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"""
borghash - hashtable implementations in cython.
HashTable: low-level ht mapping fully random bytes keys to bytes values.
key and value length can be chosen, but is fixed afterwards.
the keys and values are stored in arrays separate from the hashtable.
the hashtable only stores the 32bit indexes into the key/value arrays.
HashTableNT: wrapper around HashTable, providing namedtuple values and serialization.
"""
from __future__ import annotations
from typing import BinaryIO, Iterator, Any
from libc.stdlib cimport malloc, free, realloc
from libc.string cimport memcpy, memset, memcmp
from libc.stdint cimport uint8_t, uint32_t
from collections import namedtuple
from collections.abc import Mapping
import json
import struct
MAGIC = b"BORGHASH"
assert len(MAGIC) == 8
VERSION = 1 # version of the on-disk (serialized) format produced by .write().
HEADER_FMT = "<8sII" # magic, version, meta length
MIN_CAPACITY = 1000 # never shrink the hash table below this capacity
cdef uint32_t FREE_BUCKET = 0xFFFFFFFF
cdef uint32_t TOMBSTONE_BUCKET = 0xFFFFFFFE
# ...
cdef uint32_t RESERVED = 0xFFFFFF00 # all >= this is reserved
_NoDefault = object()
def _fill(this: Any, other: Any) -> None:
"""fill this mapping from other"""
if other is None:
return
if isinstance(other, Mapping):
for key in other:
this[key] = other[key]
elif hasattr(other, "keys"):
for key in other.keys():
this[key] = other[key]
else:
for key, value in other:
this[key] = value
cdef class HashTable:
def __init__(self, items=None, *,
key_size: int = 0, value_size: int = 0, capacity: int = MIN_CAPACITY,
max_load_factor: float = 0.5, min_load_factor: float = 0.10,
shrink_factor: float = 0.4, grow_factor: float = 2.0,
kv_grow_factor: float = 1.3) -> None:
# the load of the ht (.table) shall be between 0.25 and 0.5, so it is fast and has few collisions.
# it is cheap to have a low hash table load, because .table only stores uint32_t indexes into the
# .keys and .values array.
# the keys/values arrays have bigger elements and are not hash tables, thus collisions and load
# factor are no concern there. the kv_grow_factor can be relatively small.
if not key_size:
raise ValueError("key_size must be specified and must be > 0.")
if not value_size:
raise ValueError("value_size must be specified and must be > 0.")
self.ksize = key_size
self.vsize = value_size
# vvv hash table vvv
self.max_load_factor = max_load_factor
self.min_load_factor = min_load_factor
self.shrink_factor = shrink_factor
self.grow_factor = grow_factor
self.initial_capacity = capacity
self.capacity = 0
self.used = 0
self.tombstones = 0
self.table = NULL
self._resize_table(self.initial_capacity)
# ^^^ hash table ^^^
# vvv kv arrays vvv
self.kv_grow_factor = kv_grow_factor
self.kv_used = 0
self.keys = NULL
self.values = NULL
self._resize_kv(int(self.initial_capacity * self.max_load_factor))
# ^^^ kv arrays ^^^
# vvv stats vvv
self.stats_get = 0
self.stats_set = 0
self.stats_del = 0
self.stats_iter = 0 # .items() calls
self.stats_lookup = 0 # _lookup_index calls
self.stats_linear = 0 # how many steps the linear search inside _lookup_index needed
self.stats_resize_table = 0
self.stats_resize_kv = 0
# ^^^ stats ^^^
_fill(self, items)
def __del__(self) -> None:
free(self.table)
free(self.keys)
free(self.values)
def clear(self) -> None:
"""empty HashTable, start from scratch"""
self.capacity = 0
self.used = 0
self._resize_table(self.initial_capacity)
self.kv_used = 0
self._resize_kv(int(self.initial_capacity * self.max_load_factor))
def __len__(self) -> int:
return self.used
cdef int _get_index(self, uint8_t* key):
"""key must be perfectly random distributed bytes, so we don't need a hash function here."""
cdef uint32_t key32 = (key[0] << 24) | (key[1] << 16) | (key[2] << 8) | key[3]
return key32 % self.capacity
cdef int _lookup_index(self, uint8_t* key_ptr, int* index_ptr):
"""
search for a specific key.
if found, return 1 and set *index_ptr to the index of the bucket in self.table.
if not found, return 0 and set *index_ptr to the index of a free bucket in self.table.
"""
cdef int index = self._get_index(key_ptr)
cdef uint32_t kv_index
self.stats_lookup += 1
while (kv_index := self.table[index]) != FREE_BUCKET:
self.stats_linear += 1
if kv_index != TOMBSTONE_BUCKET and memcmp(self.keys + kv_index * self.ksize, key_ptr, self.ksize) == 0:
if index_ptr:
index_ptr[0] = index
return 1 # found
index = (index + 1) % self.capacity
if index_ptr:
index_ptr[0] = index
return 0 # not found
def __setitem__(self, key: bytes, value: bytes) -> None:
if len(key) != self.ksize or len(value) != self.vsize:
raise ValueError("Key or value size does not match the defined sizes")
cdef uint8_t* key_ptr = <uint8_t*> key
cdef uint8_t* value_ptr = <uint8_t*> value
cdef uint32_t kv_index
cdef int index
self.stats_set += 1
if self._lookup_index(key_ptr, &index):
kv_index = self.table[index]
memcpy(self.values + kv_index * self.vsize, value_ptr, self.vsize)
return
if self.kv_used >= self.kv_capacity:
self._resize_kv(int(self.kv_capacity * self.kv_grow_factor))
if self.kv_used >= self.kv_capacity:
# Should never happen. See "RESERVED" constant - we allow almost 4Gi kv entries.
# For a typical 256bit key and a small 32bit value that would already consume 176GiB+
# memory (plus spikes to even more when hashtable or kv arrays get resized).
raise RuntimeError("KV array is full")
kv_index = self.kv_used
memcpy(self.keys + kv_index * self.ksize, key_ptr, self.ksize)
memcpy(self.values + kv_index * self.vsize, value_ptr, self.vsize)
self.kv_used += 1
self.used += 1
self.table[index] = kv_index # _lookup_index has set index to a free bucket
if self.used + self.tombstones > self.capacity * self.max_load_factor:
self._resize_table(int(self.capacity * self.grow_factor))
def __contains__(self, key: bytes) -> bool:
if len(key) != self.ksize:
raise ValueError("Key size does not match the defined size")
return bool(self._lookup_index(<uint8_t*> key, NULL))
def __getitem__(self, key: bytes) -> bytes:
if len(key) != self.ksize:
raise ValueError("Key size does not match the defined size")
cdef uint32_t kv_index
cdef int index
self.stats_get += 1
if self._lookup_index(<uint8_t*> key, &index):
kv_index = self.table[index]
return self.values[kv_index * self.vsize:(kv_index + 1) * self.vsize]
else:
raise KeyError("Key not found")
def __delitem__(self, key: bytes) -> None:
if len(key) != self.ksize:
raise ValueError("Key size does not match the defined size")
cdef uint8_t* key_ptr = <uint8_t*> key
cdef int index
cdef uint32_t kv_index
self.stats_del += 1
if self._lookup_index(key_ptr, &index):
kv_index = self.table[index]
memset(self.keys + kv_index * self.ksize, 0, self.ksize)
memset(self.values + kv_index * self.vsize, 0, self.vsize)
self.table[index] = TOMBSTONE_BUCKET
self.used -= 1
self.tombstones += 1
# Resize down if necessary
if self.used < self.capacity * self.min_load_factor:
new_capacity = max(int(self.capacity * self.shrink_factor), MIN_CAPACITY)
self._resize_table(new_capacity)
else:
raise KeyError("Key not found")
def setdefault(self, key: bytes, value: bytes) -> bytes:
if not key in self:
self[key] = value
return self[key]
def get(self, key: bytes, default: Any = None) -> bytes|Any:
try:
return self[key]
except KeyError:
return default
def pop(self, key: bytes, default: Any = _NoDefault) -> bytes|Any:
try:
value = self[key]
except KeyError:
if default is _NoDefault:
raise
return default
else:
del self[key]
return value
def items(self) -> Iterator[tuple[bytes, bytes]]:
cdef int i
cdef uint32_t kv_index
self.stats_iter += 1
for i in range(self.capacity):
kv_index = self.table[i]
if kv_index not in (FREE_BUCKET, TOMBSTONE_BUCKET):
key = self.keys[kv_index * self.ksize:(kv_index + 1) * self.ksize]
value = self.values[kv_index * self.vsize:(kv_index + 1) * self.vsize]
yield key, value
cdef void _resize_table(self, int new_capacity):
cdef int i, index
cdef uint32_t kv_index
cdef uint32_t* new_table = <uint32_t*> malloc(new_capacity * sizeof(uint32_t))
for i in range(new_capacity):
new_table[i] = FREE_BUCKET
self.stats_resize_table += 1
current_capacity = self.capacity
self.capacity = new_capacity
for i in range(current_capacity):
kv_index = self.table[i]
if kv_index not in (FREE_BUCKET, TOMBSTONE_BUCKET):
index = self._get_index(self.keys + kv_index * self.ksize)
while new_table[index] != FREE_BUCKET:
index = (index + 1) % new_capacity
new_table[index] = kv_index
free(self.table)
self.table = new_table
self.tombstones = 0
cdef void _resize_kv(self, int new_capacity):
# We must never use kv indexes >= RESERVED, thus we'll never need more capacity either.
cdef int capacity = min(new_capacity, RESERVED - 1)
self.stats_resize_kv += 1
self.keys = <uint8_t*> realloc(self.keys, capacity * self.ksize * sizeof(uint8_t))
self.values = <uint8_t*> realloc(self.values, capacity * self.vsize * sizeof(uint8_t))
self.kv_capacity = capacity
def k_to_idx(self, key: bytes) -> int:
"""
return the key's index in the keys array (index is stable while in memory).
this can be used to "abbreviate" a known key (e.g. 256bit key -> 32bit index).
"""
if len(key) != self.ksize:
raise ValueError("Key size does not match the defined size")
cdef int index
if self._lookup_index(<uint8_t*> key, &index):
return self.table[index] # == uint32_t kv_index
else:
raise KeyError("Key not found")
def idx_to_k(self, idx: int) -> bytes:
"""
for a given index, return the key stored at that index in the keys array.
this is the reverse of k_to_idx (e.g. 32bit index -> 256bit key).
"""
cdef uint32_t kv_index = <uint32_t> idx
return self.keys[kv_index * self.ksize:(kv_index + 1) * self.ksize]
def kv_to_idx(self, key: bytes, value: bytes) -> int:
"""
return the key's/value's index in the keys/values array (index is stable while in memory).
this can be used to "abbreviate" a known key/value pair. (e.g. 256bit key + 32bit value -> 32bit index).
"""
if len(key) != self.ksize:
raise ValueError("Key size does not match the defined size")
if len(value) != self.vsize:
raise ValueError("Value size does not match the defined size")
cdef int index
cdef uint32_t kv_index
if self._lookup_index(<uint8_t*> key, &index):
kv_index = self.table[index]
value_found = self.values[kv_index * self.vsize:(kv_index + 1) * self.vsize]
if value == value_found:
return kv_index
raise KeyError("Key/Value not found")
def idx_to_kv(self, idx: int) -> tuple[bytes, bytes]:
"""
for a given index, return the key/value stored at that index in the keys/values array.
this is the reverse of kv_to_idx (e.g. 32bit index -> 256bit key + 32bit value).
"""
cdef uint32_t kv_index = <uint32_t> idx
key = self.keys[kv_index * self.ksize:(kv_index + 1) * self.ksize]
value = self.values[kv_index * self.vsize:(kv_index + 1) * self.vsize]
return key, value
@property
def stats(self) -> dict[str, int]:
return {
"get": self.stats_get,
"set": self.stats_set,
"del": self.stats_del,
"iter": self.stats_iter,
"lookup": self.stats_lookup,
"linear": self.stats_linear,
"resize_table": self.stats_resize_table,
"resize_kv": self.stats_resize_kv,
}
cdef class HashTableNT:
def __init__(self, items=None, *,
key_size: int = 0, value_format: str = "", value_type: Any = None,
capacity: int = MIN_CAPACITY) -> None:
if not key_size:
raise ValueError("key_size must be specified and must be > 0.")
if not value_format:
raise ValueError("value_format must be specified and must be non-empty.")
if value_type is None:
raise ValueError("value_type must be specified (a namedtuple type corresponding to value_format).")
self.key_size = key_size
self.value_struct = struct.Struct(value_format)
self.value_size = self.value_struct.size
self.value_type = value_type
self.inner = HashTable(key_size=self.key_size, value_size=self.value_size, capacity=capacity)
_fill(self, items)
def clear(self) -> None:
self.inner.clear()
def _check_key(self, key: bytes) -> None:
if not isinstance(key, bytes):
raise TypeError(f"Expected an instance of bytes, got {type(key)}")
if len(key) != self.key_size:
raise ValueError(f"Key must be {self.key_size} bytes long")
def _to_binary_value(self, value: Any) -> bytes:
if not isinstance(value, self.value_type):
if isinstance(value, tuple):
value = self.value_type(*value)
else:
raise TypeError(f"Expected an instance of {self.value_type}, got {type(value)}")
return self.value_struct.pack(*value)
def _to_namedtuple_value(self, binary_value: bytes) -> Any:
unpacked_data = self.value_struct.unpack(binary_value)
return self.value_type(*unpacked_data)
def _set_raw(self, key: bytes, value: bytes) -> None:
self.inner[key] = value
def _get_raw(self, key: bytes) -> bytes:
return self.inner[key]
def __setitem__(self, key: bytes, value: Any) -> None:
self._check_key(key)
self.inner[key] = self._to_binary_value(value)
def __getitem__(self, key: bytes) -> Any:
self._check_key(key)
binary_value = self.inner[key]
return self._to_namedtuple_value(binary_value)
def __delitem__(self, key: bytes) -> None:
self._check_key(key)
del self.inner[key]
def __contains__(self, key: bytes) -> bool:
self._check_key(key)
return key in self.inner
def items(self) -> Iterator[tuple[bytes, Any]]:
for key, binary_value in self.inner.items():
yield (key, self._to_namedtuple_value(binary_value))
def __len__(self) -> int:
return len(self.inner)
def get(self, key: bytes, default: Any = None) -> Any:
self._check_key(key)
try:
binary_value = self.inner[key]
except KeyError:
return default
else:
return self._to_namedtuple_value(binary_value)
def setdefault(self, key: bytes, default: Any) -> Any:
self._check_key(key)
binary_default = self._to_binary_value(default)
binary_value = self.inner.setdefault(key, binary_default)
return self._to_namedtuple_value(binary_value)
def pop(self, key: bytes, default: Any = _NoDefault) -> Any:
self._check_key(key)
try:
binary_value = self.inner.pop(key)
except KeyError:
if default is _NoDefault:
raise
return default
else:
return self._to_namedtuple_value(binary_value)
def k_to_idx(self, key: bytes) -> int:
return self.inner.k_to_idx(key)
def idx_to_k(self, idx: int) -> bytes:
return self.inner.idx_to_k(idx)
def kv_to_idx(self, key: bytes, value: Any) -> int:
binary_value = self._to_binary_value(value)
return self.inner.kv_to_idx(key, binary_value)
def idx_to_kv(self, idx: int) -> tuple[bytes, Any]:
key, binary_value = self.inner.idx_to_kv(idx)
return key, self._to_namedtuple_value(binary_value)
@property
def stats(self) -> dict[str, int]:
return self.inner.stats
def write(self, file: BinaryIO|str|bytes):
if isinstance(file, (str, bytes)):
with open(file, 'wb') as fd:
self._write_fd(fd)
else:
self._write_fd(file)
def _write_fd(self, fd: BinaryIO):
meta = {
'key_size': self.key_size,
'value_size': self.value_size,
'value_format': self.value_struct.format,
'value_type_name': self.value_type.__name__,
'value_type_fields': self.value_type._fields,
'capacity': self.inner.capacity,
'used': self.inner.used, # count of keys / values
}
meta_bytes = json.dumps(meta).encode("utf-8")
meta_size = len(meta_bytes)
header_bytes = struct.pack(HEADER_FMT, MAGIC, VERSION, meta_size)
fd.write(header_bytes)
fd.write(meta_bytes)
count = 0
for key, value in self.inner.items():
fd.write(key)
fd.write(value)
count += 1
assert count == self.inner.used
@classmethod
def read(cls, file: BinaryIO|str|bytes):
if isinstance(file, (str, bytes)):
with open(file, 'rb') as fd:
return cls._read_fd(fd)
else:
return cls._read_fd(file)
@classmethod
def _read_fd(cls, fd: BinaryIO):
header_size = struct.calcsize(HEADER_FMT)
header_bytes = fd.read(header_size)
if len(header_bytes) < header_size:
raise ValueError(f"Invalid file, file is too short.")
magic, version, meta_size = struct.unpack(HEADER_FMT, header_bytes)
if magic != MAGIC:
raise ValueError(f"Invalid file, magic {MAGIC.decode()} not found.")
if version != VERSION:
raise ValueError(f"Unsupported file version {version}.")
meta_bytes = fd.read(meta_size)
if len(meta_bytes) < meta_size:
raise ValueError(f"Invalid file, file is too short.")
meta = json.loads(meta_bytes.decode("utf-8"))
value_type = namedtuple(meta['value_type_name'], meta['value_type_fields'])
ht = cls(key_size=meta['key_size'], value_format=meta['value_format'], value_type=value_type, capacity=meta['capacity'])
count = 0
ksize, vsize = meta['key_size'], meta['value_size']
for i in range(meta['used']):
key = fd.read(ksize)
value = fd.read(vsize)
ht._set_raw(key, value)
return ht
def size(self) -> int:
"""
do a rough worst-case estimate of the on-disk size when using .write().
the serialized size of the metadata is a bit hard to predict, but we cover that with one_time_overheads.
"""
one_time_overheads = 4096 # very rough
N = self.inner.used
return int(N * (self.key_size + self.value_size) + one_time_overheads)
def demo():
print("BorgHash demo")
print("=============")
print("Code:")
code = """
from tempfile import NamedTemporaryFile
from time import time
count = 50000
value_type = namedtuple("Chunk", ["refcount", "size"])
# 256bit (32Byte) key, 2x 32bit (4Byte) values
ht = HashTableNT(key_size=32, value_format="<II", value_type=value_type)
t0 = time()
for i in range(count):
# make up a 256bit key from i, first 32bits need to be well distributed.
key = f"{i:4x}{' '*28}".encode()
value = value_type(refcount=i, size=i * 2)
ht[key] = value
assert len(ht) == count
t1 = time()
found = 0
for key, value in ht.items():
i = int(key.decode(), 16)
expected_value = value_type(refcount=i, size=i * 2)
assert ht[key] == expected_value
found += 1
assert found == count
t2 = time()
ht_written = ht
with NamedTemporaryFile(prefix="borghash-demo-ht-read", suffix=".tmp", delete=False) as tmpfile:
ht_written.write(tmpfile)
filename = tmpfile.name
assert len(ht_written) == count, f"{len(ht_written)} != {count}"
t3 = time()
ht_read = HashTableNT.read(filename)
assert len(ht_read) == count, f"{len(ht_read)} != {count}"
t4 = time()
for i in range(count):
# make up a 256bit key from i, first 32bits need to be well distributed.
key = f"{i:4x}{' '*28}".encode()
expected_value = value_type(refcount=i, size=i * 2)
assert ht_read.pop(key) == expected_value
assert len(ht_read) == 0
t5 = time()
print("Result:")
print(f"HashTableNT in-memory ops (count={count}): insert: {t1-t0:.3f}s, lookup: {t2-t1:.3f}s, pop: {t5-t4:.3f}s.")
print(f"HashTableNT serialization (count={count}): write: {t3-t2:.3f}s, read: {t4-t3:.3f}s.")
"""
print(code)
exec(code)