GSoC 2016 Application Sanya Khurana:Implementation of multiple types of coordinate systems for vectors

Sanya Khurana edited this page Mar 25, 2016 · 13 revisions

Personal Information

Name: Sanya Khurana


University: Indira Gandhi Delhi Technical University for Women

Github username: sanyagithub

Website :

Country of residence: India

Timezone: IST (GMT +5:30)

Primary language: English

Short Bio

I am Sanya Khurana, currently pursuing Masters in Computer Science ( Second Year ). I completed my graduation in B.Sc(H) Computer Science from University of Delhi. I have experience in creating Android/iOS Applications and Web Applications. I am the Founder and Chapter Leader of Lean In India. "Lean In" is an organisation founded by Sheryl Sandberg, COO of Facebook which aims to empower women towards their ambitions. I am a mentor in "Learn IT, Girl" Organisation - A global mentor-ship program for women around the globe to learn a programming language of their choice. This is my first effort to contribution to an Open Source project as I am a newbie to Open source community.

Programming Experience

I am currently working on MAC OS and I use Sublime Text 2. I like working on Sublime Text 2 mainly because of its User Interface and functionalities. It is simpler to use than many other editors. I believe good UI is very important for a coder to work efficiently.

I started coding during my graduation, freshman year. I have created many Android and iOS Applications like Childhood Epilepsy Detection Tool, ( Android Version ), What would you do if you weren't afraid? and Im4Change . I also created a Student Feedback System for my Campus recently. I am currently working on a Mobile Application Girl-Gorithm that teaches basics of Algorithms and Data Structures to high-school girls to encourage Computer Science Adoption amongst girls. During my graduation I did some Mathematical courses like Calculus and Matrices, Calculus and Geometry and Differential Equations.

I started learning Python 6 months ago and simply fell in love with the language. Before python, I worked in Objective C, Java, C/C++, PHP, JavaScript and HTML. I like Python because of its easier syntax and shorter code ( compared to other languages I worked on ). The language is intuitive and easy to learn. It takes lesser time and code to create a functionality in Python. I was introduced to Sympy and Open Source at the same time and was thrilled to know that I can contribute to this Computer Algebra System. This is the first Open Source I have contributed to and it was a great learning experience already. I love all the features of Sympy but my favourite ones are : the printing module, plotting module and the vectors module.

>>> from sympy.plotting import plot3d

>>> x, y = symbols('x y')

>>> plot3d(x*y, (x, -5, 5), (y, -5, 5))

>>> from sympy import jscode, symbols, Rational, sin, ceiling, Abs

>>> x, tau = symbols("x, tau")

>>> jscode((2*tau)**Rational(7, 2))

'8*Math.sqrt(2)*Math.pow(tau, 7/2)'

>>> jscode(sin(x), assign_to="s")

's = Math.sin(x);'

Contribution to Sympy

(Issue) sympify evaluates Div Operation in case of Unary Operator when evaluate = False

(Merged) Fixes Issue #10773 and #10560

(Closed) Fixing sympify (evaluate = False) for Unary Operators - Issue #10560

(Unmerged) Fixed Issue UserWarning plot3d #10612


I plan to give 6 hours a day to the project and I do not have any prior commitments.


Sympy currently implements only Cartesian Coordinate System. The ideas of this project is to change the vector class such that it has the base class - Orthogonal Coordinate System and their subclasses which are various Coordinate Systems and implement their functionality like - Vector Algebraic Operations and Vector Calculus. We also need to write functions to convert the coordinates from one Coordinate System to another.

We can implement Vector Algebraic/Calculus Operations in 2 ways -

First Way - Convert every Coordinate System into Cartesian System and then compute the operation. In this way, the function has to be rewritten for each Coordinate System.

def class SphericalCoordSys(Vector):

def SphericalSysdot(self, other):

v1 = convertCartesianSys(self)

v2 = convertCartesianSys(other)

return v1.CartesianSys(v2)

Note : This is not the exact code that would be written - just a pseudo code to explain the logic.

Second way - Write generic functions in the super class which can be implemented by each coordinate system.

def class Vector(BasisDependent):

def dot(self,other,angle):

return self*other*cos(angle)

Note : This is not the exact code that would be written - just a pseudo code to explain the logic.


Community Bonding Period

I will use this time to revise my Mathematical Skills and prepare a more detailed schedule. I will use this time for investigation. I will not be able to contribute much ( as far as coding is concerned ) because of my University Semester Exams during that time.

23rd May - 27th June

Basic Implementation and Functionality

  • Change the current Vector Class

  • Implement subclasses -

    • Cartesian Coordinate System
    • Cylindrical coordinate system
    • Spherical coordinate system
    • the rest of the systems only if time allows
  • Implement functionality for each class-

    • Unit Vector
    • Base Vector and Vector Components
    • Addition/Subtraction
    • Scalar Multiplication
    • Dot Product
    • Cross Product
    • Triple Product
    • Triple Vector Product

for all Orthogonal Coordinate Systems

20th June - 11 July

Test and Documentation

  • Write tests and documentation for all the work implemented.

11 July - 15th August

Vector Calculus

  • Implement Vector Differentiation Operations like -

    • Gradient - Measures the rate and direction of change in a scalar field.
    • Curl - Measures the tendency to rotate about a point in a vector field.
    • Divergence - Measures the scalar of a source or sink at a given point in a vector field.
    • Vector Laplacian - Measures the difference between the value of the vector field with its average on infinitesimal balls.
    • Laplacian - Measures the difference between the value of the scalar field with its average on infinitesimal balls.
  • Implement function to convert from one Coordinate System to another

15th August - 23rd August

Finalizing the Code

  • Fixing bugs
  • Writing rigorous tests
  • Finalizing documentation


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