From 3180ae0e01a1847a590e5305cdbbd14619d2d50c Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Th=C3=A9ophile=20Bastian?= <contact@tobast.fr>
Date: Fri, 22 Nov 2024 14:14:32 +0100
Subject: [PATCH] Further writeup, start A72

---
 slides/20_foundations/main.tex                |   4 +-
 slides/30_frontend/main.tex                   |  50 ++
 .../imgs/30_frontend/A72_pipeline_diagram.svg | 650 ++++++++++++++++++
 .../30_frontend/A72_pipeline_diagram.svg.pdf  | Bin 0 -> 13319 bytes
 4 files changed, 702 insertions(+), 2 deletions(-)
 create mode 100644 slides/assets/imgs/30_frontend/A72_pipeline_diagram.svg
 create mode 100644 slides/assets/imgs/30_frontend/A72_pipeline_diagram.svg.pdf

diff --git a/slides/20_foundations/main.tex b/slides/20_foundations/main.tex
index 2269d0c..acd16bc 100644
--- a/slides/20_foundations/main.tex
+++ b/slides/20_foundations/main.tex
@@ -72,8 +72,8 @@
             given CPU
         \item Features microarchitectural models
         \item Most often static analyzers
-        \item Predict at least the \emph{reverse-throughput} of a
-            kernel (cycles per iteration)
+        \item Predict at least the \emph{reverse-throughput} $\cyc{\kerK}$ of a
+            kernel $\kerK$ (cycles per iteration)
         \item May derive further useful metrics, \eg{} bottlenecks, by
             inspecting their model at will
     \end{itemize}
diff --git a/slides/30_frontend/main.tex b/slides/30_frontend/main.tex
index eb775e1..d665d89 100644
--- a/slides/30_frontend/main.tex
+++ b/slides/30_frontend/main.tex
@@ -1 +1,51 @@
 \section{A frontend model for the Cortex A72}
+
+\begin{frame}{The Cortex A72}
+    \begin{itemize}
+        \item{} Low-power ARM CPU
+        \item{} CPU of the Raspberry Pi 4: easily available
+        \item{} Aarch64, NEON SIMD
+            \medskip{}
+        \item{} ARM CPUs not usually modeled!
+        \item{} Backend modeled by \palmed{}
+    \end{itemize}
+\end{frame}
+
+\begin{frame}
+    \centering
+    \includegraphics[width=0.9\textwidth]{A72_pipeline_diagram.svg}
+\end{frame}
+
+\begin{frame}{Manual model}
+    \begin{itemize}
+        \item Goal: manually craft a frontend model
+        \item Try to follow methods that can be automated
+        \item Propose a parametric model for future works, leaving question
+            marks on some sections
+    \end{itemize}
+\end{frame}
+
+\begin{frame}{Counting \uops{}}
+    For an instruction $i$, denote \alert{$\mucount{i}$} its number of \uops{}.
+    \begin{itemize}
+        \item{} For $k \in \nat$, construct (if possible) $\kerK_k$ a kernel:
+            \begin{itemize}
+                \item instruction $i$ + $k$ ``simple'' instructions (one \uop)
+                \item frontend-bound:
+                    \[
+                        \cyc{\kerK_k} = \dfrac{k + \mucount{i}}{3}
+                    \]
+            \end{itemize}
+        \item{} For well-chosen $k_0$, we should have
+            \[
+                \cyc{\kerK_{k_0}} + \sfrac{1}{3} = \cyc{\kerK_{k_0+1}}
+            \]
+        \item{} Measure to verify
+            \bigskip
+        \item{} If so, \textbf{\[
+                \mucount{i} = 3 \cyc{\kerK_{k_0}} - k
+        \]}
+
+    \end{itemize}
+
+\end{frame}
diff --git a/slides/assets/imgs/30_frontend/A72_pipeline_diagram.svg b/slides/assets/imgs/30_frontend/A72_pipeline_diagram.svg
new file mode 100644
index 0000000..6cad889
--- /dev/null
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