bound.c

   1 #include <assert.h>
   2 #include <isl/stream.h>
   3 #include <isl_map_private.h>
   4 #include <isl_polynomial_private.h>
   5 #include <isl_scan.h>
   6 #include <isl/options.h>
   7 #include <isl/deprecated/point_int.h>
   8 #include <isl/deprecated/polynomial_int.h>
   9
  10 struct bound_options {
  11         struct isl_options      *isl;
  12         unsigned                 verify;
  13         int                      print_all;
  14         int                      continue_on_error;
  15 };
  16
  17 ISL_ARGS_START(struct bound_options, bound_options_args)
  18 ISL_ARG_CHILD(struct bound_options, isl, "isl", &isl_options_args,
  19         "isl options")
  20 ISL_ARG_BOOL(struct bound_options, verify, 'T', "verify", 0, NULL)
  21 ISL_ARG_BOOL(struct bound_options, print_all, 'A', "print-all", 0, NULL)
  22 ISL_ARG_BOOL(struct bound_options, continue_on_error, '\0', "continue-on-error", 0, NULL)
  23 ISL_ARGS_END
  24
  25 ISL_ARG_DEF(bound_options, struct bound_options, bound_options_args)
  26
  27 static __isl_give isl_set *set_bounds(__isl_take isl_set *set)
  28 {
  29         unsigned nparam;
  30         int i, r;
  31         isl_point *pt, *pt2;
  32         isl_set *box;
  33
  34         nparam = isl_set_dim(set, isl_dim_param);
  35         r = nparam >= 8 ? 5 : nparam >= 5 ? 15 : 50;
  36
  37         pt = isl_set_sample_point(isl_set_copy(set));
  38         pt2 = isl_point_copy(pt);
  39
  40         for (i = 0; i < nparam; ++i) {
  41                 pt = isl_point_add_ui(pt, isl_dim_param, i, r);
  42                 pt2 = isl_point_sub_ui(pt2, isl_dim_param, i, r);
  43         }
  44
  45         box = isl_set_box_from_points(pt, pt2);
  46
  47         return isl_set_intersect(set, box);
  48 }
  49
  50 struct verify_point_bound {
  51         struct bound_options *options;
  52         int stride;
  53         int n;
  54         int exact;
  55         int error;
  56
  57         isl_pw_qpolynomial_fold *pwf;
  58         isl_pw_qpolynomial_fold *bound;
  59 };
  60
  61 static int verify_point(__isl_take isl_point *pnt, void *user)
  62 {
  63         int i;
  64         unsigned nvar;
  65         unsigned nparam;
  66         struct verify_point_bound *vpb = (struct verify_point_bound *) user;
  67         isl_int t;
  68         isl_ctx *ctx;
  69         isl_pw_qpolynomial_fold *pwf;
  70         isl_qpolynomial *bound = NULL;
  71         isl_qpolynomial *opt = NULL;
  72         isl_set *dom = NULL;
  73         isl_printer *p;
  74         const char *minmax;
  75         int bounded;
  76         int sign;
  77         int ok;
  78         FILE *out = vpb->options->print_all ? stdout : stderr;
  79
  80         vpb->n--;
  81
  82         if (1) {
  83                 minmax = "ub";
  84                 sign = 1;
  85         } else {
  86                 minmax = "lb";
  87                 sign = -1;
  88         }
  89
  90         ctx = isl_point_get_ctx(pnt);
  91         p = isl_printer_to_file(ctx, out);
  92
  93         isl_int_init(t);
  94
  95         pwf = isl_pw_qpolynomial_fold_copy(vpb->pwf);
  96
  97         nparam = isl_pw_qpolynomial_fold_dim(pwf, isl_dim_param);
  98         for (i = 0; i < nparam; ++i) {
  99                 isl_point_get_coordinate(pnt, isl_dim_param, i, &t);
 100                 pwf = isl_pw_qpolynomial_fold_fix_dim(pwf, isl_dim_param, i, t);
 101         }
 102
 103         bound = isl_pw_qpolynomial_fold_eval(
 104                                     isl_pw_qpolynomial_fold_copy(vpb->bound),
 105                                     isl_point_copy(pnt));
 106
 107         dom = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf));
 108         bounded = isl_set_is_bounded(dom);
 109
 110         if (bounded < 0)
 111                 goto error;
 112
 113         if (!bounded)
 114                 opt = isl_pw_qpolynomial_fold_eval(
 115                                     isl_pw_qpolynomial_fold_copy(pwf),
 116                                     isl_set_sample_point(isl_set_copy(dom)));
 117         else if (sign > 0)
 118                 opt = isl_pw_qpolynomial_fold_max(isl_pw_qpolynomial_fold_copy(pwf));
 119         else
 120                 opt = isl_pw_qpolynomial_fold_min(isl_pw_qpolynomial_fold_copy(pwf));
 121
 122         nvar = isl_set_dim(dom, isl_dim_set);
 123         opt = isl_qpolynomial_project_domain_on_params(opt);
 124         if (vpb->exact && bounded)
 125                 ok = isl_qpolynomial_plain_is_equal(opt, bound);
 126         else if (sign > 0)
 127                 ok = isl_qpolynomial_le_cst(opt, bound);
 128         else
 129                 ok = isl_qpolynomial_le_cst(bound, opt);
 130         if (ok < 0)
 131                 goto error;
 132
 133         if (vpb->options->print_all || !ok) {
 134                 p = isl_printer_print_str(p, minmax);
 135                 p = isl_printer_print_str(p, "(");
 136                 for (i = 0; i < nparam; ++i) {
 137                         if (i)
 138                                 p = isl_printer_print_str(p, ", ");
 139                         isl_point_get_coordinate(pnt, isl_dim_param, i, &t);
 140                         p = isl_printer_print_isl_int(p, t);
 141                 }
 142                 p = isl_printer_print_str(p, ") = ");
 143                 p = isl_printer_print_qpolynomial(p, bound);
 144                 p = isl_printer_print_str(p, ", ");
 145                 p = isl_printer_print_str(p, bounded ? "opt" : "sample");
 146                 p = isl_printer_print_str(p, " = ");
 147                 p = isl_printer_print_qpolynomial(p, opt);
 148                 if (ok)
 149                         p = isl_printer_print_str(p, ". OK");
 150                 else
 151                         p = isl_printer_print_str(p, ". NOT OK");
 152                 p = isl_printer_end_line(p);
 153         } else if ((vpb->n % vpb->stride) == 0) {
 154                 p = isl_printer_print_str(p, "o");
 155                 p = isl_printer_flush(p);
 156         }
 157
 158         if (0) {
 159 error:
 160                 ok = 0;
 161         }
 162
 163         isl_pw_qpolynomial_fold_free(pwf);
 164         isl_qpolynomial_free(bound);
 165         isl_qpolynomial_free(opt);
 166         isl_point_free(pnt);
 167         isl_set_free(dom);
 168
 169         isl_int_clear(t);
 170
 171         isl_printer_free(p);
 172
 173         if (!ok)
 174                 vpb->error = 1;
 175
 176         if (vpb->options->continue_on_error)
 177                 ok = 1;
 178
 179         return (vpb->n >= 1 && ok) ? 0 : -1;
 180 }
 181
 182 static int check_solution(__isl_take isl_pw_qpolynomial_fold *pwf,
 183         __isl_take isl_pw_qpolynomial_fold *bound, int exact,
 184         struct bound_options *options)
 185 {
 186         struct verify_point_bound vpb;
 187         isl_int count, max;
 188         isl_set *dom;
 189         isl_set *context;
 190         int i, r, n;
 191
 192         dom = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf));
 193         context = isl_set_params(isl_set_copy(dom));
 194         context = isl_set_remove_divs(context);
 195         context = set_bounds(context);
 196
 197         isl_int_init(count);
 198         isl_int_init(max);
 199
 200         isl_int_set_si(max, 200);
 201         r = isl_set_count_upto(context, max, &count);
 202         assert(r >= 0);
 203         n = isl_int_get_si(count);
 204
 205         isl_int_clear(max);
 206         isl_int_clear(count);
 207
 208         vpb.options = options;
 209         vpb.pwf = pwf;
 210         vpb.bound = bound;
 211         vpb.n = n;
 212         vpb.stride = n > 70 ? 1 + (n + 1)/70 : 1;
 213         vpb.error = 0;
 214         vpb.exact = exact;
 215
 216         if (!options->print_all) {
 217                 for (i = 0; i < vpb.n; i += vpb.stride)
 218                         printf(".");
 219                 printf("\r");
 220                 fflush(stdout);
 221         }
 222
 223         isl_set_foreach_point(context, verify_point, &vpb);
 224
 225         isl_set_free(context);
 226         isl_set_free(dom);
 227         isl_pw_qpolynomial_fold_free(pwf);
 228         isl_pw_qpolynomial_fold_free(bound);
 229
 230         if (!options->print_all)
 231                 printf("\n");
 232
 233         if (vpb.error) {
 234                 fprintf(stderr, "Check failed !\n");
 235                 return -1;
 236         }
 237
 238         return 0;
 239 }
 240
 241 int main(int argc, char **argv)
 242 {
 243         isl_ctx *ctx;
 244         isl_pw_qpolynomial_fold *copy;
 245         isl_pw_qpolynomial_fold *pwf;
 246         struct isl_stream *s;
 247         struct isl_obj obj;
 248         struct bound_options *options;
 249         int exact;
 250         int r = 0;
 251
 252         options = bound_options_new_with_defaults();
 253         assert(options);
 254         argc = bound_options_parse(options, argc, argv, ISL_ARG_ALL);
 255
 256         ctx = isl_ctx_alloc_with_options(&bound_options_args, options);
 257
 258         s = isl_stream_new_file(ctx, stdin);
 259         obj = isl_stream_read_obj(s);
 260         if (obj.type == isl_obj_pw_qpolynomial)
 261                 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial(isl_fold_max,
 262                                                                   obj.v);
 263         else if (obj.type == isl_obj_pw_qpolynomial_fold)
 264                 pwf = obj.v;
 265         else {
 266                 obj.type->free(obj.v);
 267                 isl_die(ctx, isl_error_invalid, "invalid input", goto error);
 268         }
 269
 270         if (options->verify)
 271                 copy = isl_pw_qpolynomial_fold_copy(pwf);
 272
 273         pwf = isl_pw_qpolynomial_fold_bound(pwf, &exact);
 274         pwf = isl_pw_qpolynomial_fold_coalesce(pwf);
 275
 276         if (options->verify) {
 277                 r = check_solution(copy, pwf, exact, options);
 278         } else {
 279                 if (!exact)
 280                         printf("# NOT exact\n");
 281                 isl_pw_qpolynomial_fold_print(pwf, stdout, 0);
 282                 fprintf(stdout, "\n");
 283                 isl_pw_qpolynomial_fold_free(pwf);
 284         }
 285
 286 error:
 287         isl_stream_free(s);
 288
 289         isl_ctx_free(ctx);
 290
 291         return r;
 292 }