CubicHermiteSpline#
- class scipy.interpolate.CubicHermiteSpline(x, y, dydx, axis=0, extrapolate=None)[source]#
- Piecewise-cubic interpolator matching values and first derivatives. - The result is represented as a - PPolyinstance.- Parameters:
- xarray_like, shape (n,)
- 1-D array containing values of the independent variable. Values must be real, finite and in strictly increasing order. 
- yarray_like
- Array containing values of the dependent variable. It can have arbitrary number of dimensions, but the length along - axis(see below) must match the length of- x. Values must be finite.
- dydxarray_like
- Array containing derivatives of the dependent variable. It can have arbitrary number of dimensions, but the length along - axis(see below) must match the length of- x. Values must be finite.
- axisint, optional
- Axis along which y is assumed to be varying. Meaning that for - x[i]the corresponding values are- np.take(y, i, axis=axis). Default is 0.
- extrapolate{bool, ‘periodic’, None}, optional
- If bool, determines whether to extrapolate to out-of-bounds points based on first and last intervals, or to return NaNs. If ‘periodic’, periodic extrapolation is used. If None (default), it is set to True. 
 
 - See also - Akima1DInterpolator
- Akima 1D interpolator. 
- PchipInterpolator
- PCHIP 1-D monotonic cubic interpolator. 
- CubicSpline
- Cubic spline data interpolator. 
- PPoly
- Piecewise polynomial in terms of coefficients and breakpoints 
 - Notes - If you want to create a higher-order spline matching higher-order derivatives, use - BPoly.from_derivatives.- References [1]- Cubic Hermite spline on Wikipedia. - Attributes:
- xndarray, shape (n,)
- Breakpoints. The same - xwhich was passed to the constructor.
- cndarray, shape (4, n-1, …)
- Coefficients of the polynomials on each segment. The trailing dimensions match the dimensions of y, excluding - axis. For example, if y is 1-D, then- c[k, i]is a coefficient for- (x-x[i])**(3-k)on the segment between- x[i]and- x[i+1].
- axisint
- Interpolation axis. The same axis which was passed to the constructor. 
 
 - Methods - __call__(x[, nu, extrapolate])- Evaluate the piecewise polynomial or its derivative. - derivative([nu])- Construct a new piecewise polynomial representing the derivative. - antiderivative([nu])- Construct a new piecewise polynomial representing the antiderivative. - integrate(a, b[, extrapolate])- Compute a definite integral over a piecewise polynomial. - roots([discontinuity, extrapolate])- Find real roots of the piecewise polynomial.