lemon/lp_utils.h
changeset 2342 4dd3eb348641
child 2363 2aabce558574
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     1 /* -*- C++ -*-
       
     2  *
       
     3  * This file is a part of LEMON, a generic C++ optimization library
       
     4  *
       
     5  * Copyright (C) 2003-2006
       
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
       
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
       
     8  *
       
     9  * Permission to use, modify and distribute this software is granted
       
    10  * provided that this copyright notice appears in all copies. For
       
    11  * precise terms see the accompanying LICENSE file.
       
    12  *
       
    13  * This software is provided "AS IS" with no warranty of any kind,
       
    14  * express or implied, and with no claim as to its suitability for any
       
    15  * purpose.
       
    16  *
       
    17  */
       
    18 
       
    19 #ifndef LEMON_LP_UTILS_H
       
    20 #define LEMON_LP_UTILS_H
       
    21 
       
    22 #include <lemon/lp_base.h>
       
    23 
       
    24 #include <lemon/lemon_reader.h>
       
    25 
       
    26 namespace lemon {
       
    27 
       
    28   class LpReader : public LemonReader::SectionReader {
       
    29     typedef LemonReader::SectionReader Parent;
       
    30   public:
       
    31 
       
    32 
       
    33     /// \brief Constructor.
       
    34     ///
       
    35     /// Constructor for LpReader. It creates the LpReader and attach
       
    36     /// it into the given LemonReader. The lp reader will add
       
    37     /// variables, constraints and objective function to the
       
    38     /// given lp solver.
       
    39     LpReader(LemonReader& _reader, LpSolverBase& _lp, 
       
    40              const std::string& _name = std::string())
       
    41       : Parent(_reader), lp(_lp), name(_name) {} 
       
    42 
       
    43 
       
    44     /// \brief Destructor.
       
    45     ///
       
    46     /// Destructor for NodeSetReader.
       
    47     virtual ~LpReader() {}
       
    48 
       
    49   private:
       
    50     LpReader(const LpReader&);
       
    51     void operator=(const LpReader&);
       
    52   
       
    53   protected:
       
    54 
       
    55     /// \brief Gives back true when the SectionReader can process 
       
    56     /// the section with the given header line.
       
    57     ///
       
    58     /// It gives back true when the header line starts with \c \@lp,
       
    59     /// and the header line's name and the nodeset's name are the same.
       
    60     virtual bool header(const std::string& line) {
       
    61       std::istringstream ls(line);
       
    62       std::string command;
       
    63       std::string id;
       
    64       ls >> command >> id;
       
    65       return command == "@lp" && name == id;
       
    66     }
       
    67 
       
    68   private:
       
    69 
       
    70     enum Relation {
       
    71       LE, EQ, GE
       
    72     };
       
    73 
       
    74     std::istream& readConstraint(std::istream& is, LpSolverBase::Constr& c) {
       
    75       char x;
       
    76       LpSolverBase::Expr e1, e2;
       
    77       Relation op1;
       
    78       is >> std::ws;
       
    79       readExpression(is, e1);
       
    80       is >> std::ws;
       
    81       readRelation(is, op1);
       
    82       is >> std::ws;
       
    83       readExpression(is, e2);
       
    84       if (!is.get(x)) {
       
    85         if (op1 == LE) {
       
    86           c = e1 <= e2;
       
    87         } else if (op1 == GE) {
       
    88           c = e1 >= e2;
       
    89         } else {
       
    90           c = e1 == e2;
       
    91         }
       
    92       } else {
       
    93         is.putback(x);
       
    94         LpSolverBase::Expr e3;
       
    95         Relation op2;
       
    96         readRelation(is, op2);
       
    97         is >> std::ws;
       
    98         readExpression(is, e3);
       
    99         if (!e1.empty() || !e3.empty()) {
       
   100           throw DataFormatError("Wrong range format");
       
   101         }
       
   102         if (op2 != op1 || op1 == EQ) {
       
   103           throw DataFormatError("Wrong range format");
       
   104         }
       
   105         if (op1 == LE) {
       
   106           c = e1.constComp() <= e2 <= e3.constComp();
       
   107         } else {
       
   108           c = e1.constComp() >= e2 >= e3.constComp();
       
   109         }
       
   110       }
       
   111     }
       
   112 
       
   113     std::istream& readExpression(std::istream& is, LpSolverBase::Expr& e) {
       
   114       LpSolverBase::Col c;
       
   115       double d;
       
   116       char x;
       
   117       readElement(is, c, d);
       
   118       if (c != INVALID) {
       
   119         e += d * c;
       
   120       } else {
       
   121         e += d;
       
   122       }
       
   123       is >> std::ws;
       
   124       while (is.get(x) && (x == '+' || x == '-')) {
       
   125         is >> std::ws;
       
   126         readElement(is, c, d);
       
   127         if (c != INVALID) {
       
   128           e += (x == '+' ? d : -d) * c;
       
   129         } else {
       
   130           e += (x == '+' ? d : -d);
       
   131         }
       
   132         is >> std::ws;
       
   133       }
       
   134       if (!is) {
       
   135         is.clear();
       
   136       } else {
       
   137         is.putback(x);
       
   138       }
       
   139       return is;
       
   140     }
       
   141 
       
   142     std::istream& readElement(std::istream& is, 
       
   143                               LpSolverBase::Col& c, double& d) { 
       
   144       d = 1.0;
       
   145       c = INVALID;
       
   146       char x, y;
       
   147       if (!is.get(x)) throw DataFormatError("Cannot find lp element");
       
   148       if (x == '+' || x == '-') {
       
   149         is >> std::ws;
       
   150         d *= x == '-' ? -1 : 1;
       
   151         while (is.get(x) && (x == '+' || x == '-')) {
       
   152           d *= x == '-' ? -1 : 1;
       
   153           is >> std::ws;
       
   154         }
       
   155         if (!is) throw DataFormatError("Cannot find lp element");
       
   156       }
       
   157       if (numFirstChar(x)) {
       
   158         is.putback(x);
       
   159         double e;
       
   160         readNum(is, e);
       
   161         d *= e;
       
   162       } else if (varFirstChar(x)) {
       
   163         is.putback(x);
       
   164         LpSolverBase::Col f;
       
   165         readCol(is, f);
       
   166         c = f;
       
   167       } else {
       
   168         throw DataFormatError("Invalid expression format");          
       
   169       }
       
   170       is >> std::ws;
       
   171       while (is.get(y) && (y == '*' || y == '/')) {
       
   172         is >> std::ws;
       
   173         if (!is.get(x)) throw DataFormatError("Cannot find lp element");
       
   174         if (x == '+' || x == '-') {
       
   175           is >> std::ws;
       
   176           d *= x == '-' ? -1 : 1;
       
   177           while (is.get(x) && (x == '+' || x == '-')) {
       
   178             d *= x == '-' ? -1 : 1;
       
   179             is >> std::ws;
       
   180           }
       
   181           if (!is) throw DataFormatError("Cannot find lp element");
       
   182         }
       
   183         if (numFirstChar(x)) {
       
   184           is.putback(x);
       
   185           double e;
       
   186           readNum(is, e);
       
   187           if (y == '*') {
       
   188             d *= e;
       
   189           } else {
       
   190             d /= e;
       
   191           }
       
   192         } else if (varFirstChar(x)) {
       
   193           is.putback(x);
       
   194           LpSolverBase::Col f;
       
   195           readCol(is, f);
       
   196           if (y == '*') {
       
   197             if (c == INVALID) {
       
   198               c = f;
       
   199             } else {
       
   200               throw DataFormatError("Quadratic element in expression");
       
   201             }
       
   202           } else {
       
   203             throw DataFormatError("Division by variable");
       
   204           }
       
   205         } else {
       
   206           throw DataFormatError("Invalid expression format");          
       
   207         }
       
   208         is >> std::ws;
       
   209       }
       
   210       if (!is) {
       
   211         is.clear();
       
   212       } else {
       
   213         is.putback(y);
       
   214       }
       
   215       return is;
       
   216     }
       
   217 
       
   218     std::istream& readCol(std::istream& is, LpSolverBase::Col& c) {
       
   219       char x;
       
   220       std::string var;
       
   221       while (is.get(x) && varChar(x)) {
       
   222         var += x;
       
   223       }
       
   224       if (!is) {
       
   225         is.clear();
       
   226       } else {
       
   227         is.putback(x);
       
   228       }
       
   229       ColMap::const_iterator it = cols.find(var);
       
   230       if (cols.find(var) != cols.end()) {
       
   231         c = it->second;
       
   232       } else {
       
   233         c = lp.addCol();
       
   234         cols.insert(std::make_pair(var, c));
       
   235         lp.colName(c, var);
       
   236       }
       
   237       return is;
       
   238     }
       
   239 
       
   240     std::istream& readNum(std::istream& is, double& d) {
       
   241       is >> d;
       
   242       if (!is) throw DataFormatError("Wrong number format");
       
   243       return is;
       
   244     }
       
   245 
       
   246     std::istream& readRelation(std::istream& is, Relation& op) {
       
   247       char x, y;
       
   248       if (!is.get(x) || !(x == '<' || x == '=' || x == '>')) {
       
   249         throw DataFormatError("Wrong relation operator");
       
   250       }
       
   251       if (!is.get(y) || y != '=') {
       
   252         throw DataFormatError("Wrong relation operator");
       
   253       }
       
   254       switch (x) {
       
   255       case '<': op = LE; 
       
   256         break;
       
   257       case '=': op = EQ; 
       
   258         break;
       
   259       case '>': op = GE; 
       
   260         break;
       
   261       }
       
   262       return is;
       
   263     }
       
   264 
       
   265     static bool relationFirstChar(char c) {
       
   266       return c == '<' || c == '=' || c == '>';
       
   267     }
       
   268 
       
   269     static bool varFirstChar(char c) {
       
   270       return (c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z');
       
   271     }
       
   272 
       
   273     static bool numFirstChar(char c) {
       
   274       return (c >= '0' && c <= '9') || c == '.';
       
   275     }
       
   276 
       
   277     static bool varChar(char c) {
       
   278       return (c >= '0' && c <= '9') || 
       
   279         (c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z');
       
   280     }
       
   281 
       
   282 
       
   283     void addConstraint(const LpSolverBase::Constr& constr) {
       
   284       if (constr.expr().size() != 1) {
       
   285         lp.addRow(constr);
       
   286       } else {
       
   287         Lp::Expr e = constr.expr();
       
   288         LpSolverBase::Col col = e.begin()->first;
       
   289         double coeff = e.begin()->second;
       
   290         double lb = LpSolverBase::NaN;
       
   291         double ub = LpSolverBase::NaN;
       
   292         if (coeff > 0) {
       
   293           if (constr.upperBounded()) {
       
   294             lb = (constr.lowerBound() - e.constComp()) / coeff;
       
   295           }
       
   296           if (constr.lowerBounded()) {
       
   297             ub = (constr.upperBound() - e.constComp()) / coeff;
       
   298           }
       
   299         } else if (coeff < 0) {
       
   300           if (constr.upperBounded()) {
       
   301             lb = (constr.upperBound() - e.constComp()) / coeff;
       
   302           }
       
   303           if (constr.lowerBounded()) {
       
   304             ub = (constr.lowerBound() - e.constComp()) / coeff;
       
   305           }
       
   306         } else {
       
   307           lb = -LpSolverBase::INF;
       
   308           ub = LpSolverBase::INF;
       
   309         }
       
   310         lp.colLowerBound(col, lb);
       
   311         lp.colUpperBound(col, ub);
       
   312       }
       
   313     }
       
   314     
       
   315   protected:
       
   316 
       
   317     /// \brief Reader function of the section.
       
   318     ///
       
   319     /// It reads the content of the section.
       
   320     virtual void read(std::istream& is) {
       
   321       std::string line;
       
   322       std::map<std::string, LpSolverBase::Col> vars;
       
   323       while (getline(is, line)) {
       
   324         std::istringstream ls(line);
       
   325         std::string sense;
       
   326         ls >> sense;
       
   327         if (sense == "min" || sense == "max") {
       
   328           LpSolverBase::Expr expr;
       
   329           ls >> std::ws;
       
   330           readExpression(ls, expr);
       
   331           lp.setObj(expr);
       
   332           if (sense == "min") {
       
   333             lp.min();
       
   334           } else {
       
   335             lp.max();
       
   336           }
       
   337         } else {
       
   338           ls.str(line);
       
   339           LpSolverBase::Constr constr;
       
   340           ls >> std::ws;
       
   341           readConstraint(ls, constr);
       
   342           addConstraint(constr);
       
   343         }        
       
   344       }
       
   345     }
       
   346       
       
   347     virtual void missing() {
       
   348       ErrorMessage msg;
       
   349       msg << "Lp section not found in file: @lp " << name;
       
   350       throw IoParameterError(msg.message());
       
   351     }
       
   352 
       
   353   private:
       
   354 
       
   355     typedef std::map<std::string, LpSolverBase::Col> ColMap;
       
   356       
       
   357     LpSolverBase& lp;
       
   358     std::string name;
       
   359     ColMap cols;
       
   360   };
       
   361 
       
   362 }
       
   363 
       
   364 #endif