úÎTå.      !"#$%&'()*+,- Safe./01./01./01 Safe234234234 Safe 56789:;<= 56789:;<= 56789:;<=SafecHermite interpolation with one derivative per node. That is, the interpolating polynomial is cubic.Safe1list must be sorted with respect to first element     SafeSafe>>SafeaCubic interpolation where the derivative at a node is set to the slope of the two adjacent nodes.†Cubic interpolation where the derivative at a node is set to the slope of the parabola through the current and the two adjacent nodes.?,Experimental interpolation which is mean of  and #. The result looks reasonable, too.@A?@A?Safe'coefficientsToLinear nodes coefficients' creates an interpolation function for nodes , where the  coefficients4 correspond to the basis functions constructed with Basis.linear nodes.Cf. Cf. Cf. Safe#Fmaximum difference of indices of basis functions that overlap plus one !"#$%&'()*+B  !"#$%&'()*+  !"#$%&'()*+ !"#$%&'()*+BSafe,CIt is a checked error to interpolate outside of the range of nodes.-_Outside the range of nodes the interpolation function takes the value of the respective border.,-,-,-,-C         !"#$%&'( )* +  , - . / 0 1 2 3 4 5 6 7 8 9:;:<;=,interpolation-0.1.0.2-DO6iNJGZrr2JfvB4CqdAGKNumeric.Interpolation.PieceNumeric.Interpolation.NodeListNumeric.Interpolation.Sample Numeric.Interpolation.Basis.Full#Numeric.Interpolation.Basis.CompactNumeric.Interpolation.BasisNumeric.Interpolation.TypeNumeric.Interpolation.Piecewise#Numeric.Interpolation.Private.Piece"Numeric.Interpolation.Private.List#Numeric.Interpolation.Private.BasisTlinearhermite1IntervalNodefromList singletontoListlookup$fTraversableT $fFoldableT $fFunctorT$fEqT$fOrdT$fShowT cubicLinear cubicParabolacoefficientsToLinearcoefficientsToHermite1coefficientsToCubicLinearcoefficientsToCubicParabolaCons ssvFromNodesinterpolatePiece basisOverlapbasisFunctionssampleBasisFunctionscoefficientsToInterpolator valueFromNode interpolateinterpolateConstantExtsqr hermite1' hermite1'' mapAdjacent3mapAdjacentMaybe3mapAdjacentMaybe5_hermite1Split hermite1SplitpairsparabolaDerivativeparabolaBasisDerivativeLeftparabolaBasisDerivativeCenterparabolaBasisDerivativeRightparabolaDerivativeCenterNodeparabola2ndDerivativeCenterNodegeneric _cubicMeancubicAutoGeneric