alexandrelamarre / aitegral-model Goto Github PK

User Story

As a developper, I want to be able to match a string representing a symbolic formula to another string representing its corresponding symbolic formula derivative.

Acceptance Criteria

Implement a perl package that leverages stacks and perl regex to search and replace substrings to their string derivative counterparts using the rules of differentiation. Treat non-diff variables as constant, or alternatively look up some implicit differentiation methods.

User Story

As a developper, I want a clear system design for the data pipeline that our model will use.

Acceptance criteria

Outline a coherent data pipeline that takes a formula -> returns the integrated formula.

Note : Keep in mind this data pipeline must be integrated into a larger cloud hosted system further down the line.

User Story

As a developper, I want to be able to have a tool that tests and builds code before it is merged into main and when it is merged into main.

Acceptance criteria

Implement a Jenkins pipeline, consisting of at least a basic server that builds the docker container and runs the specified tests upon creating PRs and merging them into main.

User Story

As a developper, I want to have access at any time to all symbolic logic operators such as + , -, * and /.

Acceptance Criteria

Implement a perl subroutine to return all available symbolic operators + , -, * and / .

What set of functions should be considered elementary?

So far we have:

• polynomials
• n-th roots
• sin
• cos
• exponential functions
• log
• arccos
• arcsin
• tan
• arctan
• sec
• csc
• cot
• arcsec
• arccsc
• arccot
• sinh
• cosh
• tanh
• sech
• csch
• coth
• arcsinh
• arccosh
• arctanh
• arcsech
• arccsch
• arccoth

User Story

As a developer, I want to be able to access all elementary functions at any time. These include sin, cos, log, etc...

Acceptance Criteria

Implement a perl subroutine that returns all available elementary functions such as sin, cos, log, etc... as an array of strings.

User Story

As a developper, I want to be able to quickly sample a gaussian distribution.

Acceptance criteria

Implement a function in a C module that can quickly sample a gaussian distribution. Wrap the module in Perl's glue language XS

Note: Perl is a great text processor, but its arithmetic implementation is less than desireable, so we choose to use embedded C instead.

User story

As a developper, I want to implement a valid symbolic formulas function, in order to both test random symbolic formula generation as well as provided (one of many) sanitizing functions for Data input to the model.

Acceptance critera

Implement a function that checks valid symbolic formula based on strict formula generation criteria. Returns true iff formula is valid.