Exemple #1
0
int lpx_write_cpxlp(LPX *lp, const char *fname)
{     /* write problem data in CPLEX LP format */
      FILE *fp;
      int nrows, ncols, i, j, t, len, typx, flag, kind, *ind;
      double lb, ub, temp, *val;
      char line[1023+1], term[1023+1], rname[255+1], cname[255+1];
      print("lpx_write_cpxlp: writing problem data to `%s'...", fname);
      /* open the output text file */
      fp = xfopen(fname, "w");
      if (fp == NULL)
      {  print("lpx_write_cpxlp: unable to create `%s' - %s", fname,
            strerror(errno));
         goto fail;
      }
      /* determine the number of rows and columns */
      nrows = lpx_get_num_rows(lp);
      ncols = lpx_get_num_cols(lp);
      /* the problem should contain at least one row and one column */
      if (!(nrows > 0 && ncols > 0))
         fault("lpx_write_cpxlp: problem has no rows/columns");
      /* write problem name */
      {  const char *name = lpx_get_prob_name(lp);
         if (name == NULL) name = "Unknown";
         fprintf(fp, "\\* Problem: %s *\\\n", name);
         fprintf(fp, "\n");
      }
      /* allocate working arrays */
      ind = xcalloc(1+ncols, sizeof(int));
      val = xcalloc(1+ncols, sizeof(double));
      /* write the objective function definition and the constraints
         section */
      for (i = 0; i <= nrows; i++)
      {  if (i == 0)
         {  switch (lpx_get_obj_dir(lp))
            {  case LPX_MIN:
                  fprintf(fp, "Minimize\n");
                  break;
               case LPX_MAX:
                  fprintf(fp, "Maximize\n");
                  break;
               default:
                  xassert(lp != lp);
            }
         }
         else if (i == 1)
         {  temp = lpx_get_obj_coef(lp, 0);
            if (temp != 0.0)
               fprintf(fp, "\\* constant term = %.*g *\\\n", DBL_DIG,
                  temp);
            fprintf(fp, "\n");
            fprintf(fp, "Subject To\n");
         }
         row_name(lp, i, rname);
         if (i == 0)
         {  len = 0;
            for (j = 1; j <= ncols; j++)
            {  temp = lpx_get_obj_coef(lp, j);
               if (temp != 0.0)
                  len++, ind[len] = j, val[len] = temp;
            }
         }
         else
         {  lpx_get_row_bnds(lp, i, &typx, &lb, &ub);
            if (typx == LPX_FR) continue;
            len = lpx_get_mat_row(lp, i, ind, val);
         }
         flag = 0;
more:    if (!flag)
            sprintf(line, " %s:", rname);
         else
            sprintf(line, " %*s ", strlen(rname), "");
         for (t = 1; t <= len; t++)
         {  col_name(lp, ind[t], cname);
            if (val[t] == +1.0)
               sprintf(term, " + %s", cname);
            else if (val[t] == -1.0)
               sprintf(term, " - %s", cname);
            else if (val[t] > 0.0)
               sprintf(term, " + %.*g %s", DBL_DIG, +val[t], cname);
            else if (val[t] < 0.0)
               sprintf(term, " - %.*g %s", DBL_DIG, -val[t], cname);
            else
               xassert(lp != lp);
            if (strlen(line) + strlen(term) > 72)
               fprintf(fp, "%s\n", line), line[0] = '\0';
            strcat(line, term);
         }
         if (len == 0)
         {  /* empty row */
            sprintf(term, " 0 %s", col_name(lp, 1, cname));
            strcat(line, term);
         }
         if (i > 0)
         {  switch (typx)
            {  case LPX_LO:
               case LPX_DB:
                  sprintf(term, " >= %.*g", DBL_DIG, lb);
                  break;
               case LPX_UP:
                  sprintf(term, " <= %.*g", DBL_DIG, ub);
                  break;
               case LPX_FX:
                  sprintf(term, " = %.*g", DBL_DIG, lb);
                  break;
               default:
                  xassert(typx != typx);
            }
            if (strlen(line) + strlen(term) > 72)
               fprintf(fp, "%s\n", line), line[0] = '\0';
            strcat(line, term);
         }
         fprintf(fp, "%s\n", line);
         if (i > 0 && typx == LPX_DB)
         {  /* double-bounded row needs a copy for its upper bound */
            flag = 1;
            typx = LPX_UP;
            goto more;
         }
      }
      /* free working arrays */
      xfree(ind);
      xfree(val);
      /* write the bounds section */
      flag = 0;
      for (j = 1; j <= ncols; j++)
      {  col_name(lp, j, cname);
         lpx_get_col_bnds(lp, j, &typx, &lb, &ub);
         if (typx == LPX_LO && lb == 0.0) continue;
         if (!flag)
         {  fprintf(fp, "\n");
            fprintf(fp, "Bounds\n");
            flag = 1;
         }
         switch (typx)
         {  case LPX_FR:
               fprintf(fp, " %s free\n", cname);
               break;
            case LPX_LO:
               fprintf(fp, " %s >= %.*g\n", cname, DBL_DIG, lb);
               break;
            case LPX_UP:
               fprintf(fp, " %s <= %.*g\n", cname, DBL_DIG, ub);
               break;
            case LPX_DB:
               fprintf(fp, " %.*g <= %s <= %.*g\n", DBL_DIG, lb, cname,
                  DBL_DIG, ub);
               break;
            case LPX_FX:
               fprintf(fp, " %s = %.*g\n", cname, DBL_DIG, lb);
               break;
            default:
               xassert(typx != typx);
         }
      }
      /* write the general section */
      if (lpx_get_class(lp) == LPX_MIP)
      {  flag = 0;
         for (j = 1; j <= ncols; j++)
         {  kind = lpx_get_col_kind(lp, j);
            if (kind == LPX_CV) continue;
            xassert(kind == LPX_IV);
            if (!flag)
            {  fprintf(fp, "\n");
               fprintf(fp, "Generals\n");
               flag = 1;
            }
            fprintf(fp, " %s\n", col_name(lp, j, cname));
         }
      }
      /* write the end keyword */
      fprintf(fp, "\n");
      fprintf(fp, "End\n");
      /* close the output text file */
      fflush(fp);
      if (ferror(fp))
      {  print("lpx_write_cpxlp: write error on `%s' - %s", fname,
            strerror(errno));
         goto fail;
      }
      xfclose(fp);
      /* return to the calling program */
      return 0;
fail: /* the operation failed */
      if (fp != NULL) xfclose(fp);
      return 1;
}
int lpx_print_prob(LPX *lp, const char *fname)
{     XFILE *fp;
      int m, n, mip, i, j, len, t, type, *ndx;
      double coef, lb, ub, *val;
      char *str, name[255+1];
      xprintf("lpx_write_prob: writing problem data to `%s'...\n",
         fname);
      fp = xfopen(fname, "w");
      if (fp == NULL)
      {  xprintf("lpx_write_prob: unable to create `%s' - %s\n",
            fname, strerror(errno));
         goto fail;
      }
      m = lpx_get_num_rows(lp);
      n = lpx_get_num_cols(lp);
      mip = (lpx_get_class(lp) == LPX_MIP);
      str = (void *)lpx_get_prob_name(lp);
      xfprintf(fp, "Problem:    %s\n", str == NULL ? "(unnamed)" : str);
      xfprintf(fp, "Class:      %s\n", !mip ? "LP" : "MIP");
      xfprintf(fp, "Rows:       %d\n", m);
      if (!mip)
         xfprintf(fp, "Columns:    %d\n", n);
      else
         xfprintf(fp, "Columns:    %d (%d integer, %d binary)\n",
            n, lpx_get_num_int(lp), lpx_get_num_bin(lp));
      xfprintf(fp, "Non-zeros:  %d\n", lpx_get_num_nz(lp));
      xfprintf(fp, "\n");
      xfprintf(fp, "*** OBJECTIVE FUNCTION ***\n");
      xfprintf(fp, "\n");
      switch (lpx_get_obj_dir(lp))
      {  case LPX_MIN:
            xfprintf(fp, "Minimize:");
            break;
         case LPX_MAX:
            xfprintf(fp, "Maximize:");
            break;
         default:
            xassert(lp != lp);
      }
      str = (void *)lpx_get_obj_name(lp);
      xfprintf(fp, " %s\n", str == NULL ? "(unnamed)" : str);
      coef = lpx_get_obj_coef(lp, 0);
      if (coef != 0.0)
         xfprintf(fp, "%*.*g %s\n", DBL_DIG+7, DBL_DIG, coef,
            "(constant term)");
      for (i = 1; i <= m; i++)
#if 0
      {  coef = lpx_get_row_coef(lp, i);
#else
      {  coef = 0.0;
#endif
         if (coef != 0.0)
            xfprintf(fp, "%*.*g %s\n", DBL_DIG+7, DBL_DIG, coef,
               row_name(lp, i, name));
      }
      for (j = 1; j <= n; j++)
      {  coef = lpx_get_obj_coef(lp, j);
         if (coef != 0.0)
            xfprintf(fp, "%*.*g %s\n", DBL_DIG+7, DBL_DIG, coef,
               col_name(lp, j, name));
      }
      xfprintf(fp, "\n");
      xfprintf(fp, "*** ROWS (CONSTRAINTS) ***\n");
      ndx = xcalloc(1+n, sizeof(int));
      val = xcalloc(1+n, sizeof(double));
      for (i = 1; i <= m; i++)
      {  xfprintf(fp, "\n");
         xfprintf(fp, "Row %d: %s", i, row_name(lp, i, name));
         lpx_get_row_bnds(lp, i, &type, &lb, &ub);
         switch (type)
         {  case LPX_FR:
               xfprintf(fp, " free");
               break;
            case LPX_LO:
               xfprintf(fp, " >= %.*g", DBL_DIG, lb);
               break;
            case LPX_UP:
               xfprintf(fp, " <= %.*g", DBL_DIG, ub);
               break;
            case LPX_DB:
               xfprintf(fp, " >= %.*g <= %.*g", DBL_DIG, lb, DBL_DIG,
                  ub);
               break;
            case LPX_FX:
               xfprintf(fp, " = %.*g", DBL_DIG, lb);
               break;
            default:
               xassert(type != type);
         }
         xfprintf(fp, "\n");
#if 0
         coef = lpx_get_row_coef(lp, i);
#else
         coef = 0.0;
#endif
         if (coef != 0.0)
            xfprintf(fp, "%*.*g %s\n", DBL_DIG+7, DBL_DIG, coef,
               "(objective)");
         len = lpx_get_mat_row(lp, i, ndx, val);
         for (t = 1; t <= len; t++)
            xfprintf(fp, "%*.*g %s\n", DBL_DIG+7, DBL_DIG, val[t],
               col_name(lp, ndx[t], name));
      }
      xfree(ndx);
      xfree(val);
      xfprintf(fp, "\n");
      xfprintf(fp, "*** COLUMNS (VARIABLES) ***\n");
      ndx = xcalloc(1+m, sizeof(int));
      val = xcalloc(1+m, sizeof(double));
      for (j = 1; j <= n; j++)
      {  xfprintf(fp, "\n");
         xfprintf(fp, "Col %d: %s", j, col_name(lp, j, name));
         if (mip)
         {  switch (lpx_get_col_kind(lp, j))
            {  case LPX_CV:
                  break;
               case LPX_IV:
                  xfprintf(fp, " integer");
                  break;
               default:
                  xassert(lp != lp);
            }
         }
         lpx_get_col_bnds(lp, j, &type, &lb, &ub);
         switch (type)
         {  case LPX_FR:
               xfprintf(fp, " free");
               break;
            case LPX_LO:
               xfprintf(fp, " >= %.*g", DBL_DIG, lb);
               break;
            case LPX_UP:
               xfprintf(fp, " <= %.*g", DBL_DIG, ub);
               break;
            case LPX_DB:
               xfprintf(fp, " >= %.*g <= %.*g", DBL_DIG, lb, DBL_DIG,
                  ub);
               break;
            case LPX_FX:
               xfprintf(fp, " = %.*g", DBL_DIG, lb);
               break;
            default:
               xassert(type != type);
         }
         xfprintf(fp, "\n");
         coef = lpx_get_obj_coef(lp, j);
         if (coef != 0.0)
            xfprintf(fp, "%*.*g %s\n", DBL_DIG+7, DBL_DIG, coef,
               "(objective)");
         len = lpx_get_mat_col(lp, j, ndx, val);
         for (t = 1; t <= len; t++)
            xfprintf(fp, "%*.*g %s\n", DBL_DIG+7, DBL_DIG, val[t],
               row_name(lp, ndx[t], name));
      }
      xfree(ndx);
      xfree(val);
      xfprintf(fp, "\n");
      xfprintf(fp, "End of output\n");
      xfflush(fp);
      if (xferror(fp))
      {  xprintf("lpx_write_prob: write error on `%s' - %s\n", fname,
            strerror(errno));
         goto fail;
      }
      xfclose(fp);
      return 0;
fail: if (fp != NULL) xfclose(fp);
      return 1;
}

#undef row_name
#undef col_name

/*----------------------------------------------------------------------
-- lpx_print_sol - write LP problem solution in printable format.
--
-- *Synopsis*
--
-- #include "glplpx.h"
-- int lpx_print_sol(LPX *lp, char *fname);
--
-- *Description*
--
-- The routine lpx_print_sol writes the current basic solution of an LP
-- problem, which is specified by the pointer lp, to a text file, whose
-- name is the character string fname, in printable format.
--
-- Information reported by the routine lpx_print_sol is intended mainly
-- for visual analysis.
--
-- *Returns*
--
-- If the operation was successful, the routine returns zero. Otherwise
-- the routine prints an error message and returns non-zero. */

int lpx_print_sol(LPX *lp, const char *fname)
{     XFILE *fp;
      int what, round;
      xprintf(
         "lpx_print_sol: writing LP problem solution to `%s'...\n",
         fname);
      fp = xfopen(fname, "w");
      if (fp == NULL)
      {  xprintf("lpx_print_sol: can't create `%s' - %s\n", fname,
            strerror(errno));
         goto fail;
      }
      /* problem name */
      {  const char *name;
         name = lpx_get_prob_name(lp);
         if (name == NULL) name = "";
         xfprintf(fp, "%-12s%s\n", "Problem:", name);
      }
      /* number of rows (auxiliary variables) */
      {  int nr;
         nr = lpx_get_num_rows(lp);
         xfprintf(fp, "%-12s%d\n", "Rows:", nr);
      }
      /* number of columns (structural variables) */
      {  int nc;
         nc = lpx_get_num_cols(lp);
         xfprintf(fp, "%-12s%d\n", "Columns:", nc);
      }
      /* number of non-zeros (constraint coefficients) */
      {  int nz;
         nz = lpx_get_num_nz(lp);
         xfprintf(fp, "%-12s%d\n", "Non-zeros:", nz);
      }
      /* solution status */
      {  int status;
         status = lpx_get_status(lp);
         xfprintf(fp, "%-12s%s\n", "Status:",
            status == LPX_OPT    ? "OPTIMAL" :
            status == LPX_FEAS   ? "FEASIBLE" :
            status == LPX_INFEAS ? "INFEASIBLE (INTERMEDIATE)" :
            status == LPX_NOFEAS ? "INFEASIBLE (FINAL)" :
            status == LPX_UNBND  ? "UNBOUNDED" :
            status == LPX_UNDEF  ? "UNDEFINED" : "???");
      }
      /* objective function */
      {  char *name;
         int dir;
         double obj;
         name = (void *)lpx_get_obj_name(lp);
         dir = lpx_get_obj_dir(lp);
         obj = lpx_get_obj_val(lp);
         xfprintf(fp, "%-12s%s%s%.10g %s\n", "Objective:",
            name == NULL ? "" : name,
            name == NULL ? "" : " = ", obj,
            dir == LPX_MIN ? "(MINimum)" :
            dir == LPX_MAX ? "(MAXimum)" : "(" "???" ")");
      }
      /* main sheet */
      for (what = 1; what <= 2; what++)
      {  int mn, ij;
         xfprintf(fp, "\n");
         xfprintf(fp, "   No. %-12s St   Activity     Lower bound   Upp"
            "er bound    Marginal\n",
            what == 1 ? "  Row name" : "Column name");
         xfprintf(fp, "------ ------------ -- ------------- -----------"
            "-- ------------- -------------\n");
         mn = (what == 1 ? lpx_get_num_rows(lp) : lpx_get_num_cols(lp));
         for (ij = 1; ij <= mn; ij++)
         {  const char *name;
            int typx, tagx;
            double lb, ub, vx, dx;
            if (what == 1)
            {  name = lpx_get_row_name(lp, ij);
               if (name == NULL) name = "";
               lpx_get_row_bnds(lp, ij, &typx, &lb, &ub);
               round = lpx_get_int_parm(lp, LPX_K_ROUND);
               lpx_set_int_parm(lp, LPX_K_ROUND, 1);
               lpx_get_row_info(lp, ij, &tagx, &vx, &dx);
               lpx_set_int_parm(lp, LPX_K_ROUND, round);
            }
            else
            {  name = lpx_get_col_name(lp, ij);
               if (name == NULL) name = "";
               lpx_get_col_bnds(lp, ij, &typx, &lb, &ub);
               round = lpx_get_int_parm(lp, LPX_K_ROUND);
               lpx_set_int_parm(lp, LPX_K_ROUND, 1);
               lpx_get_col_info(lp, ij, &tagx, &vx, &dx);
               lpx_set_int_parm(lp, LPX_K_ROUND, round);
            }
            /* row/column ordinal number */
            xfprintf(fp, "%6d ", ij);
            /* row column/name */
            if (strlen(name) <= 12)
               xfprintf(fp, "%-12s ", name);
            else
               xfprintf(fp, "%s\n%20s", name, "");
            /* row/column status */
            xfprintf(fp, "%s ",
               tagx == LPX_BS ? "B " :
               tagx == LPX_NL ? "NL" :
               tagx == LPX_NU ? "NU" :
               tagx == LPX_NF ? "NF" :
               tagx == LPX_NS ? "NS" : "??");
            /* row/column primal activity */
            xfprintf(fp, "%13.6g ", vx);
            /* row/column lower bound */
            if (typx == LPX_LO || typx == LPX_DB || typx == LPX_FX)
               xfprintf(fp, "%13.6g ", lb);
            else
               xfprintf(fp, "%13s ", "");
            /* row/column upper bound */
            if (typx == LPX_UP || typx == LPX_DB)
               xfprintf(fp, "%13.6g ", ub);
            else if (typx == LPX_FX)
               xfprintf(fp, "%13s ", "=");
            else
               xfprintf(fp, "%13s ", "");
            /* row/column dual activity */
            if (tagx != LPX_BS)
            {  if (dx == 0.0)
                  xfprintf(fp, "%13s", "< eps");
               else
                  xfprintf(fp, "%13.6g", dx);
            }
            /* end of line */
            xfprintf(fp, "\n");
         }
      }
      xfprintf(fp, "\n");
#if 1
      if (lpx_get_prim_stat(lp) != LPX_P_UNDEF &&
          lpx_get_dual_stat(lp) != LPX_D_UNDEF)
      {  int m = lpx_get_num_rows(lp);
         LPXKKT kkt;
         xfprintf(fp, "Karush-Kuhn-Tucker optimality conditions:\n\n");
         lpx_check_kkt(lp, 1, &kkt);
         xfprintf(fp, "KKT.PE: max.abs.err. = %.2e on row %d\n",
            kkt.pe_ae_max, kkt.pe_ae_row);
         xfprintf(fp, "        max.rel.err. = %.2e on row %d\n",
            kkt.pe_re_max, kkt.pe_re_row);
         switch (kkt.pe_quality)
         {  case 'H':
               xfprintf(fp, "        High quality\n");
               break;
            case 'M':
               xfprintf(fp, "        Medium quality\n");
               break;
            case 'L':
               xfprintf(fp, "        Low quality\n");
               break;
            default:
               xfprintf(fp, "        PRIMAL SOLUTION IS WRONG\n");
               break;
         }
         xfprintf(fp, "\n");
         xfprintf(fp, "KKT.PB: max.abs.err. = %.2e on %s %d\n",
            kkt.pb_ae_max, kkt.pb_ae_ind <= m ? "row" : "column",
            kkt.pb_ae_ind <= m ? kkt.pb_ae_ind : kkt.pb_ae_ind - m);
         xfprintf(fp, "        max.rel.err. = %.2e on %s %d\n",
            kkt.pb_re_max, kkt.pb_re_ind <= m ? "row" : "column",
            kkt.pb_re_ind <= m ? kkt.pb_re_ind : kkt.pb_re_ind - m);
         switch (kkt.pb_quality)
         {  case 'H':
               xfprintf(fp, "        High quality\n");
               break;
            case 'M':
               xfprintf(fp, "        Medium quality\n");
               break;
            case 'L':
               xfprintf(fp, "        Low quality\n");
               break;
            default:
               xfprintf(fp, "        PRIMAL SOLUTION IS INFEASIBLE\n");
               break;
         }
         xfprintf(fp, "\n");
         xfprintf(fp, "KKT.DE: max.abs.err. = %.2e on column %d\n",
            kkt.de_ae_max, kkt.de_ae_col);
         xfprintf(fp, "        max.rel.err. = %.2e on column %d\n",
            kkt.de_re_max, kkt.de_re_col);
         switch (kkt.de_quality)
         {  case 'H':
               xfprintf(fp, "        High quality\n");
               break;
            case 'M':
               xfprintf(fp, "        Medium quality\n");
               break;
            case 'L':
               xfprintf(fp, "        Low quality\n");
               break;
            default:
               xfprintf(fp, "        DUAL SOLUTION IS WRONG\n");
               break;
         }
         xfprintf(fp, "\n");
         xfprintf(fp, "KKT.DB: max.abs.err. = %.2e on %s %d\n",
            kkt.db_ae_max, kkt.db_ae_ind <= m ? "row" : "column",
            kkt.db_ae_ind <= m ? kkt.db_ae_ind : kkt.db_ae_ind - m);
         xfprintf(fp, "        max.rel.err. = %.2e on %s %d\n",
            kkt.db_re_max, kkt.db_re_ind <= m ? "row" : "column",
            kkt.db_re_ind <= m ? kkt.db_re_ind : kkt.db_re_ind - m);
         switch (kkt.db_quality)
         {  case 'H':
               xfprintf(fp, "        High quality\n");
               break;
            case 'M':
               xfprintf(fp, "        Medium quality\n");
               break;
            case 'L':
               xfprintf(fp, "        Low quality\n");
               break;
            default:
               xfprintf(fp, "        DUAL SOLUTION IS INFEASIBLE\n");
               break;
         }
         xfprintf(fp, "\n");
      }
#endif
#if 1
      if (lpx_get_status(lp) == LPX_UNBND)
      {  int m = lpx_get_num_rows(lp);
         int k = lpx_get_ray_info(lp);
         xfprintf(fp, "Unbounded ray: %s %d\n",
            k <= m ? "row" : "column", k <= m ? k : k - m);
         xfprintf(fp, "\n");
      }
#endif
      xfprintf(fp, "End of output\n");
      xfflush(fp);
      if (xferror(fp))
      {  xprintf("lpx_print_sol: can't write to `%s' - %s\n", fname,
            strerror(errno));
         goto fail;
      }
      xfclose(fp);
      return 0;
fail: if (fp != NULL) xfclose(fp);
      return 1;
}
int lpx_print_ips(LPX *lp, const char *fname)
{     XFILE *fp;
      int what, round;
      xprintf("lpx_print_ips: writing LP problem solution to `%s'...\n",
         fname);
      fp = xfopen(fname, "w");
      if (fp == NULL)
      {  xprintf("lpx_print_ips: can't create `%s' - %s\n", fname,
            strerror(errno));
         goto fail;
      }
      /* problem name */
      {  const char *name;
         name = lpx_get_prob_name(lp);
         if (name == NULL) name = "";
         xfprintf(fp, "%-12s%s\n", "Problem:", name);
      }
      /* number of rows (auxiliary variables) */
      {  int nr;
         nr = lpx_get_num_rows(lp);
         xfprintf(fp, "%-12s%d\n", "Rows:", nr);
      }
      /* number of columns (structural variables) */
      {  int nc;
         nc = lpx_get_num_cols(lp);
         xfprintf(fp, "%-12s%d\n", "Columns:", nc);
      }
      /* number of non-zeros (constraint coefficients) */
      {  int nz;
         nz = lpx_get_num_nz(lp);
         xfprintf(fp, "%-12s%d\n", "Non-zeros:", nz);
      }
      /* solution status */
      {  int status;
         status = lpx_ipt_status(lp);
         xfprintf(fp, "%-12s%s\n", "Status:",
            status == LPX_T_UNDEF  ? "INTERIOR UNDEFINED" :
            status == LPX_T_OPT    ? "INTERIOR OPTIMAL" : "???");
      }
      /* objective function */
      {  char *name;
         int dir;
         double obj;
         name = (void *)lpx_get_obj_name(lp);
         dir = lpx_get_obj_dir(lp);
         obj = lpx_ipt_obj_val(lp);
         xfprintf(fp, "%-12s%s%s%.10g %s\n", "Objective:",
            name == NULL ? "" : name,
            name == NULL ? "" : " = ", obj,
            dir == LPX_MIN ? "(MINimum)" :
            dir == LPX_MAX ? "(MAXimum)" : "(" "???" ")");
      }
      /* main sheet */
      for (what = 1; what <= 2; what++)
      {  int mn, ij;
         xfprintf(fp, "\n");
         xfprintf(fp, "   No. %-12s      Activity     Lower bound   Upp"
            "er bound    Marginal\n",
            what == 1 ? "  Row name" : "Column name");
         xfprintf(fp, "------ ------------    ------------- -----------"
            "-- ------------- -------------\n");
         mn = (what == 1 ? lpx_get_num_rows(lp) : lpx_get_num_cols(lp));
         for (ij = 1; ij <= mn; ij++)
         {  const char *name;
            int typx /*, tagx */;
            double lb, ub, vx, dx;
            if (what == 1)
            {  name = lpx_get_row_name(lp, ij);
               if (name == NULL) name = "";
               lpx_get_row_bnds(lp, ij, &typx, &lb, &ub);
               round = lpx_get_int_parm(lp, LPX_K_ROUND);
               lpx_set_int_parm(lp, LPX_K_ROUND, 1);
               vx = lpx_ipt_row_prim(lp, ij);
               dx = lpx_ipt_row_dual(lp, ij);
               lpx_set_int_parm(lp, LPX_K_ROUND, round);
            }
            else
            {  name = lpx_get_col_name(lp, ij);
               if (name == NULL) name = "";
               lpx_get_col_bnds(lp, ij, &typx, &lb, &ub);
               round = lpx_get_int_parm(lp, LPX_K_ROUND);
               lpx_set_int_parm(lp, LPX_K_ROUND, 1);
               vx = lpx_ipt_col_prim(lp, ij);
               dx = lpx_ipt_col_dual(lp, ij);
               lpx_set_int_parm(lp, LPX_K_ROUND, round);
            }
            /* row/column ordinal number */
            xfprintf(fp, "%6d ", ij);
            /* row column/name */
            if (strlen(name) <= 12)
               xfprintf(fp, "%-12s ", name);
            else
               xfprintf(fp, "%s\n%20s", name, "");
            /* two positions are currently not used */
            xfprintf(fp, "   ");
            /* row/column primal activity */
            xfprintf(fp, "%13.6g ", vx);
            /* row/column lower bound */
            if (typx == LPX_LO || typx == LPX_DB || typx == LPX_FX)
               xfprintf(fp, "%13.6g ", lb);
            else
               xfprintf(fp, "%13s ", "");
            /* row/column upper bound */
            if (typx == LPX_UP || typx == LPX_DB)
               xfprintf(fp, "%13.6g ", ub);
            else if (typx == LPX_FX)
               xfprintf(fp, "%13s ", "=");
            else
               xfprintf(fp, "%13s ", "");
            /* row/column dual activity */
            xfprintf(fp, "%13.6g", dx);
            /* end of line */
            xfprintf(fp, "\n");
         }
      }
      xfprintf(fp, "\n");
      xfprintf(fp, "End of output\n");
      xfflush(fp);
      if (xferror(fp))
      {  xprintf("lpx_print_ips: can't write to `%s' - %s\n", fname,
            strerror(errno));
         goto fail;
      }
      xfclose(fp);
      return 0;
fail: if (fp != NULL) xfclose(fp);
      return 1;
}
int lpx_print_mip(LPX *lp, const char *fname)
{     XFILE *fp;
      int what, round;
#if 0
      if (lpx_get_class(lp) != LPX_MIP)
         fault("lpx_print_mip: error -- not a MIP problem");
#endif
      xprintf(
         "lpx_print_mip: writing MIP problem solution to `%s'...\n",
         fname);
      fp = xfopen(fname, "w");
      if (fp == NULL)
      {  xprintf("lpx_print_mip: can't create `%s' - %s\n", fname,
            strerror(errno));
         goto fail;
      }
      /* problem name */
      {  const char *name;
         name = lpx_get_prob_name(lp);
         if (name == NULL) name = "";
         xfprintf(fp, "%-12s%s\n", "Problem:", name);
      }
      /* number of rows (auxiliary variables) */
      {  int nr;
         nr = lpx_get_num_rows(lp);
         xfprintf(fp, "%-12s%d\n", "Rows:", nr);
      }
      /* number of columns (structural variables) */
      {  int nc, nc_int, nc_bin;
         nc = lpx_get_num_cols(lp);
         nc_int = lpx_get_num_int(lp);
         nc_bin = lpx_get_num_bin(lp);
         xfprintf(fp, "%-12s%d (%d integer, %d binary)\n", "Columns:",
            nc, nc_int, nc_bin);
      }
      /* number of non-zeros (constraint coefficients) */
      {  int nz;
         nz = lpx_get_num_nz(lp);
         xfprintf(fp, "%-12s%d\n", "Non-zeros:", nz);
      }
      /* solution status */
      {  int status;
         status = lpx_mip_status(lp);
         xfprintf(fp, "%-12s%s\n", "Status:",
            status == LPX_I_UNDEF  ? "INTEGER UNDEFINED" :
            status == LPX_I_OPT    ? "INTEGER OPTIMAL" :
            status == LPX_I_FEAS   ? "INTEGER NON-OPTIMAL" :
            status == LPX_I_NOFEAS ? "INTEGER EMPTY" : "???");
      }
      /* objective function */
      {  char *name;
         int dir;
         double mip_obj;
         name = (void *)lpx_get_obj_name(lp);
         dir = lpx_get_obj_dir(lp);
         mip_obj = lpx_mip_obj_val(lp);
         xfprintf(fp, "%-12s%s%s%.10g %s\n", "Objective:",
            name == NULL ? "" : name,
            name == NULL ? "" : " = ", mip_obj,
            dir == LPX_MIN ? "(MINimum)" :
            dir == LPX_MAX ? "(MAXimum)" : "(" "???" ")");
      }
      /* main sheet */
      for (what = 1; what <= 2; what++)
      {  int mn, ij;
         xfprintf(fp, "\n");
         xfprintf(fp, "   No. %-12s      Activity     Lower bound   Upp"
            "er bound\n",
            what == 1 ? "  Row name" : "Column name");
         xfprintf(fp, "------ ------------    ------------- -----------"
            "-- -------------\n");
         mn = (what == 1 ? lpx_get_num_rows(lp) : lpx_get_num_cols(lp));
         for (ij = 1; ij <= mn; ij++)
         {  const char *name;
            int kind, typx;
            double lb, ub, vx;
            if (what == 1)
            {  name = lpx_get_row_name(lp, ij);
               if (name == NULL) name = "";
               kind = LPX_CV;
               lpx_get_row_bnds(lp, ij, &typx, &lb, &ub);
               round = lpx_get_int_parm(lp, LPX_K_ROUND);
               lpx_set_int_parm(lp, LPX_K_ROUND, 1);
               vx = lpx_mip_row_val(lp, ij);
               lpx_set_int_parm(lp, LPX_K_ROUND, round);
            }
            else
            {  name = lpx_get_col_name(lp, ij);
               if (name == NULL) name = "";
               kind = lpx_get_col_kind(lp, ij);
               lpx_get_col_bnds(lp, ij, &typx, &lb, &ub);
               round = lpx_get_int_parm(lp, LPX_K_ROUND);
               lpx_set_int_parm(lp, LPX_K_ROUND, 1);
               vx = lpx_mip_col_val(lp, ij);
               lpx_set_int_parm(lp, LPX_K_ROUND, round);
            }
            /* row/column ordinal number */
            xfprintf(fp, "%6d ", ij);
            /* row column/name */
            if (strlen(name) <= 12)
               xfprintf(fp, "%-12s ", name);
            else
               xfprintf(fp, "%s\n%20s", name, "");
            /* row/column kind */
            xfprintf(fp, "%s  ",
               kind == LPX_CV ? " " : kind == LPX_IV ? "*" : "?");
            /* row/column primal activity */
            xfprintf(fp, "%13.6g", vx);
            /* row/column lower and upper bounds */
            switch (typx)
            {  case LPX_FR:
                  break;
               case LPX_LO:
                  xfprintf(fp, " %13.6g", lb);
                  break;
               case LPX_UP:
                  xfprintf(fp, " %13s %13.6g", "", ub);
                  break;
               case LPX_DB:
                  xfprintf(fp, " %13.6g %13.6g", lb, ub);
                  break;
               case LPX_FX:
                  xfprintf(fp, " %13.6g %13s", lb, "=");
                  break;
               default:
                  xassert(typx != typx);
            }
            /* end of line */
            xfprintf(fp, "\n");
         }
      }
      xfprintf(fp, "\n");
#if 1
      if (lpx_mip_status(lp) != LPX_I_UNDEF)
      {  int m = lpx_get_num_rows(lp);
         LPXKKT kkt;
         xfprintf(fp, "Integer feasibility conditions:\n\n");
         lpx_check_int(lp, &kkt);
         xfprintf(fp, "INT.PE: max.abs.err. = %.2e on row %d\n",
            kkt.pe_ae_max, kkt.pe_ae_row);
         xfprintf(fp, "        max.rel.err. = %.2e on row %d\n",
            kkt.pe_re_max, kkt.pe_re_row);
         switch (kkt.pe_quality)
         {  case 'H':
               xfprintf(fp, "        High quality\n");
               break;
            case 'M':
               xfprintf(fp, "        Medium quality\n");
               break;
            case 'L':
               xfprintf(fp, "        Low quality\n");
               break;
            default:
               xfprintf(fp, "        SOLUTION IS WRONG\n");
               break;
         }
         xfprintf(fp, "\n");
         xfprintf(fp, "INT.PB: max.abs.err. = %.2e on %s %d\n",
            kkt.pb_ae_max, kkt.pb_ae_ind <= m ? "row" : "column",
            kkt.pb_ae_ind <= m ? kkt.pb_ae_ind : kkt.pb_ae_ind - m);
         xfprintf(fp, "        max.rel.err. = %.2e on %s %d\n",
            kkt.pb_re_max, kkt.pb_re_ind <= m ? "row" : "column",
            kkt.pb_re_ind <= m ? kkt.pb_re_ind : kkt.pb_re_ind - m);
         switch (kkt.pb_quality)
         {  case 'H':
               xfprintf(fp, "        High quality\n");
               break;
            case 'M':
               xfprintf(fp, "        Medium quality\n");
               break;
            case 'L':
               xfprintf(fp, "        Low quality\n");
               break;
            default:
               xfprintf(fp, "        SOLUTION IS INFEASIBLE\n");
               break;
         }
         xfprintf(fp, "\n");
      }
#endif
      xfprintf(fp, "End of output\n");
      xfflush(fp);
      if (xferror(fp))
      {  xprintf("lpx_print_mip: can't write to `%s' - %s\n", fname,
            strerror(errno));
         goto fail;
      }
      xfclose(fp);
      return 0;
fail: if (fp != NULL) xfclose(fp);
      return 1;
}
Exemple #5
0
int lpx_print_sens_bnds(LPX *lp, char *fname)
{     FILE *fp = NULL;
      int what, round;
      print("lpx_print_sens_bnds: writing LP problem solution bounds to"
         " `%s'...", fname);
#if 1
      /* added by mao */
      /* this routine needs factorization of the current basis matrix
         which, however, does not exist if the basic solution was
         obtained by the lp presolver; therefore we should warm up the
         basis to be sure that the factorization is valid (note that if
         the factorization exists, lpx_warm_up does nothing) */
      lpx_warm_up(lp);
#endif
#if 0 /* 21/XII-2003 by mao */
      if (lp->b_stat == LPX_B_UNDEF)
#else
      if (!lpx_is_b_avail(lp))
#endif
      {  print("lpx_print_sens_bnds: basis information not available (m"
            "ay be a presolve issue)");
         goto fail;
      }
      fp = ufopen(fname, "w");
      if (fp == NULL)
      {  print("lpx_print_sens_bnds: can't create `%s' - %s", fname,
            strerror(errno));
         goto fail;
      }
      /* problem name */
      {  char *name;
         name = lpx_get_prob_name(lp);
         if (name == NULL) name = "";
         fprintf(fp, "%-12s%s\n", "Problem:", name);
      }
      /* number of rows (auxiliary variables) */
      {  int nr;
         nr = lpx_get_num_rows(lp);
         fprintf(fp, "%-12s%d\n", "Rows:", nr);
      }
      /* number of columns (structural variables) */
      {  int nc;
         nc = lpx_get_num_cols(lp);
         fprintf(fp, "%-12s%d\n", "Columns:", nc);
      }
      /* number of non-zeros (constraint coefficients) */
      {  int nz;
         nz = lpx_get_num_nz(lp);
         fprintf(fp, "%-12s%d\n", "Non-zeros:", nz);
      }
      /* solution status */
      {  int status;
         status = lpx_get_status(lp);
         fprintf(fp, "%-12s%s\n", "Status:",
            status == LPX_OPT    ? "OPTIMAL" :
            status == LPX_FEAS   ? "FEASIBLE" :
            status == LPX_INFEAS ? "INFEASIBLE (INTERMEDIATE)" :
            status == LPX_NOFEAS ? "INFEASIBLE (FINAL)" :
            status == LPX_UNBND  ? "UNBOUNDED" :
            status == LPX_UNDEF  ? "UNDEFINED" : "???");
      }
      /* explanation/warning */
      {  fprintf(fp, "\nExplanation:  This file presents amounts by whi"
            "ch objective coefficients,\n");
         fprintf(fp, "constraint bounds, and variable bounds may be cha"
            "nged in the original problem\n");
         fprintf(fp, "while the optimal basis remains the same.  Note t"
            "hat the optimal solution\n");
         fprintf(fp, "and objective value may change even though the ba"
            "sis remains the same.\n");
         fprintf(fp, "These bounds assume that all parameters remain fi"
            "xed except the one in\n");
         fprintf(fp, "question.  If more than one parameter is changed,"
            " it is possible for the\n");
         fprintf(fp, "optimal basis to change even though each paramete"
            "r stays within its bounds.\n");
         fprintf(fp, "For more details, consult a text on linear progra"
            "mming.\n");
      }
      /* Sensitivity ranges if solution was optimal */
      {  int status;
         status = lpx_get_status(lp);
         if (status == LPX_OPT)
         {  int i,j,k,m,n;
            int dir;
            double max_inc, max_dec;
            int *index;
            double *val;
            fprintf(fp, "\nObjective Coefficient Analysis\n");
            fprintf(fp, "   No.  Column name St    Value       Max incr"
               "ease  Max decrease\n");
            fprintf(fp, "------ ------------ -- ------------- ---------"
               "---- ------------- \n");
            n = lpx_get_num_cols(lp);
            m = lpx_get_num_rows(lp);
            dir = lpx_get_obj_dir(lp);
            /* allocate memory for index and val arrays */
            index = ucalloc(1+n+m, sizeof(int));
            val   = ucalloc(1+n+m, sizeof(double));
            for (j = 1; j <= n; j++)
            {  char *name;
               int typx, tagx;
               double lb, ub, vx, dx;
               name = lpx_get_col_name(lp, j);
               if (name == NULL) name = "";
               lpx_get_col_bnds(lp, j, &typx, &lb, &ub);
#if 0 /* 21/XII-2003 by mao */
               round = lp->round, lp->round = 1;
               lpx_get_col_info(lp, j, &tagx, &vx, &dx);
               lp->round = round;
#else
               round = lpx_get_int_parm(lp, LPX_K_ROUND);
               lpx_set_int_parm(lp, LPX_K_ROUND, 1);
               lpx_get_col_info(lp, j, &tagx, &vx, &dx);
               lpx_set_int_parm(lp, LPX_K_ROUND, round);
#endif
               /* row/column ordinal number */
               fprintf(fp, "%6d ", j);
               /* row column/name */
               if (strlen(name) <= 12)
                  fprintf(fp, "%-12s ", name);
               else
                  fprintf(fp, "%s\n%20s", name, "");
               /* row/column status */
               fprintf(fp, "%s ",
                  tagx == LPX_BS ? "B " :
                  tagx == LPX_NL ? "NL" :
                  tagx == LPX_NU ? "NU" :
                  tagx == LPX_NF ? "NF" :
                  tagx == LPX_NS ? "NS" : "??");
               /* objective coefficient */
               fprintf(fp, "%13.6g ", lpx_get_obj_coef(lp, j));
               if (tagx == LPX_NL)
               {  if (dir==LPX_MIN)
                  {  /* reduced cost must be positive */
                     max_inc = DBL_MAX; /* really represents infinity */
                     max_dec = dx;
                  }
                  else
                  {  /* reduced cost must be negative */
                     max_inc = -dx;
                     max_dec = DBL_MAX; /* means infinity */
                  }
               }
               if (tagx == LPX_NU)
               {  if (dir==LPX_MIN)
                  {  /* reduced cost must be negative */
                     max_inc = -dx;
                     max_dec = DBL_MAX;
                  }
                  else
                  {  max_inc = DBL_MAX;
                     max_dec = dx;
                  }
               }
               if (tagx == LPX_NF)
               {  /* can't change nonbasic free variables' cost */
                  max_inc = 0.0;
                  max_dec = 0.0;
               }
               if (tagx == LPX_NS)
               {  /* doesn't matter what happens to the cost */
                  max_inc = DBL_MAX;
                  max_dec = DBL_MAX;
               }
               if (tagx == LPX_BS)
               {  int len;
                  /* We need to see how this objective coefficient
                     affects reduced costs of other variables */
                  len = lpx_eval_tab_row(lp, m+j, index, val);
                  max_inc = DBL_MAX;
                  max_dec = DBL_MAX;
                  for (i = 1; i <= len; i++)
                  {  /*int stat;*/
                     int tagx2;
                     double vx2, dx2;
                     double delta;
                     if (index[i]>m)
                        lpx_get_col_info(lp, index[i]-m, &tagx2, &vx2,
                           &dx2);
                     else
                        lpx_get_row_info(lp, index[i], &tagx2, &vx2,
                           &dx2);
                     if (tagx2 == LPX_NL)
                     {  if (val[i] != 0.0)
                        {  delta = dx2 / val[i];
                           if (delta < 0 && -delta < max_inc)
                              max_inc = -delta;
                           else if (delta >0 && delta < max_dec)
                              max_dec = delta;
                        }
                     }
                     if (tagx2 == LPX_NU)
                     {  if (val[i] != 0.0)
                        {  delta = dx2 / val[i];
                           if (delta < 0 && -delta < max_inc)
                              max_inc = -delta;
                           else if (delta > 0 && delta < max_dec)
                              max_dec = delta;
                        }
                     }
                     if (tagx2 == LPX_NF)
                     {  if (val[i] != 0.0)
                        {  max_inc = 0.0;
                           max_dec = 0.0;
                        }
                     }
                  }
               }
               if (max_inc == -0.0) max_inc = 0.0;
               if (max_dec == -0.0) max_dec = 0.0;
               if (max_inc == DBL_MAX)
                  fprintf(fp, "%13s ", "infinity");
               else if (max_inc < 1.0e-12 && max_inc > 0)
                  fprintf(fp, "%13s ", "< eps");
               else
                  fprintf(fp, "%13.6g ", max_inc);
               if (max_dec == DBL_MAX)
                  fprintf(fp, "%13s ", "infinity");
               else if (max_dec < 1.0e-12 && max_dec > 0)
                  fprintf(fp, "%13s ", "< eps");
               else
                  fprintf(fp, "%13.6g ", max_dec);
               fprintf(fp, "\n");
            }
            for (what = 1; what <= 2; what++)
            {  int ij, mn;
               fprintf(fp, "\n");
               fprintf(fp, "%s Analysis\n",
                  what==1? "Constraint Bounds":"Variable Bounds");
               fprintf(fp, "   No. %12s St    Value       Max increase "
                  " Max decrease\n",
                  what==1 ? " Row name":"Column name");
               fprintf(fp, "------ ------------ -- ------------- ------"
                  "------- ------------- \n");
               mn = what==1 ? m : n;
               for (ij = 1; ij <= mn; ij++)
               {  char *name;
                  int typx, tagx;
                  double lb, ub, vx, dx;
                  if (what==1)
                     name = lpx_get_row_name(lp, ij);
                  else
                     name = lpx_get_col_name(lp, ij);
                  if (name == NULL) name = "";
#if 0 /* 21/XII-2003 by mao */
                  if (what==1)
                  {  lpx_get_row_bnds(lp, ij, &typx, &lb, &ub);
                     round = lp->round, lp->round = 1;
                     lpx_get_row_info(lp, ij, &tagx, &vx, &dx);
                     lp->round = round;
                  }
                  else
                  {  lpx_get_col_bnds(lp, ij, &typx, &lb, &ub);
                     round = lp->round, lp->round = 1;
                     lpx_get_col_info(lp, ij, &tagx, &vx, &dx);
                     lp->round = round;
                  }
#else
                  round = lpx_get_int_parm(lp, LPX_K_ROUND);
                  lpx_set_int_parm(lp, LPX_K_ROUND, 1);
                  if (what==1)
                  {  lpx_get_row_bnds(lp, ij, &typx, &lb, &ub);
                     lpx_get_row_info(lp, ij, &tagx, &vx, &dx);
                  }
                  else
                  {  lpx_get_col_bnds(lp, ij, &typx, &lb, &ub);
                     lpx_get_col_info(lp, ij, &tagx, &vx, &dx);
                  }
                  lpx_set_int_parm(lp, LPX_K_ROUND, round);
#endif
                  /* row/column ordinal number */
                  fprintf(fp, "%6d ", ij);
                  /* row column/name */
                  if (strlen(name) <= 12)
                     fprintf(fp, "%-12s ", name);
                  else
                     fprintf(fp, "%s\n%20s", name, "");
                  /* row/column status */
                  fprintf(fp, "%s ",
                     tagx == LPX_BS ? "B " :
                     tagx == LPX_NL ? "NL" :
                     tagx == LPX_NU ? "NU" :
                     tagx == LPX_NF ? "NF" :
                     tagx == LPX_NS ? "NS" : "??");
                  fprintf(fp, "\n");
                  /* first check lower bound */
                  if (typx == LPX_LO || typx == LPX_DB ||
                      typx == LPX_FX)
                  {  int at_lower;
                     at_lower = 0;
                     if (tagx == LPX_BS || tagx == LPX_NU)
                     {  max_inc = vx - lb;
                        max_dec = DBL_MAX;
                     }
                     if (tagx == LPX_NS)
                     {  max_inc = 0.0;
                        max_dec = 0.0;
                        if (dir == LPX_MIN && dx > 0) at_lower = 1;
                        if (dir == LPX_MAX && dx < 0) at_lower = 1;
                     }
                     if (tagx == LPX_NL || at_lower == 1)
                     {  int len;
                        /* we have to see how it affects basic
                           variables */
                        len = lpx_eval_tab_col(lp, what==1?ij:ij+m,
                           index, val);
                        k = lpx_prim_ratio_test(lp, len, index, val, 1,
                           10e-7);
                        max_inc = DBL_MAX;
                        if (k != 0)
                        {  /*int stat;*/
                           int tagx2, typx2;
                           double vx2, dx2, lb2, ub2;
                           /*double delta;*/
                           double alpha;
                           int l;
                           for (l = 1; l <= len; l++)
                              if (index[l] == k) alpha = val[l];
                           if (k>m)
                           {  lpx_get_col_info(lp, k-m, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_col_bnds(lp, k-m, &typx2, &lb2,
                                 &ub2);
                           }
                           else
                           {  lpx_get_row_info(lp, k, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_row_bnds(lp, k, &typx2, &lb2,
                                 &ub2);
                           }
                           /* Check which direction;
                              remember this is upper bound */
                           if (alpha > 0)
                              max_inc = (ub2 - vx2)/ alpha;
                           else
                              max_inc = (lb2 - vx2)/ alpha;
                        }
                        /* now check lower bound */
                        k = lpx_prim_ratio_test(lp, len, index, val, -1,
                           10e-7);
                        max_dec = DBL_MAX;
                        if (k != 0)
                        {  /*int stat;*/
                           int tagx2, typx2;
                           double vx2, dx2, lb2, ub2;
                           /*double delta;*/
                           double alpha;
                           int l;
                           for (l = 1; l <= len; l++)
                              if (index[l] == k) alpha = val[l];
                           if (k>m)
                           {  lpx_get_col_info(lp, k-m, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_col_bnds(lp, k-m, &typx2, &lb2,
                                 &ub2);
                           }
                           else
                           {  lpx_get_row_info(lp, k, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_row_bnds(lp, k, &typx2, &lb2,
                                 &ub2);
                           }
                           /* Check which direction;
                              remember this is lower bound */
                           if (alpha > 0)
                              max_dec = (vx2 - lb2)/ alpha;
                           else
                              max_dec = (vx2 - ub2)/ alpha;
                        }
                     }
                     /* bound */
                     if (typx == LPX_DB || typx == LPX_FX)
                     {  if (max_inc > ub - lb)
                           max_inc = ub - lb;
                     }
                     fprintf(fp, "         LOWER         %13.6g ", lb);
                     if (max_inc == -0.0) max_inc = 0.0;
                     if (max_dec == -0.0) max_dec = 0.0;
                     if (max_inc == DBL_MAX)
                        fprintf(fp, "%13s ", "infinity");
                     else if (max_inc < 1.0e-12 && max_inc > 0)
                        fprintf(fp, "%13s ", "< eps");
                     else
                        fprintf(fp, "%13.6g ", max_inc);
                     if (max_dec == DBL_MAX)
                        fprintf(fp, "%13s ", "infinity");
                     else if (max_dec < 1.0e-12 && max_dec > 0)
                        fprintf(fp, "%13s ", "< eps");
                     else
                        fprintf(fp, "%13.6g ", max_dec);
                     fprintf(fp, "\n");
                  }
                  /* now check upper bound */
                  if (typx == LPX_UP || typx == LPX_DB ||
                     typx == LPX_FX)
                  {  int at_upper;
                     at_upper = 0;
                     if (tagx == LPX_BS || tagx == LPX_NL)
                     {  max_inc = DBL_MAX;
                        max_dec = ub - vx;
                     }
                     if (tagx == LPX_NS)
                     {  max_inc = 0.0;
                        max_dec = 0.0;
                        if (dir == LPX_MIN && dx < 0) at_upper = 1;
                        if (dir == LPX_MAX && dx > 0) at_upper = 1;
                     }
                     if (tagx == LPX_NU || at_upper == 1)
                     {  int len;
                        /* we have to see how it affects basic
                           variables */
                        len = lpx_eval_tab_col(lp, what==1?ij:ij+m,
                           index, val);
                        k = lpx_prim_ratio_test(lp, len, index, val, 1,
                           10e-7);
                        max_inc = DBL_MAX;
                        if (k != 0)
                        {  /*int stat;*/
                           int tagx2, typx2;
                           double vx2, dx2, lb2, ub2;
                           /*double delta;*/
                           double alpha;
                           int l;
                           for (l = 1; l <= len; l++)
                              if (index[l] == k) alpha = val[l];
                           if (k>m)
                           {  lpx_get_col_info(lp, k-m, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_col_bnds(lp, k-m, &typx2, &lb2,
                                 &ub2);
                           }
                           else
                           {  lpx_get_row_info(lp, k, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_row_bnds(lp, k, &typx2, &lb2,
                                 &ub2);
                           }
                           /* Check which direction;
                              remember this is upper bound */
                           if (alpha > 0)
                              max_inc = (ub2 - vx2)/ alpha;
                           else
                              max_inc = (lb2 - vx2)/ alpha;
                        }
                        /* now check lower bound */
                        k = lpx_prim_ratio_test(lp, len, index, val, -1,
                           10e-7);
                        max_dec = DBL_MAX;
                        if (k != 0)
                        {  /*int stat;*/
                           int tagx2, typx2;
                           double vx2, dx2, lb2, ub2;
                           /*double delta;*/
                           double alpha;
                           int l;
                           for (l = 1; l <= len; l++)
                              if (index[l] == k) alpha = val[l];
                           if (k>m)
                           {  lpx_get_col_info(lp, k-m, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_col_bnds(lp, k-m, &typx2, &lb2,
                                 &ub2);
                           }
                           else
                           {  lpx_get_row_info(lp, k, &tagx2, &vx2,
                                 &dx2);
                              lpx_get_row_bnds(lp, k, &typx2, &lb2,
                                 &ub2);
                           }
                           /* Check which direction;
                              remember this is lower bound */
                           if (alpha > 0)
                              max_dec = (vx2 - lb2)/ alpha;
                           else
                              max_dec = (vx2 - ub2)/ alpha;
                        }
                     }
                     if (typx == LPX_DB || typx == LPX_FX)
                     {  if (max_dec > ub - lb)
                           max_dec = ub - lb;
                     }
                     /* bound */
                     fprintf(fp, "         UPPER         %13.6g ", ub);
                     if (max_inc == -0.0) max_inc = 0.0;
                     if (max_dec == -0.0) max_dec = 0.0;
                     if (max_inc == DBL_MAX)
                        fprintf(fp, "%13s ", "infinity");
                     else if (max_inc < 1.0e-12 && max_inc > 0)
                        fprintf(fp, "%13s ", "< eps");
                     else
                        fprintf(fp, "%13.6g ", max_inc);
                     if (max_dec == DBL_MAX)
                        fprintf(fp, "%13s ", "infinity");
                     else if (max_dec < 1.0e-12 && max_dec > 0)
                        fprintf(fp, "%13s ", "< eps");
                     else
                        fprintf(fp, "%13.6g ", max_dec);
                     fprintf(fp, "\n");
                  }
               }
            }
            /* free the memory we used */
            ufree(index);
            ufree(val);
         }
         else fprintf(fp, "No range information since solution is not o"
            "ptimal.\n");
      }
      fprintf(fp, "\n");
      fprintf(fp, "End of output\n");
      fflush(fp);
      if (ferror(fp))
      {  print("lpx_print_sens_bnds: can't write to `%s' - %s", fname,
            strerror(errno));
         goto fail;
      }
      ufclose(fp);
      return 0;
fail: if (fp != NULL) ufclose(fp);
      return 1;
}