Double Integrator Copyright (C) 2015  Marco Spadini
 
This program comes with ABSOLUTELY NO WARRANTY. 
This is free software, and you are welcome to redistribute it under certain 
conditions.  
See the GNU General Public License for more details.


About the author:
Marco Spadini                         
Dipartimento di Matematica e Informatica,
Via S. Marta 3, 50139 Firenze,       
ITALY 

web: http:\\www.dma.unifi.it\~spadini
e-mail: marco.spadini@unifi.it

  Description:  
  The purpose of this program is to sketch plane domains defined by a complex
  sets of inequalities it can compute a rough approximation of their area, of the
  double integral of given functions on such sets, and the area of their graphs.
  The user should provide a reference rectangle R (determined by two opposite 
  corners, south-west SW=(x0,y0) and north-east NE=(x1,y1)), and a set of 
  conditions (namely a bunch of inequalities joined by logical connectives as 
  ".and.", ".or.", ".xor.", or the operator ".not." ). The set of conditions can 
  be distributed on several lines (all logically linked by ".and.", but do **not**
  break a single condition over two lines: results are unpredictable).
  The program tries to sketch the closure of the interior of the set D of those 
  points (x,y) in the reference rectangle R where the condition holds. (Note that 
  boundaries, albeit shown, are not necessarily included in the domain D, but do 
  belong to the closure of D).

  The functions  and conditions ought to be inserted as strings (using Python 
  conventions with the addition of the ".xor." operator and of the "signum" function . 
  All input boxes accept simple Python expressions, like e/2 or pi. A word of caution 
  concerns integer division: recall that in Python, as in many other languages, 
  1./2. = 0.5 whereas 1/2 = 0. 



Requirements:
A working Python (I tested v. 2.7) installation with the Tkinter, numpy, scipy, 
matplotlib and Parallel Python modules is required.
You can obtain Parallel Python (which is not part of the standard library) from
here: http://www.parallelpython.com/


Installation: 
Just copy this directory somewhere you have the rights to read write and 
execute.


RUNNING THE PROGRAM:
In a terminal, go to the directory where the program is installed.
At the prompt, issue the command "python DInteg_14.py". Enjoy!