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[smatch.git] / avl.c

/*
 * Copyright (C) 2010 Joseph Adams <joeyadams3.14159@gmail.com>
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * all copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 * THE SOFTWARE.
 */

#include <assert.h>
#include <stdlib.h>

#include "smatch.h"
#include "smatch_slist.h"

static AvlNode *mkNode(const struct sm_state *sm);
static void freeNode(AvlNode *node);

static AvlNode *lookup(const struct stree *avl, AvlNode *node, const struct sm_state *sm);

static bool insert_sm(struct stree *avl, AvlNode **p, const struct sm_state *sm);
static bool remove_sm(struct stree *avl, AvlNode **p, const struct sm_state *sm, AvlNode **ret);
static bool removeExtremum(AvlNode **p, int side, AvlNode **ret);

static int sway(AvlNode **p, int sway);
static void balance(AvlNode **p, int side);

static bool checkBalances(AvlNode *node, int *height);
static bool checkOrder(struct stree *avl);
static size_t countNode(AvlNode *node);

int unfree_stree;

/*
 * Utility macros for converting between
 * "balance" values (-1 or 1) and "side" values (0 or 1).
 *
 * bal(0)   == -1
 * bal(1)   == +1
 * side(-1) == 0
 * side(+1) == 1
 */
#define bal(side) ((side) == 0 ? -1 : 1)
#define side(bal) ((bal)  == 1 ?  1 : 0)

struct stree *avl_new(void)
{
        struct stree *avl = malloc(sizeof(*avl));

        unfree_stree++;
        assert(avl != NULL);

        avl->root = NULL;
        avl->count = 0;
        avl->stree_id = 0;
        avl->references = 1;
        return avl;
}

void free_stree(struct stree **avl)
{
        if (!*avl)
                return;

        assert((*avl)->references > 0);

        (*avl)->references--;
        if ((*avl)->references != 0) {
                *avl = NULL;
                return;
        }

        unfree_stree--;

        freeNode((*avl)->root);
        free(*avl);
        *avl = NULL;
}

struct sm_state *avl_lookup(const struct stree *avl, const struct sm_state *sm)
{
        AvlNode *found;

        if (!avl)
                return NULL;
        found = lookup(avl, avl->root, sm);
        if (!found)
                return NULL;
        return (struct sm_state *)found->sm;
}

AvlNode *avl_lookup_node(const struct stree *avl, const struct sm_state *sm)
{
        return lookup(avl, avl->root, sm);
}

size_t stree_count(const struct stree *avl)
{
        if (!avl)
                return 0;
        return avl->count;
}

static struct stree *clone_stree_real(struct stree *orig)
{
        struct stree *new = avl_new();
        AvlIter i;

        avl_foreach(i, orig)
                avl_insert(&new, i.sm);

        return new;
}

bool avl_insert(struct stree **avl, const struct sm_state *sm)
{
        size_t old_count;

        if (!*avl)
                *avl = avl_new();
        if ((*avl)->references > 1) {
                (*avl)->references--;
                *avl = clone_stree_real(*avl);
        }
        old_count = (*avl)->count;
        insert_sm(*avl, &(*avl)->root, sm);
        return (*avl)->count != old_count;
}

bool avl_remove(struct stree **avl, const struct sm_state *sm)
{
        AvlNode *node = NULL;

        if (!*avl)
                return false;
        /* it's fairly rare for smatch to call avl_remove */
        if ((*avl)->references > 1) {
                (*avl)->references--;
                *avl = clone_stree_real(*avl);
        }

        remove_sm(*avl, &(*avl)->root, sm, &node);

        if ((*avl)->count == 0)
                free_stree(avl);

        if (node == NULL) {
                return false;
        } else {
                free(node);
                return true;
        }
}

static AvlNode *mkNode(const struct sm_state *sm)
{
        AvlNode *node = malloc(sizeof(*node));

        assert(node != NULL);

        node->sm = sm;
        node->lr[0] = NULL;
        node->lr[1] = NULL;
        node->balance = 0;
        return node;
}

static void freeNode(AvlNode *node)
{
        if (node) {
                freeNode(node->lr[0]);
                freeNode(node->lr[1]);
                free(node);
        }
}

static AvlNode *lookup(const struct stree *avl, AvlNode *node, const struct sm_state *sm)
{
        int cmp;

        if (node == NULL)
                return NULL;

        cmp = cmp_tracker(sm, node->sm);

        if (cmp < 0)
                return lookup(avl, node->lr[0], sm);
        if (cmp > 0)
                return lookup(avl, node->lr[1], sm);
        return node;
}

/*
 * Insert an sm into a subtree, rebalancing if necessary.
 *
 * Return true if the subtree's height increased.
 */
static bool insert_sm(struct stree *avl, AvlNode **p, const struct sm_state *sm)
{
        if (*p == NULL) {
                *p = mkNode(sm);
                avl->count++;
                return true;
        } else {
                AvlNode *node = *p;
                int      cmp  = cmp_tracker(sm, node->sm);

                if (cmp == 0) {
                        node->sm = sm;
                        return false;
                }

                if (!insert_sm(avl, &node->lr[side(cmp)], sm))
                        return false;

                /* If tree's balance became -1 or 1, it means the tree's height grew due to insertion. */
                return sway(p, cmp) != 0;
        }
}

/*
 * Remove the node matching the given sm.
 * If present, return the removed node through *ret .
 * The returned node's lr and balance are meaningless.
 *
 * Return true if the subtree's height decreased.
 */
static bool remove_sm(struct stree *avl, AvlNode **p, const struct sm_state *sm, AvlNode **ret)
{
        if (p == NULL || *p == NULL) {
                return false;
        } else {
                AvlNode *node = *p;
                int      cmp  = cmp_tracker(sm, node->sm);

                if (cmp == 0) {
                        *ret = node;
                        avl->count--;

                        if (node->lr[0] != NULL && node->lr[1] != NULL) {
                                AvlNode *replacement;
                                int      side;
                                bool     shrunk;

                                /* Pick a subtree to pull the replacement from such that
                                 * this node doesn't have to be rebalanced. */
                                side = node->balance <= 0 ? 0 : 1;

                                shrunk = removeExtremum(&node->lr[side], 1 - side, &replacement);

                                replacement->lr[0]   = node->lr[0];
                                replacement->lr[1]   = node->lr[1];
                                replacement->balance = node->balance;
                                *p = replacement;

                                if (!shrunk)
                                        return false;

                                replacement->balance -= bal(side);

                                /* If tree's balance became 0, it means the tree's height shrank due to removal. */
                                return replacement->balance == 0;
                        }

                        if (node->lr[0] != NULL)
                                *p = node->lr[0];
                        else
                                *p = node->lr[1];

                        return true;

                } else {
                        if (!remove_sm(avl, &node->lr[side(cmp)], sm, ret))
                                return false;

                        /* If tree's balance became 0, it means the tree's height shrank due to removal. */
                        return sway(p, -cmp) == 0;
                }
        }
}

/*
 * Remove either the left-most (if side == 0) or right-most (if side == 1)
 * node in a subtree, returning the removed node through *ret .
 * The returned node's lr and balance are meaningless.
 *
 * The subtree must not be empty (i.e. *p must not be NULL).
 *
 * Return true if the subtree's height decreased.
 */
static bool removeExtremum(AvlNode **p, int side, AvlNode **ret)
{
        AvlNode *node = *p;

        if (node->lr[side] == NULL) {
                *ret = node;
                *p = node->lr[1 - side];
                return true;
        }

        if (!removeExtremum(&node->lr[side], side, ret))
                return false;

        /* If tree's balance became 0, it means the tree's height shrank due to removal. */
        return sway(p, -bal(side)) == 0;
}

/*
 * Rebalance a node if necessary.  Think of this function
 * as a higher-level interface to balance().
 *
 * sway must be either -1 or 1, and indicates what was added to
 * the balance of this node by a prior operation.
 *
 * Return the new balance of the subtree.
 */
static int sway(AvlNode **p, int sway)
{
        if ((*p)->balance != sway)
                (*p)->balance += sway;
        else
                balance(p, side(sway));

        return (*p)->balance;
}

/*
 * Perform tree rotations on an unbalanced node.
 *
 * side == 0 means the node's balance is -2 .
 * side == 1 means the node's balance is +2 .
 */
static void balance(AvlNode **p, int side)
{
        AvlNode  *node  = *p,
                 *child = node->lr[side];
        int opposite    = 1 - side;
        int bal         = bal(side);

        if (child->balance != -bal) {
                /* Left-left (side == 0) or right-right (side == 1) */
                node->lr[side]      = child->lr[opposite];
                child->lr[opposite] = node;
                *p = child;

                child->balance -= bal;
                node->balance = -child->balance;

        } else {
                /* Left-right (side == 0) or right-left (side == 1) */
                AvlNode *grandchild = child->lr[opposite];

                node->lr[side]           = grandchild->lr[opposite];
                child->lr[opposite]      = grandchild->lr[side];
                grandchild->lr[side]     = child;
                grandchild->lr[opposite] = node;
                *p = grandchild;

                node->balance       = 0;
                child->balance      = 0;

                if (grandchild->balance == bal)
                        node->balance  = -bal;
                else if (grandchild->balance == -bal)
                        child->balance = bal;

                grandchild->balance = 0;
        }
}


/************************* avl_check_invariants() *************************/

bool avl_check_invariants(struct stree *avl)
{
        int    dummy;

        return checkBalances(avl->root, &dummy)
            && checkOrder(avl)
            && countNode(avl->root) == avl->count;
}

static bool checkBalances(AvlNode *node, int *height)
{
        if (node) {
                int h0, h1;

                if (!checkBalances(node->lr[0], &h0))
                        return false;
                if (!checkBalances(node->lr[1], &h1))
                        return false;

                if (node->balance != h1 - h0 || node->balance < -1 || node->balance > 1)
                        return false;

                *height = (h0 > h1 ? h0 : h1) + 1;
                return true;
        } else {
                *height = 0;
                return true;
        }
}

static bool checkOrder(struct stree *avl)
{
        AvlIter     i;
        const struct sm_state *last = NULL;
        bool        last_set = false;

        avl_foreach(i, avl) {
                if (last_set && cmp_tracker(last, i.sm) >= 0)
                        return false;
                last     = i.sm;
                last_set = true;
        }

        return true;
}

static size_t countNode(AvlNode *node)
{
        if (node)
                return 1 + countNode(node->lr[0]) + countNode(node->lr[1]);
        else
                return 0;
}


/************************* Traversal *************************/

void avl_iter_begin(AvlIter *iter, struct stree *avl, AvlDirection dir)
{
        AvlNode *node;

        iter->stack_index = 0;
        iter->direction   = dir;

        if (!avl || !avl->root) {
                iter->sm      = NULL;
                iter->node     = NULL;
                return;
        }
        node = avl->root;

        while (node->lr[dir] != NULL) {
                iter->stack[iter->stack_index++] = node;
                node = node->lr[dir];
        }

        iter->sm   = (struct sm_state *) node->sm;
        iter->node  = node;
}

void avl_iter_next(AvlIter *iter)
{
        AvlNode     *node = iter->node;
        AvlDirection dir  = iter->direction;

        if (node == NULL)
                return;

        node = node->lr[1 - dir];
        if (node != NULL) {
                while (node->lr[dir] != NULL) {
                        iter->stack[iter->stack_index++] = node;
                        node = node->lr[dir];
                }
        } else if (iter->stack_index > 0) {
                node = iter->stack[--iter->stack_index];
        } else {
                iter->sm      = NULL;
                iter->node     = NULL;
                return;
        }

        iter->node  = node;
        iter->sm   = (struct sm_state *) node->sm;
}

struct stree *clone_stree(struct stree *orig)
{
        if (!orig)
                return NULL;

        orig->references++;
        return orig;
}

void set_stree_id(struct stree **stree, int stree_id)
{
        if ((*stree)->stree_id != 0)
                *stree = clone_stree_real(*stree);

        (*stree)->stree_id = stree_id;
}

int get_stree_id(struct stree *stree)
{
        if (!stree)
                return 0;
        return stree->stree_id;
}