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python - Data size in memory vs. on disk

How does the RAM required to store data in memory compare to the disk space required to store the same data in a file? Or is there no generalized correlation?

For example, say I simply have a billion floating point values. Stored in binary form, that'd be 4 billion bytes or 3.7GB on disk (not including headers and such). Then say I read those values into a list in Python... how much RAM should I expect that to require?

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Python Object Data Size

If the data is stored in some python object, there will be a little more data attached to the actual data in memory.

This may be easily tested.

The size of data in various forms

It is interesting to note how, at first, the overhead of the python object is significant for small data, but quickly becomes negligible.

Here is the iPython code used to generate the plot

%matplotlib inline
import random
import sys
import array
import matplotlib.pyplot as plt

max_doubles = 10000

raw_size = []
array_size = []
string_size = []
list_size = []
set_size = []
tuple_size = []
size_range = range(max_doubles)

# test double size
for n in size_range:
    double_array = array.array('d', [random.random() for _ in xrange(n)])
    double_string = double_array.tostring()
    double_list = double_array.tolist()
    double_set = set(double_list)
    double_tuple = tuple(double_list)

    raw_size.append(double_array.buffer_info()[1] * double_array.itemsize)
    array_size.append(sys.getsizeof(double_array))
    string_size.append(sys.getsizeof(double_string))
    list_size.append(sys.getsizeof(double_list))
    set_size.append(sys.getsizeof(double_set))
    tuple_size.append(sys.getsizeof(double_tuple))

# display
plt.figure(figsize=(10,8))
plt.title('The size of data in various forms', fontsize=20)
plt.xlabel('Data Size (double, 8 bytes)', fontsize=15)
plt.ylabel('Memory Size (bytes)', fontsize=15)
plt.loglog(
    size_range, raw_size, 
    size_range, array_size, 
    size_range, string_size,
    size_range, list_size,
    size_range, set_size,
    size_range, tuple_size
)
plt.legend(['Raw (Disk)', 'Array', 'String', 'List', 'Set', 'Tuple'], fontsize=15, loc='best')

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