From 46e3a9e0c8d1bc5601080c1f8d176a51f9c1db2a Mon Sep 17 00:00:00 2001 From: Matthijs Kooijman Date: Mon, 26 Oct 2009 12:16:30 +0100 Subject: [PATCH] Add two pictures. --- Chapters/HardwareDescription.tex | 106 +++++++++++++++++++++++++------ 1 file changed, 86 insertions(+), 20 deletions(-) diff --git a/Chapters/HardwareDescription.tex b/Chapters/HardwareDescription.tex index 90007ee..0ec41f7 100644 --- a/Chapters/HardwareDescription.tex +++ b/Chapters/HardwareDescription.tex @@ -27,17 +27,52 @@ to the corresponding input port. The output port of the function is also mapped to a signal, which is used as the result of the application. - An example of a simple program using only function application would be: + \in{Example}[ex:And3] shows a simple program using only function + application and the corresponding architecture. + +\startbuffer[And3] +-- | A simple function that returns +-- the and of three bits +and3 :: Bit -> Bit -> Bit -> Bit +and3 a b c = and (and a b) c +\stopbuffer - \starthaskell - -- | A simple function that returns the and of three bits - and3 :: Bit -> Bit -> Bit -> Bit - and3 a b c = and (and a b) c - \stophaskell + \startuseMPgraphic{And3} + save a, b, c, anda, andb, out; - This results in the following hardware: - - TODO: Pretty picture + % I/O ports + newCircle.a(btex $a$ etex) "framed(false)"; + newCircle.b(btex $b$ etex) "framed(false)"; + newCircle.c(btex $c$ etex) "framed(false)"; + newCircle.out(btex $out$ etex) "framed(false)"; + + % Components + newCircle.anda(btex $and$ etex); + newCircle.andb(btex $and$ etex); + + a.c = origin; + b.c = a.c + (0cm, 1cm); + c.c = b.c + (0cm, 1cm); + anda.c = midpoint(a.c, b.c) + (2cm, 0cm); + andb.c = midpoint(b.c, c.c) + (4cm, 0cm); + + out.c = andb.c + (2cm, 0cm); + + % Draw objects and lines + drawObj(a, b, c, anda, andb, out); + + ncarc(a)(anda) "arcangle(-10)"; + ncarc(b)(anda); + ncarc(anda)(andb); + ncarc(c)(andb); + ncline(andb)(out); + \stopuseMPgraphic + + \placeexample[here][ex:And3]{Simple three port and.} + \startcombination[2*1] + {\typebufferhs{And3}}{Haskell description using function applications.} + {\boxedgraphic{And3}}{The architecture described by the Haskell description.} + \stopcombination \subsection{Partial application} It should be obvious that we cannot generate hardware signals for all @@ -47,19 +82,50 @@ represented as a signal or i/o port to a component. From this, we can see that the above translation rules do not apply to a - partial application. Let's look at an example: + partial application. \in{Example}[ex:Quadruple] shows an example use of + partial application and the corresponding architecture. - \starthaskell - -- | Multiply the input word by four. - quadruple :: Word -> Word - quadruple n = mul (mul n) - where - mul = (*) 2 - \stophaskell - - It should be clear that the above code describes the following hardware: +\startbuffer[Quadruple] +-- | Multiply the input word by four. +quadruple :: Word -> Word +quadruple n = mul (mul n) + where + mul = (*) 2 +\stopbuffer - TODO: Pretty picture + \startuseMPgraphic{Quadruple} + save in, two, mula, mulb, out; + + % I/O ports + newCircle.in(btex $n$ etex) "framed(false)"; + newCircle.two(btex $2$ etex) "framed(false)"; + newCircle.out(btex $out$ etex) "framed(false)"; + + % Components + newCircle.mula(btex $\times$ etex); + newCircle.mulb(btex $\times$ etex); + + two.c = origin; + in.c = two.c + (0cm, 1cm); + mula.c = in.c + (2cm, 0cm); + mulb.c = mula.c + (2cm, 0cm); + out.c = mulb.c + (2cm, 0cm); + + % Draw objects and lines + drawObj(in, two, mula, mulb, out); + + nccurve(two)(mula) "angleA(0)", "angleB(45)"; + nccurve(two)(mulb) "angleA(0)", "angleB(45)"; + ncline(in)(mula); + ncline(mula)(mulb); + ncline(mulb)(out); + \stopuseMPgraphic + + \placeexample[here][ex:Quadruple]{Simple three port and.} + \startcombination[2*1] + {\typebufferhs{Quadruple}}{Haskell description using function applications.} + {\boxedgraphic{Quadruple}}{The architecture described by the Haskell description.} + \stopcombination Here, the definition of mul is a partial function application: It applies \hs{2 :: Word} to the function \hs{(*) :: Word -> Word -> Word} resulting in -- 2.30.2