Why should I use NumPy rather than IDL, MATLAB, Octave, or Yorick?
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As always, you should choose the programming tools that suit your problem and your environment. Advantages many people cite are that it is open-source, it doesn’t cost anything, it uses the general-purpose language (Python) rather than a sui generis programming language, and it is relatively easy to connect existing C and Fortran code to the Python interpreter.