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https://github.com/Zenithsiz/ftmemsim-valgrind.git
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744 lines
22 KiB
C
744 lines
22 KiB
C
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/*--------------------------------------------------------------------*/
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/*--- An ordered set implemented using an AVL tree. m_oset.c ---*/
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/*--------------------------------------------------------------------*/
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/*
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This file is part of Valgrind, a dynamic binary instrumentation
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framework.
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Copyright (C) 2005 Nicholas Nethercote
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njn@valgrind.org
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This program is free software; you can redistribute it and/or
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modify it under the terms of the GNU General Public License as
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published by the Free Software Foundation; either version 2 of the
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License, or (at your option) any later version.
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This program is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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02111-1307, USA.
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The GNU General Public License is contained in the file COPYING.
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*/
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//----------------------------------------------------------------------
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// This file is based on:
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//
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// ANSI C Library for maintainance of AVL Balanced Trees
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// (C) 2000 Daniel Nagy, Budapest University of Technology and Economics
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// Released under GNU General Public License (GPL) version 2
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//----------------------------------------------------------------------
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// This file implements a generic ordered set using an AVL tree.
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//
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// Each node in the tree has two parts.
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// - First is the AVL metadata, which is three words: a left pointer, a
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// right pointer, and a word containing balancing information and a
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// "magic" value which provides some checking that the user has not
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// corrupted the metadata.
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// - Second is the user's data. This can be anything. Note that because it
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// comes after the metadata, it will only be word-aligned, even if the
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// user data is a struct that would normally be doubleword-aligned.
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//
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// AvlNode* node -> +---------------+ V
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// | struct |
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// | AvlNode |
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// void* element -> +---------------+ ^
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// | element | |
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// keyOff -> | key | elemSize
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// +---------------+ v
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//
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// Users have to allocate AvlNodes with OSet_AllocNode(), which allocates
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// space for the metadata.
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//
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// The terminology used throughout this file:
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// - a "node", usually called "n", is a pointer to the metadata.
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// - an "element", usually called "e", is a pointer to the user data.
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// - a "key", usually called "k", is a pointer to a key.
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//
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// The helper functions elem_of_node and node_of_elem do the pointer
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// arithmetic to switch between the node and the element. The node magic is
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// checked after each operation to make sure that we're really operating on
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// an AvlNode.
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//
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// Each tree also has an iterator. Note that we cannot use the iterator
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// internally within this file (eg. we could implement OSet_Size() by
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// stepping through with the iterator and counting nodes) because it's
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// non-reentrant -- the user might be using it themselves, and the
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// concurrent uses would screw things up.
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#include "pub_core_basics.h"
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#include "pub_core_libcbase.h"
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#include "pub_core_libcassert.h"
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#include "pub_core_libcprint.h"
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#include "pub_core_oset.h"
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/*--------------------------------------------------------------------*/
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/*--- Types and constants ---*/
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/*--------------------------------------------------------------------*/
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// Internal names for the OSet types.
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typedef OSet AvlTree;
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typedef OSetNode AvlNode;
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// The padding ensures that magic is right at the end of the node,
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// regardless of the machine's word size, so that any overwrites will be
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// detected earlier.
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struct _OSetNode {
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AvlNode* left;
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AvlNode* right;
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Char balance;
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Char padding[sizeof(void*)-3];
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Short magic;
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};
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#define STACK_MAX 32 // At most 2**32 entries can be iterated over
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#define OSET_MAGIC 0x5b1f
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// An OSet (AVL tree). If cmp is NULL, the key must be a UWord, and must
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// be the first word in the element. If cmp is set, arbitrary keys in
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// arbitrary positions can be used.
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struct _OSet {
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SizeT keyOff; // key offset
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OSetCmp_t cmp; // compare a key and an element, or NULL
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OSetAlloc_t alloc; // allocator
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OSetFree_t free; // deallocator
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Int nElems; // number of elements in the tree
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AvlNode* root; // root node
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AvlNode* nodeStack[STACK_MAX]; // Iterator node stack
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Int numStack[STACK_MAX]; // Iterator num stack
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Int stackTop; // Iterator stack pointer, one past end
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};
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/*--------------------------------------------------------------------*/
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/*--- Helper operations ---*/
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/*--------------------------------------------------------------------*/
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// Given a pointer to the node's element, return the pointer to the AvlNode
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// structure. If the node has a bad magic number, it will die with an
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// assertion failure.
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static inline
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AvlNode* node_of_elem(const void *elem)
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{
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AvlNode* n = (AvlNode*)((Addr)elem - sizeof(AvlNode));
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vg_assert2(n->magic == OSET_MAGIC,
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"bad magic on node %p = %x (expected %x)\n"
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"possible causes:\n"
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" - node not allocated with VG_(OSet_AllocNode)()?\n"
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" - node metadata corrupted by underwriting start of element?\n",
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n, n->magic, OSET_MAGIC);
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return n;
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}
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// Given an AvlNode, return the pointer to the element.
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static inline
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void* elem_of_node(const AvlNode *n)
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{
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vg_assert2(n->magic == OSET_MAGIC,
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"bad magic on node %p = %x (expected %x)\n"
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"possible causes:\n"
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" - node metadata corrupted by overwriting end of element?\n",
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n, n->magic, OSET_MAGIC);
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return (void*)((Addr)n + sizeof(AvlNode));
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}
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// Like elem_of_node, but no magic checking.
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static inline
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void* elem_of_node_no_check(const AvlNode *n)
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{
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return (void*)((Addr)n + sizeof(AvlNode));
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}
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static inline
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void* slow_key_of_node(AvlTree* t, AvlNode* n)
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{
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return (void*)((Addr)elem_of_node(n) + t->keyOff);
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}
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static inline
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void* fast_key_of_node(AvlNode* n)
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{
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return elem_of_node(n);
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}
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// Compare the first word of each element. Inlining is *crucial*.
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static inline Int fast_cmp(void* k, AvlNode* n)
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{
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return ( *(Int*)k - *(Int*)elem_of_node(n) );
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}
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// Compare a key and an element. Inlining is *crucial*.
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static inline Int slow_cmp(AvlTree* t, void* k, AvlNode* n)
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{
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return t->cmp(k, elem_of_node(n));
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}
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// Swing to the left. Warning: no balance maintainance.
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static void avl_swl ( AvlNode** root )
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{
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AvlNode* a = *root;
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AvlNode* b = a->right;
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*root = b;
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a->right = b->left;
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b->left = a;
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}
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// Swing to the right. Warning: no balance maintainance.
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static void avl_swr ( AvlNode** root )
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{
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AvlNode* a = *root;
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AvlNode* b = a->left;
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*root = b;
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a->left = b->right;
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b->right = a;
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}
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// Balance maintainance after especially nasty swings.
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static void avl_nasty ( AvlNode* root )
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{
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switch (root->balance) {
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case -1:
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root->left->balance = 0;
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root->right->balance = 1;
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break;
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case 1:
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root->left->balance =-1;
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root->right->balance = 0;
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break;
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case 0:
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root->left->balance = 0;
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root->right->balance = 0;
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}
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root->balance = 0;
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}
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// Clear the iterator stack.
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static void stackClear(AvlTree* t)
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{
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Int i;
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vg_assert(t);
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for (i = 0; i < STACK_MAX; i++) {
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t->nodeStack[i] = NULL;
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t->numStack[i] = 0;
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}
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t->stackTop = 0;
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}
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// Push onto the iterator stack.
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static void stackPush(AvlTree* t, AvlNode* n, Int i)
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{
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vg_assert(t->stackTop < STACK_MAX);
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vg_assert(1 <= i && i <= 3);
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t->nodeStack[t->stackTop] = n;
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t-> numStack[t->stackTop] = i;
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t->stackTop++;
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}
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// Pop from the iterator stack.
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static Bool stackPop(AvlTree* t, AvlNode** n, Int* i)
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{
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vg_assert(t->stackTop <= STACK_MAX);
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if (t->stackTop > 0) {
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t->stackTop--;
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*n = t->nodeStack[t->stackTop];
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*i = t-> numStack[t->stackTop];
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vg_assert(1 <= *i && *i <= 3);
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t->nodeStack[t->stackTop] = NULL;
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t-> numStack[t->stackTop] = 0;
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return True;
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} else {
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return False;
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}
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}
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/*--------------------------------------------------------------------*/
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/*--- Creating and destroying AvlTrees and AvlNodes ---*/
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/*--------------------------------------------------------------------*/
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// The underscores avoid GCC complaints about overshadowing global names.
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AvlTree* VG_(OSet_Create)(OffT _keyOff, OSetCmp_t _cmp,
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OSetAlloc_t _alloc, OSetFree_t _free)
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{
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AvlTree* t;
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// Check the padding is right and the AvlNode is the expected size.
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vg_assert(sizeof(AvlNode) == 3*sizeof(void*));
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// Sanity check args
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vg_assert(_alloc);
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vg_assert(_free);
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if (!_cmp) vg_assert(0 == _keyOff); // If no cmp, offset must be zero
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t = _alloc(sizeof(AvlTree));
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t->keyOff = _keyOff;
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t->cmp = _cmp;
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t->alloc = _alloc;
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t->free = _free;
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t->nElems = 0;
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t->root = NULL;
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stackClear(t);
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return t;
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}
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// Destructor, frees up all memory held by remaining nodes.
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void VG_(OSet_Destroy)(AvlTree* t)
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{
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AvlNode* n;
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Int i, sz = 0;
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vg_assert(t);
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stackClear(t);
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if (t->root)
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stackPush(t, t->root, 1);
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// Free all the AvlNodes. This is a post-order traversal, because we
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// must free all children of a node before the node itself.
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while (stackPop(t, &n, &i)) {
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switch (i) {
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case 1:
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stackPush(t, n, 2);
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if (n->left) stackPush(t, n->left, 1);
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break;
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case 2:
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stackPush(t, n, 3);
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if (n->right) stackPush(t, n->right, 1);
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break;
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case 3:
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t->free(n);
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sz++;
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break;
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}
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}
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vg_assert(sz == t->nElems);
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// Free the AvlTree itself.
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t->free(t);
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}
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// Allocate and initialise a new node.
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void* VG_(OSet_AllocNode)(AvlTree* t, SizeT elemSize)
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{
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Int nodeSize = sizeof(AvlNode) + elemSize;
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AvlNode* n = t->alloc( nodeSize );
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vg_assert(elemSize > 0);
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VG_(memset)(n, 0, nodeSize);
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n->magic = OSET_MAGIC;
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return elem_of_node(n);
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}
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void VG_(OSet_FreeNode)(AvlTree* t, void* e)
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{
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t->free( node_of_elem(e) );
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}
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/*--------------------------------------------------------------------*/
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/*--- Insertion ---*/
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/*--------------------------------------------------------------------*/
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static inline Int cmp_key_root(AvlTree* t, AvlNode* n)
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{
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return t->cmp
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? slow_cmp(t, slow_key_of_node(t, n), t->root)
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: fast_cmp( fast_key_of_node( n), t->root);
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}
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// Insert element e into the non-empty AVL tree t.
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// Returns True if the depth of the tree has grown.
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static Bool avl_insert(AvlTree* t, AvlNode* n)
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{
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Int cmpres = cmp_key_root(t, n);
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if (cmpres < 0) {
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// Insert into the left subtree.
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if (t->root->left) {
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// Only need to set the used fields in the subtree.
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AvlTree left_subtree;
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left_subtree.root = t->root->left;
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left_subtree.cmp = t->cmp;
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left_subtree.keyOff = t->keyOff;
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if (avl_insert(&left_subtree, n)) {
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switch (t->root->balance--) {
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case 1: return False;
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case 0: return True;
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}
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if (t->root->left->balance < 0) {
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avl_swr(&(t->root));
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t->root->balance = 0;
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t->root->right->balance = 0;
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} else {
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avl_swl(&(t->root->left));
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avl_swr(&(t->root));
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avl_nasty(t->root);
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}
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} else {
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t->root->left=left_subtree.root;
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}
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return False;
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} else {
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t->root->left = n;
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if (t->root->balance--) return False;
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return True;
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}
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} else if (cmpres > 0) {
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// Insert into the right subtree
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if (t->root->right) {
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// Only need to set the used fields in the subtree.
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AvlTree right_subtree;
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right_subtree.root = t->root->right;
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right_subtree.cmp = t->cmp;
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right_subtree.keyOff = t->keyOff;
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if (avl_insert(&right_subtree, n)) {
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switch (t->root->balance++) {
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case -1: return False;
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case 0: return True;
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}
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if (t->root->right->balance > 0) {
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avl_swl(&(t->root));
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t->root->balance = 0;
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t->root->left->balance = 0;
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} else {
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avl_swr(&(t->root->right));
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avl_swl(&(t->root));
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avl_nasty(t->root);
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}
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} else {
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t->root->right=right_subtree.root;
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}
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return False;
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} else {
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t->root->right = n;
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if (t->root->balance++) return False;
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return True;
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}
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} else {
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vg_assert2(0, "OSet_Insert: duplicate element added");
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}
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}
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// Insert element e into the AVL tree t. This is just a wrapper for
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// avl_insert() which doesn't return a Bool.
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void VG_(OSet_Insert)(AvlTree* t, void* e)
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{
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AvlNode* n;
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vg_assert(t);
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// Initialise. Even though OSet_AllocNode zeroes these fields, we should
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// do it again in case a node is removed and then re-added to the tree.
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n = node_of_elem(e);
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n->left = 0;
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n->right = 0;
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n->balance = 0;
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// Insert into an empty tree
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if (!t->root) {
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t->root = n;
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} else {
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avl_insert(t, n);
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}
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t->nElems++;
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t->stackTop = 0; // So the iterator can't get out of sync
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}
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/*--------------------------------------------------------------------*/
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/*--- Lookup ---*/
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/*--------------------------------------------------------------------*/
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// Find the *node* in t matching k, or NULL if not found.
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static AvlNode* avl_lookup(AvlTree* t, void* k)
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{
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Int cmpres;
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AvlNode* curr = t->root;
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if (t->cmp) {
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// General case
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while (True) {
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if (curr == NULL) return NULL;
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cmpres = slow_cmp(t, k, curr);
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if (cmpres < 0) curr = curr->left; else
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if (cmpres > 0) curr = curr->right; else
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return curr;
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}
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} else {
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// Fast-track special case. We use the no-check version of
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// elem_of_node because it saves about 10% on lookup time. This
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// shouldn't be very dangerous because each node will have been
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// checked on insertion.
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Int kk = *(Int*)k;
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while (True) {
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if (curr == NULL) return NULL;
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cmpres = kk - *(Int*)elem_of_node_no_check(curr);
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if (cmpres < 0) curr = curr->left; else
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if (cmpres > 0) curr = curr->right; else
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return curr;
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}
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}
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}
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// Find the *element* in t matching k, or NULL if not found.
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void* VG_(OSet_Lookup)(AvlTree* t, void* k)
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{
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AvlNode* n;
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vg_assert(t);
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n = avl_lookup(t, k);
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return ( n ? elem_of_node(n) : NULL );
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}
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// Find the *element* in t matching k, or NULL if not found; use the given
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// comparison function rather than the standard one.
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void* VG_(OSet_LookupWithCmp)(AvlTree* t, void* k, OSetCmp_t cmp)
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{
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// Save the normal one to the side, then restore once we're done.
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void* e;
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OSetCmp_t tmpcmp;
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vg_assert(t);
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tmpcmp = t->cmp;
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t->cmp = cmp;
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e = VG_(OSet_Lookup)(t, k);
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t->cmp = tmpcmp;
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return e;
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}
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// Is there an element matching k?
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Bool VG_(OSet_Contains)(AvlTree* t, void* k)
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{
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return (NULL != VG_(OSet_Lookup)(t, k));
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}
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|
|
/*--------------------------------------------------------------------*/
|
|
/*--- Deletion ---*/
|
|
/*--------------------------------------------------------------------*/
|
|
|
|
static Bool avl_removeroot(AvlTree* t);
|
|
|
|
// Remove an already-selected node n from the AVL tree t.
|
|
// Returns True if the depth of the tree has shrunk.
|
|
static Bool avl_remove(AvlTree* t, AvlNode* n)
|
|
{
|
|
Bool ch;
|
|
Int cmpres = cmp_key_root(t, n);
|
|
|
|
if (cmpres < 0) {
|
|
AvlTree left_subtree;
|
|
// Remove from the left subtree
|
|
vg_assert(t->root->left);
|
|
// Only need to set the used fields in the subtree.
|
|
left_subtree.root = t->root->left;
|
|
left_subtree.cmp = t->cmp;
|
|
left_subtree.keyOff = t->keyOff;
|
|
ch = avl_remove(&left_subtree, n);
|
|
t->root->left = left_subtree.root;
|
|
if (ch) {
|
|
switch (t->root->balance++) {
|
|
case -1: return True;
|
|
case 0: return False;
|
|
}
|
|
switch (t->root->right->balance) {
|
|
case 0:
|
|
avl_swl(&(t->root));
|
|
t->root->balance = -1;
|
|
t->root->left->balance = 1;
|
|
return False;
|
|
case 1:
|
|
avl_swl(&(t->root));
|
|
t->root->balance = 0;
|
|
t->root->left->balance = 0;
|
|
return True;
|
|
}
|
|
avl_swr(&(t->root->right));
|
|
avl_swl(&(t->root));
|
|
avl_nasty(t->root);
|
|
return True;
|
|
} else {
|
|
return False;
|
|
}
|
|
|
|
} else if (cmpres > 0) {
|
|
// Remove from the right subtree
|
|
AvlTree right_subtree;
|
|
vg_assert(t->root->right);
|
|
// Only need to set the used fields in the subtree.
|
|
right_subtree.root = t->root->right;
|
|
right_subtree.cmp = t->cmp;
|
|
right_subtree.keyOff = t->keyOff;
|
|
ch = avl_remove(&right_subtree, n);
|
|
t->root->right = right_subtree.root;
|
|
if (ch) {
|
|
switch (t->root->balance--) {
|
|
case 1: return True;
|
|
case 0: return False;
|
|
}
|
|
switch (t->root->left->balance) {
|
|
case 0:
|
|
avl_swr(&(t->root));
|
|
t->root->balance = 1;
|
|
t->root->right->balance = -1;
|
|
return False;
|
|
case -1:
|
|
avl_swr(&(t->root));
|
|
t->root->balance = 0;
|
|
t->root->right->balance = 0;
|
|
return True;
|
|
}
|
|
avl_swl(&(t->root->left));
|
|
avl_swr(&(t->root));
|
|
avl_nasty(t->root);
|
|
return True;
|
|
} else {
|
|
return False;
|
|
}
|
|
|
|
} else {
|
|
// Found the node to be removed.
|
|
vg_assert(t->root == n);
|
|
return avl_removeroot(t);
|
|
}
|
|
}
|
|
|
|
// Remove the root of the AVL tree t.
|
|
// Returns True if the depth of the tree has shrunk.
|
|
static Bool avl_removeroot(AvlTree* t)
|
|
{
|
|
Int ch;
|
|
AvlNode* n;
|
|
|
|
if (!t->root->left) {
|
|
if (!t->root->right) {
|
|
t->root = NULL;
|
|
return True;
|
|
}
|
|
t->root = t->root->right;
|
|
return True;
|
|
}
|
|
if (!t->root->right) {
|
|
t->root = t->root->left;
|
|
return True;
|
|
}
|
|
if (t->root->balance < 0) {
|
|
// Remove from the left subtree
|
|
n = t->root->left;
|
|
while (n->right) n = n->right;
|
|
} else {
|
|
// Remove from the right subtree
|
|
n = t->root->right;
|
|
while (n->left) n = n->left;
|
|
}
|
|
ch = avl_remove(t, n);
|
|
n->left = t->root->left;
|
|
n->right = t->root->right;
|
|
n->balance = t->root->balance;
|
|
t->root = n;
|
|
if (n->balance == 0) return ch;
|
|
return False;
|
|
}
|
|
|
|
// Remove and return the element matching the key 'k', or NULL if not present.
|
|
void* VG_(OSet_Remove)(AvlTree* t, void* k)
|
|
{
|
|
// Have to find the node first, then remove it.
|
|
AvlNode* n = avl_lookup(t, k);
|
|
if (n) {
|
|
avl_remove(t, n);
|
|
t->nElems--;
|
|
t->stackTop = 0; // So the iterator can't get out of sync
|
|
return elem_of_node(n);
|
|
} else {
|
|
return NULL;
|
|
}
|
|
}
|
|
|
|
/*--------------------------------------------------------------------*/
|
|
/*--- Iterator ---*/
|
|
/*--------------------------------------------------------------------*/
|
|
|
|
// The iterator is implemented using in-order traversal with an explicit
|
|
// stack, which lets us do the traversal one step at a time and remember
|
|
// where we are between each call to OSet_Next().
|
|
|
|
void VG_(OSet_ResetIter)(AvlTree* t)
|
|
{
|
|
vg_assert(t);
|
|
stackClear(t);
|
|
if (t->root)
|
|
stackPush(t, t->root, 1);
|
|
}
|
|
|
|
void* VG_(OSet_Next)(AvlTree* t)
|
|
{
|
|
Int i;
|
|
OSetNode* n;
|
|
|
|
vg_assert(t);
|
|
|
|
// This in-order traversal requires each node to be pushed and popped
|
|
// three times. These could be avoided by updating nodes in-situ on the
|
|
// top of the stack, but the push/pop cost is so small that it's worth
|
|
// keeping this loop in this simpler form.
|
|
while (stackPop(t, &n, &i)) {
|
|
switch (i) {
|
|
case 1:
|
|
stackPush(t, n, 2);
|
|
if (n->left) stackPush(t, n->left, 1);
|
|
break;
|
|
case 2:
|
|
stackPush(t, n, 3);
|
|
return elem_of_node(n);
|
|
case 3:
|
|
if (n->right) stackPush(t, n->right, 1);
|
|
break;
|
|
}
|
|
}
|
|
|
|
// Stack empty, iterator is exhausted, return NULL
|
|
return NULL;
|
|
}
|
|
|
|
/*--------------------------------------------------------------------*/
|
|
/*--- Miscellaneous operations ---*/
|
|
/*--------------------------------------------------------------------*/
|
|
|
|
Int VG_(OSet_Size)(AvlTree* t)
|
|
{
|
|
vg_assert(t);
|
|
return t->nElems;
|
|
}
|
|
|
|
static void OSet_Print2( AvlTree* t, AvlNode* n,
|
|
Char*(*strElem)(void *), Int p )
|
|
{
|
|
// This is a recursive in-order traversal.
|
|
Int q = p;
|
|
if (NULL == n) return;
|
|
if (n->right) OSet_Print2(t, n->right, strElem, p+1);
|
|
while (q--) VG_(printf)(".. ");
|
|
VG_(printf)("%s\n", strElem(elem_of_node(n)));
|
|
if (n->left) OSet_Print2(t, n->left, strElem, p+1);
|
|
}
|
|
|
|
__attribute__((unused))
|
|
static void OSet_Print( AvlTree* t, const HChar *where, Char*(*strElem)(void *) )
|
|
{
|
|
VG_(printf)("-- start %s ----------------\n", where);
|
|
OSet_Print2(t, t->root, strElem, 0);
|
|
VG_(printf)("-- end %s ----------------\n", where);
|
|
}
|
|
|
|
/*--------------------------------------------------------------------*/
|
|
/*--- end ---*/
|
|
/*--------------------------------------------------------------------*/
|