machar, a Python code which dynamically computes constants that characterize the floating point arithmetic system on a computer, by William Cody.
The constants include the value of the "machine epsilon", the smallest number that can be added to 1 and make a difference. However, it includes many other quantities of interest, including the arithmetic base, the largest and smallest magnitudes, and so on.
The default variable type in MATLAB is similar to a double precision complex variable. When doing real arithmetic, this means that calculations are done in double precision. MATLAB also offers a function called single that can be used to convert a value to a single precision real value. When used to initialize a variable, single effectively "declares" that variable to be a single precision real variable.
Many compilers now do certain kinds of optimization that may cause MACHAR to fail. The most noticeable symptom is that MACHAR may fall into an infinite loop. If you notice this, recompile MACHAR with compiler optimization turned off, or set to the lowest level. (This s-*ould not be a problem when using Python.)
The FORTRAN77 version of these routines was supplied as part of ACM TOMS algorithm 665.
A C version of these routines was supplied as part of ACM TOMS algorithm 722.
Note that "Numerical Recipes" includes a listing and discussion of MACHAR.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
machar is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
machine, a Python code which stores the appropriate values of machine constants for a given machine.
Original FORTRAN77 version by William Cody. Python version by John Burkardt.