packages feed

elynx-tree (empty) → 0.0.1

raw patch · 31 files changed

+3484/−0 lines, 31 filesdep +QuickCheckdep +basedep +bytestring

Dependencies added: QuickCheck, base, bytestring, containers, elynx-tools, elynx-tree, hspec, hspec-megaparsec, lifted-async, math-functions, megaparsec, mwc-random, optparse-applicative, parallel, primitive, quickcheck-instances, statistics, transformers, vector

Files

+ ChangeLog.md view
@@ -0,0 +1,10 @@++# Table of Contents++1.  [Changelog for ELynx](#org9916021)+++<a id="org9916021"></a>++# Changelog for ELynx+
+ LICENSE view
@@ -0,0 +1,674 @@+                    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+purposes of this definition, "control" includes the right to grant+patent sublicenses in a manner consistent with the requirements of+this License.++  Each contributor grants you a non-exclusive, worldwide, royalty-free+patent license under the contributor's essential patent claims, to+make, use, sell, offer for sale, import and otherwise run, modify and+propagate the contents of its contributor version.++  In the following three paragraphs, a "patent license" is any express+agreement or commitment, however denominated, not to enforce a patent+(such as an express permission to practice a patent or covenant not to+sue for patent infringement).  To "grant" such a patent license to a+party means to make such an agreement or commitment not to enforce a+patent against the party.++  If you convey a covered work, knowingly relying on a patent license,+and the Corresponding Source of the work is not available for anyone+to copy, free of charge and under the terms of this License, through a+publicly available network server or other readily accessible means,+then you must either (1) cause the Corresponding Source to be so+available, or (2) arrange to deprive yourself of the benefit of the+patent license for this particular work, or (3) arrange, in a manner+consistent with the requirements of this License, to extend the patent+license to downstream recipients.  "Knowingly relying" means you have+actual knowledge that, but for the patent license, your conveying the+covered work in a country, or your recipient's use of the covered work+in a country, would infringe one or more identifiable patents in that+country that you have reason to believe are valid.++  If, pursuant to or in connection with a single transaction or+arrangement, you convey, or propagate by procuring conveyance of, a+covered work, and grant a patent license to some of the parties+receiving the covered work authorizing them to use, propagate, modify+or convey a specific copy of the covered work, then the patent license+you grant is automatically extended to all recipients of the covered+work and works based on it.++  A patent license is "discriminatory" if it does not include within+the scope of its coverage, prohibits the exercise of, or is+conditioned on the non-exercise of one or more of the rights that are+specifically granted under this License.  You may not convey a covered+work if you are a party to an arrangement with a third party that is+in the business of distributing software, under which you make payment+to the third party based on the extent of your activity of conveying+the work, and under which the third party grants, to any of the+parties who would receive the covered work from you, a discriminatory+patent license (a) in connection with copies of the covered work+conveyed by you (or copies made from those copies), or (b) primarily+for and in connection with specific products or compilations that+contain the covered work, unless you entered into that arrangement,+or that patent 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.++  If conditions are imposed on you (whether by court order, agreement or+otherwise) that contradict the conditions of this License, they do not+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>.
+ README.md view
@@ -0,0 +1,417 @@+++# The ELynx Suite++Version: 0.0.1.+Reproducible evolution made easy.++The ELynx Suite is a Haskell library and a tool set for computational biology.+The goal of the ELynx Suite is reproducible research. Evolutionary sequences and+phylogenetic trees can be read, viewed, modified and simulated. Exact+specification of all options is necessary, and nothing is assumed about the data+(e.g., the type of code). The command line with all arguments is consistently,+and automatically logged. The work overhead in the beginning usually pays off in+the end.++The Elynx Suite consists of three library packages and two executables providing+a range of sub commands.++The library packages are:++-   **elynx-seq:** Handle evolutionary sequences and multi sequence alignments;+-   **elynx-tree:** Handle phylogenetic trees;+-   **elynx-tools:** Tools for the provided executables;++The executables are:++-   **SLynx:** Analyze, modify, and simulate evolutionary sequences (FASTA format);+-   **TLynx:** Analyze, modify, and simulate phylogenetic trees (Newick format).++**ELynx is still under development. We happily receive comments, ideas, feature+requests, or pull requests!**+++# Installation++ELynx is written in [Haskell](https://www.haskell.org/) and can be installed with [Stack](https://docs.haskellstack.org/en/stable/README/).++1.  Install Stack with your package manager, or directly from the web+    page.+    +        curl -sSL https://get.haskellstack.org/ | sh++2.  Clone the ELynx repository.+    +        git clone clone https://github.com/dschrempf/elynx++3.  Navigate to the newly created `elynx` folder and build the binaries.+    This will take a while.+    +        stack build++4.  Run a binary from within the project directory. For example,+    +        stack exec tlynx -- --help++5.  If needed, install the binaries.+    +        stack install+    +    The binaries are installed into `~/.local/bin/` which has to be added [PATH](https://en.wikipedia.org/wiki/PATH_(variable)).+    Then, they can be used directly.+++# SLynx++Handle evolutionary sequences.++    slynx --help++    ELynx Suite version 0.5.1. Developed by Dominik Schrempf. Compiled on September+    9, 2019, at 10:48 am, UTC.+    +    Usage: slynx [-v|--verbosity VALUE] [-o|--output-file-basename NAME] COMMAND+      Analyze, and simulate multi sequence alignments.+    +    Available options:+      -h,--help                Show this help text+      -V,--version             Show version+      -v,--verbosity VALUE     Be verbose; one of: Quiet Warning Info+                               Debug (default: Info)+      -o,--output-file-basename NAME+                               Specify base name of output file+    +    Available commands:+      concatenate              +      examine                  If data is a multi sequence alignment, additionally+                               analyze columns.+      filter-rows              +      filter-columns           +      simulate                 +      sub-sample               Create a given number of multi sequence alignments,+                               each of which containing a given number of random+                               sites drawn from the original multi sequence+                               alignment.+      translate                +    +    File formats:+      - FASTA+    +    Alphabet types:+      - DNA (nucleotides)+      - DNAX (nucleotides; including gaps)+      - DNAI (nucleotides; including gaps, and IUPAC codes)+      - Protein (amino acids)+      - ProteinX (amino acids; including gaps)+      - ProteinS (amino acids; including gaps, and translation stops)+      - ProteinI (amino acids; including gaps, translation stops, and IUPAC codes)+    +    The ELynx Suite.+    A Haskell library and a tool set for computational biology. The goal of the+    ELynx Suite is reproducible research. Evolutionary sequences and phylogenetic+    trees can be read, viewed, modified and simulated. Exact specification of all+    options is necessary, and nothing is assumed about the data (e.g., the type of+    code). The command line with all arguments is consistently, and automatically+    logged. The work overhead in the beginning usually pays off in the end.+    slynx     Analyze, modify, and simulate evolutionary sequences.+    tlynx     Analyze, modify, and simulate phylogenetic trees.+++## Concatenate++Concatenate multi sequence alignments.++    slynx concatenate --help++    Concatenate sequences found in input files.+    +    Usage: slynx concatenate (-a|--alphabet NAME) INPUT-FILE+    +    Available options:+      -a,--alphabet NAME       Specify alphabet type NAME+      INPUT-FILE               Read sequences from INPUT-FILE+      -h,--help                Show this help text+++## Examine++Examine sequence with `slynx examine`.++    slynx examine --help++    Examine sequences.+    +    Usage: slynx examine (-a|--alphabet NAME) [INPUT-FILE] [--per-site]+      If data is a multi sequence alignment, additionally analyze columns.+    +    Available options:+      -a,--alphabet NAME       Specify alphabet type NAME+      INPUT-FILE               Read sequences from INPUT-FILE+      --per-site               Report per site summary statistics+      -h,--help                Show this help text+++## Filter++Filter sequences with `filer-rows`.++    slynx filter-rows --help++    Filter rows (or sequences) found in input files.+    +    Usage: slynx filter-rows (-a|--alphabet NAME) [INPUT-FILE]+                             [--longer-than LENGTH] [--shorter-than LENGTH]+    +    Available options:+      -a,--alphabet NAME       Specify alphabet type NAME+      INPUT-FILE               Read sequences from INPUT-FILE+      --longer-than LENGTH     Only keep sequences longer than LENGTH+      --shorter-than LENGTH    Only keep sequences shorter than LENGTH+      -h,--help                Show this help text++Filter columns of multi sequence alignments with `filter-columns`.++    slynx filter-columns --help++    Filter columns of multi-sequence alignments.+    +    Usage: slynx filter-columns (-a|--alphabet NAME) [INPUT-FILE]+                                [--standard-chars DOUBLE]+    +    Available options:+      -a,--alphabet NAME       Specify alphabet type NAME+      INPUT-FILE               Read sequences from INPUT-FILE+      --standard-chars DOUBLE  Keep columns with a proportion standard (non-IUPAC)+                               characters larger than DOUBLE in [0,1]+      -h,--help                Show this help text+++## Simulate++Simulate sequences with `slynx simulate`.++    slynx simulate --help++    Simulate multi sequence alignments.+    +    Usage: slynx simulate (-t|--tree-file Name) [-s|--substitution-model MODEL]+                          [-m|--mixture-model MODEL] [-e|--edm-file NAME]+                          [-w|--mixture-model-weights "[DOUBLE,DOUBLE,...]"]+                          [-g|--gamma-rate-heterogeneity "(NCAT,SHAPE)"]+                          (-l|--length NUMBER) [-S|--seed [INT]]+    +    Available options:+      -t,--tree-file Name      Read trees from file NAME+      -s,--substitution-model MODEL+                               Set the phylogenetic substitution model; available+                               models are shown below (mutually exclusive with -m+                               option)+      -m,--mixture-model MODEL Set the phylogenetic mixture model; available models+                               are shown below (mutually exclusive with -s option)+      -e,--edm-file NAME       Empirical distribution model file NAME in Phylobayes+                               format+      -w,--mixture-model-weights "[DOUBLE,DOUBLE,...]"+                               Weights of mixture model components+      -g,--gamma-rate-heterogeneity "(NCAT,SHAPE)"+                               Number of gamma rate categories and shape parameter+      -l,--length NUMBER       Set alignment length to NUMBER+      -S,--seed [INT]          Seed for random number generator; list of 32 bit+                               integers with up to 256 elements (default: random)+      -h,--help                Show this help text+    +    Substitution models:+    -s "MODEL[PARAMETER,PARAMETER,...]{STATIONARY_DISTRIBUTION}"+       Supported DNA models: JC, HKY.+         For example,+           -s HKY[KAPPA]{DOUBLE,DOUBLE,DOUBLE,DOUBLE}+       Supported Protein models: Poisson, Poisson-Custom, LG, LG-Custom, WAG, WAG-Custom.+         MODEL-Custom means that only the exchangeabilities of MODEL are used,+         and a custom stationary distribution is provided.+         For example,+           -s LG-Custom{...}+    +    Mixture models:+    -m "MIXTURE(SUBSTITUTION_MODEL_1,SUBSTITUTION_MODEL_2)"+       For example,+         -m "MIXTURE(JC,HKY[6.0]{0.3,0.2,0.2,0.3})"+    Mixture weights have to be provided with the -w option.+    +    Special mixture models:+    -m CXX+       where XX is 10, 20, 30, 40, 50, or 60; CXX models, Quang et al., 2008.+    -m "EDM(EXCHANGEABILITIES)"+       Arbitrary empirical distribution mixture (EDM) models.+       Stationary distributions have to be provided with the -e option.+       For example,+         LG exchangeabilities with stationary distributions given in FILE.+         -m "EDM(LG-Custom)" -e FILE+    For special mixture models, mixture weights are optional.+++## Sub-sample++Sub-sample columns from multi sequence alignments.++    slynx sub-sample --help++    Usage: slynx sub-sample (-a|--alphabet NAME) [INPUT-FILE]+                            (-n|--number-of-sites INT)+                            (-m|--number-of-alignments INT) [-S|--seed [INT]]+      Create a given number of multi sequence alignments, each of which containing a+      given number of random sites drawn from the original multi sequence alignment.+    +    Available options:+      -a,--alphabet NAME       Specify alphabet type NAME+      INPUT-FILE               Read sequences from INPUT-FILE+      -n,--number-of-sites INT Number of sites randomly drawn with replacement+      -m,--number-of-alignments INT+                               Number of multi sequence alignments to be created+      -S,--seed [INT]          Seed for random number generator; list of 32 bit+                               integers with up to 256 elements (default: random)+      -h,--help                Show this help text+++## Translate++Translate sequences.++    slynx translate --help++    Translate from DNA to Protein or DNAX to ProteinX.+    +    Usage: slynx translate (-a|--alphabet NAME) [INPUT-FILE]+                           (-r|--reading-frame INT) (-u|--universal-code CODE)+    +    Available options:+      -a,--alphabet NAME       Specify alphabet type NAME+      INPUT-FILE               Read sequences from INPUT-FILE+      -r,--reading-frame INT   Reading frame [0|1|2].+      -u,--universal-code CODE universal code; one of: Standard,+                               VertebrateMitochondrial.+      -h,--help                Show this help text+++# TLynx++Handle phylogenetic trees in Newick format.++    tlynx --help++    ELynx Suite version 0.5.1. Developed by Dominik Schrempf. Compiled on September+    9, 2019, at 10:48 am, UTC.+    +    Usage: tlynx [-v|--verbosity VALUE] [-o|--output-file-basename NAME] COMMAND+      Compare, examine, and simulate phylogenetic trees.+    +    Available options:+      -h,--help                Show this help text+      -V,--version             Show version+      -v,--verbosity VALUE     Be verbose; one of: Quiet Warning Info+                               Debug (default: Info)+      -o,--output-file-basename NAME+                               Specify base name of output file+    +    Available commands:+      compare                  +      examine                  +      simulate                 Simulate reconstructed trees using the point process.+                               See Gernhard, T. (2008). The conditioned+                               reconstructed process. Journal of Theoretical+                               Biology, 253(4), 769–778.+                               http://doi.org/10.1016/j.jtbi.2008.04.005+    +    File formats:+      - Newick+    +    The ELynx Suite.+    A Haskell library and a tool set for computational biology. The goal of the+    ELynx Suite is reproducible research. Evolutionary sequences and phylogenetic+    trees can be read, viewed, modified and simulated. Exact specification of all+    options is necessary, and nothing is assumed about the data (e.g., the type of+    code). The command line with all arguments is consistently, and automatically+    logged. The work overhead in the beginning usually pays off in the end.+    slynx     Analyze, modify, and simulate evolutionary sequences.+    tlynx     Analyze, modify, and simulate phylogenetic trees.+++## Compare++Compute distances between phylogenetic trees.++    tlynx compare --help++    Compute distances between phylogenetic trees.+    +    Usage: tlynx compare (-d|--distance MEASURE) [-s|--summary-statistics]+                         [INPUT-FILES]+    +    Available options:+      -d,--distance MEASURE    Type of distance to calculate (available distance+                               measures are listed below)+      -s,--summary-statistics  Report summary statistics only+      INPUT-FILES              Read tree(s) from INPUT-FILES; if more files are+                               given, one tree is expected per file+      -h,--help                Show this help text+    +    Available distance measures:+      Symmetric distance: -d symmetric+      Incompatible split distance: -d incompatible-split[VAL]+        Collapse branches with support less than VAL before distance calculation;+        in this way, only well supported difference contribute to the distance measure.+++## Examine++Compute summary statistics of phylogenetic trees.++    tlynx examine --help++    Compute summary statistics of phylogenetic trees.+    +    Usage: tlynx examine [INPUT-FILE]+    +    Available options:+      INPUT-FILE               Read trees from INPUT-FILE+      -h,--help                Show this help text+++## Simulate++Simulate phylogenetic trees using birth and death processes.++    tlynx simulate --help++    Simulate phylogenetic trees using birth and death processes.+    +    Usage: tlynx simulate [-t|--nTrees INT] [-n|--nLeaves INT] [-H|--height DOUBLE]+                          [-M|--condition-on-mrca] [-l|--lambda DOUBLE]+                          [-m|--mu DOUBLE] [-r|--rho DOUBLE] [-u|--sub-sample]+                          [-s|--summary-statistics] [-S|--seed [INT]]+      Simulate reconstructed trees using the point process. See Gernhard, T. (2008).+      The conditioned reconstructed process. Journal of Theoretical Biology, 253(4),+      769–778. http://doi.org/10.1016/j.jtbi.2008.04.005+    +    Available options:+      -t,--nTrees INT          Number of trees (default: 10)+      -n,--nLeaves INT         Number of leaves per tree (default: 5)+      -H,--height DOUBLE       Fix tree height (no default)+      -M,--condition-on-mrca   Do not condition on height of origin but on height of+                               MRCA+      -l,--lambda DOUBLE       Birth rate lambda (default: 1.0)+      -m,--mu DOUBLE           Death rate mu (default: 0.9)+      -r,--rho DOUBLE          Sampling probability rho (default: 1.0)+      -u,--sub-sample          Perform sub-sampling; see below.+      -s,--summary-statistics  Only output number of children for each branch+      -S,--seed [INT]          Seed for random number generator; list of 32 bit+                               integers with up to 256 elements (default: random)+      -h,--help                Show this help text+    +    Height of Trees: if no tree height is given, the heights will be randomly drawn from the expected distribution given the number of leaves, the birth and the death rate.+    Summary statistics only: only print (NumberOfExtantChildren BranchLength) pairs for each branch of each tree. The trees are separated by a newline character.+    Sub-sampling: simulate one big tree with n'=round(n/rho), n'>=n, leaves, and randomly sample sub-trees with n leaves. Hence, with rho=1.0, the same tree is reported over and over again.+++# ELynx++Documentation of the library can be found on Hackage.+
+ elynx-tree.cabal view
@@ -0,0 +1,102 @@+cabal-version: 1.12+name: elynx-tree+version: 0.0.1+license: GPL-3+license-file: LICENSE+copyright: Dominik Schrempf (2019)+maintainer: dominik.schrempf@gmail.com+author: Dominik Schrempf+homepage: https://github.com/dschrempf/elynx#readme+bug-reports: https://github.com/dschrempf/elynx/issues+synopsis: Handle phylogenetic trees+description:+    Examine, compare, and simulate phylogenetic trees in a reproducible way. Please see the README on GitHub at <https://github.com/dschrempf/elynx>.+category: Bioinformatics+build-type: Simple+extra-source-files:+    README.md+    ChangeLog.md++source-repository head+    type: git+    location: https://github.com/dschrempf/elynx++library+    exposed-modules:+        ELynx.Data.Tree.Bipartition+        ELynx.Data.Tree.BranchSupportTree+        ELynx.Data.Tree.Distance+        ELynx.Data.Tree.EvoTree+        ELynx.Data.Tree.MeasurableTree+        ELynx.Data.Tree.NamedTree+        ELynx.Data.Tree.PhyloTree+        ELynx.Data.Tree.SumStat+        ELynx.Data.Tree.Tree+        ELynx.Distribution.BirthDeath+        ELynx.Distribution.BirthDeathCritical+        ELynx.Distribution.BirthDeathCriticalNoTime+        ELynx.Distribution.BirthDeathNearlyCritical+        ELynx.Distribution.CoalescentContinuous+        ELynx.Distribution.TimeOfOrigin+        ELynx.Distribution.TimeOfOriginNearCritical+        ELynx.Distribution.Types+        ELynx.Export.Tree.Newick+        ELynx.Import.Tree.Newick+        ELynx.Simulate.Coalescent+        ELynx.Simulate.PointProcess+    hs-source-dirs: src+    other-modules:+        Paths_elynx_tree+    default-language: Haskell2010+    ghc-options: -Wall+    build-depends:+        QuickCheck >=2.13.2 && <2.14,+        base >=4.12.0.0 && <4.13,+        bytestring >=0.10.8.2 && <0.11,+        containers >=0.6.0.1 && <0.7,+        elynx-tools >=0.0.1 && <0.1,+        lifted-async >=0.10.0.4 && <0.11,+        math-functions >=0.3.1.0 && <0.4,+        megaparsec >=7.0.5 && <7.1,+        mwc-random >=0.14.0.0 && <0.15,+        optparse-applicative >=0.14.3.0 && <0.15,+        parallel >=3.2.2.0 && <3.3,+        primitive >=0.6.4.0 && <0.7,+        quickcheck-instances >=0.3.22 && <0.4,+        statistics >=0.15.0.0 && <0.16,+        transformers >=0.5.6.2 && <0.6,+        vector >=0.12.0.3 && <0.13++test-suite tree-test+    type: exitcode-stdio-1.0+    main-is: Spec.hs+    hs-source-dirs: test+    other-modules:+        ELynx.Data.Tree.BipartitionSpec+        ELynx.Data.Tree.DistanceSpec+        ELynx.Data.Tree.TreeSpec+        ELynx.Export.Tree.NewickSpec+        ELynx.Import.Tree.NewickSpec+        Paths_elynx_tree+    default-language: Haskell2010+    ghc-options: -Wall -eventlog -threaded -rtsopts -with-rtsopts=-N+    build-depends:+        QuickCheck >=2.13.2 && <2.14,+        base >=4.12.0.0 && <4.13,+        bytestring >=0.10.8.2 && <0.11,+        containers >=0.6.0.1 && <0.7,+        elynx-tools >=0.0.1 && <0.1,+        elynx-tree -any,+        hspec >=2.7.1 && <2.8,+        hspec-megaparsec >=2.0.1 && <2.1,+        lifted-async >=0.10.0.4 && <0.11,+        math-functions >=0.3.1.0 && <0.4,+        megaparsec >=7.0.5 && <7.1,+        mwc-random >=0.14.0.0 && <0.15,+        optparse-applicative >=0.14.3.0 && <0.15,+        parallel >=3.2.2.0 && <3.3,+        primitive >=0.6.4.0 && <0.7,+        quickcheck-instances >=0.3.22 && <0.4,+        statistics >=0.15.0.0 && <0.16,+        transformers >=0.5.6.2 && <0.6,+        vector >=0.12.0.3 && <0.13
+ src/ELynx/Data/Tree/Bipartition.hs view
@@ -0,0 +1,231 @@+{- |+Module      :  ELynx.Data.Tree.Bipartition+Description :  Bipartitions on trees+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Fri Aug 30 15:28:17 2019.++'Bipartition's are weird in that+> Bipartition x y == Bipartition y x+is True.++Also,+> Bipartition x y > Bipartition y x+is False, even when @x > y@.++That's why we have to make sure that for+> Bipartition x y+we always have @x >= y@.++-}++module ELynx.Data.Tree.Bipartition+  ( -- * The 'Bipartition' data type.+    Bipartition ()+  , bp+  , bpmap+    -- * Working with 'Bipartition's.+  , bipartitions+  , bipartitionToBranch+  , bipartitionsCombined+  ) where++-- import           Data.List+import qualified Data.Map             as M+import           Data.Maybe+import qualified Data.Set             as S+import           Data.Tree++import           ELynx.Data.Tree.Tree++-- | Bipartitions with 'S.Set's, since order of elements within the leaf sets+-- is not important. Also the order of the two leaf sets of the bipartition is+-- not important (see 'Eq' instance definition).+newtype Bipartition a = Bipartition (S.Set a, S.Set a)+  deriving (Show, Read)++-- instance Show a => Show (Bipartition a) where+--   show (Bipartition (x, y)) = "(" ++ showSet x ++ "|" ++ showSet y ++  ")"+--     where showSet s = intercalate "," $ map show $ S.toList s++-- | Create a bipartition from two 'S.Set's.+bp :: Ord a => S.Set a -> S.Set a -> Bipartition a+bp x y = if x >= y+         then Bipartition (x, y)+         else Bipartition (y, x)++-- | Create a bipartition from two 'S.Set's.+bpWith :: (Ord a, Ord b) => (a -> b) -> S.Set a -> S.Set a -> Bipartition b+bpWith f x y = bpmap f $ bp x y++instance (Eq a) => Eq (Bipartition a) where+  Bipartition x == Bipartition y = x == y++instance (Ord a) => Ord (Bipartition a) where+  Bipartition x `compare` Bipartition y = x `compare` y++-- | Map a function over all elements in the 'Bipartition's.+bpmap :: (Ord a, Ord b) => (a -> b) -> Bipartition a -> Bipartition b+bpmap f (Bipartition (x, y)) = bp (S.map f x) (S.map f y)++-- | Each node of a tree is root of a subtree. Get the leaves of the subtree of+-- each node.+leavesTree :: (Ord a) => Tree a -> Tree (S.Set a)+leavesTree (Node l []) = Node (S.singleton l) []+leavesTree (Node _ xs) = Node (S.unions $ map rootLabel xs') xs'+  where xs' = map leavesTree xs++-- | Loop through each tree in a forest to report the complementary leaf sets.+subForestGetLeafSets :: (Ord a)+                     => S.Set a          -- ^ Complementary leaf set at the stem+                     -> Tree (S.Set a)   -- ^ Tree with leaf set nodes+                     -> [S.Set a]+subForestGetLeafSets lvsS t = lvsOthers+  where+    xs               = subForest t+    nChildren        = length xs+    lvsChildren      = map rootLabel xs+    lvsOtherChildren = [ S.unions $ lvsS+                         : take i lvsChildren ++ drop (i+1) lvsChildren+                       | i <- [0 .. (nChildren - 1)] ]+    lvsOthers        = map (S.union lvsS) lvsOtherChildren+++-- | Get all bipartitions.+bipartitions :: Ord a => Tree a -> S.Set (Bipartition a)+bipartitions t = if S.size (S.fromList lvs) == length lvs+                 then bipartitionsUnsafe t+                 else error "bipartitions: The tree contains duplicate leaves."+  where lvs = leaves t++-- | See 'bipartitions', but do not check if leaves are unique.+bipartitionsUnsafe :: Ord a => Tree a -> S.Set (Bipartition a)+bipartitionsUnsafe (Node _ [] ) = S.empty+-- If the root stem is split by degree two nodes, just go on since the root stem+-- does not induce any bipartitions.+bipartitionsUnsafe (Node _ [x]) = bipartitionsUnsafe x+-- We have rose trees, so we need to through the list of children and combine+-- each of them with the rest.+bipartitionsUnsafe t =+  S.unions [ bipartitions' lvs x+           | (lvs, x) <- zip lvsOthers (subForest lvsTree) ]+  where+    lvsTree = leavesTree t+    lvsOthers = subForestGetLeafSets S.empty lvsTree++bipartitions' :: Ord a => S.Set a -> Tree (S.Set a) -> S.Set (Bipartition a)+bipartitions' lvsStem t@(Node lvs xs)+  | S.null lvsStem = error "bipartitions': no complementing leaf set."+  -- Leaf; return a singleton map; bipartition with the leaf and the rest of the tree.+  | null xs        = S.singleton $ bp lvsStem lvs+  -- For degree two nodes, pass the creation of the set on.+  | length xs == 1 = bipartitions' lvsStem (head xs)+  -- We have rose trees, so we need to through the list of children and combine+  -- each of them with the rest. Also, we use up the possible branch information+  -- 'br' and start afresh with 'mempty'.+  | otherwise      = S.unions $ S.singleton (bp lvsStem lvs) : zipWith bipartitions' lvsOthers xs+  where+    lvsOthers = subForestGetLeafSets lvsStem t++-- | Each branch on a 'Tree' defines a unique 'Bipartition' of leaves. Convert a+-- tree into a 'M.Map' from each 'Bipartition' to the branch inducing the+-- respective 'Bipartition'. The information about the branch is extracted from+-- the nodes with a given function. If the tree has degree two nodes, the branch+-- values are combined; a unity element is required, and so we need the 'Monoid'+-- type class constraint. Checks if leaves are unique.+bipartitionToBranch :: (Ord a, Ord b, Monoid c)+                    => (a -> b)      -- ^ Value to compare on+                    -> (a -> c)      -- ^ Convert node to branch length+                    -> Tree a        -- ^ Tree to dissect+                    -> M.Map (Bipartition b) c+bipartitionToBranch f g t = if S.size (S.fromList lvs) == length lvs+                 then bipartitionToBranchUnsafe f g t+                 else error "bipartitionToBranch: The tree contains duplicate leaves."+  where lvs = leaves t++-- | See 'bipartitionToBranch', but does not check if leaves are unique.+bipartitionToBranchUnsafe :: (Ord a, Ord b, Monoid c)+                    => (a -> b)      -- ^ Value to compare on+                    -> (a -> c)      -- ^ Convert node to branch length+                    -> Tree a        -- ^ Tree to dissect+                    -> M.Map (Bipartition b) c+bipartitionToBranchUnsafe _ _ (Node _ [] ) = M.empty+-- If the root stem is split by degree two nodes, just go on and ignore the+-- branch information, because the stem does not induce any bipartition+-- anyways..+bipartitionToBranchUnsafe f g (Node _ [x]) = bipartitionToBranchUnsafe f g x+-- We have rose trees, so we need to through the list of children and combine+-- each of them with the rest.+bipartitionToBranchUnsafe f g t =+  M.unionsWith (<>) [ bipartitionToBranch' lvs mempty f g x+                    | (lvs, x) <- zip lvsOthers (subForest nodeAndLeavesTrees) ]+  where+    lvsTree            = leavesTree t+    nodeAndLeavesTrees = fromJust $ merge t lvsTree+    lvsOthers          = subForestGetLeafSets S.empty lvsTree++-- We need information about the nodes, and also about the leaves of the induced+-- sub trees. Hence, we need a somewhat complicated node type @(a, S.Set a)@.+bipartitionToBranch' :: (Ord a, Ord b, Monoid c)+                     => S.Set a           -- ^ Complementary set of leaves+                                          -- towards the stem+                     -> c                 -- ^ Maybe we have to pass along some+                                          -- information from above (degree two+                                          -- nodes)+                     -> (a -> b)          -- ^ Extract value to compare on+                     -> (a -> c)          -- ^ Extract information about branch+                                          -- from node+                     -> Tree (a, S.Set a) -- ^ Tree containing nodes and sub+                                          -- tree leaf sets+                     -> M.Map (Bipartition b) c+bipartitionToBranch' lvsStem br f g t@(Node l xs )+  | S.null lvsStem  = error "bipartitionToBranch': no complementing leaf set."+  -- Leaf; return a singleton map; bipartition with the leaf and the rest of the tree.+  | null xs         = M.singleton (bpWith f lvsStem lvsThisNode) (br <> g label)+  -- Pass the creation of the map entry on, but extend the branch.+  | length xs == 1  = bipartitionToBranch' lvsStem (br <> g label) f g (head xs)+  -- We have rose trees, so we need to through the list of children and combine+  -- each of them with the rest. Also, we use up the possible branch information+  -- 'br' and start afresh with 'mempty'.+  | otherwise       = M.insert (bpWith f lvsStem lvsThisNode) (br <> g label)+                      $ M.unions [ bipartitionToBranch' lvs mempty f g x+                                 | (lvs, x) <- zip lvsOthers xs ]+  where+    label       = fst l+    lvsThisNode = snd l+    lvsOthers   = subForestGetLeafSets lvsStem $ fmap snd t++-- | Get all bipartitions, but combine leaves from multifurcations. This is+-- useful to find incompatible splits. See+-- 'ELynx.Data.Tree.Distance.incompatibleSplitsDistance'. Assume that a root+-- node with three children is actually not a multifurcation (because then we+-- would have no induced bypartitions), but rather corresponds to an unrooted+-- tree.+bipartitionsCombined :: (Ord a, Show a) => Tree a -> S.Set (Bipartition a)+bipartitionsCombined t@(Node _ xs)+  | null xs        = S.empty+  | length xs == 1 = bipartitionsCombined (head xs)+  -- One big multifurcation does not induce any bipartitions.+  | length xs >  3 = S.empty+  | otherwise      = res+  where+    res = S.unions [ bipartitionsCombined' lvs x+                   | (lvs, x) <- zip lvsOthers (subForest lvsTree) ]+    lvsTree = leavesTree t+    lvsOthers = subForestGetLeafSets S.empty lvsTree++bipartitionsCombined' :: Ord a => S.Set a -> Tree (S.Set a) -> S.Set (Bipartition a)+bipartitionsCombined' lvsStem t@(Node lvs xs)+  | S.null lvsStem = error "bipartitionsCombined': no complementing leaf set."+  | null xs        = S.singleton $ bp lvsStem lvs+  | length xs == 1 = bipartitionsCombined' lvsStem (head xs)+  | length xs == 2 = S.unions $+                     S.singleton (bp lvsStem lvs) : zipWith bipartitionsCombined' lvsOthers xs+  | otherwise      = S.singleton $ bp lvsStem lvs+  where+    lvsOthers = subForestGetLeafSets lvsStem t
+ src/ELynx/Data/Tree/BranchSupportTree.hs view
@@ -0,0 +1,64 @@+{- |+Module      :  ELynx.Data.Tree.BranchSupportTree+Description :  Node label with branch support+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jun 13 14:06:45 2019.++-}++module ELynx.Data.Tree.BranchSupportTree+  ( BranchSupport+  , BranchSupportLabel (..)+  , normalize+  , collapse+  ) where++import           Data.List+import           Data.Maybe+import           Data.Tree++-- XXX : This is probably the preferred way.+-- data BranchSupport =+--   BSNothing+--   | BSInt Int+--   | BSDouble Double+--   deriving (Num)++-- | At the moment, just use 'Double'. It would be preferable to use a wrapper+-- data type that can handle 'Int' or 'Double'.+type BranchSupport = Maybe Double++-- | A label that supports branch support values.+class BranchSupportLabel a where+  -- | For now, branch support is a Double, but one could also think about+  -- bootstrap values, which are integers.+  getBranchSupport :: a -> BranchSupport+  setBranchSupport :: BranchSupport -> a -> a++apply :: BranchSupportLabel a => (Double -> Double) -> a -> a+apply f l = setBranchSupport (f <$> s) l+  where s = getBranchSupport l++-- | Normalize branch support values. The maximum branch support value will be+-- set to 1.0.+normalize :: BranchSupportLabel a => Tree a -> Tree a+normalize t = if isNothing m then t else fmap (apply (/ fromJust m)) t+  where m = maximum $ fmap getBranchSupport t++accept :: Double -> Maybe Double -> Bool+accept _       Nothing = True+accept thresh (Just s) = s > thresh++-- | Collapse branches with support lower than given value. Note, branch length+-- is ignored at the moment.+collapse :: BranchSupportLabel a => Double -> Tree a -> Tree a+collapse _      n@(Node _ []) = n+collapse thresh   (Node l xs) = Node l $ map (collapse thresh) (highS ++ lowSubForest)+  where (highS, lowS) = partition (accept thresh . getBranchSupport . rootLabel) xs+        lowSubForest = concatMap subForest lowS
+ src/ELynx/Data/Tree/Distance.hs view
@@ -0,0 +1,124 @@+{- |+Module      :  ELynx.Data.Tree.Distance+Description :  Compute distances between trees+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jun 13 17:15:54 2019.++Various distance functions for phylogenetic trees (and binary trees in general).+All trees are assumed to be UNROOTED.++-}++module ELynx.Data.Tree.Distance+  ( symmetricDistance+  , symmetricDistanceWith+  , incompatibleSplitsDistance+  , incompatibleSplitsDistanceWith+  , computePairwiseDistances+  , computeAdjacentDistances+  , branchScoreDistance+  , branchScoreDistanceWith+  ) where++import           Data.List+import qualified Data.Map                       as M+import           Data.Monoid+import qualified Data.Set                       as S+import           Data.Tree++import           ELynx.Data.Tree.Bipartition+import           ELynx.Data.Tree.MeasurableTree+import           ELynx.Data.Tree.NamedTree++-- -- Difference between two 'Set's, see 'Set.difference'. Do not compare elements+-- -- directly but apply a function beforehand.+-- differenceWith :: (Ord a, Ord b) => (a -> b) -> Set.Set a -> Set.Set a -> Set.Set a+-- differenceWith f xs ys = Set.filter (\e -> f e `Set.notMember` ys') xs+--   where ys' = Set.map f ys++-- -- Symmetric difference between two 'Set's. Do not compare elements directly but+-- -- apply a function beforehand.+-- symmetricDifferenceWith :: (Ord a, Ord b) => (a -> b) -> Set.Set a -> Set.Set a -> Set.Set a+-- symmetricDifferenceWith f xs ys = xsNotInYs `Set.union` ysNotInXs+--   where+--     xsNotInYs = differenceWith f xs ys+--     ysNotInXs = differenceWith f ys xs++-- Symmetric difference between two 'Set's.+symmetricDifferenceS :: Ord a => S.Set a -> S.Set a -> S.Set a+symmetricDifferenceS xs ys = S.difference xs ys `S.union` S.difference ys xs++-- -- Symmetric difference between two 'Map's.+-- symmetricDifferenceM :: Ord k => M.Map k a -> M.Map k a -> M.Map k a+-- symmetricDifferenceM x y = M.difference x y `M.union` M.difference y x++-- | Symmetric (Robinson-Foulds) distance between two trees. Before comparing+-- the leaf labels, apply a given function. This is useful, for example, to+-- compare the labels of 'Named' trees on their names only. The tree is assumed+-- to be UNROOTED!+--+-- XXX: Comparing a list of trees with this function recomputes bipartitions.+symmetricDistanceWith :: (Ord b) => (a -> b) -> Tree a -> Tree a -> Int+symmetricDistanceWith f t1 t2 = length $ symmetricDifferenceS (bs t1) (bs t2)+  where bs t = bipartitions $ fmap f t++-- | See 'symmetricDistanceWith', but with 'id' for comparisons.+symmetricDistance :: Ord a => Tree a -> Tree a -> Int+symmetricDistance = symmetricDistanceWith id++-- | Number of incompatible splits. Similar to 'symmetricDistanceWith' but+-- merges multifurcations.+--+-- XXX: Comparing a list of trees with this function recomputes bipartitions.+incompatibleSplitsDistanceWith :: (Ord b, Show b) => (a -> b) -> Tree a -> Tree a -> Int+incompatibleSplitsDistanceWith f t1 t2 = length $ symmetricDifferenceS (ms t1) (ms t2)+  where ms t = bipartitionsCombined $ fmap f t++-- | See 'incompatibleSplitsDistanceWith', use 'id' for comparisons.+incompatibleSplitsDistance :: (Ord a, Show a) => Tree a -> Tree a -> Int+incompatibleSplitsDistance = incompatibleSplitsDistanceWith id++-- | Compute branch score distance between two trees. Before comparing the leaf+-- labels, apply a function. This is useful, for example, to compare the labels+-- of 'Named' trees on their names only. The branch information which is+-- compared to compute the distance is extracted from the nodes with a given+-- function. Assumes that the trees are UNROOTED.+--+-- XXX: Comparing a list of trees with this function recomputes bipartitions.+branchScoreDistanceWith :: (Ord a, Ord b, Floating c)+                        => (a -> b) -- ^ Label to compare on+                        -> (a -> c) -- ^ Branch information (e.g., length)+                                    -- associated with a node+                        -> Tree a -> Tree a -> c+branchScoreDistanceWith f g t1 t2 = sqrt dsSquared+  where bs        = bipartitionToBranch f (Sum . g)+        dBs       = M.map getSum $ M.unionWith (-) (bs t1) (bs t2)+        dsSquared = foldl' (\acc e -> acc + e*e) 0 dBs++-- | See 'branchScoreDistanceWith', use 'id' for comparisons.+branchScoreDistance :: (Ord a, Measurable a, Named a) => Tree a -> Tree a -> Double+branchScoreDistance = branchScoreDistanceWith getName getLen++-- | Compute pairwise distances of a list of input trees. Use given distance+-- measure. Returns a triple, the first two elements are the indices of the+-- compared trees, the third is the distance.+computePairwiseDistances :: (a -> a -> b)   -- ^ Distance function+                         -> [a]             -- ^ Input trees+                         -> [(Int, Int, b)] -- ^ (index i, index j, distance i j)+computePairwiseDistances dist trs = [ (i, j, dist x y)+                                    | (i:is, x:xs) <- zip (tails [0..]) (tails trs)+                                    , (j, y) <- zip is xs ]++-- | Compute distances between adjacent pairs of a list of input trees. Use+-- given distance measure.+computeAdjacentDistances :: (Tree a -> Tree a -> b) -- ^ Distance function+                         -> [Tree a]                -- ^ Input trees+                         -> [b]+computeAdjacentDistances dist trs = [ dist x y | (x, y) <- zip trs (tail trs) ]+
+ src/ELynx/Data/Tree/EvoTree.hs view
@@ -0,0 +1,43 @@+{- |+Module      :  ELynx.Data.Tree.EvoTree+Description :  Evolutionary nodes+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jan 17 14:19:26 2019.++XXX: This module is not used.++-}++module ELynx.Data.Tree.EvoTree+  ( EvoLabel (..)+  ) where++-- | An evolutionary label has some information about where the corresponding+-- node is on the tree, and if the node is 'extant', 'extinct', 'internal', or+-- 'external'. The latter two could also be determined from the tree. This could+-- be species, genes or individuals; probably more.+class EvoLabel n where+  extant          :: n -> Bool+  extinct         :: n -> Bool++  internal        :: n -> Bool+  internal n = not $ extant n || extinct n+  external        :: n -> Bool+  external   = not . internal++-- -- | Glue branches together, so that one new tree emerges. It's root node is+-- -- new, the sub-forest has to be given (a list of trees).+-- glue :: (NodeType c)+--      => PhyloLabel a b c       -- ^ New root node.+--      -> [PhyloTree a b c]      -- ^ Sub-forest.+--      -> PhyloTree a b c+-- glue s@(PhyloLabel _ _ n) ts+--   | extant n  = error "Root node cannot be of type 'Exant'."+--   | extinct n = error "Root node cannot be of type 'Extinct'."+--   | otherwise = Node s ts
+ src/ELynx/Data/Tree/MeasurableTree.hs view
@@ -0,0 +1,98 @@+{- |+Module      :  ELynx.Data.Tree.MeasurableTree+Description :  Functions on trees with branch lengths+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jan 17 14:16:34 2019.++-}+++module ELynx.Data.Tree.MeasurableTree+  ( Measurable (..)+  , distancesRootLeaves+  , averageDistanceRootLeaves+  , height+  , lengthenRoot+  , shortenRoot+  , summarize+  , totalBranchLength+  , normalize+  , prune+  ) where++import qualified Data.ByteString.Lazy.Char8 as L+import           Data.Foldable+import           Data.Tree++import           ELynx.Data.Tree.Tree++-- | A 'Node' label with measurable and modifiable branch length to the parent.+class Measurable a where+  -- | Length of attached branch.+  getLen :: a -> Double+  -- | Set attached branch length.+  setLen :: Double -> a -> a++  -- | Elongate branch length.+  lengthen :: Double -> a -> a+  lengthen dl l = setLen (dl + getLen l) l++  -- | Shorten branch length.+  shorten :: Double -> a -> a+  shorten dl = lengthen (-dl)++-- | Distances from the root of a tree to its leaves.+distancesRootLeaves :: (Measurable a) => Tree a -> [Double]+distancesRootLeaves (Node l []) = [getLen l]+distancesRootLeaves (Node l f ) = concatMap (map (+ getLen l) . distancesRootLeaves) f++-- | Average distance from the root of a tree to its leaves.+averageDistanceRootLeaves :: (Measurable a) => Tree a -> Double+averageDistanceRootLeaves tr = sum ds / fromIntegral n+  where ds = distancesRootLeaves tr+        n  = length ds++-- | Height of a tree. Returns 0 if the tree is empty.+height :: (Measurable a) => Tree a -> Double+height = maximum . distancesRootLeaves++-- | Lengthen the distance between root and origin.+lengthenRoot :: (Measurable a) => Double -> Tree a -> Tree a+lengthenRoot dl (Node lbl chs) = Node (lengthen dl lbl) chs++-- | Lengthen the distance between root and origin.+shortenRoot :: (Measurable a) => Double -> Tree a -> Tree a+shortenRoot dl = lengthenRoot (-dl)++-- | Summarize a tree with measureable branch lengths.+summarize :: (Measurable a) => Tree a -> L.ByteString+summarize t = L.unlines $ map L.pack+  [ "Leaves: " ++ show n ++ "."+  , "Height: " ++ show h ++ "."+  , "Average distance root to leaves: " ++ show h' ++ "."+  , "Total branch length: " ++ show b ++ "." ]+  where n = length . leaves $ t+        h = height t+        b = totalBranchLength t+        h' = sum (distancesRootLeaves t) / fromIntegral n++-- | Total branch length of a tree.+totalBranchLength :: (Measurable a) => Tree a -> Double+totalBranchLength = foldl' (\acc n -> acc + getLen n) 0++-- | Normalize tree so that sum of branch lengths is 1.0.+normalize :: (Measurable a) => Tree a -> Tree a+normalize t = fmap (\n -> setLen (getLen n / s) n) t+  where s = totalBranchLength t++-- | Prune degree 2 nodes. Add branch lengths but forget pruned node label. See+-- 'pruneWith'.+prune :: (Measurable a) => Tree a -> Tree a+prune = pruneWith f+  where f da pa = lengthen (getLen pa) da
+ src/ELynx/Data/Tree/NamedTree.hs view
@@ -0,0 +1,23 @@+{- |+Module      :  ELynx.Data.Tree.NamedTree+Description :  Trees with named nodes+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jan 24 20:09:20 2019.++-}++module ELynx.Data.Tree.NamedTree+  ( Named (..)+  ) where++import qualified Data.ByteString.Lazy.Char8 as L++-- | Data types with names.+class Named a where+  getName :: a -> L.ByteString
+ src/ELynx/Data/Tree/PhyloTree.hs view
@@ -0,0 +1,89 @@+{-# LANGUAGE FlexibleInstances #-}++{- |+Module      :  ELynx.Data.Tree.PhyloTree+Description :  Phylogenetic trees+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jan 17 16:08:54 2019.++Phylogenetic nodes have a branch length and a label.++The easiest label type is 'Int': 'PhyloIntLabel'.++Also, the 'L.ByteString' label is needed often: 'PhyloByteStringLabel'.++XXX: This is all too complicated. Maybe I should just define a standard tree object like+> data PhyloTree a = Tree (PhyloLabel a)+and that's it. Forget about type classes like Measurable, Named and so on.++-}+++module ELynx.Data.Tree.PhyloTree+  ( PhyloLabel (..)+  , PhyloIntLabel+  , PhyloByteStringLabel+  , removeBrLen+  ) where++import qualified Data.ByteString.Lazy.Builder      as L+import qualified Data.ByteString.Lazy.Char8        as L+import           Data.Function+import           Data.Tree+import           Test.QuickCheck++import           ELynx.Data.Tree.BranchSupportTree+import           ELynx.Data.Tree.MeasurableTree+import           ELynx.Data.Tree.NamedTree++-- | A primitive label type for phylogenetic trees with a name, possibly a+-- branch support value, and a 'Double' branch length.+data PhyloLabel a = PhyloLabel { pLabel :: a+                               , pBrSup :: Maybe Double+                               , pBrLen :: Double }+                 deriving (Read, Show, Eq)++instance Ord a => Ord (PhyloLabel a) where+  compare = compare `on` pLabel++instance Measurable (PhyloLabel a) where+  getLen = pBrLen+  setLen l (PhyloLabel lbl s _)+    | l >= 0 = PhyloLabel lbl s l+    | otherwise = error "Branch lengths cannot be negative."++instance BranchSupportLabel (PhyloLabel a) where+  getBranchSupport = pBrSup+  setBranchSupport Nothing  l = l {pBrSup = Nothing}+  setBranchSupport (Just s) l+    | s > 0 = l {pBrSup = Just s}+    | otherwise = error "Branch support cannot be negative."++instance Arbitrary a => Arbitrary (PhyloLabel a) where+  arbitrary = PhyloLabel+    <$> arbitrary+    <*> (Just <$> choose (0, 100))+    <*> choose (0, 10)++-- | Tree node with 'Int' label.+type PhyloIntLabel = PhyloLabel Int++instance Named PhyloIntLabel where+  getName = L.toLazyByteString . L.intDec . pLabel++-- | Tree node with 'L.ByteString' label. Important for parsing+-- 'ELynx.Import.Tree.Newick' files.+type PhyloByteStringLabel = PhyloLabel L.ByteString++instance Named PhyloByteStringLabel where+  getName = pLabel++-- | Remove branch lengths from tree.+removeBrLen :: Tree (PhyloLabel a) -> Tree a+removeBrLen = fmap pLabel
+ src/ELynx/Data/Tree/SumStat.hs view
@@ -0,0 +1,57 @@+{- |+Module      :  ELynx.Data.Tree.SumStat+Description :  Summary statistics for phylogenetic trees+Copyright   :  (c) Dominik Schrempf 2018+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu May 17 14:05:45 2018.++-}++module ELynx.Data.Tree.SumStat+  ( BrLnNChildren+  , NChildSumStat+  , toNChildSumStat+  , formatNChildSumStat+  ) where++import qualified Data.ByteString.Builder        as L+import qualified Data.ByteString.Lazy.Char8     as L+import           Data.Monoid                    ((<>))+import           Data.Tree+import           ELynx.Data.Tree.MeasurableTree++-- This may be too specific, but I only change it if necessary. E.g., use types+-- a (for node labels) and b (for branch lengths).++-- | Pair of branch length with number of extant children.+type BrLnNChildren = (Double, Int)++-- | Possible summary statistic of phylogenetic trees. A list of tuples+-- (BranchLength, NumberOfExtantChildrenBelowThisBranch).+type NChildSumStat = [BrLnNChildren]++-- | Format the summary statistics in the following form:+-- @+--    nLeaves1 branchLength1+--    nLeaves2 branchLength2+--    ....+formatNChildSumStat :: NChildSumStat -> L.ByteString+formatNChildSumStat s = L.toLazyByteString . mconcat $ map formatNChildSumStatLine s++formatNChildSumStatLine :: BrLnNChildren -> L.Builder+formatNChildSumStatLine (l, n) = L.intDec n+                                 <> L.char8 ' '+                                 <> L.doubleDec l+                                 <> L.char8 '\n'++-- | Compute NChilSumStat for a phylogenetic tree.+toNChildSumStat :: Measurable a => Tree a -> NChildSumStat+toNChildSumStat (Node lbl []) = [(getLen lbl, 1)]+toNChildSumStat (Node lbl ts) = (getLen lbl, sumCh) : concat nChSS+  where nChSS = map toNChildSumStat ts+        sumCh = sum $ map (snd . head) nChSS
+ src/ELynx/Data/Tree/Tree.hs view
@@ -0,0 +1,143 @@+{- |+Module      :  ELynx.Data.Tree.Tree+Description :  Functions related to phylogenetic trees+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jan 17 09:57:29 2019.++Comment about nomenclature:++- In "Data.Tree", a 'Tree' is defined as++@+data Tree a = Node {+        rootLabel :: a,         -- ^ label value+        subForest :: Forest a   -- ^ zero or more child trees+    }+@++This means, that the word 'Node' is reserved for the constructor of a tree, and+that a 'Node' has a label and a children. The terms 'Node' and /label/ are not+to be confused.++- Branches have /lengths/. For example, a branch length can be a distances or a+  time.++NOTE: Trees in this library are all rooted. Unrooted trees can be treated with a+rooted data structure equally well. However, in these cases, some functions have+no meaning. For example, functions measuring the distance from the root to the+leaves (the height of a rooted tree).++NOTE: Try fgl or alga. Use functional graph library for unrooted trees see also+the book /Haskell high performance programming from Thomasson/, p. 344.++-}+++module ELynx.Data.Tree.Tree+  ( singleton+  , degree+  , leaves+  , subTree+  , subSample+  , nSubSamples+  , pruneWith+  , merge+  , tZipWith+  ) where++import           Control.Monad+import           Control.Monad.Primitive+import           Data.Maybe+import qualified Data.Sequence           as Seq+import qualified Data.Set                as Set+import           Data.Traversable+import           Data.Tree+import           System.Random.MWC++import           ELynx.Tools.Random++-- | The simplest tree. Usually an extant leaf.+singleton :: a -> Tree a+singleton l = Node l []++-- | The degree of the root node of a tree.+degree :: Tree a -> Int+degree = (+ 1) . length . subForest++-- | Get leaves of tree.+leaves :: Tree a -> [a]+leaves (Node l []) = [l]+leaves (Node _ f)  = concatMap leaves f++-- -- | Check if ancestor and daughters of first tree are a subset of the ancestor+-- -- and daughters of the second tree. Useful to test if, e.g., speciations agree.+-- rootNodesAgreeWith :: (Ord c) => (a -> c) -> Tree a -> (b -> c) -> Tree b -> Bool+-- rootNodesAgreeWith f s g t =+--   f (rootLabel s) == g (rootLabel t) &&+--   S.fromList sDs `S.isSubsetOf` S.fromList tDs+--   where sDs = map (f . rootLabel) (subForest s)+--         tDs = map (g . rootLabel) (subForest t)++-- | Get subtree of 'Tree' with nodes satisfying predicate. Return 'Nothing', if+-- no leaf satisfies predicate. At the moment: recursively, for each child, take+-- the child if any leaf in the child satisfies the predicate.+subTree :: (a -> Bool) -> Tree a -> Maybe (Tree a)+subTree p leaf@(Node lbl [])+  | p lbl     = Just leaf+  | otherwise = Nothing+subTree p (Node lbl chs) = if null subTrees+                           then Nothing+                           else Just $ Node lbl subTrees+  where subTrees = mapMaybe (subTree p) chs++-- XXX: If module gets too big, move the sampling functions into their own+-- module.+-- | Extract a random sub tree with N leaves of a tree with M leaves, where M>N+-- (otherwise error). The complete list of leaves (names are assumed to be+-- unique) has to be provided as a 'Seq.Seq', and a 'Seq.Set', so that we have+-- fast sub-sampling as well as lookup and don't have to recompute them when+-- many sub-samples are requested.+subSample :: (PrimMonad m, Ord a)+  => Seq.Seq a -> Int -> Tree a -> Gen (PrimState m) -> m (Maybe (Tree a))+subSample lvs n tree g+  | Seq.length lvs < n = error "Given list of leaves is shorter than requested number of leaves."+  | otherwise = do+      sampledLs <- sample lvs n g+      let ls = Set.fromList sampledLs+      return $ subTree (`Set.member` ls) tree++-- | See 'subSample', but n times.+nSubSamples :: (PrimMonad m, Ord a)+            => Int -> Seq.Seq a -> Int -> Tree a -> Gen (PrimState m) -> m [Maybe (Tree a)]+nSubSamples nS lvs nL tree g = replicateM nS $ subSample lvs nL tree g++-- | Prune degree 2 inner nodes. The information stored in a pruned node can be+-- used to change the daughter node. To discard this information, use,+-- @pruneWith const tree@, otherwise @pruneWith (\daughter parent -> combined)+-- tree@.+pruneWith :: (a -> a -> a) -> Tree a -> Tree a+pruneWith _  n@(Node _ [])       = n+pruneWith f    (Node paLbl [ch]) = let lbl = f (rootLabel ch) paLbl+                                   in pruneWith f $ Node lbl (subForest ch)+pruneWith f    (Node paLbl chs)  = Node paLbl (map (pruneWith f) chs)++-- | Merge two trees with the same topology. Returns 'Nothing' if the topologies are different.+merge :: Tree a -> Tree b -> Maybe (Tree (a, b))+merge (Node l xs) (Node r ys) =+  if length xs == length ys+  -- I am proud of that :)).+  then zipWithM merge xs ys >>= Just . Node (l, r)+  else Nothing++-- | Apply a function with different effect on each node to a 'Traversable'.+-- Based on https://stackoverflow.com/a/41523456.+tZipWith :: Traversable t => (a -> b -> c) -> [a] -> t b -> Maybe (t c)+tZipWith f xs = sequenceA . snd . mapAccumL pair xs+    where pair [] _     = ([], Nothing)+          pair (y:ys) z = (ys, Just (f y z))
+ src/ELynx/Distribution/BirthDeath.hs view
@@ -0,0 +1,84 @@+{-# LANGUAGE DeriveDataTypeable #-}+{-# LANGUAGE DeriveGeneric      #-}++{- |+   Module      :  ELynx.Distribution.BirthDeath+   Description :  Birth and death distribution+   Copyright   :  (c) Dominik Schrempf 2018+   License     :  GPL-3++   Maintainer  :  dominik.schrempf@gmail.com+   Stability   :  unstable+   Portability :  portable++Creation date: Tue Feb 13 13:16:18 2018.++See Gernhard, T. (2008). The conditioned reconstructed process. Journal of+Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.++Distribution of the values of the point process such that it corresponds to+reconstructed trees under the birth and death process.++-}++module ELynx.Distribution.BirthDeath+  ( BirthDeathDistribution(..)+  , cumulative+  , density+  , quantile+  ) where++import           Data.Data                (Data, Typeable)+import           GHC.Generics             (Generic)+import qualified Statistics.Distribution  as D++import           ELynx.Distribution.Types++-- | Distribution of the values of the point process such that it corresponds to+-- a reconstructed tree of the birth and death process.+data BirthDeathDistribution = BDD+  { bddTOr :: Time         -- ^ Time to origin of the tree.+  , bddLa  :: Rate         -- ^ Birth rate.+  , bddMu  :: Rate         -- ^ Death rate.+  } deriving (Eq, Typeable, Data, Generic)++instance D.Distribution BirthDeathDistribution where+    cumulative = cumulative++-- | Cumulative distribution function Eq. (3).+cumulative :: BirthDeathDistribution -> Time -> Double+cumulative (BDD t l m) x+  | x <= 0    = 0+  | x >  t    = 1+  | otherwise = t1 * t2+  where d  = l - m+        t1 = (1.0 - exp (-d*x)) / (l - m*exp(-d*x))+        t2 = (l - m*exp(-d*t)) / (1.0 - exp(-d*t))++instance D.ContDistr BirthDeathDistribution where+  density  = density+  quantile = quantile++-- | Density function Eq. (2).+density :: BirthDeathDistribution -> Time -> Double+density (BDD t l m) x+  | x < 0     = 0+  | x > t     = 0+  | otherwise = d**2 * t1 * t2+  where d  = l - m+        t1 = exp (-d*x) / ((l - m*exp(-d*x))**2)+        t2 = (l - m*exp(-d*t)) / (1.0 - exp(-d*t))++-- | Inverted cumulative probability distribution 'cumulative'. See also+-- 'D.ContDistr'.+quantile :: BirthDeathDistribution -> Double -> Time+quantile (BDD t l m) p+  | p >= 0 && p <= 1 = res+  | otherwise        =+    error $ "PointProcess.quantile: p must be in [0,1] range. Got: " ++ show p ++ "."+ where d   = l - m+       t2  = (l - m*exp(-d*t)) / (1.0 - exp(-d*t))+       res = (-1.0/d) * log ((1.0 - p*l/t2)/(1.0 - p*m/t2))++instance D.ContGen BirthDeathDistribution where+  genContVar = D.genContinuous
+ src/ELynx/Distribution/BirthDeathCritical.hs view
@@ -0,0 +1,76 @@+{-# LANGUAGE DeriveDataTypeable #-}+{-# LANGUAGE DeriveGeneric      #-}++{- |+   Module      :  ELynx.Distribution.BirthDeathCritical+   Description :  Birth and death distribution+   Copyright   :  (c) Dominik Schrempf 2018+   License     :  GPL-3++   Maintainer  :  dominik.schrempf@gmail.com+   Stability   :  unstable+   Portability :  portable++Creation date: Tue Feb 13 13:16:18 2018.++See Gernhard, T. (2008). The conditioned reconstructed process. Journal of+Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.++Distribution of the values of the point process such that it corresponds to+reconstructed trees under the birth and death process; critical birth and death+process with lambda=mu.++-}++module ELynx.Distribution.BirthDeathCritical+  ( BirthDeathCriticalDistribution(..)+  , cumulative+  , density+  , quantile+  ) where++import           Data.Data                (Data, Typeable)+import           GHC.Generics             (Generic)+import qualified Statistics.Distribution  as D++import           ELynx.Distribution.Types++-- | Distribution of the values of the point process such that it corresponds to+-- a reconstructed tree of the birth and death process.+data BirthDeathCriticalDistribution = BDCD+  { bdcdTOr :: Time         -- ^ Time to origin of the tree.+  , bdcdLa  :: Rate    -- ^ Birth and death rate.+  } deriving (Eq, Typeable, Data, Generic)++instance D.Distribution BirthDeathCriticalDistribution where+    cumulative = cumulative++-- | Cumulative distribution function section 2.1.2, second formula.+cumulative :: BirthDeathCriticalDistribution -> Time -> Double+cumulative (BDCD t l) x+  | x <= 0    = 0+  | x >  t    = 1+  | otherwise = x / (1.0 + l * x) * (1.0 + l * t) / t++instance D.ContDistr BirthDeathCriticalDistribution where+  density  = density+  quantile = quantile++-- | Density function section 2.1.2, first formula.+density :: BirthDeathCriticalDistribution -> Time -> Double+density (BDCD t l) x+  | x < 0     = 0+  | x > t     = 0+  | otherwise = (1.0 + l * t) / (t * (1.0 + l * x)**2)++-- | Inverted cumulative probability distribution 'cumulative'. See also+-- 'D.ContDistr'.+quantile :: BirthDeathCriticalDistribution -> Double -> Time+quantile (BDCD t l) p+  | p >= 0 && p <= 1 = res+  | otherwise        =+    error $ "PointProcess.quantile: p must be in [0,1] range. Got: " ++ show p ++ "."+ where res = p * t / (1 + l*t - l*p*t)++instance D.ContGen BirthDeathCriticalDistribution where+  genContVar = D.genContinuous
+ src/ELynx/Distribution/BirthDeathCriticalNoTime.hs view
@@ -0,0 +1,73 @@+{-# LANGUAGE DeriveDataTypeable #-}+{-# LANGUAGE DeriveGeneric      #-}++{- |+   Module      :  ELynx.Distribution.BirthDeathCriticalNoTime+   Description :  Birth and death distribution+   Copyright   :  (c) Dominik Schrempf 2018+   License     :  GPL-3++   Maintainer  :  dominik.schrempf@gmail.com+   Stability   :  unstable+   Portability :  portable++Creation date: Tue Feb 13 13:16:18 2018.++See Gernhard, T. (2008). The conditioned reconstructed process. Journal of+Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.++Distribution of the values of the point process such that it corresponds to+reconstructed trees under the birth and death process; critical birth and death+process with lambda=mu.++-}++module ELynx.Distribution.BirthDeathCriticalNoTime+  ( BirthDeathCriticalNoTimeDistribution(..)+  , cumulative+  , density+  , quantile+  ) where++import           Data.Data                (Data, Typeable)+import           GHC.Generics             (Generic)+import qualified Statistics.Distribution  as D++import           ELynx.Distribution.Types++-- | Distribution of the values of the point process such that it corresponds to+-- a reconstructed tree of the birth and death process.+newtype BirthDeathCriticalNoTimeDistribution = BDCNTD+  { bdcntdLa  :: Rate    -- ^ Birth and death rate.+  } deriving (Eq, Typeable, Data, Generic)++instance D.Distribution BirthDeathCriticalNoTimeDistribution where+    cumulative = cumulative++-- | Cumulative distribution function section 2.1.2, second formula.+cumulative :: BirthDeathCriticalNoTimeDistribution -> Time -> Double+cumulative (BDCNTD l) x+  | x <= 0    = 0+  | otherwise = x * l / (1.0 + x * l)++instance D.ContDistr BirthDeathCriticalNoTimeDistribution where+  density  = density+  quantile = quantile++-- | Density function section 2.1.2, first formula; t cancels out because it is+-- expected to be much larger than 1.0; because t \in [0, \infty].+density :: BirthDeathCriticalNoTimeDistribution -> Time -> Double+density (BDCNTD l) x+  | x < 0     = 0+  | otherwise = l / ((1.0 + x * l)**2)++-- | Inverted cumulative probability distribution 'cumulative'. See also+-- 'D.ContDistr'.+quantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Time+quantile (BDCNTD l) p+  | p >= 0 && p <= 1 = p / (l - l*p)+  | otherwise        =+    error $ "PointProcess.quantile: p must be in [0,1]. Got: " ++ show p ++ "."++instance D.ContGen BirthDeathCriticalNoTimeDistribution where+  genContVar = D.genContinuous
+ src/ELynx/Distribution/BirthDeathNearlyCritical.hs view
@@ -0,0 +1,89 @@+{-# LANGUAGE DeriveDataTypeable #-}+{-# LANGUAGE DeriveGeneric      #-}++{- |+   Module      :  ELynx.Distribution.BirthDeathNearlyCritical+   Description :  Birth and death distribution+   Copyright   :  (c) Dominik Schrempf 2018+   License     :  GPL-3++   Maintainer  :  dominik.schrempf@gmail.com+   Stability   :  unstable+   Portability :  portable++Creation date: Tue Feb 13 13:16:18 2018.++See Gernhard, T. (2008). The conditioned reconstructed process. Journal of+Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.++Distribution of the values of the point process such that it corresponds to+reconstructed trees under the birth and death process; nearly critical birth and+death process with lambda~mu.++Basically, this is a Taylor expansion of Eq. (2) and Eq. (3).++-}++module ELynx.Distribution.BirthDeathNearlyCritical+  ( BirthDeathNearlyCriticalDistribution(..)+  , cumulative+  , density+  , quantile+  ) where++import           Data.Data                (Data, Typeable)+import           GHC.Generics             (Generic)+import qualified Statistics.Distribution  as D++import           ELynx.Distribution.Types++-- | Distribution of the values of the point process such that it corresponds to+-- a reconstructed tree of the birth and death process.+data BirthDeathNearlyCriticalDistribution = BDNCD+  { bdncdTOr :: Time    -- ^ Time to origin of the tree.+  , bdncdLa  :: Rate    -- ^ Birth and death rate.+  , bdncdMu  :: Rate    -- ^ Birth and death rate.+  } deriving (Eq, Typeable, Data, Generic)++instance D.Distribution BirthDeathNearlyCriticalDistribution where+    cumulative = cumulative++-- | Cumulative distribution function section 2.1.2, second formula.+cumulative :: BirthDeathNearlyCriticalDistribution -> Time -> Double+cumulative (BDNCD t l m) s+  | s <= 0    = 0+  | s >  t    = 1+  | otherwise = o0 + o1+  where o0 = s * (1.0 + t*l) / t / (1.0 + s*l)+        o1 = (-s*s + s*t) * (m - l) / (2.0*t * (1.0 + s*l)**2)++instance D.ContDistr BirthDeathNearlyCriticalDistribution where+  density  = density+  quantile = quantile++-- | Density function section 2.1.2, first formula.+density :: BirthDeathNearlyCriticalDistribution -> Time -> Double+density (BDNCD t l m) s+  | s < 0     = 0+  | s > t     = 0+  | otherwise = o0 + o1+  where+    o0 = (1.0 + t*l) / (t * (1.0 + s*l)**2)+    o1 = (-2.0*s + t - s*t*l) * (m - l) / (2.0*t * (1.0 + s*l)**3)++-- | Inverted cumulative probability distribution 'cumulative'. See also+-- 'D.ContDistr'.+quantile :: BirthDeathNearlyCriticalDistribution -> Double -> Time+quantile (BDNCD t l m) p+  | p >= 0 && p <= 1 = res+  | otherwise        =+    error $ "PointProcess.quantile: p must be in [0,1] range. Got: " ++ show p ++ "."+ where+   den   = l*(-3.0 + 2.0*t*(-1.0+p)*l)+m+   t1    = (2.0 + t*(l - 4.0*p*l + m)) / den+   t2Nom = 4.0 + t*(l*(4.0 + t*l + 8.0*p*(1.0 + t*l)) + 2.0*(2.0 + t*l - 4.0*p*(1.0 + t*l))*m + t*m*m)+   t2    = t2Nom / (den**2)+   res   = 0.5 * (t1 + sqrt t2)++instance D.ContGen BirthDeathNearlyCriticalDistribution where+  genContVar = D.genContinuous
+ src/ELynx/Distribution/CoalescentContinuous.hs view
@@ -0,0 +1,26 @@+{- |+Module      :  ELynx.Distribution.CoalescentContinuous+Description :  Distribution of coalescent times+Copyright   :  (c) Dominik Schrempf 2018+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Wed May 16 12:40:45 2018.++-}++module ELynx.Distribution.CoalescentContinuous+  ( coalescentDistributionCont+  ) where++import           Numeric.SpecFunctions               (choose)+import           Statistics.Distribution.Exponential++-- | Distribution of the next coalescent event for a number of samples @n@. The+-- time is measured in units of effective number of population size.+coalescentDistributionCont :: Int -- ^ Sample size.+                           -> ExponentialDistribution+coalescentDistributionCont n = exponential (choose n 2)
+ src/ELynx/Distribution/TimeOfOrigin.hs view
@@ -0,0 +1,84 @@+{-# LANGUAGE DeriveDataTypeable #-}+{-# LANGUAGE DeriveGeneric      #-}++{- |+   Module      :  ELynx.Distribution.TimeOfOrigin+   Description :  Distribution of time of origin for birth and death trees+   Copyright   :  (c) Dominik Schrempf 2018+   License     :  GPL-3++   Maintainer  :  dominik.schrempf@gmail.com+   Stability   :  unstable+   Portability :  portable++Creation date: Tue Feb 13 13:16:18 2018.++See Gernhard, T. (2008). The conditioned reconstructed process. Journal of+Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.++Distribution of the time of origin for birth and death trees. See corollary 3.3+in the paper cited above.++-}++module ELynx.Distribution.TimeOfOrigin+  ( TimeOfOriginDistribution(..)+  , cumulative+  , density+  , quantile+  ) where++import           Data.Data                (Data, Typeable)+import           GHC.Generics             (Generic)+import qualified Statistics.Distribution  as D++import           ELynx.Distribution.Types++-- | Distribution of the time of origin for a phylogenetic tree evolving under+-- the birth and death process and conditioned on observing n leaves today.+data TimeOfOriginDistribution = TOD+  { todTN :: Int           -- ^ Number of leaves of the tree.+  , todLa :: Rate          -- ^ Birth rate.+  , todMu :: Rate          -- ^ Death rate.+  } deriving (Eq, Typeable, Data, Generic)++instance D.Distribution TimeOfOriginDistribution where+    cumulative = cumulative++-- | Cumulative distribution function Corollary 3.3.+cumulative :: TimeOfOriginDistribution -> Time -> Double+cumulative (TOD n l m) x+  | x <= 0    = 0+  | otherwise = te ** fromIntegral n+  where d  = l - m+        te = l * (1.0 - exp (-d*x)) / (l - m*exp(-d*x))++instance D.ContDistr TimeOfOriginDistribution where+  density  = density+  quantile = quantile++-- | The density function Eq. (5).+density :: TimeOfOriginDistribution -> Time -> Double+density (TOD nn l m) x+  | x < 0     = 0+  | otherwise = n * l**n * d**2 * t1**(n-1.0) * ex / (t2**(n+1.0))+  where d  = l - m+        n  = fromIntegral nn+        ex = exp(-d*x)+        t1 = 1.0 - ex+        t2 = l - m*ex++-- | The inverted cumulative probability distribution 'cumulative'. See also+-- 'D.ContDistr'.+quantile :: TimeOfOriginDistribution -> Double -> Time+quantile (TOD n' l m) p+  | p >= 0 && p <= 1 = -1.0/d * log(t1/t2)+  | otherwise        =+    error $ "PointProcess.quantile: p must be in [0,1] range. Got: " ++ show p ++ "."+ where d  = l - m+       n  = fromIntegral n'+       t1 = l*(1.0-p**(1.0/n))+       t2 = l - p**(1.0/n)*m++instance D.ContGen TimeOfOriginDistribution where+  genContVar = D.genContinuous
+ src/ELynx/Distribution/TimeOfOriginNearCritical.hs view
@@ -0,0 +1,84 @@+{-# LANGUAGE DeriveDataTypeable #-}+{-# LANGUAGE DeriveGeneric      #-}++{- |+   Module      :  ELynx.Distribution.TimeOfOriginNearCritical+   Description :  Distribution of time of origin for birth and death trees+   Copyright   :  (c) Dominik Schrempf 2018+   License     :  GPL-3++   Maintainer  :  dominik.schrempf@gmail.com+   Stability   :  unstable+   Portability :  portable++Creation date: Tue Feb 13 13:16:18 2018.++See Gernhard, T. (2008). The conditioned reconstructed process. Journal of+Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.++Distribution of the time of origin for birth and death trees. See corollary 3.3+in the paper cited above.++-}++module ELynx.Distribution.TimeOfOriginNearCritical+  ( TimeOfOriginNearCriticalDistribution(..)+  , cumulative+  , density+  , quantile+  ) where++import           Data.Data                (Data, Typeable)+import           GHC.Generics             (Generic)+import qualified Statistics.Distribution  as D++import           ELynx.Distribution.Types++-- | Distribution of the time of origin for a phylogenetic tree evolving under+-- the birth and death process and conditioned on observing n leaves today.+data TimeOfOriginNearCriticalDistribution = TONCD+  { todTN :: Int           -- ^ Number of leaves of the tree.+  , todLa :: Rate          -- ^ Birth rate.+  , todMu :: Rate          -- ^ Death rate.+  } deriving (Eq, Typeable, Data, Generic)++instance D.Distribution TimeOfOriginNearCriticalDistribution where+    cumulative = cumulative++-- | Cumulative distribution function; see Mathematica notebook.+cumulative :: TimeOfOriginNearCriticalDistribution -> Time -> Double+cumulative (TONCD n' l m) t+  | t <= 0    = 0+  | otherwise = t1 + t2+  where d  = l - m+        n  = fromIntegral n'+        t1 = (t*l/(1.0 + t*l)) ** n+        t2 = (n * t * t1) * d / (2.0 * (1.0 + t*l))++instance D.ContDistr TimeOfOriginNearCriticalDistribution where+  density  = density+  quantile = quantile++-- | The density function Eq. (5).+density :: TimeOfOriginNearCriticalDistribution -> Time -> Double+density (TONCD n' l m) t+  | t < 0     = 0+  | otherwise = nom/den+  where n  = fromIntegral n'+        nom = n * (t*l/(1+t*l))**n * (2+(3+n)*t*l - (1+n)*t*m)+        den = 2*t*(1+t*l)**2++-- | The inverted cumulative probability distribution 'cumulative'. See also+-- 'D.ContDistr'.+quantile :: TimeOfOriginNearCriticalDistribution -> Double -> Time+quantile (TONCD n' l m) p+  | p >= 0 && p <= 1 = t1 + t2nom/t2den+  | otherwise        =+    error $ "PointProcess.quantile: p must be in [0,1] range. Got: " ++ show p ++ "."+  where n = fromIntegral n'+        t1 = - p**(1/n)/((-1+p**(1/n))*l)+        t2nom = p**(2/n)*(m-l)+        t2den = 2*(-1+p**(1/n))**2 * l**2++instance D.ContGen TimeOfOriginNearCriticalDistribution where+  genContVar = D.genContinuous
+ src/ELynx/Distribution/Types.hs view
@@ -0,0 +1,27 @@+{- |+Module      :  ELynx.Distribution.Types+Description :  Data types for distributions on trees+Copyright   :  (c) Dominik Schrempf 2018+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Wed May 16 12:21:57 2018.++-}+++module ELynx.Distribution.Types+  ( Time+  , Rate+  ) where++-- | Branch lengths are measured in time.+type Time = Double++-- | Birth or death rates.+type Rate = Double++
+ src/ELynx/Export/Tree/Newick.hs view
@@ -0,0 +1,62 @@+{- |+Module      :  ELynx.Export.Tree.Newick+Description :  Export tree objects to Newick format+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jan 17 13:51:47 2019.++Parts of the code are from https://hackage.haskell.org/package/BiobaseNewick.++See nomenclature in 'ELynx.Data.Tree.Tree'.++-}++module ELynx.Export.Tree.Newick+  ( toNewick+  -- , toNewickPhyloIntTree+  -- , toNewickPhyloByteStringTree+  ) where++import qualified Data.ByteString.Lazy.Builder      as L+import qualified Data.ByteString.Lazy.Char8        as L+import           Data.List                         (intersperse)+-- import           Data.Maybe+import           Data.Tree++import           ELynx.Data.Tree.BranchSupportTree+import           ELynx.Data.Tree.MeasurableTree+import           ELynx.Data.Tree.NamedTree+-- import           ELynx.Data.Tree.PhyloTree+import           ELynx.Tools.ByteString            (c2w)++-- | General conversion of a tree into a Newick 'L.Bytestring'. Use provided+-- functions to extract node labels and branch lengths builder objects. See also+-- Biobase.Newick.Export.+toNewick :: (Named a, Measurable a, BranchSupportLabel a) => Tree a -> L.ByteString+toNewick t =+  L.toLazyByteString $ go t <> L.word8 (c2w ';')+  where+    go (Node l [])   = lbl l+    go (Node l ts)   = L.word8 (c2w '(')+                       <> mconcat (intersperse (L.word8 $ c2w ',') $ map go ts)+                       <> L.word8 (c2w ')') <> brSup l+                       <> lbl l+    lbl l = L.lazyByteString (getName l)+            <> L.word8 (c2w ':')+            <> L.doubleDec (getLen l)+    brSup l = maybe mempty L.doubleDec (getBranchSupport l)++-- -- | Convenience function for exporting trees with 'Int' labels and 'Double'+-- -- branch lengths.+-- toNewickPhyloIntTree :: Tree PhyloIntLabel -> L.ByteString+-- toNewickPhyloIntTree = toNewickWith (L.intDec . pLabel) (L.doubleDec . pBrLen)++-- -- | Convenience function for exporting trees with 'L.ByteString' labels and+-- -- 'Double' branch lengths.+-- toNewickPhyloByteStringTree :: Tree PhyloByteStringLabel -> L.ByteString+-- toNewickPhyloByteStringTree = toNewickWith (L.lazyByteString . pLabel) (L.doubleDec . pBrLen)
+ src/ELynx/Import/Tree/Newick.hs view
@@ -0,0 +1,110 @@+{- |+Module      :  ELynx.Import.Tree.Newick+Description :  Import Newick trees+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Thu Jan 17 14:56:27 2019.++Code partly taken from Biobase.Newick.Import.++[Specifications](http://evolution.genetics.washington.edu/phylip/newicktree.html)++- In particular, no conversion from _ to (space) is done right now.++-}+++module ELynx.Import.Tree.Newick+  ( Parser+  , newick+  , manyNewick+  , forest+  , leaf+  , node+  , name+  , branchLength+  ) where++import qualified Data.ByteString.Lazy       as L+import           Data.Tree+import           Data.Void+import           Data.Word+import           Text.Megaparsec+import           Text.Megaparsec.Byte+import           Text.Megaparsec.Byte.Lexer (decimal, float)++import           ELynx.Data.Tree.PhyloTree+import           ELynx.Tools.ByteString     (c2w)++-- | Shortcut.+type Parser = Parsec Void L.ByteString++-- | Parse many Newick trees.+manyNewick :: Parser [Tree PhyloByteStringLabel]+manyNewick = some (newick <* space) <* eof <?> "manyNewick"++-- | Parse a Newick tree.+newick :: Parser (Tree PhyloByteStringLabel)+newick = tree <* char (c2w ';') <?> "newick"++tree :: Parser (Tree PhyloByteStringLabel)+tree = space *> (branched <|> leaf) <?> "tree"++branched :: Parser (Tree PhyloByteStringLabel)+branched = do+  f <- forest+  s <- branchSupport+  n <- node+    <?> "branched"+  let n' = n {pBrSup = s}+  return $ Node n' f++-- | A 'forest' is a set of trees separated by @,@ and enclosed by parentheses.+forest :: Parser [Tree PhyloByteStringLabel]+forest = do+  _ <- char (c2w '(')+  f <- tree `sepBy1` char (c2w ',')+  _ <- char (c2w ')')+    <?> "forest"+  return f++branchSupport :: Parser (Maybe Double)+branchSupport = optional $ try float <|> try decimalAsDouble++-- | A 'leaf' is a 'node' without children.+leaf :: Parser (Tree PhyloByteStringLabel)+leaf = do+  n <- node+    <?> "leaf"+  return $ Node n []++-- | A 'node' has a name and a 'branchLength'.+node :: Parser PhyloByteStringLabel+node = do+  n <- name+  b <- branchLength+    <?> "node"+  return $ PhyloLabel n Nothing b++checkNameCharacter :: Word8 -> Bool+checkNameCharacter c = c `notElem` map c2w " :;()[],"++-- | A name can be any string of printable characters except blanks, colons,+-- semicolons, parentheses, and square brackets (and commas).+name :: Parser L.ByteString+name = L.pack <$> many (satisfy checkNameCharacter) <?> "name"++-- | Branch lengths default to 0.+branchLength :: Parser Double+branchLength = char (c2w ':') *> branchLengthGiven <|> pure 0 <?> "branchLength"++branchLengthGiven :: Parser Double+branchLengthGiven = try float <|> decimalAsDouble++decimalAsDouble :: Parser Double+decimalAsDouble = fromIntegral <$> (decimal :: Parser Int)
+ src/ELynx/Simulate/Coalescent.hs view
@@ -0,0 +1,62 @@+{- |+Module      :  ELynx.Simulate.Coalescent+Description :  Generate coalescent trees+Copyright   :  (c) Dominik Schrempf 2018+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Wed May 16 13:13:11 2018.++-}+++module ELynx.Simulate.Coalescent+  ( simulate+  ) where++import           Control.Monad.Primitive+import           Data.Tree+import           Statistics.Distribution+import           System.Random.MWC++import           ELynx.Data.Tree.MeasurableTree+import           ELynx.Data.Tree.PhyloTree+import           ELynx.Data.Tree.Tree+import           ELynx.Distribution.CoalescentContinuous++-- | Simulate a coalescent tree with @n@ leaves. The branch lengths are in units+-- of effective population size.+simulate :: (PrimMonad m)+         => Int -- ^ Number of leaves.+         -> Gen (PrimState m)+         -> m (Tree PhyloIntLabel)+simulate n = simulate' n 0 trs+  where trs = [ singleton (PhyloLabel i Nothing 0.0) | i <- [0..n-1] ]++simulate' :: (PrimMonad m)+          => Int+          -> Int+          -> [Tree PhyloIntLabel]+          -> Gen (PrimState m)+          -> m (Tree PhyloIntLabel)+simulate' n a trs g+  | n <= 0                     = error "Cannot construct trees without leaves."+  | n == 1 && length trs /= 1  = error "Too many trees provided."+  | n == 1 && length trs == 1  = return $ head trs+  | otherwise                  =+      do+        -- Indices of the leaves to join will be i-1 and i.+        i <- uniformR (1, n-1) g+        -- The time of the coalescent event.+        t <- genContVar (coalescentDistributionCont n) g+        let trs'  = map (lengthenRoot t) trs -- Move time 't' up on the tree.+            tl    = trs' !! (i-1)+            tr    = trs' !! i+            -- Join the two chosen trees.+            tm    = Node (PhyloLabel a Nothing 0.0) [tl, tr]+            -- Take the trees on the left, the merged tree, and the trees on the right.+            trs'' = take (i-1) trs' ++ [tm] ++ drop (i+1) trs'+        simulate' (n-1) a trs'' g
+ src/ELynx/Simulate/PointProcess.hs view
@@ -0,0 +1,233 @@+{-# LANGUAGE BangPatterns #-}++{- |+   Module      :  ELynx.Simulate.PointProcess+   Description :  Point process and functions+   Copyright   :  (c) Dominik Schrempf 2018+   License     :  GPL-3++   Maintainer  :  dominik.schrempf@gmail.com+   Stability   :  unstable+   Portability :  portable++Creation date: Tue Feb 13 13:16:18 2018.++See Gernhard, T. (2008). The conditioned reconstructed process. Journal of+Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.++The point process can be used to simulate reconstructed trees under the birth+and death process.++-}++module ELynx.Simulate.PointProcess+  ( PointProcess(..)+  , TimeSpec+  , simulate+  , toReconstructedTree+  , simulateReconstructedTree+  , simulateNReconstructedTrees+  ) where++import           Control.Monad+import           Control.Monad.Primitive+import           Data.List                                   (mapAccumL)+import           Data.Tree+import qualified Statistics.Distribution                     as D (genContVar)+import           System.Random.MWC++import           ELynx.Data.Tree.MeasurableTree+import           ELynx.Data.Tree.PhyloTree+import           ELynx.Data.Tree.Tree+import           ELynx.Distribution.BirthDeath+import           ELynx.Distribution.BirthDeathCritical+import           ELynx.Distribution.BirthDeathCriticalNoTime+import           ELynx.Distribution.BirthDeathNearlyCritical+import           ELynx.Distribution.TimeOfOrigin+import           ELynx.Distribution.TimeOfOriginNearCritical+import           ELynx.Distribution.Types+import           ELynx.Tools.Equality+import           ELynx.Tools.List++epsNearCriticalPointProcess :: Double+epsNearCriticalPointProcess = 1e-5++epsNearCriticalTimeOfOrigin :: Double+epsNearCriticalTimeOfOrigin = 1e-8++-- | A __point process__ for \(n\) points and of age \(t_{or}\) is defined as+-- follows. Draw $n$ points on the horizontal axis at \(1,2,\ldots,n\). Pick+-- \(n-1\) points at locations \((i+1/2, s_i)\), \(i=1,2,\ldots,n-1\);+-- \(0 < s_i < t_{or}\). There is a bijection between (ranked) oriented trees+-- and the point process. Usually, a will be 'String' (or 'Int') and b will be+-- 'Double'.+data PointProcess a b = PointProcess+  { points :: ![a]+  , values :: ![b]+  , origin :: !b } deriving (Read, Show, Eq)++-- | If nothing, sample time of origin from respective distribution. If time is+-- given, we need to know if we condition on the time of origin, or the time of+-- the most recent common ancestor (MRCA).+type TimeSpec = Maybe (Time, Bool)++-- | Sample a point process using the 'BirthDeathDistribution'. The names of the+-- points will be integers.+simulate :: (PrimMonad m)+         => Int        -- ^ Number of points (samples)+         -> TimeSpec   -- ^ Time of origin or MRCA+         -> Rate       -- ^ Birth rate+         -> Rate       -- ^ Death rate+         -> Gen (PrimState m)   -- ^ Generator (see 'System.Random.MWC')+         -> m (PointProcess Int Double)+-- No time of origin given. We also don't need to take care of the conditioning+-- (origin or MRCA).+simulate n Nothing l m g+  -- XXX. There is no formula for the over-critical process.+  | m > l    = error "Time of origin distribution formula not available when mu > lambda. Please specify height for the moment."+  -- For the critical process, we have no idea about the time of origin, but can+  -- use a specially derived distribution.+  | m =~= l   = do+      !vs <- replicateM (n-1) (D.genContVar (BDCNTD l) g)+      -- XXX: The length of the root branch will be 0.+      let t = maximum vs+      return $ PointProcess [0..(n-1)] vs t+  -- For the near critical process, we use a special distribution.+  | abs (m-l) <= epsNearCriticalTimeOfOrigin = do+      t <- D.genContVar (TONCD n l m) g+      simulate n (Just (t, False)) l m g+  -- For a sub-critical branching process, we can use the formula from Tanja Stadler.+  | otherwise = do+      t <- D.genContVar (TOD n l m) g+      simulate n (Just (t, False)) l m g+-- Time of origin is given.+simulate n (Just (t, c)) l m g+  | n < 1     = error "Number of samples needs to be one or larger."+  | t < 0.0   = error "Time of origin needs to be positive."+  | l < 0.0   = error "Birth rate needs to be positive."+  -- See Stadler, T., & Steel, M. (2019). Swapping birth and death: symmetries+  -- and transformations in phylodynamic models. , (), .+  -- http://dx.doi.org/10.1101/494583. Should be possible now.+  -- -- | m < 0.0   = error "Death rate needs to be positive."+  -- Now, we have three different cases.+  -- 1. The critical branching process.+  -- 2. The near critical branching process.+  -- 3. Normal values :).+  | (m =~= l) && not c = do+      !vs <- replicateM (n-1) (D.genContVar (BDCD t l) g)+      return $ PointProcess [0..(n-1)] vs t+  | (abs (m - l) <= epsNearCriticalPointProcess) && not c = do+      !vs <- replicateM (n-1) (D.genContVar (BDNCD t l m) g)+      return $ PointProcess [0..(n-1)] vs t+  | not c = do+      !vs <- replicateM (n-1) (D.genContVar (BDD t l m) g)+      return $ PointProcess [0..(n-1)] vs t+  | (m =~= l) && c = do+      !vs <- replicateM (n-2) (D.genContVar (BDCD t l) g)+      vs' <- randomInsert t vs g+      return $ PointProcess [0..(n-1)] vs' t+  | (abs (m - l) <= epsNearCriticalPointProcess) && c = do+      !vs <- replicateM (n-2) (D.genContVar (BDNCD t l m) g)+      vs' <- randomInsert t vs g+      return $ PointProcess [0..(n-1)] vs' t+  | c = do+      !vs <- replicateM (n-2) (D.genContVar (BDD t l m) g)+      vs' <- randomInsert t vs g+      return $ PointProcess [0..(n-1)] vs' t+  | otherwise = error "simulate: Fell through guard, this should never happen."++-- | Sort the values of a point process and their indices to be (the indices+-- that they will have while creating the tree).+sort :: (Ord b) => PointProcess a b -> ([b], [Int])+sort (PointProcess _ vs _) = (vsSorted, isSorted)+  where vsIsSorted = sortWithIndices vs+        vsSorted = map fst vsIsSorted+        isSorted = flattenIndices $ map snd vsIsSorted++-- Decrement indices that are above the one that is merged.+flattenIndices :: [Int] -> [Int]+flattenIndices is = snd $ mapAccumL fAcc [] is++-- The accumulating function. Count the number of indices which are before the+-- current index and lower than the current index.+fAcc :: [Int] -> Int -> ([Int], Int)+fAcc is i = (i:is, i')+  where i' = i - length (filter (<i) is)++-- | See 'simulateReconstructedTree', but n times.+simulateNReconstructedTrees+  :: (PrimMonad m)+  => Int        -- ^ Number of trees+  -> Int        -- ^ Number of points (samples)+  -> TimeSpec   -- ^ Time of origin or MRCA+  -> Rate       -- ^ Birth rate+  -> Rate       -- ^ Death rate+  -> Gen (PrimState m)   -- ^ Generator (see 'System.Random.MWC')+  -> m [Tree PhyloIntLabel]+simulateNReconstructedTrees nT nP t l m g+  | nT <= 0   = return []+  | otherwise = replicateM nT $ simulateReconstructedTree nP t l m g++-- | Use the point process to simulate a reconstructed tree (see+-- 'toReconstructedTree') possibly with specific height and a fixed number of+-- leaves according to the birth and death process.+simulateReconstructedTree+  :: (PrimMonad m)+  => Int        -- ^ Number of points (samples)+  -> TimeSpec   -- ^ Time of origin or MRCA+  -> Rate       -- ^ Birth rate+  -> Rate       -- ^ Death rate+  -> Gen (PrimState m)   -- ^ Generator (see 'System.Random.MWC')+  -> m (Tree PhyloIntLabel)+simulateReconstructedTree n t l m g =  toReconstructedTree <$> simulate n t l m g++-- | Convert a point process to a reconstructed tree. See Lemma 2.2.++-- Of course, I decided to only use one tree structure with extinct and extant+-- leaves (actually a complete tree). So a tree created here just does not+-- contain extinct leaves. A function 'isReconstructed' is provided to test if a+-- tree is reconstructed (and not complete) in this sense. However, a complete+-- tree might show up as "reconstructed", just because, by chance, it does not+-- contain extinct leaves. I wanted to use a Monoid constraint to get the unit+-- element, but this fails for classical 'Int's. So, I rather have another+-- (useless) argument.+toReconstructedTree :: PointProcess Int Double+                    -> Tree PhyloIntLabel+toReconstructedTree pp@(PointProcess ps vs o)+  | length ps /= length vs + 1 = error "Too few or too many points."+  | length vs <= 1             = error "Too few values."+  -- -- XXX: Test is deactivated.+  -- -- | otherwise = if isReconstructed treeOrigin then treeOrigin else error "Error in algorithm."+  | otherwise = treeOrigin+  where (vsSorted, isSorted) = sort pp+        !lvs        = [ singleton (PhyloLabel p Nothing 0) | p <- ps ]+        !heights    = replicate (length ps) 0+        !treeRoot   = toReconstructedTree' isSorted vsSorted lvs heights+        !h          = last vsSorted+        !treeOrigin = lengthenRoot (o-h) treeRoot++-- Move up the tree, connect nodes when they join according to the point process.+toReconstructedTree' :: [Int]                -- Sorted indices, see 'sort'.+                     -> [Double]             -- Sorted merge values.+                     -> [Tree PhyloIntLabel] -- Leaves with accumulated root branch lengths.+                     -> [Double]             -- Accumulated heights of the leaves.+                     -> Tree PhyloIntLabel+toReconstructedTree' [] [] trs  _ = head trs+toReconstructedTree' is vs trs hs = toReconstructedTree' is' vs' trs'' hs'+  -- For the algorithm, see 'ELynx.Coalescent.simulate', but index starts+  -- at zero.+  where !i     = head is+        !is'   = tail is+        !v     = head vs+        !vs'   = tail vs+        -- Left: l, right: r.+        !hl    = hs !! i+        !hr    = hs !! (i+1)+        !dvl   = v - hl+        !dvr   = v - hr+        !tl    = lengthenRoot dvl $ trs !! i+        !tr    = lengthenRoot dvr $ trs !! (i+1)+        !h'    = hl + dvl       -- Should be the same as 'hr + dvr'.+        !tm    = Node (PhyloLabel 0 Nothing 0) [tl, tr]+        !trs'' = take i trs ++ [tm] ++ drop (i+2) trs+        !hs'   = take i hs ++ [h'] ++ drop (i+2) hs
+ test/ELynx/Data/Tree/BipartitionSpec.hs view
@@ -0,0 +1,79 @@+{-# LANGUAGE OverloadedStrings #-}++{- |+Module      :  ELynx.Data.Tree.BipartitionSpec+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Fri Aug 30 09:38:50 2019.++-}++module ELynx.Data.Tree.BipartitionSpec+  (spec+  ) where++import qualified Data.ByteString.Lazy        as L+import qualified Data.Map                    as M+import           Data.Monoid+import qualified Data.Set                    as S+import           Data.Tree+import           Test.Hspec++import           ELynx.Data.Tree.Bipartition+import           ELynx.Data.Tree.PhyloTree+import           ELynx.Import.Tree.Newick+import           ELynx.Tools.InputOutput++treeFileSimple :: FilePath+treeFileSimple = "data/TreeDist.trees"++getSimpleTrees :: IO [Tree PhyloByteStringLabel]+getSimpleTrees = parseFileWith manyNewick treeFileSimple++bipartitionToBranchAnswer :: M.Map (Bipartition L.ByteString) (Sum Double)+bipartitionToBranchAnswer =+  M.fromList [ (bp (S.fromList ["B"]) (S.fromList ["A","C","D","E"]), Sum {getSum = 0.3})+             , (bp (S.fromList ["B","C","D","E"]) (S.fromList ["A"]), Sum {getSum = 0.1})+             , (bp (S.fromList ["B","C","E"]) (S.fromList ["A","D"]), Sum {getSum = 5.0e-2})+             , (bp (S.fromList ["B","E"]) (S.fromList ["A","C","D"]), Sum {getSum = 0.4})+             , (bp (S.fromList ["C"]) (S.fromList ["A","B","D","E"]), Sum {getSum = 1.0e-2})+             , (bp (S.fromList ["D"]) (S.fromList ["A","B","C","E"]), Sum {getSum = 0.25})+             , (bp (S.fromList ["E"]) (S.fromList ["A","B","C","D"]), Sum {getSum = 0.8}) ]++bipartitionsFirstTree :: S.Set (Bipartition L.ByteString)+bipartitionsFirstTree = S.fromList [ bp (S.fromList ["B"]) (S.fromList ["A","C","D","E"])+                                   , bp (S.fromList ["B","C","D","E"]) (S.fromList ["A"])+                                   , bp (S.fromList ["B","D","E"]) (S.fromList ["A","C"])+                                   , bp (S.fromList ["B","E"]) (S.fromList ["A","C","D"])+                                   , bp (S.fromList ["C"]) (S.fromList ["A","B","D","E"])+                                   , bp (S.fromList ["D"]) (S.fromList ["A","B","C","E"])+                                   , bp (S.fromList ["E"]) (S.fromList ["A","B","C","D"]) ]++bipartitionsSecondTree :: S.Set (Bipartition L.ByteString)+bipartitionsSecondTree = S.fromList [ bp (S.fromList ["B"]) (S.fromList ["A","C","D","E"])+                                    , bp (S.fromList ["B","C","D","E"]) (S.fromList ["A"])+                                    , bp (S.fromList ["B","C","E"]) (S.fromList ["A","D"])+                                    , bp (S.fromList ["B","E"]) (S.fromList ["A","C","D"])+                                    , bp (S.fromList ["C"]) (S.fromList ["A","B","D","E"])+                                    , bp (S.fromList ["D"]) (S.fromList ["A","B","C","E"])+                                    , bp (S.fromList ["E"]) (S.fromList ["A","B","C","D"])]++spec :: Spec+spec = do+  describe "bipartitions" $+    it "calculates correct bipartitions for sample trees" $ do+      simpleTrees <- map removeBrLen <$> getSimpleTrees+      let t1 = head simpleTrees+          t2 = simpleTrees !! 1+      bipartitions t1 `shouldBe` bipartitionsFirstTree+      bipartitions t2 `shouldBe` bipartitionsSecondTree+  describe "bipartitionToBranch" $+    it "creates a map from bipartitions to branch lengths" $ do+      simpleTrees <- getSimpleTrees+      bipartitionToBranch pLabel (Sum . pBrLen) (simpleTrees !! 2)+        `shouldBe` bipartitionToBranchAnswer
+ test/ELynx/Data/Tree/DistanceSpec.hs view
@@ -0,0 +1,99 @@+{-# LANGUAGE FlexibleInstances #-}+{- |+Module      :  ELynx.Data.Tree.DistanceSpec+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Fri Aug 30 09:38:50 2019.++-}++module ELynx.Data.Tree.DistanceSpec+  (spec+  ) where++import           Data.Tree+import           Test.Hspec+import           Test.QuickCheck+import           Test.QuickCheck.Instances.Containers ()++import           ELynx.Data.Tree.Distance+import           ELynx.Data.Tree.NamedTree+import           ELynx.Data.Tree.PhyloTree+import           ELynx.Import.Tree.Newick+import           ELynx.Tools.Equality+import           ELynx.Tools.InputOutput++treeFileSimple :: FilePath+treeFileSimple = "data/TreeDist.trees"++getSimpleTrees :: IO [Tree PhyloByteStringLabel]+getSimpleTrees = parseFileWith manyNewick treeFileSimple++treeFileMany :: FilePath+treeFileMany = "data/Many.trees"++getManyTrees :: IO [Tree PhyloByteStringLabel]+getManyTrees = parseFileWith manyNewick treeFileMany++-- I used treedist from Phylip to get the correct results.+-- See http://evolution.genetics.washington.edu/phylip/doc/treedist.html.+symmetricDistanceAnswers :: [Int]+symmetricDistanceAnswers =+  [ 6, 8, 0, 0, 12, 20, 18, 20, 10, 2, 10, 4, 4, 4, 4, 4, 10, 16, 8, 2, 4, 0, 0,+    0, 10, 4, 0, 0, 2, 2, 0, 0, 4, 0, 2, 0, 8, 6, 2, 6, 4, 4, 8, 0, 0, 4, 2, 0,+    10, 0, 0, 10 ]++branchScoreDistanceAnswers :: [Double]+branchScoreDistanceAnswers =+  [ 8.567916e-02, 9.570577e-02, 1.704571e-02, 7.603990e-03, 6.149761e-01,+    3.557070e-01, 2.329811e-01, 3.820208e-01, 1.895421e-02, 6.302364e-03,+    2.083286e-02, 1.023777e-03, 2.138244e-02, 1.444380e-02, 1.958628e-02,+    6.089461e-03, 2.551873e-02, 8.041220e-02, 4.123102e-02, 8.241811e-03,+    2.623805e-02, 2.109278e-02, 1.953769e-02, 4.459926e-03, 6.594537e-02,+    7.040703e-02, 8.603133e-03, 3.878009e-03, 2.969969e-02, 2.505262e-02,+    2.095988e-02, 8.461041e-03, 5.228005e-02, 6.001320e-02, 8.276652e-03,+    6.966115e-03, 7.701581e-02, 4.946339e-02, 2.548024e-02, 5.800598e-03,+    3.875927e-02, 2.836737e-02, 9.059706e-02, 1.333325e-02, 5.071356e-02,+    7.433056e-02, 3.854717e-02, 3.255993e-02, 1.581909e-01, 6.813096e-02,+    8.210513e-02, 7.664642e-02 ]++prop_dist_same_tree :: (Num b, Eq b) => (Tree a -> Tree a -> b) -> Tree a -> Bool+prop_dist_same_tree distanceMeasure t = distanceMeasure t t == 0++-- TODO: Microsporidia trees with branch support values.+-- getMicrospoPoissonTree :: IO (Tree PhyloByteStringLabel)+-- getMicrospoPoissonTree = parseFileWith newick "data/MicrospoPoisson.tree"+-- getMicrospoUDM32Tree = parseFileWith newick "data/MicrospoEDM32.tree"+-- getMicrospoUDM64Tree = parseFileWith newick "data/MicrospoEDM64.tree"++each :: Int -> [a] -> [a]+each n = map head . takeWhile (not . null) . iterate (drop n)++spec :: Spec+spec = do+  describe "symmetricDistance" $+    it "calculates correct distances for sample trees" $ do+      simpleTrees <- getSimpleTrees+      symmetricDistance (head simpleTrees) (simpleTrees !! 1) `shouldBe` 2+      manyTrees <- getManyTrees+      -- Since treedist computes the distance between adjacent pairs, in the+      -- following manner: [tr0, tr1, tr2, tr3] -> [dist tr0 tr1, dist tr2 tr3],+      -- we have to skip some distances.+      each 2 (computeAdjacentDistances (symmetricDistanceWith getName) manyTrees)+        `shouldBe` symmetricDistanceAnswers++  describe "incompatibleSplitDistance" $+    it "calculates correct distances for completely collapsed trees" $+    property $ prop_dist_same_tree (incompatibleSplitsDistance :: Tree PhyloIntLabel -> Tree PhyloIntLabel -> Int)++  describe "branchScoreDistance" $+    it "calculates correct distances for sample trees" $ do+      manyTrees <- getManyTrees+      print branchScoreDistanceAnswers+      each 2 (computeAdjacentDistances branchScoreDistance manyTrees)+        `shouldSatisfy` nearlyEqListWith 1e-5 branchScoreDistanceAnswers
+ test/ELynx/Data/Tree/TreeSpec.hs view
@@ -0,0 +1,66 @@+{- |+Module      :  ELynx.Data.Tree.TreeSpec+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Mon May  6 14:04:05 2019.++-}++module ELynx.Data.Tree.TreeSpec+  (spec+  ) where++import qualified Data.ByteString.Lazy.Char8     as L+import           Data.Maybe+import           Data.Tree+import           Test.Hspec++import           ELynx.Data.Tree.MeasurableTree+import           ELynx.Data.Tree.PhyloTree+import           ELynx.Data.Tree.Tree+import           ELynx.Import.Tree.Newick       hiding (node)+import           ELynx.Tools.InputOutput        (parseByteStringWith)++node :: Int -> Tree Int+node n = Node n []++smallTree :: Tree Int+smallTree = Node 0 [node 1, node 2]++smallSubTree :: Tree Int+smallSubTree = Node 0 [node 1]++smallSubTreePruned :: Tree Int+smallSubTreePruned = node 1++sampleTreeBS :: L.ByteString+sampleTreeBS = L.pack "(Aeropyrum0:0.5478645225,(((((((((Arabidopsi:0.0701001024,Oryza_sati:0.0765988261):0.0309636193,Gymnosperm:0.0520325624):0.0338982245,Physcomitr:0.0768008916):0.0895714685,(Chlamydomo:0.1136227755,Dunaliella:0.1406347323):0.1117340620):0.0818876186,Rhodophyta:0.3405656487):0.0363527066,((((((Babesia_bo:0.1646969208,Theileria0:0.1519889486):0.1908081096,Plasmodium:0.3250696762):0.0637865908,(Toxoplasma:0.1153570425,Eimeria000:0.1671916078):0.0980136930):0.0518956330,Cryptospor:0.3175062809):0.1607708388,Ciliophora:0.5687502950):0.0624078848,(Phytophtho:0.2016424948,((Thalassios:0.1202730781,Phaeodacty:0.1290341329):0.1772775509,Phaeophyce:0.1989260715):0.0312359673):0.1154768302):0.0311952864):0.0149160316,(((((((((Candida_al:0.1027755272,Saccharomy:0.1190206560):0.1333487870,Neurospora:0.1977309079):0.0522926266,Schizosacc:0.2019603227):0.0567441011,(Cryptococc:0.1948614959,Ustilago_m:0.1564451295):0.0775729694):0.0323959951,Glomus_int:0.1573670796):0.0194701292,Chytridiom:0.2228415254):0.0384370601,Encephalit:1.4622174644):0.0416231688,(((Drosophila:0.2160627753,(Mammalians:0.1080484094,Tunicates0:0.1739253014):0.0289624371):0.0346633757,Hydrozoa00:0.2058137032):0.0480963050,Monosiga_b:0.3020637584):0.0654894239):0.0380915725,(Dictyostel:0.3453588998,Mastigamoe:0.3844779231):0.0478795653):0.0129578395):1.7592083381,((Archaeoglo:0.5402784445,Methanococ:0.4088567459):0.0993669265,Pyrococcus:0.4058713829):0.1734405968):0.2193511807,Pyrobaculu:0.7507718047):0.1646616482,Sulfolobus:0.5404967897);"+++largeTree :: Tree PhyloByteStringLabel+largeTree = parseByteStringWith "Sample newick byte string" newick sampleTreeBS++subSampleLargeTree :: Tree PhyloByteStringLabel+subSampleLargeTree = fromJust $ subTree ((== 'P') . L.head . pLabel) largeTree++spec :: Spec+spec = do+  describe "subTree" $ do+    it "returns nothing if no leaf satisfies prediacte" $+      subTree (==3) smallTree `shouldBe` Nothing+    it "returns the correct subtree for a small example" $+      subTree (==1) smallTree `shouldBe` Just smallSubTree++  describe "pruneWith" $ do+    it "leaves a normal tree untouched" $+      pruneWith const largeTree `shouldBe` largeTree+    it "correctly prunes a small example" $+      pruneWith const smallSubTree `shouldBe` smallSubTreePruned+    it "leaves height constant for Measurable trees" $+      height (prune subSampleLargeTree) `shouldBe` height subSampleLargeTree+
+ test/ELynx/Export/Tree/NewickSpec.hs view
@@ -0,0 +1,39 @@+{- |+Module      :  ELynx.Export.Tree.NewickSpec+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Wed Feb 13 11:01:53 2019.++-}++module ELynx.Export.Tree.NewickSpec+  (spec+  ) where++import qualified Data.ByteString.Lazy.Char8 as L+import           Data.Tree+import           Test.Hspec++import           ELynx.Data.Tree.PhyloTree+import           ELynx.Export.Tree.Newick+import           ELynx.Import.Tree.Newick+import           ELynx.Tools.InputOutput++samplePhyloByteStringTree :: Tree PhyloByteStringLabel+samplePhyloByteStringTree =+  parseByteStringWith "Sample newick byte string" newick sampleNewickByteString1++sampleNewickByteString1 :: L.ByteString+sampleNewickByteString1 = L.pack "(Aeropyrum0:0.5478645225,(((((((((Arabidopsi:0.0701001024,Oryza_sati:0.0765988261):0.0309636193,Gymnosperm:0.0520325624):0.0338982245,Physcomitr:0.0768008916):0.0895714685,(Chlamydomo:0.1136227755,Dunaliella:0.1406347323):0.1117340620):0.0818876186,Rhodophyta:0.3405656487):0.0363527066,((((((Babesia_bo:0.1646969208,Theileria0:0.1519889486):0.1908081096,Plasmodium:0.3250696762):0.0637865908,(Toxoplasma:0.1153570425,Eimeria000:0.1671916078):0.0980136930):0.0518956330,Cryptospor:0.3175062809):0.1607708388,Ciliophora:0.5687502950):0.0624078848,(Phytophtho:0.2016424948,((Thalassios:0.1202730781,Phaeodacty:0.1290341329):0.1772775509,Phaeophyce:0.1989260715):0.0312359673):0.1154768302):0.0311952864):0.0149160316,(((((((((Candida_al:0.1027755272,Saccharomy:0.1190206560):0.1333487870,Neurospora:0.1977309079):0.0522926266,Schizosacc:0.2019603227):0.0567441011,(Cryptococc:0.1948614959,Ustilago_m:0.1564451295):0.0775729694):0.0323959951,Glomus_int:0.1573670796):0.0194701292,Chytridiom:0.2228415254):0.0384370601,Encephalit:1.4622174644):0.0416231688,(((Drosophila:0.2160627753,(Mammalians:0.1080484094,Tunicates0:0.1739253014):0.0289624371):0.0346633757,Hydrozoa00:0.2058137032):0.0480963050,Monosiga_b:0.3020637584):0.0654894239):0.0380915725,(Dictyostel:0.3453588998,Mastigamoe:0.3844779231):0.0478795653):0.0129578395):1.7592083381,((Archaeoglo:0.5402784445,Methanococ:0.4088567459):0.0993669265,Pyrococcus:0.4058713829):0.1734405968):0.2193511807,Pyrobaculu:0.7507718047):0.1646616482,Sulfolobus:0.5404967897);"++spec :: Spec+spec = describe "parseByteStringWith newick $ toNewickPhyloByteString" $+  it "should be an invariant" $ do+  let bs = toNewick samplePhyloByteStringTree+  parseByteStringWith "Newick string converted from tree object"+    newick bs `shouldBe` samplePhyloByteStringTree
+ test/ELynx/Import/Tree/NewickSpec.hs view
@@ -0,0 +1,115 @@+{- |+Module      :  ELynx.Import.Tree.NewickSpec+Copyright   :  (c) Dominik Schrempf 2019+License     :  GPL-3++Maintainer  :  dominik.schrempf@gmail.com+Stability   :  unstable+Portability :  portable++Creation date: Fri Jan 18 10:14:04 2019.++-}++module ELynx.Import.Tree.NewickSpec+  (spec) where++import qualified Data.ByteString.Lazy.Char8 as L+import           Data.Tree+import           ELynx.Data.Tree.PhyloTree+import           ELynx.Import.Tree.Newick+import           Test.Hspec+import           Test.Hspec.Megaparsec+import           Text.Megaparsec++sampleLabelByteString :: L.ByteString+sampleLabelByteString = L.pack "name:0.3"++sampleLabel :: PhyloByteStringLabel+sampleLabel = PhyloLabel (L.pack "name") Nothing 0.3++sampleForestByteString :: L.ByteString+sampleForestByteString = L.pack "(l,l,(a,b))"++sampleForest :: [Tree PhyloByteStringLabel]+sampleForest =+  [ Node { rootLabel = PhyloLabel (L.pack "l") Nothing 0+         , subForest = []+         }+  , Node { rootLabel = PhyloLabel (L.pack "l") Nothing 0+         , subForest = []+         }+  , Node { rootLabel = PhyloLabel (L.pack "") Nothing 0+         , subForest =+           [ Node {rootLabel = PhyloLabel (L.pack "a") Nothing 0, subForest = []}+           , Node {rootLabel = PhyloLabel (L.pack "b") Nothing 0, subForest = []}+           ]+         }+  ]++sampleNewickByteString1 :: L.ByteString+sampleNewickByteString1 = L.pack "(Aeropyrum0:0.5478645225,(((((((((Arabidopsi:0.0701001024,Oryza_sati:0.0765988261):0.0309636193,Gymnosperm:0.0520325624):0.0338982245,Physcomitr:0.0768008916):0.0895714685,(Chlamydomo:0.1136227755,Dunaliella:0.1406347323):0.1117340620):0.0818876186,Rhodophyta:0.3405656487):0.0363527066,((((((Babesia_bo:0.1646969208,Theileria0:0.1519889486):0.1908081096,Plasmodium:0.3250696762):0.0637865908,(Toxoplasma:0.1153570425,Eimeria000:0.1671916078):0.0980136930):0.0518956330,Cryptospor:0.3175062809):0.1607708388,Ciliophora:0.5687502950):0.0624078848,(Phytophtho:0.2016424948,((Thalassios:0.1202730781,Phaeodacty:0.1290341329):0.1772775509,Phaeophyce:0.1989260715):0.0312359673):0.1154768302):0.0311952864):0.0149160316,(((((((((Candida_al:0.1027755272,Saccharomy:0.1190206560):0.1333487870,Neurospora:0.1977309079):0.0522926266,Schizosacc:0.2019603227):0.0567441011,(Cryptococc:0.1948614959,Ustilago_m:0.1564451295):0.0775729694):0.0323959951,Glomus_int:0.1573670796):0.0194701292,Chytridiom:0.2228415254):0.0384370601,Encephalit:1.4622174644):0.0416231688,(((Drosophila:0.2160627753,(Mammalians:0.1080484094,Tunicates0:0.1739253014):0.0289624371):0.0346633757,Hydrozoa00:0.2058137032):0.0480963050,Monosiga_b:0.3020637584):0.0654894239):0.0380915725,(Dictyostel:0.3453588998,Mastigamoe:0.3844779231):0.0478795653):0.0129578395):1.7592083381,((Archaeoglo:0.5402784445,Methanococ:0.4088567459):0.0993669265,Pyrococcus:0.4058713829):0.1734405968):0.2193511807,Pyrobaculu:0.7507718047):0.1646616482,Sulfolobus:0.5404967897);"++sampleNewickByteString2 :: L.ByteString+sampleNewickByteString2 = L.pack "(Caenorhabd:0.0176707431,C0briggsae:0.0142817073,(Ancylostom:0.0711440844,(Pristionch:0.1301309005,((Brugia_mal:0.0757534325,Ascaris0su:0.0482660407)1:0.0563924634,(((Meloidogyn:0.1239621893,Heteroderi:0.0987968800)1:0.1136879428,Strongyloi:0.2483437292)1:0.0252467381,(Trichoceph:0.2985037612,((((((Coleoptera:0.0907850846,(Apis0melli:0.0754058285,Hemiptera0:0.1675359618)0.93:0.0085703192)1:0.0146980945,(Siphonapte:0.0556805916,Bombyx0mor:0.0968983509)1:0.0127867903)1:0.0167360185,((Drosophila:0.0492149086,Glossina0m:0.0534390467)1:0.0583462602,Anopheles0:0.0968919941)1:0.0431343553)1:0.0535616453,Crustacea0:0.2247268999)1:0.0252755187,Chelicerat:0.1537491558)1:0.0212497286,((Echinoderm:0.1803896615,(Cephalocho:0.1492264574,(Urochordat:0.2194747834,(Mammalia00:0.0393008407,Actinopter:0.0491700096):0.0858550024)1:0.0157515969)1:0.0132516777)1:0.0203423736,((((((((Neurospora:0.0721607581,Magnaporth:0.0814182810)1:0.0198940548,Gibberella:0.0858192964)1:0.0533872590,Eurotiomyc:0.1058840539)1:0.1266302603,(Candida0al:0.1349957509,Saccharomy:0.1553464572)1:0.1791344287)1:0.0529664967,Schizosacc:0.2550087905)1:0.0723650615,(Ustilago0m:0.2031812772,(Homobasidi:0.1473391802,Cryptococc:0.2070743149)1:0.0347868586)1:0.0790327507)1:0.0727415175,Glomales00:0.1779430068)1:0.0169066667,Chytridiom:0.3028920870)1:0.3311420273)1:0.0278566156)1:0.1049569161)1:0.1366217350)1:0.0171168289)1:0.0345725378)1:0.0542036935)1:0.0879337167)1;"+++sampleNewickEmptyByteString :: L.ByteString+sampleNewickEmptyByteString = L.pack "(,(,,),);"++sampleNewickEmpty :: Tree PhyloByteStringLabel+sampleNewickEmpty =+  Node { rootLabel = PhyloLabel (L.pack "") Nothing 0+       , subForest =+           [ Node {rootLabel = PhyloLabel (L.pack "") Nothing 0, subForest = []}+           , Node {rootLabel = PhyloLabel (L.pack "") Nothing 0, subForest =+                      [ Node {rootLabel = PhyloLabel (L.pack "") Nothing 0, subForest = []}+                      , Node {rootLabel = PhyloLabel (L.pack "") Nothing 0, subForest = []}+                      , Node {rootLabel = PhyloLabel (L.pack "") Nothing 0, subForest = []}+                      ]+                  }+           , Node {rootLabel = PhyloLabel (L.pack "") Nothing 0, subForest = []}+           ]+       }++spec :: Spec+spec = do+  describe "branchLength" $ do+    it "parses a colon and a branch length" $+      parse branchLength "" (L.pack ":13.2") `shouldParse` 13.2++    it "returns 0 if no branch length is given" $+      parse branchLength "" (L.pack "") `shouldParse` 0++  describe "name" $ do+    it "parses a string of printable characters" $+      parse name "" (L.pack "aName") `shouldParse` L.pack "aName"++    it "parses blanks, colons, semicolons, parentheses, and sequare brackets" $+      parse name "" (L.pack "aName bla") `shouldParse` L.pack "aName"++    it "allows empty names" $+      parse name "" (L.pack "") `shouldParse` L.pack ""++  describe "node" $ do+    it "parses a tree node" $+      parse node "" sampleLabelByteString `shouldParse` sampleLabel++    it "parses tree nodes with empty names and branch lengths" $+      parse node "" (L.pack "") `shouldParse` PhyloLabel (L.pack "") Nothing 0++  describe "leaf" $+    it "parses a leaf of a tree" $+      parse leaf "" sampleLabelByteString `shouldParse` Node sampleLabel []++  describe "forest" $+    it "parses a set of trees within brackets" $+    parse forest "" sampleForestByteString `shouldParse` sampleForest++  describe "newick" $ do+    it "parses a newick trees" $ do+      parse newick "" `shouldSucceedOn` sampleNewickByteString1+      parse newick "" `shouldSucceedOn` sampleNewickByteString2++    it "parses a weird newick tree without node labels nor branch lengths" $+      parse newick "" sampleNewickEmptyByteString `shouldParse` sampleNewickEmpty
+ test/Spec.hs view
@@ -0,0 +1,1 @@+{-# OPTIONS_GHC -F -pgmF hspec-discover #-}