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master
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gecode
/
examples
/
sat.cpp
gecode
/
examples
/
sat.cpp
sat.cpp 6.98 KB
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Christian Schulte 提交于 2018年03月22日 18:28 +08:00 . Remove svn-specific last modified info
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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
* Main authors:
* Raphael Reischuk <reischuk@cs.uni-sb.de>
* Guido Tack <tack@gecode.org>
*
* Copyright:
* Raphael Reischuk, 2008
* Guido Tack, 2008
*
* This file is part of Gecode, the generic constraint
* development environment:
* http://www.gecode.org
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*
*/
#include <gecode/driver.hh>
#include <gecode/int.hh>
#include <fstream>
#include <string>
#include <vector>
using namespace Gecode;
/** \brief Options for %SAT problems
*
* \relates SAT
*/
class SatOptions : public Options {
public:
/// Name of the DIMACS file to parse
std::string filename;
/// Initialize options with file name \a s
SatOptions(const char* s)
: Options(s) {}
/// Parse options from arguments \a argv (number is \a argc)
void parse(int& argc, char* argv[]) {
// Parse regular options
Options::parse(argc,argv);
// Filename, should be at position 1
if (argc == 1) {
help();
exit(1);
}
filename = argv[1];
argc--;
}
/// Print help message
virtual void help(void) {
Options::help();
std::cerr << "\t(string) " << std::endl
<< "\t\tdimacs file to parse (.cnf)" << std::endl;
}
};
/**
* \brief %Example: CNF SAT solver
*
* SAT finds assignments of Boolean variables such
* that a set of clauses is satisfied or shows that
* no such assignment exists.
*
* This example parses a dimacs CNF file in which
* the constraints are specified. For each line of
* the file a clause propagator is posted.
*
* Format of dimacs CNF files:
*
* A dimacs file starts with comments (each line
* starts with c). The number of variables and the
* number of clauses is defined by the line
*
* p cnf \<variables\> \<clauses\>
*
* Each of the subsequent lines specifies a clause.
* A positive literal is denoted by a positive
* integer, a negative literal is denoted by the
* corresponding negative integer. Each line is
* terminated by 0.
*
* c sample CNF file
* p cnf 3 2
* 3 -1 0
* 1 2 -1 0
*
* Benchmarks on satlib.org, for instance,
* are in the dimacs CNF format.
*
* \ingroup Example
*/
class Sat : public Script {
private:
/// The Boolean variables
BoolVarArray x;
public:
/// The actual problem
Sat(const SatOptions& opt)
: Script(opt) {
parseDIMACS(opt.filename.c_str());
branch(*this, x, BOOL_VAR_AFC_MAX(), BOOL_VAL_MIN());
}
/// Constructor for cloning
Sat(Sat& s) : Script(s) {
x.update(*this, s.x);
}
/// Perform copying during cloning
virtual Space*
copy(void) {
return new Sat(*this);
}
/// Print solution
virtual void
print(std::ostream& os) const {
os << "solution:\n" << x << std::endl;
}
/// Post constraints according to DIMACS file \a f
void parseDIMACS(const char* f) {
int variables = 0;
int clauses = 0;
std::ifstream dimacs(f);
if (!dimacs) {
std::cerr << "error: file '" << f << "' not found" << std::endl;
exit(1);
}
std::cout << "Solving problem from DIMACS file '" << f << "'"
<< std::endl;
std::string line;
int c = 0;
while (dimacs.good()) {
std::getline(dimacs,line);
// Comments (ignore them)
if (line[0] == 'c' || line == "") {
}
// Line has format "p cnf <variables> <clauses>"
else if (variables == 0 && clauses == 0 &&
line[0] == 'p' && line[1] == ' ' &&
line[2] == 'c' && line[3] == 'n' &&
line[4] == 'f' && line[5] == ' ') {
int i = 6;
while (line[i] >= '0' && line[i] <= '9') {
variables = 10*variables + line[i] - '0';
i++;
}
i++;
while (line[i] >= '0' && line[i] <= '9') {
clauses = 10*clauses + line[i] - '0';
i++;
}
std::cout << "(" << variables << " variables, "
<< clauses << " clauses)" << std::endl << std::endl;
// Add variables to array
x = BoolVarArray(*this, variables, 0, 1);
}
// Parse regular clause
else if (variables > 0 &&
((line[0] >= '0' && line[0] <= '9') || line[0] == '-' || line[0] == ' ')) {
c++;
std::vector<int> pos;
std::vector<int> neg;
int i = 0;
while (line[i] != 0) {
if (line[i] == ' ') {
i++;
continue;
}
bool positive = true;
if (line[i] == '-') {
positive = false;
i++;
}
int value = 0;
while (line[i] >= '0' && line[i] <= '9') {
value = 10 * value + line[i] - '0';
i++;
}
if (value != 0) {
if (positive)
pos.push_back(value-1);
else
neg.push_back(value-1);
i++;
}
}
// Create positive BoolVarArgs
BoolVarArgs positives(pos.size());
for (int i=pos.size(); i--;)
positives[i] = x[pos[i]];
BoolVarArgs negatives(neg.size());
for (int i=neg.size(); i--;)
negatives[i] = x[neg[i]];
// Post propagators
clause(*this, BOT_OR, positives, negatives, 1);
}
else {
std::cerr << "format error in dimacs file" << std::endl;
std::cerr << "context: '" << line << "'" << std::endl;
std::exit(EXIT_FAILURE);
}
}
dimacs.close();
if (clauses != c) {
std::cerr << "error: number of specified clauses seems to be wrong."
<< std::endl;
std::exit(EXIT_FAILURE);
}
}
};
/** \brief Main-function
* \relates SAT
*/
int main(int argc, char* argv[]) {
SatOptions opt("SAT");
opt.parse(argc,argv);
// Check whether all arguments are successfully parsed
if (argc > 1) {
std::cerr << "Could not parse all arguments." << std::endl;
opt.help();
std::exit(EXIT_FAILURE);
}
// Run SAT solver
Script::run<Sat,DFS,SatOptions>(opt);
return 0;
}
// STATISTICS: example-any
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简介

构建约束满足问题(Constraint Satisfaction Problems, CSP)。核心是约束求解器,包括回溯搜索、约束传播和启发式搜索等 调度问题:如任务调度、课程安排等。 组合优化问题:如背包问题、旅行商问题(TSP)等。 资源分配问题:如分配机器到任务、人员到项目等。 逻辑推理问题:如逻辑谜题、数独等. Gecode 的通用性和高性能使其在学术研究和工业应用中都有广泛的应用
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