úÎe(      !"#$%&'  Safe-Inferred()*()*()*  Safe-Inferred+,-.+,-.+,-.  Safe-Inferred /01234567 /01234567 /01234567 Safe-InferredcHermite interpolation with one derivative per node. That is, the interpolating polynomial is cubic. Safe-Inferred1list must be sorted with respect to first element  89:   89: Safe-Inferred     Safe-InferredaCubic interpolation where the derivative at a node is set to the slope of the two adjacent nodes.†Cubic interpolation where the derivative at a node is set to the slope of the parabola through the current and the two adjacent nodes.;,Experimental interpolation which is mean of  and #. The result looks reasonable, too.<=;<=; Safe-Inferred'coefficientsToLinear nodes coefficients' creates an interpolation function for nodes , where the  coefficients4 correspond to the basis functions constructed with Basis.linear nodes.Cf. Cf. Cf.  Safe-InferredFmaximum difference of indices of basis functions that overlap plus one !"#>  !"#  !"# !"#> Safe-Inferred$CIt is a checked error to interpolate outside of the range of nodes.%_Outside the range of nodes the interpolation function takes the value of the respective border.$%$%$%$% Safe-Inferred?&'&'&'?&'@        !" #$  % & ' (  ) * + , - . / 0 1 2 345678978:interpolation-0.1Numeric.Interpolation.PieceNumeric.Interpolation.NodeListNumeric.Interpolation.Sample#Numeric.Interpolation.Basis.CompactNumeric.Interpolation.BasisNumeric.Interpolation.TypeNumeric.Interpolation.Piecewise Numeric.Interpolation.Basis.Full"Numeric.Interpolation.Private.List#Numeric.Interpolation.Private.Piece#Numeric.Interpolation.Private.BasisTlinearhermite1NodeIntervalfromList singletontoListlookup cubicLinear cubicParabolacoefficientsToLinearcoefficientsToHermite1coefficientsToCubicLinearcoefficientsToCubicParabolaCons ssvFromNodesinterpolatePiece basisOverlapbasisFunctionssampleBasisFunctionscoefficientsToInterpolator valueFromNode interpolateinterpolateConstantExt mapAdjacent3mapAdjacentMaybe3mapAdjacentMaybe5sqr hermite1' hermite1''_hermite1Split hermite1SplitpairsparabolaDerivativeparabolaBasisDerivativeLeftparabolaBasisDerivativeCenterparabolaBasisDerivativeRightparabolaDerivativeCenterNodeparabola2ndDerivativeCenterNode$fTraversableT $fFoldableT $fFunctorT _cubicMeangenericcubicAutoGeneric