Complete the talk. master
authorMatthijs Kooijman <matthijs@stdin.nl>
Tue, 27 Apr 2010 09:11:42 +0000 (11:11 +0200)
committerMatthijs Kooijman <matthijs@stdin.nl>
Tue, 27 Apr 2010 09:11:42 +0000 (11:11 +0200)
Makefile
figures/cpu.svg [new file with mode: 0644]
figures/mac.svg [new file with mode: 0644]
figures/pipeline.svg [new file with mode: 0644]
figures/reducer.svg [new file with mode: 0644]
figures/smac.svg [new file with mode: 0644]
talk.lhs

index 60513da..7394704 100644 (file)
--- a/Makefile
+++ b/Makefile
@@ -13,13 +13,16 @@ TEXSRCS = \
        preamble.tex
 
 SVGFIGURES = \
+       figures/pipeline.svg \
+       figures/mac.svg \
+       figures/smac.svg \
+       figures/cpu.svg \
+       figures/reducer.svg \
 
 default: $(FILE)
 
 $(FILE): texs figs $(TEXSRCS) $(LHFORMATS) $(FILE).tex
        $(LATEXMK) $(FILE); \
-       open $(FILE).pdf; \
-       $(RM) $(LHSRCS:.lhs=.tex)
 
 texs : $(LHSRCS:.lhs=.tex) 
 %.tex : %.lhs
diff --git a/figures/cpu.svg b/figures/cpu.svg
new file mode 100644 (file)
index 0000000..16efddc
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diff --git a/figures/mac.svg b/figures/mac.svg
new file mode 100644 (file)
index 0000000..e55e3ab
--- /dev/null
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new file mode 100644 (file)
index 0000000..6b64e99
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new file mode 100644 (file)
index 0000000..a4c9adc
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index 62d0e13..f9bb3e4 100644 (file)
--- a/talk.lhs
+++ b/talk.lhs
 \include{preamble}
 
 \title{Haskell-ish Hardware Descriptions}
-\author{Matthijs Kooijman}
-\date{April 24, 2010}
+\author{Matthijs Kooijman, Christiaan Baaij, Jan Kuper}
+\date{Dutch Haskell user group day, 2010}
 
 \begin{document}
 
+\section{Introduction}
+
 \frame{\titlepage}
-\note[itemize]{
-  \item foo
+
+\note[itemize]
+{
+  \item Master's thesis - hardware description language \& compiler Cλash
+  \item Short introduction, then examples
+  \item VHDL is common, but sucks
+  \item Cλash compiler is not embedded, but external
+}
+
+\frame
+{
+  \frametitle{Compiler}
+  \begin{center}
+    \includegraphics[width=10cm]{figures/pipeline}
+  \end{center}
+}
+
+\note[itemize]
+{
+  \item Working prototype, rough edges
+  \item Reuse GHC
+  \item Custom normalization - Reduction system of transformations
+  \item Simple subset of VHDL - existing tooling
+}
+
+\section{Examples}
+
+\frame
+{
+    \frametitle{Multiply-accumulate}
+    \only<1> {
+      \begin{code}
+mac :: Num a => a -> a -> a -> a
+      \end{code}
+    }
+    \only<2-> {
+      \begin{code}
+type Word = SizedWord D16
+mac :: Word -> Word -> Word -> Word
+      \end{code}
+    }
+    \begin{code}
+mac x y acc = acc + x * y
+    \end{code}
+    \smallskip
+    \includegraphics[width=6cm]{figures/mac}
+}
+
+\note[itemize]
+{
+  \item functions are components (operators are functions too!)
+  \item function application is component instantiation
+  \item Polymorphic description 
+  \item But top level must be monomorphic (next frame)
+}
+
+\frame
+{
+    \frametitle{Stateful multiply-accumulate}
+    \begin{code}
+newtype State a = State a
+
+smac :: State Word -> Word -> Word -> (State Word, Word)
+smac (State s) x y = (State s', s')
+  where s' = s + x * y
+    \end{code}
+    \smallskip
+      \includegraphics[width=6cm]{figures/smac}
+}
+
+\note[itemize]
+{
+  \item State is explicit: Argument and result
+  \item Produces register == memory
+}
+
+\frame
+{
+    \frametitle{Simple CPU}
+    \includegraphics[width=11cm]{figures/cpu}
+}
+
+\note[itemize]
+{
+    \item Simple CPU: Instructions are one opcode and four address pairs
+    \item One input line, one output line, no memories
+    \item Small, but basis for real hardware
+    \item Three fixed function units, one multipurpose function unit
+}
+
+\frame
+{
+  \frametitle{Fixed function function units}
+  \begin{code}
+  fu :: (... u ~ n :-: D1 ...) => (a -> a -> t)
+                 -> Vector n a
+                 -> (Index u, Index u)
+                 -> t
+
+  fu op inputs (a1, a2) = op (inputs!a1) (inputs!a2)
+  \end{code}
+  \vspace{2cm}
+
+  \begin{code}
+  fu1 = fu (+)
+  fu2 = fu (-)
+  fu3 = fu (*)
+  \end{code}
+}
+
+\note[itemize]
+{
+  \item fu abstracts the input selection
+  \item fu takes an arbitrary binary operation
+  \item Some context left out
+  \item Vector is a fixed size vector, Index an index
+}
+
+\frame
+{
+  \frametitle{Multi-purpose function unit}
+  \begin{code}
+  data Opcode = Shift | Xor | Equal
+
+  multiop :: Opcode -> Word -> Word -> Word
+  multiop Shift   = shift
+  multiop Xor     = xor
+  multiop Equal   = \a b -> if a == b then 1 else 0
+  \end{code}
+  \vspace{2cm}
+
+  \begin{code}
+  fu0 c = fu (multiop c)
+  \end{code}
+}
+
+\note[itemize]
+{
+  \item multiop takes an opcode and produces a binary operation
+  \item multiop is partially applied to the opcode
+}
+
+\frame
+{
+  \frametitle{The complete CPU}
+  \begin{code}
+type CpuState = State (Vector D4 Word)
+
+cpu :: CpuState
+  -> (Word, Opcode, Vector D4 (Index D6, Index D6))
+  -> (CpuState, Word)
+cpu  (State s) (x, opc, addrs) = (State s', out)
+  where
+    inputs = x +> (0 +> (1 +> s))
+    s' = (fu0 opc inputs (addrs!(0 :: Index D3))) +> (
+         (fu1     inputs (addrs!(1 :: Index D3))) +> (
+         (fu2     inputs (addrs!(2 :: Index D3))) +> (
+         (fu3     inputs (addrs!(3 :: Index D3))) +> (
+         (empty)))))
+    out = last s
+  \end{code}
+}
+
+\note[itemize] {
+  \item Uses partial application for fu0
+  \item Cpu state is one register per fu
+}
+
+\frame
+{
+    \frametitle{Floating point reduction circuit}
+    \includegraphics[width=11cm]{figures/reducer}
+}
+\note[itemize]
+{
+  \item Sums rows of corresponding FP numbers (e.g., sparse matrix
+  multiplication)
+  \item Complexity: Pipelined adder, multiple rows simultaneously
+  \item Big design, implemented in Cλash
+}
+
+\frame
+{
+  \frametitle{Controller function}
+  \begin{code}
+controller (inp1, inp2, pT, from_res_mem) =
+    (arg1, arg2, shift, to_res_mem)
+  where
+    (arg1, arg2, shift, to_res_mem)
+      | valid pT && valid from_res_mem
+        = (pT , from_res_mem , 0, False)
+      | valid pT && valid inp1 && discr pT == discr inp1
+        = (pT , inp1 , 1, False)
+      | valid inp1 && valid inp2 && discr inp1 == discr inp2
+        = (inp1 , inp2 , 2, valid pT)
+      | valid inp1
+        = (inp1 , (True, (0, discr inp1)) , 1, valid pT)
+      | otherwise
+        = (notValid, notValid , 0, valid pT)
+  \end{code}
+}
+
+\note[itemize]
+{
+  \item Elegant implementation of algorithm rules
+}
+
+
+\section{Future}
+
+\frame
+{
+  \frametitle{Future work}
+  \begin{itemize}
+    \item More systematic normalization
+    \item Recursion / normal lists
+    \item Nested state abstraction
+    \item Multiple clock domains / asynchronicity
+    \item Graphical output
+  \end{itemize}
+}
+
+\note[itemize]
+{
+  \item More systematic normalization - proofs
+  \item Recursion / normal lists - Fixed size recursion has problems
+  \item Nested state abstraction - Larger designs can get messy
+  \item Multiple clock domains / asynchronicity - Clock is currently implicit
+  \item Graphical output - For analysis and testing
+  \item Plenty of assignments!
+}
+
+
+\subsection{Thanks}
+\frame
+{
+\vspace{2cm}\centerline{\Huge{Thanks!}}
+\vspace{2cm}
+http://wwwhome.cs.utwente.nl/~baaijcpr/ClaSH/Index.html
+\begin{center}or just\end{center}
+http://google.com/search?q={\bf{}C$\lambda$aSH}\&btnI=I'm Feeling Lucky
 }
 
 \end{document}