#include "list.h"
#include "bitset.h"
#include "iterator.h"
+#include "firm_config.h"
#ifdef WITH_LIBCORE
#include <libcore/lc_opts.h>
#include <libcore/lc_opts_enum.h>
+#include <libcore/lc_timing.h>
#endif /* WITH_LIBCORE */
#include "irmode_t.h"
#include "irgwalk.h"
#include "irdump.h"
#include "irdom.h"
+#include "irbitset.h"
#include "debug.h"
#include "xmalloc.h"
#include "bechordal_t.h"
+#include "beabi.h"
#include "beutil.h"
#include "besched.h"
#include "benumb_t.h"
#include "beifg_impl.h"
#include "bespillbelady.h"
-#include "bespillilp.h"
+#include "bespillmorgan.h"
#include "belower.h"
+#ifdef WITH_ILP
+#include "bespillilp.h"
+#include "bespillremat.h"
+#include "bespillappel.h"
+#endif /* WITH_ILP */
+
+#include "becopystat.h"
#include "becopyopt.h"
#include "bessadestr.h"
-#include "becopystat.h"
+#include "beverify.h"
void be_ra_chordal_check(be_chordal_env_t *chordal_env) {
- firm_dbg_module_t *dbg = chordal_env->dbg;
const arch_env_t *arch_env = chordal_env->birg->main_env->arch_env;
struct obstack ob;
pmap_entry *pme;
ir_node **nodes, *n1, *n2;
int i, o;
+ DEBUG_ONLY(firm_dbg_module_t *dbg = chordal_env->dbg;)
/* Collect all irns */
obstack_init(&ob);
for (o = i+1, n2 = nodes[o]; n2; n2 = nodes[++o]) {
n2_reg = arch_get_irn_register(arch_env, n2);
if (values_interfere(n1, n2) && n1_reg == n2_reg) {
- DBG((dbg, 0, "Values %+F and %+F interfere and have the same register assigned\n", n1, n2));
+ DBG((dbg, 0, "Values %+F and %+F interfere and have the same register assigned: %s\n", n1, n2, n1_reg->name));
assert(0 && "Interfering values have the same color!");
}
}
obstack_free(&ob, NULL);
}
-static void check_pressure_walker(ir_node *bl, void *data)
-{
- be_chordal_env_t *env = data;
- firm_dbg_module_t *dbg = env->dbg;
- int n_regs = arch_register_class_n_regs(env->cls);
-
- pset *live = pset_new_ptr_default();
- int step = 0;
- ir_node *irn;
- irn_live_t *li;
-
- live_foreach(bl, li) {
- if(live_is_end(li) && chordal_has_class(env, li->irn)) {
- ir_node *irn = (ir_node *) li->irn;
- pset_insert_ptr(live, irn);
- }
- }
-
- DBG((dbg, LEVEL_1, "end set for %+F\n", bl));
- for(irn = pset_first(live); irn; irn = pset_next(live))
- DBG((dbg, LEVEL_1, "\t%+F\n", irn));
-
- sched_foreach_reverse(bl, irn) {
- int i, n;
- int pressure = pset_count(live);
-
- DBG((dbg, LEVEL_1, "%+10F@%+10F: pressure %d\n", bl, irn, pressure));
-
- if(pressure > n_regs) {
- ir_node *x;
- ir_printf("%+10F@%+10F: pressure to high: %d\n", bl, irn, pressure);
- for(x = pset_first(live); x; x = pset_next(live))
- ir_printf("\t%+10F\n", x);
- }
-
- if(chordal_has_class(env, irn))
- pset_remove_ptr(live, irn);
-
- for(i = 0, n = get_irn_arity(irn); i < n; i++) {
- ir_node *op = get_irn_n(irn, i);
- if(chordal_has_class(env, op) && !is_Phi(irn))
- pset_insert_ptr(live, op);
- }
- step++;
- }
-}
-
-void be_check_pressure(const be_chordal_env_t *env)
-{
- irg_block_walk_graph(env->irg, check_pressure_walker, NULL, (void *) env);
-}
-
int nodes_interfere(const be_chordal_env_t *env, const ir_node *a, const ir_node *b)
{
if(env->ifg)
static be_ra_chordal_opts_t options = {
BE_CH_DUMP_NONE,
BE_CH_SPILL_BELADY,
- BE_CH_COPYMIN_HEUR,
+ BE_CH_COPYMIN_HEUR2,
BE_CH_IFG_STD,
- BE_CH_LOWER_PERM_SWAP
+ BE_CH_LOWER_PERM_SWAP,
+ BE_CH_VRFY_WARN,
+};
+
+static be_ra_timer_t ra_timer = {
+ NULL,
+ NULL,
+ NULL,
+ NULL,
+ NULL,
+ NULL,
+ NULL,
+ NULL,
+
};
#ifdef WITH_LIBCORE
static const lc_opt_enum_int_items_t spill_items[] = {
+ { "morgan", BE_CH_SPILL_MORGAN },
{ "belady", BE_CH_SPILL_BELADY },
- { "ilp", BE_CH_SPILL_ILP },
+#ifdef WITH_ILP
+ { "ilp", BE_CH_SPILL_ILP },
+ { "remat", BE_CH_SPILL_REMAT },
+ { "appel", BE_CH_SPILL_APPEL },
+#endif /* WITH_ILP */
{ NULL, 0 }
};
static const lc_opt_enum_int_items_t copymin_items[] = {
- { "heur", BE_CH_COPYMIN_HEUR },
- { "ilp", BE_CH_COPYMIN_ILP },
+ { "none", BE_CH_COPYMIN_NONE },
+ { "heur1", BE_CH_COPYMIN_HEUR1 },
+ { "heur2", BE_CH_COPYMIN_HEUR2 },
+ { "stat", BE_CH_COPYMIN_STAT },
+ { "park", BE_CH_COPYMIN_PARK_MOON },
+#ifdef WITH_ILP
+ { "ilp1", BE_CH_COPYMIN_ILP1 },
+ { "ilp2", BE_CH_COPYMIN_ILP2 },
+#endif /* WITH_ILP */
{ NULL, 0 }
};
static const lc_opt_enum_int_items_t ifg_flavor_items[] = {
- { "std", BE_CH_IFG_STD },
- { "fast", BE_CH_IFG_FAST },
- { NULL, 0 }
+ { "std", BE_CH_IFG_STD },
+ { "fast", BE_CH_IFG_FAST },
+ { "clique", BE_CH_IFG_CLIQUE },
+ { "pointer", BE_CH_IFG_POINTER },
+ { "list", BE_CH_IFG_LIST },
+ { "check", BE_CH_IFG_CHECK },
+ { NULL, 0 }
};
static const lc_opt_enum_int_items_t lower_perm_items[] = {
- { "swap", BE_CH_LOWER_PERM_SWAP },
{ "copy", BE_CH_LOWER_PERM_COPY },
+ { "swap", BE_CH_LOWER_PERM_SWAP },
+ { NULL, 0 }
+};
+
+static const lc_opt_enum_int_items_t lower_perm_stat_items[] = {
{ NULL, 0 }
};
static const lc_opt_enum_int_items_t dump_items[] = {
- { "spill", BE_CH_DUMP_SPILL },
- { "live", BE_CH_DUMP_LIVE },
- { "color", BE_CH_DUMP_COLOR },
- { "copymin", BE_CH_DUMP_COPYMIN },
- { "ssadestr", BE_CH_DUMP_SSADESTR },
+ { "spill", BE_CH_DUMP_SPILL },
+ { "live", BE_CH_DUMP_LIVE },
+ { "color", BE_CH_DUMP_COLOR },
+ { "copymin", BE_CH_DUMP_COPYMIN },
+ { "ssadestr", BE_CH_DUMP_SSADESTR },
{ "tree", BE_CH_DUMP_TREE_INTV },
- { "constr", BE_CH_DUMP_CONSTR },
- { "lower", BE_CH_DUMP_LOWER },
+ { "constr", BE_CH_DUMP_CONSTR },
+ { "lower", BE_CH_DUMP_LOWER },
+ { "all", BE_CH_DUMP_ALL },
+ { NULL, 0 }
+};
+
+static const lc_opt_enum_int_items_t be_ch_vrfy_items[] = {
+ { "off", BE_CH_VRFY_OFF },
+ { "warn", BE_CH_VRFY_WARN },
+ { "assert", BE_CH_VRFY_ASSERT },
{ NULL, 0 }
};
};
static lc_opt_enum_int_var_t ifg_flavor_var = {
- &options.spill_method, ifg_flavor_items
+ &options.ifg_flavor, ifg_flavor_items
};
static lc_opt_enum_int_var_t lower_perm_var = {
- &options.lower_perm_method, lower_perm_items
+ &options.lower_perm_opt, lower_perm_items
};
static lc_opt_enum_int_var_t dump_var = {
&options.dump_flags, dump_items
};
+static lc_opt_enum_int_var_t be_ch_vrfy_var = {
+ &options.vrfy_option, be_ch_vrfy_items
+};
+
+static const lc_opt_table_entry_t be_chordal_options[] = {
+ LC_OPT_ENT_ENUM_PTR ("spill", "spill method (belady, ilp, remat or appel)", &spill_var),
+ LC_OPT_ENT_ENUM_PTR ("copymin", "copymin method (none, heur1, heur2, ilp1, ilp2 or stat)", ©min_var),
+ LC_OPT_ENT_ENUM_PTR ("ifg", "interference graph flavour (std, fast, clique, pointer, list, check)", &ifg_flavor_var),
+ LC_OPT_ENT_ENUM_PTR ("perm", "perm lowering options (copy or swap)", &lower_perm_var),
+ LC_OPT_ENT_ENUM_MASK("dump", "select dump phases", &dump_var),
+ LC_OPT_ENT_ENUM_PTR ("vrfy", "verify options (off, warn, assert)", &be_ch_vrfy_var),
+ { NULL }
+};
+
static void be_ra_chordal_register_options(lc_opt_entry_t *grp)
{
- grp = lc_opt_get_grp(grp, "chordal");
+ static int run_once = 0;
+ lc_opt_entry_t *chordal_grp;
+
+ if (! run_once) {
+ run_once = 1;
+ chordal_grp = lc_opt_get_grp(grp, "chordal");
+
+ lc_opt_add_table(chordal_grp, be_chordal_options);
+ }
+
+ co_register_options(chordal_grp);
}
-#endif
+#endif /* WITH_LIBCORE */
static void dump(unsigned mask, ir_graph *irg,
const arch_register_class_t *cls,
const char *suffix,
void (*dump_func)(ir_graph *, const char *))
{
- if(1 || (options.dump_flags & mask) == mask) {
- if(cls) {
+ if((options.dump_flags & mask) == mask) {
+ if (cls) {
char buf[256];
snprintf(buf, sizeof(buf), "-%s%s", cls->name, suffix);
- dump_func(irg, buf);
+ be_dump(irg, buf, dump_func);
}
-
else
- dump_func(irg, suffix);
+ be_dump(irg, suffix, dump_func);
}
}
-static void be_ra_chordal_main(const be_irg_t *bi)
+static void put_ignore_colors(be_chordal_env_t *chordal_env)
{
+ int n_colors = chordal_env->cls->n_regs;
+ int i;
+
+ bitset_clear_all(chordal_env->ignore_colors);
+ be_abi_put_ignore_regs(chordal_env->birg->abi, chordal_env->cls, chordal_env->ignore_colors);
+ for(i = 0; i < n_colors; ++i)
+ if(arch_register_type_is(&chordal_env->cls->regs[i], ignore))
+ bitset_set(chordal_env->ignore_colors, i);
+}
+
+FILE *be_chordal_open(const be_chordal_env_t *env, const char *prefix, const char *suffix)
+{
+ char buf[1024];
+
+ ir_snprintf(buf, sizeof(buf), "%s%F_%s.%s", prefix, env->irg, env->cls->name, suffix);
+ return fopen(buf, "wt");
+}
+
+void check_ifg_implementations(be_chordal_env_t *chordal_env)
+{
+ FILE *f;
+
+ f = be_chordal_open(chordal_env, "std", "log");
+ chordal_env->ifg = be_ifg_std_new(chordal_env);
+ be_ifg_check_sorted_to_file(chordal_env->ifg, f);
+ fclose(f);
+
+ f = be_chordal_open(chordal_env, "list", "log");
+ be_ifg_free(chordal_env->ifg);
+ chordal_env->ifg = be_ifg_list_new(chordal_env);
+ be_ifg_check_sorted_to_file(chordal_env->ifg, f);
+ fclose(f);
+
+ f = be_chordal_open(chordal_env, "clique", "log");
+ be_ifg_free(chordal_env->ifg);
+ chordal_env->ifg = be_ifg_clique_new(chordal_env);
+ be_ifg_check_sorted_to_file(chordal_env->ifg, f);
+ fclose(f);
+
+ f = be_chordal_open(chordal_env, "pointer", "log");
+ be_ifg_free(chordal_env->ifg);
+ chordal_env->ifg = be_ifg_pointer_new(chordal_env);
+ be_ifg_check_sorted_to_file(chordal_env->ifg, f);
+ fclose(f);
+
+ chordal_env->ifg = NULL;
+};
+
+static be_ra_timer_t *be_ra_chordal_main(const be_irg_t *bi)
+{
+ const be_main_env_t *main_env = bi->main_env;
+ const arch_isa_t *isa = arch_env_get_isa(main_env->arch_env);
+ ir_graph *irg = bi->irg;
+ be_options_t *main_opts = main_env->options;
+ copy_opt_t *co;
+
int j, m;
be_chordal_env_t chordal_env;
- ir_graph *irg = bi->irg;
- const be_main_env_t *main_env = bi->main_env;
- const arch_isa_t *isa = arch_env_get_isa(main_env->arch_env);
+
+ if (main_opts->timing == BE_TIME_ON) {
+ ra_timer.t_prolog = lc_timer_register("prolog", "regalloc prolog");
+ ra_timer.t_epilog = lc_timer_register("epilog", "regalloc epilog");
+ ra_timer.t_live = lc_timer_register("liveness", "be liveness");
+ ra_timer.t_spill = lc_timer_register("spill", "spiller");
+ ra_timer.t_color = lc_timer_register("color", "graph coloring");
+ ra_timer.t_ifg = lc_timer_register("ifg", "build interference graph");
+ ra_timer.t_copymin = lc_timer_register("copymin", "copy minimization");
+ ra_timer.t_ssa = lc_timer_register("ssadestr", "ssa destruction");
+
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_prolog);
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_epilog);
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_live);
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_spill);
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_color);
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_ifg);
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_copymin);
+ LC_STOP_AND_RESET_TIMER(ra_timer.t_ssa);
+ }
+
+#define BE_TIME_START(timer) if (main_opts->timing == BE_TIME_ON) lc_timer_start(timer)
+#define BE_TIME_STOP(timer) if (main_opts->timing == BE_TIME_ON) lc_timer_stop(timer)
+
+ BE_TIME_START(ra_timer.t_prolog);
compute_doms(irg);
- chordal_env.opts = &options;
- chordal_env.irg = irg;
- chordal_env.dbg = firm_dbg_register("firm.be.chordal");
- chordal_env.birg = bi;
- chordal_env.dom_front = be_compute_dominance_frontiers(irg);
+ chordal_env.opts = &options;
+ chordal_env.irg = irg;
+ chordal_env.birg = bi;
+ chordal_env.dom_front = be_compute_dominance_frontiers(irg);
+ FIRM_DBG_REGISTER(chordal_env.dbg, "firm.be.chordal");
obstack_init(&chordal_env.obst);
+ BE_TIME_STOP(ra_timer.t_prolog);
+
/* Perform the following for each register class. */
for(j = 0, m = arch_isa_get_n_reg_class(isa); j < m; ++j) {
- chordal_env.cls = arch_isa_get_reg_class(isa, j);
- chordal_env.border_heads = pmap_create();
+ FILE *f;
+ chordal_env.cls = arch_isa_get_reg_class(isa, j);
+ chordal_env.border_heads = pmap_create();
+ chordal_env.ignore_colors = bitset_malloc(chordal_env.cls->n_regs);
+
+ BE_TIME_START(ra_timer.t_live);
+
+ /* put all ignore registers into the ignore register set. */
+ put_ignore_colors(&chordal_env);
be_liveness(irg);
dump(BE_CH_DUMP_LIVE, irg, chordal_env.cls, "-live", dump_ir_block_graph_sched);
+ BE_TIME_STOP(ra_timer.t_live);
+ BE_TIME_START(ra_timer.t_spill);
+
/* spilling */
switch(options.spill_method) {
+ case BE_CH_SPILL_MORGAN:
+ be_spill_morgan(&chordal_env);
+ break;
case BE_CH_SPILL_BELADY:
be_spill_belady(&chordal_env);
break;
+#ifdef WITH_ILP
case BE_CH_SPILL_ILP:
be_spill_ilp(&chordal_env);
break;
+ case BE_CH_SPILL_REMAT:
+ be_spill_remat(&chordal_env);
+ break;
+ case BE_CH_SPILL_APPEL:
+ be_spill_appel(&chordal_env);
+ break;
+#endif /* WITH_ILP */
default:
fprintf(stderr, "no valid spiller selected. falling back to belady\n");
be_spill_belady(&chordal_env);
}
dump(BE_CH_DUMP_SPILL, irg, chordal_env.cls, "-spill", dump_ir_block_graph_sched);
- be_liveness(irg);
- be_check_pressure(&chordal_env);
+ be_abi_fix_stack_nodes(bi->abi);
+
+ /* verify schedule and register pressure */
+ if (options.vrfy_option == BE_CH_VRFY_WARN) {
+ be_verify_schedule(irg);
+ be_verify_register_pressure(chordal_env.birg->main_env->arch_env, chordal_env.cls, irg);
+ }
+ else if (options.vrfy_option == BE_CH_VRFY_ASSERT) {
+ assert(be_verify_schedule(irg) && "Schedule verification failed");
+ assert(be_verify_register_pressure(chordal_env.birg->main_env->arch_env, chordal_env.cls, irg)
+ && "Register pressure verification failed");
+ }
+ BE_TIME_STOP(ra_timer.t_spill);
+ BE_TIME_START(ra_timer.t_live);
be_liveness(irg);
- be_check_pressure(&chordal_env);
+ BE_TIME_STOP(ra_timer.t_live);
/* Color the graph. */
+ BE_TIME_START(ra_timer.t_color);
be_ra_chordal_color(&chordal_env);
dump(BE_CH_DUMP_CONSTR, irg, chordal_env.cls, "-color", dump_ir_block_graph_sched);
- /* Build the interference graph. */
- chordal_env.ifg = be_ifg_std_new(&chordal_env);
- be_ifg_check(chordal_env.ifg);
+ BE_TIME_STOP(ra_timer.t_color);
+ BE_TIME_START(ra_timer.t_ifg);
+ //be_ifg_check_performance(&chordal_env);
+
+ /* Create the ifg with the selected flavor */
+ switch (options.ifg_flavor) {
+ default:
+ fprintf(stderr, "no valid ifg flavour selected. falling back to std\n");
+ case BE_CH_IFG_STD:
+ case BE_CH_IFG_FAST:
+ chordal_env.ifg = be_ifg_std_new(&chordal_env);
+ break;
+ case BE_CH_IFG_CLIQUE:
+ chordal_env.ifg = be_ifg_clique_new(&chordal_env);
+ break;
+ case BE_CH_IFG_POINTER:
+ chordal_env.ifg = be_ifg_pointer_new(&chordal_env);
+ break;
+ case BE_CH_IFG_LIST:
+ chordal_env.ifg = be_ifg_list_new(&chordal_env);
+ break;
+ case BE_CH_IFG_CHECK:
+ check_ifg_implementations(&chordal_env);
+ /* Build the interference graph. */
+ chordal_env.ifg = be_ifg_std_new(&chordal_env);
+ //be_ifg_check(chordal_env.ifg);
+ //be_ifg_check_sorted(chordal_env.ifg);
+ break;
+ }
+
+
+#if 0
+ {
+ be_ifg_t *std = be_ifg_std_new(&chordal_env);
+ f = be_chordal_open(&chordal_env, "std", "csv");
+ be_ifg_check_sorted_to_file(std, f);
+ be_ifg_free(std);
+ fclose(f);
+ }
+
+ f = be_chordal_open(&chordal_env, "clique", "csv");
+ be_ifg_check_sorted_to_file(chordal_env.ifg, f);
+ fclose(f);
+#endif
+ if (options.vrfy_option != BE_CH_VRFY_OFF)
+ be_ra_chordal_check(&chordal_env);
+
+// be_ifg_check_sorted(chordal_env.ifg);
+
+ BE_TIME_STOP(ra_timer.t_ifg);
+ BE_TIME_START(ra_timer.t_copymin);
/* copy minimization */
- copystat_collect_cls(&chordal_env);
- co_compare_solvers(&chordal_env);
+ co = NULL;
+ if (options.copymin_method != BE_CH_COPYMIN_NONE && options.copymin_method != BE_CH_COPYMIN_STAT) {
+ co = new_copy_opt(&chordal_env, co_get_costs_loop_depth);
+ co_build_ou_structure(co);
+ co_build_graph_structure(co);
+ }
+
+ switch(options.copymin_method) {
+ case BE_CH_COPYMIN_HEUR1:
+ co_solve_heuristic(co);
+ break;
+ case BE_CH_COPYMIN_HEUR2:
+ co_solve_heuristic_new(co);
+ break;
+ case BE_CH_COPYMIN_PARK_MOON:
+ co_solve_park_moon(co);
+ break;
+ case BE_CH_COPYMIN_STAT:
+ co_compare_solvers(&chordal_env);
+ break;
+#ifdef WITH_ILP
+ case BE_CH_COPYMIN_ILP1:
+ printf("FIXME: %s:%d ILP1 not yet implemented!\n", __FILE__, __LINE__);
+ co_solve_ilp1(co, 60.0);
+ break;
+ case BE_CH_COPYMIN_ILP2:
+ co_solve_ilp2(co, 60.0);
+ break;
+#endif /* WITH_ILP */
+ case BE_CH_COPYMIN_NONE:
+ default:
+ break;
+ }
+
+ if (co) {
+ co_free_graph_structure(co);
+ co_free_ou_structure(co);
+ free_copy_opt(co);
+ }
+
dump(BE_CH_DUMP_COPYMIN, irg, chordal_env.cls, "-copymin", dump_ir_block_graph_sched);
- be_ra_chordal_check(&chordal_env);
+ if (options.vrfy_option != BE_CH_VRFY_OFF)
+ be_ra_chordal_check(&chordal_env);
+
+ BE_TIME_STOP(ra_timer.t_copymin);
+ BE_TIME_START(ra_timer.t_ssa);
/* ssa destruction */
be_ssa_destruction(&chordal_env);
dump(BE_CH_DUMP_SSADESTR, irg, chordal_env.cls, "-ssadestr", dump_ir_block_graph_sched);
- be_ssa_destruction_check(&chordal_env);
- be_ra_chordal_check(&chordal_env);
+ if (options.vrfy_option != BE_CH_VRFY_OFF) {
+ be_ssa_destruction_check(&chordal_env);
+ be_ra_chordal_check(&chordal_env);
+ }
- copystat_dump(irg);
+ if (options.copymin_method == BE_CH_COPYMIN_STAT)
+ copystat_dump(irg);
be_ifg_free(chordal_env.ifg);
-
pmap_destroy(chordal_env.border_heads);
+ bitset_free(chordal_env.ignore_colors);
+
+ BE_TIME_STOP(ra_timer.t_ssa);
}
+ BE_TIME_START(ra_timer.t_epilog);
+
be_compute_spill_offsets(&chordal_env);
dump(BE_CH_DUMP_LOWER, irg, NULL, "-spilloff", dump_ir_block_graph_sched);
- lower_nodes_after_ra(&chordal_env, options.lower_perm_method == BE_CH_LOWER_PERM_COPY ? 1 : 0);
+ lower_nodes_after_ra(&chordal_env, options.lower_perm_opt & BE_CH_LOWER_PERM_COPY ? 1 : 0);
dump(BE_CH_DUMP_LOWER, irg, NULL, "-belower-after-ra", dump_ir_block_graph_sched);
obstack_free(&chordal_env.obst, NULL);
be_free_dominance_frontiers(chordal_env.dom_front);
+
+ BE_TIME_STOP(ra_timer.t_epilog);
+
+ if (main_opts->timing == BE_TIME_ON)
+ return &ra_timer;
+ else
+ return NULL;
}
const be_ra_t be_ra_chordal_allocator = {