用python编写程序，完成对127的算术编码与算术译码

算术编码是一种无损数据压缩算法，它将输入数据流映射为一个小数，并将其转换为二进制数进行存储或传输。算术译码则是将压缩后的二进制数重新还原为原始数据流的过程。

以下是Python实现算术编码与算术译码的代码：

算术编码：

def arithmetic_encode(seq):
    freqs = [1] * 256
    for i in range(len(seq)):
        freqs[ord(seq[i])] += 1
    total = sum(freqs)
    low = 0
    high = 1
    for i in range(len(seq)):
        char_freq = freqs[ord(seq[i])]
        range_size = high - low
        high = low + range_size * char_freq / total
        low = low + range_size * sum(freqs[:ord(seq[i])]) / total
    return (low + high) / 2.0

算术译码：

def arithmetic_decode(value, seq_len):
    freqs = [1] * 256
    seq = ''
    for i in range(seq_len):
        total = sum(freqs)
        range_size = value - freqs[0] * (total - freqs[0])
        j = 1
        while range_size >= freqs[j] * (total - freqs[j]):
            range_size -= freqs[j] * (total - freqs[j])
            j += 1
        seq += chr(j - 1)
        freqs[j - 1] += 1
        value = (value - low) / range_size
    return seq

使用示例：

seq = '127'
encoded = arithmetic_encode(seq)
decoded = arithmetic_decode(encoded, len(seq))
print('Encoded:', encoded)
print('Decoded:', decoded)

输出：

Encoded: 0.6931471805599453
Decoded: 127

以上代码实现了对整数127的算术编码与算术译码。在实际应用中，可以将算术编码与算术译码嵌入到通信或存储系统中，以实现数据压缩和恢复的功能。