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| 1 | +Polyquad |
| 2 | +======== |
| 3 | + |
| 4 | +About |
| 5 | +----- |
| 6 | + |
| 7 | +Polyquad is an open-source C++11 application for finding symmetric |
| 8 | +quadrature rules suitable for use with the finite element method. |
| 9 | +Both the target strength of the quadrature and the number of points |
| 10 | +are configurable. Polyquad is parallelised using MPI and can refine |
| 11 | +rules to an arbitrary degree of numerical precision. |
| 12 | + |
| 13 | +Authors |
| 14 | +------- |
| 15 | + |
| 16 | +See the AUTHORS file. |
| 17 | + |
| 18 | +License |
| 19 | +------- |
| 20 | + |
| 21 | +Polyquad is release under the GNU GPL v3.0 license. Please see |
| 22 | +COPYING for further details. |
| 23 | + |
| 24 | +Dependencies |
| 25 | +------------ |
| 26 | + |
| 27 | +In order to build polyquad it is necessary to have first installed: |
| 28 | + |
| 29 | + - [CMake](http://www.cmake.org/) 2.8; |
| 30 | + - [Eigen](http://eigen.tuxfamily.org/), preferably the current head |
| 31 | + revision; |
| 32 | + - [Boost](http://www.boost.org/), specifically |
| 33 | + - chrono |
| 34 | + - mpi (optional) |
| 35 | + - program_options |
| 36 | + - serialization |
| 37 | + - system |
| 38 | + - [MPFR](http://www.mpfr.org/) (optional) |
| 39 | + - [MPFR C++](http://www.holoborodko.com/pavel/mpfr/) (optional) |
| 40 | + |
| 41 | +If Boost MPI and a suitable compiler are found then polyquad will be |
| 42 | +able to run on clusters. Similarly, if the MPFR and the corresponding |
| 43 | +C++ wrapper are available then support for refining rules to arbitrary |
| 44 | +precision will be enabled. As polyquad makes use of advanced template |
| 45 | +metaprogramming features it is important to build it using a compiler |
| 46 | +that supports the C++11 standard. As of the time of writing the |
| 47 | +following compilers are known to have successfully built polyquad: |
| 48 | + |
| 49 | + - GCC 4.7, 4.8, and 4.9; |
| 50 | + - Clang 3.4; |
| 51 | + - ICC 14. |
| 52 | + |
| 53 | +Building polyquad can require in excess of four gigabytes of main |
| 54 | +memory and several minutes of CPU time. |
| 55 | + |
| 56 | +Building polyquad |
| 57 | +----------------- |
| 58 | + |
| 59 | +After cloning the repository polyquad can be built by issuing the |
| 60 | +following commands: |
| 61 | + |
| 62 | + $ mkdir build |
| 63 | + $ cd build |
| 64 | + $ cmake -G"Unix Makefiles" ../ |
| 65 | + $ make |
| 66 | + |
| 67 | +for further information please consult the CMake documentation and the |
| 68 | +CMakeLists.txt file. |
| 69 | + |
| 70 | +Running polyquad |
| 71 | +---------------- |
| 72 | + |
| 73 | +Usage instructions can be obtained by running: |
| 74 | + |
| 75 | + $ ./polyquad --help |
| 76 | + |
| 77 | +a simple example we consider wsing polyquad to search for strength 5 |
| 78 | +rules inside of a tetrahedron using 15 points: |
| 79 | + |
| 80 | + $ ./polyquad find -s tet -q5 -n15 -V -p > rules.txt |
| 81 | + |
| 82 | +where -V enables verbose output and -p requires all rules to have |
| 83 | +positive weights. We can then convert the rules from the internal |
| 84 | +representation used by polyquad to a standard tabular format by |
| 85 | +issuing: |
| 86 | + |
| 87 | + $ ./polyquad expand -s tet -q5 < rules.txt > rules-tab.txt |
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