зеркало из https://github.com/github/putty.git
1612 строки
52 KiB
C
1612 строки
52 KiB
C
/*
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* tree234.c: reasonably generic counted 2-3-4 tree routines.
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*
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* This file is copyright 1999-2001 Simon Tatham.
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*
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* Permission is hereby granted, free of charge, to any person
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* obtaining a copy of this software and associated documentation
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* files (the "Software"), to deal in the Software without
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* restriction, including without limitation the rights to use,
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* copy, modify, merge, publish, distribute, sublicense, and/or
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* sell copies of the Software, and to permit persons to whom the
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* Software is furnished to do so, subject to the following
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* conditions:
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*
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* The above copyright notice and this permission notice shall be
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* included in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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* OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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* NONINFRINGEMENT. IN NO EVENT SHALL SIMON TATHAM BE LIABLE FOR
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* ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF
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* CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
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* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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#include <assert.h>
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#include "defs.h"
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#include "tree234.h"
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#ifdef TEST
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#define LOG(x) (printf x)
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#define snew(type) ((type *)malloc(sizeof(type)))
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#define snewn(n, type) ((type *)malloc((n) * sizeof(type)))
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#define sresize(ptr, n, type) \
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((type *)realloc(sizeof((type *)0 == (ptr)) ? (ptr) : (ptr), \
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(n) * sizeof(type)))
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#define sfree(ptr) free(ptr)
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#else
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#include "puttymem.h"
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#define LOG(x)
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#endif
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typedef struct node234_Tag node234;
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struct tree234_Tag {
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node234 *root;
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cmpfn234 cmp;
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};
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struct node234_Tag {
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node234 *parent;
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node234 *kids[4];
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int counts[4];
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void *elems[3];
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};
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/*
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* Create a 2-3-4 tree.
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*/
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tree234 *newtree234(cmpfn234 cmp)
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{
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tree234 *ret = snew(tree234);
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LOG(("created tree %p\n", ret));
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ret->root = NULL;
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ret->cmp = cmp;
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return ret;
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}
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/*
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* Free a 2-3-4 tree (not including freeing the elements).
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*/
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static void freenode234(node234 * n)
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{
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if (!n)
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return;
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freenode234(n->kids[0]);
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freenode234(n->kids[1]);
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freenode234(n->kids[2]);
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freenode234(n->kids[3]);
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sfree(n);
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}
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void freetree234(tree234 * t)
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{
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freenode234(t->root);
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sfree(t);
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}
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/*
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* Internal function to count a node.
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*/
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static int countnode234(node234 * n)
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{
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int count = 0;
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int i;
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if (!n)
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return 0;
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for (i = 0; i < 4; i++)
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count += n->counts[i];
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for (i = 0; i < 3; i++)
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if (n->elems[i])
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count++;
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return count;
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}
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/*
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* Internal function to return the number of elements in a node.
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*/
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static int elements234(node234 *n)
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{
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int i;
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for (i = 0; i < 3; i++)
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if (!n->elems[i])
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break;
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return i;
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}
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/*
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* Count the elements in a tree.
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*/
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int count234(tree234 * t)
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{
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if (t->root)
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return countnode234(t->root);
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else
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return 0;
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}
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/*
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* Add an element e to a 2-3-4 tree t. Returns e on success, or if
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* an existing element compares equal, returns that.
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*/
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static void *add234_internal(tree234 * t, void *e, int index)
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{
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node234 *n, **np, *left, *right;
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void *orig_e = e;
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int c, lcount, rcount;
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LOG(("adding node %p to tree %p\n", e, t));
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if (t->root == NULL) {
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t->root = snew(node234);
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t->root->elems[1] = t->root->elems[2] = NULL;
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t->root->kids[0] = t->root->kids[1] = NULL;
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t->root->kids[2] = t->root->kids[3] = NULL;
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t->root->counts[0] = t->root->counts[1] = 0;
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t->root->counts[2] = t->root->counts[3] = 0;
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t->root->parent = NULL;
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t->root->elems[0] = e;
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LOG((" created root %p\n", t->root));
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return orig_e;
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}
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n = NULL; /* placate gcc; will always be set below since t->root != NULL */
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np = &t->root;
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while (*np) {
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int childnum;
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n = *np;
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LOG((" node %p: %p/%d [%p] %p/%d [%p] %p/%d [%p] %p/%d\n",
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n,
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n->kids[0], n->counts[0], n->elems[0],
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n->kids[1], n->counts[1], n->elems[1],
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n->kids[2], n->counts[2], n->elems[2],
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n->kids[3], n->counts[3]));
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if (index >= 0) {
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if (!n->kids[0]) {
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/*
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* Leaf node. We want to insert at kid position
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* equal to the index:
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*
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* 0 A 1 B 2 C 3
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*/
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childnum = index;
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} else {
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/*
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* Internal node. We always descend through it (add
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* always starts at the bottom, never in the
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* middle).
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*/
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do { /* this is a do ... while (0) to allow `break' */
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if (index <= n->counts[0]) {
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childnum = 0;
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break;
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}
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index -= n->counts[0] + 1;
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if (index <= n->counts[1]) {
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childnum = 1;
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break;
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}
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index -= n->counts[1] + 1;
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if (index <= n->counts[2]) {
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childnum = 2;
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break;
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}
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index -= n->counts[2] + 1;
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if (index <= n->counts[3]) {
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childnum = 3;
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break;
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}
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return NULL; /* error: index out of range */
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} while (0);
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}
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} else {
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if ((c = t->cmp(e, n->elems[0])) < 0)
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childnum = 0;
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else if (c == 0)
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return n->elems[0]; /* already exists */
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else if (n->elems[1] == NULL
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|| (c = t->cmp(e, n->elems[1])) < 0) childnum = 1;
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else if (c == 0)
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return n->elems[1]; /* already exists */
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else if (n->elems[2] == NULL
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|| (c = t->cmp(e, n->elems[2])) < 0) childnum = 2;
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else if (c == 0)
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return n->elems[2]; /* already exists */
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else
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childnum = 3;
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}
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np = &n->kids[childnum];
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LOG((" moving to child %d (%p)\n", childnum, *np));
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}
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/*
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* We need to insert the new element in n at position np.
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*/
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left = NULL;
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lcount = 0;
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right = NULL;
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rcount = 0;
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while (n) {
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LOG((" at %p: %p/%d [%p] %p/%d [%p] %p/%d [%p] %p/%d\n",
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n,
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n->kids[0], n->counts[0], n->elems[0],
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n->kids[1], n->counts[1], n->elems[1],
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n->kids[2], n->counts[2], n->elems[2],
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n->kids[3], n->counts[3]));
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LOG((" need to insert %p/%d [%p] %p/%d at position %d\n",
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left, lcount, e, right, rcount, (int)(np - n->kids)));
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if (n->elems[1] == NULL) {
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/*
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* Insert in a 2-node; simple.
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*/
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if (np == &n->kids[0]) {
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LOG((" inserting on left of 2-node\n"));
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n->kids[2] = n->kids[1];
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n->counts[2] = n->counts[1];
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n->elems[1] = n->elems[0];
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n->kids[1] = right;
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n->counts[1] = rcount;
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n->elems[0] = e;
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n->kids[0] = left;
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n->counts[0] = lcount;
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} else { /* np == &n->kids[1] */
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LOG((" inserting on right of 2-node\n"));
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n->kids[2] = right;
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n->counts[2] = rcount;
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n->elems[1] = e;
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n->kids[1] = left;
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n->counts[1] = lcount;
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}
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if (n->kids[0])
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n->kids[0]->parent = n;
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if (n->kids[1])
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n->kids[1]->parent = n;
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if (n->kids[2])
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n->kids[2]->parent = n;
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LOG((" done\n"));
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break;
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} else if (n->elems[2] == NULL) {
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/*
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* Insert in a 3-node; simple.
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*/
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if (np == &n->kids[0]) {
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LOG((" inserting on left of 3-node\n"));
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n->kids[3] = n->kids[2];
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n->counts[3] = n->counts[2];
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n->elems[2] = n->elems[1];
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n->kids[2] = n->kids[1];
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n->counts[2] = n->counts[1];
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n->elems[1] = n->elems[0];
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n->kids[1] = right;
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n->counts[1] = rcount;
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n->elems[0] = e;
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n->kids[0] = left;
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n->counts[0] = lcount;
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} else if (np == &n->kids[1]) {
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LOG((" inserting in middle of 3-node\n"));
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n->kids[3] = n->kids[2];
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n->counts[3] = n->counts[2];
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n->elems[2] = n->elems[1];
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n->kids[2] = right;
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n->counts[2] = rcount;
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n->elems[1] = e;
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n->kids[1] = left;
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n->counts[1] = lcount;
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} else { /* np == &n->kids[2] */
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LOG((" inserting on right of 3-node\n"));
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n->kids[3] = right;
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n->counts[3] = rcount;
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n->elems[2] = e;
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n->kids[2] = left;
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n->counts[2] = lcount;
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}
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if (n->kids[0])
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n->kids[0]->parent = n;
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if (n->kids[1])
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n->kids[1]->parent = n;
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if (n->kids[2])
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n->kids[2]->parent = n;
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if (n->kids[3])
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n->kids[3]->parent = n;
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LOG((" done\n"));
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break;
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} else {
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node234 *m = snew(node234);
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m->parent = n->parent;
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LOG((" splitting a 4-node; created new node %p\n", m));
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/*
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* Insert in a 4-node; split into a 2-node and a
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* 3-node, and move focus up a level.
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*
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* I don't think it matters which way round we put the
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* 2 and the 3. For simplicity, we'll put the 3 first
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* always.
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*/
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if (np == &n->kids[0]) {
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m->kids[0] = left;
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m->counts[0] = lcount;
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m->elems[0] = e;
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m->kids[1] = right;
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m->counts[1] = rcount;
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m->elems[1] = n->elems[0];
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m->kids[2] = n->kids[1];
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m->counts[2] = n->counts[1];
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e = n->elems[1];
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n->kids[0] = n->kids[2];
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n->counts[0] = n->counts[2];
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n->elems[0] = n->elems[2];
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n->kids[1] = n->kids[3];
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n->counts[1] = n->counts[3];
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} else if (np == &n->kids[1]) {
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m->kids[0] = n->kids[0];
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m->counts[0] = n->counts[0];
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m->elems[0] = n->elems[0];
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m->kids[1] = left;
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m->counts[1] = lcount;
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m->elems[1] = e;
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m->kids[2] = right;
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m->counts[2] = rcount;
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e = n->elems[1];
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n->kids[0] = n->kids[2];
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n->counts[0] = n->counts[2];
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n->elems[0] = n->elems[2];
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n->kids[1] = n->kids[3];
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n->counts[1] = n->counts[3];
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} else if (np == &n->kids[2]) {
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m->kids[0] = n->kids[0];
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m->counts[0] = n->counts[0];
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m->elems[0] = n->elems[0];
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m->kids[1] = n->kids[1];
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m->counts[1] = n->counts[1];
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m->elems[1] = n->elems[1];
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m->kids[2] = left;
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m->counts[2] = lcount;
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/* e = e; */
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n->kids[0] = right;
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n->counts[0] = rcount;
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n->elems[0] = n->elems[2];
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n->kids[1] = n->kids[3];
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n->counts[1] = n->counts[3];
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} else { /* np == &n->kids[3] */
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m->kids[0] = n->kids[0];
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m->counts[0] = n->counts[0];
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m->elems[0] = n->elems[0];
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m->kids[1] = n->kids[1];
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m->counts[1] = n->counts[1];
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m->elems[1] = n->elems[1];
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m->kids[2] = n->kids[2];
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m->counts[2] = n->counts[2];
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n->kids[0] = left;
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n->counts[0] = lcount;
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n->elems[0] = e;
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n->kids[1] = right;
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n->counts[1] = rcount;
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e = n->elems[2];
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}
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m->kids[3] = n->kids[3] = n->kids[2] = NULL;
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m->counts[3] = n->counts[3] = n->counts[2] = 0;
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m->elems[2] = n->elems[2] = n->elems[1] = NULL;
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if (m->kids[0])
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m->kids[0]->parent = m;
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if (m->kids[1])
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m->kids[1]->parent = m;
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if (m->kids[2])
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m->kids[2]->parent = m;
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if (n->kids[0])
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n->kids[0]->parent = n;
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if (n->kids[1])
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n->kids[1]->parent = n;
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LOG((" left (%p): %p/%d [%p] %p/%d [%p] %p/%d\n", m,
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m->kids[0], m->counts[0], m->elems[0],
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m->kids[1], m->counts[1], m->elems[1],
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m->kids[2], m->counts[2]));
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LOG((" right (%p): %p/%d [%p] %p/%d\n", n,
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n->kids[0], n->counts[0], n->elems[0],
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n->kids[1], n->counts[1]));
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left = m;
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lcount = countnode234(left);
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right = n;
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rcount = countnode234(right);
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}
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if (n->parent)
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np = (n->parent->kids[0] == n ? &n->parent->kids[0] :
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n->parent->kids[1] == n ? &n->parent->kids[1] :
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n->parent->kids[2] == n ? &n->parent->kids[2] :
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&n->parent->kids[3]);
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n = n->parent;
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}
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/*
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* If we've come out of here by `break', n will still be
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* non-NULL and all we need to do is go back up the tree
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* updating counts. If we've come here because n is NULL, we
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* need to create a new root for the tree because the old one
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* has just split into two. */
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if (n) {
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while (n->parent) {
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int count = countnode234(n);
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int childnum;
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childnum = (n->parent->kids[0] == n ? 0 :
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n->parent->kids[1] == n ? 1 :
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n->parent->kids[2] == n ? 2 : 3);
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n->parent->counts[childnum] = count;
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n = n->parent;
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}
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} else {
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LOG((" root is overloaded, split into two\n"));
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t->root = snew(node234);
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t->root->kids[0] = left;
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t->root->counts[0] = lcount;
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t->root->elems[0] = e;
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t->root->kids[1] = right;
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t->root->counts[1] = rcount;
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t->root->elems[1] = NULL;
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t->root->kids[2] = NULL;
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t->root->counts[2] = 0;
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t->root->elems[2] = NULL;
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t->root->kids[3] = NULL;
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t->root->counts[3] = 0;
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t->root->parent = NULL;
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if (t->root->kids[0])
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t->root->kids[0]->parent = t->root;
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if (t->root->kids[1])
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t->root->kids[1]->parent = t->root;
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LOG((" new root is %p/%d [%p] %p/%d\n",
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t->root->kids[0], t->root->counts[0],
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t->root->elems[0], t->root->kids[1], t->root->counts[1]));
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}
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return orig_e;
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}
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void *add234(tree234 * t, void *e)
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{
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if (!t->cmp) /* tree is unsorted */
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return NULL;
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return add234_internal(t, e, -1);
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}
|
|
void *addpos234(tree234 * t, void *e, int index)
|
|
{
|
|
if (index < 0 || /* index out of range */
|
|
t->cmp) /* tree is sorted */
|
|
return NULL; /* return failure */
|
|
|
|
return add234_internal(t, e, index); /* this checks the upper bound */
|
|
}
|
|
|
|
/*
|
|
* Look up the element at a given numeric index in a 2-3-4 tree.
|
|
* Returns NULL if the index is out of range.
|
|
*/
|
|
void *index234(tree234 * t, int index)
|
|
{
|
|
node234 *n;
|
|
|
|
if (!t->root)
|
|
return NULL; /* tree is empty */
|
|
|
|
if (index < 0 || index >= countnode234(t->root))
|
|
return NULL; /* out of range */
|
|
|
|
n = t->root;
|
|
|
|
while (n) {
|
|
if (index < n->counts[0])
|
|
n = n->kids[0];
|
|
else if (index -= n->counts[0] + 1, index < 0)
|
|
return n->elems[0];
|
|
else if (index < n->counts[1])
|
|
n = n->kids[1];
|
|
else if (index -= n->counts[1] + 1, index < 0)
|
|
return n->elems[1];
|
|
else if (index < n->counts[2])
|
|
n = n->kids[2];
|
|
else if (index -= n->counts[2] + 1, index < 0)
|
|
return n->elems[2];
|
|
else
|
|
n = n->kids[3];
|
|
}
|
|
|
|
/* We shouldn't ever get here. I wonder how we did. */
|
|
return NULL;
|
|
}
|
|
|
|
/*
|
|
* Find an element e in a sorted 2-3-4 tree t. Returns NULL if not
|
|
* found. e is always passed as the first argument to cmp, so cmp
|
|
* can be an asymmetric function if desired. cmp can also be passed
|
|
* as NULL, in which case the compare function from the tree proper
|
|
* will be used.
|
|
*/
|
|
void *findrelpos234(tree234 * t, void *e, cmpfn234 cmp,
|
|
int relation, int *index)
|
|
{
|
|
search234_state ss;
|
|
int reldir = (relation == REL234_LT || relation == REL234_LE ? -1 :
|
|
relation == REL234_GT || relation == REL234_GE ? +1 : 0);
|
|
bool equal_permitted = (relation != REL234_LT && relation != REL234_GT);
|
|
void *toret;
|
|
|
|
/* Only LT / GT relations are permitted with a null query element. */
|
|
assert(!(equal_permitted && !e));
|
|
|
|
if (cmp == NULL)
|
|
cmp = t->cmp;
|
|
|
|
search234_start(&ss, t);
|
|
while (ss.element) {
|
|
int cmpret;
|
|
|
|
if (e) {
|
|
cmpret = cmp(e, ss.element);
|
|
} else {
|
|
cmpret = -reldir; /* invent a fixed compare result */
|
|
}
|
|
|
|
if (cmpret == 0) {
|
|
/*
|
|
* We've found an element that compares exactly equal to
|
|
* the query element.
|
|
*/
|
|
if (equal_permitted) {
|
|
/* If our search relation permits equality, we've
|
|
* finished already. */
|
|
if (index)
|
|
*index = ss.index;
|
|
return ss.element;
|
|
} else {
|
|
/* Otherwise, pretend this element was slightly too
|
|
* big/small, according to the direction of search. */
|
|
cmpret = reldir;
|
|
}
|
|
}
|
|
|
|
search234_step(&ss, cmpret);
|
|
}
|
|
|
|
/*
|
|
* No element compares equal to the one we were after, but
|
|
* ss.index indicates the index that element would have if it were
|
|
* inserted.
|
|
*
|
|
* So if our search relation is EQ, we must simply return failure.
|
|
*/
|
|
if (relation == REL234_EQ)
|
|
return NULL;
|
|
|
|
/*
|
|
* Otherwise, we must do an index lookup for the previous index
|
|
* (if we're going left - LE or LT) or this index (if we're going
|
|
* right - GE or GT).
|
|
*/
|
|
if (relation == REL234_LT || relation == REL234_LE) {
|
|
ss.index--;
|
|
}
|
|
|
|
/*
|
|
* We know the index of the element we want; just call index234
|
|
* to do the rest. This will return NULL if the index is out of
|
|
* bounds, which is exactly what we want.
|
|
*/
|
|
toret = index234(t, ss.index);
|
|
if (toret && index)
|
|
*index = ss.index;
|
|
return toret;
|
|
}
|
|
void *find234(tree234 * t, void *e, cmpfn234 cmp)
|
|
{
|
|
return findrelpos234(t, e, cmp, REL234_EQ, NULL);
|
|
}
|
|
void *findrel234(tree234 * t, void *e, cmpfn234 cmp, int relation)
|
|
{
|
|
return findrelpos234(t, e, cmp, relation, NULL);
|
|
}
|
|
void *findpos234(tree234 * t, void *e, cmpfn234 cmp, int *index)
|
|
{
|
|
return findrelpos234(t, e, cmp, REL234_EQ, index);
|
|
}
|
|
|
|
void search234_start(search234_state *state, tree234 *t)
|
|
{
|
|
state->_node = t->root;
|
|
state->_base = 0; /* index of first element in this node's subtree */
|
|
state->_last = -1; /* indicate that this node is not previously visted */
|
|
search234_step(state, 0);
|
|
}
|
|
void search234_step(search234_state *state, int direction)
|
|
{
|
|
node234 *node = state->_node;
|
|
int i;
|
|
|
|
if (!node) {
|
|
state->element = NULL;
|
|
state->index = 0;
|
|
return;
|
|
}
|
|
|
|
if (state->_last != -1) {
|
|
/*
|
|
* We're already pointing at some element of a node, so we
|
|
* should restrict to the elements left or right of it,
|
|
* depending on the requested search direction.
|
|
*/
|
|
assert(direction);
|
|
assert(node);
|
|
|
|
if (direction > 0)
|
|
state->_lo = state->_last + 1;
|
|
else
|
|
state->_hi = state->_last - 1;
|
|
|
|
if (state->_lo > state->_hi) {
|
|
/*
|
|
* We've run out of elements in this node, i.e. we've
|
|
* narrowed to nothing but a child pointer. Descend to
|
|
* that child, and update _base to the leftmost index of
|
|
* its subtree.
|
|
*/
|
|
for (i = 0; i < state->_lo; i++)
|
|
state->_base += 1 + node->counts[i];
|
|
state->_node = node = node->kids[state->_lo];
|
|
state->_last = -1;
|
|
}
|
|
}
|
|
|
|
if (state->_last == -1) {
|
|
/*
|
|
* We've just entered a new node - either because of the above
|
|
* code, or because we were called from search234_start - and
|
|
* anything in that node is a viable answer.
|
|
*/
|
|
state->_lo = 0;
|
|
state->_hi = node ? elements234(node)-1 : 0;
|
|
}
|
|
|
|
/*
|
|
* Now we've got something we can return.
|
|
*/
|
|
if (!node) {
|
|
state->element = NULL;
|
|
state->index = state->_base;
|
|
} else {
|
|
state->_last = (state->_lo + state->_hi) / 2;
|
|
state->element = node->elems[state->_last];
|
|
state->index = state->_base + state->_last;
|
|
for (i = 0; i <= state->_last; i++)
|
|
state->index += node->counts[i];
|
|
}
|
|
}
|
|
|
|
/*
|
|
* Delete an element e in a 2-3-4 tree. Does not free the element,
|
|
* merely removes all links to it from the tree nodes.
|
|
*/
|
|
static void *delpos234_internal(tree234 * t, int index)
|
|
{
|
|
node234 *n;
|
|
void *retval;
|
|
int ei = -1;
|
|
|
|
retval = 0;
|
|
|
|
n = t->root;
|
|
LOG(("deleting item %d from tree %p\n", index, t));
|
|
while (1) {
|
|
while (n) {
|
|
int ki;
|
|
node234 *sub;
|
|
|
|
LOG(
|
|
(" node %p: %p/%d [%p] %p/%d [%p] %p/%d [%p] %p/%d index=%d\n",
|
|
n, n->kids[0], n->counts[0], n->elems[0], n->kids[1],
|
|
n->counts[1], n->elems[1], n->kids[2], n->counts[2],
|
|
n->elems[2], n->kids[3], n->counts[3], index));
|
|
if (index < n->counts[0]) {
|
|
ki = 0;
|
|
} else if (index -= n->counts[0] + 1, index < 0) {
|
|
ei = 0;
|
|
break;
|
|
} else if (index < n->counts[1]) {
|
|
ki = 1;
|
|
} else if (index -= n->counts[1] + 1, index < 0) {
|
|
ei = 1;
|
|
break;
|
|
} else if (index < n->counts[2]) {
|
|
ki = 2;
|
|
} else if (index -= n->counts[2] + 1, index < 0) {
|
|
ei = 2;
|
|
break;
|
|
} else {
|
|
ki = 3;
|
|
}
|
|
/*
|
|
* Recurse down to subtree ki. If it has only one element,
|
|
* we have to do some transformation to start with.
|
|
*/
|
|
LOG((" moving to subtree %d\n", ki));
|
|
sub = n->kids[ki];
|
|
if (!sub->elems[1]) {
|
|
LOG((" subtree has only one element!\n"));
|
|
if (ki > 0 && n->kids[ki - 1]->elems[1]) {
|
|
/*
|
|
* Case 3a, left-handed variant. Child ki has
|
|
* only one element, but child ki-1 has two or
|
|
* more. So we need to move a subtree from ki-1
|
|
* to ki.
|
|
*
|
|
* . C . . B .
|
|
* / \ -> / \
|
|
* [more] a A b B c d D e [more] a A b c C d D e
|
|
*/
|
|
node234 *sib = n->kids[ki - 1];
|
|
int lastelem = (sib->elems[2] ? 2 :
|
|
sib->elems[1] ? 1 : 0);
|
|
sub->kids[2] = sub->kids[1];
|
|
sub->counts[2] = sub->counts[1];
|
|
sub->elems[1] = sub->elems[0];
|
|
sub->kids[1] = sub->kids[0];
|
|
sub->counts[1] = sub->counts[0];
|
|
sub->elems[0] = n->elems[ki - 1];
|
|
sub->kids[0] = sib->kids[lastelem + 1];
|
|
sub->counts[0] = sib->counts[lastelem + 1];
|
|
if (sub->kids[0])
|
|
sub->kids[0]->parent = sub;
|
|
n->elems[ki - 1] = sib->elems[lastelem];
|
|
sib->kids[lastelem + 1] = NULL;
|
|
sib->counts[lastelem + 1] = 0;
|
|
sib->elems[lastelem] = NULL;
|
|
n->counts[ki] = countnode234(sub);
|
|
LOG((" case 3a left\n"));
|
|
LOG(
|
|
(" index and left subtree count before adjustment: %d, %d\n",
|
|
index, n->counts[ki - 1]));
|
|
index += n->counts[ki - 1];
|
|
n->counts[ki - 1] = countnode234(sib);
|
|
index -= n->counts[ki - 1];
|
|
LOG(
|
|
(" index and left subtree count after adjustment: %d, %d\n",
|
|
index, n->counts[ki - 1]));
|
|
} else if (ki < 3 && n->kids[ki + 1]
|
|
&& n->kids[ki + 1]->elems[1]) {
|
|
/*
|
|
* Case 3a, right-handed variant. ki has only
|
|
* one element but ki+1 has two or more. Move a
|
|
* subtree from ki+1 to ki.
|
|
*
|
|
* . B . . C .
|
|
* / \ -> / \
|
|
* a A b c C d D e [more] a A b B c d D e [more]
|
|
*/
|
|
node234 *sib = n->kids[ki + 1];
|
|
int j;
|
|
sub->elems[1] = n->elems[ki];
|
|
sub->kids[2] = sib->kids[0];
|
|
sub->counts[2] = sib->counts[0];
|
|
if (sub->kids[2])
|
|
sub->kids[2]->parent = sub;
|
|
n->elems[ki] = sib->elems[0];
|
|
sib->kids[0] = sib->kids[1];
|
|
sib->counts[0] = sib->counts[1];
|
|
for (j = 0; j < 2 && sib->elems[j + 1]; j++) {
|
|
sib->kids[j + 1] = sib->kids[j + 2];
|
|
sib->counts[j + 1] = sib->counts[j + 2];
|
|
sib->elems[j] = sib->elems[j + 1];
|
|
}
|
|
sib->kids[j + 1] = NULL;
|
|
sib->counts[j + 1] = 0;
|
|
sib->elems[j] = NULL;
|
|
n->counts[ki] = countnode234(sub);
|
|
n->counts[ki + 1] = countnode234(sib);
|
|
LOG((" case 3a right\n"));
|
|
} else {
|
|
/*
|
|
* Case 3b. ki has only one element, and has no
|
|
* neighbour with more than one. So pick a
|
|
* neighbour and merge it with ki, taking an
|
|
* element down from n to go in the middle.
|
|
*
|
|
* . B . .
|
|
* / \ -> |
|
|
* a A b c C d a A b B c C d
|
|
*
|
|
* (Since at all points we have avoided
|
|
* descending to a node with only one element,
|
|
* we can be sure that n is not reduced to
|
|
* nothingness by this move, _unless_ it was
|
|
* the very first node, ie the root of the
|
|
* tree. In that case we remove the now-empty
|
|
* root and replace it with its single large
|
|
* child as shown.)
|
|
*/
|
|
node234 *sib;
|
|
int j;
|
|
|
|
if (ki > 0) {
|
|
ki--;
|
|
index += n->counts[ki] + 1;
|
|
}
|
|
sib = n->kids[ki];
|
|
sub = n->kids[ki + 1];
|
|
|
|
sub->kids[3] = sub->kids[1];
|
|
sub->counts[3] = sub->counts[1];
|
|
sub->elems[2] = sub->elems[0];
|
|
sub->kids[2] = sub->kids[0];
|
|
sub->counts[2] = sub->counts[0];
|
|
sub->elems[1] = n->elems[ki];
|
|
sub->kids[1] = sib->kids[1];
|
|
sub->counts[1] = sib->counts[1];
|
|
if (sub->kids[1])
|
|
sub->kids[1]->parent = sub;
|
|
sub->elems[0] = sib->elems[0];
|
|
sub->kids[0] = sib->kids[0];
|
|
sub->counts[0] = sib->counts[0];
|
|
if (sub->kids[0])
|
|
sub->kids[0]->parent = sub;
|
|
|
|
n->counts[ki + 1] = countnode234(sub);
|
|
|
|
sfree(sib);
|
|
|
|
/*
|
|
* That's built the big node in sub. Now we
|
|
* need to remove the reference to sib in n.
|
|
*/
|
|
for (j = ki; j < 3 && n->kids[j + 1]; j++) {
|
|
n->kids[j] = n->kids[j + 1];
|
|
n->counts[j] = n->counts[j + 1];
|
|
n->elems[j] = j < 2 ? n->elems[j + 1] : NULL;
|
|
}
|
|
n->kids[j] = NULL;
|
|
n->counts[j] = 0;
|
|
if (j < 3)
|
|
n->elems[j] = NULL;
|
|
LOG((" case 3b ki=%d\n", ki));
|
|
|
|
if (!n->elems[0]) {
|
|
/*
|
|
* The root is empty and needs to be
|
|
* removed.
|
|
*/
|
|
LOG((" shifting root!\n"));
|
|
t->root = sub;
|
|
sub->parent = NULL;
|
|
sfree(n);
|
|
}
|
|
}
|
|
}
|
|
n = sub;
|
|
}
|
|
if (!retval)
|
|
retval = n->elems[ei];
|
|
|
|
if (ei == -1)
|
|
return NULL; /* although this shouldn't happen */
|
|
|
|
/*
|
|
* Treat special case: this is the one remaining item in
|
|
* the tree. n is the tree root (no parent), has one
|
|
* element (no elems[1]), and has no kids (no kids[0]).
|
|
*/
|
|
if (!n->parent && !n->elems[1] && !n->kids[0]) {
|
|
LOG((" removed last element in tree\n"));
|
|
sfree(n);
|
|
t->root = NULL;
|
|
return retval;
|
|
}
|
|
|
|
/*
|
|
* Now we have the element we want, as n->elems[ei], and we
|
|
* have also arranged for that element not to be the only
|
|
* one in its node. So...
|
|
*/
|
|
|
|
if (!n->kids[0] && n->elems[1]) {
|
|
/*
|
|
* Case 1. n is a leaf node with more than one element,
|
|
* so it's _really easy_. Just delete the thing and
|
|
* we're done.
|
|
*/
|
|
int i;
|
|
LOG((" case 1\n"));
|
|
for (i = ei; i < 2 && n->elems[i + 1]; i++)
|
|
n->elems[i] = n->elems[i + 1];
|
|
n->elems[i] = NULL;
|
|
/*
|
|
* Having done that to the leaf node, we now go back up
|
|
* the tree fixing the counts.
|
|
*/
|
|
while (n->parent) {
|
|
int childnum;
|
|
childnum = (n->parent->kids[0] == n ? 0 :
|
|
n->parent->kids[1] == n ? 1 :
|
|
n->parent->kids[2] == n ? 2 : 3);
|
|
n->parent->counts[childnum]--;
|
|
n = n->parent;
|
|
}
|
|
return retval; /* finished! */
|
|
} else if (n->kids[ei]->elems[1]) {
|
|
/*
|
|
* Case 2a. n is an internal node, and the root of the
|
|
* subtree to the left of e has more than one element.
|
|
* So find the predecessor p to e (ie the largest node
|
|
* in that subtree), place it where e currently is, and
|
|
* then start the deletion process over again on the
|
|
* subtree with p as target.
|
|
*/
|
|
node234 *m = n->kids[ei];
|
|
void *target;
|
|
LOG((" case 2a\n"));
|
|
while (m->kids[0]) {
|
|
m = (m->kids[3] ? m->kids[3] :
|
|
m->kids[2] ? m->kids[2] :
|
|
m->kids[1] ? m->kids[1] : m->kids[0]);
|
|
}
|
|
target = (m->elems[2] ? m->elems[2] :
|
|
m->elems[1] ? m->elems[1] : m->elems[0]);
|
|
n->elems[ei] = target;
|
|
index = n->counts[ei] - 1;
|
|
n = n->kids[ei];
|
|
} else if (n->kids[ei + 1]->elems[1]) {
|
|
/*
|
|
* Case 2b, symmetric to 2a but s/left/right/ and
|
|
* s/predecessor/successor/. (And s/largest/smallest/).
|
|
*/
|
|
node234 *m = n->kids[ei + 1];
|
|
void *target;
|
|
LOG((" case 2b\n"));
|
|
while (m->kids[0]) {
|
|
m = m->kids[0];
|
|
}
|
|
target = m->elems[0];
|
|
n->elems[ei] = target;
|
|
n = n->kids[ei + 1];
|
|
index = 0;
|
|
} else {
|
|
/*
|
|
* Case 2c. n is an internal node, and the subtrees to
|
|
* the left and right of e both have only one element.
|
|
* So combine the two subnodes into a single big node
|
|
* with their own elements on the left and right and e
|
|
* in the middle, then restart the deletion process on
|
|
* that subtree, with e still as target.
|
|
*/
|
|
node234 *a = n->kids[ei], *b = n->kids[ei + 1];
|
|
int j;
|
|
|
|
LOG((" case 2c\n"));
|
|
a->elems[1] = n->elems[ei];
|
|
a->kids[2] = b->kids[0];
|
|
a->counts[2] = b->counts[0];
|
|
if (a->kids[2])
|
|
a->kids[2]->parent = a;
|
|
a->elems[2] = b->elems[0];
|
|
a->kids[3] = b->kids[1];
|
|
a->counts[3] = b->counts[1];
|
|
if (a->kids[3])
|
|
a->kids[3]->parent = a;
|
|
sfree(b);
|
|
n->counts[ei] = countnode234(a);
|
|
/*
|
|
* That's built the big node in a, and destroyed b. Now
|
|
* remove the reference to b (and e) in n.
|
|
*/
|
|
for (j = ei; j < 2 && n->elems[j + 1]; j++) {
|
|
n->elems[j] = n->elems[j + 1];
|
|
n->kids[j + 1] = n->kids[j + 2];
|
|
n->counts[j + 1] = n->counts[j + 2];
|
|
}
|
|
n->elems[j] = NULL;
|
|
n->kids[j + 1] = NULL;
|
|
n->counts[j + 1] = 0;
|
|
/*
|
|
* It's possible, in this case, that we've just removed
|
|
* the only element in the root of the tree. If so,
|
|
* shift the root.
|
|
*/
|
|
if (n->elems[0] == NULL) {
|
|
LOG((" shifting root!\n"));
|
|
t->root = a;
|
|
a->parent = NULL;
|
|
sfree(n);
|
|
}
|
|
/*
|
|
* Now go round the deletion process again, with n
|
|
* pointing at the new big node and e still the same.
|
|
*/
|
|
n = a;
|
|
index = a->counts[0] + a->counts[1] + 1;
|
|
}
|
|
}
|
|
}
|
|
void *delpos234(tree234 * t, int index)
|
|
{
|
|
if (index < 0 || index >= countnode234(t->root))
|
|
return NULL;
|
|
return delpos234_internal(t, index);
|
|
}
|
|
void *del234(tree234 * t, void *e)
|
|
{
|
|
int index;
|
|
if (!findrelpos234(t, e, NULL, REL234_EQ, &index))
|
|
return NULL; /* it wasn't in there anyway */
|
|
return delpos234_internal(t, index); /* it's there; delete it. */
|
|
}
|
|
|
|
#ifdef TEST
|
|
|
|
/*
|
|
* Test code for the 2-3-4 tree. This code maintains an alternative
|
|
* representation of the data in the tree, in an array (using the
|
|
* obvious and slow insert and delete functions). After each tree
|
|
* operation, the verify() function is called, which ensures all
|
|
* the tree properties are preserved:
|
|
* - node->child->parent always equals node
|
|
* - tree->root->parent always equals NULL
|
|
* - number of kids == 0 or number of elements + 1;
|
|
* - tree has the same depth everywhere
|
|
* - every node has at least one element
|
|
* - subtree element counts are accurate
|
|
* - any NULL kid pointer is accompanied by a zero count
|
|
* - in a sorted tree: ordering property between elements of a
|
|
* node and elements of its children is preserved
|
|
* and also ensures the list represented by the tree is the same
|
|
* list it should be. (This last check also doubly verifies the
|
|
* ordering properties, because the `same list it should be' is by
|
|
* definition correctly ordered. It also ensures all nodes are
|
|
* distinct, because the enum functions would get caught in a loop
|
|
* if not.)
|
|
*/
|
|
|
|
#include <stdarg.h>
|
|
#include <string.h>
|
|
|
|
int n_errors = 0;
|
|
|
|
/*
|
|
* Error reporting function.
|
|
*/
|
|
PRINTF_LIKE(1, 2) void error(char *fmt, ...)
|
|
{
|
|
va_list ap;
|
|
printf("ERROR: ");
|
|
va_start(ap, fmt);
|
|
vfprintf(stdout, fmt, ap);
|
|
va_end(ap);
|
|
printf("\n");
|
|
n_errors++;
|
|
}
|
|
|
|
/* The array representation of the data. */
|
|
void **array;
|
|
int arraylen, arraysize;
|
|
cmpfn234 cmp;
|
|
|
|
/* The tree representation of the same data. */
|
|
tree234 *tree;
|
|
|
|
typedef struct {
|
|
int treedepth;
|
|
int elemcount;
|
|
} chkctx;
|
|
|
|
int chknode(chkctx * ctx, int level, node234 * node,
|
|
void *lowbound, void *highbound)
|
|
{
|
|
int nkids, nelems;
|
|
int i;
|
|
int count;
|
|
|
|
/* Count the non-NULL kids. */
|
|
for (nkids = 0; nkids < 4 && node->kids[nkids]; nkids++);
|
|
/* Ensure no kids beyond the first NULL are non-NULL. */
|
|
for (i = nkids; i < 4; i++)
|
|
if (node->kids[i]) {
|
|
error("node %p: nkids=%d but kids[%d] non-NULL",
|
|
node, nkids, i);
|
|
} else if (node->counts[i]) {
|
|
error("node %p: kids[%d] NULL but count[%d]=%d nonzero",
|
|
node, i, i, node->counts[i]);
|
|
}
|
|
|
|
/* Count the non-NULL elements. */
|
|
for (nelems = 0; nelems < 3 && node->elems[nelems]; nelems++);
|
|
/* Ensure no elements beyond the first NULL are non-NULL. */
|
|
for (i = nelems; i < 3; i++)
|
|
if (node->elems[i]) {
|
|
error("node %p: nelems=%d but elems[%d] non-NULL",
|
|
node, nelems, i);
|
|
}
|
|
|
|
if (nkids == 0) {
|
|
/*
|
|
* If nkids==0, this is a leaf node; verify that the tree
|
|
* depth is the same everywhere.
|
|
*/
|
|
if (ctx->treedepth < 0)
|
|
ctx->treedepth = level; /* we didn't know the depth yet */
|
|
else if (ctx->treedepth != level)
|
|
error("node %p: leaf at depth %d, previously seen depth %d",
|
|
node, level, ctx->treedepth);
|
|
} else {
|
|
/*
|
|
* If nkids != 0, then it should be nelems+1, unless nelems
|
|
* is 0 in which case nkids should also be 0 (and so we
|
|
* shouldn't be in this condition at all).
|
|
*/
|
|
int shouldkids = (nelems ? nelems + 1 : 0);
|
|
if (nkids != shouldkids) {
|
|
error("node %p: %d elems should mean %d kids but has %d",
|
|
node, nelems, shouldkids, nkids);
|
|
}
|
|
}
|
|
|
|
/*
|
|
* nelems should be at least 1.
|
|
*/
|
|
if (nelems == 0) {
|
|
error("node %p: no elems", node, nkids);
|
|
}
|
|
|
|
/*
|
|
* Add nelems to the running element count of the whole tree.
|
|
*/
|
|
ctx->elemcount += nelems;
|
|
|
|
/*
|
|
* Check ordering property: all elements should be strictly >
|
|
* lowbound, strictly < highbound, and strictly < each other in
|
|
* sequence. (lowbound and highbound are NULL at edges of tree
|
|
* - both NULL at root node - and NULL is considered to be <
|
|
* everything and > everything. IYSWIM.)
|
|
*/
|
|
if (cmp) {
|
|
for (i = -1; i < nelems; i++) {
|
|
void *lower = (i == -1 ? lowbound : node->elems[i]);
|
|
void *higher =
|
|
(i + 1 == nelems ? highbound : node->elems[i + 1]);
|
|
if (lower && higher && cmp(lower, higher) >= 0) {
|
|
error("node %p: kid comparison [%d=%s,%d=%s] failed",
|
|
node, i, lower, i + 1, higher);
|
|
}
|
|
}
|
|
}
|
|
|
|
/*
|
|
* Check parent pointers: all non-NULL kids should have a
|
|
* parent pointer coming back to this node.
|
|
*/
|
|
for (i = 0; i < nkids; i++)
|
|
if (node->kids[i]->parent != node) {
|
|
error("node %p kid %d: parent ptr is %p not %p",
|
|
node, i, node->kids[i]->parent, node);
|
|
}
|
|
|
|
|
|
/*
|
|
* Now (finally!) recurse into subtrees.
|
|
*/
|
|
count = nelems;
|
|
|
|
for (i = 0; i < nkids; i++) {
|
|
void *lower = (i == 0 ? lowbound : node->elems[i - 1]);
|
|
void *higher = (i >= nelems ? highbound : node->elems[i]);
|
|
int subcount =
|
|
chknode(ctx, level + 1, node->kids[i], lower, higher);
|
|
if (node->counts[i] != subcount) {
|
|
error("node %p kid %d: count says %d, subtree really has %d",
|
|
node, i, node->counts[i], subcount);
|
|
}
|
|
count += subcount;
|
|
}
|
|
|
|
return count;
|
|
}
|
|
|
|
void verify(void)
|
|
{
|
|
chkctx ctx;
|
|
int i;
|
|
void *p;
|
|
|
|
ctx.treedepth = -1; /* depth unknown yet */
|
|
ctx.elemcount = 0; /* no elements seen yet */
|
|
/*
|
|
* Verify validity of tree properties.
|
|
*/
|
|
if (tree->root) {
|
|
if (tree->root->parent != NULL)
|
|
error("root->parent is %p should be null", tree->root->parent);
|
|
chknode(&ctx, 0, tree->root, NULL, NULL);
|
|
}
|
|
printf("tree depth: %d\n", ctx.treedepth);
|
|
/*
|
|
* Enumerate the tree and ensure it matches up to the array.
|
|
*/
|
|
for (i = 0; NULL != (p = index234(tree, i)); i++) {
|
|
if (i >= arraylen)
|
|
error("tree contains more than %d elements", arraylen);
|
|
if (array[i] != p)
|
|
error("enum at position %d: array says %s, tree says %s",
|
|
i, array[i], p);
|
|
}
|
|
if (ctx.elemcount != i) {
|
|
error("tree really contains %d elements, enum gave %d",
|
|
ctx.elemcount, i);
|
|
}
|
|
if (i < arraylen) {
|
|
error("enum gave only %d elements, array has %d", i, arraylen);
|
|
}
|
|
i = count234(tree);
|
|
if (ctx.elemcount != i) {
|
|
error("tree really contains %d elements, count234 gave %d",
|
|
ctx.elemcount, i);
|
|
}
|
|
}
|
|
|
|
void internal_addtest(void *elem, int index, void *realret)
|
|
{
|
|
int i, j;
|
|
void *retval;
|
|
|
|
if (arraysize < arraylen + 1) {
|
|
arraysize = arraylen + 1 + 256;
|
|
array = sresize(array, arraysize, void *);
|
|
}
|
|
|
|
i = index;
|
|
/* now i points to the first element >= elem */
|
|
retval = elem; /* expect elem returned (success) */
|
|
for (j = arraylen; j > i; j--)
|
|
array[j] = array[j - 1];
|
|
array[i] = elem; /* add elem to array */
|
|
arraylen++;
|
|
|
|
if (realret != retval) {
|
|
error("add: retval was %p expected %p", realret, retval);
|
|
}
|
|
|
|
verify();
|
|
}
|
|
|
|
void addtest(void *elem)
|
|
{
|
|
int i;
|
|
void *realret;
|
|
|
|
realret = add234(tree, elem);
|
|
|
|
i = 0;
|
|
while (i < arraylen && cmp(elem, array[i]) > 0)
|
|
i++;
|
|
if (i < arraylen && !cmp(elem, array[i])) {
|
|
void *retval = array[i]; /* expect that returned not elem */
|
|
if (realret != retval) {
|
|
error("add: retval was %p expected %p", realret, retval);
|
|
}
|
|
} else
|
|
internal_addtest(elem, i, realret);
|
|
}
|
|
|
|
void addpostest(void *elem, int i)
|
|
{
|
|
void *realret;
|
|
|
|
realret = addpos234(tree, elem, i);
|
|
|
|
internal_addtest(elem, i, realret);
|
|
}
|
|
|
|
void delpostest(int i)
|
|
{
|
|
int index = i;
|
|
void *elem = array[i], *ret;
|
|
|
|
/* i points to the right element */
|
|
while (i < arraylen - 1) {
|
|
array[i] = array[i + 1];
|
|
i++;
|
|
}
|
|
arraylen--; /* delete elem from array */
|
|
|
|
if (tree->cmp)
|
|
ret = del234(tree, elem);
|
|
else
|
|
ret = delpos234(tree, index);
|
|
|
|
if (ret != elem) {
|
|
error("del returned %p, expected %p", ret, elem);
|
|
}
|
|
|
|
verify();
|
|
}
|
|
|
|
void deltest(void *elem)
|
|
{
|
|
int i;
|
|
|
|
i = 0;
|
|
while (i < arraylen && cmp(elem, array[i]) > 0)
|
|
i++;
|
|
if (i >= arraylen || cmp(elem, array[i]) != 0)
|
|
return; /* don't do it! */
|
|
delpostest(i);
|
|
}
|
|
|
|
/* A sample data set and test utility. Designed for pseudo-randomness,
|
|
* and yet repeatability. */
|
|
|
|
/*
|
|
* This random number generator uses the `portable implementation'
|
|
* given in ANSI C99 draft N869. It assumes `unsigned' is 32 bits;
|
|
* change it if not.
|
|
*/
|
|
int randomnumber(unsigned *seed)
|
|
{
|
|
*seed *= 1103515245;
|
|
*seed += 12345;
|
|
return ((*seed) / 65536) % 32768;
|
|
}
|
|
|
|
int mycmp(void *av, void *bv)
|
|
{
|
|
char const *a = (char const *) av;
|
|
char const *b = (char const *) bv;
|
|
return strcmp(a, b);
|
|
}
|
|
|
|
#define lenof(x) ( sizeof((x)) / sizeof(*(x)) )
|
|
|
|
char *strings[] = {
|
|
"a", "ab", "absque", "coram", "de",
|
|
"palam", "clam", "cum", "ex", "e",
|
|
"sine", "tenus", "pro", "prae",
|
|
"banana", "carrot", "cabbage", "broccoli", "onion", "zebra",
|
|
"penguin", "blancmange", "pangolin", "whale", "hedgehog",
|
|
"giraffe", "peanut", "bungee", "foo", "bar", "baz", "quux",
|
|
"murfl", "spoo", "breen", "flarn", "octothorpe",
|
|
"snail", "tiger", "elephant", "octopus", "warthog", "armadillo",
|
|
"aardvark", "wyvern", "dragon", "elf", "dwarf", "orc", "goblin",
|
|
"pixie", "basilisk", "warg", "ape", "lizard", "newt", "shopkeeper",
|
|
"wand", "ring", "amulet"
|
|
};
|
|
|
|
#define NSTR lenof(strings)
|
|
|
|
int findtest(void)
|
|
{
|
|
const static int rels[] = {
|
|
REL234_EQ, REL234_GE, REL234_LE, REL234_LT, REL234_GT
|
|
};
|
|
const static char *const relnames[] = {
|
|
"EQ", "GE", "LE", "LT", "GT"
|
|
};
|
|
int i, j, rel, index;
|
|
char *p, *ret, *realret, *realret2;
|
|
int lo, hi, mid, c;
|
|
|
|
for (i = 0; i < NSTR; i++) {
|
|
p = strings[i];
|
|
for (j = 0; j < sizeof(rels) / sizeof(*rels); j++) {
|
|
rel = rels[j];
|
|
|
|
lo = 0;
|
|
hi = arraylen - 1;
|
|
while (lo <= hi) {
|
|
mid = (lo + hi) / 2;
|
|
c = strcmp(p, array[mid]);
|
|
if (c < 0)
|
|
hi = mid - 1;
|
|
else if (c > 0)
|
|
lo = mid + 1;
|
|
else
|
|
break;
|
|
}
|
|
|
|
if (c == 0) {
|
|
if (rel == REL234_LT)
|
|
ret = (mid > 0 ? array[--mid] : NULL);
|
|
else if (rel == REL234_GT)
|
|
ret = (mid < arraylen - 1 ? array[++mid] : NULL);
|
|
else
|
|
ret = array[mid];
|
|
} else {
|
|
assert(lo == hi + 1);
|
|
if (rel == REL234_LT || rel == REL234_LE) {
|
|
mid = hi;
|
|
ret = (hi >= 0 ? array[hi] : NULL);
|
|
} else if (rel == REL234_GT || rel == REL234_GE) {
|
|
mid = lo;
|
|
ret = (lo < arraylen ? array[lo] : NULL);
|
|
} else
|
|
ret = NULL;
|
|
}
|
|
|
|
realret = findrelpos234(tree, p, NULL, rel, &index);
|
|
if (realret != ret) {
|
|
error("find(\"%s\",%s) gave %s should be %s",
|
|
p, relnames[j], realret, ret);
|
|
}
|
|
if (realret && index != mid) {
|
|
error("find(\"%s\",%s) gave %d should be %d",
|
|
p, relnames[j], index, mid);
|
|
}
|
|
if (realret && rel == REL234_EQ) {
|
|
realret2 = index234(tree, index);
|
|
if (realret2 != realret) {
|
|
error("find(\"%s\",%s) gave %s(%d) but %d -> %s",
|
|
p, relnames[j], realret, index, index, realret2);
|
|
}
|
|
}
|
|
#if 0
|
|
printf("find(\"%s\",%s) gave %s(%d)\n", p, relnames[j],
|
|
realret, index);
|
|
#endif
|
|
}
|
|
}
|
|
|
|
realret = findrelpos234(tree, NULL, NULL, REL234_GT, &index);
|
|
if (arraylen && (realret != array[0] || index != 0)) {
|
|
error("find(NULL,GT) gave %s(%d) should be %s(0)",
|
|
realret, index, array[0]);
|
|
} else if (!arraylen && (realret != NULL)) {
|
|
error("find(NULL,GT) gave %s(%d) should be NULL", realret, index);
|
|
}
|
|
|
|
realret = findrelpos234(tree, NULL, NULL, REL234_LT, &index);
|
|
if (arraylen
|
|
&& (realret != array[arraylen - 1] || index != arraylen - 1)) {
|
|
error("find(NULL,LT) gave %s(%d) should be %s(0)", realret, index,
|
|
array[arraylen - 1]);
|
|
} else if (!arraylen && (realret != NULL)) {
|
|
error("find(NULL,LT) gave %s(%d) should be NULL", realret, index);
|
|
}
|
|
}
|
|
|
|
void searchtest_recurse(search234_state ss, int lo, int hi,
|
|
char **expected, char *directionbuf,
|
|
char *directionptr)
|
|
{
|
|
*directionptr = '\0';
|
|
|
|
if (!ss.element) {
|
|
if (lo != hi) {
|
|
error("search234(%s) gave NULL for non-empty interval [%d,%d)",
|
|
directionbuf, lo, hi);
|
|
} else if (ss.index != lo) {
|
|
error("search234(%s) gave index %d should be %d",
|
|
directionbuf, ss.index, lo);
|
|
} else {
|
|
printf("%*ssearch234(%s) gave NULL,%d\n",
|
|
(int)(directionptr-directionbuf) * 2, "", directionbuf,
|
|
ss.index);
|
|
}
|
|
} else if (lo == hi) {
|
|
error("search234(%s) gave %s for empty interval [%d,%d)",
|
|
directionbuf, (char *)ss.element, lo, hi);
|
|
} else if (ss.element != expected[ss.index]) {
|
|
error("search234(%s) gave element %s should be %s",
|
|
directionbuf, (char *)ss.element, expected[ss.index]);
|
|
} else if (ss.index < lo || ss.index >= hi) {
|
|
error("search234(%s) gave index %d should be in [%d,%d)",
|
|
directionbuf, ss.index, lo, hi);
|
|
return;
|
|
} else {
|
|
search234_state next;
|
|
|
|
printf("%*ssearch234(%s) gave %s,%d\n",
|
|
(int)(directionptr-directionbuf) * 2, "", directionbuf,
|
|
(char *)ss.element, ss.index);
|
|
|
|
next = ss;
|
|
search234_step(&next, -1);
|
|
*directionptr = '-';
|
|
searchtest_recurse(next, lo, ss.index,
|
|
expected, directionbuf, directionptr+1);
|
|
|
|
next = ss;
|
|
search234_step(&next, +1);
|
|
*directionptr = '+';
|
|
searchtest_recurse(next, ss.index+1, hi,
|
|
expected, directionbuf, directionptr+1);
|
|
}
|
|
}
|
|
|
|
void searchtest(void)
|
|
{
|
|
char *expected[NSTR], *p;
|
|
char directionbuf[NSTR * 10];
|
|
int n;
|
|
search234_state ss;
|
|
|
|
printf("beginning searchtest:");
|
|
for (n = 0; (p = index234(tree, n)) != NULL; n++) {
|
|
expected[n] = p;
|
|
printf(" %d=%s", n, p);
|
|
}
|
|
printf(" count=%d\n", n);
|
|
|
|
search234_start(&ss, tree);
|
|
searchtest_recurse(ss, 0, n, expected, directionbuf, directionbuf);
|
|
}
|
|
|
|
int main(void)
|
|
{
|
|
int in[NSTR];
|
|
int i, j, k;
|
|
unsigned seed = 0;
|
|
|
|
for (i = 0; i < NSTR; i++)
|
|
in[i] = 0;
|
|
array = NULL;
|
|
arraylen = arraysize = 0;
|
|
tree = newtree234(mycmp);
|
|
cmp = mycmp;
|
|
|
|
verify();
|
|
searchtest();
|
|
for (i = 0; i < 10000; i++) {
|
|
j = randomnumber(&seed);
|
|
j %= NSTR;
|
|
printf("trial: %d\n", i);
|
|
if (in[j]) {
|
|
printf("deleting %s (%d)\n", strings[j], j);
|
|
deltest(strings[j]);
|
|
in[j] = 0;
|
|
} else {
|
|
printf("adding %s (%d)\n", strings[j], j);
|
|
addtest(strings[j]);
|
|
in[j] = 1;
|
|
}
|
|
findtest();
|
|
searchtest();
|
|
}
|
|
|
|
while (arraylen > 0) {
|
|
j = randomnumber(&seed);
|
|
j %= arraylen;
|
|
deltest(array[j]);
|
|
}
|
|
|
|
freetree234(tree);
|
|
|
|
/*
|
|
* Now try an unsorted tree. We don't really need to test
|
|
* delpos234 because we know del234 is based on it, so it's
|
|
* already been tested in the above sorted-tree code; but for
|
|
* completeness we'll use it to tear down our unsorted tree
|
|
* once we've built it.
|
|
*/
|
|
tree = newtree234(NULL);
|
|
cmp = NULL;
|
|
verify();
|
|
for (i = 0; i < 1000; i++) {
|
|
printf("trial: %d\n", i);
|
|
j = randomnumber(&seed);
|
|
j %= NSTR;
|
|
k = randomnumber(&seed);
|
|
k %= count234(tree) + 1;
|
|
printf("adding string %s at index %d\n", strings[j], k);
|
|
addpostest(strings[j], k);
|
|
}
|
|
while (count234(tree) > 0) {
|
|
printf("cleanup: tree size %d\n", count234(tree));
|
|
j = randomnumber(&seed);
|
|
j %= count234(tree);
|
|
printf("deleting string %s from index %d\n",
|
|
(const char *)array[j], j);
|
|
delpostest(j);
|
|
}
|
|
|
|
printf("%d errors found\n", n_errors);
|
|
return (n_errors != 0);
|
|
}
|
|
|
|
#endif
|