permlib
0.2.6
Library for permutation computations
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00001 // --------------------------------------------------------------------------- 00002 // 00003 // This file is part of PermLib. 00004 // 00005 // Copyright (c) 2009-2011 Thomas Rehn <thomas@carmen76.de> 00006 // All rights reserved. 00007 // 00008 // Redistribution and use in source and binary forms, with or without 00009 // modification, are permitted provided that the following conditions 00010 // are met: 00011 // 1. Redistributions of source code must retain the above copyright 00012 // notice, this list of conditions and the following disclaimer. 00013 // 2. Redistributions in binary form must reproduce the above copyright 00014 // notice, this list of conditions and the following disclaimer in the 00015 // documentation and/or other materials provided with the distribution. 00016 // 3. The name of the author may not be used to endorse or promote products 00017 // derived from this software without specific prior written permission. 00018 // 00019 // THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 00020 // IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 00021 // OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 00022 // IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 00023 // INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 00024 // NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 00025 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 00026 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 00027 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 00028 // THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00029 // 00030 // --------------------------------------------------------------------------- 00031 00032 00033 #ifndef CYCLIC_GROUP_CONSTRUCTION_H_ 00034 #define CYCLIC_GROUP_CONSTRUCTION_H_ 00035 00036 #include <permlib/construct/known_bsgs_construction.h> 00037 00038 namespace permlib { 00039 00041 template <class TRANS> 00042 class CyclicGroupConstruction : public KnownBSGSConstruction<typename TRANS::PERMtype, TRANS> { 00043 public: 00045 00048 CyclicGroupConstruction(unsigned int n); 00049 00051 BSGS<typename TRANS::PERMtype, TRANS> construct() const; 00052 }; 00053 00054 // 00055 // ---- IMPLEMENTATION 00056 // 00057 00058 template <class TRANS> 00059 CyclicGroupConstruction<TRANS>::CyclicGroupConstruction(unsigned int n) 00060 : KnownBSGSConstruction<typename TRANS::PERMtype, TRANS>(n) 00061 { } 00062 00063 00064 template <class TRANS> 00065 BSGS<typename TRANS::PERMtype, TRANS> CyclicGroupConstruction<TRANS> 00066 ::construct() const 00067 { 00068 typedef typename TRANS::PERMtype PERM; 00069 const unsigned int &n = this->m_n; 00070 typename PERM::perm genPerm(n); 00071 for (unsigned int i = 0; i < n; ++i) 00072 genPerm[i] = (i + 1) % n; 00073 std::list<typename PERM::ptr> cyclicGenerators; 00074 cyclicGenerators.push_back(typename PERM::ptr(new PERM(genPerm))); 00075 const dom_int knownBase[1] = { 0 }; 00076 00077 return KnownBSGSConstruction<PERM, TRANS>::construct(cyclicGenerators.begin(), cyclicGenerators.end(), knownBase, knownBase + 1); 00078 } 00079 00080 } 00081 00082 #endif // -- KNOWNBSGSCONSTRUCTION_H_