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|
/* 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 */
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