cpmoptimize 0.4

A decorator for automatic algorithms optimization via fast matrix exponentiation

A decorator for automatic algorithms optimization via fast matrix exponentiation

Installation

You can install the stable version of the library using pip:

sudo pip install cpmoptimize

Or install a previously downloaded and extracted package:

sudo python setup.py install

Basic Example

Suppose we want to calculate the ten millionth Fibonacci number using a program in Python. The function with a trivial algorithm is rather slow:

def fib(n):
    a = 0
    b = 1
    for i in xrange(n):
        a, b = b, a + b
    return a

result = fib(10 ** 7)

# Time: 25 min 31 sec

But if we apply the optimizing decorator, the function will give you the answer much faster:

from cpmoptimize import cpmoptimize

@cpmoptimize()
def fib(n):
    a = 0
    b = 1
    for i in xrange(n):
        a, b = b, a + b
    return a

result = fib(10 ** 7)

# Time: 18 sec (85x faster)

Description

Actually, the decorator disassembles bytecode of a function using pretty byteplay library, analyzes the code, and tries to reduce time complexity of the algorithm used in it using fast matrix exponentiation.

The decorator uses a method implemented by Alexander Skidanov in his simple optimizing interpreter.

A detailed description of the library (including an idea explanation and an interface reference) is available in English and Russian.

Author

Copyright (c) 2014, 2015 Alexander Borzunov