicLength #-}
+  basicLength = over V_PackInto VG.basicLength
+  {-# INLINE basicUnsafeFreeze #-}
+  basicUnsafeFreeze = fmap V_PackInto . VG.basicUnsafeFreeze . op MV_PackInto
+  {-# INLINE basicUnsafeThaw #-}
+  basicUnsafeThaw = fmap MV_PackInto . VG.basicUnsafeThaw . op V_PackInto
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over V_PackInto (VG.basicUnsafeSlice i len)
+  {-# INLINE basicUnsafeIndexM #-}
+  basicUnsafeIndexM (V_PackInto v) i = PackInto <$> VG.basicUnsafeIndexM v i
+
+instance (VU.Unbox b) => VU.Unbox (PackInto a b)
+
+-- Helpers
+
+{-# INLINE packInto #-}
+packInto :: forall (b :: Type) (a :: Type) .
+  (Finitary a, Finitary b, Cardinality a <= Cardinality b) =>  
+  a -> PackInto a b
+packInto = fromFinite . toFinite
+
+{-# INLINE unpackOutOf #-}
+unpackOutOf :: forall (b :: Type) (a :: Type) . 
+  (Finitary a, Finitary b, Cardinality a <= Cardinality b) => 
+  PackInto a b -> a
+unpackOutOf = fromFinite . toFinite
diff --git a/src/Data/Finitary/PackWords.hs b/src/Data/Finitary/PackWords.hs
--- a/src/Data/Finitary/PackWords.hs
+++ b/src/Data/Finitary/PackWords.hs
@@ -1,244 +1,243 @@
-{-
- - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
- -
- - This program is free software: you can redistribute it and/or modify
- - it under the terms of the GNU General Public License as published by
- - the Free Software Foundation, either version 3 of the License, or
- - (at your option) any later version.
- -
- - This program is distributed in the hope that it will be useful,
- - but WITHOUT ANY WARRANTY; without even the implied warranty of
- - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- - GNU General Public License for more details.
- -
- - You should have received a copy of the GNU General Public License
- - along with this program.  If not, see <http://www.gnu.org/licenses/>.
- -}
-
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
-{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
-
-{-# LANGUAGE AllowAmbiguousTypes #-}
-{-# LANGUAGE TypeInType #-}
-{-# LANGUAGE RoleAnnotations #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE ViewPatterns #-}
-{-# LANGUAGE PatternSynonyms #-}
-{-# LANGUAGE TypeFamilies #-}
-{-# LANGUAGE TypeApplications #-}
-{-# LANGUAGE TypeOperators #-}
-{-# LANGUAGE MultiParamTypeClasses #-}
-
--- |
--- Module:        Data.Finitary.PackBytes
--- Description:   Scheme for packing @Finitary@ types into @Word@ arrays.
--- Copyright:     (C) Koz Ross 2019
--- License:       GPL version 3.0 or later
--- Maintainer:    koz.ross@retro-freedom.nz
--- Stability:     Experimental
--- Portability:   GHC only
---
--- If a type @a@ is 'Finitary', each inhabitant of @a@ has an index, which can
--- be represented as an unsigned integer, spread across one or more machine
--- words. This unsigned integer will have fixed length (as the number of
--- inhabitants of @a@ is finite). We can use this to derive a 'VU.Unbox'
--- instance, by representing 'VU.Vector' as a large array of machine words. We
--- can also derive a 'Storable' instance similarly.
---
--- This is the most efficient encoding of an arbitrary finitary type, both due
--- to the asymptotics of encoding and decoding (logarithmic in @Cardinality a@
--- with base @Cardinality Word@) and the fact that word accesses are faster than
--- byte and bit accesses on almost all architectures. Unless you have concerns
--- regarding space, this encoding is a good choice.
---
--- Unless your type's cardinality is extremely large (a non-trivial multiple of
--- @Cardinality Word@), this encoding is wasteful. If your type's cardinality is
--- smaller than that of @Word@, you should consider "Data.Finitary.PackInto"
--- instead, as you will have much larger control over space usage at almost no
--- performance penalty. 
-module Data.Finitary.PackWords 
-(
-  PackWords, pattern Packed
-) where
-
-import Data.Vector.Binary ()
-import Data.Vector.Instances ()
-import GHC.TypeNats
-import Data.Proxy (Proxy(..))
-import GHC.TypeLits.Extra
-import CoercibleUtils (op, over, over2)
-import Data.Kind (Type)
-import Data.Finitary (Finitary(..))
-import Data.Finite (Finite)
-import Foreign.Storable (Storable(..))
-import Foreign.Ptr (castPtr, plusPtr)
-import Numeric.Natural (Natural)
-import Data.Hashable (Hashable(..))
-import Control.DeepSeq (NFData(..))
-import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
-import Data.Semigroup (Dual(..))
-
-import qualified Data.Binary as Bin
-import qualified Data.Vector.Unboxed as VU
-import qualified Data.Vector.Generic as VG
-import qualified Data.Vector.Generic.Mutable as VGM
-
--- | An opaque wrapper around @a@, representing each value as a fixed-length
--- array of machine words.
-newtype PackWords (a :: Type) = PackWords (VU.Vector Word)
-  deriving (Eq, Show)
-
-type role PackWords nominal
-
--- | To provide (something that resembles a) data constructor for 'PackWords', we
--- provide the following pattern. It can be used like any other data
--- constructor:
---
--- > import Data.Finitary.PackWords
--- >
--- > anInt :: PackWords Int
--- > anInt = Packed 10
--- >
--- > isPackedEven :: PackWords Int -> Bool
--- > isPackedEven (Packed x) = even x
---
--- __Every__ pattern match, and data constructor call, performs a
--- \(\Theta(\log_{\texttt{Cardinality Word}}(\texttt{Cardinality a}))\) encoding or decoding of @a@.
--- Use with this in mind.
-pattern Packed :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackWords a
-pattern Packed x <- (unpackWords -> x)
-  where Packed x = packWords x
-
-instance Ord (PackWords a) where
-  compare (PackWords v1) (PackWords v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
-    where go input order = (order <>) . Dual . uncurry compare $ input
-
-instance Bin.Binary (PackWords a) where
-  {-# INLINE put #-}
-  put = Bin.put . op PackWords
-  {-# INLINE get #-}
-  get = PackWords <$> Bin.get
-
-instance Hashable (PackWords a) where
-  {-# INLINE hashWithSalt #-}
-  hashWithSalt salt = hashWithSalt salt . op PackWords
-
-instance NFData (PackWords a) where
-  {-# INLINE rnf #-}
-  rnf = rnf . op PackWords
-
-instance (Finitary a, 1 <= Cardinality a) => Finitary (PackWords a) where
-  type Cardinality (PackWords a) = Cardinality a
-  {-# INLINE fromFinite #-}
-  fromFinite = PackWords . intoWords
-  {-# INLINE toFinite #-}
-  toFinite = outOfWords . op PackWords
-
-instance (Finitary a, 1 <= Cardinality a) => Bounded (PackWords a) where
-  {-# INLINE minBound #-}
-  minBound = start
-  {-# INLINE maxBound #-}
-  maxBound = end
-
-instance (Finitary a, 1 <= Cardinality a) => Storable (PackWords a) where
-  {-# INLINE sizeOf #-}
-  sizeOf _ = wordLength @a * bytesPerWord
-  {-# INLINE alignment #-}
-  alignment _ = alignment (undefined :: Word)
-  {-# INLINE peek #-}
-  peek ptr = do let wordPtr = castPtr ptr
-                PackWords <$> VU.generateM (wordLength @a) (peek . plusPtr wordPtr . (* bytesPerWord))
-  {-# INLINE poke #-}
-  poke ptr (PackWords v) = do let wordPtr = castPtr ptr
-                              VU.foldM'_ go wordPtr v
-    where go p e = poke p e >> pure (plusPtr p bytesPerWord) 
-
-newtype instance VU.MVector s (PackWords a) = MV_PackWords (VU.MVector s Word)
-
-instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackWords a) where
-  {-# INLINE basicLength #-}
-  basicLength = over MV_PackWords ((`div` wordLength @a) . VGM.basicLength)
-  {-# INLINE basicOverlaps #-}
-  basicOverlaps = over2 MV_PackWords VGM.basicOverlaps
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over MV_PackWords (VGM.basicUnsafeSlice (i * wordLength @a) (len * wordLength @a))
-  {-# INLINE basicUnsafeNew #-}
-  basicUnsafeNew len = MV_PackWords <$> VGM.basicUnsafeNew (len * wordLength @a)
-  {-# INLINE basicInitialize #-}
-  basicInitialize = VGM.basicInitialize . op MV_PackWords
-  {-# INLINE basicUnsafeRead #-}
-  basicUnsafeRead (MV_PackWords v) i = fmap PackWords . VG.freeze . VGM.unsafeSlice (i * wordLength @a) (wordLength @a) $ v
-  {-# INLINE basicUnsafeWrite #-}
-  basicUnsafeWrite (MV_PackWords v) i (PackWords x) = let slice = VGM.unsafeSlice (i * wordLength @a) (wordLength @a) v in
-                                                        VG.unsafeCopy slice x
-
-newtype instance VU.Vector (PackWords a) = V_PackWords (VU.Vector Word)
-
-instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackWords a) where
-  {-# INLINE basicLength #-}
-  basicLength = over V_PackWords ((`div` wordLength @a) . VG.basicLength)
-  {-# INLINE basicUnsafeFreeze #-}
-  basicUnsafeFreeze = fmap V_PackWords . VG.basicUnsafeFreeze . op MV_PackWords
-  {-# INLINE basicUnsafeThaw #-}
-  basicUnsafeThaw = fmap MV_PackWords . VG.basicUnsafeThaw . op V_PackWords
-  {-# INLINE basicUnsafeSlice #-}
-  basicUnsafeSlice i len = over V_PackWords (VG.basicUnsafeSlice (i * wordLength @a) (len * wordLength @a))
-  {-# INLINE basicUnsafeIndexM #-}
-  basicUnsafeIndexM (V_PackWords v) i = pure . PackWords . VG.unsafeSlice (i * wordLength @a) (wordLength @a) $ v
-
-instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackWords a)
-
--- Helpers
-
-type WordLength a = CLog (Cardinality Word) (Cardinality a)
-
-{-# INLINE bitsPerWord #-}
-bitsPerWord :: forall (a :: Type) . 
-  (Num a) => 
-  a
-bitsPerWord = 8 * bytesPerWord
-
-{-# INLINE bytesPerWord #-}
-bytesPerWord :: forall (a :: Type) . 
-  (Num a) => 
-  a
-bytesPerWord = fromIntegral . sizeOf $ (undefined :: Word)
-
-{-# INLINE wordLength #-}
-wordLength :: forall (a :: Type) (b :: Type) . 
-  (Finitary a, 1 <= Cardinality a, Num b) => 
-  b
-wordLength = fromIntegral . natVal $ (Proxy :: Proxy (WordLength a))
-
-{-# INLINE packWords #-}
-packWords :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  a -> PackWords a
-packWords = fromFinite . toFinite
-
-{-# INLINE unpackWords #-}
-unpackWords :: forall (a :: Type) . 
-  (Finitary a, 1 <= Cardinality a) => 
-  PackWords a -> a
-unpackWords = fromFinite . toFinite
-
-{-# INLINE intoWords #-}
-intoWords :: forall (n :: Nat) . 
-  (KnownNat n, 1 <= n) => 
-  Finite n -> VU.Vector Word
-intoWords = evalState (VU.replicateM (wordLength @(Finite n)) go) . fromIntegral @_ @Natural
-  where go = do remaining <- get
-                let (d, r) = quotRem remaining bitsPerWord
-                put d >> pure (fromIntegral r)
-
-{-# INLINE outOfWords #-}
-outOfWords :: forall (n :: Nat) . 
-  (KnownNat n) => 
-  VU.Vector Word -> Finite n
-outOfWords v = evalState (VU.foldM' go 0 v) 1
-  where go old w = do power <- get
-                      let placeValue = power * fromIntegral w
-                      modify (* bitsPerWord)
-                      return (old + placeValue)
+{-
+ - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
+ -
+ - This program is free software: you can redistribute it and/or modify
+ - it under the terms of the GNU General Public License as published by
+ - the Free Software Foundation, either version 3 of the License, or
+ - (at your option) any later version.
+ -
+ - This program is distributed in the hope that it will be useful,
+ - but WITHOUT ANY WARRANTY; without even the implied warranty of
+ - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ - GNU General Public License for more details.
+ -
+ - You should have received a copy of the GNU General Public License
+ - along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ -}
+
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
+{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
+
+{-# LANGUAGE AllowAmbiguousTypes #-}
+{-# LANGUAGE TypeInType #-}
+{-# LANGUAGE RoleAnnotations #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE ViewPatterns #-}
+{-# LANGUAGE PatternSynonyms #-}
+{-# LANGUAGE TypeFamilies #-}
+{-# LANGUAGE TypeApplications #-}
+{-# LANGUAGE TypeOperators #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+
+-- |
+-- Module:        Data.Finitary.PackBytes
+-- Description:   Scheme for packing @Finitary@ types into @Word@ arrays.
+-- Copyright:     (C) Koz Ross 2019
+-- License:       GPL version 3.0 or later
+-- Stability:     Experimental
+-- Portability:   GHC only
+--
+-- If a type @a@ is 'Finitary', each inhabitant of @a@ has an index, which can
+-- be represented as an unsigned integer, spread across one or more machine
+-- words. This unsigned integer will have fixed length (as the number of
+-- inhabitants of @a@ is finite). We can use this to derive a 'VU.Unbox'
+-- instance, by representing 'VU.Vector' as a large array of machine words. We
+-- can also derive a 'Storable' instance similarly.
+--
+-- This is the most efficient encoding of an arbitrary finitary type, both due
+-- to the asymptotics of encoding and decoding (logarithmic in @Cardinality a@
+-- with base @Cardinality Word@) and the fact that word accesses are faster than
+-- byte and bit accesses on almost all architectures. Unless you have concerns
+-- regarding space, this encoding is a good choice.
+--
+-- Unless your type's cardinality is extremely large (a non-trivial multiple of
+-- @Cardinality Word@), this encoding is wasteful. If your type's cardinality is
+-- smaller than that of @Word@, you should consider "Data.Finitary.PackInto"
+-- instead, as you will have much larger control over space usage at almost no
+-- performance penalty. 
+module Data.Finitary.PackWords 
+(
+  PackWords, pattern Packed
+) where
+
+import Data.Vector.Binary ()
+import Data.Vector.Instances ()
+import GHC.TypeNats
+import Data.Proxy (Proxy(..))
+import GHC.TypeLits.Extra
+import CoercibleUtils (op, over, over2)
+import Data.Kind (Type)
+import Data.Finitary (Finitary(..))
+import Data.Finite (Finite)
+import Foreign.Storable (Storable(..))
+import Foreign.Ptr (castPtr, plusPtr)
+import Numeric.Natural (Natural)
+import Data.Hashable (Hashable(..))
+import Control.DeepSeq (NFData(..))
+import Control.Monad.Trans.State.Strict (evalState, get, modify, put)
+import Data.Semigroup (Dual(..))
+
+import qualified Data.Binary as Bin
+import qualified Data.Vector.Unboxed as VU
+import qualified Data.Vector.Generic as VG
+import qualified Data.Vector.Generic.Mutable as VGM
+
+-- | An opaque wrapper around @a@, representing each value as a fixed-length
+-- array of machine words.
+newtype PackWords (a :: Type) = PackWords (VU.Vector Word)
+  deriving (Eq, Show)
+
+type role PackWords nominal
+
+-- | To provide (something that resembles a) data constructor for 'PackWords', we
+-- provide the following pattern. It can be used like any other data
+-- constructor:
+--
+-- > import Data.Finitary.PackWords
+-- >
+-- > anInt :: PackWords Int
+-- > anInt = Packed 10
+-- >
+-- > isPackedEven :: PackWords Int -> Bool
+-- > isPackedEven (Packed x) = even x
+--
+-- __Every__ pattern match, and data constructor call, performs a
+-- \(\Theta(\log_{\texttt{Cardinality Word}}(\texttt{Cardinality a}))\) encoding or decoding of @a@.
+-- Use with this in mind.
+pattern Packed :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackWords a
+pattern Packed x <- (unpackWords -> x)
+  where Packed x = packWords x
+
+instance Ord (PackWords a) where
+  compare (PackWords v1) (PackWords v2) = getDual . VU.foldr go (Dual EQ) . VU.zipWith (,) v1 $ v2
+    where go input order = (order <>) . Dual . uncurry compare $ input
+
+instance Bin.Binary (PackWords a) where
+  {-# INLINE put #-}
+  put = Bin.put . op PackWords
+  {-# INLINE get #-}
+  get = PackWords <$> Bin.get
+
+instance Hashable (PackWords a) where
+  {-# INLINE hashWithSalt #-}
+  hashWithSalt salt = hashWithSalt salt . op PackWords
+
+instance NFData (PackWords a) where
+  {-# INLINE rnf #-}
+  rnf = rnf . op PackWords
+
+instance (Finitary a, 1 <= Cardinality a) => Finitary (PackWords a) where
+  type Cardinality (PackWords a) = Cardinality a
+  {-# INLINE fromFinite #-}
+  fromFinite = PackWords . intoWords
+  {-# INLINE toFinite #-}
+  toFinite = outOfWords . op PackWords
+
+instance (Finitary a, 1 <= Cardinality a) => Bounded (PackWords a) where
+  {-# INLINE minBound #-}
+  minBound = start
+  {-# INLINE maxBound #-}
+  maxBound = end
+
+instance (Finitary a, 1 <= Cardinality a) => Storable (PackWords a) where
+  {-# INLINE sizeOf #-}
+  sizeOf _ = wordLength @a * bytesPerWord
+  {-# INLINE alignment #-}
+  alignment _ = alignment (undefined :: Word)
+  {-# INLINE peek #-}
+  peek ptr = do let wordPtr = castPtr ptr
+                PackWords <$> VU.generateM (wordLength @a) (peek . plusPtr wordPtr . (* bytesPerWord))
+  {-# INLINE poke #-}
+  poke ptr (PackWords v) = do let wordPtr = castPtr ptr
+                              VU.foldM'_ go wordPtr v
+    where go p e = poke p e >> pure (plusPtr p bytesPerWord) 
+
+newtype instance VU.MVector s (PackWords a) = MV_PackWords (VU.MVector s Word)
+
+instance (Finitary a, 1 <= Cardinality a) => VGM.MVector VU.MVector (PackWords a) where
+  {-# INLINE basicLength #-}
+  basicLength = over MV_PackWords ((`div` wordLength @a) . VGM.basicLength)
+  {-# INLINE basicOverlaps #-}
+  basicOverlaps = over2 MV_PackWords VGM.basicOverlaps
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over MV_PackWords (VGM.basicUnsafeSlice (i * wordLength @a) (len * wordLength @a))
+  {-# INLINE basicUnsafeNew #-}
+  basicUnsafeNew len = MV_PackWords <$> VGM.basicUnsafeNew (len * wordLength @a)
+  {-# INLINE basicInitialize #-}
+  basicInitialize = VGM.basicInitialize . op MV_PackWords
+  {-# INLINE basicUnsafeRead #-}
+  basicUnsafeRead (MV_PackWords v) i = fmap PackWords . VG.freeze . VGM.unsafeSlice (i * wordLength @a) (wordLength @a) $ v
+  {-# INLINE basicUnsafeWrite #-}
+  basicUnsafeWrite (MV_PackWords v) i (PackWords x) = let slice = VGM.unsafeSlice (i * wordLength @a) (wordLength @a) v in
+                                                        VG.unsafeCopy slice x
+
+newtype instance VU.Vector (PackWords a) = V_PackWords (VU.Vector Word)
+
+instance (Finitary a, 1 <= Cardinality a) => VG.Vector VU.Vector (PackWords a) where
+  {-# INLINE basicLength #-}
+  basicLength = over V_PackWords ((`div` wordLength @a) . VG.basicLength)
+  {-# INLINE basicUnsafeFreeze #-}
+  basicUnsafeFreeze = fmap V_PackWords . VG.basicUnsafeFreeze . op MV_PackWords
+  {-# INLINE basicUnsafeThaw #-}
+  basicUnsafeThaw = fmap MV_PackWords . VG.basicUnsafeThaw . op V_PackWords
+  {-# INLINE basicUnsafeSlice #-}
+  basicUnsafeSlice i len = over V_PackWords (VG.basicUnsafeSlice (i * wordLength @a) (len * wordLength @a))
+  {-# INLINE basicUnsafeIndexM #-}
+  basicUnsafeIndexM (V_PackWords v) i = pure . PackWords . VG.unsafeSlice (i * wordLength @a) (wordLength @a) $ v
+
+instance (Finitary a, 1 <= Cardinality a) => VU.Unbox (PackWords a)
+
+-- Helpers
+
+type WordLength a = CLog (Cardinality Word) (Cardinality a)
+
+{-# INLINE bitsPerWord #-}
+bitsPerWord :: forall (a :: Type) . 
+  (Num a) => 
+  a
+bitsPerWord = 8 * bytesPerWord
+
+{-# INLINE bytesPerWord #-}
+bytesPerWord :: forall (a :: Type) . 
+  (Num a) => 
+  a
+bytesPerWord = fromIntegral . sizeOf $ (undefined :: Word)
+
+{-# INLINE wordLength #-}
+wordLength :: forall (a :: Type) (b :: Type) . 
+  (Finitary a, 1 <= Cardinality a, Num b) => 
+  b
+wordLength = fromIntegral . natVal $ (Proxy :: Proxy (WordLength a))
+
+{-# INLINE packWords #-}
+packWords :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  a -> PackWords a
+packWords = fromFinite . toFinite
+
+{-# INLINE unpackWords #-}
+unpackWords :: forall (a :: Type) . 
+  (Finitary a, 1 <= Cardinality a) => 
+  PackWords a -> a
+unpackWords = fromFinite . toFinite
+
+{-# INLINE intoWords #-}
+intoWords :: forall (n :: Nat) . 
+  (KnownNat n, 1 <= n) => 
+  Finite n -> VU.Vector Word
+intoWords = evalState (VU.replicateM (wordLength @(Finite n)) go) . fromIntegral @_ @Natural
+  where go = do remaining <- get
+                let (d, r) = quotRem remaining bitsPerWord
+                put d >> pure (fromIntegral r)
+
+{-# INLINE outOfWords #-}
+outOfWords :: forall (n :: Nat) . 
+  (KnownNat n) => 
+  VU.Vector Word -> Finite n
+outOfWords v = evalState (VU.foldM' go 0 v) 1
+  where go old w = do power <- get
+                      let placeValue = power * fromIntegral w
+                      modify (* bitsPerWord)
+                      return (old + placeValue)
diff --git a/test/Main.hs b/test/Main.hs
--- a/test/Main.hs
+++ b/test/Main.hs
@@ -1,106 +1,106 @@
-{-
- - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
- -
- - This program is free software: you can redistribute it and/or modify
- - it under the terms of the GNU General Public License as published by
- - the Free Software Foundation, either version 3 of the License, or
- - (at your option) any later version.
- -
- - This program is distributed in the hope that it will be useful,
- - but WITHOUT ANY WARRANTY; without even the implied warranty of
- - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- - GNU General Public License for more details.
- -
- - You should have received a copy of the GNU General Public License
- - along with this program.  If not, see <http://www.gnu.org/licenses/>.
- -}
-
-{-# LANGUAGE OverloadedStrings #-}
-{-# LANGUAGE AllowAmbiguousTypes #-}
-{-# LANGUAGE TypeInType #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE TypeApplications #-}
-{-# LANGUAGE DeriveGeneric #-}
-{-# LANGUAGE DeriveAnyClass #-}
-{-# LANGUAGE DerivingVia #-}
-
-module Main where
-
-import Data.Kind (Type)
-import GHC.TypeNats
-import GHC.Generics (Generic)
-import Data.Word (Word8, Word16, Word64)
-import Hedgehog
-import Hedgehog.Classes
-import Data.Finitary (Finitary(..))
-import Data.Finite (Finite)
-import Data.Proxy (Proxy(..))
-import Control.DeepSeq (NFData)
-import Data.Hashable (Hashable(..))
-import Data.Binary (Binary)
-import Foreign.Storable (Storable)
-
-import qualified Hedgehog.Gen as G
-import qualified Hedgehog.Range as R
-
-import Data.Finitary.Finiteness (Finiteness(..))
-import Data.Finitary.PackBytes (PackBytes)
-import Data.Finitary.PackWords (PackWords)
-import Data.Finitary.PackInto (PackInto)
-
-import qualified Data.Finitary.PackBits as Safe
-import qualified Data.Finitary.PackBits.Unsafe as Unsafe
-import qualified Data.Finitary.PackBytes as PackBytes
-import qualified Data.Finitary.PackWords as PackWords
-
-data Foo = Bar | Baz Word8 Word8 | Quux Word16
-  deriving (Eq, Show, Generic, Finitary)
-  deriving (Ord, Bounded, NFData, Hashable, Binary) via (Finiteness Foo)
-
-data Big = Big Word64 Word64
-  deriving (Eq, Show, Generic, Finitary)
-  deriving (Ord, Bounded, NFData, Hashable, Binary) via (Finiteness Big)
-
--- Generators
-choose :: forall (a :: Type) m . (MonadGen m, Finitary a) => m a
-choose = fromFinite <$> chooseFinite
-
-chooseFinite :: forall (n :: Nat) m . (KnownNat n, MonadGen m) => m (Finite n)
-chooseFinite = fromIntegral <$> G.integral (R.linear 0 limit)
-  where limit = subtract @Integer 1 . fromIntegral . natVal @n $ Proxy
-
-finitenessLaws :: (Show a, Binary a, Ord a) => Gen a -> [Laws]
-finitenessLaws p = [binaryLaws p, ordLaws p]
-
-packLaws :: (Eq a, Show a, Storable a) => Gen a -> [Laws]
-packLaws p = [storableLaws p]
-
-ordIsMonotonic :: forall (a :: Type) (t :: Type -> Type) . 
-  (Finitary a, Show a, Ord a, Ord (t a)) => 
-  (a -> t a) -> Property
-ordIsMonotonic f = property $ do x <- forAll $ choose @a
-                                 y <- forAll $ choose @a
-                                 (x < y) === (f x < f y)
-
-finitenessTests :: [(String, [Laws])]
-finitenessTests = [("Small Finiteness", finitenessLaws @Foo choose),
-                   ("Big Finiteness", finitenessLaws @Big choose)]
-
-packTests :: [(String, [Laws])]
-packTests = [("Small PackBytes", packLaws @(PackBytes Foo) choose),
-             ("Big PackBytes", packLaws @(PackBytes Big) choose),
-             ("Small PackWords", packLaws @(PackWords Foo) choose),
-             ("Big PackWords", packLaws @(PackWords Big) choose),
-             ("Small packed into Word64", packLaws @(PackInto Foo Word64) choose)]
-
-main :: IO Bool
-main = (&&) <$> checkLaws <*> checkMonotonicity
-  where checkLaws = (&&) <$> lawsCheckMany finitenessTests <*> lawsCheckMany packTests
-        checkMonotonicity = checkParallel . Group "Monotonicity" $ [("Small PackBits", ordIsMonotonic @Foo Safe.Packed),
-                                                                    ("Small unsafe PackBits", ordIsMonotonic @Foo Unsafe.Packed),
-                                                                    ("Small PackBytes", ordIsMonotonic @Foo PackBytes.Packed),
-                                                                    ("Small PackWords", ordIsMonotonic @Foo PackWords.Packed),
-                                                                    ("Big PackBits", ordIsMonotonic @Big Safe.Packed),
-                                                                    ("Big unsafe PackBits", ordIsMonotonic @Big Unsafe.Packed),
-                                                                    ("Big PackBytes", ordIsMonotonic @Big PackBytes.Packed),
-                                                                    ("Big PackWords", ordIsMonotonic @Big PackWords.Packed)]
+{-
+ - Copyright (C) 2019  Koz Ross <koz.ross@retro-freedom.nz>
+ -
+ - This program is free software: you can redistribute it and/or modify
+ - it under the terms of the GNU General Public License as published by
+ - the Free Software Foundation, either version 3 of the License, or
+ - (at your option) any later version.
+ -
+ - This program is distributed in the hope that it will be useful,
+ - but WITHOUT ANY WARRANTY; without even the implied warranty of
+ - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ - GNU General Public License for more details.
+ -
+ - You should have received a copy of the GNU General Public License
+ - along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ -}
+
+{-# LANGUAGE OverloadedStrings #-}
+{-# LANGUAGE AllowAmbiguousTypes #-}
+{-# LANGUAGE TypeInType #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE TypeApplications #-}
+{-# LANGUAGE DeriveGeneric #-}
+{-# LANGUAGE DeriveAnyClass #-}
+{-# LANGUAGE DerivingVia #-}
+
+module Main where
+
+import Data.Kind (Type)
+import GHC.TypeNats
+import GHC.Generics (Generic)
+import Data.Word (Word8, Word16, Word64)
+import Hedgehog
+import Hedgehog.Classes
+import Data.Finitary (Finitary(..))
+import Data.Finite (Finite)
+import Data.Proxy (Proxy(..))
+import Control.DeepSeq (NFData)
+import Data.Hashable (Hashable(..))
+import Data.Binary (Binary)
+import Foreign.Storable (Storable)
+
+import qualified Hedgehog.Gen as G
+import qualified Hedgehog.Range as R
+
+import Data.Finitary.Finiteness (Finiteness(..))
+import Data.Finitary.PackBytes (PackBytes)
+import Data.Finitary.PackWords (PackWords)
+import Data.Finitary.PackInto (PackInto)
+
+import qualified Data.Finitary.PackBits as Safe
+import qualified Data.Finitary.PackBits.Unsafe as Unsafe
+import qualified Data.Finitary.PackBytes as PackBytes
+import qualified Data.Finitary.PackWords as PackWords
+
+data Foo = Bar | Baz Word8 Word8 | Quux Word16
+  deriving (Eq, Show, Generic, Finitary)
+  deriving (Ord, Bounded, NFData, Hashable, Binary) via (Finiteness Foo)
+
+data Big = Big Word64 Word64
+  deriving (Eq, Show, Generic, Finitary)
+  deriving (Ord, Bounded, NFData, Hashable, Binary) via (Finiteness Big)
+
+-- Generators
+choose :: forall (a :: Type) m . (MonadGen m, Finitary a) => m a
+choose = fromFinite <$> chooseFinite
+
+chooseFinite :: forall (n :: Nat) m . (KnownNat n, MonadGen m) => m (Finite n)
+chooseFinite = fromIntegral <$> G.integral (R.linear 0 limit)
+  where limit = subtract @Integer 1 . fromIntegral . natVal @n $ Proxy
+
+finitenessLaws :: (Show a, Binary a, Ord a) => Gen a -> [Laws]
+finitenessLaws p = [binaryLaws p, ordLaws p]
+
+packLaws :: (Eq a, Show a, Storable a) => Gen a -> [Laws]
+packLaws p = [storableLaws p]
+
+ordIsMonotonic :: forall (a :: Type) (t :: Type -> Type) . 
+  (Finitary a, Show a, Ord a, Ord (t a)) => 
+  (a -> t a) -> Property
+ordIsMonotonic f = property $ do x <- forAll $ choose @a
+                                 y <- forAll $ choose @a
+                                 (x < y) === (f x < f y)
+
+finitenessTests :: [(String, [Laws])]
+finitenessTests = [("Small Finiteness", finitenessLaws @Foo choose),
+                   ("Big Finiteness", finitenessLaws @Big choose)]
+
+packTests :: [(String, [Laws])]
+packTests = [("Small PackBytes", packLaws @(PackBytes Foo) choose),
+             ("Big PackBytes", packLaws @(PackBytes Big) choose),
+             ("Small PackWords", packLaws @(PackWords Foo) choose),
+             ("Big PackWords", packLaws @(PackWords Big) choose),
+             ("Small packed into Word64", packLaws @(PackInto Foo Word64) choose)]
+
+main :: IO Bool
+main = (&&) <$> checkLaws <*> checkMonotonicity
+  where checkLaws = (&&) <$> lawsCheckMany finitenessTests <*> lawsCheckMany packTests
+        checkMonotonicity = checkParallel . Group "Monotonicity" $ [("Small PackBits", ordIsMonotonic @Foo Safe.Packed),
+                                                                    ("Small unsafe PackBits", ordIsMonotonic @Foo Unsafe.Packed),
+                                                                    ("Small PackBytes", ordIsMonotonic @Foo PackBytes.Packed),
+                                                                    ("Small PackWords", ordIsMonotonic @Foo PackWords.Packed),
+                                                                    ("Big PackBits", ordIsMonotonic @Big Safe.Packed),
+                                                                    ("Big unsafe PackBits", ordIsMonotonic @Big Unsafe.Packed),
+                                                                    ("Big PackBytes", ordIsMonotonic @Big PackBytes.Packed),
+                                                                    ("Big PackWords", ordIsMonotonic @Big PackWords.Packed)]
