path: root/erts/emulator/beam/erl_hashmap.c

/*
 * %CopyrightBegin%
 *
 * Copyright Ericsson AB 2011. All Rights Reserved.
 *
 * The contents of this file are subject to the Erlang Public License,
 * Version 1.1, (the "License"); you may not use this file except in
 * compliance with the License. You should have received a copy of the
 * Erlang Public License along with this software. If not, it can be
 * retrieved online at http://www.erlang.org/.
 *
 * Software distributed under the License is distributed on an "AS IS"
 * basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
 * the License for the specific language governing rights and limitations
 * under the License.
 *
 * %CopyrightEnd%
 *
 * hashmaps are an adaption of Rich Hickeys Persistent HashMaps
 *   which were an adaption of Phil Bagwells - Hash Array Mapped Tries
 *
 * Author: Björn-Egil Dahlberg
 */
/*
 * Ls = lists:seq(1,188888).
 * A = lists:foldl(fun(I,O) -> hashmap:put(I,I,O) end, hashmap:new(), Ls).
 * lists:foreach(fun(I) -> io:format("looking up ~p got ~p~n", [I, hashmap:get(I, A)]), I = hashmap:get(I,A) end, Ls).
 *
 * lists:foldl(fun(I,O) -> hashmap:put(I,I,O) end, hashmap:new(), lists:seq(1,7)).
 * lists:foldl(fun(I,O) -> hashmap:info(O), hashmap:put(I,I,O) end, hashmap:new(), lists:seq(1,5)).
 *
 */

#ifdef HAVE_CONFIG_H
#  include "config.h"
#endif

#include "sys.h"
#include "erl_vm.h"
#include "global.h"
#include "erl_process.h"
#include "error.h"
#include "bif.h"

#include "erl_hashmap.h"

#ifndef DECL_AM
#define DECL_AM(S) Eterm AM_ ## S = am_atom_put(#S, sizeof(#S) - 1)
#endif

#define hashmap_make_hash(Key) make_hash_vsn(Key, 3)

#define hashmap_restore_hash(Heap,Lvl,Key) \
    (((Lvl) < 8) ? hashmap_make_hash(Key) >> (4*(Lvl)) : hashmap_make_hash(CONS(Heap, make_small((Lvl)>>3), (Key))) >> (4*((Lvl) & 7)))
#define hashmap_shift_hash(Heap,Hx,Lvl,Key) \
    (((++(Lvl)) & 7) ? (Hx) >> 4 : hashmap_make_hash(CONS(Heap, make_small((Lvl)>>3), Key)))

#if 0
static char *format_binary(Uint64 x, char *b) {
    int z;
    b[64] = '\0';
    for (z = 0; z < 64; z++) { 
	b[63-z] = ((x>>z) & 0x1) ? '1' : '0'; 
    }
    return b;
}
#endif

static Eterm hashmap_insert(Process *p, Uint32 hx, Eterm key, Eterm value, Eterm node, int is_update);
static const Eterm *hashmap_get(Uint32 hx, Eterm key, Eterm node);
static Eterm hashmap_delete(Process *p, Uint32 hx, Eterm key, Eterm node);
static Eterm hashmap_to_list(Process *p, Eterm map);
static Eterm hashmap_keys(Process *p, Eterm map);
static Eterm hashmap_values(Process *p, Eterm map);
static Eterm hashmap_merge(Process *p, Eterm nodeA, Eterm nodeB);
static Eterm hashmap_bld_tuple_uint(Uint **hpp, Uint *szp, Uint n, Uint nums[]);


/* hashmap:new/0 */

BIF_RETTYPE hashmap_new_0(BIF_ALIST_0) {
    Eterm* hp;
    hashmap_head_t *head;

    hp   = HAlloc(BIF_P, HAMT_HEAD_EMPTY_SZ);
    head = (hashmap_head_t *) hp;

    head->thing_word = MAP_HEADER_HAMT_HEAD_BITMAP(0);
    head->size       = 0;

    BIF_RET(make_hashmap(head));
}

/* hashmap:put/3 */

BIF_RETTYPE hashmap_put_3(BIF_ALIST_3) {
    if (is_hashmap(BIF_ARG_3)) {
	Uint32 hx = hashmap_make_hash(BIF_ARG_1);
	Eterm map;

	map = hashmap_insert(BIF_P, hx, BIF_ARG_1, BIF_ARG_2, BIF_ARG_3, 0);
	ASSERT(is_hashmap(map));
	BIF_RET(map);
    }
    BIF_ERROR(BIF_P, BADARG);
}

/* hashmap:update/3 */

BIF_RETTYPE hashmap_update_3(BIF_ALIST_3) {
    if (is_hashmap(BIF_ARG_3)) {
	Uint32 hx = hashmap_make_hash(BIF_ARG_1);
	Eterm map;

	map = hashmap_insert(BIF_P, hx, BIF_ARG_1, BIF_ARG_2, BIF_ARG_3, 1);
	if (is_value(map))
	    BIF_RET(map);
    }
    BIF_ERROR(BIF_P, BADARG);
}

/* hashmap:to_list/1 */

BIF_RETTYPE hashmap_to_list_1(BIF_ALIST_1) {
    if (is_hashmap(BIF_ARG_1)) {
	return hashmap_to_list(BIF_P, BIF_ARG_1);
    }

    BIF_ERROR(BIF_P, BADARG);
}

/* hashmap:get/2 */

BIF_RETTYPE hashmap_get_2(BIF_ALIST_2) {
    if (is_hashmap(BIF_ARG_2)) {
	const Eterm *value;
	Uint32 hx = hashmap_make_hash(BIF_ARG_1);

	if ((value = hashmap_get(hx, BIF_ARG_1, BIF_ARG_2)) != NULL) {
	    BIF_RET(*value);
	}
    }
    BIF_ERROR(BIF_P, BADARG);
}

/* hashmap:find/2 */

BIF_RETTYPE hashmap_find_2(BIF_ALIST_2) {
    if (is_hashmap(BIF_ARG_2)) {
	Eterm *hp, res;
	const Eterm *value;
	Uint32 hx = hashmap_make_hash(BIF_ARG_1);

	if ((value = hashmap_get(hx, BIF_ARG_1, BIF_ARG_2)) != NULL) {
	    hp    = HAlloc(BIF_P, 3);
	    res   = make_tuple(hp);
	    *hp++ = make_arityval(2);
	    *hp++ = am_ok;
            *hp++ = *value;
	    BIF_RET(res);
	}
	BIF_RET(am_error);
    }
    BIF_ERROR(BIF_P, BADARG);
}


/* hashmap:remove/2 */

BIF_RETTYPE hashmap_remove_2(BIF_ALIST_2) {
    if (is_hashmap(BIF_ARG_2)) {
	Uint32 hx = hashmap_make_hash(BIF_ARG_1);

	BIF_RET(hashmap_delete(BIF_P, hx, BIF_ARG_1, BIF_ARG_2));
    }
    BIF_ERROR(BIF_P, BADARG);
}
/* hashmap:size/1 */

BIF_RETTYPE hashmap_size_1(BIF_ALIST_1) {
    if (is_hashmap(BIF_ARG_1)) {
	Eterm *head, *hp, res;
	Uint size, hsz=0;

	head = hashmap_val(BIF_ARG_1);
	size = head[1];
	(void) erts_bld_uint(NULL, &hsz, size);
	hp = HAlloc(BIF_P, hsz);
	res = erts_bld_uint(&hp, NULL, size);
	BIF_RET(res);
    }
    BIF_ERROR(BIF_P, BADARG);
}

/* erlang:is_hashmap/1 */

BIF_RETTYPE is_hashmap_1(BIF_ALIST_1) {
    if (is_hashmap(BIF_ARG_1)) {
	BIF_RET(am_true);
    }
    BIF_RET(am_false);
}

/* hashmap:is_key/2
 */

BIF_RETTYPE hashmap_is_key_2(BIF_ALIST_2) {
    if (is_hashmap(BIF_ARG_1)) {
	Uint32 hx = hashmap_make_hash(BIF_ARG_1);

	BIF_RET(hashmap_get(hx, BIF_ARG_1, BIF_ARG_2) ? am_true : am_false);
    }
    BIF_ERROR(BIF_P, BADARG);
}

/* hashmap:keys/1
 */

BIF_RETTYPE hashmap_keys_1(BIF_ALIST_1) {
    if (is_hashmap(BIF_ARG_1)) {
	BIF_RET(hashmap_keys(BIF_P, BIF_ARG_1));
    }
    BIF_ERROR(BIF_P, BADARG);
}

/* hashmap:keys/1
 */

BIF_RETTYPE hashmap_values_1(BIF_ALIST_1) {
    if (is_hashmap(BIF_ARG_1)) {
	BIF_RET(hashmap_values(BIF_P, BIF_ARG_1));
    }
    BIF_ERROR(BIF_P, BADARG);
}

BIF_RETTYPE hashmap_merge_2(BIF_ALIST_2) {
    if (is_hashmap(BIF_ARG_1) && is_hashmap(BIF_ARG_2)) {
	BIF_RET(hashmap_merge(BIF_P, BIF_ARG_1, BIF_ARG_2));
    }
    BIF_ERROR(BIF_P, BADARG);
}

/* impl. */

static const Eterm *hashmap_get(Uint32 hx, Eterm key, Eterm node) {
    Eterm *ptr, hdr;
    Eterm th[2];
    Uint ix,slot, lvl = 0;
    Uint32 hval,bp;

    for (;;) {
	switch(primary_tag(node)) {
	    case TAG_PRIMARY_LIST: /* LEAF NODE [K|V] */
		ptr = list_val(node);
		if (EQ(CAR(ptr), key)) {
		    return &(CDR(ptr));
		}
		return NULL;
	    case TAG_PRIMARY_BOXED:
		ptr = boxed_val(node);
		hdr = *ptr;
		ASSERT(is_header(hdr));

		switch(hdr & _HEADER_MAP_SUBTAG_MASK) {
		    case HAMT_SUBTAG_NODE_ARRAY:
			ix   = hashmap_index(hx);
			hx   = hashmap_shift_hash(th,hx,lvl,key);
			node = ptr[ix+1];
			break;
		    case HAMT_SUBTAG_HEAD_ARRAY:
			ix   = hashmap_index(hx);
			hx   = hashmap_shift_hash(th,hx,lvl,key);
			node = ptr[ix+2];
			break;
		    case HAMT_SUBTAG_NODE_BITMAP:
			hval = MAP_HEADER_VAL(hdr);
			ix   = hashmap_index(hx);
			bp   = 1 << ix;
			slot = hashmap_bitcount(hval & (bp - 1));

			/* occupied */
			if (bp & hval) {
			    hx    = hashmap_shift_hash(th,hx,lvl,key);
			    node  = ptr[slot+1];
			    break;
			}
			/* not occupied */
			return NULL;
		    case HAMT_SUBTAG_HEAD_BITMAP:
			hval = MAP_HEADER_VAL(hdr);
			ix   = hashmap_index(hx);
			bp   = 1 << ix;
			slot = hashmap_bitcount(hval & (bp - 1));

			/* occupied */
			if (bp & hval) {
			    hx    = hashmap_shift_hash(th,hx,lvl,key);
			    node  = ptr[slot+2];
			    break;
			}
			/* not occupied */
			return NULL;
		    default:
			erl_exit(1, "bad header tag %ld\r\n", hdr & _HEADER_MAP_SUBTAG_MASK);
			break;
		}
		break;
	    default:
		erl_exit(1, "bad primary tag %p\r\n", node);
		break;
	}
    }
    return NULL;
}

static Eterm hashmap_insert(Process *p, Uint32 hx, Eterm key, Eterm value,
			    Eterm node, int is_update) {
    Eterm *hp = NULL, *nhp = NULL;
    Eterm *ptr;
    Eterm hdr,res,ckey,fake;
    Eterm th[2];
    Uint32 ix, cix, bp, hval, chx;
    Uint slot, lvl = 0, clvl;
    Uint size = 0, n = 0, update_size = 1;
    DECLARE_ESTACK(stack);

    for (;;) {
	switch(primary_tag(node)) {
	    case TAG_PRIMARY_LIST: /* LEAF NODE [K|V] */
		ptr  = list_val(node);
		ckey = CAR(ptr);
		if (EQ(ckey, key)) {
		    update_size = 0;
		    goto unroll;
		}
		if (is_update) {
		    res = THE_NON_VALUE;
		    goto bail_out;
		}
		goto insert_subnodes;
	    case TAG_PRIMARY_BOXED:
		ptr = boxed_val(node);
		hdr = *ptr;
		ASSERT(is_header(hdr));

		switch(hdr & _HEADER_MAP_SUBTAG_MASK) {
		    case HAMT_SUBTAG_NODE_ARRAY:
			ix    = hashmap_index(hx);
			hx    = hashmap_shift_hash(th,hx,lvl,key);
			size += HAMT_NODE_ARRAY_SZ;
			ESTACK_PUSH2(stack, ix, node);
			node  = ptr[ix+1];
			break;
		    case HAMT_SUBTAG_HEAD_ARRAY:
			ix    = hashmap_index(hx);
			hx    = hashmap_shift_hash(th,hx,lvl,key);
			size += HAMT_HEAD_ARRAY_SZ;
			ESTACK_PUSH2(stack, ix, node);
			node  = ptr[ix+2];
			break;
		    case HAMT_SUBTAG_NODE_BITMAP:
			hval = MAP_HEADER_VAL(hdr);
			ix   = hashmap_index(hx);
			bp   = 1 << ix;
			slot = hashmap_bitcount(hval & (bp - 1));
			n    = hashmap_bitcount(hval);

			ESTACK_PUSH(stack, n);
			ESTACK_PUSH3(stack, bp, slot, node);

			/* occupied */
			if (bp & hval) {
			    hx    = hashmap_shift_hash(th,hx,lvl,key);
			    node  = ptr[slot+1];
			    ASSERT(HAMT_NODE_BITMAP_SZ(n) <= 17); 
			    size += HAMT_NODE_BITMAP_SZ(n);
			    break;
			}
			/* not occupied */
			if (is_update) {
			    res = THE_NON_VALUE;
			    goto bail_out;
			}
			size += HAMT_NODE_BITMAP_SZ(n+1);
			goto unroll;
		    case HAMT_SUBTAG_HEAD_BITMAP:
			hval = MAP_HEADER_VAL(hdr);
			ix   = hashmap_index(hx);
			bp   = 1 << ix;
			slot = hashmap_bitcount(hval & (bp - 1));
			n    = hashmap_bitcount(hval);

			ESTACK_PUSH(stack, n);
			ESTACK_PUSH3(stack, bp, slot, node);

			/* occupied */
			if (bp & hval) {
			    hx    = hashmap_shift_hash(th,hx,lvl,key);
			    node  = ptr[slot+2];
			    ASSERT(HAMT_HEAD_BITMAP_SZ(n) <= 18); 
			    size += HAMT_HEAD_BITMAP_SZ(n);
			    break;
			}
			/* not occupied */
			if (is_update) {
			    res = THE_NON_VALUE;
			    goto bail_out;
			}
			size += HAMT_HEAD_BITMAP_SZ(n+1);
			goto unroll;
		    default:
			erl_exit(1, "bad header tag %ld\r\n", hdr & _HEADER_MAP_SUBTAG_MASK);
			break;
		}
		break;
	    default:
		erl_exit(1, "bad primary tag %p\r\n", node);
		break;
	}
    }
insert_subnodes:
    clvl  = lvl;
    chx   = hashmap_restore_hash(th,clvl,ckey);
    size += HAMT_NODE_BITMAP_SZ(2);
    ix    = hashmap_index(hx);
    cix   = hashmap_index(chx);

    while (cix == ix) {
	ESTACK_PUSH(stack, 0);
	ESTACK_PUSH3(stack, 1 << ix, 0, MAP_HEADER_HAMT_NODE_BITMAP(0));
	size += HAMT_NODE_BITMAP_SZ(1);
	hx    = hashmap_shift_hash(th,hx,lvl,key);
	chx   = hashmap_shift_hash(th,chx,clvl,ckey);
	ix    = hashmap_index(hx);
	cix   = hashmap_index(chx);
    }
    ESTACK_PUSH3(stack, cix, ix, node);

unroll:
    size += 2;
    hp  = HAlloc(p, size);
    res = CONS(hp, key, value); hp += 2;

    do {
	node = ESTACK_POP(stack);
	switch(primary_tag(node)) {
	    case TAG_PRIMARY_LIST:
		ix   = (Uint32) ESTACK_POP(stack);
		cix  = (Uint32) ESTACK_POP(stack);

		nhp   = hp;
		*hp++ = MAP_HEADER_HAMT_NODE_BITMAP((1 << ix) | (1 << cix));
		if (ix < cix) {
		    *hp++ = res;
		    *hp++ = node;
		} else {
		    *hp++ = node;
		    *hp++ = res;
		}
		res = make_hashmap(nhp);
		break;
	    case TAG_PRIMARY_HEADER:
		/* subnodes, fake it */
		fake = node;
		node = make_boxed(&fake);
	    case TAG_PRIMARY_BOXED:
		ptr = boxed_val(node);
		hdr = *ptr;
		ASSERT(is_header(hdr));

		switch(hdr & _HEADER_MAP_SUBTAG_MASK) {
		    case HAMT_SUBTAG_NODE_ARRAY:
			slot  = (Uint)   ESTACK_POP(stack);
			nhp   = hp;
			n     = HAMT_NODE_ARRAY_SZ;
			while(n--) { *hp++ = *ptr++; }
			nhp[slot+1] = res;
			res = make_hashmap(nhp);
			break;
		    case HAMT_SUBTAG_HEAD_ARRAY:
			slot  = (Uint)   ESTACK_POP(stack);
			nhp   = hp;
			n     = HAMT_HEAD_ARRAY_SZ - 2;
			*hp++ = MAP_HEADER_HAMT_HEAD_ARRAY; ptr++;
			*hp++ = (*ptr++) + update_size;
			while(n--) { *hp++ = *ptr++; }
			nhp[slot+2] = res;
			res = make_hashmap(nhp);
			break;
		    case HAMT_SUBTAG_NODE_BITMAP:
			slot  = (Uint)   ESTACK_POP(stack);
			bp    = (Uint32) ESTACK_POP(stack);
			n     = (Uint32) ESTACK_POP(stack);
			hval  = MAP_HEADER_VAL(hdr);
			nhp   = hp;
			*hp++ = MAP_HEADER_HAMT_NODE_BITMAP(hval | bp); ptr++;

			n -= slot;
			while(slot--) { *hp++ = *ptr++; }
			*hp++ = res;
			if (hval & bp) { ptr++; n--; }
			while(n--) { *hp++ = *ptr++; }

			if ((hval | bp) == 0xffff) {
			    *nhp = make_arityval(16);
			}
			res = make_hashmap(nhp);
			break;
		    case HAMT_SUBTAG_HEAD_BITMAP:
			slot  = (Uint)   ESTACK_POP(stack);
			bp    = (Uint32) ESTACK_POP(stack);
			n     = (Uint32) ESTACK_POP(stack);
			hval  = MAP_HEADER_VAL(hdr);
			nhp   = hp;
			*hp++ = MAP_HEADER_HAMT_HEAD_BITMAP(hval | bp); ptr++;
			*hp++ = (*ptr++) + update_size;

			n -= slot;
			while(slot--) { *hp++ = *ptr++; }
			*hp++ = res;
			if (hval & bp) { ptr++; n--; }
			while(n--) { *hp++ = *ptr++; }

			if ((hval | bp) == 0xffff) {
			    *nhp = MAP_HEADER_HAMT_HEAD_ARRAY;
			}
			res = make_hashmap(nhp);
			break;
		    default:
			erl_exit(1, "bad header tag %x\r\n", hdr & _HEADER_MAP_SUBTAG_MASK);
			break;
		}
		break;
	    default:
		erl_exit(1, "bad primary tag %x\r\n", primary_tag(node));
		break;
	}

    } while(!ESTACK_ISEMPTY(stack));

bail_out:
    DESTROY_ESTACK(stack);
    ERTS_VERIFY_UNUSED_TEMP_ALLOC(p);
    ERTS_HOLE_CHECK(p);
    return res;
}

static Eterm hashmap_delete(Process *p, Uint32 hx, Eterm key, Eterm node) {
    Eterm *hp = NULL, *nhp = NULL, *hp_end = NULL;
    Eterm th[2];
    Eterm *ptr;
    Eterm hdr,res = node;
    Uint32 ix, bp, hval;
    Uint slot, lvl = 0;
    Uint size = 0, n = 0;
    DECLARE_ESTACK(stack);

    for (;;) {
	switch(primary_tag(node)) {
	    case TAG_PRIMARY_LIST:
		if (EQ(CAR(list_val(node)), key)) {
		    goto unroll;
		}
		goto not_found;
	    case TAG_PRIMARY_BOXED:
		ptr = boxed_val(node);
		hdr = *ptr;
		ASSERT(is_header(hdr));

		switch(hdr & _HEADER_MAP_SUBTAG_MASK) {
		    case HAMT_SUBTAG_NODE_ARRAY:
			ix    = hashmap_index(hx);
			hx    = hashmap_shift_hash(th,hx,lvl,key);
			size += HAMT_NODE_ARRAY_SZ;
			ESTACK_PUSH2(stack, ix, node);
			node  = ptr[ix+1];
			break;
		    case HAMT_SUBTAG_HEAD_ARRAY:
			ix    = hashmap_index(hx);
			hx    = hashmap_shift_hash(th,hx,lvl,key);
			size += HAMT_HEAD_ARRAY_SZ;
			ESTACK_PUSH2(stack, ix, node);
			node  = ptr[ix+2];
			break;
		    case HAMT_SUBTAG_NODE_BITMAP:
			hval = MAP_HEADER_VAL(hdr);
			ix   = hashmap_index(hx);
			bp   = 1 << ix;
			slot = hashmap_bitcount(hval & (bp - 1));
			n    = hashmap_bitcount(hval);

			ESTACK_PUSH(stack, n);
			ESTACK_PUSH3(stack, bp, slot, node);

			/* occupied */
			if (bp & hval) {
			    hx    = hashmap_shift_hash(th,hx,lvl,key);
			    node  = ptr[slot+1];
			    ASSERT(HAMT_NODE_BITMAP_SZ(n) <= 17);
			    size += HAMT_NODE_BITMAP_SZ(n);
			    break;
			}
			/* not occupied */
			goto not_found;
		    case HAMT_SUBTAG_HEAD_BITMAP:
			hval = MAP_HEADER_VAL(hdr);
			ix   = hashmap_index(hx);
			bp   = 1 << ix;
			slot = hashmap_bitcount(hval & (bp - 1));
			n    = hashmap_bitcount(hval);

			ESTACK_PUSH(stack, n);
			ESTACK_PUSH3(stack, bp, slot, node);

			/* occupied */
			if (bp & hval) {
			    hx    = hashmap_shift_hash(th,hx,lvl,key);
			    node  = ptr[slot+2];
			    ASSERT(HAMT_HEAD_BITMAP_SZ(n) <= 18);
			    size += HAMT_HEAD_BITMAP_SZ(n);
			    break;
			}
			/* not occupied */
			goto not_found;
		    default:
			erl_exit(1, "bad header tag %ld\r\n", hdr & _HEADER_MAP_SUBTAG_MASK);
			break;
		}
		break;
	    default:
		erl_exit(1, "bad primary tag %p\r\n", node);
		break;
	}
    }

unroll:
    /* the size is bounded and atleast one less than the previous size */
    size  -= 1;
    hp     = HAlloc(p, size);
    hp_end = hp + size;
    res    = THE_NON_VALUE;

    do {
	node = ESTACK_POP(stack);

	/* all nodes are things */
	ptr = boxed_val(node);
	hdr = *ptr;
	ASSERT(is_header(hdr));

	switch(hdr & _HEADER_MAP_SUBTAG_MASK) {
	    case HAMT_SUBTAG_NODE_ARRAY:
		ix  = (Uint) ESTACK_POP(stack);
		nhp = hp;
		if (res == THE_NON_VALUE) {
		    *hp++ = MAP_HEADER_HAMT_NODE_BITMAP(0xffff ^ (1 << ix)); ptr++;
		    n     = 16;
		    n    -= ix;
		    while(ix--) { *hp++ = *ptr++; }
		    ptr++; n--;
		    while(n--) { *hp++ = *ptr++; }
		    res = make_hashmap(nhp);
		} else {
		    n = HAMT_NODE_ARRAY_SZ;
		    while(n--) { *hp++ = *ptr++; }
		    nhp[ix+1] = res;
		    res = make_hashmap(nhp);
		}
		break;
	    case HAMT_SUBTAG_HEAD_ARRAY:
		ix  = (Uint) ESTACK_POP(stack);
		nhp = hp;
		if (res == THE_NON_VALUE) {
		    n     = 16;
		    n    -= ix;
		    *hp++ = MAP_HEADER_HAMT_HEAD_BITMAP(0xffff ^ (1 << ix)); ptr++;
		    *hp++ = (*ptr++) - 1;
		    while(ix--) { *hp++ = *ptr++; }
		    ptr++; n--;
		    while(n--) { *hp++ = *ptr++; }
		    res = make_hashmap(nhp);
		} else {
		    n     = 16;
		    *hp++ = MAP_HEADER_HAMT_HEAD_ARRAY; ptr++;
		    *hp++ = (*ptr++) - 1;
		    while(n--) { *hp++ = *ptr++; }
		    nhp[ix+2] = res;
		    res = make_hashmap(nhp);
		}
		break;
	    case HAMT_SUBTAG_NODE_BITMAP:
		slot = (Uint)   ESTACK_POP(stack);
		bp   = (Uint32) ESTACK_POP(stack);
		n    = (Uint32) ESTACK_POP(stack);
		nhp  = hp;

		/* bitmap change matrix
		 * res | none    leaf    bitmap
		 * ----------------------------
		 * n=1 | remove  remove  keep
		 * n=2 | other   keep    keep
		 * n>2 | shrink  keep    keep
		 *
		 * other: (remember, n is 2)
		 *   shrink if the other bitmap value is a bitmap node
		 *   remove if the other bitmap value is a leaf
		 *
		 * remove:
		 *   this bitmap node is removed, res is moved up in tree (could be none)
		 *   this is a special case of shrink
		 *
		 * keep:
		 *   the current path index is still used down in the tree, need to keep it
		 *   copy as usual with the updated res
		 *
		 * shrink:
		 *   the current path index is no longer used down in the tree, remove it (shrink)
		 */
		if (res == THE_NON_VALUE) {
		    if (n == 1) {
			break;
		    } else if (n == 2) {
			if (slot == 0) {
			    ix = 2; /* off by one 'cause hdr */
			} else {
			    ix = 1; /* off by one 'cause hdr */
			}
			if (primary_tag(ptr[ix]) == TAG_PRIMARY_LIST) {
			    res = ptr[ix];
			} else {
			    hval  = MAP_HEADER_VAL(hdr);
			    *hp++ = MAP_HEADER_HAMT_NODE_BITMAP(hval ^ bp);
			    *hp++ = ptr[ix];
			    res = make_hashmap(nhp);
			}
		    } else {
			/* n > 2 */
			hval  = MAP_HEADER_VAL(hdr);
			*hp++ = MAP_HEADER_HAMT_NODE_BITMAP(hval ^ bp); ptr++;
			n    -= slot;
			while(slot--) { *hp++ = *ptr++; }
			ptr++; n--;
			while(n--) { *hp++ = *ptr++; }
			res = make_hashmap(nhp);
		    }
		} else if (primary_tag(res) == TAG_PRIMARY_LIST && n == 1) {
		    break;
		} else {
		    /* res is bitmap or leaf && n > 1, keep */
		    n    -= slot;
		    *hp++ = *ptr++;
		    while(slot--) { *hp++ = *ptr++; }
		    *hp++ = res;
		    ptr++; n--;
		    while(n--) { *hp++ = *ptr++; }
		    res = make_hashmap(nhp);
		}
		break;
	    case HAMT_SUBTAG_HEAD_BITMAP:
		slot = (Uint)   ESTACK_POP(stack);
		bp   = (Uint32) ESTACK_POP(stack);
		n    = (Uint32) ESTACK_POP(stack);
		nhp  = hp;

		if (res != THE_NON_VALUE) {
		    *hp++ = *ptr++;
		    *hp++ = (*ptr++) - 1;
		    n    -= slot;
		    while(slot--) { *hp++ = *ptr++; }
		    *hp++ = res;
		    ptr++; n--;
		    while(n--) { *hp++ = *ptr++; }
		} else {
		    hval  = MAP_HEADER_VAL(hdr);
		    *hp++ = MAP_HEADER_HAMT_HEAD_BITMAP(hval ^ bp); ptr++;
		    *hp++ = (*ptr++) - 1;
		    n    -= slot;
		    while(slot--) { *hp++ = *ptr++; }
		    ptr++; n--;
		    while(n--) { *hp++ = *ptr++; }
		}
		res = make_hashmap(nhp);
		break;
	    default:
		erl_exit(1, "bad header tag %x\r\n", hdr & _HEADER_MAP_SUBTAG_MASK);
		break;
	}
    } while(!ESTACK_ISEMPTY(stack));
    HRelease(p, hp_end, hp);
not_found:
    DESTROY_ESTACK(stack);
    ERTS_VERIFY_UNUSED_TEMP_ALLOC(p);
    ERTS_HOLE_CHECK(p);
    return res;
}

#define HALLOC_EXTRA 200

static Eterm hashmap_merge(Process *p, Eterm nodeA, Eterm nodeB) {
#define PSTACK_TYPE struct HashmapMergePStackType
    struct HashmapMergePStackType {
	Eterm *srcA, *srcB;
	Uint32 abm, bbm, rbm;        /* node bitmaps */
	int keepA;
	int ix;
	Eterm array[16];
    };
    PSTACK_DECLARE(s, 4);
    struct HashmapMergePStackType* sp = PSTACK_PUSH(s);
    Eterm *hp, *nhp;
    Eterm hdrA, hdrB;
    Eterm th[2];
    Uint32 ahx, bhx;
    Uint size;  /* total key-value counter */
    int keepA = 0;
    unsigned lvl = 0;
    Eterm res = THE_NON_VALUE;

    /*
     * Strategy: Do depth-first traversal of both trees (at the same time)
     * and merge each pair of nodes.
     */

    {
	hashmap_head_t* a = (hashmap_head_t*) hashmap_val(nodeA);
	hashmap_head_t* b = (hashmap_head_t*) hashmap_val(nodeB);
	size = a->size + b->size;
    }

recurse:

    if (primary_tag(nodeA) == TAG_PRIMARY_BOXED &&
	primary_tag(nodeB) == TAG_PRIMARY_LIST) {
	/* Avoid implementing this combination by switching places */
	Eterm tmp = nodeA;
	nodeA = nodeB;
	nodeB = tmp;
	keepA = !keepA;
    }

    switch (primary_tag(nodeA)) {
    case TAG_PRIMARY_LIST: {
	sp->srcA = list_val(nodeA);
	switch (primary_tag(nodeB)) {
	case TAG_PRIMARY_LIST: { /* LEAF + LEAF */
	    sp->srcB = list_val(nodeB);

	    if (EQ(CAR(sp->srcA), CAR(sp->srcB))) {
		--size;
		res = keepA ? nodeA : nodeB;
	    } else {
		ahx = hashmap_restore_hash(th, lvl, CAR(sp->srcA));
		bhx = hashmap_restore_hash(th, lvl, CAR(sp->srcB));
		sp->abm = 1 << hashmap_index(ahx);
		sp->bbm = 1 << hashmap_index(bhx);

		sp->srcA = &nodeA;
		sp->srcB = &nodeB;
	    }
	    break;
	}
	case TAG_PRIMARY_BOXED: { /* LEAF + NODE */
	    sp->srcB = boxed_val(nodeB);
	    ASSERT(is_header(*sp->srcB));
	    hdrB = *sp->srcB++;

	    ahx = hashmap_restore_hash(th, lvl, CAR(sp->srcA));
	    sp->abm = 1 << hashmap_index(ahx);
	    sp->srcA = &nodeA;
	    switch(hdrB & _HEADER_MAP_SUBTAG_MASK) {
	    case HAMT_SUBTAG_HEAD_ARRAY: sp->srcB++;
	    case HAMT_SUBTAG_NODE_ARRAY:
		sp->bbm = 0xffff;
		break;

	    case HAMT_SUBTAG_HEAD_BITMAP: sp->srcB++;
	    case HAMT_SUBTAG_NODE_BITMAP:
		sp->bbm = MAP_HEADER_VAL(hdrB);
		break;

	    default:
		erl_exit(1, "bad header tag %ld\r\n", *sp->srcB & _HEADER_MAP_SUBTAG_MASK);
		break;
	    }
	    break;
	}
	default:
	    erl_exit(1, "bad primary tag %ld\r\n", nodeB);
	}
	break;
    }
    case TAG_PRIMARY_BOXED: { /* NODE + NODE */
	sp->srcA = boxed_val(nodeA);
	hdrA = *sp->srcA++;
	ASSERT(is_header(hdrA));
	switch (hdrA & _HEADER_MAP_SUBTAG_MASK) {
	case HAMT_SUBTAG_HEAD_ARRAY: sp->srcA++;
	case HAMT_SUBTAG_NODE_ARRAY: {
	    ASSERT(primary_tag(nodeB) == TAG_PRIMARY_BOXED);
	    sp->abm = 0xffff;
	    sp->srcB = boxed_val(nodeB);
	    hdrB = *sp->srcB++;
	    ASSERT(is_header(hdrB));
	    switch (hdrB & _HEADER_MAP_SUBTAG_MASK) {
	    case HAMT_SUBTAG_HEAD_ARRAY: sp->srcB++;
	    case HAMT_SUBTAG_NODE_ARRAY:
		sp->bbm = 0xffff;
		break;
	    case HAMT_SUBTAG_HEAD_BITMAP: sp->srcB++;
	    case HAMT_SUBTAG_NODE_BITMAP:
		sp->bbm = MAP_HEADER_VAL(hdrB);
		break;
	    default:
		erl_exit(1, "bad header tag %ld\r\n", *sp->srcB & _HEADER_MAP_SUBTAG_MASK);
	    }
	    break;
	}
	case HAMT_SUBTAG_HEAD_BITMAP: sp->srcA++;
	case HAMT_SUBTAG_NODE_BITMAP: {
	    ASSERT(primary_tag(nodeB) == TAG_PRIMARY_BOXED);
	    sp->abm = MAP_HEADER_VAL(hdrA);
	    sp->srcB = boxed_val(nodeB);
	    hdrB = *sp->srcB++;
	    ASSERT(is_header(hdrB));
	    switch (hdrB & _HEADER_MAP_SUBTAG_MASK) {
	    case HAMT_SUBTAG_HEAD_ARRAY: sp->srcB++;
	    case HAMT_SUBTAG_NODE_ARRAY:
		sp->bbm = 0xffff;
		break;
	    case HAMT_SUBTAG_HEAD_BITMAP: sp->srcB++;
	    case HAMT_SUBTAG_NODE_BITMAP:
		sp->bbm = MAP_HEADER_VAL(hdrB);
		break;

	    default:
		erl_exit(1, "bad header tag %ld\r\n", *sp->srcB & _HEADER_MAP_SUBTAG_MASK);
	    }
	    break;
	}
	default:
	    erl_exit(1, "bad primary tag %ld\r\n", nodeA);
	}
	break;
    }
    default:
	erl_exit(1, "bad primary tag %ld\r\n", nodeA);
    }

    for (;;) {
	if (is_value(res)) { /* We have a complete (sub-)tree or leaf */
	    if (lvl == 0)
		break;

	    /* Pop from stack and continue build parent node */
	    lvl--;
	    sp = PSTACK_POP(s);
	    sp->array[sp->ix++] = res;
	    res = THE_NON_VALUE;
	    if (sp->rbm) {
		sp->srcA++;
		sp->srcB++;
		keepA = sp->keepA;
	    }
	} else { /* Start build a node */
	    sp->ix = 0;
	    sp->rbm = sp->abm | sp->bbm;
	    ASSERT(!(sp->rbm == 0 && lvl > 0));
	}

	while (sp->rbm) {
	    Uint32 next = sp->rbm & (sp->rbm-1);
	    Uint32 bit = sp->rbm ^ next;
	    sp->rbm = next;
	    if (sp->abm & bit) {
		if (sp->bbm & bit) {
		    /* Bit clash. Push and resolve by recursive merge */
		    if (sp->rbm) {
			sp->keepA = keepA;
		    }
		    nodeA = *sp->srcA;
		    nodeB = *sp->srcB;
		    lvl++;
		    sp = PSTACK_PUSH(s);
		    goto recurse;
		} else {
		    sp->array[sp->ix++] = *sp->srcA++;
		}
	    } else {
		ASSERT(sp->bbm & bit);
		sp->array[sp->ix++] = *sp->srcB++;
	    }
	}

	ASSERT(sp->ix == hashmap_bitcount(sp->abm | sp->bbm));
	if (lvl == 0) {
	    nhp = HAllocX(p, HAMT_HEAD_BITMAP_SZ(sp->ix), HALLOC_EXTRA);
	    hp = nhp;
	    *hp++ = (sp->ix == 16 ? MAP_HEADER_HAMT_HEAD_ARRAY
		     : MAP_HEADER_HAMT_HEAD_BITMAP(sp->abm | sp->bbm));
	    *hp++ = size;
	} else {
	    nhp = HAllocX(p, HAMT_NODE_BITMAP_SZ(sp->ix), HALLOC_EXTRA);
	    hp = nhp;
	    *hp++ = (sp->ix == 16 ? make_arityval(16)
		     : MAP_HEADER_HAMT_NODE_BITMAP(sp->abm | sp->bbm));
	}
	memcpy(hp, sp->array, sp->ix * sizeof(Eterm));
	res = make_boxed(nhp);
    }
    PSTACK_DESTROY(s);
    return res;
}

void hashmap_iterator_init(ErtsWStack* s, Eterm node) {
    WSTACK_PUSH((*s), (UWord)THE_NON_VALUE);  /* end marker */
    WSTACK_PUSH((*s), (UWord)node);
}

Eterm* hashmap_iterator_next(ErtsWStack* s) {
    Eterm node, *ptr, hdr;
    Uint32 sz;

    for (;;) {
        ASSERT(!WSTACK_ISEMPTY((*s)));
	node = (Eterm) WSTACK_POP((*s));
        if (is_non_value(node)) {
            return NULL;
        }
        switch (primary_tag(node)) {
        case TAG_PRIMARY_LIST:
            return list_val(node);

        case TAG_PRIMARY_BOXED:
            ptr = boxed_val(node);
            hdr = *ptr;
            ASSERT(is_header(hdr));
            switch(hdr & _HEADER_MAP_SUBTAG_MASK) {
            case HAMT_SUBTAG_HEAD_ARRAY:
                ptr++;
            case HAMT_SUBTAG_NODE_ARRAY:
                ptr++;
                sz = 16;
                while(sz--) { WSTACK_PUSH((*s), (UWord)ptr[sz]); }
                break;
            case HAMT_SUBTAG_HEAD_BITMAP:
                ptr++;
            case HAMT_SUBTAG_NODE_BITMAP:
                sz = hashmap_bitcount(MAP_HEADER_VAL(hdr));
                ASSERT(sz < 17);
                ptr++;
                while(sz--) { WSTACK_PUSH((*s), (UWord)ptr[sz]); }
                break;
            default:
                erl_exit(1, "bad header");
            }
            break;

        default:
            erl_exit(1, "bad hamt node");
	}
    }
}

static Eterm hashmap_to_list(Process *p, Eterm node) {
    DECLARE_WSTACK(stack);
    hashmap_head_t* root;
    Eterm *hp, *kv;
    Eterm res = NIL;

    root = (hashmap_head_t*) boxed_val(node);
    hp  = HAlloc(p, root->size * (2 + 3));
    hashmap_iterator_init(&stack, node);
    while ((kv=hashmap_iterator_next(&stack)) != NULL) {
	Eterm tup = TUPLE2(hp, CAR(kv), CDR(kv));
	hp += 3;
	res = CONS(hp, tup, res);
	hp += 2;
    }
    DESTROY_WSTACK(stack);
    return res;
}

static Eterm hashmap_keys(Process* p, Eterm node) {
    DECLARE_WSTACK(stack);
    hashmap_head_t* root;
    Eterm *hp, *kv;
    Eterm res = NIL;

    root = (hashmap_head_t*) boxed_val(node);
    hp  = HAlloc(p, root->size * 2);
    hashmap_iterator_init(&stack, node);
    while ((kv=hashmap_iterator_next(&stack)) != NULL) {
	res = CONS(hp, CAR(kv), res);
	hp += 2;
    }
    DESTROY_WSTACK(stack);
    return res;
}

static Eterm hashmap_values(Process* p, Eterm node) {
    DECLARE_WSTACK(stack);
    hashmap_head_t* root;
    Eterm *hp, *kv;
    Eterm res = NIL;

    root = (hashmap_head_t*) boxed_val(node);
    hp  = HAlloc(p, root->size * 2);
    hashmap_iterator_init(&stack, node);
    while ((kv=hashmap_iterator_next(&stack)) != NULL) {
	res = CONS(hp, CDR(kv), res);
	hp += 2;
    }
    DESTROY_WSTACK(stack);
    return res;
}

static int hash_cmp(Uint32 ha, Uint32 hb)
{
    int i;
    for (i=0; i<8; i++) {
	int cmp = (int)(ha & 0xF) - (int)(hb & 0xF);
	if (cmp)
	    return cmp;
	ha >>= 4;
	hb >>= 4;
    }
    return 0;
}

int hashmap_key_hash_cmp(Eterm* ap, Eterm* bp)
{
    Eterm th[2];
    unsigned lvl = 0;

    if (ap && bp) {
	ASSERT(CMP_TERM(CAR(ap), CAR(bp)) != 0);
	for (;;) {
	    Uint32 ha = hashmap_restore_hash(th, lvl, CAR(ap));
	    Uint32 hb = hashmap_restore_hash(th, lvl, CAR(bp));
	    int cmp = hash_cmp(ha, hb);
	    if (cmp)
		return cmp;
	    lvl += 8;
	}
    }
    return ap ? -1 : 1;
}

/* hashmap:info/0 */

static Eterm hashmap_info(Process *p, Eterm node) {
    Eterm *hp;
    Eterm res = NIL, info = NIL;
    Eterm *ptr, tup, hdr;
    Uint sz;
    DECL_AM(depth);
    DECL_AM(leafs);
    DECL_AM(bitmaps);
    DECL_AM(arrays);
    Uint nleaf=0, nbitmap=0, narray=0;
    Uint bitmap_usage[16], leaf_usage[16];
    Uint lvl = 0, clvl;
    DECLARE_ESTACK(stack);

    for (sz = 0; sz < 16; sz++) {
	bitmap_usage[sz] = 0;
	leaf_usage[sz] = 0;
    }

    ptr = boxed_val(node);
    ESTACK_PUSH(stack, 0);
    ESTACK_PUSH(stack, node);
    do {
	node = ESTACK_POP(stack);
	clvl = ESTACK_POP(stack);
	lvl  = MAX(lvl,clvl);
	switch(primary_tag(node)) {
	    case TAG_PRIMARY_LIST:
		nleaf++;
		leaf_usage[clvl] += 1;
		break;
	    case TAG_PRIMARY_BOXED:
		ptr = boxed_val(node);
		hdr = *ptr;
		ASSERT(is_header(hdr));
		switch(hdr & _HEADER_MAP_SUBTAG_MASK) {
		    case HAMT_SUBTAG_NODE_ARRAY:
			narray++;
			sz = 16;
			while(sz--) {
			    ESTACK_PUSH(stack, clvl + 1);
			    ESTACK_PUSH(stack, ptr[sz+1]);
			}
			break;
		    case HAMT_SUBTAG_NODE_BITMAP:
			nbitmap++;
			sz = hashmap_bitcount(MAP_HEADER_VAL(hdr));
			ASSERT(sz < 17);
			bitmap_usage[sz-1] += 1;
			while(sz--) {
			    ESTACK_PUSH(stack, clvl + 1);
			    ESTACK_PUSH(stack, ptr[sz+1]);
			}
			break;
		    case HAMT_SUBTAG_HEAD_BITMAP:
			nbitmap++;
			sz = hashmap_bitcount(MAP_HEADER_VAL(hdr));
			bitmap_usage[sz-1] += 1;
			while(sz--) {
			    ESTACK_PUSH(stack, clvl + 1);
			    ESTACK_PUSH(stack, ptr[sz+2]);
			}
			break;
		    case HAMT_SUBTAG_HEAD_ARRAY:
			narray++;
			sz = 16;
			while(sz--) {
			    ESTACK_PUSH(stack, clvl + 1);
			    ESTACK_PUSH(stack, ptr[sz+2]);
			}
			break;
		    default:
			erl_exit(1, "bad header\r\n");
			break;
		}
	}
    } while(!ESTACK_ISEMPTY(stack));


    /* size */
    sz = 0;
    hashmap_bld_tuple_uint(NULL,&sz,16,leaf_usage);
    hashmap_bld_tuple_uint(NULL,&sz,16,bitmap_usage);

    /* alloc */
    hp   = HAlloc(p, 2+3 + 3*(2+4) + sz);

    info = hashmap_bld_tuple_uint(&hp,NULL,16,leaf_usage);
    tup  = TUPLE3(hp, AM_leafs, make_small(nleaf),info); hp += 4;
    res  = CONS(hp, tup, res); hp += 2;

    info = hashmap_bld_tuple_uint(&hp,NULL,16,bitmap_usage);
    tup  = TUPLE3(hp, AM_bitmaps, make_small(nbitmap), info); hp += 4;
    res  = CONS(hp, tup, res); hp += 2;

    tup  = TUPLE3(hp, AM_arrays, make_small(narray),NIL); hp += 4;
    res  = CONS(hp, tup, res); hp += 2;

    tup  = TUPLE2(hp, AM_depth, make_small(lvl)); hp += 3;
    res  = CONS(hp, tup, res); hp += 2;

    DESTROY_ESTACK(stack);
    ERTS_HOLE_CHECK(p);
    return res;
}

static Eterm hashmap_bld_tuple_uint(Uint **hpp, Uint *szp, Uint n, Uint nums[]) {
    Eterm res = THE_NON_VALUE;
    Eterm *ts = (Eterm *)erts_alloc(ERTS_ALC_T_TMP, n * sizeof(Eterm));
    Uint i;

    for (i = 0; i < n; i++) {
	ts[i] = erts_bld_uint(hpp, szp, nums[i]);
    }
    res = erts_bld_tuplev(hpp, szp, n, ts);
    erts_free(ERTS_ALC_T_TMP, (void *) ts);
    return res;
}

BIF_RETTYPE hashmap_info_1(BIF_ALIST_1) {
    if (is_hashmap(BIF_ARG_1)) {
	BIF_RET(hashmap_info(BIF_P,BIF_ARG_1));
    }
    BIF_ERROR(BIF_P, BADARG);
}