be converted to an actual netlist format by an (optimizing) \VHDL\ synthesis
tool.
-Besides trivial circuits such as variants of both the FIR filter and the
-simple CPU shown in \Cref{sec:usecases}, the \CLaSH\ compiler has also been
-shown to work for non-trivial descriptions. \CLaSH\ has been able to
+Besides trivial circuits such as variants of both the \acro{FIR} filter and
+the simple \acro{CPU} shown in \Cref{sec:usecases}, the \CLaSH\ compiler has
+also been shown to work for non-trivial descriptions. \CLaSH\ has been able to
successfully translate the functional description of a streaming reduction
circuit~\cite{reductioncircuit} for floating point numbers.
compiler. The \CLaSH\ compiler has generic translation rules to
translated the user-defined types described below.
- The \CLaSH compiler is able to infer unspecified types,
+ The \CLaSH\ compiler is able to infer unspecified types,
meaning that a developer does not have to annotate every function with a
- type signature (though it is good practice to do so anyway).
+ type signature (even if it is good practice to do so).
% Translation of two most basic functional concepts has been
% discussed: function application and choice. Before looking further
the rest of paper is: \hs{[a|n]}. Where the \hs{a} is the element
type, and \hs{n} is the length of the vector. Note that this is
a notation used in this paper only, vectors are slightly more
- elaborate in real \CLaSH programs.
+ verbose in real \CLaSH\ descriptions.
% The state type of an 8 element register bank would then for example
% be:
which have no direct translation to hardware, such as polymorphic types and
function-valued arguments. Such a description needs to be transformed to a
\emph{normal form}, which only contains properties that have a direct
-translation. The second stage of the compiler, the \emph{normalization} phase
+translation. The second stage of the compiler, the \emph{normalization} phase,
exhaustively applies a set of \emph{meaning-preserving} transformations on the
\emph{Core} description until this description is in a \emph{normal form}.
This set of transformations includes transformations typically found in
\VHDL\ resembles an actual netlist description and not idiomatic \VHDL.
\section{Use cases}
-
-\subsection{FIR Filter}
\label{sec:usecases}
+\subsection{FIR Filter}
As an example of a common hardware design where the use of higher-order
functions leads to a very natural description is a \acro{FIR} filter, which is
basically the dot-product of two vectors:
\end{code}
Where the vector \hs{hs} contains the \acro{FIR} coefficients and the vector
-\hs{xs} contains the latest input sample in front and older samples behind.
-The code for the shift (\hs{>>}) operator that adds the new input sample
+\hs{xs} contains the previous input sample in front and older samples behind.
+The code for the shift (\hs{>>}) operator, that adds the new input sample
(\hs{x}) to the list of previous input samples (\hs{xs}) and removes the
-oldest sample is shown below:
+oldest sample, is shown below:
\begin{code}
x >> xs = x +> init xs
\subsection{Higher order CPU}
\begin{code}
-type FuState = State Word
-fu :: (a -> a -> a)
- -> [a]:n
- -> (RangedWord n, RangedWord n)
- -> FuState
- -> (FuState, a)
-fu op inputs (addr1, addr2) (State out) =
- (State out', out)
+fu op inputs (addr1, addr2) = regIn
where
- in1 = inputs!addr1
- in2 = inputs!addr2
- out' = op in1 in2
+ in1 = inputs!addr1
+ in2 = inputs!addr2
+ regIn = op in1 in2
\end{code}
\begin{code}
-type CpuState = State [FuState]:4
-cpu :: Word
- -> [(RangedWord 7, RangedWord 7)]:4
- -> CpuState
- -> (CpuState, Word)
-cpu input addrs (State fuss) =
- (State fuss', out)
+cpu :: Word -> [(Index 6, Index 6) | 4]
+ -> State [Word | 4] -> (State [Word | 4], Word)
+cpu input addrs (State fuss) = (State fuss', out)
where
- fures = [ fu const inputs!0 fuss!0
- , fu (+) inputs!1 fuss!1
- , fu (-) inputs!2 fuss!2
- , fu (*) inputs!3 fuss!3
- ]
- (fuss', outputs) = unzip fures
- inputs = 0 +> 1 +> input +> outputs
- out = head outputs
+ fuss' = [ fu const inputs (addrs!0) (fuss!0)
+ , fu (+) inputs (addrs!1) (fuss!1)
+ , fu (-) inputs (addrs!2) (fuss!2)
+ , fu (*) inputs (addrs!3) (fuss!3)
+ ]
+ inputs = 0 +> (1 +> (input +> fuss))
+ out = head fuss
\end{code}
\section{Related work}
+This section describes the features of existing (functional) hardware
+description languages and highlights the advantages that this research has
+over existing work.
+
Many functional hardware description languages have been developed over the
years. Early work includes such languages as $\mu$\acro{FP}~\cite{muFP}, an
extension of Backus' \acro{FP} language to synchronous streams, designed
functional language \acro{ML}, and has support for polymorphic types and
higher-order functions. Published work suggests that there is no direct
simulation support for \acro{HML}, but that a description in \acro{HML} has to
-be translated to \VHDL\ and that the translated description can than be
+be translated to \VHDL\ and that the translated description can then be
simulated in a \VHDL\ simulator. Also not all of the mentioned language
features of \acro{HML} could be translated to hardware. The \CLaSH\ compiler
on the other hand can correctly translate all of the language constructs
The merits of polymorphic typing, combined with higher-order functions, are
now also recognized in the `main-stream' hardware description languages,
-exemplified by the new \VHDL-2008 standard~\cite{VHDL2008}. \VHDL-2008 support for generics has been extended to types, allowing a developer to describe
-polymorphic components. Note that those types still require an explicit
-generic map, whereas types can be automatically inferred in \CLaSH.
+exemplified by the new \VHDL-2008 standard~\cite{VHDL2008}. \VHDL-2008 support
+for generics has been extended to types and subprograms, allowing a developer to describe components with polymorphic ports and function-valued arguments. Note that the types and subprograms still require an explicit generic map, whereas types can be automatically inferred, and function-values can be automatically propagated by the \CLaSH\ compiler. There are also no (generally available) \VHDL\ synthesis tools that currently support the \VHDL-2008 standard, and thus the synthesis of polymorphic types and function-valued arguments.
% Wired~\cite{Wired},, T-Ruby~\cite{T-Ruby}, Hydra~\cite{Hydra}.
%
% use section* for acknowledgement
-\section*{Acknowledgment}
-
-
-The authors would like to thank...
-
-
-
-
+% \section*{Acknowledgment}
+%
+% The authors would like to thank...
% trigger a \newpage just before the given reference
% number - used to balance the columns on the last page
projects / matthijs / master-project / dsd-paper.git / blobdiff