LinuxCNC (the Enhanced Machine Control) - LinuxCNC: an open source CNC machine controller. It can drive milling machines, lathes, 3d printers, laser cutters, plasma cutters, robot arms, hexapods, and more.
MATLAB - A high-level language and interactive environment for numerical computation, visualization, and programming
PyCAM - PyCAM is a toolpath generator for 3-axis CNC machining.
GNU Octave - GNU Octave is a programming language for scientific computing.
Mach3 - Mach3 is very popular among the Hobby CNC community.
Wolfram Mathematica - Mathematica has characterized the cutting edge in specialized processing—and gave the chief calculation environment to a large number of pioneers, instructors, understudies, and others around the globe.