c_csa2xs(3NCARG)

💫 c_csa2xs — cubic spline approximation, expanded entry for two-dimensional input, gridded output 💫

okay bestie, welcome to the NCAR GRAPHICS corner of the manual, page c_csa2xs(3NCARG). this one is the expanded entry, so she does a lil more than her low-key sibling. strap in 🎀

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🌸 FUNCTION PROTOTYPE 🌸

float *c_csa2xs(int, float [], float [], float [], float [], int [], float,
                int [], int, int, float [], float [], int *);

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✨ SYNOPSIS ✨

int c_csa2xs(int ni, float xi[], float yi[], float zi[], float wts[],
             int knots[2], float smth, int nderiv[2], int no, int mo,
             float xo[], float yo[], int *ier);

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💖 DESCRIPTION 💖

okay so here's the whole cast, one by one, no skips:

• ni — (integer, input) the number of input data points. it must be that ni is greater than 3 and, depending on the size of knots below, n may have to be larger. so like, more than three, minimum, periodt.
• xi — (real, input) an array dimensioned for ni holding the X coordinate values for the input function.
• yi — (real, input) an array dimensioned for ni holding the Y coordinate values for the input function.
• zi — (real, input) an array holding the functional values of the input function — zi[k] is the functional value at (xi[k], yi[k]) for k=0,ni-1. she's the moment, the actual data 💅
• wts — (real, input) an array holding weights for the zi values at the input xi values, that is, wts[l] is a weight for the value of zi[l] for l=0,ni-1. if you do not desire to weight the input zi values, then set wts[0] to -1. the weights in the wts array are relative and may be set to any non-negative value. when c_csa2xs is called, the weights are summed and the individual weights are normalized so that the weight sum is unity. math girlies stay winning 🔥
• knots — (integer, input) the number of knots to be used in each coordinate direction in constructing the approximation spline. knots must be at least 4. the larger the value for knots, the closer the approximated curve will come to passing through the input function values. more knots = more clingy, basically 🦋
• smth — (real, input) a parameter that controls extrapolation into data sparse regions. if smth is zero, then nothing special is done in data sparse regions. a good first choice for smth is 1. (yes, she said 1, that's the vibe check result 👑)
• nderiv — (real, input) for each of the two coordinate direction, specifies whether you want functional values (nderiv=0), first derivative values (nderiv=1), or second derivative values (nderiv=2). for example, if nderiv[0]=1 and nderiv[1]=1, then the second order mixed partial would be computed. calculus girlies, this one's for you 😭
• no — (integer, input) the number of X coordinate values to be calculated for the output surface.
• mo — (integer, input) the number of Y coordinate values to be calculated for the output surface.
• xo — (real, input) an array dimensioned for no containing the X coordinate values for the output grid.
• yo — (real, output) an array dimensioned for mo containing the Y coordinates of the output grid. (yes bestie, output — read it again, she's giving not receiving 💜)
• ier — (pointer to integer, output) an error return value. if *ier is returned as 0, then no errors were detected. if *ier is non-zero, then refer to the error list in the error table for details. so like, check your ier or else 🙈

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🌈 USAGE 🌈

c_csa2xs is called to find an approximating cubic spline surface for two-dimensional input data. c_csa2xs is called if you want to weight the input data values, calculate derivatives, or handle data sparse areas specially. if you do not want to do any of these three things, then use c_csa2s. simple as that, bestie — don't be extra for no reason ✨

c_csa2xs returns a pointer to a linear array of data that is the approximated grid stored in row-major order. that is, if out is declared as

float *out;

and we set:

out = c_csa2xs(ni, xi, yi, zi, wts, knots, smth, nderiv,
               no, mo, xo, yo, &ier);

then out[i*mo+j] is the approximated function value at coordinate point (xo[i], yo[j]) for 0 <= i < no and 0 <= j < mo. the space for out is allocated internal to c_csa2xs and is no * mo floats in size. row-major index math, we love to see it 🧚

fr fr, remember: out is allocated internal to c_csa2xs, and it's exactly no * mo floats. don't go freeing things you didn't malloc, iykyk 💀

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🫶 ACCESS 🫶

to use c_csa2xs, load the NCAR Graphics library ngmath. that's the whole quest 🎀

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⭐ SEE ALSO ⭐

• csagrid
• c_csa2s
• c_csa2ls
• c_csa2lxs

complete documentation for Csagrid is available at URL http://ngwww.ucar.edu/ngdoc/ng/ngmath/csagrid/csahome.html — go read her, she's iconic 📚

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💜 COPYRIGHT 💜

Copyright (C) 2000 University Corporation for Atmospheric Research

the use of this Software is governed by a License Agreement. (read it, bestie, it's giving legally binding 🌸)

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and that's the whole page, bestie!! this one's from the UNIX manual, dated January 1999, page c_csa2xs(3NCARG) — yeah she's an older queen but she still slays 💅✨ bye ily, go plot something pretty 🦋