bound.c

   1 #include <assert.h>
   2 #include <isl/stream.h>
   3 #include <isl_polynomial_private.h>
   4 #include <isl_scan.h>
   5 #include <isl/options.h>
   6
   7 struct bound_options {
   8         struct isl_options      *isl;
   9         unsigned                 verify;
  10         int                      print_all;
  11         int                      continue_on_error;
  12 };
  13
  14 ISL_ARGS_START(struct bound_options, bound_options_args)
  15 ISL_ARG_CHILD(struct bound_options, isl, "isl", &isl_options_args,
  16         "isl options")
  17 ISL_ARG_BOOL(struct bound_options, verify, 'T', "verify", 0, NULL)
  18 ISL_ARG_BOOL(struct bound_options, print_all, 'A', "print-all", 0, NULL)
  19 ISL_ARG_BOOL(struct bound_options, continue_on_error, '\0', "continue-on-error", 0, NULL)
  20 ISL_ARGS_END
  21
  22 ISL_ARG_DEF(bound_options, struct bound_options, bound_options_args)
  23
  24 static __isl_give isl_set *set_bounds(__isl_take isl_set *set)
  25 {
  26         unsigned nparam;
  27         int i, r;
  28         isl_point *pt, *pt2;
  29         isl_set *box;
  30
  31         nparam = isl_set_dim(set, isl_dim_param);
  32         r = nparam >= 8 ? 5 : nparam >= 5 ? 15 : 50;
  33
  34         pt = isl_set_sample_point(isl_set_copy(set));
  35         pt2 = isl_point_copy(pt);
  36
  37         for (i = 0; i < nparam; ++i) {
  38                 pt = isl_point_add_ui(pt, isl_dim_param, i, r);
  39                 pt2 = isl_point_sub_ui(pt2, isl_dim_param, i, r);
  40         }
  41
  42         box = isl_set_box_from_points(pt, pt2);
  43
  44         return isl_set_intersect(set, box);
  45 }
  46
  47 struct verify_point_bound {
  48         struct bound_options *options;
  49         int stride;
  50         int n;
  51         int exact;
  52         int error;
  53
  54         isl_pw_qpolynomial_fold *pwf;
  55         isl_pw_qpolynomial_fold *bound;
  56 };
  57
  58 static int verify_point(__isl_take isl_point *pnt, void *user)
  59 {
  60         int i;
  61         unsigned nvar;
  62         unsigned nparam;
  63         struct verify_point_bound *vpb = (struct verify_point_bound *) user;
  64         isl_int t;
  65         isl_ctx *ctx;
  66         isl_pw_qpolynomial_fold *pwf;
  67         isl_qpolynomial *bound = NULL;
  68         isl_qpolynomial *opt = NULL;
  69         isl_set *dom = NULL;
  70         isl_printer *p;
  71         const char *minmax;
  72         int bounded;
  73         int sign;
  74         int ok;
  75         FILE *out = vpb->options->print_all ? stdout : stderr;
  76
  77         vpb->n--;
  78
  79         if (1) {
  80                 minmax = "ub";
  81                 sign = 1;
  82         } else {
  83                 minmax = "lb";
  84                 sign = -1;
  85         }
  86
  87         ctx = isl_point_get_ctx(pnt);
  88         p = isl_printer_to_file(ctx, out);
  89
  90         isl_int_init(t);
  91
  92         pwf = isl_pw_qpolynomial_fold_copy(vpb->pwf);
  93
  94         nparam = isl_pw_qpolynomial_fold_dim(pwf, isl_dim_param);
  95         for (i = 0; i < nparam; ++i) {
  96                 isl_point_get_coordinate(pnt, isl_dim_param, i, &t);
  97                 pwf = isl_pw_qpolynomial_fold_fix_dim(pwf, isl_dim_param, i, t);
  98         }
  99
 100         bound = isl_pw_qpolynomial_fold_eval(
 101                                     isl_pw_qpolynomial_fold_copy(vpb->bound),
 102                                     isl_point_copy(pnt));
 103
 104         dom = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf));
 105         bounded = isl_set_is_bounded(dom);
 106
 107         if (bounded < 0)
 108                 goto error;
 109
 110         if (!bounded)
 111                 opt = isl_pw_qpolynomial_fold_eval(
 112                                     isl_pw_qpolynomial_fold_copy(pwf),
 113                                     isl_set_sample_point(isl_set_copy(dom)));
 114         else if (sign > 0)
 115                 opt = isl_pw_qpolynomial_fold_max(isl_pw_qpolynomial_fold_copy(pwf));
 116         else
 117                 opt = isl_pw_qpolynomial_fold_min(isl_pw_qpolynomial_fold_copy(pwf));
 118
 119         nvar = isl_set_dim(dom, isl_dim_set);
 120         opt = isl_qpolynomial_project_domain_on_params(opt);
 121         if (vpb->exact && bounded)
 122                 ok = isl_qpolynomial_plain_is_equal(opt, bound);
 123         else if (sign > 0)
 124                 ok = isl_qpolynomial_le_cst(opt, bound);
 125         else
 126                 ok = isl_qpolynomial_le_cst(bound, opt);
 127         if (ok < 0)
 128                 goto error;
 129
 130         if (vpb->options->print_all || !ok) {
 131                 p = isl_printer_print_str(p, minmax);
 132                 p = isl_printer_print_str(p, "(");
 133                 for (i = 0; i < nparam; ++i) {
 134                         if (i)
 135                                 p = isl_printer_print_str(p, ", ");
 136                         isl_point_get_coordinate(pnt, isl_dim_param, i, &t);
 137                         p = isl_printer_print_isl_int(p, t);
 138                 }
 139                 p = isl_printer_print_str(p, ") = ");
 140                 p = isl_printer_print_qpolynomial(p, bound);
 141                 p = isl_printer_print_str(p, ", ");
 142                 p = isl_printer_print_str(p, bounded ? "opt" : "sample");
 143                 p = isl_printer_print_str(p, " = ");
 144                 p = isl_printer_print_qpolynomial(p, opt);
 145                 if (ok)
 146                         p = isl_printer_print_str(p, ". OK");
 147                 else
 148                         p = isl_printer_print_str(p, ". NOT OK");
 149                 p = isl_printer_end_line(p);
 150         } else if ((vpb->n % vpb->stride) == 0) {
 151                 p = isl_printer_print_str(p, "o");
 152                 p = isl_printer_flush(p);
 153         }
 154
 155         if (0) {
 156 error:
 157                 ok = 0;
 158         }
 159
 160         isl_pw_qpolynomial_fold_free(pwf);
 161         isl_qpolynomial_free(bound);
 162         isl_qpolynomial_free(opt);
 163         isl_point_free(pnt);
 164         isl_set_free(dom);
 165
 166         isl_int_clear(t);
 167
 168         isl_printer_free(p);
 169
 170         if (!ok)
 171                 vpb->error = 1;
 172
 173         if (vpb->options->continue_on_error)
 174                 ok = 1;
 175
 176         return (vpb->n >= 1 && ok) ? 0 : -1;
 177 }
 178
 179 static int check_solution(__isl_take isl_pw_qpolynomial_fold *pwf,
 180         __isl_take isl_pw_qpolynomial_fold *bound, int exact,
 181         struct bound_options *options)
 182 {
 183         struct verify_point_bound vpb;
 184         isl_int count, max;
 185         isl_set *dom;
 186         isl_set *context;
 187         int i, r, n;
 188
 189         dom = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf));
 190         context = isl_set_params(isl_set_copy(dom));
 191         context = isl_set_remove_divs(context);
 192         context = set_bounds(context);
 193
 194         isl_int_init(count);
 195         isl_int_init(max);
 196
 197         isl_int_set_si(max, 200);
 198         r = isl_set_count_upto(context, max, &count);
 199         assert(r >= 0);
 200         n = isl_int_get_si(count);
 201
 202         isl_int_clear(max);
 203         isl_int_clear(count);
 204
 205         vpb.options = options;
 206         vpb.pwf = pwf;
 207         vpb.bound = bound;
 208         vpb.n = n;
 209         vpb.stride = n > 70 ? 1 + (n + 1)/70 : 1;
 210         vpb.error = 0;
 211         vpb.exact = exact;
 212
 213         if (!options->print_all) {
 214                 for (i = 0; i < vpb.n; i += vpb.stride)
 215                         printf(".");
 216                 printf("\r");
 217                 fflush(stdout);
 218         }
 219
 220         isl_set_foreach_point(context, verify_point, &vpb);
 221
 222         isl_set_free(context);
 223         isl_set_free(dom);
 224         isl_pw_qpolynomial_fold_free(pwf);
 225         isl_pw_qpolynomial_fold_free(bound);
 226
 227         if (!options->print_all)
 228                 printf("\n");
 229
 230         if (vpb.error) {
 231                 fprintf(stderr, "Check failed !\n");
 232                 return -1;
 233         }
 234
 235         return 0;
 236 }
 237
 238 int main(int argc, char **argv)
 239 {
 240         isl_ctx *ctx;
 241         isl_pw_qpolynomial_fold *copy;
 242         isl_pw_qpolynomial_fold *pwf;
 243         struct isl_stream *s;
 244         struct isl_obj obj;
 245         struct bound_options *options;
 246         int exact;
 247         int r = 0;
 248
 249         options = bound_options_new_with_defaults();
 250         assert(options);
 251         argc = bound_options_parse(options, argc, argv, ISL_ARG_ALL);
 252
 253         ctx = isl_ctx_alloc_with_options(&bound_options_args, options);
 254
 255         s = isl_stream_new_file(ctx, stdin);
 256         obj = isl_stream_read_obj(s);
 257         if (obj.type == isl_obj_pw_qpolynomial)
 258                 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial(isl_fold_max,
 259                                                                   obj.v);
 260         else if (obj.type == isl_obj_pw_qpolynomial_fold)
 261                 pwf = obj.v;
 262         else {
 263                 obj.type->free(obj.v);
 264                 isl_die(ctx, isl_error_invalid, "invalid input", goto error);
 265         }
 266
 267         if (options->verify)
 268                 copy = isl_pw_qpolynomial_fold_copy(pwf);
 269
 270         pwf = isl_pw_qpolynomial_fold_bound(pwf, &exact);
 271         pwf = isl_pw_qpolynomial_fold_coalesce(pwf);
 272
 273         if (options->verify) {
 274                 r = check_solution(copy, pwf, exact, options);
 275         } else {
 276                 if (!exact)
 277                         printf("# NOT exact\n");
 278                 isl_pw_qpolynomial_fold_print(pwf, stdout, 0);
 279                 fprintf(stdout, "\n");
 280                 isl_pw_qpolynomial_fold_free(pwf);
 281         }
 282
 283 error:
 284         isl_stream_free(s);
 285
 286         isl_ctx_free(ctx);
 287
 288         return r;
 289 }