Just posted two packages to the Hackage. My intentions to it was that

from now everyone from Haskell community can simply google for "Haskell integration

of complex functions" and It will be clear as a day that package complex-integrate

provides them with needed functionality. Second package is a library with implementation

of Theta functions. Hope it helps someone. Details below.

### Integration of complex functions

Module for integration of complex functions, which I wrote from scratch because

every numeric library I found (including numeric-tools) could calculate

only integrals of real-valued functions. I placed it under Data.Complex.Integrate,

but maybe there are more suitable place to such a module. It exports a single

function called integrate. Package was called complex-integrate. Today I uploaded

it to http://hackage.haskell.org/package/complex-integrate

### Implementation of Theta-functions

Module with implementation of theta-functions, special complex function of

two variables. Details can be found at http://en.wikipedia.org/wiki/Theta_function.

I placed it under Numeric.Functions.Theta. It exports four theta-functions

and a small helper to calculate their second parameter. Package was called

theta-functions. Today I uploaded it to http://hackage.haskell.org/package/theta-functions

Today I am packaging some modules used by AFCALC and my own writings.

In the AFCALC GitHub repo I am placing the Wiki page which lists every

external link relevant to the project. Also I plan to write a short article

explaining what's going on in AFCALC to the wide public.

Initial paper which was used as an article accompanying my diploma project

was uploaded to Scribd: Numerical Modelling of the 2D Explosion of the Elliptic

Charge using the Multithreading

Integration module which bundled with AFCALC will be published with the name

`Data.Complex.Integrate`

to the HackageDB.

Theta module which bundled with AFCALC and used by the reference model will

be published with the name `Numeric.Functions.Theta`

to the HackageDB.

I'll cabalize Integrate and Theta right after finishing this post.

Well, AFCALC development goes smoothly and I reached the important milestone.

Code base substantially *shrunk* — I was mostly fixing bugs, not adding features.

AFCALC now equipped with one testing model with exp() as transforming function

and one real-world model of explosion made in 1970's by Kotlyar L. M..

It's successfully plotting the simplified version of Kotlyar's model, and it

is very promising result.

I want to pass the following milestones:

- Plotting of full model of Kotlyar's model. It is very important, because there exists the process of calculating the series of additional coefficients for correction function and I want it decoupled from model and added to AFCALC core.
- Simultaneous building of three binaries with
`make`

: one with autotests, one with interactive session and one which plots the whole bunch of charts with different model parameters.

Tomorrow will be *the* day which gives me plot of full Kotlyar's model.

My current science research (in pursue of Ph.D degree) is in field of mathematical

physics. I am doing some cool stuff with representing the processes of explosion,

filtration and electrochemistry as flows of ideal liquid. There are some hard-boiled

math with Complex Complex-value functions. Project is a program in Haskell

to be able to set initial parameters and get a schematic chart representing

the final area and edges of process. Finding precise form of edges (coordinates

of points at edges) is the current goal.

To make my work public I set up a project at GitHub. Just updated it with READMEs

and such. You may look at draft theses in `article/`

directory. They are in

Russian, however. I plan to make an international version when there will be

enough material.

Project is here: AFCALC at GitHub.