úÎ!>é=­     None ˜igrf4Computes the associated Legendre function of degree n and order mE. Note that the resulting function may not be a polynomial, as when m* is odd it involves a fractional power of xm. As used in the geodesy and magnetics literature, these functions do not include the Condon-Shortley phase.igrfLComputes the Schmidt semi-normalized associated Legendre function of degree n and order mm. As used in the geodesy and magnetics literature, these functions do not include the Condon-Shortley phase.igrfDegree n- of the desired associated Legendre function.igrfOrder m- of the desired associated Legendre function.igrfDegree n of the desired function.igrfOrder m of the desired function.None4HV.ßigrfBRepresents a spherical harmonic model of a scalar-valued function.igrfmCreates a spherical harmonic model. Result in an error if the length of the list is not a triangular number.igrf¥Creates a spherical harmonic model, scaling coefficients for the supplied reference radius. Result in an error if the length of the list is not a triangular number.igrf\Computes the scalar value of the spherical harmonic model at a specified spherical position.igrf\Computes the scalar value of the spherical harmonic model at a specified Cartesian position.igrf}Computes the gradient of the scalar value of the spherical harmonic model, in spherical coordinates, at a specified location.igrfÿBComputes the gradient of the scalar value of the spherical harmonic model at a specified location, in Cartesian coordinates. The result is expressed in right-handed coordinates centered at the origin of the sphere, with the positive Z-axis piercing the north pole and the positive x-axis piercing the reference meridian. igrfãComputes the gradient of the scalar value of the spherical harmonic model at a specified location, in Cartesian coordinates. The result is expressed in a reference frame locally tangent to the sphere at the specified location.igrf,A list of g and h coefficients for the modeligrfThe spherical harmonic modeligrfThe reference radiusigrf,A list of g and h coefficients for the modeligrfThe spherical harmonic modeligrfSpherical harmonic modeligrfSpherical radiusigrfSpherical colatitude (radian)igrfSpherical longitude (radian)igrf Model valueigrfSpherical harmonic modeligrf X positionigrf Y positionigrf Z positionigrf Model valueigrfSpherical harmonic modeligrfSpherical radiusigrfSpherical colatitude (radian)igrfSpherical longitude (radian)igrf>Radial, colatitudinal, and longitudinal components of gradientigrfSpherical harmonic modeligrf X positionigrf Y positionigrf Z position igrfSpherical harmonic modeligrfSpherical radiusigrfSpherical colatitude (radian)igrfSpherical longitude (radian)igrf*East, North, and up components of gradient  None0ú igrfParse  ;https://www.ngdc.noaa.gov/IAGA/vmod/coeffs/igrf13coeffs.txt and return a list of models.  None=aigrf:Represents a spherical harmonic model of a magnetic field.igrf2Field at model epoch in nT, reference radius in kmigrf4Secular variation in nT / yr, reference radius in kmigrfdGets a spherical harmonic model of a magnetic field at a specified time offset from the model epoch.igrfeThe International Geomagnetic Reference Field model, 11th edition. Model epoch is January 1st, 2010.igrfeThe International Geomagnetic Reference Field model, 12th edition. Model epoch is January 1st, 2015.igrfeThe International Geomagnetic Reference Field model, 13th edition. Model epoch is January 1st, 2020.igrfMagnetic field modeligrfTime since model epoch (year)igrfaSpherical harmonic model of magnetic field at specified time. Field in nT, reference radius in km        #igrf-0.4.0.0-Ks36Ca9z1tPG52ENJOxJlh*Math.SphericalHarmonics.AssociatedLegendreMath.SphericalHarmonics IGRF.ParserIGRFassociatedLegendreFunction/schmidtSemiNormalizedAssociatedLegendreFunctionSphericalHarmonicModelsphericalHarmonicModelscaledSphericalHarmonicModel evaluateModelevaluateModelCartesianevaluateModelGradientevaluateModelGradientCartesian(evaluateModelGradientInLocalTangentPlane#$fVectorSpaceSphericalHarmonicModel%$fAdditiveGroupSphericalHarmonicModel$fFunctorSphericalHarmonicModel parseModels MagneticModel fieldAtEpochsecularVariation fieldAtTimeigrf11igrf12igrf13