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btree.h
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btree.h
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#pragma once
#include <assert.h>
#include <malloc.h>
#include <pthread.h>
#include <stdint.h>
#include <stdlib.h>
#include <string.h>
#include <iostream>
#include <string>
#include <vector>
#include <utility>
#include <atomic>
#include <thread>
#include "log2.hh"
#include "ndb_type_traits.h"
#include "varkey.h"
#include "counter.h"
#include "macros.h"
#include "prefetch.h"
#include "amd64.h"
#include "rcu.h"
#include "util.h"
#include "small_vector.h"
#include "ownership_checker.h"
namespace private_ {
template <typename T, typename P> struct u64manip;
template <typename P>
struct u64manip<uint64_t, P> {
static inline uint64_t Load(uint64_t t) { return t; }
static inline void Store(uint64_t &t, uint64_t v) { t = v; }
static inline uint64_t
Lock(uint64_t &t)
{
#ifdef CHECK_INVARIANTS
INVARIANT(!P::IsLocked(t));
t |= P::HDR_LOCKED_MASK;
return t;
#endif
return 0;
}
static inline uint64_t
LockWithSpinCount(uint64_t &t, unsigned &spins)
{
const uint64_t ret = Lock(t);
spins = 0;
return ret;
}
static inline void
Unlock(uint64_t &t)
{
#ifdef CHECK_INVARIANTS
INVARIANT(P::IsLocked(t));
t &= ~(P::HDR_LOCKED_MASK | P::HDR_MODIFYING_MASK);
#endif
}
static inline uint64_t
StableVersion(uint64_t t)
{
INVARIANT(!P::IsModifying(t));
return t;
}
static inline bool
CheckVersion(uint64_t t, uint64_t stablev)
{
INVARIANT(!P::IsModifying(stablev));
INVARIANT((t & ~P::HDR_LOCKED_MASK) == (stablev & ~P::HDR_LOCKED_MASK));
return true;
}
};
template <typename P>
struct u64manip<std::atomic<uint64_t>, P> {
static inline uint64_t
Load(const std::atomic<uint64_t> &t)
{
return t.load(std::memory_order_acquire);
}
static inline void
Store(std::atomic<uint64_t> &t, uint64_t v)
{
t.store(v, std::memory_order_release);
}
static inline uint64_t
Lock(std::atomic<uint64_t> &t)
{
#ifdef SPINLOCK_BACKOFF
uint64_t backoff_shift = 0;
#endif
uint64_t v = Load(t);
while ((v & P::HDR_LOCKED_MASK) ||
!t.compare_exchange_strong(v, v | P::HDR_LOCKED_MASK)) {
#ifdef SPINLOCK_BACKOFF
if (backoff_shift < 63)
backoff_shift++;
uint64_t spins = (1UL << backoff_shift) * BACKOFF_SPINS_FACTOR;
while (spins) {
nop_pause();
spins--;
}
#else
nop_pause();
#endif
v = Load(t);
}
COMPILER_MEMORY_FENCE;
return v;
}
static inline uint64_t
LockWithSpinCount(std::atomic<uint64_t> &t, unsigned &spins)
{
#ifdef SPINLOCK_BACKOFF
uint64_t backoff_shift = 0;
#endif
spins = 0;
uint64_t v = Load(t);
while ((v & P::HDR_LOCKED_MASK) ||
!t.compare_exchange_strong(v, v | P::HDR_LOCKED_MASK)) {
#ifdef SPINLOCK_BACKOFF
if (backoff_shift < 63)
backoff_shift++;
uint64_t backoff_spins = (1UL << backoff_shift) * BACKOFF_SPINS_FACTOR;
while (backoff_spins) {
nop_pause();
backoff_spins--;
}
#else
nop_pause();
#endif
v = Load(t);
spins++;
}
COMPILER_MEMORY_FENCE;
return v;
}
static inline void
Unlock(std::atomic<uint64_t> &v)
{
INVARIANT(P::IsLocked(v));
const uint64_t oldh = Load(v);
uint64_t h = oldh;
bool newv = false;
if ((h & P::HDR_MODIFYING_MASK) ||
(h & P::HDR_DELETING_MASK)) {
newv = true;
const uint64_t n = (h & P::HDR_VERSION_MASK) >> P::HDR_VERSION_SHIFT;
h &= ~P::HDR_VERSION_MASK;
h |= (((n + 1) << P::HDR_VERSION_SHIFT) & P::HDR_VERSION_MASK);
}
// clear locked + modifying bits
h &= ~(P::HDR_LOCKED_MASK | P::HDR_MODIFYING_MASK);
if (newv)
INVARIANT(!CheckVersion(oldh, h));
INVARIANT(!(h & P::HDR_LOCKED_MASK));
INVARIANT(!(h & P::HDR_MODIFYING_MASK));
COMPILER_MEMORY_FENCE;
Store(v, h);
}
static inline uint64_t
StableVersion(const std::atomic<uint64_t> &t)
{
uint64_t v = Load(t);
while ((v & P::HDR_MODIFYING_MASK)) {
nop_pause();
v = Load(t);
}
COMPILER_MEMORY_FENCE;
return v;
}
static inline bool
CheckVersion(uint64_t t, uint64_t stablev)
{
INVARIANT(!(stablev & P::HDR_MODIFYING_MASK));
COMPILER_MEMORY_FENCE;
return (t & ~P::HDR_LOCKED_MASK) ==
(stablev & ~P::HDR_LOCKED_MASK);
}
};
}
/**
* manipulates a btree version
*
* hdr bits: layout is (actual bytes depend on the NKeysPerNode parameter)
*
* <-- low bits
* [type | key_slots_used | locked | is_root | modifying | deleting | version ]
* [0:1 | 1:5 | 5:6 | 6:7 | 7:8 | 8:9 | 9:64 ]
*
* bit invariants:
* 1) modifying => locked
* 2) deleting => locked
*
* WARNING: the correctness of our concurrency scheme relies on being able
* to do a memory reads/writes from/to hdr atomically. x86 architectures
* guarantee that aligned writes are atomic (see intel spec)
*/
template <typename VersionType, unsigned NKeysPerNode>
class btree_version_manip {
typedef
typename private_::typeutil<VersionType>::func_param_type
LoadVersionType;
typedef
private_::u64manip<
VersionType,
btree_version_manip<VersionType, NKeysPerNode>>
U64Manip;
static inline constexpr uint64_t
LowMask(uint64_t nbits)
{
return (1UL << nbits) - 1UL;
}
public:
static const uint64_t HDR_TYPE_BITS = 1;
static const uint64_t HDR_TYPE_MASK = 0x1;
static const uint64_t HDR_KEY_SLOTS_SHIFT = HDR_TYPE_BITS;
static const uint64_t HDR_KEY_SLOTS_BITS = ceil_log2_const(NKeysPerNode);
static const uint64_t HDR_KEY_SLOTS_MASK = LowMask(HDR_KEY_SLOTS_BITS) << HDR_KEY_SLOTS_SHIFT;
static const uint64_t HDR_LOCKED_SHIFT = HDR_KEY_SLOTS_SHIFT + HDR_KEY_SLOTS_BITS;
static const uint64_t HDR_LOCKED_BITS = 1;
static const uint64_t HDR_LOCKED_MASK = LowMask(HDR_LOCKED_BITS) << HDR_LOCKED_SHIFT;
static const uint64_t HDR_IS_ROOT_SHIFT = HDR_LOCKED_SHIFT + HDR_LOCKED_BITS;
static const uint64_t HDR_IS_ROOT_BITS = 1;
static const uint64_t HDR_IS_ROOT_MASK = LowMask(HDR_IS_ROOT_BITS) << HDR_IS_ROOT_SHIFT;
static const uint64_t HDR_MODIFYING_SHIFT = HDR_IS_ROOT_SHIFT + HDR_IS_ROOT_BITS;
static const uint64_t HDR_MODIFYING_BITS = 1;
static const uint64_t HDR_MODIFYING_MASK = LowMask(HDR_MODIFYING_BITS) << HDR_MODIFYING_SHIFT;
static const uint64_t HDR_DELETING_SHIFT = HDR_MODIFYING_SHIFT + HDR_MODIFYING_BITS;
static const uint64_t HDR_DELETING_BITS = 1;
static const uint64_t HDR_DELETING_MASK = LowMask(HDR_DELETING_BITS) << HDR_DELETING_SHIFT;
static const uint64_t HDR_VERSION_SHIFT = HDR_DELETING_SHIFT + HDR_DELETING_BITS;
static const uint64_t HDR_VERSION_MASK = ((uint64_t)-1) << HDR_VERSION_SHIFT;
// sanity checks
static_assert(NKeysPerNode >= 1, "XX");
static_assert(std::numeric_limits<uint64_t>::max() == (
HDR_TYPE_MASK |
HDR_KEY_SLOTS_MASK |
HDR_LOCKED_MASK |
HDR_IS_ROOT_MASK |
HDR_MODIFYING_MASK |
HDR_DELETING_MASK |
HDR_VERSION_MASK
), "XX");
static_assert( !(HDR_TYPE_MASK & HDR_KEY_SLOTS_MASK) , "XX");
static_assert( !(HDR_KEY_SLOTS_MASK & HDR_LOCKED_MASK) , "XX");
static_assert( !(HDR_LOCKED_MASK & HDR_IS_ROOT_MASK) , "XX");
static_assert( !(HDR_IS_ROOT_MASK & HDR_MODIFYING_MASK) , "XX");
static_assert( !(HDR_MODIFYING_MASK & HDR_DELETING_MASK) , "XX");
static_assert( !(HDR_DELETING_MASK & HDR_VERSION_MASK) , "XX");
// low level ops
static inline uint64_t
Load(LoadVersionType v)
{
return U64Manip::Load(v);
}
static inline void
Store(VersionType &t, uint64_t v)
{
U64Manip::Store(t, v);
}
// accessors
static inline bool
IsLeafNode(LoadVersionType v)
{
return (Load(v) & HDR_TYPE_MASK) == 0;
}
static inline bool
IsInternalNode(LoadVersionType v)
{
return !IsLeafNode(v);
}
static inline size_t
KeySlotsUsed(LoadVersionType v)
{
return (Load(v) & HDR_KEY_SLOTS_MASK) >> HDR_KEY_SLOTS_SHIFT;
}
static inline bool
IsLocked(LoadVersionType v)
{
return (Load(v) & HDR_LOCKED_MASK);
}
static inline bool
IsRoot(LoadVersionType v)
{
return (Load(v) & HDR_IS_ROOT_MASK);
}
static inline bool
IsModifying(LoadVersionType v)
{
return (Load(v) & HDR_MODIFYING_MASK);
}
static inline bool
IsDeleting(LoadVersionType v)
{
return (Load(v) & HDR_DELETING_MASK);
}
static inline uint64_t
Version(LoadVersionType v)
{
return (Load(v) & HDR_VERSION_MASK) >> HDR_VERSION_SHIFT;
}
static std::string
VersionInfoStr(LoadVersionType v)
{
std::ostringstream buf;
buf << "[";
if (IsLeafNode(v))
buf << "LEAF";
else
buf << "INT";
buf << " | ";
buf << KeySlotsUsed(v) << " | ";
if (IsLocked(v))
buf << "LOCKED";
else
buf << "-";
buf << " | ";
if (IsRoot(v))
buf << "ROOT";
else
buf << "-";
buf << " | ";
if (IsModifying(v))
buf << "MOD";
else
buf << "-";
buf << " | ";
if (IsDeleting(v))
buf << "DEL";
else
buf << "-";
buf << " | ";
buf << Version(v);
buf << "]";
return buf.str();
}
// mutators
static inline void
SetKeySlotsUsed(VersionType &v, size_t n)
{
INVARIANT(n <= NKeysPerNode);
INVARIANT(IsModifying(v));
uint64_t h = Load(v);
h &= ~HDR_KEY_SLOTS_MASK;
h |= (n << HDR_KEY_SLOTS_SHIFT);
Store(v, h);
}
static inline void
IncKeySlotsUsed(VersionType &v)
{
SetKeySlotsUsed(v, KeySlotsUsed(v) + 1);
}
static inline void
DecKeySlotsUsed(VersionType &v)
{
INVARIANT(KeySlotsUsed(v) > 0);
SetKeySlotsUsed(v, KeySlotsUsed(v) - 1);
}
static inline void
SetRoot(VersionType &v)
{
INVARIANT(IsLocked(v));
INVARIANT(!IsRoot(v));
uint64_t h = Load(v);
h |= HDR_IS_ROOT_MASK;
Store(v, h);
}
static inline void
ClearRoot(VersionType &v)
{
INVARIANT(IsLocked(v));
INVARIANT(IsRoot(v));
uint64_t h = Load(v);
h &= ~HDR_IS_ROOT_MASK;
Store(v, h);
}
static inline void
MarkModifying(VersionType &v)
{
INVARIANT(IsLocked(v));
INVARIANT(!IsModifying(v));
uint64_t h = Load(v);
h |= HDR_MODIFYING_MASK;
Store(v, h);
}
static inline void
MarkDeleting(VersionType &v)
{
INVARIANT(IsLocked(v));
INVARIANT(!IsDeleting(v));
uint64_t h = Load(v);
h |= HDR_DELETING_MASK;
Store(v, h);
}
// concurrency control
static inline uint64_t
StableVersion(LoadVersionType v)
{
return U64Manip::StableVersion(v);
}
static inline uint64_t
UnstableVersion(LoadVersionType v)
{
return Load(v);
}
static inline bool
CheckVersion(LoadVersionType v, uint64_t stablev)
{
return U64Manip::CheckVersion(Load(v), stablev);
}
static inline uint64_t
Lock(VersionType &v)
{
return U64Manip::Lock(v);
}
static inline uint64_t
LockWithSpinCount(VersionType &v, unsigned &spins)
{
return U64Manip::LockWithSpinCount(v, spins);
}
static inline void
Unlock(VersionType &v)
{
U64Manip::Unlock(v);
}
};
struct base_btree_config {
static const unsigned int NKeysPerNode = 15;
static const bool RcuRespCaller = true;
};
struct concurrent_btree_traits : public base_btree_config {
typedef std::atomic<uint64_t> VersionType;
};
struct single_threaded_btree_traits : public base_btree_config {
typedef uint64_t VersionType;
};
/**
* A concurrent, variable key length b+-tree, optimized for read heavy
* workloads.
*
* This b+-tree maps uninterpreted binary strings (key_type) of arbitrary
* length to a single pointer (value_type). Binary string values are copied
* into the b+-tree, so the caller does not have to worry about preserving
* memory for key values.
*
* This b+-tree does not manage the memory pointed to by value_type. The
* pointer is treated completely opaquely.
*
* So far, this b+-tree has only been tested on 64-bit intel x86 processors.
* It's correctness, as it is implemented (not conceptually), requires the
* semantics of total store order (TSO) for correctness. To fix this, we would
* change compiler fences into actual memory fences, at the very least.
*/
template <typename P>
class btree {
template <template <typename> class, typename>
friend class base_txn_btree;
public:
typedef varkey key_type;
typedef std::string string_type;
typedef uint64_t key_slice;
typedef uint8_t* value_type;
typedef typename std::conditional<!P::RcuRespCaller,
scoped_rcu_region,
disabled_rcu_region>::type rcu_region;
// public to assist in testing
static const unsigned int NKeysPerNode = P::NKeysPerNode;
static const unsigned int NMinKeysPerNode = P::NKeysPerNode / 2;
private:
typedef std::pair<ssize_t, size_t> key_search_ret;
typedef
btree_version_manip<typename P::VersionType, NKeysPerNode>
VersionManip;
typedef
btree_version_manip<uint64_t, NKeysPerNode>
RawVersionManip;
struct node {
typename P::VersionType hdr_;
#ifdef BTREE_LOCK_OWNERSHIP_CHECKING
std::thread::id lock_owner_;
#endif /* BTREE_LOCK_OWNERSHIP_CHECKING */
/**
* Keys are assumed to be stored in contiguous sorted order, so that all
* the used slots are grouped together. That is, elems in positions
* [0, key_slots_used) are valid, and elems in positions
* [key_slots_used, NKeysPerNode) are empty
*/
key_slice keys_[NKeysPerNode];
node() :
hdr_()
#ifdef BTREE_LOCK_OWNERSHIP_CHECKING
, lock_owner_()
#endif
{}
~node()
{
INVARIANT(!is_locked());
INVARIANT(is_deleting());
}
inline bool
is_leaf_node() const
{
return VersionManip::IsLeafNode(hdr_);
}
inline bool
is_internal_node() const
{
return !is_leaf_node();
}
inline size_t
key_slots_used() const
{
return VersionManip::KeySlotsUsed(hdr_);
}
inline void
set_key_slots_used(size_t n)
{
VersionManip::SetKeySlotsUsed(hdr_, n);
}
inline void
inc_key_slots_used()
{
VersionManip::IncKeySlotsUsed(hdr_);
}
inline void
dec_key_slots_used()
{
VersionManip::DecKeySlotsUsed(hdr_);
}
inline bool
is_locked() const
{
return VersionManip::IsLocked(hdr_);
}
#ifdef BTREE_LOCK_OWNERSHIP_CHECKING
inline bool
is_lock_owner() const
{
return std::this_thread::get_id() == lock_owner_;
}
#else
inline bool
is_lock_owner() const
{
return true;
}
#endif /* BTREE_LOCK_OWNERSHIP_CHECKING */
inline uint64_t
lock()
{
#ifdef ENABLE_EVENT_COUNTERS
static event_avg_counter
evt_avg_btree_leaf_node_lock_acquire_spins(
util::cxx_typename<btree<P>>::value() +
std::string("_avg_btree_leaf_node_lock_acquire_spins"));
static event_avg_counter
evt_avg_btree_internal_node_lock_acquire_spins(
util::cxx_typename<btree<P>>::value() +
std::string("_avg_btree_internal_node_lock_acquire_spins"));
unsigned spins;
const uint64_t ret = VersionManip::LockWithSpinCount(hdr_, spins);
if (is_leaf_node())
evt_avg_btree_leaf_node_lock_acquire_spins.offer(spins);
else
evt_avg_btree_internal_node_lock_acquire_spins.offer(spins);
#else
const uint64_t ret = VersionManip::Lock(hdr_);
#endif
#ifdef BTREE_LOCK_OWNERSHIP_CHECKING
lock_owner_ = std::this_thread::get_id();
AddNodeToLockRegion(this);
INVARIANT(is_lock_owner());
#endif
return ret;
}
inline void
unlock()
{
#ifdef BTREE_LOCK_OWNERSHIP_CHECKING
lock_owner_ = std::thread::id();
INVARIANT(!is_lock_owner());
#endif
VersionManip::Unlock(hdr_);
}
inline bool
is_root() const
{
return VersionManip::IsRoot(hdr_);
}
inline void
set_root()
{
VersionManip::SetRoot(hdr_);
}
inline void
clear_root()
{
VersionManip::ClearRoot(hdr_);
}
inline bool
is_modifying() const
{
return VersionManip::IsModifying(hdr_);
}
inline void
mark_modifying()
{
VersionManip::MarkModifying(hdr_);
}
inline bool
is_deleting() const
{
return VersionManip::IsDeleting(hdr_);
}
inline void
mark_deleting()
{
VersionManip::MarkDeleting(hdr_);
}
inline uint64_t
unstable_version() const
{
return VersionManip::UnstableVersion(hdr_);
}
/**
* spin until we get a version which is not modifying (but can be locked)
*/
inline uint64_t
stable_version() const
{
return VersionManip::StableVersion(hdr_);
}
inline bool
check_version(uint64_t version) const
{
return VersionManip::CheckVersion(hdr_, version);
}
inline std::string
version_info_str() const
{
return VersionManip::VersionInfoStr(hdr_);
}
void base_invariant_unique_keys_check() const;
// [min_key, max_key)
void
base_invariant_checker(const key_slice *min_key,
const key_slice *max_key,
bool is_root) const;
/** manually simulated virtual function (so we don't make node virtual) */
void
invariant_checker(const key_slice *min_key,
const key_slice *max_key,
const node *left_sibling,
const node *right_sibling,
bool is_root) const;
/** another manually simulated virtual function */
inline void prefetch() const;
};
struct leaf_node : public node {
union value_or_node_ptr {
value_type v_;
node *n_;
};
key_slice min_key_; // really is min_key's key slice
value_or_node_ptr values_[NKeysPerNode];
// format is:
// [ slice_length | type | unused ]
// [ 0:4 | 4:5 | 5:8 ]
uint8_t lengths_[NKeysPerNode];
leaf_node *prev_;
leaf_node *next_;
// starts out empty- once set, doesn't get freed until dtor (even if all
// keys w/ suffixes get removed)
imstring *suffixes_;
inline ALWAYS_INLINE varkey
suffix(size_t i) const
{
return suffixes_ ? varkey(suffixes_[i]) : varkey();
}
//static event_counter g_evt_suffixes_array_created;
inline void
alloc_suffixes()
{
INVARIANT(this->is_modifying());
INVARIANT(!suffixes_);
suffixes_ = new imstring[NKeysPerNode];
//++g_evt_suffixes_array_created;
}
inline void
ensure_suffixes()
{
INVARIANT(this->is_modifying());
if (!suffixes_)
alloc_suffixes();
}
leaf_node();
~leaf_node();
static const uint64_t LEN_LEN_MASK = 0xf;
static const uint64_t LEN_TYPE_SHIFT = 4;
static const uint64_t LEN_TYPE_MASK = 0x1 << LEN_TYPE_SHIFT;
inline void
prefetch() const
{
#ifdef BTREE_NODE_PREFETCH
prefetch_object(this);
#endif
}
inline size_t
keyslice_length(size_t n) const
{
INVARIANT(n < NKeysPerNode);
return lengths_[n] & LEN_LEN_MASK;
}
inline void
keyslice_set_length(size_t n, size_t len, bool layer)
{
INVARIANT(n < NKeysPerNode);
INVARIANT(this->is_modifying());
INVARIANT(len <= 9);
INVARIANT(!layer || len == 9);
lengths_[n] = (len | (layer ? LEN_TYPE_MASK : 0));
}
inline bool
value_is_layer(size_t n) const
{
INVARIANT(n < NKeysPerNode);
return lengths_[n] & LEN_TYPE_MASK;
}
inline void
value_set_layer(size_t n)
{
INVARIANT(n < NKeysPerNode);
INVARIANT(this->is_modifying());
INVARIANT(keyslice_length(n) == 9);
INVARIANT(!value_is_layer(n));
lengths_[n] |= LEN_TYPE_MASK;
}
/**
* keys[key_search(k).first] == k if key_search(k).first != -1
* key does not exist otherwise. considers key length also
*/
inline key_search_ret
key_search(key_slice k, size_t len) const
{
size_t n = this->key_slots_used();
ssize_t lower = 0;
ssize_t upper = n;
while (lower < upper) {
ssize_t i = (lower + upper) / 2;
key_slice k0 = this->keys_[i];
size_t len0 = this->keyslice_length(i);
if (k0 < k || (k0 == k && len0 < len))
lower = i + 1;
else if (k0 == k && len0 == len)
return key_search_ret(i, n);
else
upper = i;
}
return key_search_ret(-1, n);
}
/**
* tightest lower bound key, -1 if no such key exists. operates only
* on key slices (internal nodes have unique key slices)
*/
inline key_search_ret
key_lower_bound_search(key_slice k, size_t len) const
{
ssize_t ret = -1;
size_t n = this->key_slots_used();
ssize_t lower = 0;
ssize_t upper = n;
while (lower < upper) {
ssize_t i = (lower + upper) / 2;
key_slice k0 = this->keys_[i];
size_t len0 = this->keyslice_length(i);
if (k0 < k || (k0 == k && len0 < len)) {
ret = i;
lower = i + 1;
} else if (k0 == k && len0 == len) {
return key_search_ret(i, n);
} else {
upper = i;
}
}
return key_search_ret(ret, n);
}
void
invariant_checker_impl(const key_slice *min_key,
const key_slice *max_key,
const node *left_sibling,
const node *right_sibling,
bool is_root) const;
static inline leaf_node*
alloc()
{
void * const p = rcu::s_instance.alloc(LeafNodeAllocSize);
INVARIANT(p);
return new (p) leaf_node;
}
static void
deleter(void *p)
{
leaf_node *n = (leaf_node *) p;
INVARIANT(n->is_deleting());
INVARIANT(!n->is_locked());
n->~leaf_node();
rcu::s_instance.dealloc(p, LeafNodeAllocSize);
}
static inline void
release(leaf_node *n)
{
if (unlikely(!n))
return;
n->mark_deleting();
rcu::s_instance.free_with_fn(n, deleter);
}
};
struct internal_node : public node {
/**
* child at position child_idx is responsible for keys
* [keys[child_idx - 1], keys[child_idx])
*
* in the case where child_idx == 0 or child_idx == this->key_slots_used(), then
* the responsiblity value of the min/max key, respectively, is determined
* by the parent
*/
node *children_[NKeysPerNode + 1];
internal_node();
~internal_node();
inline void
prefetch() const
{
#ifdef BTREE_NODE_PREFETCH
prefetch_object(this);
#endif
}
/**
* keys[key_search(k).first] == k if key_search(k).first != -1
* key does not exist otherwise. operates ony on key slices
* (internal nodes have unique key slices)
*/
inline key_search_ret
key_search(key_slice k) const
{
size_t n = this->key_slots_used();
ssize_t lower = 0;
ssize_t upper = n;
while (lower < upper) {
ssize_t i = (lower + upper) / 2;
key_slice k0 = this->keys_[i];
if (k0 == k)
return key_search_ret(i, n);
else if (k0 > k)
upper = i;
else
lower = i + 1;
}
return key_search_ret(-1, n);
}
/**
* tightest lower bound key, -1 if no such key exists. operates only
* on key slices (internal nodes have unique key slices)
*/
inline key_search_ret
key_lower_bound_search(key_slice k) const
{
ssize_t ret = -1;
size_t n = this->key_slots_used();
ssize_t lower = 0;
ssize_t upper = n;
while (lower < upper) {
ssize_t i = (lower + upper) / 2;
key_slice k0 = this->keys_[i];
if (k0 == k)
return key_search_ret(i, n);
else if (k0 > k)
upper = i;
else {
ret = i;
lower = i + 1;
}