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Functional Python Programming

Functional Python Programming

By : Steven F. Lott
4 (9)
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Functional Python Programming

Functional Python Programming

4 (9)
By: Steven F. Lott

Overview of this book

This book is for developers who want to use Python to write programs that lean heavily on functional programming design patterns. You should be comfortable with Python programming, but no knowledge of functional programming paradigms is needed.
Table of Contents (18 chapters)
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17
Index

Specializing memoization

The essential idea of memoization is so simple that it can be captured by the @lru_cache decorator. This decorator can be applied to any function to implement memoization. In some cases, we might be able to improve on the generic idea with something more specialized. There are a large number of potentially optimizable multivalued functions. We'll pick one here and look at another in a more complex case study.

The binomial, Specializing memoization, shows the number of ways n different things can be arranged in groups of size m. The value is as follows:

Specializing memoization

Clearly, we should cache the factorial calculations rather than redo all those multiplications. However, we may also benefit from caching the overall binomial calculation, too.

We'll create a Callable object that contains multiple internal caches. Here's a helper function that we'll need:

from functools import reduce
from operator import mul
prod = lambda x: reduce(mul, x)

The prod() function computes the product of an iterable...

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