From 2a83463a2e756c7e343f5f052dc861b82f351475 Mon Sep 17 00:00:00 2001 From: Reza Rastak Date: Thu, 28 May 2020 02:21:11 -0400 Subject: [PATCH] Information about constexpr capabilities of dealii added --- 9.2/paper.tex | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/9.2/paper.tex b/9.2/paper.tex index f93a9ff..58393f4 100644 --- a/9.2/paper.tex +++ b/9.2/paper.tex @@ -235,6 +235,21 @@ that we briefly outline in the remainder of this section: solution. This, too, has been addressed in this release. \item \todo[inline]{Reza: Please add a short summary of the \texttt{DiscreteTime} class} +\item Certain types of quantities in a simulation are constants fully known + at compile time. They can be pre-calculated and fully stored inside the + compiled program binary in order to avoid unnecessary initialization during + runtime. This optimization is now enabled for the class templates + \texttt{Tensor} and \texttt{SymmetricTensor} by qualifying their constructor, + member functions, and overloaded operators as \texttt{constexpr}. + For instance, the linear mechanical constitutive model for elastic solids + uses a constant fourth-order elasticity tensor + $\mathbb{C} = \lambda \boldsymbol{I} \otimes \boldsymbol{I} + 2 \mu \mathbb{I}$ + which does not depend on the current state of strain. + This tensor can be statically initialized by defining it as + \texttt{constexpr SymmetricTensor<4, dim>}. + As another example, the lattice vectors in a crystal plasticity model are generally + constant and known during compilation time, enabling their efficient definition as + \texttt{constexpr Tensor<1, dim>}. \item z \todo[inline]{What else? Maybe mention the updated step-12?} \end{itemize} % -- 2.39.5