Git Product home page Git Product logo

primes_parallel's Introduction

Hw.Primes

Module with functions to sum all prime numbers before a limit. Contains sequential and parallel versions. Functions:

  • Hw.Primes.sum_primes/1: Returns the sum of all primes before the limit sequentially. Takes the limit as an argument.
  • Hw.Primes.sum_primes_parallel/2: Takes 2 arguments, n and t. Sums all primes before n in t threads.

Time Complexity

The algorithm used to sum prime numbers takes O(n^2) time, since it has to iterate through every number and for each one, to check if it's a prime number, it has to divide n by every number from 2 to โˆšn.

Speed Comparison

Speed measurements (in seconds) for both versions of the algorithm with n = 5,000,000 and t = 20 (for the parallel version) are listed in the following table:

Method/Run 1 2 3 4 5 Avg
Sequential 24.64 24.54 24.63 24.65 24.68 24.63
Parallel 4.55 4.23 4.3 4.13 4.69 4.32

On average, the parallel version is 20.31 seconds faster than the sequential version, a 5.70 speed up.

primes_parallel's People

Contributors

sofferjacob avatar

Watchers

James Cloos avatar  avatar

Recommend Projects

  • React photo React

    A declarative, efficient, and flexible JavaScript library for building user interfaces.

  • Vue.js photo Vue.js

    ๐Ÿ–– Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.

  • Typescript photo Typescript

    TypeScript is a superset of JavaScript that compiles to clean JavaScript output.

  • TensorFlow photo TensorFlow

    An Open Source Machine Learning Framework for Everyone

  • Django photo Django

    The Web framework for perfectionists with deadlines.

  • D3 photo D3

    Bring data to life with SVG, Canvas and HTML. ๐Ÿ“Š๐Ÿ“ˆ๐ŸŽ‰

Recommend Topics

  • javascript

    JavaScript (JS) is a lightweight interpreted programming language with first-class functions.

  • web

    Some thing interesting about web. New door for the world.

  • server

    A server is a program made to process requests and deliver data to clients.

  • Machine learning

    Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.

  • Game

    Some thing interesting about game, make everyone happy.

Recommend Org

  • Facebook photo Facebook

    We are working to build community through open source technology. NB: members must have two-factor auth.

  • Microsoft photo Microsoft

    Open source projects and samples from Microsoft.

  • Google photo Google

    Google โค๏ธ Open Source for everyone.

  • D3 photo D3

    Data-Driven Documents codes.