commit c9c44e772c0500baf8132d28ffc37cd928902390
Author: Anders Damsgaard Christensen <adc@geo.au.dk>
Date: Mon, 20 May 2013 12:56:18 +0200
Initial commit
Diffstat:
| A | LICENSE.txt | | | 674 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Makefile | | | 15 | +++++++++++++++ |
| A | README.rst | | | 30 | ++++++++++++++++++++++++++++++ |
| A | lbm.c | | | 529 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
4 files changed, 1248 insertions(+), 0 deletions(-)
diff --git a/LICENSE.txt b/LICENSE.txt
@@ -0,0 +1,674 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 3, 29 June 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc. <http://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 <http://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
+<http://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
+<http://www.gnu.org/philosophy/why-not-lgpl.html>.
diff --git a/Makefile b/Makefile
@@ -0,0 +1,15 @@
+CFLAGS=-g -Wall -pg -O2
+LDLIBS=-lm
+BIN=lbm
+
+run: $(BIN)
+ ./$(BIN)
+
+
+profile: clean $(BIN) run
+ gprof $(BIN) > $(BIN)-profile.txt
+ less $(BIN)-profile.txt
+
+clean:
+ $(RM) $(BIN)
+ $(RM) *.o
diff --git a/README.rst b/README.rst
@@ -0,0 +1,30 @@
+================
+lbm-d3q19 readme
+================
+lbm-d3q19 is a simple, three-dimensional lattice-Boltzmann code to approximate
+the Navier-Stokes equations of incompressible fluid flow.
+
+lbm-d3q19 is licensed under the GNU General Public License, v.3.
+See license.txt for more information.
+
+Requirements
+------------
+The build requirements are:
+ * A C/C++ compiler toolkit, e.g. the `GNU Compiler Collection
+ <http://gcc.gnu.org/>`_ (GCC)
+
+Obtaining lbm-d3q19
+-------------------
+The best way to keep up to date with subsequent updates, bugfixes and
+development, is to use the Git version control system. To obtain a local
+copy, execute::
+
+ git clone https://github.com/anders-dc/lbm-d3q19.git
+
+Build and run instructions
+--------------------------
+lbm-d3q19 is built using `make`, the platform-specific c/c++ compilers.
+Execute the following commands from the root directory::
+
+ make
+
diff --git a/lbm.c b/lbm.c
@@ -0,0 +1,529 @@
+#include <stdio.h>
+#include <stdlib.h> // dynamic allocation
+#include <math.h>
+
+// Floating point precision
+//typedef float Float;
+typedef double Float;
+
+// 3D vector
+typedef struct {
+ Float x;
+ Float y;
+ Float z;
+} Float3;
+
+
+
+//// SIMULATION PARAMETERS
+
+// Number of dimensions
+const int n = 3;
+
+// Grid dims
+const unsigned int nx = 4;
+const unsigned int ny = 6;
+const unsigned int nz = 2;
+
+// Grid cell width
+const Float dx = 0.1;
+
+// Number of flow vectors in each cell
+const int m = 19;
+
+// Time step length
+//const Float dt = 1.0;
+const Float dt = 1.0e-4;
+
+// Simulation end time
+const Float t_end = 10.1;
+//const Float t_end = 1.0;
+
+// Fluid dynamic viscosity
+const Float nu = 8.9e-4;
+
+
+// Gravitational acceleration
+//const Float3 g = {0.0, 0.0, -10.0};
+const Float3 g = {0.0, 0.0, 0.0};
+
+
+
+//// FUNCTION DEFINITIONS
+
+Float3 MAKE_FLOAT3(Float x, Float y, Float z)
+{
+ Float3 v;
+ v.x = x; v.y = y; v.z = z;
+ return v;
+}
+
+// Dot product of two Float3 vectors
+Float dot(Float3 a, Float3 b)
+{
+ return a.x*b.x + a.y*b.y + a.z*b.z;
+}
+
+// Viscosity parameter
+Float tau(void) {
+ return (6.0*nu*dt/(dx*dx) + 1.0)/2.0;
+}
+
+// Get i-th value from cell x,y,z
+unsigned int idx(
+ unsigned int x,
+ unsigned int y,
+ unsigned int z)
+{
+ return x + nx*y + nx*ny*z;
+}
+
+// Get i-th value from cell x,y,z
+unsigned int idxi(
+ unsigned int x,
+ unsigned int y,
+ unsigned int z,
+ unsigned int i)
+{
+ return x + ((y + z*ny)*nx) + (nx*ny*nz*i);
+}
+
+// Get i-th weight
+Float w(unsigned int i)
+{
+ if (n == 3 && m == 19) {
+ if (i == 0)
+ return 1.0/3.0;
+ else if (i > 0 && i < 7)
+ return 1.0/18.0;
+ else
+ return 1.0/36.0;
+ } else {
+ fprintf(stderr, "Error in w: m = %d != 19", m);
+ fprintf(stderr, ", n = %d != 3\n", n);
+ exit(1);
+ }
+}
+
+void set_e_values(Float3 *e)
+{
+ if (n == 3 && m == 19) {
+ e[0] = MAKE_FLOAT3( 0.0, 0.0, 0.0); // zero vel.
+ e[1] = MAKE_FLOAT3( 1.0, 0.0, 0.0); // face +x
+ e[2] = MAKE_FLOAT3(-1.0, 0.0, 0.0); // face -x
+ e[3] = MAKE_FLOAT3( 0.0, 1.0, 0.0); // face +y
+ e[4] = MAKE_FLOAT3( 0.0,-1.0, 0.0); // face -y
+ e[5] = MAKE_FLOAT3( 0.0, 0.0, 1.0); // face +z
+ e[6] = MAKE_FLOAT3( 0.0, 0.0,-1.0); // face -z
+ e[7] = MAKE_FLOAT3( 1.0, 1.0, 0.0); // edge +x,+y
+ e[8] = MAKE_FLOAT3(-1.0,-1.0, 0.0); // edge -x,-y
+ e[9] = MAKE_FLOAT3(-1.0, 1.0, 0.0); // edge -x,+y
+ e[10] = MAKE_FLOAT3( 1.0,-1.0, 0.0); // edge +x,-y
+ e[11] = MAKE_FLOAT3( 1.0, 0.0, 1.0); // edge +x,+z
+ e[12] = MAKE_FLOAT3(-1.0, 0.0,-1.0); // edge -x,-z
+ e[13] = MAKE_FLOAT3( 0.0, 1.0, 1.0); // edge +y,+z
+ e[14] = MAKE_FLOAT3( 0.0,-1.0,-1.0); // edge -y,-z
+ e[15] = MAKE_FLOAT3(-1.0, 0.0, 1.0); // edge -x,+z
+ e[16] = MAKE_FLOAT3( 1.0, 0.0,-1.0); // edge +x,-z
+ e[17] = MAKE_FLOAT3( 0.0,-1.0, 1.0); // edge -y,+z
+ e[18] = MAKE_FLOAT3( 0.0, 1.0,-1.0); // edge +y,-z
+ } else {
+ fprintf(stderr, "Error in set_e_values: m = %d != 19", m);
+ fprintf(stderr, ", n = %d != 3\n", n);
+ exit(1);
+ }
+}
+
+void init_fluid(Float* f, Float* rho, Float3* v)
+{
+ unsigned int x, y, z, i;
+ const Float rho_init = 1.0;
+
+ for (z=0; z<nz; z++) {
+ for (y=0; y<ny; y++) {
+ for (x=0; x<nx; x++) {
+ v[idx(x,y,z)].x = 0.0;
+ v[idx(x,y,z)].y = 0.0;
+ v[idx(x,y,z)].z = 0.0;
+ rho[idx(x,y,z)] = rho_init;
+ for (i=0; i<m; i++)
+ f[idxi(x,y,z,i)] = w(i) * rho_init;
+ }
+ }
+ }
+}
+
+// Equilibrium distribution along flow vector e
+Float feq(
+ Float rho,
+ Float w,
+ Float3 e,
+ Float3 u)
+{
+ Float c2 = dx/dt;
+ return rho*w * (1.0 + 3.0/c2*dot(e,u)
+ + 9.0/(2.0*c2*c2)*dot(e,u)*dot(e,u)
+ - 3.0/(2.0*c2)*dot(u,u)*dot(u,u));
+}
+
+// Bhatnagar-Gross-Kroop approximation collision operator
+Float bgk(
+ Float f,
+ Float tau,
+ Float rho,
+ Float w,
+ Float3 e,
+ Float3 u)
+{
+ // Without gravitational drag
+ //return f - (f - feq(rho, w, e, u))/tau;
+
+ // With gravitational drag
+ Float f_ext; // External force along e
+ Float m_f = dx*dx*dx*rho; // Fluid mass
+ Float3 f_g = {m_f*g.x, m_f*g.y, m_f*g.z}; // Gravitational force
+ f_ext = dot(f_g, e); // Drag force along e
+ return f - (f - feq(rho, w, e, u))/tau
+ + (2.0*tau - 1)/(2.0*tau)*3.0/w*f_ext;
+}
+
+// Cell fluid density
+Float find_rho(
+ Float* f,
+ unsigned int x,
+ unsigned int y,
+ unsigned int z)
+{
+ int i;
+ Float rho = 0.0;
+ for (i=0; i<m; i++)
+ rho += f[idxi(x,y,z,i)];
+ return rho;
+}
+
+// Cell fluid velocity
+Float3 find_v(
+ Float* f,
+ Float rho,
+ Float3* e,
+ unsigned int x,
+ unsigned int y,
+ unsigned int z)
+{
+ Float3 v = {0.0, 0.0, 0.0};
+ Float f_i;
+ unsigned int i;
+ for (i=0; i<m; i++) {
+ f_i = f[idxi(x,y,z,i)];
+ v.x += f_i*e[i].x/rho;
+ v.y += f_i*e[i].y/rho;
+ v.z += f_i*e[i].z/rho;
+ }
+ return v;
+}
+
+// Lattice-Boltzmann collision step.
+// Fluid distributions are modified towards the cell equilibrium.
+// Values are read from f, and written to f_new.
+void collide(
+ Float* f,
+ Float* rho,
+ Float3* v,
+ Float3* e)
+{
+ unsigned int x, y, z, i;
+ Float rho_new;
+ Float3 v_new;
+
+ // Parallelize this with OpenMP
+ // For each cell
+ for (z=0; z<nz; z++) {
+ for (y=0; y<ny; y++) {
+ for (x=0; x<nx; x++) {
+
+ // Calculate macroscopic parameters
+ rho_new = find_rho(f, x, y, z);
+ v_new = find_v(f, rho_new, e, x, y, z);
+
+ // Find new f values by fluid particle collision
+ for (i=0; i<m; i++) {
+ f[idxi(x,y,z,i)] =
+ bgk(f[idxi(x,y,z,i)], tau(), rho_new,
+ w(i), e[i], v_new);
+ }
+
+ // Store macroscopic parameters
+ rho[idx(x,y,z)] = rho_new;
+ v[idx(x,y,z)] = v_new;
+
+ }
+ }
+ }
+}
+
+// Lattice-Boltzmann streaming step.
+// Propagate fluid flows to cell neighbors.
+// Boundary condition: Bounce back
+void stream(Float* f, Float* f_new)
+{
+
+ unsigned int x, y, z;
+
+ // For each cell
+ for (z=0; z<nz; z++) {
+ for (y=0; y<ny; y++) {
+ for (x=0; x<nx; x++) {
+
+ // Face 0
+ f_new[idxi(x,y,z,0)] = fmax(0.0, f[idxi(x, y, z, 0)]);
+
+ // Face 1 (+x): Bounce back
+ if (x < nx-1)
+ f_new[idxi(x+1, y, z, 1)] = fmax(0.0, f[idxi(x, y, z, 1)]);
+ else
+ f_new[idxi( x, y, z, 2)] = fmax(0.0, f[idxi(x, y, z, 1)]);
+
+ // Face 2 (-x): Bounce back
+ if (x > 0)
+ f_new[idxi(x-1, y, z, 2)] = fmax(0.0, f[idxi(x, y, z, 2)]);
+ else
+ f_new[idxi( x, y, z, 1)] = fmax(0.0, f[idxi(x, y, z, 2)]);
+
+ // Face 3 (+y): Bounce back
+ if (y < ny-1)
+ f_new[idxi( x,y+1, z, 3)] = fmax(0.0, f[idxi(x, y, z, 3)]);
+ else
+ f_new[idxi( x, y, z, 4)] = fmax(0.0, f[idxi(x, y, z, 3)]);
+
+ // Face 4 (-y): Bounce back
+ if (y > 0)
+ f_new[idxi( x,y-1, z, 4)] = fmax(0.0, f[idxi(x, y, z, 4)]);
+ else
+ f_new[idxi( x, y, z, 3)] = fmax(0.0, f[idxi(x, y, z, 4)]);
+
+ // Face 5 (+z): Bounce back
+ if (z < nz-1)
+ f_new[idxi( x, y,z+1, 5)] = fmax(0.0, f[idxi(x, y, z, 5)]);
+ else
+ f_new[idxi( x, y, z, 6)] = fmax(0.0, f[idxi(x, y, z, 5)]);
+
+ // Face 6 (-z): Bounce back
+ if (z > 0)
+ f_new[idxi( x, y,z-1, 6)] = fmax(0.0, f[idxi(x, y, z, 6)]);
+ else
+ f_new[idxi( x, y, z, 5)] = fmax(0.0, f[idxi(x, y, z, 6)]);
+
+
+ // Edge 7 (+x,+y): Bounce back
+ if (x < nx-1 && y < ny-1)
+ f_new[idxi(x+1,y+1, z, 7)] = fmax(0.0, f[idxi(x, y, z, 7)]);
+ else if (x < nx-1)
+ f_new[idxi(x+1, y, z, 9)] = fmax(0.0, f[idxi(x, y, z, 7)]);
+ else if (y < ny-1)
+ f_new[idxi( x,y+1, z, 10)] = fmax(0.0, f[idxi(x, y, z, 7)]);
+ else
+ f_new[idxi( x, y, z, 8)] = fmax(0.0, f[idxi(x, y, z, 7)]);
+
+ // Edge 8 (-x,-y): Bounce back
+ if (x > 0 && y > 0)
+ f_new[idxi(x-1,y-1, z, 8)] = fmax(0.0, f[idxi(x, y, z, 8)]);
+ else if (x > 0)
+ f_new[idxi(x-1, y, z, 9)] = fmax(0.0, f[idxi(x, y, z, 8)]);
+ else if (y > 0)
+ f_new[idxi( x,y-1, z, 10)] = fmax(0.0, f[idxi(x, y, z, 8)]);
+ else
+ f_new[idxi( x, y, z, 7)] = fmax(0.0, f[idxi(x, y, z, 8)]);
+
+ // Edge 9 (-x,+y): Bounce back
+ if (x > 0 && y < ny-1)
+ f_new[idxi(x-1,y+1, z, 9)] = fmax(0.0, f[idxi(x, y, z, 9)]);
+ else if (x > 0)
+ f_new[idxi(x-1, y, z, 8)] = fmax(0.0, f[idxi(x, y, z, 9)]);
+ else if (y < ny-1)
+ f_new[idxi( x,y+1, z, 7)] = fmax(0.0, f[idxi(x, y, z, 9)]);
+ else
+ f_new[idxi( x, y, z, 10)] = fmax(0.0, f[idxi(x, y, z, 9)]);
+
+ // Edge 10 (+x,-y): Bounce back
+ if (x < nx-1 && y > 0)
+ f_new[idxi(x+1,y-1, z, 10)] = fmax(0.0, f[idxi(x, y, z, 10)]);
+ else if (x < nx-1)
+ f_new[idxi(x+1, y, z, 8)] = fmax(0.0, f[idxi(x, y, z, 10)]);
+ else if (y > 0)
+ f_new[idxi( x,y-1, z, 7)] = fmax(0.0, f[idxi(x, y, z, 10)]);
+ else
+ f_new[idxi( x, y, z, 9)] = fmax(0.0, f[idxi(x, y, z, 10)]);
+
+ // Edge 11 (+x,+z): Bounce back
+ if (x < nx-1 && z < nz-1)
+ f_new[idxi(x+1, y,z+1, 11)] = fmax(0.0, f[idxi(x, y, z, 11)]);
+ else if (x < nx-1)
+ f_new[idxi(x+1, y, z, 16)] = fmax(0.0, f[idxi(x, y, z, 11)]);
+ else if (z < nz-1)
+ f_new[idxi( x, y,z+1, 15)] = fmax(0.0, f[idxi(x, y, z, 11)]);
+ else
+ f_new[idxi( x, y, z, 12)] = fmax(0.0, f[idxi(x, y, z, 11)]);
+
+ // Edge 12 (-x,-z): Bounce back
+ if (x > 0 && z > 0)
+ f_new[idxi(x-1, y,z-1, 12)] = fmax(0.0, f[idxi(x, y, z, 12)]);
+ else if (x > 0)
+ f_new[idxi(x-1, y, z, 15)] = fmax(0.0, f[idxi(x, y, z, 12)]);
+ else if (z > 0)
+ f_new[idxi( x, y,z-1, 16)] = fmax(0.0, f[idxi(x, y, z, 12)]);
+ else
+ f_new[idxi( x, y, z, 11)] = fmax(0.0, f[idxi(x, y, z, 12)]);
+
+ // Edge 13 (+y,+z): Bounce back
+ if (y < ny-1 && z < nz-1)
+ f_new[idxi( x,y+1,z+1, 13)] = fmax(0.0, f[idxi(x, y, z, 13)]);
+ else if (y < ny-1)
+ f_new[idxi( x,y+1, z, 18)] = fmax(0.0, f[idxi(x, y, z, 13)]);
+ else if (z < nz-1)
+ f_new[idxi( x, y,z+1, 17)] = fmax(0.0, f[idxi(x, y, z, 13)]);
+ else
+ f_new[idxi( x, y, z, 14)] = fmax(0.0, f[idxi(x, y, z, 13)]);
+
+ // Edge 14 (-y,-z): Bounce back
+ if (y > 0 && z > 0)
+ f_new[idxi( x,y-1,z-1, 14)] = fmax(0.0, f[idxi(x, y, z, 14)]);
+ else if (y > 0)
+ f_new[idxi( x,y-1, z, 17)] = fmax(0.0, f[idxi(x, y, z, 14)]);
+ else if (z > 0)
+ f_new[idxi( x, y,z-1, 18)] = fmax(0.0, f[idxi(x, y, z, 14)]);
+ else
+ f_new[idxi( x, y, z, 13)] = fmax(0.0, f[idxi(x, y, z, 14)]);
+
+ // Edge 15 (-x,+z): Bounce back
+ if (x > 0 && z < nz-1)
+ f_new[idxi(x-1, y,z+1, 15)] = fmax(0.0, f[idxi(x, y, z, 15)]);
+ else if (x > 0)
+ f_new[idxi(x-1, y, z, 12)] = fmax(0.0, f[idxi(x, y, z, 15)]);
+ else if (z < nz-1)
+ f_new[idxi( x, y,z+1, 11)] = fmax(0.0, f[idxi(x, y, z, 15)]);
+ else
+ f_new[idxi( x, y, z, 16)] = fmax(0.0, f[idxi(x, y, z, 15)]);
+
+ // Edge 16 (+x,-z)
+ if (x < nx-1 && z > 0)
+ f_new[idxi(x+1, y,z-1, 16)] = fmax(0.0, f[idxi(x, y, z, 16)]);
+ else if (x < nx-1)
+ f_new[idxi(x+1, y, z, 11)] = fmax(0.0, f[idxi(x, y, z, 16)]);
+ else if (z > 0)
+ f_new[idxi( x, y,z-1, 12)] = fmax(0.0, f[idxi(x, y, z, 16)]);
+ else
+ f_new[idxi( x, y, z, 15)] = fmax(0.0, f[idxi(x, y, z, 16)]);
+
+ // Edge 17 (-y,+z)
+ if (y > 0 && z < nz-1)
+ f_new[idxi( x,y-1,z+1, 17)] = fmax(0.0, f[idxi(x, y, z, 17)]);
+ else if (y > 0)
+ f_new[idxi( x,y-1, z, 14)] = fmax(0.0, f[idxi(x, y, z, 17)]);
+ else if (z < nz-1)
+ f_new[idxi( x, y,z+1, 13)] = fmax(0.0, f[idxi(x, y, z, 17)]);
+ else
+ f_new[idxi( x, y, z, 18)] = fmax(0.0, f[idxi(x, y, z, 17)]);
+
+ // Edge 18 (+y,-z)
+ if (y < ny-1 && z > 0)
+ f_new[idxi( x,y+1,z-1, 18)] = fmax(0.0, f[idxi(x, y, z, 18)]);
+ else if (y < ny-1)
+ f_new[idxi( x,y+1, z, 13)] = fmax(0.0, f[idxi(x, y, z, 18)]);
+ else if (z > 0)
+ f_new[idxi( x, y,z-1, 14)] = fmax(0.0, f[idxi(x, y, z, 18)]);
+ else
+ f_new[idxi( x, y, z, 17)] = fmax(0.0, f[idxi(x, y, z, 18)]);
+
+ }
+ }
+ }
+}
+
+// Swap Float pointers
+void swapFloats(Float* a, Float* b)
+{
+ Float* tmp = a;
+ a = b;
+ b = tmp;
+}
+
+// Print density values to file stream (stdout, stderr, other file)
+void print_rho(Float* rho, FILE* stream)
+{
+ unsigned int x, y, z;
+ for (z=0; z<nz; z++) {
+ for (y=0; y<ny; y++) {
+ for (x=0; x<nx; x++) {
+ fprintf(stream, "%f\t", rho[idx(x,y,z)]);
+ }
+ fprintf(stream, "\n");
+ }
+ fprintf(stream, "\n");
+ }
+}
+
+// Print velocity values to file stream (stdout, stderr, other file)
+void print_v(Float3* v, FILE* stream)
+{
+ unsigned int x, y, z;
+ for (z=0; z<nz; z++) {
+ for (y=0; y<ny; y++) {
+ for (x=0; x<nx; x++) {
+ fprintf(stream, "%.1ex%.1ex%.1e\t",
+ v[idx(x,y,z)].x,
+ v[idx(x,y,z)].y,
+ v[idx(x,y,z)].z);
+ }
+ fprintf(stream, "\n");
+ }
+ fprintf(stream, "\n");
+ }
+}
+
+
+int main(int argc, char** argv)
+{
+ //printf("### Lattice-Boltzman D%dQ%d test ###\n", n, m);
+
+
+ // Print parameter vals
+ //printf("Grid dims: nx = %d, ny = %d, nz = %d: %d cells\n",
+ //nx, ny, nz, ncells);
+
+ // Set cell flow vector values
+ Float3 e[m]; set_e_values(e);
+
+ // Particle distributions
+ unsigned int ncells = nx*ny*nz;
+ Float* f = malloc(ncells*m*sizeof(Float));
+ Float* f_new = malloc(ncells*m*sizeof(Float));
+
+ // Cell densities
+ Float* rho = malloc(ncells*sizeof(Float));
+
+ // Cell flow velocities
+ Float3* v = malloc(ncells*sizeof(Float3));
+
+ init_fluid(f, rho, v);
+
+
+ double t;
+ for (t = 0.0; t < t_end; t += dt) {
+ collide(f, rho, v, e);
+ stream(f, f_new);
+ swapFloats(f, f_new);
+ }
+
+ fprintf(stdout, "rho\n");
+ print_rho(rho, stdout);
+
+ fprintf(stdout, "v\n");
+ print_v(v, stdout);
+
+ free(f);
+ free(f_new);
+ free(rho);
+ free(v);
+
+ return 0;
+}
