simplex-glpk with modified glpk for fpgaHEADmaster

1 files changed, 730 insertions, 0 deletions

diff --git a/glpk-5.0/examples/tsp/tsplib.c b/glpk-5.0/examples/tsp/tsplib.c
new file mode 100644
index 0000000..189ff8a
--- /dev/null
+++ b/glpk-5.0/examples/tsp/tsplib.c
@@ -0,0 +1,730 @@
+/* tsplib.c */
+
+/* Written by Andrew Makhorin <mao@gnu.org>, October 2015. */
+
+#include <ctype.h>
+#include <errno.h>
+#include <float.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "misc.h"
+#include "tsplib.h"
+
+/***********************************************************************
+*  NAME
+*
+*  tsp_read_data - read TSP instance data
+*
+*  SYNOPSIS
+*
+*  #include "tsplib.h"
+*  TSP *tsp_read_data(const char *fname);
+*
+*  DESCRIPTION
+*
+*  The routine tsp_read_data reads a TSP (or related problem) instance
+*  data from a text file, whose name is the character string fname.
+*
+*  For detailed description of the format recognized by the routine see
+*  the report: G.Reinelt, TSPLIB 95.
+*
+*  RETURNS
+*
+*  If no error occurred, the routine tsp_read_data returns a pointer to
+*  the TSP instance data block, which contains loaded data. In the case
+*  of error the routine prints an error message and returns NULL. */
+
+struct csa
+{     /* common storage area used by the routine tsp_read_data */
+      const char *fname;
+      /* name of the input text file */
+      FILE *fp;
+      /* stream assigned to the input text file */
+      int seqn;
+      /* line sequential number */
+      int c;
+      /* current character */
+      char token[255+1];
+      /* current token */
+};
+
+static int get_char(struct csa *csa)
+{     csa->c = fgetc(csa->fp);
+      if (ferror(csa->fp))
+      {  xprintf("%s:%d: read error - %s\n", csa->fname, csa->seqn,
+            strerror(errno));
+         return 1;
+      }
+      if (feof(csa->fp))
+         csa->c = EOF;
+      else if (csa->c == '\n')
+         csa->seqn++;
+      else if (isspace(csa->c))
+         csa->c = ' ';
+      else if (iscntrl(csa->c))
+      {  xprintf("%s:%d: invalid control character 0x%02X\n",
+            csa->fname, csa->seqn, csa->c);
+         return 1;
+      }
+      return 0;
+}
+
+static int skip_spaces(struct csa *csa, int across)
+{     while (csa->c == ' ' || (across && csa->c == '\n'))
+         if (get_char(csa)) return 1;
+      return 0;
+}
+
+static int scan_keyword(struct csa *csa)
+{     int len = 0;
+      if (skip_spaces(csa, 0))
+         return 1;
+      if (csa->c == EOF)
+      {  xprintf("%s:%d: warning: missing EOF inserted\n", csa->fname,
+            csa->seqn);
+         strcpy(csa->token, "EOF");
+         return 0;
+      }
+      csa->token[0] = '\0';
+      while (isalnum(csa->c) || csa->c == '_')
+      {  if (len == 31)
+         {  xprintf("%s:%d: keyword '%s...' too long\n", csa->fname,
+               csa->seqn, csa->token);
+            return 1;
+         }
+         csa->token[len++] = (char)csa->c, csa->token[len] = '\0';
+         if (get_char(csa))
+            return 1;
+      }
+      if (len == 0)
+      {  xprintf("%s:%d: missing keyword\n", csa->fname, csa->seqn);
+         return 1;
+      }
+      return 0;
+}
+
+static int check_colon(struct csa *csa)
+{     if (skip_spaces(csa, 0))
+         return 1;
+      if (csa->c != ':')
+      {  xprintf("%s:%d: missing colon after '%s'\n", csa->fname,
+            csa->seqn, csa->token);
+         return 1;
+      }
+      if (get_char(csa))
+         return 1;
+      return 0;
+}
+
+static int scan_token(struct csa *csa, int across)
+{     int len = 0;
+      if (skip_spaces(csa, across))
+         return 1;
+      csa->token[0] = '\0';
+      while (!(csa->c == EOF || csa->c == '\n' || csa->c == ' '))
+      {  if (len == 255)
+         {  csa->token[31] = '\0';
+            xprintf("%s:%d: token '%s...' too long\n", csa->fname,
+               csa->seqn, csa->token);
+            return 1;
+         }
+         csa->token[len++] = (char)csa->c, csa->token[len] = '\0';
+         if (get_char(csa))
+            return 1;
+      }
+      return 0;
+}
+
+static int check_newline(struct csa *csa)
+{     if (skip_spaces(csa, 0))
+         return 1;
+      if (!(csa->c == EOF || csa->c == '\n'))
+      {  xprintf("%s:%d: extra symbols detected\n", csa->fname,
+            csa->seqn);
+         return 1;
+      }
+      if (get_char(csa))
+         return 1;
+      return 0;
+}
+
+static int scan_comment(struct csa *csa)
+{     int len = 0;
+      if (skip_spaces(csa, 0))
+         return 1;
+      csa->token[0] = '\0';
+      while (!(csa->c == EOF || csa->c == '\n'))
+      {  if (len == 255)
+         {  xprintf("%s:%d: comment too long\n", csa->fname, csa->seqn);
+            return 1;
+         }
+         csa->token[len++] = (char)csa->c, csa->token[len] = '\0';
+         if (get_char(csa))
+            return 1;
+      }
+      return 0;
+}
+
+static int scan_integer(struct csa *csa, int across, int *val)
+{     if (scan_token(csa, across))
+         return 1;
+      if (strlen(csa->token) == 0)
+      {  xprintf("%s:%d: missing integer\n", csa->fname, csa->seqn);
+         return 1;
+      }
+      if (str2int(csa->token, val))
+      {  xprintf("%s:%d: integer '%s' invalid\n", csa->fname, csa->seqn,
+            csa->token);
+         return 1;
+      }
+      return 0;
+}
+
+static int scan_number(struct csa *csa, int across, double *val)
+{     if (scan_token(csa, across))
+         return 1;
+      if (strlen(csa->token) == 0)
+      {  xprintf("%s:%d: missing number\n", csa->fname, csa->seqn);
+         return 1;
+      }
+      if (str2num(csa->token, val))
+      {  xprintf("%s:%d: number '%s' invalid\n", csa->fname, csa->seqn,
+            csa->token);
+         return 1;
+      }
+      return 0;
+}
+
+TSP *tsp_read_data(const char *fname)
+{     struct csa _dsa, *csa = &_dsa;
+      TSP *tsp = NULL;
+      csa->fname = fname;
+      xprintf("Reading TSP data from '%s'...\n", csa->fname);
+      csa->fp = fopen(csa->fname, "r");
+      if (csa->fp == NULL)
+      {  xprintf("Unable to open '%s' - %s\n", csa->fname,
+            strerror(errno));
+         goto fail;
+      }
+      tsp = xalloc(1, sizeof(TSP));
+      tsp->name = NULL;
+      tsp->type = TSP_UNDEF;
+      tsp->comment = NULL;
+      tsp->dimension = 0;
+      tsp->edge_weight_type = TSP_UNDEF;
+      tsp->edge_weight_format = TSP_UNDEF;
+      tsp->display_data_type = TSP_UNDEF;
+      tsp->node_x_coord = NULL;
+      tsp->node_y_coord = NULL;
+      tsp->dply_x_coord = NULL;
+      tsp->dply_y_coord = NULL;
+      tsp->tour = NULL;
+      tsp->edge_weight = NULL;
+      csa->seqn = 1;
+      if (get_char(csa))
+         goto fail;
+loop: if (scan_keyword(csa))
+         goto fail;
+      if (strcmp(csa->token, "NAME") == 0)
+      {  if (tsp->name != NULL)
+         {  xprintf("%s:%d: NAME entry multiply defined\n", csa->fname,
+               csa->seqn);
+            goto fail;
+         }
+         if (check_colon(csa))
+            goto fail;
+         if (scan_token(csa, 0))
+            goto fail;
+         if (strlen(csa->token) == 0)
+         {  xprintf("%s:%d: NAME entry incomplete\n", csa->fname,
+               csa->seqn);
+            goto fail;
+         }
+         tsp->name = xalloc(strlen(csa->token)+1, sizeof(char));
+         strcpy(tsp->name, csa->token);
+         xprintf("NAME: %s\n", tsp->name);
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "TYPE") == 0)
+      {  if (tsp->type != TSP_UNDEF)
+         {  xprintf("%s:%d: TYPE entry multiply defined\n", csa->fname,
+               csa->seqn);
+            goto fail;
+         }
+         if (check_colon(csa))
+            goto fail;
+         if (scan_keyword(csa))
+            goto fail;
+         if (strcmp(csa->token, "TSP") == 0)
+            tsp->type = TSP_TSP;
+         else if (strcmp(csa->token, "ATSP") == 0)
+            tsp->type = TSP_ATSP;
+         else if (strcmp(csa->token, "TOUR") == 0)
+            tsp->type = TSP_TOUR;
+         else
+         {  xprintf("%s:%d: data type '%s' not recognized\n",
+               csa->fname, csa->seqn, csa->token);
+            goto fail;
+         }
+         xprintf("TYPE: %s\n", csa->token);
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "COMMENT") == 0)
+      {  if (check_colon(csa))
+            goto fail;
+         if (scan_comment(csa))
+            goto fail;
+         xprintf("COMMENT: %s\n", csa->token);
+         if (tsp->comment == NULL)
+         {  tsp->comment = xalloc(strlen(csa->token)+1, sizeof(char));
+            strcpy(tsp->comment, csa->token);
+         }
+         else
+         {  xprintf("%s:%d: warning: extra COMMENT entry ignored\n",
+               csa->fname, csa->seqn);
+         }
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "DIMENSION") == 0)
+      {  if (tsp->dimension != 0)
+         {  xprintf("%s:%d: DIMENSION entry multiply defined\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_colon(csa))
+            goto fail;
+         if (scan_integer(csa, 0, &tsp->dimension))
+            goto fail;
+         if (tsp->dimension < 1)
+         {  xprintf("%s:%d: invalid dimension\n", csa->fname,
+               csa->seqn);
+            goto fail;
+         }
+         xprintf("DIMENSION: %d\n", tsp->dimension);
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "EDGE_WEIGHT_TYPE") == 0)
+      {  if (tsp->edge_weight_type != TSP_UNDEF)
+         {  xprintf("%s:%d: EDGE_WEIGHT_TYPE entry multiply defined\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_colon(csa))
+            goto fail;
+         if (scan_keyword(csa))
+            goto fail;
+         if (strcmp(csa->token, "GEO") == 0)
+            tsp->edge_weight_type = TSP_GEO;
+         else if (strcmp(csa->token, "EUC_2D") == 0)
+            tsp->edge_weight_type = TSP_EUC_2D;
+         else if (strcmp(csa->token, "ATT") == 0)
+            tsp->edge_weight_type = TSP_ATT;
+         else if (strcmp(csa->token, "EXPLICIT") == 0)
+            tsp->edge_weight_type = TSP_EXPLICIT;
+         else if (strcmp(csa->token, "CEIL_2D") == 0)
+            tsp->edge_weight_type = TSP_CEIL_2D;
+         else
+         {  xprintf("%s:%d: edge weight type '%s' not recognized\n",
+               csa->fname, csa->seqn, csa->token);
+            goto fail;
+         }
+         xprintf("EDGE_WEIGHT_TYPE: %s\n", csa->token);
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "EDGE_WEIGHT_FORMAT") == 0)
+      {  if (tsp->edge_weight_format != TSP_UNDEF)
+         {  xprintf("%s:%d: EDGE_WEIGHT_FORMAT entry multiply defined\n"
+               , csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_colon(csa))
+            goto fail;
+         if (scan_keyword(csa))
+            goto fail;
+         if (strcmp(csa->token, "UPPER_ROW") == 0)
+            tsp->edge_weight_format = TSP_UPPER_ROW;
+         else if (strcmp(csa->token, "FULL_MATRIX") == 0)
+            tsp->edge_weight_format = TSP_FULL_MATRIX;
+         else if (strcmp(csa->token, "FUNCTION") == 0)
+            tsp->edge_weight_format = TSP_FUNCTION;
+         else if (strcmp(csa->token, "LOWER_DIAG_ROW") == 0)
+            tsp->edge_weight_format = TSP_LOWER_DIAG_ROW;
+         else
+         {  xprintf("%s:%d: edge weight format '%s' not recognized\n",
+               csa->fname, csa->seqn, csa->token);
+            goto fail;
+         }
+         xprintf("EDGE_WEIGHT_FORMAT: %s\n", csa->token);
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "DISPLAY_DATA_TYPE") == 0)
+      {  if (tsp->display_data_type != TSP_UNDEF)
+         {  xprintf("%s:%d: DISPLAY_DATA_TYPE entry multiply defined\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_colon(csa))
+            goto fail;
+         if (scan_keyword(csa))
+            goto fail;
+         if (strcmp(csa->token, "COORD_DISPLAY") == 0)
+            tsp->display_data_type = TSP_COORD_DISPLAY;
+         else if (strcmp(csa->token, "TWOD_DISPLAY") == 0)
+            tsp->display_data_type = TSP_TWOD_DISPLAY;
+         else
+         {  xprintf("%s:%d: display data type '%s' not recognized\n",
+               csa->fname, csa->seqn, csa->token);
+            goto fail;
+         }
+         xprintf("DISPLAY_DATA_TYPE: %s\n", csa->token);
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "NODE_COORD_SECTION") == 0)
+      {  int n = tsp->dimension, k, node;
+         if (n == 0)
+         {  xprintf("%s:%d: DIMENSION entry not specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (tsp->node_x_coord != NULL)
+         {  xprintf("%s:%d: NODE_COORD_SECTION multiply specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_newline(csa))
+            goto fail;
+         tsp->node_x_coord = xalloc(1+n, sizeof(double));
+         tsp->node_y_coord = xalloc(1+n, sizeof(double));
+         for (node = 1; node <= n; node++)
+            tsp->node_x_coord[node] = tsp->node_y_coord[node] = DBL_MAX;
+         for (k = 1; k <= n; k++)
+         {  if (scan_integer(csa, 0, &node))
+               goto fail;
+            if (!(1 <= node && node <= n))
+            {  xprintf("%s:%d: invalid node number %d\n", csa->fname,
+                  csa->seqn, node);
+               goto fail;
+            }
+            if (tsp->node_x_coord[node] != DBL_MAX)
+            {  xprintf("%s:%d: node number %d multiply specified\n",
+                  csa->fname, csa->seqn, node);
+               goto fail;
+            }
+            if (scan_number(csa, 0, &tsp->node_x_coord[node]))
+               goto fail;
+            if (scan_number(csa, 0, &tsp->node_y_coord[node]))
+               goto fail;
+            if (check_newline(csa))
+               goto fail;
+         }
+      }
+      else if (strcmp(csa->token, "DISPLAY_DATA_SECTION") == 0)
+      {  int n = tsp->dimension, k, node;
+         if (n == 0)
+         {  xprintf("%s:%d: DIMENSION entry not specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (tsp->dply_x_coord != NULL)
+         {  xprintf("%s:%d: DISPLAY_DATA_SECTION multiply specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_newline(csa))
+            goto fail;
+         tsp->dply_x_coord = xalloc(1+n, sizeof(double));
+         tsp->dply_y_coord = xalloc(1+n, sizeof(double));
+         for (node = 1; node <= n; node++)
+            tsp->dply_x_coord[node] = tsp->dply_y_coord[node] = DBL_MAX;
+         for (k = 1; k <= n; k++)
+         {  if (scan_integer(csa, 0, &node))
+               goto fail;
+            if (!(1 <= node && node <= n))
+            {  xprintf("%s:%d: invalid node number %d\n", csa->fname,
+                  csa->seqn, node);
+               goto fail;
+            }
+            if (tsp->dply_x_coord[node] != DBL_MAX)
+            {  xprintf("%s:%d: node number %d multiply specified\n",
+                  csa->fname, csa->seqn, node);
+               goto fail;
+            }
+            if (scan_number(csa, 0, &tsp->dply_x_coord[node]))
+               goto fail;
+            if (scan_number(csa, 0, &tsp->dply_y_coord[node]))
+               goto fail;
+            if (check_newline(csa))
+               goto fail;
+         }
+      }
+      else if (strcmp(csa->token, "TOUR_SECTION") == 0)
+      {  int n = tsp->dimension, k, node;
+         if (n == 0)
+         {  xprintf("%s:%d: DIMENSION entry not specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (tsp->tour != NULL)
+         {  xprintf("%s:%d: TOUR_SECTION multiply specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_newline(csa))
+            goto fail;
+         tsp->tour = xalloc(1+n, sizeof(int));
+         for (k = 1; k <= n; k++)
+         {  if (scan_integer(csa, 1, &node))
+               goto fail;
+            if (!(1 <= node && node <= n))
+            {  xprintf("%s:%d: invalid node number %d\n", csa->fname,
+                  csa->seqn, node);
+               goto fail;
+            }
+            tsp->tour[k] = node;
+         }
+         if (scan_integer(csa, 1, &node))
+            goto fail;
+         if (node != -1)
+         {  xprintf("%s:%d: extra node(s) detected\n", csa->fname,
+               csa->seqn);
+            goto fail;
+         }
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "EDGE_WEIGHT_SECTION") == 0)
+      {  int n = tsp->dimension, i, j, temp;
+         if (n == 0)
+         {  xprintf("%s:%d: DIMENSION entry not specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (tsp->edge_weight_format == TSP_UNDEF)
+         {  xprintf("%s:%d: EDGE_WEIGHT_FORMAT entry not specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (tsp->edge_weight != NULL)
+         {  xprintf("%s:%d: EDGE_WEIGHT_SECTION multiply specified\n",
+               csa->fname, csa->seqn);
+            goto fail;
+         }
+         if (check_newline(csa))
+            goto fail;
+         tsp->edge_weight = xalloc(1+n*n, sizeof(int));
+         switch (tsp->edge_weight_format)
+         {  case TSP_FULL_MATRIX:
+               for (i = 1; i <= n; i++)
+               {  for (j = 1; j <= n; j++)
+                  {  if (scan_integer(csa, 1, &temp))
+                        goto fail;
+                     tsp->edge_weight[(i - 1) * n + j] = temp;
+                  }
+               }
+               break;
+            case TSP_UPPER_ROW:
+               for (i = 1; i <= n; i++)
+               {  tsp->edge_weight[(i - 1) * n + i] = 0;
+                  for (j = i + 1; j <= n; j++)
+                  {  if (scan_integer(csa, 1, &temp))
+                        goto fail;
+                     tsp->edge_weight[(i - 1) * n + j] = temp;
+                     tsp->edge_weight[(j - 1) * n + i] = temp;
+                  }
+               }
+               break;
+            case TSP_LOWER_DIAG_ROW:
+               for (i = 1; i <= n; i++)
+               {  for (j = 1; j <= i; j++)
+                  {  if (scan_integer(csa, 1, &temp))
+                        goto fail;
+                     tsp->edge_weight[(i - 1) * n + j] = temp;
+                     tsp->edge_weight[(j - 1) * n + i] = temp;
+                  }
+               }
+               break;
+            default:
+               goto fail;
+         }
+         if (check_newline(csa))
+            goto fail;
+      }
+      else if (strcmp(csa->token, "EOF") == 0)
+      {  if (check_newline(csa))
+            goto fail;
+         goto done;
+      }
+      else
+      {  xprintf("%s:%d: keyword '%s' not recognized\n", csa->fname,
+            csa->seqn, csa->token);
+         goto fail;
+      }
+      goto loop;
+done: xprintf("%d lines were read\n", csa->seqn-1);
+      fclose(csa->fp);
+      return tsp;
+fail: if (tsp != NULL)
+      {  if (tsp->name != NULL)
+            xfree(tsp->name);
+         if (tsp->comment != NULL)
+            xfree(tsp->comment);
+         if (tsp->node_x_coord != NULL)
+            xfree(tsp->node_x_coord);
+         if (tsp->node_y_coord != NULL)
+            xfree(tsp->node_y_coord);
+         if (tsp->dply_x_coord != NULL)
+            xfree(tsp->dply_x_coord);
+         if (tsp->dply_y_coord != NULL)
+            xfree(tsp->dply_y_coord);
+         if (tsp->tour != NULL)
+            xfree(tsp->tour);
+         if (tsp->edge_weight != NULL)
+            xfree(tsp->edge_weight);
+         xfree(tsp);
+      }
+      if (csa->fp != NULL)
+         fclose(csa->fp);
+      return NULL;
+}
+
+/***********************************************************************
+*  NAME
+*
+*  tsp_distance - compute distance between two nodes
+*
+*  SYNOPSIS
+*
+*  #include "tsplib.h"
+*  int tsp_distance(TSP *tsp, int i, int j);
+*
+*  DESCRIPTION
+*
+*  The routine tsp_distance computes the distance between i-th and j-th
+*  nodes for the TSP instance, which tsp points to.
+*
+*  RETURNS
+*
+*  The routine tsp_distance returns the computed distance. */
+
+#define nint(x) ((int)((x) + 0.5))
+
+static double rad(double x)
+{     /* convert input coordinate to longitude/latitude, in radians */
+      double pi = 3.141592, deg, min;
+      deg = (int)x;
+      min = x - deg;
+      return pi * (deg + 5.0 * min / 3.0) / 180.0;
+}
+
+int tsp_distance(const TSP *tsp, int i, int j)
+{     int n = tsp->dimension, dij;
+      if (!(tsp->type == TSP_TSP || tsp->type == TSP_ATSP))
+         xerror("tsp_distance: invalid TSP instance\n");
+      if (!(1 <= i && i <= n && 1 <= j && j <= n))
+         xerror("tsp_distance: node number out of range\n");
+      switch (tsp->edge_weight_type)
+      {  case TSP_UNDEF:
+            xerror("tsp_distance: edge weight type not specified\n");
+         case TSP_EXPLICIT:
+            if (tsp->edge_weight == NULL)
+               xerror("tsp_distance: edge weights not specified\n");
+            dij = tsp->edge_weight[(i - 1) * n + j];
+            break;
+         case TSP_EUC_2D:
+            if (tsp->node_x_coord == NULL || tsp->node_y_coord == NULL)
+               xerror("tsp_distance: node coordinates not specified\n");
+            {  double xd, yd;
+               xd = tsp->node_x_coord[i] - tsp->node_x_coord[j];
+               yd = tsp->node_y_coord[i] - tsp->node_y_coord[j];
+               dij = nint(sqrt(xd * xd + yd * yd));
+            }
+            break;
+         case TSP_CEIL_2D:
+            if (tsp->node_x_coord == NULL || tsp->node_y_coord == NULL)
+               xerror("tsp_distance: node coordinates not specified\n");
+            {  double xd, yd;
+               xd = tsp->node_x_coord[i] - tsp->node_x_coord[j];
+               yd = tsp->node_y_coord[i] - tsp->node_y_coord[j];
+               dij = (int)ceil(sqrt(xd * xd + yd * yd));
+            }
+            break;
+         case TSP_GEO:
+            if (tsp->node_x_coord == NULL || tsp->node_y_coord == NULL)
+               xerror("tsp_distance: node coordinates not specified\n");
+            {  double rrr = 6378.388;
+               double latitude_i = rad(tsp->node_x_coord[i]);
+               double latitude_j = rad(tsp->node_x_coord[j]);
+               double longitude_i = rad(tsp->node_y_coord[i]);
+               double longitude_j = rad(tsp->node_y_coord[j]);
+               double q1 = cos(longitude_i - longitude_j);
+               double q2 = cos(latitude_i - latitude_j);
+               double q3 = cos(latitude_i + latitude_j);
+               dij = (int)(rrr * acos(0.5 * ((1.0 + q1) * q2 -
+                  (1.0 - q1) *q3)) + 1.0);
+            }
+            break;
+         case TSP_ATT:
+            if (tsp->node_x_coord == NULL || tsp->node_y_coord == NULL)
+               xerror("tsp_distance: node coordinates not specified\n");
+            {  int tij;
+               double xd, yd, rij;
+               xd = tsp->node_x_coord[i] - tsp->node_x_coord[j];
+               yd = tsp->node_y_coord[i] - tsp->node_y_coord[j];
+               rij = sqrt((xd * xd + yd * yd) / 10.0);
+               tij = nint(rij);
+               if (tij < rij) dij = tij + 1; else dij = tij;
+            }
+            break;
+         default:
+            xassert(tsp->edge_weight_type != tsp->edge_weight_type);
+      }
+      return dij;
+}
+
+/***********************************************************************
+*  NAME
+*
+*  tsp_free_data - free TSP instance data
+*
+*  SYNOPSIS
+*
+*  #include "tsplib.h"
+*  void tsp_free_data(TSP *tsp);
+*
+*  DESCRIPTION
+*
+*  The routine tsp_free_data frees all the memory allocated to the TSP
+*  instance data block, which the parameter tsp points to. */
+
+void tsp_free_data(TSP *tsp)
+{     if (tsp->name != NULL)
+         xfree(tsp->name);
+      if (tsp->comment != NULL)
+         xfree(tsp->comment);
+      if (tsp->node_x_coord != NULL)
+         xfree(tsp->node_x_coord);
+      if (tsp->node_y_coord != NULL)
+         xfree(tsp->node_y_coord);
+      if (tsp->dply_x_coord != NULL)
+         xfree(tsp->dply_x_coord);
+      if (tsp->dply_y_coord != NULL)
+         xfree(tsp->dply_y_coord);
+      if (tsp->tour != NULL)
+         xfree(tsp->tour);
+      if (tsp->edge_weight != NULL)
+         xfree(tsp->edge_weight);
+      xfree(tsp);
+      return;
+}
+
+/* eof */