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miscellaneous-routines.md

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Miscellaneous routines
spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, fortran, Python, gravity, magnetic field
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Routine name Description
MakeCircleCoord Compute coordinates of a circle placed at a given latitude and longitude.
MakeEllipseCoord Compute coordinates of an ellipse placed at a given latitude and longitude.
RandomN Return a pseudo uniform random deviate between 0 and 1 using the algorithm of Park and Miller with a Marsaglia shift sequence.
RandomGaussian Return a pseudo Gaussian deviate of zero mean and unit variance.
PreGLQ Calculate the weights and nodes used in integrating a function by Gauss-Legendre quadrature.
EigValVecSym Compute the eigenvalues and eigenvectors of a real symmetric matrix.
EigValVecSymTri Compute the eigenvalues and eigenvectors of a real symmetric tridiagonal matrix.
EigValSym Compute the eigenvalues of a real symmetric matrix.
Wigner3j Compute the Wigner-3j symbols for all allowable values of j.
DHaj Compute the latitudinal weights used in the Driscoll and Healy (1994) spherical harmonic transform.