[python] Memory errors and list limits?

I need to produce large and big (very) matrices (Markov chains) for scientific purposes. I perform calculus that I put in a list of 20301 elements (=one row of my matrix). I need all those data in memory to proceed next Markov step but i can store them elsewhere (eg file) if needed even if it will slow my Markov chain walk-through. My computer (scientific lab): Bi-xenon 6 cores/12threads each, 12GB memory, OS: win64

  Traceback (most recent call last):
  File "my_file.py", line 247, in <module>
    ListTemp.append(calculus)
MemoryError

Example of calculus results: 9.233747520008198e-102 (yes, it's over 1/9000)

The error is raised when storing the 19766th element:

ListTemp[19766]
1.4509421012263216e-103

If I go further

Traceback (most recent call last):
  File "<pyshell#21>", line 1, in <module>
    ListTemp[19767]
IndexError: list index out of range

So this list had a memory error at the 19767 loop.

Questions:

1. Is there a memory limit to a list? Is it a "by-list limit" or a "global-per-script limit"?

2. How to bypass those limits? Any possibilites in mind?

3. Will it help to use numpy, python64? What are the memory limits with them? What about other languages?

The MemoryError exception that you are seeing is the direct result of running out of available RAM. This could be caused by either the 2GB per program limit imposed by Windows (32bit programs), or lack of available RAM on your computer. (This link is to a previous question).

You should be able to extend the 2GB by using 64bit copy of Python, provided you are using a 64bit copy of windows.

The IndexError would be caused because Python hit the MemoryError exception before calculating the entire array. Again this is a memory issue.

To get around this problem you could try to use a 64bit copy of Python or better still find a way to write you results to file. To this end look at numpy's memory mapped arrays.

You should be able to run you entire set of calculation into one of these arrays as the actual data will be written disk, and only a small portion of it held in memory.

If you want to circumvent this problem you could also use the shelve. Then you would create files that would be the size of your machines capacity to handle, and only put them on the RAM when necessary, basically writing to the HD and pulling the information back in pieces so you can process it.

Create binary file and check if information is already in it if yes make a local variable to hold it else write some data you deem necessary.

Data = shelve.open('File01')
   for i in range(0,100):
     Matrix_Shelve = 'Matrix' + str(i)
     if Matrix_Shelve in Data:
        Matrix_local = Data[Matrix_Shelve]
     else:
        Data[Matrix_Selve] = 'somenthingforlater'

Hope it doesn't sound too arcaic.

There is no memory limit imposed by Python. However, you will get a MemoryError if you run out of RAM. You say you have 20301 elements in the list. This seems too small to cause a memory error for simple data types (e.g. int), but if each element itself is an object that takes up a lot of memory, you may well be running out of memory.

The IndexError however is probably caused because your ListTemp has got only 19767 elements (indexed 0 to 19766), and you are trying to access past the last element.

It is hard to say what you can do to avoid hitting the limit without knowing exactly what it is that you are trying to do. Using numpy might help. It looks like you are storing a huge amount of data. It may be that you don't need to store all of it at every stage. But it is impossible to say without knowing.