From: Matthijs Kooijman Date: Mon, 31 Aug 2009 17:12:16 +0000 (+0200) Subject: Add content to a bunch more transformations. X-Git-Tag: final-thesis~270 X-Git-Url: https://git.stderr.nl/gitweb?p=matthijs%2Fmaster-project%2Freport.git;a=commitdiff_plain;h=f788ab862921512ae3fc7969ea55ca6094427472 Add content to a bunch more transformations. --- diff --git a/Chapters/Normalization.tex b/Chapters/Normalization.tex index e609cb3..059ba43 100644 --- a/Chapters/Normalization.tex +++ b/Chapters/Normalization.tex @@ -292,17 +292,147 @@ in \transexample{Extended β-reduction}{from}{to} \subsection{Let derecursification} +This transformation is meant to make lets non-recursive whenever possible. +This might allow other optimizations to do their work better. TODO: Why is +this needed exactly? \subsection{Let flattening} -This transform turns two nested lets (\lam{let x = (let ... in ...) in -...}) into a single let. +This transformation puts nested lets in the same scope, by lifting the +binding(s) of the inner let into a new let around the outer let. Eventually, +this will cause all let bindings to appear in the same scope (they will all be +in scope for the function return value). + +Note that this transformation does not try to be smart when faced with +recursive lets, it will just leave the lets recursive (possibly joining a +recursive and non-recursive let into a single recursive let). The let +rederursification transformation will do this instead. + +\starttrans +letnonrec x = (let bindings in M) in N +------------------------------------------ +let bindings in (letnonrec x = M) in N +\stoptrans + +\starttrans +letrec + \vdots + x = (let bindings in M) + \vdots +in + N +------------------------------------------ +letrec + \vdots + bindings + x = M + \vdots +in + N +\stoptrans + +\startbuffer[from] +let + a = letrec + x = 1 + y = 2 + in + x + y +in + letrec + b = let c = 3 in a + c + d = 4 + in + d + b +\stopbuffer +\startbuffer[to] +letrec + x = 1 + y = 2 +in + let + a = x + y + in + letrec + c = 3 + b = a + c + d = 4 + in + d + b +\stopbuffer + +\transexample{Let flattening}{from}{to} \subsection{Empty let removal} +This transformation is simple: It removes recursive lets that have no bindings +(which usually occurs when let derecursification removes the last binding from +it). + +\starttrans +letrec in M +-------------- +M +\stoptrans \subsection{Simple let binding removal} -This transforms inlines simple let bindings (\eg a = b). +This transformation inlines simple let bindings (\eg a = b). + +This transformation is not needed to get into normal form, but makes the +resulting VHDL a lot shorter. + +\starttrans +letnonrec + a = b +in + M +----------------- +M[b/a] +\stoptrans + +\starttrans +letrec + \vdots + a = b + \vdots +in + M +----------------- +let + \vdots + \vdots +in + M[b/a] +\stoptrans \subsection{Unused let binding removal} +This transformation removes let bindings that are never used. Usually, +the desugarer introduces some unused let bindings. + +This normalization pass should really be unneeded to get into normal form +(since ununsed bindings are not forbidden by the normal form), but in practice +the desugarer or simplifier emits some unused bindings that cannot be +normalized (e.g., calls to a \type{PatError} (TODO: Check this name)). Also, +this transformation makes the resulting VHDL a lot shorter. + +\starttrans +let a = E in M +---------------------------- \lam{a} does not occur free in \lam{M} +M +\stoptrans + +\starttrans +letrec + \vdots + a = E + \vdots +in + M +---------------------------- \lam{a} does not occur free in \lam{M} +letrec + \vdots + \vdots +in + M +\stoptrans \subsection{Non-representable binding inlining} This transform inlines let bindings of a funtion type. TODO: This should