Example #1
0
int main() {
  pprod_t *p1, *p2;
  uint32_t i, j;
  int32_t cmp;

  p[0] = empty_pp;
  p[1] = var_pp(0);
  p[2] = var_pp(1);
  p[3] = var_pp(0x3fffffff);

  init_pp_buffer(&buffer, 0);
  p[4] = pp_buffer_getprod(&buffer);  // empty

  pp_buffer_reset(&buffer);
  pp_buffer_mul_var(&buffer, 0);
  p[5] = pp_buffer_getprod(&buffer); // x_0

  pp_buffer_reset(&buffer);
  pp_buffer_mul_var(&buffer, 0);
  pp_buffer_mul_var(&buffer, 1);
  pp_buffer_mul_var(&buffer, 0);
  p[6] = pp_buffer_getprod(&buffer);  // x_0^2 x_1

  pp_buffer_reset(&buffer);
  pp_buffer_mul_varexp(&buffer, 1, 2);
  pp_buffer_mul_varexp(&buffer, 4, 3);
  p[7] = pp_buffer_getprod(&buffer);  // x_1^2 x_4^3

  pp_buffer_set_varexp(&buffer, 3, 2);
  pp_buffer_mul_varexp(&buffer, 1, 4);
  p[8] = pp_buffer_getprod(&buffer);   // x_3^2 x_1^4

  pp_buffer_set_pprod(&buffer, p[7]);
  pp_buffer_mul_pprod(&buffer, p[1]);
  pp_buffer_mul_pprod(&buffer, p[8]);
  p[9] = pp_buffer_getprod(&buffer);

  for (i=0; i<NUM_PRODS; i++) {
    printf("p[%"PRIu32"] =  ", i);
    print_pprod(stdout, p[i]);
    printf(" total degree = %"PRIu32"\n", pprod_degree(p[i]));
    for (j=0; j<5; j++) {
      printf(" degree of x_%"PRIu32" = %"PRIu32"\n", j, pprod_var_degree(p[i], j));
    }
    printf("----\n");
  }
  printf("\n");

  for (i=0; i<NUM_PRODS; i++) {
    p1 = p[i];
    for (j=0; j<NUM_PRODS; j++) {
      p2 = p[j];
      printf("p1: ");
      print_pprod0(stdout, p1);
      printf("p2: ");
      print_pprod0(stdout, p2);
      if (pprod_equal(p1, p2)) {
	printf("equal products\n");
      }
      if (pprod_divides(p1, p2)) {
	printf("p1 divides p2\n");
      }
      if (pprod_divisor(&buffer, p1, p2)) {
	printf("p2/p1: ");
	print_pp_buffer0(stdout, &buffer);
      }
      if (pprod_divides(p2, p1)) {
	printf("p2 divides p1\n");
      }
      if (pprod_divisor(&buffer, p2, p1)) {
	printf("p1/p2: ");
	print_pp_buffer0(stdout, &buffer);
      }
      cmp = pprod_lex_cmp(p1, p2);
      if (cmp < 0) {
	printf("p1 < p2 in lex order\n");
      } else if (cmp > 0) {
	printf("p1 > p2 in lex order\n");
      } else {
	printf("p1 = p2 in lex order\n");
      }
      if (pprod_precedes(p1, p2)) {
	printf("p1 < p2 in deglex ordering\n");
      }
      if (pprod_precedes(p2, p1)) {
	printf("p2 < p1 in deglex ordering\n");
      }
      printf("----\n");
    }
  }


  for (i=0; i<10; i++) {
    free_pprod(p[i]);
  }

  delete_pp_buffer(&buffer);

  return 0;
}
Example #2
0
int main(void) {
  uint32_t i, j, n;
  pprod_t *q;

  init_pprod_table(&ptbl, 10);
  init_pp_buffer(&buffer, 10);

  p[0] = empty_pp;
  p[1] = var_pp(0);
  p[2] = var_pp(1);
  p[3] = var_pp(2);
  p[4] = var_pp(3);
  num_prods = 5;

  for (i=0; i<5; i++) {
    for (j=0; j<5; j++) {
      q = pprod_mul(&ptbl, p[i], p[j]);
      print_pprod0(stdout, p[i]);
      printf(" * ");
      print_pprod0(stdout, p[j]);
      printf(" = ");
      print_pprod0(stdout, q);
      printf("\n");
      check_product(q);
      printf("\n");
    }
  }

  n = num_prods;
  for (i=0; i<n; i++) {
    for (j=0; j<n; j++) {
      q = pprod_mul(&ptbl, p[i], p[j]);
      print_pprod0(stdout, p[i]);
      printf(" * ");
      print_pprod0(stdout, p[j]);
      printf(" = ");
      print_pprod0(stdout, q);
      printf("\n");
      check_product(q);
      printf("\n");
    }
  }

  for (i=0; i<num_prods; i++) {
    pp_buffer_set_pprod(&buffer, p[i]);
    printf("p[%"PRIu32"] = %p = ", i, p[i]);
    print_pprod0(stdout, p[i]);
    printf("\n");
    printf("buffer: ");
    print_pp_buffer0(stdout, &buffer);
    printf("\n");
    q = pprod_from_buffer(&ptbl, &buffer);
    printf("prod from buffer = %p = ", q);
    print_pprod0(stdout, q);
    if (q != p[i]) {
      printf("BUG: HASH CONSING FAILED\n");
      fflush(stdout);
      abort();
    }
    printf("\n\n");
  }

  // delete the non-trivial products
  for (i=5; i<num_prods; i++) {
    q = p[i];
    assert(q != empty_pp && q != end_pp && !pp_is_var(q));
    printf("deleting p[%"PRIu32"] = %p = ", i, q);
    print_pprod0(stdout, q);
    printf("\n");
    delete_pprod(&ptbl, q);
  }
  printf("\n\n");

  p[5] = var_pp(4);
  num_prods = 6;

  // reconstruct more products
  q = pprod_mul(&ptbl, p[1], p[2]);
  printf("checking q = %p = ", q);
  print_pprod0(stdout, q);
  printf("\n");
  check_product(q);
  printf("\n");

  q = pprod_mul(&ptbl, p[2], p[3]);
  printf("checking q = %p = ", q);
  print_pprod0(stdout, q);
  printf("\n");
  check_product(q);
  printf("\n");

  q = pprod_mul(&ptbl, p[3], p[2]);
  printf("rechecking q = %p = ", q);
  print_pprod0(stdout, q);
  printf("\n");
  check_product(q);
  printf("\n");

  q = pprod_mul(&ptbl, p[3], p[4]);
  printf("checking q = %p = ", q);
  print_pprod0(stdout, q);
  printf("\n");
  check_product(q);
  printf("\n");

  q = pprod_mul(&ptbl, p[4], p[3]);
  printf("rechecking q = %p = ", q);
  print_pprod0(stdout, q);
  printf("\n");
  check_product(q);
  printf("\n");

  q = pprod_mul(&ptbl, p[4], p[5]);
  printf("checking q = %p = ", q);
  print_pprod0(stdout, q);
  printf("\n");
  check_product(q);
  printf("\n");

  q = pprod_mul(&ptbl, p[0], p[5]);
  printf("checking q = %p = ", q);
  print_pprod0(stdout, q);
  printf("\n");
  check_product(q);
  printf("\n");

  printf("*** Table content before GC ***\n");
  print_pprod_table(stdout, &ptbl);
  pprod_table_set_gc_mark(&ptbl, p[num_prods - 1]);
  pprod_table_gc(&ptbl);
  printf("\n*** Table content after GC ***\n");
  print_pprod_table(stdout, &ptbl);
  printf("\n");

  delete_pp_buffer(&buffer);
  delete_pprod_table(&ptbl);


  return 0;
}