Re: Getting scipy.interpolate.pchip_interpolate to return the first derivative of a pchip interpolation

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On Mon, Jan 23, 2023, 6:12 PM Samuel Dupree <[email protected]> wrote:

> Thank you for all the responses, however my question still remains: how
> does pchip_interpolate know the identity of the function that generated
> the data and the first derivative to be interpolated? It can't because
> all pchip_interpolate gets is a list of numbers. The identity of the
> functions are not passed to it unless there is a way pchip_interpolate
> knows.
>

It does not compute a spline fit to the derivative of the function that
generates the data. It computes a spline fit to the data, then takes the
derivative of the fitted spline function.

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<div dir=3D"auto"><div><div class=3D"gmail_quote"><div dir=3D"ltr" class=3D=
"gmail_attr">On Mon, Jan 23, 2023, 6:12 PM Samuel Dupree &lt;<a href=3D"mai=
lto:[email protected]">[email protected]</a>&gt; wrote:<br></div><b=
lockquote class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px =
#ccc solid;padding-left:1ex">Thank you for all the responses, however my qu=
estion still remains: how <br>
does pchip_interpolate know the identity of the function that generated <br=
>
the data and the first derivative to be interpolated? It can&#39;t because =
<br>
all pchip_interpolate gets is a list of numbers. The identity of the <br>
functions are not passed to it unless there is a way pchip_interpolate <br>
knows.<br></blockquote></div></div><div dir=3D"auto"><br></div><div dir=3D"=
auto">It does not compute a spline fit to the derivative of the function th=
at generates the data. It computes a spline fit to the data, then takes the=
 derivative of the fitted spline function.=C2=A0</div></div>

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