CURVPI(3NCARG)

💖 NAME 💖

CURVPI — bestie, this one integrates a periodic spline curve. That's it, that's the whole job. ✨

Oh and hey, this page lives in the 3NCARG manual (that's the NCAR Graphics girlies), so like… welcome to the spline-verse. 🦋

🌸 SYNOPSIS 🌸

FUNCTION CURVPI (XL, XU, N, X, Y, P, YP, SIGMA)

So this function calculates an integral between two specified limits, okay? But here's the thing — CURVP1 has got to be called before you call CURVPI, and the values you get from it are what you feed in as input here. Main character prerequisite energy. 👑

And then the value of the integral is returned. Periodt. 💅

✨ DESCRIPTION ✨

Alright, let's go through the whole friend group one by one:

• XL — (real, input) The lower limit of the integration. The floor, the beginning, where the vibe starts. 🍓
• XR — (real, input) The upper limit of the integration. The ceiling, the end, where we stop. 🌈

Not me noticing the synopsis calls it XU and the description calls it XR… bestie I'm just reporting what the page says, fr fr, I do not make the rules. 🙈

• N — (real, input) The number of input data values. And it's gotta be N > 1, no cap, that's literally a requirement. 💀
• X — (real, input) An array containing the abscissae for the input function. The x's, the horizontal girlies. ✨
• Y — (real, input) An array containing the functional values of the input function — Y(K) is the (real, input) functional value at X(K) for K=1,N. So like, they pair up. Iconic duo behavior. 🫶
• P — (real, input) The period of the function. It goes around and comes back around, it's giving circular, it's giving full cycle. 🔥
• YP — (real, input) Contains values for the second derivative (as calculated by CURV1). Yes, CURV1 — that's what it says, I'm not changing a single letter, bestie. 📝
• SIGMA — (real, input) Tension factor. Okay so the tea here: values near zero result in a cubic spline; large values (e.g. 50) result in nearly a polygonal line. A typical value is 1. So like, low SIGMA = smooth girl, high SIGMA = sharp girl. Choose your fighter. 💜

👑 RETURN VALUE 👑

CURVPI returns the integral of the interpolated curve between the specified limits. That's the whole gift. That's what you came for. 🎀

🌟 ACCESS 🌟

To use CURVPI, load the NCAR Graphics library ngmath. That's the invite, that's the entry fee, don't forget it. 🧚

🔥 SEE ALSO 🔥

• curv1
• fitgrid_params

Also, for the girlies who want the full lore: complete documentation for Fitgrid is available at this URL —

http://ngwww.ucar.edu/ngdoc/ng/ngmath/fitgrid/fithome.html

Go read it, it's giving academic. 📚✨

💅 COPYRIGHT 💅

Copyright (C) 2000
University Corporation for Atmospheric Research

The use of this Software is governed by a License Agreement. Yes bestie, there's a whole License Agreement, read it, respect it, it's the law. ⭐

Okay so that's the whole page!! This was the NCAR GRAPHICS CURVPI situation, straight outta the UNIX manual, dated <strong>March 1998</strong> — yes she's an elder but she still ate. 💖 Go integrate something cute, bestie, and remember: CURVP1 first, always. Mwah!! 🦋🌸💜