bedtools is a powerful toolset for genome arithmetic.
Collectively, the bedtools utilities are a swiss-army knife of tools for a wide-range of genomics analysis tasks. The most widely-used tools enable genome arithmetic: that is, set theory on the genome. For example, bedtools allows one to intersect, merge, count, complement, and shuffle genomic intervals from multiple files in widely-used genomic file formats such as BAM, BED, GFF/GTF, VCF. While each individual tool is designed to do a relatively simple task (e.g., intersect two interval files), quite sophisticated analyses can be conducted by combining multiple bedtools operations on the UNIX command line.
Aaron R. Quinlan, Ira M. Hall. BEDTools: a flexible suite of utilities for comparing genomic features. Bioinformatics (2010) 26 (6): 841-842. doi:10.1093/bioinformatics/btq033