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The library covers a wide range of topics in numerical computing. Routines are available for the following areas,
| Complex Numbers | Roots of Polynomials | |
| Special Functions | Vectors and Matrices | |
| Permutations | Sorting | |
| BLAS Support | Linear Algebra | |
| Eigensystems | Fast Fourier Transforms | |
| Quadrature | Random Numbers | |
| Quasi-Random Sequences | Random Distributions | |
| Statistics | Histograms | |
| N-Tuples | Monte Carlo Integration | |
| Simulated Annealing | Differential Equations | |
| Interpolation | Numerical Differentiation | |
| Chebyshev Approximations | Series Acceleration | |
| Discrete Hankel Transforms | Root-Finding | |
| Minimization | Least-Squares Fitting | |
| Physical Constants | IEEE Floating-Point |