Cantera  3.1.0a1
polyfit.h
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1 //! @file polyfit.h
2 
3 // This file is part of Cantera. See License.txt in the top-level directory or
4 // at https://cantera.org/license.txt for license and copyright information.
5 
6 #ifndef CT_POLYFIT_H
7 #define CT_POLYFIT_H
8 
9 #include "cantera/base/ct_defs.h"
10 
11 namespace Cantera
12 {
13 
14 //! Fits a polynomial function to a set of data points
15 /*!
16  * Given a collection of *n* points *x* and a set of values *y* of some function
17  * evaluated at those points, this function computes the weighted least-squares
18  * polynomial fit of degree *deg*:
19  *
20  * @f[ f(x) = p[0] + p[1] x + p[2] x^2 + \cdots + p[deg] x^deg @f]
21  *
22  * @param n The number of points at which the function is evaluated
23  * @param deg The degree of the polynomial fit to be computed. deg <= n - 1.
24  * @param x Array of points at which the function is evaluated. Length *n*.
25  * @param y Array of function values at the points in *x*. Length *n*.
26  * @param w Array of weights. If w == nullptr or w[0] < 0, then all the
27  * weights will be set to 1.0.
28  * @param[out] p Array of polynomial coefficients, starting with the constant
29  * term. Length *deg+1*.
30  * @returns the root mean squared error of the fit at the input points.
31  * @ingroup mathUtils
32  */
33 double polyfit(size_t n, size_t deg, const double* x, const double* y,
34  const double* w, double* p);
35 
36 }
37 #endif
This file contains definitions of constants, types and terms that are used in internal routines and a...
double polyfit(size_t n, size_t deg, const double *xp, const double *yp, const double *wp, double *pp)
Fits a polynomial function to a set of data points.
Definition: polyfit.cpp:14
Namespace for the Cantera kernel.
Definition: AnyMap.cpp:564