!)&)      !"#$%&'(None-QSTV])emd>Treats every item in a "plateu" as a local minimum or maximum.)None -FSTVi *emd :https://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm Will return +8 if the matrix is not invertible. This will happen if: +The first item in the main diagonal is zeroThere is any i such that b_{i + 1} = a_i * c_i. That is, an item in the main diagonal is equal to the product of the off-diagonal elements a row above itAnother mystery condition!*emda: Bottom diagonal of Memdb: Main diagonal of Memdc: Upper diagonal of Memdyemdx such that M x = y*(c) Justin Le 2018BSD3 justin@jle.im experimental non-portableNone "#&'-/STVi emd1D Cubic spline,emda-emdb.emdy_{i-1}/emdy_i0emd x_i - x_{i-1}emdEnd condition for splineemd!Sample a spline at a given point.emdaBuild a cubic spline based on control points using given end conditions (not-a-knot, or natural) 2https://en.wikipedia.org/wiki/Spline_interpolationemd(x, y)(c) Justin Le 2018BSD3 justin@jle.im experimental non-portableNone"#&',-FSTV]& emdVThe result of a sifting operation. Each sift either yields a residual, or a new IMF. emdAn   v n a5 is a Hilbert-Huang transform of a time series with n items of type a stored in a vector v.emd#Stop conditions for sifting processemdStop using standard SD methodemd'Stop after a fixed number of iterationsemdone or the otheremdboth conditions metemdOptions for EMD composition.emdstop condition for siftingemd#end conditions for envelope splinesemdif 1<, use time series endpoints as part of min and max envelopesemdDefault emdDefault 2emd1 if stopemdhEMD decomposition (Hilbert-Huang Transform) of a given time series with a given sifting stop condition.emdn, but tracing results to stdout as IMFs are found. Useful for debugging to see how long each step is taking.emd$ with a callback for each found IMF. emdFIterated sifting process, used to produce either an IMF or a residual.3emd Single sift!emd@Returns cubic splines of local minimums and maximums. Returns +J if there are not enough local minimum or maximums to create the splines.4emd7Build a splined vector against a map of control points.  !  !5      !"#$%&'()*+,-./0123456789:;<="emd-0.1.0.0-7FrmLS0zXav80XYDA3mujUNumeric.EMD.Internal.Spline Numeric.EMDNumeric.EMD.Internal.Extrema Numeric.EMD.Internal.TridiagonalSpline SplineEnd SENotAKnot SENatural sampleSpline makeSpline$fShowSplineEnd $fEqSplineEnd$fOrdSplineEnd$fShowSplineCoef SiftResult SRResidualSRIMFEMDemdIMFs emdResidual SiftConditionSCStdDevSCTimesSCOrSCAndEMDOptsEOeoSiftCondition eoSplineEndeoClampEnvelope defaultEO defaultSCemdemdTraceemd'sift envelopes$fShowSiftCondition$fEqSiftCondition$fOrdSiftCondition $fShowEMDOpts $fEqEMDOpts $fOrdEMDOpts $fShowEMDextremasolveTridiagonalbaseGHC.BaseNothingscAlphascBetascGamma0scGamma1scDeltaghc-prim GHC.TypesTrue testConditionsift' splineAgainst