From 359a0eaa448da782ce12bc7f01d303890c6b4dbc Mon Sep 17 00:00:00 2001 From: Yangwook Kang Date: Tue, 16 Jun 2026 11:58:48 -0700 Subject: [PATCH] paper(platform): Table 1 -> table*, shrink Fig 1 row 1, move Fig 1/2 source up MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit - Probe table (Table 1, tab:probe-pe-dma) promoted to table* so it spans both columns and no longer gets clipped at the column edge. - Fig 1 (hw-arch) row 1 (SIP, CUBE subfigures) trimmed: widths 0.495 -> 0.42 textwidth and a height=0.6\linewidth cap added so the figure occupies less vertical space and floats can land earlier in the document. - Fig 1 and Fig 2 source blocks relocated to the top of §2 so they enter LaTeX's float queue before any §2 body text. As a result Fig 1 now lands on page 3 and Fig 2 on page 4 (was 4 and 5). - Table 2 (tab:hw, modeled hardware config) reverted to plain \begin{table}; the previous \begin{table*} reshape was not requested. Co-Authored-By: Claude Opus 4.7 (1M context) --- docs/report/1H-codesign-paper/build/main.pdf | Bin 1121839 -> 1125838 bytes .../sections/02-platform.tex | 173 ++++++++++-------- 2 files changed, 92 insertions(+), 81 deletions(-) diff --git a/docs/report/1H-codesign-paper/build/main.pdf b/docs/report/1H-codesign-paper/build/main.pdf index a261ec7519efb2371d8b500b24cfa66b72e65bea..10352feef2d3c645bdeb46f35c13e586b47cb5c7 100644 GIT binary patch delta 120377 zcmcG$c_5VE8$R6F_ie_$%U)ruBm2JZOOos=C5$YQOxEn%&=9h>2vLze`yQc0ku@o@ zCR^owo*8{U3+HKGXDigrd98gv63$mTVU9m{KyVn#{%B`I@(vi^Em$ zlZWGFG7R@G2o(L^NcNwhk~B0RaBwL0e}{rJKYwoA`Oi=%oMFkBU}gvuCe9_s1r8%G zFRJh2e$o397eWR-wJ7svGz_;eL=zZHn|(z8A6%WS1P5@LOTfP129x?i^&yc|&p#pDgUlf5fev3t(?q zArfHh;0MP08)7FuwLs#1V%T5ppNOWxu9HFpCnxzjRv2X(ZI+%wH2K`?^ zk~Gxu5LmK{?@t&O%wYmpT!HN#oiKzry3qEYfTMwt09-3t+7br_g8U84^*=|F`gjd?&z;Tx!Gv~L4|>WJ3WNXO1WXpoa1JaJu%iJ? zkbZHH38!Eg;Be@{bh^Km2nY#J7UcAPM!>=OYxXY!^9RqMh8>BEEJ*47smDFKS^ChU 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+++ b/docs/report/1H-codesign-paper/sections/02-platform.tex @@ -1,3 +1,62 @@ +\begin{figure*}[t] +\centering +\begin{subfigure}[b]{0.42\textwidth} + \centering + \includegraphics[width=\linewidth,height=0.6\linewidth,keepaspectratio]{sip_architecture.pdf} + \caption{SIP level: $4{\times}4$ CUBE mesh + IO chiplet.} + \label{fig:sip-arch} +\end{subfigure}\hfill +\begin{subfigure}[b]{0.42\textwidth} + \centering + \includegraphics[width=\linewidth,height=0.6\linewidth,keepaspectratio]{cube_architecture.pdf} + \caption{CUBE level (zoom-in of one CUBE in (a)): 8 PEs, HBM + channels, M\_CPU, SRAM, NoC router mesh, UCIe links.} + \label{fig:cube-arch} +\end{subfigure} + +\vspace{0.6em} + +\begin{subfigure}[t]{\textwidth} + \centering + \includegraphics[width=\linewidth]{pe_architecture.png} + \caption{PE level (zoom-in of one PE in (b)): \textsf{PE\_CPU} + dispatches commands to \textsf{PE\_SCHED}, which routes tile-token + streams through \textsf{PE\_DMA}, \textsf{PE\_FETCH\_STORE}, and + \textsf{GEMM}/\textsf{MATH} engines; \textsf{PE\_IPCQ} is the + on-device collective control plane.} + \label{fig:pe-arch} +\end{subfigure} +\caption{Modeled hardware graph at the SIP, CUBE, and PE levels +(one example configuration; specific parameters in \S\ref{sec:hw} / +Table~\ref{tab:hw}). KernBench is not tied to this particular +arrangement: each box is a modeled component node, each line a +directed link with bandwidth and propagation attributes, and any +topology that respects those attributes is supported.} +\label{fig:hw-arch} +\end{figure*} + +\begin{figure*}[t] +\centering +\includegraphics[width=\textwidth]{latency_model.png} +\caption{Conceptual schematic of the latency model. Two source nodes +(Requester A/B) inject flits through a chain of routers into a +destination node; on the shared edge between routers, flits from the +two transactions are interleaved flit-by-flit by the wire's FIFO +arrival order. End-to-end latency is the sum of four contributions: +\textbf{per-node overhead} (the switch's fixed processing cost, +shown in light yellow---the same colour as the destination's +processing-logic block), \textbf{per-edge transmission} +($\textit{flit\_size}/\textit{BW}$ on each wire), +\textbf{drain} (per-flit service occupancy at the destination's +channel), and \textbf{queuing delay} (waiting in a FIFO when a +shared resource is busy). The places where queuing actually +accumulates are highlighted in green: the router output queue and +the destination's input queue. This is the model, not a +measurement; specific bandwidths and overheads are listed in +\S\ref{sec:hw} (Table~\ref{tab:hw}).} +\label{fig:latency-model} +\end{figure*} + \section{The KernBench Platform} \label{sec:platform} @@ -71,43 +130,6 @@ composite form is the substrate for the GEMM optimization (\S\ref{sec:gemm}) and, combined with on-PE collectives, for fused attention (\S\ref{sec:gqa}). -\begin{figure*}[t] -\centering -\begin{subfigure}[b]{0.495\textwidth} - \centering - \includegraphics[width=\linewidth]{sip_architecture.pdf} - \caption{SIP level: $4{\times}4$ CUBE mesh + IO chiplet.} - \label{fig:sip-arch} -\end{subfigure}\hfill -\begin{subfigure}[b]{0.495\textwidth} - \centering - \includegraphics[width=\linewidth]{cube_architecture.pdf} - \caption{CUBE level (zoom-in of one CUBE in (a)): 8 PEs, HBM - channels, M\_CPU, SRAM, NoC router mesh, UCIe links.} - \label{fig:cube-arch} -\end{subfigure} - -\vspace{0.6em} - -\begin{subfigure}[t]{\textwidth} - \centering - \includegraphics[width=\linewidth]{pe_architecture.png} - \caption{PE level (zoom-in of one PE in (b)): \textsf{PE\_CPU} - dispatches commands to \textsf{PE\_SCHED}, which routes tile-token - streams through \textsf{PE\_DMA}, \textsf{PE\_FETCH\_STORE}, and - \textsf{GEMM}/\textsf{MATH} engines; \textsf{PE\_IPCQ} is the - on-device collective control plane.} - \label{fig:pe-arch} -\end{subfigure} -\caption{Modeled hardware graph at the SIP, CUBE, and PE levels -(one example configuration; specific parameters in \S\ref{sec:hw} / -Table~\ref{tab:hw}). KernBench is not tied to this particular -arrangement: each box is a modeled component node, each line a -directed link with bandwidth and propagation attributes, and any -topology that respects those attributes is supported.} -\label{fig:hw-arch} -\end{figure*} - KernBench is layered along the flow of a request: \begin{itemize} @@ -143,28 +165,6 @@ wire, \textbf{drain} (per-flit service occupancy) at the destination, and \textbf{queuing delay} at the shared FIFOs that the wire and the destination share between concurrent transactions. -\begin{figure*}[t] -\centering -\includegraphics[width=\textwidth]{latency_model.png} -\caption{Conceptual schematic of the latency model. Two source nodes -(Requester A/B) inject flits through a chain of routers into a -destination node; on the shared edge between routers, flits from the -two transactions are interleaved flit-by-flit by the wire's FIFO -arrival order. End-to-end latency is the sum of four contributions: -\textbf{per-node overhead} (the switch's fixed processing cost, -shown in light yellow---the same colour as the destination's -processing-logic block), \textbf{per-edge transmission} -($\textit{flit\_size}/\textit{BW}$ on each wire), -\textbf{drain} (per-flit service occupancy at the destination's -channel), and \textbf{queuing delay} (waiting in a FIFO when a -shared resource is busy). The places where queuing actually -accumulates are highlighted in green: the router output queue and -the destination's input queue. This is the model, not a -measurement; specific bandwidths and overheads are listed in -\S\ref{sec:hw} (Table~\ref{tab:hw}).} -\label{fig:latency-model} -\end{figure*} - \paragraph{The hardware as a graph.} The topology is compiled once at configuration time into this graph and is never mutated during a run. There are no hidden shortcuts, implicit bypasses, or magic paths: if a @@ -308,7 +308,7 @@ self-consistent---a model error in any of them would surface as a non-monotonic or under-utilising curve here long before it polluted a kernel-level measurement. -\begin{table}[t] +\begin{table*}[t] \centering \caption{PE\,$\to$\,HBM DMA latency probe at varying hop distances (\SI{32}{\kibi\byte} transfer; output captured from \texttt{kernbench @@ -327,7 +327,7 @@ PE\,$\to$\,cross-CUBE (best) & 330.5 & 77.5 & ~99.6 \\ PE\,$\to$\,cross-CUBE (worst) & 677.1 & 37.8 & ~97.8 \\ \bottomrule \end{tabular} -\end{table} +\end{table*} \subsection{Modeled hardware configuration} \label{sec:hw} @@ -369,33 +369,44 @@ configuration. Workload-specific parameters such as matrix dimensions, sequence lengths, and collective payload sizes are introduced in their respective sections. -\begin{table*}[t] +\begin{table}[t] \centering \caption{Modeled hardware configuration (shared by all experiments).} \label{tab:hw} \small -\begin{tabular}{@{}ll@{\hspace{3em}}ll@{}} +\begin{tabular}{@{}ll@{}} \toprule -\textbf{Parameter} & \textbf{Value} & \textbf{Parameter} & \textbf{Value} \\ +\textbf{Parameter} & \textbf{Value} \\ \midrule -\multicolumn{2}{@{}l}{\emph{Hierarchy}} & \multicolumn{2}{@{}l}{\emph{Memory (per CUBE)}} \\ -SIPs & 2 (1D ring) & HBM capacity & \SI{48}{\giga\byte} (8 slices) \\ -CUBEs per SIP & 16 ($4\times4$ mesh) & HBM aggregate BW & \SI{1024}{\giga\byte\per\second} \\ -PEs per CUBE & 8 (4 corners $\times$ 2) & HBM pseudo-channels & 64 (8 per PE), \SI{32}{\giga\byte\per\second} each \\ -PEs total & 256 & SRAM (shared) & \SI{32}{\mega\byte}, \SI{128}{\giga\byte\per\second} link \\ - & & HBM burst & \SI{256}{\byte} \\ +\multicolumn{2}{@{}l}{\emph{Hierarchy}} \\ +SIPs & 2 (1D ring) \\ +CUBEs per SIP & 16 ($4\times4$ mesh) \\ +PEs per CUBE & 8 (4 corners $\times$ 2) \\ +PEs total & 256 \\ \midrule -\multicolumn{2}{@{}l}{\emph{Processing element (PE)}} & \multicolumn{2}{@{}l}{\emph{Interconnect}} \\ -GEMM engine peak & \SI{8}{\tera\flop\per\second} (f16) & Intra-CUBE NoC link & \SI{256}{\giga\byte\per\second}, \SI{2}{\nano\second}/router \\ -TCM (on-PE) & \SI{16}{\mega\byte}, \SI{512}{\giga\byte\per\second} R/W & Inter-CUBE (UCIe PHY) & \SI{512}{\giga\byte\per\second}, \SI{8}{\nano\second}, XY routing \\ -\quad kernel scratch & \SI{1}{\mega\byte} & Inter-SIP (PCIe) & \SI{768}{\giga\byte\per\second} per endpoint \\ -DMA engines & 1 read + 1 write & & \\ -CPU / scheduler overhead & \SI{2}{\nano\second} / \SI{1}{\nano\second} & & \\ +\multicolumn{2}{@{}l}{\emph{Processing element (PE)}} \\ +GEMM engine peak & \SI{8}{\tera\flop\per\second} (f16) \\ +TCM (on-PE) & \SI{16}{\mega\byte}, \SI{512}{\giga\byte\per\second} R/W \\ +\quad kernel scratch & \SI{1}{\mega\byte} \\ +DMA engines & 1 read + 1 write \\ +CPU / scheduler overhead & \SI{2}{\nano\second} / \SI{1}{\nano\second} \\ \midrule -\multicolumn{2}{@{}l}{\emph{Command-issue cost model (defaults)}} & & \\ -FIXED per command & 40 cycles & & \\ -per-byte rate $R$ & 0.0625 cycles/byte (\SI{16}{\byte\per\cycle}) & & \\ -composite size cap & \SI{1024}{\byte} & & \\ +\multicolumn{2}{@{}l}{\emph{Memory (per CUBE)}} \\ +HBM capacity & \SI{48}{\giga\byte} (8 slices) \\ +HBM aggregate BW & \SI{1024}{\giga\byte\per\second} \\ +HBM pseudo-channels & 64 (8 per PE), \SI{32}{\giga\byte\per\second} each \\ +SRAM (shared) & \SI{32}{\mega\byte}, \SI{128}{\giga\byte\per\second} link \\ +HBM burst & \SI{256}{\byte} \\ +\midrule +\multicolumn{2}{@{}l}{\emph{Interconnect}} \\ +Intra-CUBE NoC link & \SI{256}{\giga\byte\per\second}, \SI{2}{\nano\second}/router \\ +Inter-CUBE (UCIe PHY) & \SI{512}{\giga\byte\per\second}, \SI{8}{\nano\second}, XY routing \\ +Inter-SIP (PCIe) & \SI{768}{\giga\byte\per\second} per endpoint \\ +\midrule +\multicolumn{2}{@{}l}{\emph{Command-issue cost model (defaults)}} \\ +FIXED per command & 40 cycles \\ +per-byte rate $R$ & 0.0625 cycles/byte (\SI{16}{\byte\per\cycle}) \\ +composite size cap & \SI{1024}{\byte} \\ \bottomrule \end{tabular} -\end{table*} +\end{table}