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Stress continuity of function arguments
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Co-authored-by: Hans Olsson <HansOlsson@users.noreply.github.com>
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henrikt-ma and HansOlsson committed Sep 6, 2022
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Expand Up @@ -1230,8 +1230,8 @@ \section{Derivatives and Inverses of Functions}\label{derivatives-and-inverses-o
This means that the function is at least C\textsuperscript{smoothOrder}.

When a tool computes the derivative of a function, e.g., for index reduction or to compute an analytic Jacobian, each differentiation of a function reduces the \lstinline!smoothOrder! by 1.
The \lstinline!smoothOrder! information can then be used to infer continuity of the resulting differentiated function calls.
This is a conservative check, however, meaning that a tool may be able to establish continuity of a function call even though the \lstinline!smoothOrder! has been reduced to less than 0.
The \lstinline!smoothOrder! information can then be used to infer continuity of the resulting differentiated function calls, provided the input arguments are continuous.
This is a conservative check, however, meaning that a tool may be able to establish continuity of a function call even though the \lstinline!smoothOrder! has been reduced to less than 0, and/or some input arguments are not continuous.
\end{nonnormative}

The optional argument {\lstinline!normallyConstant!} of {\lstinline!smoothOrder!} defines that the function argument {\lstinline!IDENT!} is usually constant.
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