Cubic HermitePiece
An AbstractHermiteSpline is defined by a sequence of cubic pieces. Each piece can be accessed and "extracted" as HermitePiece for local evaluation.
HermitePiece is stored as a pairs of knots, values and derivatives.
HermiteSpline.HermitePiece — TypePiece of an AbstractHermiteSpline that can be evaluated.
A piece is defined by two knots t0, t1 and values and derivarives at knots.
See also AbstractHermiteSpline, piece, somepiece
HermiteSpline.HermitePiece — Methodp::HermitePiece
x = p(t, Value)Evaluate HermitePiece at t.
HermiteSpline.HermitePiece — Methodp::HermitePiece
x, dx = p(t, ValueDerivative)Evaluate HermitePiece at t.
HermiteSpline.HermitePiece — Methodp = HermitePiece(x0, dx0, x1, dx1, t0, t1)Construct HermitePiece
Base.in — Methodp::HermitePiece
t in pIs t in knots interval of HermitePiece p?
Base.similar — Methodq = similar(p::HermitePiece)Get undefined HermitePiece of same type
HermiteSpline.hermitebasis — Methodcx0, cdx0, cx1, cdx1 = hermitebasis(t)Evaluate Hermite basis for computing values as weighted sum of coefficients x0, dx0, x1, dx1 for 0 <= t <= 1.
HermiteSpline.hermitederivativebasis — Methodex0, edx0, ex1, edx1 = hermitederivativebasis(t)Evaluate Hermite basis for computing derivatives as weighted sum of coefficients x0, dx0, x1, dx1 for 0 <= t <= 1.