interp, a C code which takes a set of data associated with successive values of a parameter, and produces an interpolating function which can be evaluated over a continuous range of the parameter.
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interp is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.
bernstein_polynomial, a C code which evaluates the Bernstein polynomials, useful for uniform approximation of functions;
divdif, a C code which uses divided differences to interpolate data.
hermite_interpolant, a C code which computes the Hermite interpolant, a polynomial that matches function values and derivatives.
rbf_interp_1d, a C code which defines and evaluates radial basis interpolants to 1D data.
spline, a C code which computes functions that approximate or interpolate data.
test_approx, a C code which defines a number of test problems for approximation and interpolation.
test_interp_1d, a C code which defines test problems for interpolation of data y(x), depending on a 1D argument.