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<div id="version" align=right><b>petsc-3.14.5 2021-03-03</b></div>
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<A NAME="PetscDTJacobiEvalJet"><H1>PetscDTJacobiEvalJet</H1></A>
Evaluate the jet (function and derivatives) of the Jacobi polynomials basis up to a given degree. The Jacobi polynomials with indices $\alpha$ and $\beta$ are orthogonal with respect to the weighted inner product $\langle f, g \rangle = \int_{-1}^1 (1+x)^{\alpha} (1-x)^{\beta) f(x) g(x) dx$.
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscdt.h"
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../DT/PetscDTJacobiEvalJet.html#PetscDTJacobiEvalJet">PetscDTJacobiEvalJet</A>(<A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> alpha, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> beta, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> npoints, const <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> points[], <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> degree, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> k, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> p[])
</PRE>
<H3><FONT COLOR="#CC3333">Input Arguments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>alpha </B></TD><TD>- the left exponent of the weight
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>beta </B></TD><TD>- the right exponetn of the weight
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>npoints </B></TD><TD>- the number of points to evaluate the polynomials at
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>points </B></TD><TD>- [npoints] array of point coordinates
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>degree </B></TD><TD>- the maximm degree polynomial space to evaluate, (degree + 1) will be evaluated total.
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>k </B></TD><TD>- the maximum derivative to evaluate in the jet, (k + 1) will be evaluated total.
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Argments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>p </B></TD><TD>- an array containing the evaluations of the Jacobi polynomials's jets on the points. the size is (degree + 1) x
(k + 1) x npoints, which also describes the order of the dimensions of this three-dimensional array: the first
(slowest varying) dimension is polynomial degree; the second dimension is derivative order; the third (fastest
varying) dimension is the index of the evaluation point.
</TD></TR></TABLE>
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../DT/PetscDTJacobiEval.html#PetscDTJacobiEval">PetscDTJacobiEval</A>(), <A HREF="../DT/PetscDTPKDEvalJet.html#PetscDTPKDEvalJet">PetscDTPKDEvalJet</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>advanced<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/dm/dt/interface/dt.c.html#PetscDTJacobiEvalJet">src/dm/dt/interface/dt.c</A>
<BR><A HREF="./index.html">Index of all DT routines</A>
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