【发布时间】:2013-04-25 20:06:26
【问题描述】:
我有一个程序可以计算大量数据并将其写入文件。我的数据只是一堆 0-16 的数字(17 个不同的值),我计算了每个数字在数据中出现的频率。我需要使用尽可能少的磁盘空间和尽可能少的 RAM,所以我在纯 python 中编写了一个小的 Huffman 编码/解码模块,它一次在内存中用尽可能少的编码符号写入/读取压缩数据。是否有 python 附带的模块可以做类似的事情?下面是代码以及如何使用它的一些示例(警告代码有点长得体面的评论):
def makeTree(data):
"""data is a list of tuples, whos first entry is a priority/frequency
number, and whos second entry is tuple containing the data to
be encoded. The tree uses an internal tag system to tell where the
branch ends. (End nodes are terminated with a False)"""
def tag(data):
taggedData = []
for priority, datum in data:
#all of the initial data is an end branch
taggedData += [(priority, (datum, False))]
return taggedData
#get the tagged data into decending order of priority/frequency
tree = sorted(tag(data), reverse=True)
while len(tree)>1:
#get the two lowest priority branches
bottomR, bottomL = tree.pop(), tree.pop()
#and stick them together into a new branch with combined priority
new_elem = bottomR[0]+bottomL[0], ((bottomL, bottomR), True)
#then add them back to the list of branches and sort
tree += [new_elem]
tree.sort(reverse=True)
return tree[0]
def makeTable(tree, code=""):
"""Takes a tree such as generated by makeTree and returns a dictionary
of code:value pairs."""
#if this is an end branch, return code:value pair
if tree[1][1]==False:
return {code:tree[1][0]}
#otherwise find the tables for the left and right branches
#add them to the main table, and return
table = {}
table.update(makeTable(tree[1][0][0], code+'0')) #left
table.update(makeTable(tree[1][0][1], code+'1')) #right
return table
class Decoder:
"""this class creates a Decoder object which is used to decode a compressed
file using the appropriate decoding table (duh). It used to be a function,
but it was buggy and would also be ugly if I left it a function. (this
class was written After the Encdoer class.)
"""
def __init__(self, fname, table):
self.file = open(fname)
self.table = table
self.byte = None
self.bit = 7
self.newByte = True
def decode(self, size=1):
"""Decodes and yields size number of symbols from the file.
Size defaults to 1"""
#a counter for how many symbols were read
read = 0
code = ''
while read<size:
if self.newByte:
self.byte = ord(self.file.read(1))
for n in xrange(self.bit, -1, -1):
code += str((self.byte & 1<<n) >> n)
self.byte &= (1<<n)-1
if code in self.table:
yield self.table[code]
read += 1
code = ''
if read==size:
self.bit = n-1
self.newByte = False
raise StopIteration
self.bit = 7
self.newByte = True
def close(self):
self.file.close()
class Encoder:
"""This class creates an encoder object, which is used to write encoded data
to a file. It was initially going to be a function, but I couldn't
accomplish that without code getting really ugly. :p """
def __init__(self, fname, table):
self.file = open(fname, 'w')
self.table = table
self.code = ''
def encode(self, datum):
"""Attempts to write encoded datum to file. If their isn't enough
code to write a whole number amount of bytes, then the code is saved up
until there is."""
self.code += self.table[datum]
if len(self.code)%8==0:
self.__write_code_chunk()
return
def end_encode(self):
"""Writes any remaining code to the file, appending the code with
trailing zeros to fit within a byte, then closes the file."""
#if the length of the code remaining isn't a multiple of 8 bits
if len(self.code)%8:
#then add zeros to the end so that it is
self.code += "0"*(8 - len(self.code)%8)
self.__write_code_chunk()
self.file.close()
return
def __write_code_chunk(self):
bytes = len(self.code)/8
#for every byte (or every 8 bits)...
for _ in xrange(bytes):
#turn those bits into an number using int with base 2,
#then turn the number into an ascii character,
#and finally write the data to the file.
self.file.write(chr(int(self.code[:8], 2)))
#then get rid of the 8 bits just read
self.code = self.code[8:]
#make sure there is no code left over
assert self.code==''
return
if __name__=="__main__":
import random
mandelbrotData = [
(0.10776733333333334, 0),
(0.24859, 1),
(0.12407666666666667, 2),
(0.07718866666666667, 3),
(0.04594733333333333, 4),
(0.03356, 5),
(0.023286666666666664, 6),
(0.018338, 7),
(0.014030666666666667, 8),
(0.011918, 9),
(0.009500666666666668, 10),
(0.008396666666666667, 11),
(0.006936, 12),
(0.006365999999999999, 13),
(0.005466, 14),
(0.0048920000000000005, 15),
(0.2537393333333333, 16)]
decode_table = makeTable(makeTree(mandelbrotData))
encode_table = {val:key for key, val in decode_table.iteritems()}
approx_data = sum([[val]*int(round(freq*10**3/2)) for freq, val in mandelbrotData], [])
random.shuffle(approx_data)
testname = 'hufftest'
encoder = Encoder(testname, encode_table)
for val in approx_data:
encoder.encode(val)
encoder.end_encode()
decoder = Decoder(testname, decode_table)
decoded = list(decoder.decode(len(approx_data)/2))
decoded += list(decoder.decode(len(approx_data)/2))
print approx_data == decoded
有没有一个模块可以更快地完成类似的事情?如果没有,有什么方法可以更改我的代码以使其更快?
【问题讨论】:
-
对于真实数据,必须计算每个值的出现频率才能进行霍夫曼编码相对来说会非常耗时。如果您可以预先计算,然后只使用数据的统计模型,它将大大加快这部分过程的速度。或者,您可以根据数据的性质做一些非常简单的事情。如果许多值连续重复,您可能只需对它们进行游程编码,这将非常快,并且可能会节省大量内存。换句话说,您可能必须在一个目标与另一个目标之间进行权衡。
-
天哪。你可能刚刚启发了我!我的数据中有大量重复的连续值(我认为前 300,000 个值都是 17:p!)
-
全部 17 个?我以为你说的值范围是 0-16。
标签: python compression huffman-code