How could the UNIX sort command sort a very large file?

Question

The Algorithmic details of UNIX Sort command says Unix Sort uses an External R-Way merge sorting algorithm. The link goes into more details, but in essence it divides the input up into smaller portions (that fit into memory) and then merges each portion together at the end.

The sort command stores working data in temporary disk files (usually in /tmp).

#!/bin/bash

usage ()
{
    echo Parallel sort
    echo usage: psort file1 file2
    echo Sorts text file file1 and stores the output in file2
}

# test if we have two arguments on the command line
if [ $# != 2 ]
then
    usage
    exit
fi

pv $1 | parallel --pipe --files sort -S512M | parallel -Xj1 sort -S1024M -m {} ';' rm {} > $2

WARNING: This script starts one shell per chunk, for really large files, this could be hundreds.

---

Here is a script I wrote for this purpose. On a 4 processor machine it improved the sort performance by 100% !

#! /bin/ksh

MAX_LINES_PER_CHUNK=1000000
ORIGINAL_FILE=$1
SORTED_FILE=$2
CHUNK_FILE_PREFIX=$ORIGINAL_FILE.split.
SORTED_CHUNK_FILES=$CHUNK_FILE_PREFIX*.sorted

usage ()
{
     echo Parallel sort
     echo usage: psort file1 file2
     echo Sorts text file file1 and stores the output in file2
     echo Note: file1 will be split in chunks up to $MAX_LINES_PER_CHUNK lines
     echo  and each chunk will be sorted in parallel
}

# test if we have two arguments on the command line
if [ $# != 2 ]
then
    usage
    exit
fi

#Cleanup any lefover files
rm -f $SORTED_CHUNK_FILES > /dev/null
rm -f $CHUNK_FILE_PREFIX* > /dev/null
rm -f $SORTED_FILE

#Splitting $ORIGINAL_FILE into chunks ...
split -l $MAX_LINES_PER_CHUNK $ORIGINAL_FILE $CHUNK_FILE_PREFIX

for file in $CHUNK_FILE_PREFIX*
do
    sort $file > $file.sorted &
done
wait

#Merging chunks to $SORTED_FILE ...
sort -m $SORTED_CHUNK_FILES > $SORTED_FILE

#Cleanup any lefover files
rm -f $SORTED_CHUNK_FILES > /dev/null
rm -f $CHUNK_FILE_PREFIX* > /dev/null

See also: "Sorting large files faster with a shell script"

I'm not familiar with the program but I guess it is done by means of external sorting (most of the problem is held in temporary files while relatively small part of the problem is held in memory at a time). See Donald Knuth's The Art of Computer Programming, Vol. 3 Sorting and Searching, Section 5.4 for very in-depth discussion of the subject.