OpenGenus/cosmos

Add Gregory Leibniz Series approximation of Pi

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#6,026 opened on Oct 23, 2020

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Description

This is a(n):

  • New algorithm
  • Update to an existing algorithm
  • Error
  • Proposal to the Repository

Details:

Add the Gregpry Leibniz Series approximation of Pi. This is the powerseries of arctan specialized to x=1 and approximates the numerical value of pi when given enough iterations.

Contributor guide

Research direction
Implement the Gregory Leibniz series: pi/4 = sum {k=0}^{∞} ( 1)^k/(2k+1). Write a function that takes an iteration count and returns the approximation. Test with known values.
Tech stack
ccpp
Domain
backend
Issue type
Feature
DifficultyEstimated implementation difficulty for a new contributor, from 1 for very small changes to 5 for expert-level work.
2
Estimated timeA rough time range for an experienced contributor to investigate, implement, test, and prepare a pull request.
1-3 hours
Activity statusHow available the issue appears right now: fresh, active, stale, blocked, or waiting on maintainer input.
Active
ClarityHow clearly the issue explains the expected change, acceptance criteria, and next step.
Clear
Prerequisites
C++Mathematics
Newbie friendlinessA 1-100 score estimating how approachable this issue is for first-time contributors.
80