test/lp_test.cc
author Alpar Juttner <alpar@cs.elte.hu>
Mon, 23 Feb 2009 11:49:57 +0000
changeset 526 28b154307c0d
parent 461 08d495d48089
child 537 0fec6a017ead
child 540 9db62975c32b
permissions -rw-r--r--
DIMACS solver utility (#226)
deba@458
     1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
deba@458
     2
 *
deba@458
     3
 * This file is a part of LEMON, a generic C++ optimization library.
deba@458
     4
 *
deba@458
     5
 * Copyright (C) 2003-2008
deba@458
     6
 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
deba@458
     7
 * (Egervary Research Group on Combinatorial Optimization, EGRES).
deba@458
     8
 *
deba@458
     9
 * Permission to use, modify and distribute this software is granted
deba@458
    10
 * provided that this copyright notice appears in all copies. For
deba@458
    11
 * precise terms see the accompanying LICENSE file.
deba@458
    12
 *
deba@458
    13
 * This software is provided "AS IS" with no warranty of any kind,
deba@458
    14
 * express or implied, and with no claim as to its suitability for any
deba@458
    15
 * purpose.
deba@458
    16
 *
deba@458
    17
 */
deba@458
    18
deba@458
    19
#include <sstream>
deba@458
    20
#include <lemon/lp_skeleton.h>
deba@458
    21
#include "test_tools.h"
deba@458
    22
#include <lemon/tolerance.h>
deba@458
    23
deba@458
    24
#ifdef HAVE_CONFIG_H
deba@458
    25
#include <lemon/config.h>
deba@458
    26
#endif
deba@458
    27
deba@458
    28
#ifdef HAVE_GLPK
alpar@461
    29
#include <lemon/glpk.h>
deba@458
    30
#endif
deba@458
    31
deba@458
    32
#ifdef HAVE_CPLEX
alpar@461
    33
#include <lemon/cplex.h>
deba@458
    34
#endif
deba@458
    35
deba@458
    36
#ifdef HAVE_SOPLEX
alpar@461
    37
#include <lemon/soplex.h>
deba@458
    38
#endif
deba@458
    39
deba@459
    40
#ifdef HAVE_CLP
alpar@461
    41
#include <lemon/clp.h>
deba@459
    42
#endif
deba@459
    43
deba@458
    44
using namespace lemon;
deba@458
    45
deba@459
    46
void lpTest(LpSolver& lp)
deba@458
    47
{
deba@458
    48
deba@459
    49
  typedef LpSolver LP;
deba@458
    50
deba@458
    51
  std::vector<LP::Col> x(10);
deba@458
    52
  //  for(int i=0;i<10;i++) x.push_back(lp.addCol());
deba@458
    53
  lp.addColSet(x);
deba@458
    54
  lp.colLowerBound(x,1);
deba@458
    55
  lp.colUpperBound(x,1);
deba@458
    56
  lp.colBounds(x,1,2);
deba@458
    57
deba@458
    58
  std::vector<LP::Col> y(10);
deba@458
    59
  lp.addColSet(y);
deba@458
    60
deba@458
    61
  lp.colLowerBound(y,1);
deba@458
    62
  lp.colUpperBound(y,1);
deba@458
    63
  lp.colBounds(y,1,2);
deba@458
    64
deba@458
    65
  std::map<int,LP::Col> z;
deba@458
    66
deba@458
    67
  z.insert(std::make_pair(12,INVALID));
deba@458
    68
  z.insert(std::make_pair(2,INVALID));
deba@458
    69
  z.insert(std::make_pair(7,INVALID));
deba@458
    70
  z.insert(std::make_pair(5,INVALID));
deba@458
    71
deba@458
    72
  lp.addColSet(z);
deba@458
    73
deba@458
    74
  lp.colLowerBound(z,1);
deba@458
    75
  lp.colUpperBound(z,1);
deba@458
    76
  lp.colBounds(z,1,2);
deba@458
    77
deba@458
    78
  {
deba@458
    79
    LP::Expr e,f,g;
deba@458
    80
    LP::Col p1,p2,p3,p4,p5;
deba@458
    81
    LP::Constr c;
deba@458
    82
deba@458
    83
    p1=lp.addCol();
deba@458
    84
    p2=lp.addCol();
deba@458
    85
    p3=lp.addCol();
deba@458
    86
    p4=lp.addCol();
deba@458
    87
    p5=lp.addCol();
deba@458
    88
deba@458
    89
    e[p1]=2;
deba@459
    90
    *e=12;
deba@458
    91
    e[p1]+=2;
deba@459
    92
    *e+=12;
deba@458
    93
    e[p1]-=2;
deba@459
    94
    *e-=12;
deba@458
    95
deba@458
    96
    e=2;
deba@458
    97
    e=2.2;
deba@458
    98
    e=p1;
deba@458
    99
    e=f;
deba@458
   100
deba@458
   101
    e+=2;
deba@458
   102
    e+=2.2;
deba@458
   103
    e+=p1;
deba@458
   104
    e+=f;
deba@458
   105
deba@458
   106
    e-=2;
deba@458
   107
    e-=2.2;
deba@458
   108
    e-=p1;
deba@458
   109
    e-=f;
deba@458
   110
deba@458
   111
    e*=2;
deba@458
   112
    e*=2.2;
deba@458
   113
    e/=2;
deba@458
   114
    e/=2.2;
deba@458
   115
deba@458
   116
    e=((p1+p2)+(p1-p2)+(p1+12)+(12+p1)+(p1-12)+(12-p1)+
deba@458
   117
       (f+12)+(12+f)+(p1+f)+(f+p1)+(f+g)+
deba@458
   118
       (f-12)+(12-f)+(p1-f)+(f-p1)+(f-g)+
deba@458
   119
       2.2*f+f*2.2+f/2.2+
deba@458
   120
       2*f+f*2+f/2+
deba@458
   121
       2.2*p1+p1*2.2+p1/2.2+
deba@458
   122
       2*p1+p1*2+p1/2
deba@458
   123
       );
deba@458
   124
deba@458
   125
deba@458
   126
    c = (e  <= f  );
deba@458
   127
    c = (e  <= 2.2);
deba@458
   128
    c = (e  <= 2  );
deba@458
   129
    c = (e  <= p1 );
deba@458
   130
    c = (2.2<= f  );
deba@458
   131
    c = (2  <= f  );
deba@458
   132
    c = (p1 <= f  );
deba@458
   133
    c = (p1 <= p2 );
deba@458
   134
    c = (p1 <= 2.2);
deba@458
   135
    c = (p1 <= 2  );
deba@458
   136
    c = (2.2<= p2 );
deba@458
   137
    c = (2  <= p2 );
deba@458
   138
deba@458
   139
    c = (e  >= f  );
deba@458
   140
    c = (e  >= 2.2);
deba@458
   141
    c = (e  >= 2  );
deba@458
   142
    c = (e  >= p1 );
deba@458
   143
    c = (2.2>= f  );
deba@458
   144
    c = (2  >= f  );
deba@458
   145
    c = (p1 >= f  );
deba@458
   146
    c = (p1 >= p2 );
deba@458
   147
    c = (p1 >= 2.2);
deba@458
   148
    c = (p1 >= 2  );
deba@458
   149
    c = (2.2>= p2 );
deba@458
   150
    c = (2  >= p2 );
deba@458
   151
deba@458
   152
    c = (e  == f  );
deba@458
   153
    c = (e  == 2.2);
deba@458
   154
    c = (e  == 2  );
deba@458
   155
    c = (e  == p1 );
deba@458
   156
    c = (2.2== f  );
deba@458
   157
    c = (2  == f  );
deba@458
   158
    c = (p1 == f  );
deba@458
   159
    //c = (p1 == p2 );
deba@458
   160
    c = (p1 == 2.2);
deba@458
   161
    c = (p1 == 2  );
deba@458
   162
    c = (2.2== p2 );
deba@458
   163
    c = (2  == p2 );
deba@458
   164
alpar@460
   165
    c = ((2 <= e) <= 3);
alpar@460
   166
    c = ((2 <= p1) <= 3);
deba@458
   167
alpar@460
   168
    c = ((2 >= e) >= 3);
alpar@460
   169
    c = ((2 >= p1) >= 3);
deba@458
   170
deba@458
   171
    e[x[3]]=2;
deba@458
   172
    e[x[3]]=4;
deba@458
   173
    e[x[3]]=1;
deba@459
   174
    *e=12;
deba@458
   175
deba@459
   176
    lp.addRow(-LP::INF,e,23);
deba@459
   177
    lp.addRow(-LP::INF,3.0*(x[1]+x[2]/2)-x[3],23);
deba@459
   178
    lp.addRow(-LP::INF,3.0*(x[1]+x[2]*2-5*x[3]+12-x[4]/3)+2*x[4]-4,23);
deba@458
   179
deba@458
   180
    lp.addRow(x[1]+x[3]<=x[5]-3);
alpar@460
   181
    lp.addRow((-7<=x[1]+x[3]-12)<=3);
deba@458
   182
    lp.addRow(x[1]<=x[5]);
deba@458
   183
deba@458
   184
    std::ostringstream buf;
deba@458
   185
deba@458
   186
deba@458
   187
    e=((p1+p2)+(p1-0.99*p2));
deba@458
   188
    //e.prettyPrint(std::cout);
deba@458
   189
    //(e<=2).prettyPrint(std::cout);
deba@458
   190
    double tolerance=0.001;
deba@458
   191
    e.simplify(tolerance);
deba@458
   192
    buf << "Coeff. of p2 should be 0.01";
deba@458
   193
    check(e[p2]>0, buf.str());
deba@458
   194
deba@458
   195
    tolerance=0.02;
deba@458
   196
    e.simplify(tolerance);
deba@458
   197
    buf << "Coeff. of p2 should be 0";
deba@459
   198
    check(const_cast<const LpSolver::Expr&>(e)[p2]==0, buf.str());
deba@458
   199
deba@458
   200
deba@458
   201
  }
deba@458
   202
deba@458
   203
  {
deba@458
   204
    LP::DualExpr e,f,g;
deba@458
   205
    LP::Row p1 = INVALID, p2 = INVALID, p3 = INVALID,
deba@458
   206
      p4 = INVALID, p5 = INVALID;
deba@458
   207
deba@458
   208
    e[p1]=2;
deba@458
   209
    e[p1]+=2;
deba@458
   210
    e[p1]-=2;
deba@458
   211
deba@458
   212
    e=p1;
deba@458
   213
    e=f;
deba@458
   214
deba@458
   215
    e+=p1;
deba@458
   216
    e+=f;
deba@458
   217
deba@458
   218
    e-=p1;
deba@458
   219
    e-=f;
deba@458
   220
deba@458
   221
    e*=2;
deba@458
   222
    e*=2.2;
deba@458
   223
    e/=2;
deba@458
   224
    e/=2.2;
deba@458
   225
deba@458
   226
    e=((p1+p2)+(p1-p2)+
deba@458
   227
       (p1+f)+(f+p1)+(f+g)+
deba@458
   228
       (p1-f)+(f-p1)+(f-g)+
deba@458
   229
       2.2*f+f*2.2+f/2.2+
deba@458
   230
       2*f+f*2+f/2+
deba@458
   231
       2.2*p1+p1*2.2+p1/2.2+
deba@458
   232
       2*p1+p1*2+p1/2
deba@458
   233
       );
deba@458
   234
  }
deba@458
   235
deba@458
   236
}
deba@458
   237
deba@459
   238
void solveAndCheck(LpSolver& lp, LpSolver::ProblemType stat,
deba@458
   239
                   double exp_opt) {
deba@458
   240
  using std::string;
deba@458
   241
  lp.solve();
deba@459
   242
deba@458
   243
  std::ostringstream buf;
deba@459
   244
  buf << "PrimalType should be: " << int(stat) << int(lp.primalType());
deba@458
   245
deba@459
   246
  check(lp.primalType()==stat, buf.str());
deba@458
   247
deba@459
   248
  if (stat ==  LpSolver::OPTIMAL) {
deba@458
   249
    std::ostringstream sbuf;
deba@458
   250
    sbuf << "Wrong optimal value: the right optimum is " << exp_opt;
deba@459
   251
    check(std::abs(lp.primal()-exp_opt) < 1e-3, sbuf.str());
deba@458
   252
  }
deba@458
   253
}
deba@458
   254
deba@459
   255
void aTest(LpSolver & lp)
deba@458
   256
{
deba@459
   257
  typedef LpSolver LP;
deba@458
   258
deba@458
   259
 //The following example is very simple
deba@458
   260
deba@459
   261
  typedef LpSolver::Row Row;
deba@459
   262
  typedef LpSolver::Col Col;
deba@458
   263
deba@458
   264
deba@458
   265
  Col x1 = lp.addCol();
deba@458
   266
  Col x2 = lp.addCol();
deba@458
   267
deba@458
   268
deba@458
   269
  //Constraints
deba@459
   270
  Row upright=lp.addRow(x1+2*x2 <=1);
deba@458
   271
  lp.addRow(x1+x2 >=-1);
deba@458
   272
  lp.addRow(x1-x2 <=1);
deba@458
   273
  lp.addRow(x1-x2 >=-1);
deba@458
   274
  //Nonnegativity of the variables
deba@458
   275
  lp.colLowerBound(x1, 0);
deba@458
   276
  lp.colLowerBound(x2, 0);
deba@458
   277
  //Objective function
deba@458
   278
  lp.obj(x1+x2);
deba@458
   279
deba@459
   280
  lp.sense(lp.MAX);
deba@458
   281
deba@458
   282
  //Testing the problem retrieving routines
deba@458
   283
  check(lp.objCoeff(x1)==1,"First term should be 1 in the obj function!");
deba@459
   284
  check(lp.sense() == lp.MAX,"This is a maximization!");
deba@458
   285
  check(lp.coeff(upright,x1)==1,"The coefficient in question is 1!");
deba@459
   286
  check(lp.colLowerBound(x1)==0,
deba@459
   287
        "The lower bound for variable x1 should be 0.");
deba@459
   288
  check(lp.colUpperBound(x1)==LpSolver::INF,
deba@459
   289
        "The upper bound for variable x1 should be infty.");
deba@459
   290
  check(lp.rowLowerBound(upright) == -LpSolver::INF,
deba@459
   291
        "The lower bound for the first row should be -infty.");
deba@459
   292
  check(lp.rowUpperBound(upright)==1,
deba@459
   293
        "The upper bound for the first row should be 1.");
deba@459
   294
  LpSolver::Expr e = lp.row(upright);
deba@459
   295
  check(e[x1] == 1, "The first coefficient should 1.");
deba@459
   296
  check(e[x2] == 2, "The second coefficient should 1.");
deba@458
   297
deba@459
   298
  lp.row(upright, x1+x2 <=1);
deba@459
   299
  e = lp.row(upright);
deba@459
   300
  check(e[x1] == 1, "The first coefficient should 1.");
deba@459
   301
  check(e[x2] == 1, "The second coefficient should 1.");
deba@459
   302
deba@459
   303
  LpSolver::DualExpr de = lp.col(x1);
deba@458
   304
  check(  de[upright] == 1, "The first coefficient should 1.");
deba@458
   305
deba@459
   306
  LpSolver* clp = lp.cloneSolver();
deba@458
   307
deba@458
   308
  //Testing the problem retrieving routines
deba@458
   309
  check(clp->objCoeff(x1)==1,"First term should be 1 in the obj function!");
deba@459
   310
  check(clp->sense() == clp->MAX,"This is a maximization!");
deba@458
   311
  check(clp->coeff(upright,x1)==1,"The coefficient in question is 1!");
deba@458
   312
  //  std::cout<<lp.colLowerBound(x1)<<std::endl;
deba@459
   313
  check(clp->colLowerBound(x1)==0,
deba@459
   314
        "The lower bound for variable x1 should be 0.");
deba@459
   315
  check(clp->colUpperBound(x1)==LpSolver::INF,
deba@459
   316
        "The upper bound for variable x1 should be infty.");
deba@458
   317
deba@459
   318
  check(lp.rowLowerBound(upright)==-LpSolver::INF,
deba@459
   319
        "The lower bound for the first row should be -infty.");
deba@459
   320
  check(lp.rowUpperBound(upright)==1,
deba@459
   321
        "The upper bound for the first row should be 1.");
deba@458
   322
  e = clp->row(upright);
deba@459
   323
  check(e[x1] == 1, "The first coefficient should 1.");
deba@459
   324
  check(e[x2] == 1, "The second coefficient should 1.");
deba@458
   325
deba@458
   326
  de = clp->col(x1);
deba@459
   327
  check(de[upright] == 1, "The first coefficient should 1.");
deba@458
   328
deba@458
   329
  delete clp;
deba@458
   330
deba@458
   331
  //Maximization of x1+x2
deba@458
   332
  //over the triangle with vertices (0,0) (0,1) (1,0)
deba@458
   333
  double expected_opt=1;
deba@459
   334
  solveAndCheck(lp, LpSolver::OPTIMAL, expected_opt);
deba@458
   335
deba@458
   336
  //Minimization
deba@459
   337
  lp.sense(lp.MIN);
deba@458
   338
  expected_opt=0;
deba@459
   339
  solveAndCheck(lp, LpSolver::OPTIMAL, expected_opt);
deba@458
   340
deba@458
   341
  //Vertex (-1,0) instead of (0,0)
deba@459
   342
  lp.colLowerBound(x1, -LpSolver::INF);
deba@458
   343
  expected_opt=-1;
deba@459
   344
  solveAndCheck(lp, LpSolver::OPTIMAL, expected_opt);
deba@458
   345
deba@458
   346
  //Erase one constraint and return to maximization
deba@459
   347
  lp.erase(upright);
deba@459
   348
  lp.sense(lp.MAX);
deba@459
   349
  expected_opt=LpSolver::INF;
deba@459
   350
  solveAndCheck(lp, LpSolver::UNBOUNDED, expected_opt);
deba@458
   351
deba@458
   352
  //Infeasibilty
deba@458
   353
  lp.addRow(x1+x2 <=-2);
deba@459
   354
  solveAndCheck(lp, LpSolver::INFEASIBLE, expected_opt);
deba@458
   355
deba@458
   356
}
deba@458
   357
deba@458
   358
int main()
deba@458
   359
{
deba@458
   360
  LpSkeleton lp_skel;
deba@458
   361
  lpTest(lp_skel);
deba@458
   362
deba@458
   363
#ifdef HAVE_GLPK
deba@459
   364
  {
alpar@462
   365
    GlpkLp lp_glpk1,lp_glpk2;
deba@459
   366
    lpTest(lp_glpk1);
deba@459
   367
    aTest(lp_glpk2);
deba@459
   368
  }
deba@458
   369
#endif
deba@458
   370
deba@458
   371
#ifdef HAVE_CPLEX
deba@459
   372
  try {
alpar@462
   373
    CplexLp lp_cplex1,lp_cplex2;
deba@459
   374
    lpTest(lp_cplex1);
deba@459
   375
    aTest(lp_cplex2);
deba@459
   376
  } catch (CplexEnv::LicenseError& error) {
deba@459
   377
#ifdef LEMON_FORCE_CPLEX_CHECK
deba@459
   378
    check(false, error.what());
deba@459
   379
#else
deba@459
   380
    std::cerr << error.what() << std::endl;
deba@459
   381
    std::cerr << "Cplex license check failed, lp check skipped" << std::endl;
deba@459
   382
#endif
deba@459
   383
  }
deba@458
   384
#endif
deba@458
   385
deba@458
   386
#ifdef HAVE_SOPLEX
deba@459
   387
  {
alpar@462
   388
    SoplexLp lp_soplex1,lp_soplex2;
deba@459
   389
    lpTest(lp_soplex1);
deba@459
   390
    aTest(lp_soplex2);
deba@459
   391
  }
deba@459
   392
#endif
deba@459
   393
deba@459
   394
#ifdef HAVE_CLP
deba@459
   395
  {
alpar@462
   396
    ClpLp lp_clp1,lp_clp2;
deba@459
   397
    lpTest(lp_clp1);
deba@459
   398
    aTest(lp_clp2);
deba@459
   399
  }
deba@458
   400
#endif
deba@458
   401
deba@458
   402
  return 0;
deba@458
   403
}