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523 lines
17 KiB
C
523 lines
17 KiB
C
// -*- mode: c; coding: utf-8 -*- */
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//
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// Copyright 2010, 2011, Matthias Andreas Benkard.
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//
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//-----------------------------------------------------------------------------
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// This program is free software: you can redistribute it and/or modify
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// it under the terms of the GNU Affero General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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//
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// This program is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU Affero General Public License for more details.
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//
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// You should have received a copy of the GNU Affero General Public License
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// along with this program. If not, see <http://www.gnu.org/licenses/>.
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//-----------------------------------------------------------------------------
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//
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// An implementation of a bitmapped Patricia tree.
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//// Purpose ////
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//
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// The idea is to use a locally mutable, bitmapped Patricia tree as a
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// variable binding store (i.e. environment) in compiled code. In this
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// way, there is no need for excessive copying when an independent
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// environment must be set up (such as when initiating the processing of
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// a new node in the search space). Instead, significant amounts of
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// structure can be shared between child and parent environments.
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//// Motivation ////
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//
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// 1. Patricia trees are very amenable to structure sharing.
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//
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// 2. Furthermore, big-endian Patricia trees are especially efficient
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// when indices are allocated sequentially, as is the case for
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// variables in code emitted by our compiler.
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//
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// 3. Finally, bitmapping improves the performance of copying because
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// copying an array is much cheaper than copying an equivalent branch
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// in a tree. As we need to shallow-copy the tree at potentially
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// each choice point, copying needs to be fast.
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#include <stdlib.h>
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#include <string.h>
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#include <assert.h>
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#include "bitmapped_patricia_tree.h"
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#ifndef BPT_EXPLICIT_CONFIGURATION
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#define CHUNK_LENGTH 5
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#define KEY_LENGTH 32
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#define OFFSET_MASK 0x1f //((1 << chunk_length) - 1)
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#define MAX_CHUNKS 7 //key_length / chunk_length + ((key_length % chunk_length == 0) ? 0 : 1)
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#define LAST_CHUNK_LENGTH 2 //key_length - ((max_chunks - 1) * chunk_length)
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#endif //!BPT_EXPLICIT_CONFIGURATION
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typedef struct bpt_nonempty *bpt_nonempty_t;
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typedef struct bpt_node *bpt_node_t;
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typedef struct bpt_leaf *bpt_leaf_t;
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struct bpt {
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enum bpt_tag tag;
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int refcount;
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bool mutable;
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bpt_key_t prefix;
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};
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struct bpt_leaf {
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struct bpt bpt; // poor man's inheritance
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void *value;
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#ifdef BPT_ENABLE_DEALLOC_HOOKS
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void (*dealloc_hook)(bpt_key_t, void *); // not actually used anywhere in client code
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#endif
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};
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struct bpt_node {
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struct bpt bpt; // poor man's inheritance
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unsigned int branching_chunk;
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bpt_key_bitmask_t bitmask;
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bpt_t *children;
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};
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// Forward declarations.
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void init_bpt_leaf(bpt_t leaf, bpt_key_t key, void *value);
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bpt_t bpt_make_leaf(bpt_key_t key, void *value);
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// Boilerplate definitions.
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void bpt_retain0(bpt_t bpt, void *user_data) {
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bpt_retain(bpt);
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}
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void bpt_seal0(bpt_t bpt, void *user_data) {
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bpt_seal(bpt);
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}
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void bpt_release0(bpt_t bpt, void *user_data) {
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bpt_release(bpt);
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}
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// Implementation.
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void init_bpt_leaf(bpt_t a_leaf, bpt_key_t key, void *value) {
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bpt_leaf_t leaf = (bpt_leaf_t)a_leaf;
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leaf->bpt.tag = BPT_LEAF;
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leaf->bpt.mutable = true;
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leaf->bpt.prefix = key;
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leaf->value = value;
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#ifdef BPT_ENABLE_DEALLOC_HOOKS
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leaf->dealloc_hook = NULL;
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#endif
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leaf->bpt.refcount = 1;
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}
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void init_bpt_node(bpt_node_t node, bpt_key_t prefix, unsigned int branching_chunk) {
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node->bpt.tag = BPT_INNER_NODE;
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node->bpt.mutable = true;
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node->bpt.prefix = prefix;
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node->branching_chunk = branching_chunk;
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node->bitmask = 0;
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node->children = NULL;
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node->bpt.refcount = 1;
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}
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bpt_t bpt_make_leaf(bpt_key_t key, void *value) {
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bpt_leaf_t leaf = malloc(sizeof *leaf);
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init_bpt_leaf((bpt_t)leaf, key, value);
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return (bpt_t)leaf;
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}
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bpt_node_t bpt_make_node(bpt_key_t prefix, unsigned int branching_chunk) {
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bpt_node_t node = malloc(sizeof *node);
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init_bpt_node(node, prefix, branching_chunk);
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return node;
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}
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static inline unsigned int bpt_number_of_leading_zeros(bpt_key_t x);
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static inline unsigned int bpt_number_of_trailing_zeros(bpt_key_t x);
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static inline unsigned int bpt_popcount(bpt_key_bitmask_t key);
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static unsigned int bpt_compute_child_index(bpt_key_bitmask_t bitmask, unsigned int child_number);
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static inline uint_fast8_t bpt_offset_of_key(bpt_key_t key, unsigned int branching_chunk);
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static bpt_key_t bpt_prefix_of_key(bpt_key_t key, unsigned int branching_chunk);
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static inline unsigned int bpt_branching_chunk(bpt_t bpt);
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static unsigned int bpt_find_diverging_chunk(bpt_key_t key1, bpt_key_t key2);
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static void bpt_for_children(bpt_t bpt, void (*thunk)(bpt_t, void*), void *user_data);
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static void bpt_for_children(bpt_t bpt, void (*thunk)(bpt_t, void*), void *user_data) {
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if (bpt && bpt->tag == BPT_INNER_NODE) {
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bpt_node_t b = (bpt_node_t)bpt;
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bpt_t *iter = b->children;
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bpt_t *children_end = b->children + bpt_popcount(b->bitmask);
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while (iter < children_end) {
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thunk(*iter, user_data);
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iter++;
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}
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}
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}
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void *bpt_get(bpt_t bpt, bpt_key_t key) {
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void **pointer = bpt_get_pointer(bpt, key);
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if (pointer) {
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return *pointer;
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} else {
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return NULL;
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}
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}
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bpt_leaf_t bpt_get_leaf(bpt_t bpt, bpt_key_t key)
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{
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if (!bpt) {
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return NULL;
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} else if (bpt->tag == BPT_LEAF) {
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bpt_leaf_t b = (bpt_leaf_t)bpt;
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if (bpt->prefix == key) {
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return b;
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} else {
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return NULL;
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}
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} else {
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bpt_node_t b = (bpt_node_t)bpt;
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int child_number = bpt_offset_of_key(key, b->branching_chunk);
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if ((1 << child_number) & b->bitmask) {
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int child_index = bpt_compute_child_index(b->bitmask, child_number);
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return bpt_get_leaf(b->children[child_index], key);
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} else {
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return NULL;
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}
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}
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}
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void **bpt_get_pointer(bpt_t bpt, bpt_key_t key)
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{
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bpt_leaf_t leaf = bpt_get_leaf(bpt, key);
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if (!leaf) {
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return NULL;
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} else {
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return &leaf->value;
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}
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}
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bool bpt_has_key(bpt_t bpt, bpt_key_t key) {
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return (bpt_get_leaf(bpt, key) != NULL);
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}
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bpt_t bpt_assoc(bpt_t bpt, bpt_key_t key, void *value) {
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if (!bpt) {
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return (bpt_t)bpt_make_leaf(key, value);
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} else {
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bpt_key_t prefix = bpt->prefix;
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if (bpt_prefix_of_key(key, bpt_branching_chunk(bpt)) != prefix) {
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unsigned int diverging_chunk = bpt_find_diverging_chunk(key, prefix);
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bpt_key_t my_number_in_parent = bpt_offset_of_key(prefix, diverging_chunk);
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bpt_key_t their_number_in_parent = bpt_offset_of_key(key, diverging_chunk);
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bpt_node_t new_node = bpt_make_node(bpt_prefix_of_key(prefix, diverging_chunk), diverging_chunk);
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new_node->bitmask = (1 << my_number_in_parent) | (1 << their_number_in_parent);
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new_node->children = malloc(sizeof (*new_node->children) * 2);
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if (my_number_in_parent < their_number_in_parent) {
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new_node->children[0] = bpt;
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new_node->children[1] = bpt_make_leaf(key, value);
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} else {
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new_node->children[0] = bpt_make_leaf(key, value);
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new_node->children[1] = bpt;
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}
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bpt_retain(bpt);
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return (bpt_t)new_node;
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} else {
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if (bpt->tag == BPT_LEAF) {
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bpt_leaf_t b = (bpt_leaf_t)bpt;
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if (bpt->mutable) {
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b->value = value;
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bpt_retain(bpt);
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return bpt;
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} else {
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return (bpt_t)bpt_make_leaf(key, value);
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}
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} else {
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bpt_node_t b = (bpt_node_t)bpt;
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uint_fast8_t child_number = bpt_offset_of_key(key, b->branching_chunk);
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unsigned int child_index = bpt_compute_child_index(b->bitmask, child_number);
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if ((1 << child_number) & b->bitmask) {
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// We already have a child to pass the value to. Do that.
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bpt_t child = b->children[child_index];
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bpt_t new_child = bpt_assoc(child, key, value);
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if (new_child == child) {
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bpt_release(child);
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bpt_retain(bpt);
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return bpt;
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} else {
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if (bpt->mutable) {
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bpt_release(child);
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b->children[child_index] = new_child;
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bpt_retain(bpt);
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return bpt;
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} else {
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bpt_node_t new_node = malloc(sizeof *new_node);
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*new_node = *b;
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new_node->bpt.refcount = 1;
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new_node->bpt.mutable = true;
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unsigned int number_of_children = bpt_popcount(b->bitmask);
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size_t size_of_child_array = sizeof (*new_node->children) * number_of_children;
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new_node->children = malloc(size_of_child_array);
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memcpy(new_node->children, b->children, size_of_child_array);
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new_node->children[child_index] = new_child;
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// Retain the children copied into the new node.
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bpt_for_children((bpt_t)new_node, bpt_retain0, NULL);
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bpt_release(new_child);
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return (bpt_t)new_node;
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}
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}
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} else {
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// Create a new child.
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unsigned int number_of_children = bpt_popcount(b->bitmask);
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size_t new_size_of_child_array = sizeof (*b->children) * (number_of_children + 1);
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if (bpt->mutable) {
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b->children = realloc(b->children, new_size_of_child_array);
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memmove(b->children + child_index + 1, b->children + child_index, sizeof (*b->children) * (number_of_children - child_index));
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b->children[child_index] = bpt_make_leaf(key, value);
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b->bitmask |= 1 << child_number;
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bpt_retain(bpt);
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return bpt;
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} else {
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bpt_t *new_children = malloc(new_size_of_child_array);
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memcpy(new_children, b->children, sizeof (*b->children) * child_index);
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memcpy(new_children + child_index + 1,
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b->children + child_index,
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sizeof (*b->children) * (number_of_children - child_index));
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new_children[child_index] = bpt_make_leaf(key, value);
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bpt_node_t new_node = bpt_make_node(b->bpt.prefix, b->branching_chunk);
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new_node->children = new_children;
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new_node->bitmask = b->bitmask | (1 << child_number);
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// Retain the children copied into the new node.
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bpt_for_children(bpt, bpt_retain0, NULL);
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return (bpt_t)new_node;
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}
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}
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}
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}
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}
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}
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bpt_t bpt_dissoc(bpt_t bpt, bpt_key_t key) {
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if (!bpt || (bpt_prefix_of_key(key, bpt_branching_chunk(bpt)) != bpt->prefix)) {
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bpt_retain(bpt);
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return bpt;
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} else if (bpt->tag == BPT_LEAF) {
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// Key matches.
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return NULL;
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} else {
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// Prefix matches.
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bpt_node_t b = (bpt_node_t)bpt;
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uint_fast8_t child_number = bpt_offset_of_key(key, b->branching_chunk);
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if ((1 << child_number) & b->bitmask) {
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unsigned int child_index = bpt_compute_child_index(b->bitmask, child_number);
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bpt_t child = b->children[child_index];
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bpt_t new_child = bpt_dissoc(child, key);
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if (new_child == child) {
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bpt_release(child);
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bpt_retain(bpt);
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return bpt;
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} else {
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unsigned int number_of_children = bpt_popcount(b->bitmask);
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if (!new_child && number_of_children == 2) {
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// When there is only a single child left, we replace ourselves
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// with that child.
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bpt_t remaining_child = b->children[1-child_index];
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bpt_retain(remaining_child);
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return remaining_child;
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} else if (bpt->mutable) {
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bpt_release(child);
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if (!new_child) {
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// We don't reallocate the array because it wouldn't really
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// gain us anything (except maybe non-confusion of a
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// conservative GC).
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memmove(b->children + child_index, b->children + child_index + 1, sizeof(*b->children) * (number_of_children - child_index - 1));
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b->bitmask &= ~(1 << child_number);
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bpt_retain(bpt);
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return bpt;
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} else {
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b->children[child_index] = new_child;
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bpt_retain(bpt);
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return bpt;
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}
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} else {
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// If all else fails, allocate a new node.
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bpt_t *new_children;
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bpt_key_bitmask_t bitmask;
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if (!new_child) {
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new_children = malloc((sizeof *new_children) * (number_of_children - 1));
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memcpy(new_children, b->children, sizeof (*b->children) * child_index);
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memcpy(new_children + child_index,
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b->children + child_index + 1,
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sizeof (*b->children) * (number_of_children - child_index - 1));
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bitmask = b->bitmask & ~(1 << child_number);
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} else {
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new_children = malloc((sizeof *new_children) * number_of_children);
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memcpy(new_children, b->children, sizeof (*b->children) * number_of_children);
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new_children[child_index] = new_child;
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bitmask = b->bitmask;
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}
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bpt_node_t new_node = bpt_make_node(b->bpt.prefix, b->branching_chunk);
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new_node->children = new_children;
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new_node->bitmask = bitmask;
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// Retain the children copied into the new node.
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bpt_for_children((bpt_t)new_node, bpt_retain0, NULL);
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bpt_release(new_child);
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return (bpt_t)new_node;
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}
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}
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} else {
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bpt_retain(bpt);
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return bpt;
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}
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}
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}
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void bpt_seal(bpt_t bpt) {
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if (bpt) {
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if (bpt->mutable) {
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bpt->mutable = false;
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if (bpt->tag == BPT_INNER_NODE) {
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bpt_for_children(bpt, bpt_seal0, NULL);
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}
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}
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}
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}
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/////////////// Helper functions ///////////////
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static unsigned int bpt_compute_child_index(bpt_key_bitmask_t bitmask, unsigned int child_number) {
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// Compute the sparse array index given a flat array index.
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return bpt_popcount(bitmask & ((1 << child_number) - 1));
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}
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static inline uint_fast8_t bpt_offset_of_key(bpt_key_t key, unsigned int chunk_number) {
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// Little-enidan:
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//return (key >> (chunk_number * CHUNK_LENGTH)) & OFFSET_MASK;
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// Big-endian:
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int shift = 0;
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if (chunk_number <= MAX_CHUNKS - 2) {
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shift += LAST_CHUNK_LENGTH;
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}
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if (chunk_number <= MAX_CHUNKS - 3) {
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shift += ((MAX_CHUNKS - 2 - chunk_number) * CHUNK_LENGTH);
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}
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return (key >> shift) & (chunk_number == MAX_CHUNKS - 1 ? ((1 << LAST_CHUNK_LENGTH) - 1) : OFFSET_MASK);
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}
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static bpt_key_t bpt_prefix_of_key(bpt_key_t key, unsigned int chunk_number) {
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if (chunk_number == MAX_CHUNKS) {
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return key;
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} else {
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// Little-endian:
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//return key & ((1 << (chunk_number * CHUNK_LENGTH)) - 1)
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// Big-endian:
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return key & (((1 << (chunk_number * CHUNK_LENGTH)) - 1) << (KEY_LENGTH - (chunk_number * CHUNK_LENGTH)));
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}
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}
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static inline unsigned int bpt_branching_chunk(bpt_t bpt) {
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assert(bpt);
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if (bpt->tag == BPT_LEAF) {
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return MAX_CHUNKS;
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} else {
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return ((bpt_node_t)bpt)->branching_chunk;
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}
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}
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static inline unsigned int bpt_popcount(bpt_key_bitmask_t x) {
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return __builtin_popcount(x);
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}
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static inline unsigned int bpt_number_of_leading_zeros(bpt_key_t x) {
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return __builtin_clz(x);
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}
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static inline unsigned int bpt_number_of_trailing_zeros(bpt_key_t x) {
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return __builtin_ctz(x);
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}
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static unsigned int bpt_find_diverging_chunk(bpt_key_t a, bpt_key_t b) {
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// Little-endian:
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//return bpt_number_of_trailing_zeros(a ^ b) / CHUNK_LENGTH;
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// Big-endian:
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return bpt_number_of_leading_zeros(a ^ b) / CHUNK_LENGTH;
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}
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void bpt_retain(bpt_t bpt) {
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if (bpt) {
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__sync_fetch_and_add(&bpt->refcount, 1);
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}
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}
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void bpt_release(bpt_t bpt) {
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if (bpt) {
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if (__sync_sub_and_fetch(&bpt->refcount, 1) == 0) {
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bpt_dealloc(bpt);
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}
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}
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}
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void bpt_dealloc(bpt_t bpt) {
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if (bpt) {
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if (bpt->tag == BPT_LEAF) {
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bpt_leaf_t b = (bpt_leaf_t)bpt;
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#ifdef BPT_ENABLE_DEALLOC_HOOKS
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if (b->dealloc_hook) {
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b->dealloc_hook(b->bpt.prefix, b->value);
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}
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#endif
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free(b);
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} else {
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bpt_node_t b = (bpt_node_t)bpt;
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bpt_for_children(bpt, bpt_release0, NULL);
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free(b->children);
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free(b);
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}
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}
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}
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#ifdef BPT_ENABLE_DEALLOC_HOOKS
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void bpt_leaf_set_dealloc_hook(bpt_leaf_t bpt, void (*hook)(bpt_key_t, void*)) {
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if (bpt) {
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bpt->dealloc_hook = hook;
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}
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}
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|
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void bpt_set_dealloc_hook(bpt_t bpt, bpt_key_t key, void (*hook)(bpt_key_t, void*)) {
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bpt_leaf_set_dealloc_hook(bpt_get_leaf(bpt, key), hook);
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}
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#endif
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/* Utilities */
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|
struct bpt_for_mappings_closure_data {
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|
void (*thunk)(bpt_key_t, void*, void*);
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|
void *user_data;
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|
};
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|
static void bpt_for_mappings_iter(bpt_t bpt, void *closure_data_) {
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|
struct bpt_for_mappings_closure_data *closure_data = closure_data_;
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|
if (bpt->tag == BPT_LEAF) {
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|
bpt_leaf_t leaf = (bpt_leaf_t)bpt;
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closure_data->thunk(bpt->prefix, leaf->value, closure_data->user_data);
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} else {
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bpt_for_children(bpt, bpt_for_mappings_iter, closure_data);
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|
}
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|
}
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|
void bpt_for_mappings(bpt_t bpt, void (*thunk)(bpt_key_t, void*, void*), void *user_data) {
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|
struct bpt_for_mappings_closure_data closure_data =
|
|
{ .user_data = user_data, .thunk = thunk };
|
|
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|
bpt_for_mappings_iter(bpt, &closure_data);
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|
}
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