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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 9struct bound_options {10	struct isl_options	*isl;11	unsigned		 verify;12	int			 print_all;13	int			 continue_on_error;14};15 16ISL_ARGS_START(struct bound_options, bound_options_args)17ISL_ARG_CHILD(struct bound_options, isl, "isl", &isl_options_args,18	"isl options")19ISL_ARG_BOOL(struct bound_options, verify, 'T', "verify", 0, NULL)20ISL_ARG_BOOL(struct bound_options, print_all, 'A', "print-all", 0, NULL)21ISL_ARG_BOOL(struct bound_options, continue_on_error, '\0', "continue-on-error", 0, NULL)22ISL_ARGS_END23 24ISL_ARG_DEF(bound_options, struct bound_options, bound_options_args)25 26static __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 51struct 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 62static 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	else120		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	else127		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		else150			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) {158error: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 179static 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 238int 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 283error:284	isl_stream_free(s);285 286	isl_ctx_free(ctx);287 288	return r;289}290