estimatePI is a monte carlo simulation which takes random samples to obtain a approximation of pi.
Assume a circle of radius R is inscribed inside a square with side length 2R, then the area of the circle will be pi*R^2 and the area of the square will be (2R)^2. So the ratio of the area of the circle to the area of the square will be pi/4.
This means that, if you pick N points at random inside the square, approximately N*pi/4 of those points should fall inside the circle.
This program picks points at random inside the square. It then checks to see if the point is inside the circle (it knows it's inside the circle if x^2 + y^2 < R^2, where x and y are the coordinates of the point and R is the radius of the circle). The program keeps track of how many points it's picked so far (N) and how many of those points fell inside the circle (M).
Pi is then approximated as follows:
pi = 4*M / N
###experiment #1: n = 100 approximation = 3.139039999999993
standard deviation =0.16266492676665165
###experiment #2 n = 1000 approximation = 3.138731999999998
standard deviation =0.05052880540840045
approximation = 3.141386800000004
standard deviation =0.016880051710821277
https://thawing-beyond-86842.herokuapp.com/
The frontend is an interface between the user and the backend. The frontend abstracts the underlying component by providing a user-friendly interface. Frontend (or "client") side is any component manipulated by the user.
Estimate frontend uses:
- Angular - AngularJS is a toolset for building the framework most suited to your application development.
- Twitter Bootstrap - great UI boilerplate for modern web apps
- Chart.js -Simple, clean and engaging charts for designers and developers
The backend is an part of the application that is never visible to the user. The backend provides the core logic and core computation for the application. The backend creates components and features that are accessed by a user through a front-end application.
Estimate backend uses:
git clone https://github.com/jharri34/estimate-pi.git
cd estimate-pi
npm install
cd frontend && bower install && cd ../
node backend/index.js
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