You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
949 lines
28 KiB
949 lines
28 KiB
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- An ordered set implemented using an AVL tree. m_oset.c ---*/ |
|
/*--------------------------------------------------------------------*/ |
|
|
|
/* |
|
This file is part of Valgrind, a dynamic binary instrumentation |
|
framework. |
|
|
|
Copyright (C) 2005-2017 Nicholas Nethercote |
|
njn@valgrind.org |
|
|
|
This program is free software; you can redistribute it and/or |
|
modify it under the terms of the GNU General Public License as |
|
published by the Free Software Foundation; either version 2 of the |
|
License, or (at your option) any later version. |
|
|
|
This program is distributed in the hope that it will be useful, but |
|
WITHOUT ANY WARRANTY; without even the implied warranty of |
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
|
General Public License for more details. |
|
|
|
You should have received a copy of the GNU General Public License |
|
along with this program; if not, write to the Free Software |
|
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
|
02111-1307, USA. |
|
|
|
The GNU General Public License is contained in the file COPYING. |
|
*/ |
|
|
|
//---------------------------------------------------------------------- |
|
// This file is based on: |
|
// |
|
// ANSI C Library for maintenance of AVL Balanced Trees |
|
// (C) 2000 Daniel Nagy, Budapest University of Technology and Economics |
|
// Released under GNU General Public License (GPL) version 2 |
|
//---------------------------------------------------------------------- |
|
|
|
// This file implements a generic ordered set using an AVL tree. |
|
// |
|
// Each node in the tree has two parts. |
|
// - First is the AVL metadata, which is three words: a left pointer, a |
|
// right pointer, and a word containing balancing information and a |
|
// "magic" value which provides some checking that the user has not |
|
// corrupted the metadata. So the overhead is 12 bytes on 32-bit |
|
// platforms and 24 bytes on 64-bit platforms. |
|
// - Second is the user's data. This can be anything. Note that because it |
|
// comes after the metadata, it will only be word-aligned, even if the |
|
// user data is a struct that would normally be doubleword-aligned. |
|
// |
|
// AvlNode* node -> +---------------+ V |
|
// | struct | |
|
// | AvlNode | |
|
// void* element -> +---------------+ ^ |
|
// | element | | |
|
// keyOff -> | key | elemSize |
|
// +---------------+ v |
|
// |
|
// Users have to allocate AvlNodes with OSetGen_AllocNode(), which allocates |
|
// space for the metadata. |
|
// |
|
// The terminology used throughout this file: |
|
// - a "node", usually called "n", is a pointer to the metadata. |
|
// - an "element", usually called "e", is a pointer to the user data. |
|
// - a "key", usually called "k", is a pointer to a key. |
|
// |
|
// The helper functions elem_of_node and node_of_elem do the pointer |
|
// arithmetic to switch between the node and the element. The node magic is |
|
// checked after each operation to make sure that we're really operating on |
|
// an AvlNode. |
|
// |
|
// Each tree also has an iterator. Note that we cannot use the iterator |
|
// internally within this file (eg. we could implement OSetGen_Size() by |
|
// stepping through with the iterator and counting nodes) because it's |
|
// non-reentrant -- the user might be using it themselves, and the |
|
// concurrent uses would screw things up. |
|
|
|
#include "pub_core_basics.h" |
|
#include "pub_core_libcbase.h" |
|
#include "pub_core_libcassert.h" |
|
#include "pub_core_libcprint.h" |
|
#include "pub_core_oset.h" |
|
#include "pub_core_poolalloc.h" |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- Types and constants ---*/ |
|
/*--------------------------------------------------------------------*/ |
|
|
|
typedef struct _OSetNode OSetNode; |
|
|
|
// Internal names for the OSet types. |
|
typedef OSet AvlTree; |
|
typedef OSetNode AvlNode; |
|
|
|
// The padding ensures that magic is right at the end of the node, |
|
// regardless of the machine's word size, so that any overwrites will be |
|
// detected earlier. |
|
struct _OSetNode { |
|
AvlNode* left; |
|
AvlNode* right; |
|
Char balance; |
|
Char padding[sizeof(void*)-sizeof(Char)-sizeof(Short)]; |
|
Short magic; |
|
}; |
|
|
|
#define STACK_MAX 32 // At most 2**32 entries can be iterated over |
|
#define OSET_MAGIC 0x5b1f |
|
|
|
// An OSet (AVL tree). If cmp is NULL, the key must be a UWord, and must |
|
// be the first word in the element. If cmp is set, arbitrary keys in |
|
// arbitrary positions can be used. |
|
struct _OSet { |
|
SizeT keyOff; // key offset |
|
OSetCmp_t cmp; // compare a key and an element, or NULL |
|
Alloc_Fn_t alloc_fn; // allocator |
|
const HChar* cc; // cost centre for allocator |
|
Free_Fn_t free_fn; // deallocator |
|
PoolAlloc* node_pa; // (optional) pool allocator for nodes. |
|
SizeT maxEltSize; // for node_pa, must be > 0. Otherwise unused. |
|
UInt nElems; // number of elements in the tree |
|
AvlNode* root; // root node |
|
|
|
AvlNode* nodeStack[STACK_MAX]; // Iterator node stack |
|
Int numStack[STACK_MAX]; // Iterator num stack |
|
Int stackTop; // Iterator stack pointer, one past end |
|
}; |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- Helper operations ---*/ |
|
/*--------------------------------------------------------------------*/ |
|
|
|
// Given a pointer to the node's element, return the pointer to the AvlNode |
|
// structure. If the node has a bad magic number, it will die with an |
|
// assertion failure. |
|
static inline |
|
AvlNode* node_of_elem(const void *elem) |
|
{ |
|
AvlNode* n = (AvlNode*)((Addr)elem - sizeof(AvlNode)); |
|
vg_assert2(n->magic == OSET_MAGIC, |
|
"bad magic on node %p = %x (expected %x)\n" |
|
"possible causes:\n" |
|
" - node not allocated with VG_(OSetGen_AllocNode)()?\n" |
|
" - node metadata corrupted by underwriting start of element?\n", |
|
n, n->magic, OSET_MAGIC); |
|
return n; |
|
} |
|
|
|
// Given an AvlNode, return the pointer to the element. |
|
static inline |
|
void* elem_of_node(const AvlNode *n) |
|
{ |
|
vg_assert2(n->magic == OSET_MAGIC, |
|
"bad magic on node %p = %x (expected %x)\n" |
|
"possible causes:\n" |
|
" - node metadata corrupted by overwriting end of element?\n", |
|
n, n->magic, OSET_MAGIC); |
|
return (void*)((Addr)n + sizeof(AvlNode)); |
|
} |
|
|
|
// Like elem_of_node, but no magic checking. |
|
static inline |
|
void* elem_of_node_no_check(const AvlNode *n) |
|
{ |
|
return (void*)((Addr)n + sizeof(AvlNode)); |
|
} |
|
|
|
static inline |
|
void* slow_key_of_node(const AvlTree* t, const AvlNode* n) |
|
{ |
|
return (void*)((Addr)elem_of_node(n) + t->keyOff); |
|
} |
|
|
|
static inline |
|
void* fast_key_of_node(const AvlNode* n) |
|
{ |
|
return elem_of_node(n); |
|
} |
|
|
|
// Compare the first word of each element. Inlining is *crucial*. |
|
static inline Word fast_cmp(const void* k, const AvlNode* n) |
|
{ |
|
UWord w1 = *(const UWord*)k; |
|
UWord w2 = *(const UWord*)elem_of_node(n); |
|
// In previous versions, we tried to do this faster by doing |
|
// "return w1 - w2". But it didn't work reliably, because the |
|
// complete result of subtracting two N-bit numbers is an N+1-bit |
|
// number, and what the caller is interested in is the sign of |
|
// the complete N+1-bit result. The branching version is slightly |
|
// slower, but safer and easier to understand. |
|
if (w1 > w2) return 1; |
|
if (w1 < w2) return -1; |
|
return 0; |
|
} |
|
|
|
// Compare a key and an element. Inlining is *crucial*. |
|
static |
|
inline Word slow_cmp(const AvlTree* t, const void* k, const AvlNode* n) |
|
{ |
|
return t->cmp(k, elem_of_node(n)); |
|
} |
|
|
|
|
|
// Swing to the left. Warning: no balance maintenance. |
|
static void avl_swl ( AvlNode** root ) |
|
{ |
|
AvlNode* a = *root; |
|
AvlNode* b = a->right; |
|
*root = b; |
|
a->right = b->left; |
|
b->left = a; |
|
} |
|
|
|
// Swing to the right. Warning: no balance maintenance. |
|
static void avl_swr ( AvlNode** root ) |
|
{ |
|
AvlNode* a = *root; |
|
AvlNode* b = a->left; |
|
*root = b; |
|
a->left = b->right; |
|
b->right = a; |
|
} |
|
|
|
// Balance maintenance after especially nasty swings. |
|
static void avl_nasty ( AvlNode* root ) |
|
{ |
|
switch (root->balance) { |
|
case -1: |
|
root->left->balance = 0; |
|
root->right->balance = 1; |
|
break; |
|
case 1: |
|
root->left->balance =-1; |
|
root->right->balance = 0; |
|
break; |
|
case 0: |
|
root->left->balance = 0; |
|
root->right->balance = 0; |
|
} |
|
root->balance = 0; |
|
} |
|
|
|
|
|
// Clear the iterator stack. |
|
static void stackClear(AvlTree* t) |
|
{ |
|
Int i; |
|
vg_assert(t); |
|
for (i = 0; i < STACK_MAX; i++) { |
|
t->nodeStack[i] = NULL; |
|
t->numStack[i] = 0; |
|
} |
|
t->stackTop = 0; |
|
} |
|
|
|
// Push onto the iterator stack. |
|
static inline void stackPush(AvlTree* t, AvlNode* n, Int i) |
|
{ |
|
vg_assert(t->stackTop < STACK_MAX); |
|
vg_assert(1 <= i && i <= 3); |
|
t->nodeStack[t->stackTop] = n; |
|
t-> numStack[t->stackTop] = i; |
|
t->stackTop++; |
|
} |
|
|
|
// Pop from the iterator stack. |
|
static inline Bool stackPop(AvlTree* t, AvlNode** n, Int* i) |
|
{ |
|
vg_assert(t->stackTop <= STACK_MAX); |
|
|
|
if (t->stackTop > 0) { |
|
t->stackTop--; |
|
*n = t->nodeStack[t->stackTop]; |
|
*i = t-> numStack[t->stackTop]; |
|
vg_assert(1 <= *i && *i <= 3); |
|
t->nodeStack[t->stackTop] = NULL; |
|
t-> numStack[t->stackTop] = 0; |
|
return True; |
|
} else { |
|
return False; |
|
} |
|
} |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- Creating and destroying AvlTrees and AvlNodes ---*/ |
|
/*--------------------------------------------------------------------*/ |
|
|
|
// The underscores avoid GCC complaints about overshadowing global names. |
|
AvlTree* VG_(OSetGen_Create)(PtrdiffT keyOff, OSetCmp_t cmp, |
|
Alloc_Fn_t alloc_fn, const HChar* cc, |
|
Free_Fn_t free_fn) |
|
{ |
|
AvlTree* t; |
|
|
|
// Check the padding is right and the AvlNode is the expected size. |
|
vg_assert(sizeof(AvlNode) == 3*sizeof(void*)); |
|
|
|
// Sanity check args |
|
vg_assert(alloc_fn); |
|
vg_assert(free_fn); |
|
if (!cmp) vg_assert(0 == keyOff); // If no cmp, offset must be zero |
|
|
|
t = alloc_fn(cc, sizeof(AvlTree)); |
|
t->keyOff = keyOff; |
|
t->cmp = cmp; |
|
t->alloc_fn = alloc_fn; |
|
t->cc = cc; |
|
t->free_fn = free_fn; |
|
t->node_pa = NULL; |
|
t->maxEltSize = 0; // Just in case it would be wrongly used. |
|
t->nElems = 0; |
|
t->root = NULL; |
|
stackClear(t); |
|
|
|
return t; |
|
} |
|
|
|
AvlTree* VG_(OSetGen_Create_With_Pool)(PtrdiffT keyOff, OSetCmp_t cmp, |
|
Alloc_Fn_t alloc_fn, const HChar* cc, |
|
Free_Fn_t free_fn, |
|
SizeT poolSize, |
|
SizeT maxEltSize) |
|
{ |
|
AvlTree* t; |
|
|
|
t = VG_(OSetGen_Create) (keyOff, cmp, alloc_fn, cc, free_fn); |
|
|
|
vg_assert (poolSize > 0); |
|
vg_assert (maxEltSize > 0); |
|
t->maxEltSize = maxEltSize; |
|
t->node_pa = VG_(newPA)(sizeof(AvlNode) |
|
+ VG_ROUNDUP(maxEltSize, sizeof(void*)), |
|
poolSize, |
|
t->alloc_fn, |
|
cc, |
|
t->free_fn); |
|
VG_(addRefPA) (t->node_pa); |
|
|
|
return t; |
|
} |
|
|
|
AvlTree* VG_(OSetGen_EmptyClone) (const AvlTree* os) |
|
{ |
|
AvlTree* t; |
|
|
|
vg_assert(os); |
|
|
|
t = os->alloc_fn(os->cc, sizeof(AvlTree)); |
|
t->keyOff = os->keyOff; |
|
t->cmp = os->cmp; |
|
t->alloc_fn = os->alloc_fn; |
|
t->cc = os->cc; |
|
t->free_fn = os->free_fn; |
|
t->node_pa = os->node_pa; |
|
if (t->node_pa) |
|
VG_(addRefPA) (t->node_pa); |
|
t->maxEltSize = os->maxEltSize; |
|
t->nElems = 0; |
|
t->root = NULL; |
|
stackClear(t); |
|
|
|
return t; |
|
} |
|
|
|
AvlTree* VG_(OSetWord_Create)(Alloc_Fn_t alloc_fn, const HChar* cc, |
|
Free_Fn_t free_fn) |
|
{ |
|
return VG_(OSetGen_Create)(/*keyOff*/0, /*cmp*/NULL, alloc_fn, cc, free_fn); |
|
} |
|
|
|
// Destructor, frees up all memory held by remaining nodes. |
|
void VG_(OSetGen_Destroy)(AvlTree* t) |
|
{ |
|
Bool has_node_pa; |
|
vg_assert(t); |
|
|
|
has_node_pa = t->node_pa != NULL; |
|
|
|
/* |
|
* If we are the only remaining user of this pool allocator, release all |
|
* the elements by deleting the pool allocator. That's more efficient than |
|
* deleting tree nodes one by one. |
|
*/ |
|
if (!has_node_pa || VG_(releasePA)(t->node_pa) > 0) { |
|
AvlNode* n = NULL; |
|
Int i = 0; |
|
UWord sz = 0; |
|
|
|
stackClear(t); |
|
if (t->root) |
|
stackPush(t, t->root, 1); |
|
|
|
/* Free all the AvlNodes. This is a post-order traversal, because we */ |
|
/* must free all children of a node before the node itself. */ |
|
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); |
|
if (n->right) stackPush(t, n->right, 1); |
|
break; |
|
case 3: |
|
if (has_node_pa) |
|
VG_(freeEltPA) (t->node_pa, n); |
|
else |
|
t->free_fn(n); |
|
sz++; |
|
break; |
|
} |
|
} |
|
vg_assert(sz == t->nElems); |
|
} |
|
|
|
/* Free the AvlTree itself. */ |
|
t->free_fn(t); |
|
} |
|
|
|
void VG_(OSetWord_Destroy)(AvlTree* t) |
|
{ |
|
VG_(OSetGen_Destroy)(t); |
|
} |
|
|
|
// Allocate and initialise a new node. |
|
void* VG_(OSetGen_AllocNode)(const AvlTree* t, SizeT elemSize) |
|
{ |
|
AvlNode* n; |
|
Int nodeSize = sizeof(AvlNode) + elemSize; |
|
vg_assert(elemSize > 0); |
|
if (t->node_pa) { |
|
vg_assert(elemSize <= t->maxEltSize); |
|
n = VG_(allocEltPA) (t->node_pa); |
|
} else { |
|
n = t->alloc_fn( t->cc, nodeSize ); |
|
} |
|
VG_(memset)(n, 0, nodeSize); |
|
n->magic = OSET_MAGIC; |
|
return elem_of_node(n); |
|
} |
|
|
|
void VG_(OSetGen_FreeNode)(const AvlTree* t, void* e) |
|
{ |
|
if (t->node_pa) |
|
VG_(freeEltPA) (t->node_pa, node_of_elem (e)); |
|
else |
|
t->free_fn( node_of_elem(e) ); |
|
} |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- Insertion ---*/ |
|
/*--------------------------------------------------------------------*/ |
|
|
|
static inline Word cmp_key_root(const AvlTree* t, const AvlNode* n) |
|
{ |
|
return t->cmp |
|
? slow_cmp(t, slow_key_of_node(t, n), t->root) |
|
: fast_cmp( fast_key_of_node( n), t->root); |
|
} |
|
|
|
// Insert element e into the non-empty AVL tree t. |
|
// Returns True if the depth of the tree has grown. |
|
static Bool avl_insert(AvlTree* t, AvlNode* n) |
|
{ |
|
Word cmpres = cmp_key_root(t, n); |
|
|
|
if (cmpres < 0) { |
|
// Insert into the left subtree. |
|
if (t->root->left) { |
|
// Only need to set the used fields in the subtree. |
|
AvlTree left_subtree; |
|
left_subtree.root = t->root->left; |
|
left_subtree.cmp = t->cmp; |
|
left_subtree.keyOff = t->keyOff; |
|
if (avl_insert(&left_subtree, n)) { |
|
switch (t->root->balance--) { |
|
case 1: return False; |
|
case 0: return True; |
|
} |
|
if (t->root->left->balance < 0) { |
|
avl_swr(&(t->root)); |
|
t->root->balance = 0; |
|
t->root->right->balance = 0; |
|
} else { |
|
avl_swl(&(t->root->left)); |
|
avl_swr(&(t->root)); |
|
avl_nasty(t->root); |
|
} |
|
} else { |
|
t->root->left=left_subtree.root; |
|
} |
|
return False; |
|
} else { |
|
t->root->left = n; |
|
if (t->root->balance--) return False; |
|
return True; |
|
} |
|
|
|
} else if (cmpres > 0) { |
|
// Insert into the right subtree |
|
if (t->root->right) { |
|
// Only need to set the used fields in the subtree. |
|
AvlTree right_subtree; |
|
right_subtree.root = t->root->right; |
|
right_subtree.cmp = t->cmp; |
|
right_subtree.keyOff = t->keyOff; |
|
if (avl_insert(&right_subtree, n)) { |
|
switch (t->root->balance++) { |
|
case -1: return False; |
|
case 0: return True; |
|
} |
|
if (t->root->right->balance > 0) { |
|
avl_swl(&(t->root)); |
|
t->root->balance = 0; |
|
t->root->left->balance = 0; |
|
} else { |
|
avl_swr(&(t->root->right)); |
|
avl_swl(&(t->root)); |
|
avl_nasty(t->root); |
|
} |
|
} else { |
|
t->root->right=right_subtree.root; |
|
} |
|
return False; |
|
} else { |
|
t->root->right = n; |
|
if (t->root->balance++) return False; |
|
return True; |
|
} |
|
|
|
} else { |
|
vg_assert2(0, "OSet{Word,Gen}_Insert: duplicate element added"); |
|
} |
|
} |
|
|
|
// Insert element e into the AVL tree t. This is just a wrapper for |
|
// avl_insert() which doesn't return a Bool. |
|
void VG_(OSetGen_Insert)(AvlTree* t, void* e) |
|
{ |
|
AvlNode* n; |
|
|
|
vg_assert(t); |
|
|
|
// Initialise. Even though OSetGen_AllocNode zeroes these fields, |
|
// we should do it again in case a node is removed and then |
|
// re-added to the tree. |
|
n = node_of_elem(e); |
|
n->left = 0; |
|
n->right = 0; |
|
n->balance = 0; |
|
|
|
// Insert into an empty tree |
|
if (!t->root) { |
|
t->root = n; |
|
} else { |
|
avl_insert(t, n); |
|
} |
|
|
|
t->nElems++; |
|
t->stackTop = 0; // So the iterator can't get out of sync |
|
} |
|
|
|
void VG_(OSetWord_Insert)(AvlTree* t, UWord val) |
|
{ |
|
Word* node = VG_(OSetGen_AllocNode)(t, sizeof(UWord)); |
|
*node = val; |
|
VG_(OSetGen_Insert)(t, node); |
|
} |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- Lookup ---*/ |
|
/*--------------------------------------------------------------------*/ |
|
|
|
// Find the *node* in t matching k, or NULL if not found. |
|
static AvlNode* avl_lookup(const AvlTree* t, const void* k) |
|
{ |
|
Word cmpres; |
|
AvlNode* curr = t->root; |
|
|
|
if (t->cmp) { |
|
// General case |
|
while (True) { |
|
if (curr == NULL) return NULL; |
|
cmpres = slow_cmp(t, k, curr); |
|
if (cmpres < 0) curr = curr->left; |
|
else if (cmpres > 0) curr = curr->right; |
|
else return curr; |
|
} |
|
} else { |
|
// Fast-track special case. We use the no-check version of |
|
// elem_of_node because it saves about 10% on lookup time. This |
|
// shouldn't be very dangerous because each node will have been |
|
// checked on insertion. |
|
UWord w1 = *(const UWord*)k; |
|
UWord w2; |
|
while (True) { |
|
if (curr == NULL) return NULL; |
|
w2 = *(UWord*)elem_of_node_no_check(curr); |
|
if (w1 < w2) curr = curr->left; |
|
else if (w1 > w2) curr = curr->right; |
|
else return curr; |
|
} |
|
} |
|
} |
|
|
|
// Find the *element* in t matching k, or NULL if not found. |
|
void* VG_(OSetGen_Lookup)(const AvlTree* t, const void* k) |
|
{ |
|
AvlNode* n; |
|
vg_assert(t); |
|
n = avl_lookup(t, k); |
|
return ( n ? elem_of_node(n) : NULL ); |
|
} |
|
|
|
// Find the *element* in t matching k, or NULL if not found; use the given |
|
// comparison function rather than the standard one. |
|
void* VG_(OSetGen_LookupWithCmp)(AvlTree* t, const void* k, OSetCmp_t cmp) |
|
{ |
|
// Save the normal one to the side, then restore once we're done. |
|
void* e; |
|
OSetCmp_t tmpcmp; |
|
vg_assert(t); |
|
tmpcmp = t->cmp; |
|
t->cmp = cmp; |
|
e = VG_(OSetGen_Lookup)(t, k); |
|
t->cmp = tmpcmp; |
|
return e; |
|
} |
|
|
|
// Is there an element matching k? |
|
Bool VG_(OSetGen_Contains)(const AvlTree* t, const void* k) |
|
{ |
|
return (NULL != VG_(OSetGen_Lookup)(t, k)); |
|
} |
|
|
|
Bool VG_(OSetWord_Contains)(const AvlTree* t, UWord val) |
|
{ |
|
return (NULL != VG_(OSetGen_Lookup)(t, &val)); |
|
} |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- 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, const AvlNode* n) |
|
{ |
|
Bool ch; |
|
Word 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) |
|
{ |
|
Bool 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_(OSetGen_Remove)(AvlTree* t, const 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; |
|
} |
|
} |
|
|
|
Bool VG_(OSetWord_Remove)(AvlTree* t, UWord val) |
|
{ |
|
void* n = VG_(OSetGen_Remove)(t, &val); |
|
if (n) { |
|
VG_(OSetGen_FreeNode)(t, n); |
|
return True; |
|
} else { |
|
return False; |
|
} |
|
} |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- 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 OSetGen_Next(). |
|
|
|
void VG_(OSetGen_ResetIter)(AvlTree* t) |
|
{ |
|
vg_assert(t); |
|
stackClear(t); |
|
if (t->root) |
|
stackPush(t, t->root, 1); |
|
} |
|
|
|
void VG_(OSetWord_ResetIter)(AvlTree* t) |
|
{ |
|
VG_(OSetGen_ResetIter)(t); |
|
} |
|
|
|
void* VG_(OSetGen_Next)(AvlTree* t) |
|
{ |
|
Int i = 0; |
|
OSetNode* n = NULL; |
|
|
|
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: case_1: |
|
stackPush(t, n, 2); |
|
/* if (n->left) stackPush(t, n->left, 1); */ |
|
if (n->left) { n = n->left; goto case_1; } |
|
break; |
|
case 2: |
|
stackPush(t, n, 3); |
|
return elem_of_node(n); |
|
case 3: |
|
/* if (n->right) stackPush(t, n->right, 1); */ |
|
if (n->right) { n = n->right; goto case_1; } |
|
break; |
|
} |
|
} |
|
|
|
// Stack empty, iterator is exhausted, return NULL |
|
return NULL; |
|
} |
|
|
|
Bool VG_(OSetWord_Next)(AvlTree* t, UWord* val) |
|
{ |
|
UWord* n = VG_(OSetGen_Next)(t); |
|
if (n) { |
|
*val = *n; |
|
return True; |
|
} else { |
|
return False; |
|
} |
|
} |
|
|
|
// set up 'oset' for iteration so that the first key subsequently |
|
// produced VG_(OSetGen_Next) is the smallest key in the map |
|
// >= start_at. Naturally ">=" is defined by the comparison |
|
// function supplied to VG_(OSetGen_Create). |
|
void VG_(OSetGen_ResetIterAt)(AvlTree* oset, const void* k) |
|
{ |
|
AvlNode *t; |
|
Word cmpresS; /* signed */ |
|
UWord cmpresU; /* unsigned */ |
|
|
|
vg_assert(oset); |
|
stackClear(oset); |
|
|
|
if (!oset->root) |
|
return; |
|
|
|
// We need to do regular search and fill in the stack. |
|
t = oset->root; |
|
|
|
while (True) { |
|
if (t == NULL) return; |
|
|
|
if (oset->cmp) { |
|
cmpresS = (Word)slow_cmp(oset, k, t); |
|
} else { |
|
cmpresS = fast_cmp(k, t); |
|
} |
|
|
|
/* Switch the sense of the comparison, since the comparison |
|
order of args (k vs t) above is opposite to that of the |
|
corresponding code in hg_wordfm.c. */ |
|
if (cmpresS < 0) { cmpresS = 1; } |
|
else if (cmpresS > 0) { cmpresS = -1; } |
|
|
|
if (cmpresS == 0) { |
|
// We found the exact key -- we are done. |
|
// The iteration should start with this node. |
|
stackPush(oset, t, 2); |
|
// The stack now looks like {2, 2, ... ,2, 2} |
|
return; |
|
} |
|
cmpresU = (UWord)cmpresS; |
|
cmpresU >>=/*unsigned*/ (8 * sizeof(cmpresU) - 1); |
|
vg_assert(cmpresU == 0 || cmpresU == 1); |
|
if (!cmpresU) { |
|
// Push this node only if we go to the left child. |
|
stackPush(oset, t, 2); |
|
} |
|
t = cmpresU==0 ? t->left : t->right; |
|
} |
|
} |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- Miscellaneous operations ---*/ |
|
/*--------------------------------------------------------------------*/ |
|
|
|
UInt VG_(OSetGen_Size)(const AvlTree* t) |
|
{ |
|
vg_assert(t); |
|
return t->nElems; |
|
} |
|
|
|
Word VG_(OSetWord_Size)(const AvlTree* t) |
|
{ |
|
return VG_(OSetGen_Size)(t); |
|
} |
|
|
|
static void OSet_Print2( const AvlTree* t, const AvlNode* n, |
|
const HChar*(*strElem)(const 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( const AvlTree* t, const HChar *where, |
|
const HChar*(*strElem)(const void *) ) |
|
{ |
|
VG_(printf)("-- start %s ----------------\n", where); |
|
OSet_Print2(t, t->root, strElem, 0); |
|
VG_(printf)("-- end %s ----------------\n", where); |
|
} |
|
|
|
/*--------------------------------------------------------------------*/ |
|
/*--- end ---*/ |
|
/*--------------------------------------------------------------------*/
|
|
|