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      1 #include <assert.h>
      2 #include <isl/stream.h>
      3 #include <isl_map_private.h>
      4 #include <isl/polynomial.h>
      5 #include <isl_scan.h>
      6 #include <isl/val.h>
      7 #include <isl/options.h>
      8 
      9 struct bound_options {
     10 	struct isl_options	*isl;
     11 	unsigned		 verify;
     12 	int			 print_all;
     13 	int			 continue_on_error;
     14 };
     15 
     16 ISL_ARGS_START(struct bound_options, bound_options_args)
     17 ISL_ARG_CHILD(struct bound_options, isl, "isl", &isl_options_args,
     18 	"isl options")
     19 ISL_ARG_BOOL(struct bound_options, verify, 'T', "verify", 0, NULL)
     20 ISL_ARG_BOOL(struct bound_options, print_all, 'A', "print-all", 0, NULL)
     21 ISL_ARG_BOOL(struct bound_options, continue_on_error, '\0', "continue-on-error", 0, NULL)
     22 ISL_ARGS_END
     23 
     24 ISL_ARG_DEF(bound_options, struct bound_options, bound_options_args)
     25 
     26 static __isl_give isl_set *set_bounds(__isl_take isl_set *set)
     27 {
     28 	isl_size nparam;
     29 	int i, r;
     30 	isl_point *pt, *pt2;
     31 	isl_set *box;
     32 
     33 	nparam = isl_set_dim(set, isl_dim_param);
     34 	if (nparam < 0)
     35 		return isl_set_free(set);
     36 	r = nparam >= 8 ? 5 : nparam >= 5 ? 15 : 50;
     37 
     38 	pt = isl_set_sample_point(isl_set_copy(set));
     39 	pt2 = isl_point_copy(pt);
     40 
     41 	for (i = 0; i < nparam; ++i) {
     42 		pt = isl_point_add_ui(pt, isl_dim_param, i, r);
     43 		pt2 = isl_point_sub_ui(pt2, isl_dim_param, i, r);
     44 	}
     45 
     46 	box = isl_set_box_from_points(pt, pt2);
     47 
     48 	return isl_set_intersect(set, box);
     49 }
     50 
     51 struct verify_point_bound {
     52 	struct bound_options *options;
     53 	int stride;
     54 	int n;
     55 	int exact;
     56 	int error;
     57 
     58 	isl_pw_qpolynomial_fold *pwf;
     59 	isl_pw_qpolynomial_fold *bound;
     60 };
     61 
     62 static isl_stat verify_point(__isl_take isl_point *pnt, void *user)
     63 {
     64 	int i;
     65 	isl_size nparam;
     66 	struct verify_point_bound *vpb = (struct verify_point_bound *) user;
     67 	isl_val *v;
     68 	isl_ctx *ctx;
     69 	isl_pw_qpolynomial_fold *pwf;
     70 	isl_val *bound = NULL;
     71 	isl_val *opt = NULL;
     72 	isl_set *dom = NULL;
     73 	isl_printer *p;
     74 	const char *minmax;
     75 	isl_bool 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 	pwf = isl_pw_qpolynomial_fold_copy(vpb->pwf);
     94 
     95 	nparam = isl_pw_qpolynomial_fold_dim(pwf, isl_dim_param);
     96 	if (nparam < 0)
     97 		pwf = isl_pw_qpolynomial_fold_free(pwf);
     98 	for (i = 0; i < nparam; ++i) {
     99 		v = isl_point_get_coordinate_val(pnt, isl_dim_param, i);
    100 		pwf = isl_pw_qpolynomial_fold_fix_val(pwf, isl_dim_param, i, v);
    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 	if (vpb->exact && bounded)
    123 		ok = isl_val_eq(opt, bound);
    124 	else if (sign > 0)
    125 		ok = isl_val_le(opt, bound);
    126 	else
    127 		ok = isl_val_le(bound, opt);
    128 	if (ok < 0)
    129 		goto error;
    130 
    131 	if (vpb->options->print_all || !ok) {
    132 		p = isl_printer_print_str(p, minmax);
    133 		p = isl_printer_print_str(p, "(");
    134 		for (i = 0; i < nparam; ++i) {
    135 			if (i)
    136 				p = isl_printer_print_str(p, ", ");
    137 			v = isl_point_get_coordinate_val(pnt, isl_dim_param, i);
    138 			p = isl_printer_print_val(p, v);
    139 			isl_val_free(v);
    140 		}
    141 		p = isl_printer_print_str(p, ") = ");
    142 		p = isl_printer_print_val(p, bound);
    143 		p = isl_printer_print_str(p, ", ");
    144 		p = isl_printer_print_str(p, bounded ? "opt" : "sample");
    145 		p = isl_printer_print_str(p, " = ");
    146 		p = isl_printer_print_val(p, opt);
    147 		if (ok)
    148 			p = isl_printer_print_str(p, ". OK");
    149 		else
    150 			p = isl_printer_print_str(p, ". NOT OK");
    151 		p = isl_printer_end_line(p);
    152 	} else if ((vpb->n % vpb->stride) == 0) {
    153 		p = isl_printer_print_str(p, "o");
    154 		p = isl_printer_flush(p);
    155 	}
    156 
    157 	if (0) {
    158 error:
    159 		ok = 0;
    160 	}
    161 
    162 	isl_pw_qpolynomial_fold_free(pwf);
    163 	isl_val_free(bound);
    164 	isl_val_free(opt);
    165 	isl_point_free(pnt);
    166 	isl_set_free(dom);
    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) ? isl_stat_ok : isl_stat_error;
    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 	isl_stream *s;
    244 	struct isl_obj obj;
    245 	struct bound_options *options;
    246 	isl_bool 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 }
    290