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-rw-r--r--erts/emulator/beam/beam_ranges.c8
-rw-r--r--erts/emulator/beam/big.c7
-rw-r--r--erts/emulator/beam/erl_alloc.types1
-rw-r--r--erts/emulator/beam/erl_bif_lists.c797
-rw-r--r--erts/emulator/beam/erl_bif_unique.h6
-rw-r--r--erts/emulator/beam/erl_db_tree.c12
-rw-r--r--erts/emulator/beam/erl_nif.c12
-rw-r--r--erts/emulator/beam/erl_process.c277
-rw-r--r--erts/emulator/beam/utils.c2
9 files changed, 879 insertions, 243 deletions
diff --git a/erts/emulator/beam/beam_ranges.c b/erts/emulator/beam/beam_ranges.c
index c7b17d58f3..9570fb34db 100644
--- a/erts/emulator/beam/beam_ranges.c
+++ b/erts/emulator/beam/beam_ranges.c
@@ -35,10 +35,8 @@ typedef struct {
/*
* Used for crash dumping of literals. The size of erts_dump_lit_areas is
- * always twice the number of active ranges (to allow for literals in both
- * current and old code).
+ * always at least the number of active ranges.
*/
-
ErtsLiteralArea** erts_dump_lit_areas;
Uint erts_dump_num_lit_areas;
@@ -180,8 +178,8 @@ erts_end_staging_ranges(int commit)
(erts_aint_t) (r[dst].modules +
r[dst].n / 2));
- if (r[dst].allocated * 2 > erts_dump_num_lit_areas) {
- erts_dump_num_lit_areas *= 2;
+ if (r[dst].allocated > erts_dump_num_lit_areas) {
+ erts_dump_num_lit_areas = r[dst].allocated * 2;
erts_dump_lit_areas = (ErtsLiteralArea **)
erts_realloc(ERTS_ALC_T_CRASH_DUMP,
(void *) erts_dump_lit_areas,
diff --git a/erts/emulator/beam/big.c b/erts/emulator/beam/big.c
index c5cb268f09..60f0ecf42b 100644
--- a/erts/emulator/beam/big.c
+++ b/erts/emulator/beam/big.c
@@ -1159,8 +1159,11 @@ static dsize_t I_band(ErtsDigit* x, dsize_t xl, short xsgn,
*r++ = ~c1 & ~c2;
x++; y++;
}
- while(xl--)
- *r++ = ~*x++;
+ while(xl--) {
+ DSUBb(*x,0,b1,c1);
+ *r++ = ~c1;
+ x++;
+ }
}
}
return I_btrail(r0, r, sign);
diff --git a/erts/emulator/beam/erl_alloc.types b/erts/emulator/beam/erl_alloc.types
index 252bf1cc7e..af1133b853 100644
--- a/erts/emulator/beam/erl_alloc.types
+++ b/erts/emulator/beam/erl_alloc.types
@@ -322,6 +322,7 @@ type THR_PRGR_DATA LONG_LIVED SYSTEM thr_prgr_data
type T_THR_PRGR_DATA SHORT_LIVED SYSTEM temp_thr_prgr_data
type RELEASE_LAREA SHORT_LIVED SYSTEM release_literal_area
+endif
+type LIST_TRAP SHORT_LIVED PROCESSES list_bif_trap_state
#
# Types used for special emulators
diff --git a/erts/emulator/beam/erl_bif_lists.c b/erts/emulator/beam/erl_bif_lists.c
index 73d327da3e..94a41c285a 100644
--- a/erts/emulator/beam/erl_bif_lists.c
+++ b/erts/emulator/beam/erl_bif_lists.c
@@ -29,12 +29,13 @@
#include "sys.h"
#include "erl_vm.h"
#include "global.h"
-#include "erl_process.h"
-#include "error.h"
#include "bif.h"
+#include "erl_binary.h"
+
static Eterm keyfind(int Bif, Process* p, Eterm Key, Eterm Pos, Eterm List);
+
static BIF_RETTYPE append(Process* p, Eterm A, Eterm B)
{
Eterm list;
@@ -146,103 +147,725 @@ BIF_RETTYPE append_2(BIF_ALIST_2)
return append(BIF_P, BIF_ARG_1, BIF_ARG_2);
}
-/*
- * erlang:'--'/2
- */
+/* erlang:'--'/2
+ *
+ * Subtracts a list from another (LHS -- RHS), removing the first occurrence of
+ * each element in LHS from RHS. There is no type coercion so the elements must
+ * match exactly.
+ *
+ * The BIF is broken into several stages that can all trap individually, and it
+ * chooses its algorithm based on input size. If either input is small it will
+ * use a linear scan tuned to which side it's on, and if both inputs are large
+ * enough it will convert RHS into a multiset to provide good asymptotic
+ * behavior. */
-#define SMALL_VEC_SIZE 10
-static Eterm subtract(Process* p, Eterm A, Eterm B)
-{
- Eterm list;
- Eterm* hp;
- Uint need;
- Eterm res;
- Eterm small_vec[SMALL_VEC_SIZE]; /* Preallocated memory for small lists */
- Eterm* vec_p;
- Eterm* vp;
- Sint i;
- Sint n;
- Sint m;
-
- if ((n = erts_list_length(A)) < 0) {
- BIF_ERROR(p, BADARG);
+#define SUBTRACT_LHS_THRESHOLD 16
+#define SUBTRACT_RHS_THRESHOLD 16
+
+typedef enum {
+ SUBTRACT_STAGE_START,
+ SUBTRACT_STAGE_LEN_LHS,
+
+ /* Naive linear scan that's efficient when
+ * LEN_LHS <= SUBTRACT_LHS_THRESHOLD. */
+ SUBTRACT_STAGE_NAIVE_LHS,
+
+ SUBTRACT_STAGE_LEN_RHS,
+
+ /* As SUBTRACT_STAGE_NAIVE_LHS but for RHS. */
+ SUBTRACT_STAGE_NAIVE_RHS,
+
+ /* Creates a multiset from RHS for faster lookups before sweeping through
+ * LHS. The set is implemented as a red-black tree and duplicate elements
+ * are handled by a counter on each node. */
+ SUBTRACT_STAGE_SET_BUILD,
+ SUBTRACT_STAGE_SET_FINISH
+} ErtsSubtractCtxStage;
+
+typedef struct subtract_node__ {
+ struct subtract_node__ *parent;
+ struct subtract_node__ *left;
+ struct subtract_node__ *right;
+ int is_red;
+
+ Eterm key;
+ Uint count;
+} subtract_tree_t;
+
+typedef struct {
+ ErtsSubtractCtxStage stage;
+
+ Eterm lhs_original;
+ Eterm rhs_original;
+
+ Uint lhs_remaining;
+ Uint rhs_remaining;
+
+ Eterm iterator;
+
+ Eterm *result_cdr;
+ Eterm result;
+
+ union {
+ Eterm lhs_elements[SUBTRACT_LHS_THRESHOLD];
+ Eterm rhs_elements[SUBTRACT_RHS_THRESHOLD];
+
+ struct {
+ subtract_tree_t *tree;
+
+ /* A memory area for the tree's nodes, saving us the need to have
+ * one allocation per node. */
+ subtract_tree_t *alloc_start;
+ subtract_tree_t *alloc;
+ } rhs_set;
+ } u;
+} ErtsSubtractContext;
+
+#define ERTS_RBT_PREFIX subtract
+#define ERTS_RBT_T subtract_tree_t
+#define ERTS_RBT_KEY_T Eterm
+#define ERTS_RBT_FLAGS_T int
+#define ERTS_RBT_INIT_EMPTY_TNODE(T) \
+ do { \
+ (T)->parent = NULL; \
+ (T)->left = NULL; \
+ (T)->right = NULL; \
+ } while(0)
+#define ERTS_RBT_IS_RED(T) ((T)->is_red)
+#define ERTS_RBT_SET_RED(T) ((T)->is_red = 1)
+#define ERTS_RBT_IS_BLACK(T) (!ERTS_RBT_IS_RED(T))
+#define ERTS_RBT_SET_BLACK(T) ((T)->is_red = 0)
+#define ERTS_RBT_GET_FLAGS(T) ((T)->is_red)
+#define ERTS_RBT_SET_FLAGS(T, F) ((T)->is_red = F)
+#define ERTS_RBT_GET_PARENT(T) ((T)->parent)
+#define ERTS_RBT_SET_PARENT(T, P) ((T)->parent = P)
+#define ERTS_RBT_GET_RIGHT(T) ((T)->right)
+#define ERTS_RBT_SET_RIGHT(T, R) ((T)->right = (R))
+#define ERTS_RBT_GET_LEFT(T) ((T)->left)
+#define ERTS_RBT_SET_LEFT(T, L) ((T)->left = (L))
+#define ERTS_RBT_GET_KEY(T) ((T)->key)
+#define ERTS_RBT_IS_LT(KX, KY) (CMP_TERM(KX, KY) < 0)
+#define ERTS_RBT_IS_EQ(KX, KY) EQ(KX, KY)
+#define ERTS_RBT_WANT_LOOKUP_INSERT
+#define ERTS_RBT_WANT_LOOKUP
+#define ERTS_RBT_WANT_DELETE
+#define ERTS_RBT_UNDEF
+
+#include "erl_rbtree.h"
+
+static int subtract_continue(Process *p, ErtsSubtractContext *context);
+
+static void subtract_ctx_dtor(ErtsSubtractContext *context) {
+ switch (context->stage) {
+ case SUBTRACT_STAGE_SET_BUILD:
+ case SUBTRACT_STAGE_SET_FINISH:
+ erts_free(ERTS_ALC_T_LIST_TRAP, context->u.rhs_set.alloc_start);
+ break;
+ default:
+ break;
}
- if ((m = erts_list_length(B)) < 0) {
- BIF_ERROR(p, BADARG);
+}
+
+static int subtract_ctx_bin_dtor(Binary *context_bin) {
+ ErtsSubtractContext *context = ERTS_MAGIC_BIN_DATA(context_bin);
+ subtract_ctx_dtor(context);
+ return 1;
+}
+
+static void subtract_ctx_move(ErtsSubtractContext *from,
+ ErtsSubtractContext *to) {
+ int uses_result_cdr = 0;
+
+ to->stage = from->stage;
+
+ to->lhs_original = from->lhs_original;
+ to->rhs_original = from->rhs_original;
+
+ to->lhs_remaining = from->lhs_remaining;
+ to->rhs_remaining = from->rhs_remaining;
+
+ to->iterator = from->iterator;
+ to->result = from->result;
+
+ switch (to->stage) {
+ case SUBTRACT_STAGE_NAIVE_LHS:
+ sys_memcpy(to->u.lhs_elements,
+ from->u.lhs_elements,
+ sizeof(Eterm) * to->lhs_remaining);
+ break;
+ case SUBTRACT_STAGE_NAIVE_RHS:
+ sys_memcpy(to->u.rhs_elements,
+ from->u.rhs_elements,
+ sizeof(Eterm) * to->rhs_remaining);
+
+ uses_result_cdr = 1;
+ break;
+ case SUBTRACT_STAGE_SET_FINISH:
+ uses_result_cdr = 1;
+ /* FALL THROUGH */
+ case SUBTRACT_STAGE_SET_BUILD:
+ to->u.rhs_set.alloc_start = from->u.rhs_set.alloc_start;
+ to->u.rhs_set.alloc = from->u.rhs_set.alloc;
+ to->u.rhs_set.tree = from->u.rhs_set.tree;
+ break;
+ default:
+ break;
}
-
- if (n == 0)
- BIF_RET(NIL);
- if (m == 0)
- BIF_RET(A);
-
- /* allocate element vector */
- if (n <= SMALL_VEC_SIZE)
- vec_p = small_vec;
- else
- vec_p = (Eterm*) erts_alloc(ERTS_ALC_T_TMP, n * sizeof(Eterm));
-
- /* PUT ALL ELEMENTS IN VP */
- vp = vec_p;
- list = A;
- i = n;
- while(i--) {
- Eterm* listp = list_val(list);
- *vp++ = CAR(listp);
- list = CDR(listp);
+
+ if (uses_result_cdr) {
+ if (from->result_cdr == &from->result) {
+ to->result_cdr = &to->result;
+ } else {
+ to->result_cdr = from->result_cdr;
+ }
}
-
- /* UNMARK ALL DELETED CELLS */
- list = B;
- m = 0; /* number of deleted elements */
- while(is_list(list)) {
- Eterm* listp = list_val(list);
- Eterm elem = CAR(listp);
- i = n;
- vp = vec_p;
- while(i--) {
- if (is_value(*vp) && eq(*vp, elem)) {
- *vp = THE_NON_VALUE;
- m++;
- break;
- }
- vp++;
- }
- list = CDR(listp);
+}
+
+static Eterm subtract_create_trap_state(Process *p,
+ ErtsSubtractContext *context) {
+ Binary *state_bin;
+ Eterm *hp;
+
+ state_bin = erts_create_magic_binary(sizeof(ErtsSubtractContext),
+ subtract_ctx_bin_dtor);
+
+ subtract_ctx_move(context, ERTS_MAGIC_BIN_DATA(state_bin));
+
+ hp = HAlloc(p, ERTS_MAGIC_REF_THING_SIZE);
+
+ return erts_mk_magic_ref(&hp, &MSO(p), state_bin);
+}
+
+static int subtract_enter_len_lhs(Process *p, ErtsSubtractContext *context) {
+ context->stage = SUBTRACT_STAGE_LEN_LHS;
+
+ context->iterator = context->lhs_original;
+ context->lhs_remaining = 0;
+
+ return subtract_continue(p, context);
+}
+
+static int subtract_enter_len_rhs(Process *p, ErtsSubtractContext *context) {
+ context->stage = SUBTRACT_STAGE_LEN_RHS;
+
+ context->iterator = context->rhs_original;
+ context->rhs_remaining = 0;
+
+ return subtract_continue(p, context);
+}
+
+static int subtract_get_length(Process *p, Eterm *iterator_p, Uint *count_p) {
+ static const Sint ELEMENTS_PER_RED = 32;
+
+ Sint budget, count;
+ Eterm iterator;
+
+ budget = ELEMENTS_PER_RED * ERTS_BIF_REDS_LEFT(p);
+ iterator = *iterator_p;
+
+#ifdef DEBUG
+ budget = budget / 10 + 1;
+#endif
+
+ for (count = 0; count < budget && is_list(iterator); count++) {
+ iterator = CDR(list_val(iterator));
}
-
- if (m == n) /* All deleted ? */
- res = NIL;
- else if (m == 0) /* None deleted ? */
- res = A;
- else { /* REBUILD LIST */
- res = NIL;
- need = 2*(n - m);
- hp = HAlloc(p, need);
- vp = vec_p + n - 1;
- while(vp >= vec_p) {
- if (is_value(*vp)) {
- res = CONS(hp, *vp, res);
- hp += 2;
- }
- vp--;
- }
+
+ if (!is_list(iterator) && !is_nil(iterator)) {
+ return -1;
+ }
+
+ BUMP_REDS(p, count / ELEMENTS_PER_RED);
+
+ *iterator_p = iterator;
+ *count_p += count;
+
+ if (is_nil(iterator)) {
+ return 1;
}
- if (vec_p != small_vec)
- erts_free(ERTS_ALC_T_TMP, (void *) vec_p);
- BIF_RET(res);
+
+ return 0;
}
-BIF_RETTYPE ebif_minusminus_2(BIF_ALIST_2)
-{
- return subtract(BIF_P, BIF_ARG_1, BIF_ARG_2);
+static int subtract_enter_naive_lhs(Process *p, ErtsSubtractContext *context) {
+ Eterm iterator;
+ int i = 0;
+
+ context->stage = SUBTRACT_STAGE_NAIVE_LHS;
+
+ context->iterator = context->rhs_original;
+ context->result = NIL;
+
+ iterator = context->lhs_original;
+
+ while (is_list(iterator)) {
+ const Eterm *cell = list_val(iterator);
+
+ ASSERT(i < SUBTRACT_LHS_THRESHOLD);
+
+ context->u.lhs_elements[i++] = CAR(cell);
+ iterator = CDR(cell);
+ }
+
+ ASSERT(i == context->lhs_remaining);
+
+ return subtract_continue(p, context);
}
-BIF_RETTYPE subtract_2(BIF_ALIST_2)
-{
- return subtract(BIF_P, BIF_ARG_1, BIF_ARG_2);
+static int subtract_naive_lhs(Process *p, ErtsSubtractContext *context) {
+ const Sint CHECKS_PER_RED = 16;
+ Sint checks, budget;
+
+ budget = CHECKS_PER_RED * ERTS_BIF_REDS_LEFT(p);
+ checks = 0;
+
+ while (checks < budget && is_list(context->iterator)) {
+ const Eterm *cell;
+ Eterm value, next;
+ int found_at;
+
+ cell = list_val(context->iterator);
+
+ value = CAR(cell);
+ next = CDR(cell);
+
+ for (found_at = 0; found_at < context->lhs_remaining; found_at++) {
+ if (EQ(value, context->u.lhs_elements[found_at])) {
+ /* We shift the array one step down as we have to preserve
+ * order.
+ *
+ * Note that we can't exit early as that would suppress errors
+ * in the right-hand side (this runs prior to determining the
+ * length of RHS). */
+
+ context->lhs_remaining--;
+ sys_memmove(&context->u.lhs_elements[found_at],
+ &context->u.lhs_elements[found_at + 1],
+ (context->lhs_remaining - found_at) * sizeof(Eterm));
+ break;
+ }
+ }
+
+ checks += MAX(1, context->lhs_remaining);
+ context->iterator = next;
+ }
+
+ BUMP_REDS(p, MIN(checks, budget) / CHECKS_PER_RED);
+
+ if (is_list(context->iterator)) {
+ return 0;
+ } else if (!is_nil(context->iterator)) {
+ return -1;
+ }
+
+ if (context->lhs_remaining > 0) {
+ Eterm *hp;
+ int i;
+
+ hp = HAlloc(p, context->lhs_remaining * 2);
+
+ for (i = context->lhs_remaining - 1; i >= 0; i--) {
+ Eterm value = context->u.lhs_elements[i];
+
+ context->result = CONS(hp, value, context->result);
+ hp += 2;
+ }
+ }
+
+ ASSERT(context->lhs_remaining > 0 || context->result == NIL);
+
+ return 1;
+}
+
+static int subtract_enter_naive_rhs(Process *p, ErtsSubtractContext *context) {
+ Eterm iterator;
+ int i = 0;
+
+ context->stage = SUBTRACT_STAGE_NAIVE_RHS;
+
+ context->iterator = context->lhs_original;
+ context->result_cdr = &context->result;
+ context->result = NIL;
+
+ iterator = context->rhs_original;
+
+ while (is_list(iterator)) {
+ const Eterm *cell = list_val(iterator);
+
+ ASSERT(i < SUBTRACT_RHS_THRESHOLD);
+
+ context->u.rhs_elements[i++] = CAR(cell);
+ iterator = CDR(cell);
+ }
+
+ ASSERT(i == context->rhs_remaining);
+
+ return subtract_continue(p, context);
+}
+
+static int subtract_naive_rhs(Process *p, ErtsSubtractContext *context) {
+ const Sint CHECKS_PER_RED = 16;
+ Sint checks, budget;
+
+ budget = CHECKS_PER_RED * ERTS_BIF_REDS_LEFT(p);
+ checks = 0;
+
+#ifdef DEBUG
+ budget = budget / 10 + 1;
+#endif
+
+ while (checks < budget && is_list(context->iterator)) {
+ const Eterm *cell;
+ Eterm value, next;
+ int found_at;
+
+ cell = list_val(context->iterator);
+ value = CAR(cell);
+ next = CDR(cell);
+
+ for (found_at = context->rhs_remaining - 1; found_at >= 0; found_at--) {
+ if (EQ(value, context->u.rhs_elements[found_at])) {
+ break;
+ }
+ }
+
+ if (found_at < 0) {
+ /* Destructively add the value to the result. This is safe
+ * since the GC is disabled and the unfinished term is never
+ * leaked to the outside world. */
+ Eterm *hp = HAllocX(p, 2, context->lhs_remaining * 2);
+
+ *context->result_cdr = make_list(hp);
+ context->result_cdr = &CDR(hp);
+
+ CAR(hp) = value;
+ } else if (found_at >= 0) {
+ Eterm swap;
+
+ if (context->rhs_remaining-- == 1) {
+ /* We've run out of items to remove, so the rest of the
+ * result will be equal to the remainder of the input. We know
+ * that LHS is well-formed as any errors would've been reported
+ * during length determination. */
+ *context->result_cdr = next;
+
+ BUMP_REDS(p, MIN(budget, checks) / CHECKS_PER_RED);
+
+ return 1;
+ }
+
+ swap = context->u.rhs_elements[context->rhs_remaining];
+ context->u.rhs_elements[found_at] = swap;
+ }
+
+ checks += context->rhs_remaining;
+ context->iterator = next;
+ context->lhs_remaining--;
+ }
+
+ /* The result only has to be terminated when returning it to the user, but
+ * we're doing it when trapping as well to prevent headaches when
+ * debugging. */
+ *context->result_cdr = NIL;
+
+ BUMP_REDS(p, MIN(budget, checks) / CHECKS_PER_RED);
+
+ if (is_list(context->iterator)) {
+ ASSERT(context->lhs_remaining > 0 && context->rhs_remaining > 0);
+ return 0;
+ }
+
+ return 1;
+}
+
+static int subtract_enter_set_build(Process *p, ErtsSubtractContext *context) {
+ context->stage = SUBTRACT_STAGE_SET_BUILD;
+
+ context->u.rhs_set.alloc_start =
+ erts_alloc(ERTS_ALC_T_LIST_TRAP,
+ context->rhs_remaining * sizeof(subtract_tree_t));
+
+ context->u.rhs_set.alloc = context->u.rhs_set.alloc_start;
+ context->u.rhs_set.tree = NULL;
+
+ context->iterator = context->rhs_original;
+
+ return subtract_continue(p, context);
+}
+
+static int subtract_set_build(Process *p, ErtsSubtractContext *context) {
+ const static Sint INSERTIONS_PER_RED = 16;
+ Sint budget, insertions;
+
+ budget = INSERTIONS_PER_RED * ERTS_BIF_REDS_LEFT(p);
+ insertions = 0;
+
+#ifdef DEBUG
+ budget = budget / 10 + 1;
+#endif
+
+ while (insertions < budget && is_list(context->iterator)) {
+ subtract_tree_t *existing_node, *new_node;
+ const Eterm *cell;
+ Eterm value, next;
+
+ cell = list_val(context->iterator);
+ value = CAR(cell);
+ next = CDR(cell);
+
+ new_node = context->u.rhs_set.alloc;
+ new_node->key = value;
+ new_node->count = 1;
+
+ existing_node = subtract_rbt_lookup_insert(&context->u.rhs_set.tree,
+ new_node);
+
+ if (existing_node != NULL) {
+ existing_node->count++;
+ } else {
+ context->u.rhs_set.alloc++;
+ }
+
+ context->iterator = next;
+ insertions++;
+ }
+
+ BUMP_REDS(p, insertions / INSERTIONS_PER_RED);
+
+ ASSERT(is_list(context->iterator) || is_nil(context->iterator));
+ ASSERT(context->u.rhs_set.tree != NULL);
+
+ return is_nil(context->iterator);
+}
+
+static int subtract_enter_set_finish(Process *p, ErtsSubtractContext *context) {
+ context->stage = SUBTRACT_STAGE_SET_FINISH;
+
+ context->result_cdr = &context->result;
+ context->result = NIL;
+
+ context->iterator = context->lhs_original;
+
+ return subtract_continue(p, context);
+}
+
+static int subtract_set_finish(Process *p, ErtsSubtractContext *context) {
+ const Sint CHECKS_PER_RED = 8;
+ Sint checks, budget;
+
+ budget = CHECKS_PER_RED * ERTS_BIF_REDS_LEFT(p);
+ checks = 0;
+
+#ifdef DEBUG
+ budget = budget / 10 + 1;
+#endif
+
+ while (checks < budget && is_list(context->iterator)) {
+ subtract_tree_t *node;
+ const Eterm *cell;
+ Eterm value, next;
+
+ cell = list_val(context->iterator);
+ value = CAR(cell);
+ next = CDR(cell);
+
+ ASSERT(context->rhs_remaining > 0);
+
+ node = subtract_rbt_lookup(context->u.rhs_set.tree, value);
+
+ if (node == NULL) {
+ Eterm *hp = HAllocX(p, 2, context->lhs_remaining * 2);
+
+ *context->result_cdr = make_list(hp);
+ context->result_cdr = &CDR(hp);
+
+ CAR(hp) = value;
+ } else {
+ if (context->rhs_remaining-- == 1) {
+ *context->result_cdr = next;
+
+ BUMP_REDS(p, checks / CHECKS_PER_RED);
+
+ return 1;
+ }
+
+ if (node->count-- == 1) {
+ subtract_rbt_delete(&context->u.rhs_set.tree, node);
+ }
+ }
+
+ context->iterator = next;
+ context->lhs_remaining--;
+ checks++;
+ }
+
+ *context->result_cdr = NIL;
+
+ BUMP_REDS(p, checks / CHECKS_PER_RED);
+
+ if (is_list(context->iterator)) {
+ ASSERT(context->lhs_remaining > 0 && context->rhs_remaining > 0);
+ return 0;
+ }
+
+ return 1;
+}
+
+static int subtract_continue(Process *p, ErtsSubtractContext *context) {
+ switch (context->stage) {
+ case SUBTRACT_STAGE_START: {
+ return subtract_enter_len_lhs(p, context);
+ }
+
+ case SUBTRACT_STAGE_LEN_LHS: {
+ int res = subtract_get_length(p,
+ &context->iterator,
+ &context->lhs_remaining);
+
+ if (res != 1) {
+ return res;
+ }
+
+ if (context->lhs_remaining <= SUBTRACT_LHS_THRESHOLD) {
+ return subtract_enter_naive_lhs(p, context);
+ }
+
+ return subtract_enter_len_rhs(p, context);
+ }
+
+ case SUBTRACT_STAGE_NAIVE_LHS: {
+ return subtract_naive_lhs(p, context);
+ }
+
+ case SUBTRACT_STAGE_LEN_RHS: {
+ int res = subtract_get_length(p,
+ &context->iterator,
+ &context->rhs_remaining);
+
+ if (res != 1) {
+ return res;
+ }
+
+ /* We've walked through both lists fully now so we no longer need
+ * to check for errors past this point. */
+
+ if (context->rhs_remaining <= SUBTRACT_RHS_THRESHOLD) {
+ return subtract_enter_naive_rhs(p, context);
+ }
+
+ return subtract_enter_set_build(p, context);
+ }
+
+ case SUBTRACT_STAGE_NAIVE_RHS: {
+ return subtract_naive_rhs(p, context);
+ }
+
+ case SUBTRACT_STAGE_SET_BUILD: {
+ int res = subtract_set_build(p, context);
+
+ if (res != 1) {
+ return res;
+ }
+
+ return subtract_enter_set_finish(p, context);
+ }
+
+ case SUBTRACT_STAGE_SET_FINISH: {
+ return subtract_set_finish(p, context);
+ }
+
+ default:
+ ERTS_ASSERT(!"unreachable");
+ }
+}
+
+static int subtract_start(Process *p, Eterm lhs, Eterm rhs,
+ ErtsSubtractContext *context) {
+ context->stage = SUBTRACT_STAGE_START;
+
+ context->lhs_original = lhs;
+ context->rhs_original = rhs;
+
+ return subtract_continue(p, context);
}
+/* erlang:'--'/2 */
+static Eterm subtract(Export *bif_entry, BIF_ALIST_2) {
+ Eterm lhs = BIF_ARG_1, rhs = BIF_ARG_2;
+
+ if ((is_list(lhs) || is_nil(lhs)) && (is_list(rhs) || is_nil(rhs))) {
+ /* We start with the context on the stack in the hopes that we won't
+ * have to trap. */
+ ErtsSubtractContext context;
+ int res;
+
+ res = subtract_start(BIF_P, lhs, rhs, &context);
+
+ if (res == 0) {
+ Eterm state_mref;
+
+ state_mref = subtract_create_trap_state(BIF_P, &context);
+ erts_set_gc_state(BIF_P, 0);
+
+ BIF_TRAP2(bif_entry, BIF_P, state_mref, NIL);
+ }
+
+ subtract_ctx_dtor(&context);
+
+ if (res < 0) {
+ BIF_ERROR(BIF_P, BADARG);
+ }
+
+ BIF_RET(context.result);
+ } else if (is_internal_magic_ref(lhs)) {
+ ErtsSubtractContext *context;
+ int (*dtor)(Binary*);
+ Binary *magic_bin;
+
+ int res;
+
+ magic_bin = erts_magic_ref2bin(lhs);
+ dtor = ERTS_MAGIC_BIN_DESTRUCTOR(magic_bin);
+
+ if (dtor != subtract_ctx_bin_dtor) {
+ BIF_ERROR(BIF_P, BADARG);
+ }
+
+ ASSERT(BIF_P->flags & F_DISABLE_GC);
+ ASSERT(rhs == NIL);
+
+ context = ERTS_MAGIC_BIN_DATA(magic_bin);
+ res = subtract_continue(BIF_P, context);
+
+ if (res == 0) {
+ BIF_TRAP2(bif_entry, BIF_P, lhs, NIL);
+ }
+
+ erts_set_gc_state(BIF_P, 1);
+
+ if (res < 0) {
+ ERTS_BIF_ERROR_TRAPPED2(BIF_P, BADARG, bif_entry,
+ context->lhs_original,
+ context->rhs_original);
+ }
+
+ BIF_RET(context->result);
+ }
+
+ ASSERT(!(BIF_P->flags & F_DISABLE_GC));
+
+ BIF_ERROR(BIF_P, BADARG);
+}
+
+BIF_RETTYPE ebif_minusminus_2(BIF_ALIST_2) {
+ return subtract(bif_export[BIF_ebif_minusminus_2], BIF_CALL_ARGS);
+}
+
+BIF_RETTYPE subtract_2(BIF_ALIST_2) {
+ return subtract(bif_export[BIF_subtract_2], BIF_CALL_ARGS);
+}
+
+
BIF_RETTYPE lists_member_2(BIF_ALIST_2)
{
Eterm term;
diff --git a/erts/emulator/beam/erl_bif_unique.h b/erts/emulator/beam/erl_bif_unique.h
index 9aa631fde9..e3a633080d 100644
--- a/erts/emulator/beam/erl_bif_unique.h
+++ b/erts/emulator/beam/erl_bif_unique.h
@@ -242,11 +242,11 @@ erts_internal_ref_number_cmp(Uint32 num1[ERTS_REF_NUMBERS],
Uint32 num2[ERTS_REF_NUMBERS])
{
if (num1[2] != num2[2])
- return (int) ((Sint64) num1[2] - (Sint64) num2[2]);
+ return num1[2] > num2[2] ? 1 : -1;
if (num1[1] != num2[1])
- return (int) ((Sint64) num1[1] - (Sint64) num2[1]);
+ return num1[1] > num2[1] ? 1 : -1;
if (num1[0] != num2[0])
- return (int) ((Sint64) num1[0] - (Sint64) num2[0]);
+ return num1[0] > num2[0] ? 1 : -1;
return 0;
}
diff --git a/erts/emulator/beam/erl_db_tree.c b/erts/emulator/beam/erl_db_tree.c
index 7c80e92e50..1127b8d12e 100644
--- a/erts/emulator/beam/erl_db_tree.c
+++ b/erts/emulator/beam/erl_db_tree.c
@@ -1884,22 +1884,14 @@ static int db_select_replace_tree(Process *p, DbTable *tbl, Eterm tid,
sc.mp = mpi.mp;
sc.all_objects = mpi.all_objects;
- stack = get_static_stack(tb);
if (!mpi.got_partial && mpi.some_limitation &&
CMP_EQ(mpi.least,mpi.most)) {
- TreeDbTerm* term = *(mpi.save_term);
doit_select_replace(tb,mpi.save_term,&sc,0 /* dummy */);
- if (stack != NULL) {
- if (TOP_NODE(stack) == term)
- // throw away potentially invalid reference
- REPLACE_TOP_NODE(stack, *(mpi.save_term));
- release_stack(tb, stack);
- }
+ reset_static_stack(tb); /* may refer replaced term */
RET_TO_BIF(erts_make_integer(sc.replaced,p),DB_ERROR_NONE);
}
- if (stack == NULL)
- stack = get_any_stack(tb);
+ stack = get_any_stack(tb);
if (mpi.some_limitation) {
if ((this = find_next_from_pb_key(tb, stack, mpi.most)) != NULL) {
diff --git a/erts/emulator/beam/erl_nif.c b/erts/emulator/beam/erl_nif.c
index 4e479c26ef..f8e964e2cf 100644
--- a/erts/emulator/beam/erl_nif.c
+++ b/erts/emulator/beam/erl_nif.c
@@ -409,8 +409,18 @@ static void full_flush_env(ErlNifEnv* env)
static void full_cache_env(ErlNifEnv* env)
{
#ifdef ERTS_DIRTY_SCHEDULERS
- if (env->proc->static_flags & ERTS_STC_FLG_SHADOW_PROC)
+ if (env->proc->static_flags & ERTS_STC_FLG_SHADOW_PROC) {
erts_cache_dirty_shadow_proc(env->proc);
+ /*
+ * If shadow proc had heap fragments when flushed
+ * those have now been moved to the real proc.
+ * Ensure heap pointers do not point into a heap
+ * fragment on real proc...
+ */
+ ASSERT(!env->proc->mbuf);
+ env->hp_end = HEAP_LIMIT(env->proc);
+ env->hp = HEAP_TOP(env->proc);
+ }
#endif
cache_env(env);
}
diff --git a/erts/emulator/beam/erl_process.c b/erts/emulator/beam/erl_process.c
index 0090a7f69c..6779d9f218 100644
--- a/erts/emulator/beam/erl_process.c
+++ b/erts/emulator/beam/erl_process.c
@@ -4227,6 +4227,8 @@ dequeue_process(ErtsRunQueue *runq, int prio_q, erts_aint32_t *statep)
ERTS_SMP_DATA_DEPENDENCY_READ_MEMORY_BARRIER;
state = erts_smp_atomic32_read_nob(&p->state);
+ ASSERT(state & ERTS_PSFLG_IN_RUNQ);
+
if (statep)
*statep = state;
@@ -4234,8 +4236,7 @@ dequeue_process(ErtsRunQueue *runq, int prio_q, erts_aint32_t *statep)
rqi = &runq->procs.prio_info[prio];
- if (p)
- unqueue_process(runq, rpq, rqi, prio, NULL, p);
+ unqueue_process(runq, rpq, rqi, prio, NULL, p);
return p;
}
@@ -4563,7 +4564,7 @@ evacuate_run_queue(ErtsRunQueue *rq,
erts_smp_runq_unlock(to_rq);
smp_notify_inc_runq(to_rq);
- erts_smp_runq_lock(to_rq);
+ erts_smp_runq_lock(rq);
}
if (rq->ports.start) {
@@ -4644,22 +4645,17 @@ evacuate_run_queue(ErtsRunQueue *rq,
free_proxy_proc(proc);
else {
erts_aint32_t clr_bits;
-#ifdef DEBUG
- erts_aint32_t old;
-#endif
clr_bits = ERTS_PSFLG_IN_RUNQ;
clr_bits |= qbit << ERTS_PSFLGS_IN_PRQ_MASK_OFFSET;
-#ifdef DEBUG
- old =
-#else
- (void)
-#endif
- erts_smp_atomic32_read_band_mb(&proc->state,
- ~clr_bits);
- ASSERT((old & clr_bits) == clr_bits);
+ state = erts_smp_atomic32_read_band_mb(&proc->state, ~clr_bits);
+ ASSERT((state & clr_bits) == clr_bits);
+ if (state & ERTS_PSFLG_FREE) {
+ /* free and not queued by proxy */
+ erts_proc_dec_refc(proc);
+ }
}
goto handle_next_proc;
@@ -6781,13 +6777,14 @@ fin_dirty_enq_s_change(Process *p,
/* Already enqueue by someone else... */
if (pstruct_reserved) {
/* We reserved process struct for enqueue; clear it... */
-#ifdef DEBUG
- erts_aint32_t old =
-#else
- (void)
-#endif
- erts_smp_atomic32_read_band_nob(&p->state, ~ERTS_PSFLG_IN_RUNQ);
- ASSERT(old & ERTS_PSFLG_IN_RUNQ);
+ erts_aint32_t state;
+
+ state = erts_smp_atomic32_read_band_nob(&p->state, ~ERTS_PSFLG_IN_RUNQ);
+ ASSERT(state & ERTS_PSFLG_IN_RUNQ);
+
+ if (state & ERTS_PSFLG_FREE) {
+ erts_proc_dec_refc(p);
+ }
}
return 0;
}
@@ -6958,8 +6955,9 @@ schedule_out_process(ErtsRunQueue *c_rq, erts_aint32_t state, Process *p,
enqueue = ERTS_ENQUEUE_NOT;
n &= ~running_flgs;
- if ((a & (ERTS_PSFLG_ACTIVE_SYS|ERTS_PSFLG_DIRTY_ACTIVE_SYS))
- || (a & (ERTS_PSFLG_ACTIVE|ERTS_PSFLG_SUSPENDED)) == ERTS_PSFLG_ACTIVE) {
+ if ((!!(a & (ERTS_PSFLG_ACTIVE_SYS|ERTS_PSFLG_DIRTY_ACTIVE_SYS))
+ | ((a & (ERTS_PSFLG_ACTIVE|ERTS_PSFLG_SUSPENDED)) == ERTS_PSFLG_ACTIVE))
+ & !(a & ERTS_PSFLG_FREE)) {
enqueue = check_enqueue_in_prio_queue(p, &enq_prio, &n, a);
}
a = erts_smp_atomic32_cmpxchg_mb(&p->state, n, e);
@@ -7213,129 +7211,72 @@ erts_schedule_process(Process *p, erts_aint32_t state, ErtsProcLocks locks)
schedule_process(p, state, locks);
}
-static int
-schedule_process_sys_task(Process *p, erts_aint32_t prio, ErtsProcSysTask *st,
- erts_aint32_t *fail_state_p)
-{
- int res;
- int locked;
- ErtsProcSysTaskQs *stqs, *free_stqs;
- erts_aint32_t fail_state, state, a, n, enq_prio;
+/* Enqueues the given sys task on the process and schedules it. The task may be
+ * NULL if only scheduling is desired. */
+static ERTS_INLINE erts_aint32_t
+active_sys_enqueue(Process *p, ErtsProcSysTask *sys_task,
+ erts_aint32_t task_prio, erts_aint32_t enable_flags,
+ erts_aint32_t state, erts_aint32_t *fail_state_p)
+{
+ int runnable_procs = erts_system_profile_flags.runnable_procs;
+ erts_aint32_t n, a, enq_prio, fail_state;
+ int already_scheduled;
+ int status_locked;
int enqueue; /* < 0 -> use proxy */
- unsigned int prof_runnable_procs;
+ enable_flags |= ERTS_PSFLG_ACTIVE_SYS;
fail_state = *fail_state_p;
-
- res = 1; /* prepare for success */
- st->next = st->prev = st; /* Prep for empty prio queue */
- state = erts_smp_atomic32_read_nob(&p->state);
- prof_runnable_procs = erts_system_profile_flags.runnable_procs;
- locked = 0;
- free_stqs = NULL;
- if (state & ERTS_PSFLG_ACTIVE_SYS)
- stqs = NULL;
- else {
- alloc_qs:
- stqs = proc_sys_task_queues_alloc();
- stqs->qmask = 1 << prio;
- stqs->ncount = 0;
- stqs->q[PRIORITY_MAX] = NULL;
- stqs->q[PRIORITY_HIGH] = NULL;
- stqs->q[PRIORITY_NORMAL] = NULL;
- stqs->q[PRIORITY_LOW] = NULL;
- stqs->q[prio] = st;
- }
-
- if (!locked) {
- locked = 1;
- erts_smp_proc_lock(p, ERTS_PROC_LOCK_STATUS);
-
- state = erts_smp_atomic32_read_nob(&p->state);
- if (state & fail_state) {
- *fail_state_p = (state & fail_state);
- free_stqs = stqs;
- res = 0;
- goto cleanup;
- }
- }
-
- if (!p->sys_task_qs) {
- if (stqs)
- p->sys_task_qs = stqs;
- else
- goto alloc_qs;
- }
- else {
- free_stqs = stqs;
- stqs = p->sys_task_qs;
- if (!stqs->q[prio]) {
- stqs->q[prio] = st;
- stqs->qmask |= 1 << prio;
- }
- else {
- st->next = stqs->q[prio];
- st->prev = stqs->q[prio]->prev;
- st->next->prev = st;
- st->prev->next = st;
- ASSERT(stqs->qmask & (1 << prio));
- }
- }
-
- if (ERTS_PSFLGS_GET_ACT_PRIO(state) > prio) {
- erts_aint32_t n, a, e;
- /* Need to elevate actual prio */
-
- a = state;
- do {
- if (ERTS_PSFLGS_GET_ACT_PRIO(a) <= prio) {
- n = a;
- break;
- }
- n = e = a;
- n &= ~ERTS_PSFLGS_ACT_PRIO_MASK;
- n |= (prio << ERTS_PSFLGS_ACT_PRIO_OFFSET);
- a = erts_smp_atomic32_cmpxchg_nob(&p->state, n, e);
- } while (a != e);
- state = n;
- }
-
-
- a = state;
+ already_scheduled = 0;
+ status_locked = 0;
enq_prio = -1;
+ a = state;
- /* Status lock prevents out of order "runnable proc" trace msgs */
- ERTS_SMP_LC_ASSERT(ERTS_PROC_LOCK_STATUS & erts_proc_lc_my_proc_locks(p));
+ ERTS_SMP_LC_ASSERT(!(ERTS_PROC_LOCK_STATUS & erts_proc_lc_my_proc_locks(p)));
+ ASSERT(fail_state & (ERTS_PSFLG_EXITING | ERTS_PSFLG_FREE));
+ ASSERT(!(fail_state & enable_flags));
+ ASSERT(!(state & ERTS_PSFLG_PROXY));
- if (!prof_runnable_procs) {
- erts_smp_proc_unlock(p, ERTS_PROC_LOCK_STATUS);
- locked = 0;
+ /* When runnable_procs is enabled, we need to take the status lock to
+ * prevent trace messages from being sent in the wrong order. The lock must
+ * be held over the call to add2runq.
+ *
+ * Otherwise, we only need to take it when we're enqueuing a task and can
+ * safely release it before add2runq. */
+ if (sys_task || runnable_procs) {
+ erts_smp_proc_lock(p, ERTS_PROC_LOCK_STATUS);
+ status_locked = 1;
}
- ASSERT(!(state & ERTS_PSFLG_PROXY));
-
while (1) {
erts_aint32_t e;
n = e = a;
- if (a & ERTS_PSFLG_FREE)
- goto cleanup; /* We don't want to schedule free processes... */
+ if (a & fail_state) {
+ *fail_state_p = a & fail_state;
+ goto cleanup;
+ }
enqueue = ERTS_ENQUEUE_NOT;
- n |= ERTS_PSFLG_ACTIVE_SYS;
+ n |= enable_flags;
+
if (!(a & (ERTS_PSFLG_RUNNING
| ERTS_PSFLG_RUNNING_SYS
| ERTS_PSFLG_DIRTY_RUNNING
- | ERTS_PSFLG_DIRTY_RUNNING_SYS)))
+ | ERTS_PSFLG_DIRTY_RUNNING_SYS))) {
enqueue = check_enqueue_in_prio_queue(p, &enq_prio, &n, a);
+ }
+
a = erts_smp_atomic32_cmpxchg_mb(&p->state, n, e);
- if (a == e)
+ if (a == e) {
break;
- if (a == n && enqueue == ERTS_ENQUEUE_NOT)
- goto cleanup;
+ }
+ else if (a == n && enqueue == ERTS_ENQUEUE_NOT) {
+ already_scheduled = 1;
+ break;
+ }
}
- if (prof_runnable_procs) {
-
+ if (!already_scheduled && runnable_procs) {
if (!(a & (ERTS_PSFLG_ACTIVE_SYS
| ERTS_PSFLG_RUNNING
| ERTS_PSFLG_RUNNING_SYS
@@ -7345,24 +7286,89 @@ schedule_process_sys_task(Process *p, erts_aint32_t prio, ErtsProcSysTask *st,
/* We activated a prevously inactive process */
profile_runnable_proc(p, am_active);
}
+ }
- erts_smp_proc_unlock(p, ERTS_PROC_LOCK_STATUS);
- locked = 0;
+ if (sys_task) {
+ ErtsProcSysTaskQs *stqs = p->sys_task_qs;
+
+ if (!stqs) {
+ sys_task->next = sys_task->prev = sys_task;
+
+ stqs = proc_sys_task_queues_alloc();
+
+ stqs->qmask = 1 << task_prio;
+ stqs->ncount = 0;
+ stqs->q[PRIORITY_MAX] = NULL;
+ stqs->q[PRIORITY_HIGH] = NULL;
+ stqs->q[PRIORITY_NORMAL] = NULL;
+ stqs->q[PRIORITY_LOW] = NULL;
+ stqs->q[task_prio] = sys_task;
+
+ p->sys_task_qs = stqs;
+ }
+ else {
+ if (!stqs->q[task_prio]) {
+ sys_task->next = sys_task->prev = sys_task;
+
+ stqs->q[task_prio] = sys_task;
+ stqs->qmask |= 1 << task_prio;
+ }
+ else {
+ sys_task->next = stqs->q[task_prio];
+ sys_task->prev = stqs->q[task_prio]->prev;
+ sys_task->next->prev = sys_task;
+ sys_task->prev->next = sys_task;
+ ASSERT(stqs->qmask & (1 << task_prio));
+ }
+ }
+ }
+
+ if (status_locked && !runnable_procs) {
+ erts_smp_proc_unlock(p, ERTS_PROC_LOCK_STATUS);
+ status_locked = 0;
}
- add2runq(enqueue, enq_prio, p, n, NULL);
+ if (!already_scheduled) {
+ add2runq(enqueue, enq_prio, p, n, NULL);
+ }
cleanup:
+ if (status_locked) {
+ erts_smp_proc_unlock(p, ERTS_PROC_LOCK_STATUS);
+ }
- if (locked)
- erts_smp_proc_unlock(p, ERTS_PROC_LOCK_STATUS);
+ return n;
+}
- if (free_stqs)
- proc_sys_task_queues_free(free_stqs);
+static int
+schedule_process_sys_task(Process *p, erts_aint32_t prio, ErtsProcSysTask *st,
+ erts_aint32_t *fail_state_p)
+{
+ erts_aint32_t fail_state, state;
- ERTS_SMP_LC_ASSERT(!(ERTS_PROC_LOCK_STATUS & erts_proc_lc_my_proc_locks(p)));
+ /* Elevate priority if needed. */
+ state = erts_smp_atomic32_read_nob(&p->state);
+ if (ERTS_PSFLGS_GET_ACT_PRIO(state) > prio) {
+ erts_aint32_t n, a, e;
- return res;
+ a = state;
+ do {
+ if (ERTS_PSFLGS_GET_ACT_PRIO(a) <= prio) {
+ n = a;
+ break;
+ }
+ n = e = a;
+ n &= ~ERTS_PSFLGS_ACT_PRIO_MASK;
+ n |= (prio << ERTS_PSFLGS_ACT_PRIO_OFFSET);
+ a = erts_smp_atomic32_cmpxchg_nob(&p->state, n, e);
+ } while (a != e);
+
+ state = n;
+ }
+
+ fail_state = *fail_state_p;
+
+ return !(active_sys_enqueue(p, st, prio, 0, state, fail_state_p) & fail_state);
}
static ERTS_INLINE int
@@ -10818,6 +10824,7 @@ Process *erts_schedule(ErtsSchedulerData *esdp, Process *p, int calls)
}
else if (state & ERTS_PSFLG_FREE) {
/* free and not queued by proxy */
+ ASSERT(state & ERTS_PSFLG_IN_RUNQ);
erts_proc_dec_refc(p);
}
if (!is_normal_sched)
@@ -14131,7 +14138,9 @@ erts_continue_exit_process(Process *p)
n = e = a;
ASSERT(a & ERTS_PSFLG_EXITING);
n |= ERTS_PSFLG_FREE;
- n &= ~ERTS_PSFLG_ACTIVE;
+ n &= ~(ERTS_PSFLG_ACTIVE
+ | ERTS_PSFLG_ACTIVE_SYS
+ | ERTS_PSFLG_DIRTY_ACTIVE_SYS);
if ((n & ERTS_PSFLG_IN_RUNQ) && !refc_inced) {
erts_proc_inc_refc(p);
refc_inced = 1;
diff --git a/erts/emulator/beam/utils.c b/erts/emulator/beam/utils.c
index d7116bd2c3..5fc42f231a 100644
--- a/erts/emulator/beam/utils.c
+++ b/erts/emulator/beam/utils.c
@@ -3142,7 +3142,7 @@ tailrecur_ne:
ASSERT(alen == blen);
for (i = (Sint) alen - 1; i >= 0; i--)
if (anum[i] != bnum[i])
- RETURN_NEQ((Sint32) (anum[i] - bnum[i]));
+ RETURN_NEQ(anum[i] < bnum[i] ? -1 : 1);
goto pop_next;
case (_TAG_HEADER_EXTERNAL_REF >> _TAG_PRIMARY_SIZE):
if (is_internal_ref(b)) {