permlib
0.2.9
Library for permutation computations
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include
permlib
generator
product_replacement_generator.h
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// ---------------------------------------------------------------------------
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//
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// This file is part of PermLib.
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//
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// Copyright (c) 2009-2011 Thomas Rehn <thomas@carmen76.de>
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// All rights reserved.
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions
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// are met:
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// 1. Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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// 2. Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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// 3. The name of the author may not be used to endorse or promote products
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// derived from this software without specific prior written permission.
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//
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// THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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// IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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// OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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// IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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// NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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// THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// ---------------------------------------------------------------------------
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#ifndef PRODUCTREPLACEMENTGENERATOR_H
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#define PRODUCTREPLACEMENTGENERATOR_H
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#include <permlib/generator/random_generator.h>
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#include <vector>
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#include <boost/iterator/indirect_iterator.hpp>
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namespace
permlib {
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template
<
class
PERM>
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class
ProductReplacementGenerator
:
public
RandomGenerator
<PERM> {
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public
:
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template
<
class
InputIterator>
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ProductReplacementGenerator
(
const
unsigned
int
n, InputIterator generatorsBegin, InputIterator generatorsEnd);
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virtual
PERM
next
();
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private
:
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std::vector<PERM> m_generators;
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const
unsigned
int
m_n;
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};
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//
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// ---- IMPLEMENTATION
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//
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template
<
class
PERM>
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template
<
class
InputIterator>
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ProductReplacementGenerator<PERM>::ProductReplacementGenerator
(
const
unsigned
int
n, InputIterator generatorsBegin, InputIterator generatorsEnd)
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: m_generators(boost::indirect_iterator<InputIterator,
PERM
>(generatorsBegin),
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boost::indirect_iterator<InputIterator,
PERM
>(generatorsEnd)),
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m_n(n)
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{
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const
unsigned
int
additionalElements = 10;
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const
unsigned
int
oldSize = m_generators.size();
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const
unsigned
int
replacementRounds = std::max(oldSize * 10,
static_cast<
unsigned
int
>
(100));
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if
(oldSize == 0)
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return
;
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m_generators.reserve(oldSize + additionalElements + 1);
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for
(
unsigned
int
i = 0; i < additionalElements; ++i) {
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m_generators.push_back(m_generators[randomInt(oldSize)]);
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}
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m_generators.push_back(
PERM
(m_generators[0].size()));
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for
(
unsigned
int
k = 0; k < replacementRounds; ++k) {
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next
();
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}
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}
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template
<
class
PERM>
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PERM
ProductReplacementGenerator<PERM>::next
() {
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if
(m_generators.size() == 0) {
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return
PERM
(m_n);
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}
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unsigned
int
i = randomInt(m_generators.size() - 1);
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unsigned
int
j = randomInt(m_generators.size() - 2);
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if
(j >= i) ++j;
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switch
(randomInt(4)) {
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case
0:
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m_generators[i] *= m_generators[j];
break
;
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case
1:
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m_generators[i] *= ~m_generators[j];
break
;
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case
2:
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m_generators[i] ^= m_generators[j];
break
;
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case
3:
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m_generators[i] ^= ~m_generators[j];
break
;
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}
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m_generators[m_generators.size()-1] *= m_generators[i];
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return
m_generators[m_generators.size()-1];
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}
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}
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#endif
// -- PRODUCTREPLACEMENTGENERATOR_H
permlib::PERM
permlib::ProductReplacementGenerator::next
virtual PERM next()
generates an element
Definition
product_replacement_generator.h:90
permlib::ProductReplacementGenerator::ProductReplacementGenerator
ProductReplacementGenerator(const unsigned int n, InputIterator generatorsBegin, InputIterator generatorsEnd)
initializes class with group generators
Definition
product_replacement_generator.h:67
permlib::RandomGenerator
abstract base class for random group element generators
Definition
random_generator.h:42
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