bound.c

   1 #include <assert.h>
   2 #include <isl/stream.h>
   3 #include <barvinok/options.h>
   4 #include <barvinok/util.h>
   5 #include <barvinok/barvinok.h>
   6 #include "verify.h"
   7
   8 struct options {
   9         struct verify_options    *verify;
  10         long split;
  11         int lower;
  12         long iterate;
  13 };
  14
  15 struct isl_arg options_arg[] = {
  16 ISL_ARG_CHILD(struct options, verify, NULL,
  17         verify_options_arg, "verification")
  18 ISL_ARG_LONG(struct options, split, 0, "split", 0, NULL)
  19 ISL_ARG_OPT_LONG(struct options, iterate, 0, "iterate", 0, -1,
  20         "exact result by iterating over domain (of specified maximal size)")
  21 ISL_ARG_BOOL(struct options, lower, 0, "lower", 0,
  22         "compute lower bound instead of upper bound")
  23 ISL_ARG_END
  24 };
  25
  26 ISL_ARG_DEF(options, struct options, options_arg)
  27
  28 struct verify_point_bound {
  29         struct verify_point_data vpd;
  30         isl_pw_qpolynomial *pwqp;
  31         isl_pw_qpolynomial_fold *pwf;
  32         enum isl_fold type;
  33 };
  34
  35 static int verify_point(__isl_take isl_point *pnt, void *user)
  36 {
  37         int i;
  38         unsigned nparam;
  39         struct verify_point_bound *vpb = (struct verify_point_bound *) user;
  40         isl_int v, n, d, b, t;
  41         isl_pw_qpolynomial *pwqp;
  42         isl_qpolynomial *bound;
  43         isl_qpolynomial *opt;
  44         const char *minmax;
  45         int sign;
  46         int ok;
  47         int cst;
  48         FILE *out = vpb->vpd.options->print_all ? stdout : stderr;
  49
  50         vpb->vpd.n--;
  51
  52         if (vpb->type == isl_fold_max) {
  53                 minmax = "max";
  54                 sign = 1;
  55         } else {
  56                 minmax = "min";
  57                 sign = -1;
  58         }
  59
  60         isl_int_init(b);
  61         isl_int_init(t);
  62         isl_int_init(v);
  63         isl_int_init(n);
  64         isl_int_init(d);
  65
  66         pwqp = isl_pw_qpolynomial_copy(vpb->pwqp);
  67
  68         nparam = isl_pw_qpolynomial_dim(pwqp, isl_dim_param);
  69         for (i = 0; i < nparam; ++i) {
  70                 isl_point_get_coordinate(pnt, isl_dim_param, i, &v);
  71                 pwqp = isl_pw_qpolynomial_fix_dim(pwqp, isl_dim_param, i, v);
  72         }
  73
  74         bound = isl_pw_qpolynomial_fold_eval(isl_pw_qpolynomial_fold_copy(vpb->pwf),
  75                                                 isl_point_copy(pnt));
  76
  77         if (sign > 0)
  78                 opt = isl_pw_qpolynomial_max(pwqp);
  79         else
  80                 opt = isl_pw_qpolynomial_min(pwqp);
  81
  82         cst = isl_qpolynomial_is_cst(opt, &n, &d);
  83         if (cst != 1)
  84                 goto error;
  85         if (sign > 0)
  86                 isl_int_fdiv_q(v, n, d);
  87         else
  88                 isl_int_cdiv_q(v, n, d);
  89
  90         cst = isl_qpolynomial_is_cst(bound, &n, &d);
  91         if (cst != 1)
  92                 goto error;
  93         if (sign > 0)
  94                 isl_int_fdiv_q(b, n, d);
  95         else
  96                 isl_int_cdiv_q(b, n, d);
  97
  98         if (sign > 0)
  99                 ok = value_ge(b, v);
 100         else
 101                 ok = value_le(b, v);
 102
 103         if (vpb->vpd.options->print_all || !ok) {
 104                 fprintf(out, "%s(", minmax);
 105                 for (i = 0; i < nparam; ++i) {
 106                         if (i)
 107                                 fprintf(out, ", ");
 108                         isl_point_get_coordinate(pnt, isl_dim_param, i, &t);
 109                         isl_int_print(out, t, 0);
 110                 }
 111                 fprintf(out, ") = ");
 112                 isl_int_print(out, n, 0);
 113                 if (!isl_int_is_one(d)) {
 114                         fprintf(out, "/");
 115                         isl_int_print(out, d, 0);
 116                         fprintf(out, " (");
 117                         isl_int_print(out, b, 0);
 118                         fprintf(out, ")");
 119                 }
 120                 fprintf(out, ", %s(EP) = ", minmax);
 121                 isl_int_print(out, v, 0);
 122                 if (ok)
 123                         fprintf(out, ". OK\n");
 124                 else
 125                         fprintf(out, ". NOT OK\n");
 126         } else if ((vpb->vpd.n % vpb->vpd.s) == 0) {
 127                 printf("o");
 128                 fflush(stdout);
 129         }
 130
 131         if (0) {
 132 error:
 133                 ok = 0;
 134         }
 135
 136         isl_qpolynomial_free(bound);
 137         isl_qpolynomial_free(opt);
 138         isl_point_free(pnt);
 139
 140         isl_int_clear(t);
 141         isl_int_clear(d);
 142         isl_int_clear(n);
 143         isl_int_clear(v);
 144         isl_int_clear(b);
 145
 146         if (!ok)
 147                 vpb->vpd.error = 1;
 148
 149         if (vpb->vpd.options->continue_on_error)
 150                 ok = 1;
 151
 152         return (vpb->vpd.n >= 1 && ok) ? 0 : -1;
 153 }
 154
 155 static int verify(__isl_keep isl_pw_qpolynomial_fold *pwf,
 156         __isl_take isl_pw_qpolynomial *pwqp, enum isl_fold type,
 157         struct verify_options *options)
 158 {
 159         struct verify_point_bound vpb = { { options } };
 160         isl_set *context;
 161         int r;
 162
 163         vpb.pwf = pwf;
 164         vpb.type = type;
 165         vpb.pwqp = pwqp;
 166         context = isl_pw_qpolynomial_fold_domain(
 167                                         isl_pw_qpolynomial_fold_copy(vpb.pwf));
 168         context = verify_context_set_bounds(context, options);
 169
 170         r = verify_point_data_init(&vpb.vpd, context);
 171
 172         if (r == 0)
 173                 isl_set_foreach_point(context, verify_point, &vpb);
 174         if (vpb.vpd.error)
 175                 r = -1;
 176
 177         isl_set_free(context);
 178         isl_pw_qpolynomial_free(pwqp);
 179
 180         verify_point_data_fini(&vpb.vpd);
 181
 182         return r;
 183 }
 184
 185 static __isl_give isl_pw_qpolynomial_fold *iterate(
 186         __isl_take isl_pw_qpolynomial *pwqp, enum isl_fold type)
 187 {
 188         isl_space *dim = isl_pw_qpolynomial_get_space(pwqp);
 189         isl_set *set;
 190         isl_qpolynomial *qp;
 191         isl_qpolynomial_fold *fold;
 192         unsigned nvar;
 193
 194         assert(isl_space_dim(dim, isl_dim_param) == 0);
 195         nvar = isl_space_dim(dim, isl_dim_set);
 196
 197         if (type == isl_fold_min)
 198                 qp = isl_pw_qpolynomial_min(pwqp);
 199         else
 200                 qp = isl_pw_qpolynomial_max(pwqp);
 201
 202         qp = isl_qpolynomial_drop_dims(qp, isl_dim_set, 0, nvar);
 203         fold = isl_qpolynomial_fold_alloc(type, qp);
 204         dim = isl_space_drop_dims(dim, isl_dim_set, 0, nvar);
 205         set = isl_set_universe(dim);
 206
 207         return isl_pw_qpolynomial_fold_alloc(type, set, fold);
 208 }
 209
 210 struct bv_split_data {
 211         int size;
 212         __isl_give isl_pw_qpolynomial *pwqp_less;
 213         __isl_give isl_pw_qpolynomial *pwqp_more;
 214 };
 215
 216 static int split_on_size(__isl_take isl_set *set,
 217         __isl_take isl_qpolynomial *qp, void *user)
 218 {
 219         struct bv_split_data *data = (struct bv_split_data *)user;
 220         int bounded;
 221         isl_set *set_np;
 222         isl_pw_qpolynomial *pwqp;
 223         int nparam;
 224
 225         nparam = isl_set_dim(set, isl_dim_param);
 226         set_np = isl_set_move_dims(isl_set_copy(set), isl_dim_set, 0,
 227                                         isl_dim_param, 0, nparam);
 228         bounded = isl_set_is_bounded(set_np);
 229         assert(bounded >= 0);
 230         if (bounded) {
 231                 isl_pw_qpolynomial *pwqp;
 232                 isl_qpolynomial *cst;
 233                 isl_int m;
 234                 int is_cst;
 235
 236                 pwqp = isl_set_card(set_np);
 237                 cst = isl_pw_qpolynomial_max(pwqp);
 238                 isl_int_init(m);
 239                 is_cst = isl_qpolynomial_is_cst(cst, &m, NULL);
 240                 isl_qpolynomial_free(cst);
 241                 assert(is_cst);
 242                 bounded = isl_int_cmp_si(m, data->size) <= 0;
 243                 isl_int_clear(m);
 244         } else
 245                 isl_set_free(set_np);
 246
 247         pwqp = isl_pw_qpolynomial_alloc(set, qp);
 248         if (bounded)
 249                 data->pwqp_less = isl_pw_qpolynomial_add_disjoint(
 250                                                 data->pwqp_less, pwqp);
 251         else
 252                 data->pwqp_more = isl_pw_qpolynomial_add_disjoint(
 253                                                 data->pwqp_more, pwqp);
 254
 255         return 0;
 256 }
 257
 258 /*
 259  * Split (partition) pwpq into a partition with (sub)domains containing
 260  * size integer points or less and a partition with (sub)domains
 261  * containing more integer points.
 262  */
 263 static int split_on_domain_size(__isl_take isl_pw_qpolynomial *pwqp,
 264         __isl_give isl_pw_qpolynomial **pwqp_less,
 265         __isl_give isl_pw_qpolynomial **pwqp_more,
 266         int size)
 267 {
 268         isl_space *dim;
 269         struct bv_split_data data = { size };
 270         int r;
 271
 272         dim = isl_pw_qpolynomial_get_space(pwqp);
 273         data.pwqp_less = isl_pw_qpolynomial_zero(isl_space_copy(dim));
 274         data.pwqp_more = isl_pw_qpolynomial_zero(dim);
 275         r = isl_pw_qpolynomial_foreach_piece(pwqp, &split_on_size, &data);
 276         *pwqp_less = data.pwqp_less;
 277         *pwqp_more = data.pwqp_more;
 278         isl_pw_qpolynomial_free(pwqp);
 279
 280         return r;
 281 }
 282
 283 static __isl_give isl_pw_qpolynomial_fold *optimize(
 284         __isl_take isl_pw_qpolynomial *pwqp, enum isl_fold type,
 285         struct options *options)
 286 {
 287     isl_pw_qpolynomial_fold *pwf;
 288
 289     if (options->iterate > 0) {
 290         isl_pw_qpolynomial *pwqp_less, *pwqp_more;
 291         isl_pw_qpolynomial_fold *pwf_less, *pwf_more;
 292         split_on_domain_size(pwqp, &pwqp_less, &pwqp_more, options->iterate);
 293         pwf_less = iterate(pwqp_less, type);
 294         pwf_more = isl_pw_qpolynomial_bound(pwqp_more, type, NULL);
 295         pwf = isl_pw_qpolynomial_fold_fold(pwf_less, pwf_more);
 296     } else if (options->iterate)
 297         pwf = iterate(pwqp, type);
 298     else
 299         pwf = isl_pw_qpolynomial_bound(pwqp, type, NULL);
 300     return pwf;
 301 }
 302
 303 static int optimize_and_print(__isl_take isl_pw_qpolynomial *pwqp,
 304         struct options *options)
 305 {
 306     int print_solution = 1;
 307     int result = 0;
 308     isl_pw_qpolynomial_fold *pwf;
 309     enum isl_fold type = options->lower ? isl_fold_min : isl_fold_max;
 310
 311     if (options->verify->verify) {
 312         isl_space *dim = isl_pw_qpolynomial_get_space(pwqp);
 313         unsigned total = isl_space_dim(dim, isl_dim_all);
 314         isl_space_free(dim);
 315         verify_options_set_range(options->verify, total);
 316         if (!options->verify->barvinok->verbose)
 317             print_solution = 0;
 318     }
 319
 320     pwf = optimize(isl_pw_qpolynomial_copy(pwqp), type, options);
 321     assert(pwf);
 322     if (print_solution) {
 323         isl_ctx *ctx = isl_pw_qpolynomial_get_ctx(pwqp);
 324         isl_printer *p = isl_printer_to_file(ctx, stdout);
 325         p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
 326         p = isl_printer_end_line(p);
 327         isl_printer_free(p);
 328     }
 329     if (options->verify->verify) {
 330         enum isl_fold type = options->lower ? isl_fold_min : isl_fold_max;
 331         result = verify(pwf, pwqp, type, options->verify);
 332     } else
 333         isl_pw_qpolynomial_free(pwqp);
 334     isl_pw_qpolynomial_fold_free(pwf);
 335
 336     return result;
 337 }
 338
 339 int main(int argc, char **argv)
 340 {
 341     struct options *options = options_new_with_defaults();
 342     isl_ctx *ctx;
 343     isl_pw_qpolynomial *pwqp;
 344     struct isl_stream *s;
 345     int result = 0;
 346
 347     argc = options_parse(options, argc, argv, ISL_ARG_ALL);
 348     ctx = isl_ctx_alloc_with_options(options_arg, options);
 349
 350     s = isl_stream_new_file(ctx, stdin);
 351     pwqp = isl_stream_read_pw_qpolynomial(s);
 352
 353     if (options->split)
 354         pwqp = isl_pw_qpolynomial_split_periods(pwqp, options->split);
 355
 356     result = optimize_and_print(pwqp, options);
 357
 358     isl_stream_free(s);
 359     isl_ctx_free(ctx);
 360     return result;
 361 }