#include <stdio.h>
#include <stdint.h>
#include <stdlib.h>
+#include <string.h>
+#include <assert.h>
#include <inttypes.h>
#include <publib.h>
+#include <glpk.h>
typedef uint32_t AdjWord;
#define PRADJ "08"PRIx32
static AdjWord adjall;
static double best;
+static glp_prob *best_prob;
+static AdjWord *best_adjmatrix;
+
+static unsigned printcounter;
+
+static AdjWord *xalloc_adjmatrix(void) {
+ return xmalloc(sizeof(*adjmatrix)*n);
+}
static void prep(void) {
adjall = ~((~(AdjWord)0) << m);
- adjmatrix = xmalloc(sizeof(*adjmatrix)*n);
+ adjmatrix = xalloc_adjmatrix();
+ glp_term_out(GLP_OFF);
}
static AdjWord one_adj_bit(int bitnum) {
- return (AdjWord)1 << j;
+ return (AdjWord)1 << bitnum;
}
static int count_set_adj_bits(AdjWord w) {
return total;
}
-static void optimise(void) {
- int i, totalfrags;
+static void optimise(int doprint) {
+ glp_prob *prob = 0;
+ int i, j, totalfrags;
+
+#define HAVE_PRINTED ({ \
+ if (!doprint) { doprint = 1; goto retry_with_print; } \
+ })
+ retry_with_print:
+#define PRINTF if (!doprint) ; else printf /* bodgy */
+
for (i=0, totalfrags=0; i<n; i++) {
int frags = count_set_adj_bits(adjmatrix[i]);
totalfrags += frags;
- printf("%"PRADJ" ", adjmatrix[i]);
+ PRINTF("%"PRADJ" ", adjmatrix[i]);
double maxminsize = (double)m / frags;
- if (maxminsize < best) {
- printf(" too fine\n");
- return;
+ if (maxminsize <= best) {
+ PRINTF(" too fine");
+ goto out;
}
}
* which we build up as we go.
*/
- glp_prob *prob = glp_create_prob();
+ prob = glp_create_prob();
- int Y_totals_i = glp_add_rows(prob, i);
- int Y_totals_j = glp_add_rows(prob, j);
+ int Y_totals_i = glp_add_rows(prob, n);
+ int Y_totals_j = glp_add_rows(prob, m);
int X_minimum = glp_add_cols(prob, 1);
- int rows = glp_get_num_rows(prob);
- int cols = glp_get_num_rows(cols);
+ {
int next_matrix_entry = 1; /* wtf GLPK! */
- int matrix_entries_size = next_matrix_entry + i + j + totalfrags*2;
+ int matrix_entries_size = next_matrix_entry + n + m + totalfrags*2;
double matrix_entries[matrix_entries_size];
int matrix_entries_XY[2][matrix_entries_size];
#define ADD_MATRIX_ENTRY(Y,X) ({ \
- assert(matrix_entries_size < next_matrix_entry); \
- matrix_entries_XY[0][next_matrix_entry] = X; \
- matrix_entries_XY[1][next_matrix_entry] = Y; \
+ assert(next_matrix_entry < matrix_entries_size); \
+ matrix_entries_XY[0][next_matrix_entry] = (X); \
+ matrix_entries_XY[1][next_matrix_entry] = (Y); \
matrix_entries[next_matrix_entry] = 0; \
next_matrix_entry++; \
})
/* \forall_i x_totals_i = m */
/* \forall_i x_totals_j = n */
- for (i=0; i<n; i++) glp_set_row_bounds(prob, Y_totals_i+i, GLP_FX, m,m);
- for (j=0; j<m; j++) glp_set_row_bounds(prob, Y_totals_j+j, GLP_FX, n,n);
+ for (i=0; i<n; i++) glp_set_row_bnds(prob, Y_totals_i+i, GLP_FX, m,m);
+ for (j=0; j<m; j++) glp_set_row_bnds(prob, Y_totals_j+j, GLP_FX, n,n);
/* x_minimum >= 0 */
- glp_set_col_bounds(prob, X_minimum, GLP_LB, 0, 0);
+ glp_set_col_bnds(prob, X_minimum, GLP_LO, 0, 0);
+ glp_set_col_name(prob, X_minimum, "minimum");
/* objective is maximising x_minimum */
glp_set_obj_dir(prob, GLP_MAX);
glp_set_obj_coef(prob, X_minimum, 1);
- for (i=0; i<n; j++) {
+ for (i=0; i<n; i++) {
for (j=0; j<m; j++) {
if (!(adjmatrix[i] & one_adj_bit(j)))
continue;
/* x_morefrag_i_j >= 0 */
int X_morefrag_i_j = glp_add_cols(prob, 1);
glp_set_col_bnds(prob, X_morefrag_i_j, GLP_LO, 0, 0);
+ if (doprint) {
+ char buf[255];
+ snprintf(buf,sizeof(buf),"mf %d,%d",i,j);
+ glp_set_col_name(prob, X_morefrag_i_j, buf);
+ }
/* x_total_i += x_morefrag_i_j */
/* x_total_j += x_morefrag_i_j */
assert(next_matrix_entry == matrix_entries_size);
- for (row=1; row<=rows; row++) {
- glp_load_matrix(prob, next_matrix_entry,
- matrix_entries_XY[1], matrix_entries_XY[0],
- matrix_entries);
+ glp_load_matrix(prob, matrix_entries_size-1,
+ matrix_entries_XY[1], matrix_entries_XY[0],
+ matrix_entries);
+
+ int r = glp_simplex(prob, NULL);
+ PRINTF(" glp=%d", r);
+
+#define OKERR(e) \
+ case e: PRINTF(" " #e ); goto out;
+#define BADERR(e) \
+ case e: HAVE_PRINTED; printf(" " #e " CRASHING\n"); exit(-1);
+#define DEFAULT \
+ default: HAVE_PRINTED; printf(" ! CRASHING\n"); exit(-1);
+
+ switch (r) {
+ OKERR(GLP_ESING);
+ OKERR(GLP_ECOND);
+ OKERR(GLP_EBOUND);
+ OKERR(GLP_EFAIL);
+ OKERR(GLP_ENOPFS);
+ OKERR(GLP_ENODFS);
+ BADERR(GLP_EBADB);
+ BADERR(GLP_EOBJLL);
+ BADERR(GLP_EOBJUL);
+ BADERR(GLP_EITLIM);
+ BADERR(GLP_ETMLIM);
+ BADERR(GLP_EINSTAB);
+ BADERR(GLP_ENOCVG);
+ case 0: break;
+ DEFAULT;
+ }
- printf("nyi\n");
+ r = glp_get_status(prob);
+ PRINTF(" status=%d", r);
+
+ switch (r) {
+ OKERR(GLP_NOFEAS);
+ OKERR(GLP_UNDEF);
+ BADERR(GLP_FEAS);
+ BADERR(GLP_INFEAS);
+ BADERR(GLP_UNBND);
+ case GLP_OPT: break;
+ DEFAULT;
+ }
+
+ double got = glp_get_obj_val(prob);
+ PRINTF(" %g", got);
+ if (got <= best)
+ goto out;
+
+ HAVE_PRINTED;
+
+ best = got;
+
+ if (best_prob) glp_delete_prob(best_prob);
+ best_prob = prob;
+
+ free(best_adjmatrix);
+ best_adjmatrix = xalloc_adjmatrix();
+ memcpy(best_adjmatrix, adjmatrix, sizeof(*adjmatrix)*n);
+
+ printf(" BEST \n");
+ return;
+
+ }
+ out:
+ if (prob)
+ glp_delete_prob(prob);
+ if (doprint) { printf(" \r"); fflush(stdout); }
}
static void iterate_recurse(int i, AdjWord min) {
if (i >= n) {
- optimise();
+ printcounter++;
+ optimise(!(printcounter & 0xfff));
return;
}
for (adjmatrix[i] = min;
m = atoi(argv[2]);
prep();
iterate();
+ printf("\n");
+ if (best_prob)
+ glp_print_sol(best_prob,"/dev/stdout");
if (ferror(stdout) || fclose(stdout)) { perror("stdout"); exit(-1); }
return 0;
}