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### D.5.1 `gsldif` input parameters

The argument to the functions with mnemonics of `backward`, `central` or `forward` is a pair `(f,x)`, where f is the virtual machine code for a real valued function of a real variable, and x is the input to f where the derivative is sought. Real numbers are represented according to `math`.

The argument to the functions with mnemonics of `t_backward`, `t_central` or `t_forward` is a pair `((f,t),x)`, where f and x are as above, and t is a tolerance represented as a floating point number. The tolerance is passed through to the GNU Scientific library (GSL) differentiation routines.

When no tolerance is specified, the default is `1.0e-8`.

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