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<h3>
Sebastian Graf pushed to branch wip/T18870
at <a href="https://gitlab.haskell.org/ghc/ghc">Glasgow Haskell Compiler / GHC</a>
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<h4>
Commits:
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<ul>
<li>
<strong><a href="https://gitlab.haskell.org/ghc/ghc/-/commit/c9bae9247e6a455d7f4ee4d8dc5f60fc0924acf8">c9bae924</a></strong>
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<span>by Sebastian Graf</span>
<i>at 2020-10-21T19:46:29+02:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Arity: Rework `ArityType` to fix monotonicity (#18870)
As we found out in #18870, `andArityType` is not monotone, with
potentially severe consequences for termination of fixed-point
iteration. That showed in an abundance of "Exciting arity" DEBUG
messages that are emitted whenever we do more than one step in
fixed-point iteration.
The solution necessitates also recording `OneShotInfo` info for
`ABot` arity type. Thus we get the following definition for `ArityType`:
```
data ArityType
= ATop
| ALam OneShotInfo ArityType
| ABot
```
The majority of changes in this patch are the result of refactoring use
sites of `ArityType` to match the new definition.
The regression test `T18870` asserts that we indeed don't emit any DEBUG
output anymore for a function where we previously would have.
Fixes #18870.
</pre>
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<h4>5 changed files:</h4>
<ul>
<li class="file-stats">
<a href="#c3967bb9d3e8f5aae2dd111b5a335b48c21c1999">
compiler/GHC/Core/Opt/Arity.hs
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<li class="file-stats">
<a href="#f168a93cde5e2aec2441d6331dfe500172df4af3">
compiler/GHC/Core/Opt/Simplify.hs
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<li class="file-stats">
<a href="#48fbb5cdea308650de5756521feb28ec68819b9b">
compiler/GHC/Core/Opt/Simplify/Utils.hs
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<li class="file-stats">
<a href="#f4d25a96cf3db4c0e06615b13bb644bf49697809">
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+
testsuite/tests/arityanal/should_compile/T18870.hs
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<li class="file-stats">
<a href="#d67c329c07c6c486d54ae87ffc8be9188c198bcc">
testsuite/tests/arityanal/should_compile/all.T
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<h4>Changes:</h4>
<li id="c3967bb9d3e8f5aae2dd111b5a335b48c21c1999">
<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/c9bae9247e6a455d7f4ee4d8dc5f60fc0924acf8#c3967bb9d3e8f5aae2dd111b5a335b48c21c1999"><strong>compiler/GHC/Core/Opt/Arity.hs</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -18,8 +18,8 @@ module GHC.Core.Opt.Arity</td>
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<pre style="margin: 0;"> <span id="LC18" class="line" lang="haskell"> <span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">exprBotStrictness_maybe</span></span>
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<pre style="margin: 0;"> <span id="LC19" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- ** ArityType</span></span>
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<pre style="margin: 0;">-<span id="LC21" class="line" lang="haskell"> <span class="p">,</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span><span class="p"><span class="idiff left">(</span></span><span class="o" style="font-weight: 600;"><span class="idiff">..</span></span><span class="p"><span class="idiff">),</span></span><span class="idiff"> </span><span class="nf" style="color: #900; font-weight: 600;"><span class="idiff">expandableArityType</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nf" style="color: #900; font-weight: 600;"><span class="idiff right">arityTypeArity</span></span></span>
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<pre style="margin: 0;">-<span id="LC22" class="line" lang="haskell"> <span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">maxWithArity</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">isBotArityType</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">idArityType</span></span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="haskell"> <span class="p">,</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span><span class="p"><span class="idiff left">,</span></span><span class="idiff"> </span><span class="nf" style="color: #900; font-weight: 600;"><span class="idiff">mkBotArityType</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nf" style="color: #900; font-weight: 600;"><span class="idiff">mkTopArityType</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nf" style="color: #900; font-weight: 600;"><span class="idiff right">expandableArityType</span></span></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="haskell"> <span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;"><span class="idiff left">arityTypeArity</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff right"> </span><span class="nf" style="color: #900; font-weight: 600;">maxWithArity</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">isBotArityType</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">idArityType</span></span>
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<pre style="margin: 0;"> <span id="LC23" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC24" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- ** Join points</span></span>
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<pre style="margin: 0;"> <span id="LC25" class="line" lang="haskell"> <span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">etaExpandToJoinPoint</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">etaExpandToJoinPointRule</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -458,7 +458,7 @@ with function exprEtaExpandArity).</td>
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<pre style="margin: 0;"> <span id="LC458" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Here is what the fields mean. If an arbitrary expression 'f' has</span></span>
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<pre style="margin: 0;"> <span id="LC459" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">ArityType 'at', then</span></span>
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<pre style="margin: 0;"> <span id="LC460" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC461" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> * If at = <span class="idiff left right">ABot n</span>, then (f x1..xn) definitely diverges. Partial</span></span>
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<pre style="margin: 0;">+<span id="LC461" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> * If at = <span class="idiff left right">\o1..on.⊥</span>, then (f x1..xn) definitely diverges. Partial</span></span>
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<pre style="margin: 0;"> <span id="LC462" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> applications to fewer than n args may *or may not* diverge.</span></span>
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<pre style="margin: 0;"> <span id="LC463" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC464" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> We allow ourselves to eta-expand bottoming functions, even</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -466,14 +466,13 @@ ArityType 'at', then</td>
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<pre style="margin: 0;"> <span id="LC466" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> let x = <expensive> in \y. error (g x y)</span></span>
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<pre style="margin: 0;"> <span id="LC467" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ==> \y. let x = <expensive> in error (g x y)</span></span>
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<pre style="margin: 0;"> <span id="LC468" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC469" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> * If at = ATop as, and n=length as,</span></span>
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<pre style="margin: 0;">-<span id="LC470" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> then expanding 'f' to (\x1..xn. f x1 .. xn) loses no sharing,</span></span>
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<pre style="margin: 0;">-<span id="LC471" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> assuming the calls of f respect the one-shot-ness of</span></span>
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<pre style="margin: 0;">-<span id="LC472" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> its definition.</span></span>
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<pre style="margin: 0;">+<span id="LC469" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> * If at = \o1..on.T, then expanding 'f' to (\x1..xn. f x1 ..</span></span>
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<pre style="margin: 0;">+<span id="LC470" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> xn) loses no sharing, assuming the calls of f respect the one-shot-ness</span></span>
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<pre style="margin: 0;">+<span id="LC471" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> o1..on of its definition.</span></span>
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<pre style="margin: 0;"> <span id="LC472" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC473" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> NB 'f' is an arbitrary expression, eg (f = g e1 e2). This 'f'</span></span>
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<pre style="margin: 0;"> <span id="LC474" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> can have ArityType as ATop, with length as > 0, only if e1 e2 are</span></span>
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<pre style="margin: 0;">-<span id="LC476" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> themselves.</span></span>
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<pre style="margin: 0;">+<span id="LC475" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> themselves.<span class="idiff left right"> ??? cheap? But actually the arity of g is important here.</span></span></span>
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<pre style="margin: 0;"> <span id="LC476" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC477" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> * In both cases, f, (f x1), ... (f x1 ... f(n-1)) are definitely</span></span>
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<pre style="margin: 0;"> <span id="LC478" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> really functions, or bottom, but *not* casts from a data type, in</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -485,62 +484,90 @@ ArityType 'at', then</td>
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<pre style="margin: 0;"> <span id="LC484" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Example:</span></span>
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<pre style="margin: 0;"> <span id="LC485" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> f = \x\y. let v = <expensive> in</span></span>
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<pre style="margin: 0;"> <span id="LC486" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> \s(one-shot) \t(one-shot). blah</span></span>
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<pre style="margin: 0;">-<span id="LC488" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> 'f' has <span class="idiff left right">ArityType [ManyShot,ManyShot,OneShot,OneShot]</span></span></span>
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<pre style="margin: 0;">+<span id="LC487" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> 'f' has <span class="idiff left right">arity type \??11.T</span></span></span>
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<pre style="margin: 0;"> <span id="LC488" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> The one-shot-ness means we can, in effect, push that</span></span>
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<pre style="margin: 0;"> <span id="LC489" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> 'let' inside the \st.</span></span>
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<pre style="margin: 0;"> <span id="LC490" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC491" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC492" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Suppose f = \xy. x+y</span></span>
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<pre style="margin: 0;">-<span id="LC494" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Then f :: AT [False,False] ATop</span></span>
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<pre style="margin: 0;">-<span id="LC495" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> f v :: AT [False] ATop</span></span>
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<pre style="margin: 0;">-<span id="LC496" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> f <expensive> :: AT [] ATop</span></span>
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<pre style="margin: 0;">-<span id="LC497" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC498" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">-------------------- Main arity code ----------------------------</span></span>
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<pre style="margin: 0;">+<span id="LC493" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Then f :: \??.T</span></span>
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<pre style="margin: 0;">+<span id="LC494" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> f v :: \?.T</span></span>
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<pre style="margin: 0;">+<span id="LC495" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> f <expensive> :: T</span></span>
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<pre style="margin: 0;"> <span id="LC496" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">-}</span></span>
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<pre style="margin: 0;"> <span id="LC497" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC498" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC499" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">data</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [ArityType]</span></span>
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<pre style="margin: 0;">-<span id="LC503" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span><span class="p">]</span></span>
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<pre style="margin: 0;">-<span id="LC504" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="kt" style="color: #458; font-weight: 600;">Arity</span></span>
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<pre style="margin: 0;">+<span id="LC500" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span></span>
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<pre style="margin: 0;">+<span id="LC501" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="o" style="font-weight: 600;">!</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span> <span class="o" style="font-weight: 600;">!</span><span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;">+<span id="LC502" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span></span>
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<pre style="margin: 0;"> <span id="LC503" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">deriving</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">Eq</span> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC504" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- There is always an explicit lambda</span></span>
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<pre style="margin: 0;"> <span id="LC505" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- to justify the [OneShot], or the Arity</span></span>
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<pre style="margin: 0;"> <span id="LC506" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC507" class="line" lang="haskell"><span class="n" style="color: #333;">mkBotArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span><span class="p">]</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;">+<span id="LC508" class="line" lang="haskell"><span class="n" style="color: #333;">mkBotArityType</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">foldr</span> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span></span>
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<pre style="margin: 0;">+<span id="LC509" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC510" class="line" lang="haskell"><span class="n" style="color: #333;">mkTopArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span><span class="p">]</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;">+<span id="LC511" class="line" lang="haskell"><span class="n" style="color: #333;">mkTopArityType</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">foldr</span> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span></span>
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<pre style="margin: 0;">+<span id="LC512" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC513" class="line" lang="haskell"><span class="cd">-- | Returns two components:</span></span>
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<pre style="margin: 0;">+<span id="LC514" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- * A flag denoting whether the arity type ends in 'ABot' (and not 'ATop')</span></span>
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<pre style="margin: 0;">+<span id="LC515" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- * A list of 'OneShotInfo's from 'ALam's we encountered along the way</span></span>
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<pre style="margin: 0;">+<span id="LC516" class="line" lang="haskell"><span class="n" style="color: #333;">splitArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Bool</span><span class="p">,</span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span><span class="p">])</span></span>
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<pre style="margin: 0;">+<span id="LC517" class="line" lang="haskell"><span class="n" style="color: #333;">splitArityType</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">at</span> <span class="n" style="color: #333;">id</span></span>
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<pre style="margin: 0;">+<span id="LC518" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;">+<span id="LC519" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">True</span><span class="p">,</span> <span class="n" style="color: #333;">oss</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC520" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">False</span><span class="p">,</span> <span class="n" style="color: #333;">oss</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC521" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="n" style="color: #333;">os</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">at</span> <span class="p">((</span><span class="n" style="color: #333;">os</span><span class="o" style="font-weight: 600;">:</span><span class="p">)</span> <span class="o" style="font-weight: 600;">.</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC522" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC523" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">instance</span> <span class="kt" style="color: #458; font-weight: 600;">Outputable</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;">-<span id="LC510" class="line" lang="haskell"> <span class="n" style="color: #333;">ppr</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">os</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"ATop"</span> <span class="o" style="font-weight: 600;"><></span> <span class="n" style="color: #333;">parens</span> <span class="p">(</span><span class="n" style="color: #333;">ppr</span> <span class="p">(</span><span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">os</span><span class="p">))</span></span>
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<pre style="margin: 0;">-<span id="LC511" class="line" lang="haskell"> <span class="n" style="color: #333;">ppr</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"ABot"</span> <span class="o" style="font-weight: 600;"><></span> <span class="n" style="color: #333;">parens</span> <span class="p">(</span><span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">n</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC524" class="line" lang="haskell"> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;">+<span id="LC525" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">null</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pp_bot</span> <span class="n" style="color: #333;">is_bot</span></span>
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526
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<pre style="margin: 0;">+<span id="LC526" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">char</span> <span class="sc" style="color: #d14;">'</span><span class="se" style="color: #d14;">\\</span><span class="sc" style="color: #d14;">'</span> <span class="o" style="font-weight: 600;"><></span> <span class="n" style="color: #333;">pp_oss</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;"><></span> <span class="n" style="color: #333;">dot</span> <span class="o" style="font-weight: 600;"><></span> <span class="n" style="color: #333;">pp_bot</span> <span class="n" style="color: #333;">is_bot</span></span>
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<pre style="margin: 0;">+<span id="LC527" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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528
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<pre style="margin: 0;">+<span id="LC528" class="line" lang="haskell"> <span class="p">(</span><span class="n" style="color: #333;">is_bot</span><span class="p">,</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">splitArityType</span> <span class="n" style="color: #333;">at</span></span>
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529
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<pre style="margin: 0;">+<span id="LC529" class="line" lang="haskell"> <span class="n" style="color: #333;">pp_bot</span> <span class="kt" style="color: #458; font-weight: 600;">True</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">char</span> <span class="sc" style="color: #d14;">'⊥'</span></span>
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530
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<pre style="margin: 0;">+<span id="LC530" class="line" lang="haskell"> <span class="n" style="color: #333;">pp_bot</span> <span class="kt" style="color: #458; font-weight: 600;">False</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">char</span> <span class="sc" style="color: #d14;">'T'</span></span>
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<pre style="margin: 0;">+<span id="LC531" class="line" lang="haskell"> <span class="n" style="color: #333;">pp_oss</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">empty</span></span>
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<pre style="margin: 0;">+<span id="LC532" class="line" lang="haskell"> <span class="n" style="color: #333;">pp_oss</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span> <span class="o" style="font-weight: 600;">:</span><span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">char</span> <span class="sc" style="color: #d14;">'1'</span> <span class="o" style="font-weight: 600;"><></span> <span class="n" style="color: #333;">pp_oss</span> <span class="n" style="color: #333;">oss</span></span>
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<pre style="margin: 0;">+<span id="LC533" class="line" lang="haskell"> <span class="n" style="color: #333;">pp_oss</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">NoOneShotInfo</span><span class="o" style="font-weight: 600;">:</span><span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">char</span> <span class="sc" style="color: #d14;">'?'</span> <span class="o" style="font-weight: 600;"><></span> <span class="n" style="color: #333;">pp_oss</span> <span class="n" style="color: #333;">oss</span></span>
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<pre style="margin: 0;">+<span id="LC534" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC535" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeOneShots</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span><span class="p">]</span></span>
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<pre style="margin: 0;">+<span id="LC536" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeOneShots</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">snd</span> <span class="o" style="font-weight: 600;">.</span> <span class="n" style="color: #333;">splitArityType</span></span>
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<pre style="margin: 0;"> <span id="LC537" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC538" class="line" lang="haskell"><span class="cd">-- | The number of value args for the arity type</span></span>
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<pre style="margin: 0;"> <span id="LC539" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeArity</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Arity</span></span>
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<pre style="margin: 0;">-<span id="LC514" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- The number of value args for the arity type</span></span>
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515
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<pre style="margin: 0;">-<span id="LC515" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeArity</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">oss</span></span>
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516
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<pre style="margin: 0;">-<span id="LC516" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeArity</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">ar</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ar</span></span>
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<pre style="margin: 0;">+<span id="LC540" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeArity</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">length</span> <span class="o" style="font-weight: 600;">.</span> <span class="n" style="color: #333;">arityTypeOneShots</span></span>
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<pre style="margin: 0;"> <span id="LC541" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC542" class="line" lang="haskell"><span class="cd">-- | True <=> eta-expansion will add at least one lambda</span></span>
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<pre style="margin: 0;"> <span id="LC543" class="line" lang="haskell"><span class="n" style="color: #333;">expandableArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Bool</span></span>
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<pre style="margin: 0;">-<span id="LC519" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- True <=> eta-expansion will add at least one lambda</span></span>
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<pre style="margin: 0;">-<span id="LC520" class="line" lang="haskell"><span class="n" style="color: #333;">expandableArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">not</span> <span class="p">(</span><span class="n" style="color: #333;">null</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC521" class="line" lang="haskell"><span class="n" style="color: #333;">expandableArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">ar</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ar</span> <span class="o" style="font-weight: 600;">/=</span> <span class="mi" style="color: #099;">0</span></span>
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<pre style="margin: 0;">+<span id="LC544" class="line" lang="haskell"><span class="n" style="color: #333;">expandableArityType</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">arityTypeArity</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">/=</span> <span class="mi" style="color: #099;">0</span></span>
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<pre style="margin: 0;"> <span id="LC545" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC546" class="line" lang="haskell"><span class="n" style="color: #333;">isBotArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Bool</span></span>
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<pre style="margin: 0;">-<span id="LC524" class="line" lang="haskell"><span class="n" style="color: #333;">isBotArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="p">{})</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">True</span></span>
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<pre style="margin: 0;">-<span id="LC525" class="line" lang="haskell"><span class="n" style="color: #333;">isBotArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">{})</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">False</span></span>
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<pre style="margin: 0;">-<span id="LC526" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC527" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeOneShots</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span><span class="p">]</span></span>
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<pre style="margin: 0;">-<span id="LC528" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeOneShots</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">oss</span></span>
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<pre style="margin: 0;">-<span id="LC529" class="line" lang="haskell"><span class="n" style="color: #333;">arityTypeOneShots</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">ar</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">replicate</span> <span class="n" style="color: #333;">ar</span> <span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span></span>
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<pre style="margin: 0;">-<span id="LC530" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- If we are diveging or throwing an exception anyway</span></span>
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<pre style="margin: 0;">-<span id="LC531" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- it's fine to push redexes inside the lambdas</span></span>
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<pre style="margin: 0;">-<span id="LC532" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC533" class="line" lang="haskell"><span class="n" style="color: #333;">botArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;">-<span id="LC534" class="line" lang="haskell"><span class="n" style="color: #333;">botArityType</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="mi" style="color: #099;">0</span> <span class="c1" style="color: #998; font-style: italic;">-- Unit for andArityType</span></span>
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<pre style="margin: 0;">+<span id="LC547" class="line" lang="haskell"><span class="n" style="color: #333;">isBotArityType</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fst</span> <span class="o" style="font-weight: 600;">.</span> <span class="n" style="color: #333;">splitArityType</span></span>
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<pre style="margin: 0;"> <span id="LC548" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC549" class="line" lang="haskell"><span class="cd">-- | Expand a non-bottoming arity type so that it has at least the given arity.</span></span>
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<pre style="margin: 0;"> <span id="LC550" class="line" lang="haskell"><span class="n" style="color: #333;">maxWithArity</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Arity</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;">-<span id="LC537" class="line" lang="haskell"><span class="n" style="color: #333;">maxWithArity</span> <span class="n" style="color: #333;">at</span><span class="o" style="font-weight: 600;">@</span><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="p">{})</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;">-<span id="LC538" class="line" lang="haskell"><span class="n" style="color: #333;">maxWithArity</span> <span class="n" style="color: #333;">at</span><span class="o" style="font-weight: 600;">@</span><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="n" style="color: #333;">ar</span></span>
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<pre style="margin: 0;">-<span id="LC539" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">oss</span> <span class="p">`</span><span class="n" style="color: #333;">lengthAtLeast</span><span class="p">`</span> <span class="n" style="color: #333;">ar</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;">-<span id="LC540" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="n" style="color: #333;">take</span> <span class="n" style="color: #333;">ar</span> <span class="p">(</span><span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;">++</span> <span class="n" style="color: #333;">repeat</span> <span class="kt" style="color: #458; font-weight: 600;">NoOneShotInfo</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC551" class="line" lang="haskell"><span class="n" style="color: #333;">maxWithArity</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="n" style="color: #333;">os</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="o" style="font-weight: 600;">!</span><span class="n" style="color: #333;">ar</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="n" style="color: #333;">os</span> <span class="p">(</span><span class="n" style="color: #333;">maxWithArity</span> <span class="n" style="color: #333;">at</span> <span class="p">(</span><span class="n" style="color: #333;">ar</span><span class="o" style="font-weight: 600;">-</span><span class="mi" style="color: #099;">1</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC552" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- The following case is the reason we go through all the trouble.</span></span>
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<pre style="margin: 0;">+<span id="LC553" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- It expands the arity type with enough NoOneShotInfo.</span></span>
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<pre style="margin: 0;">+<span id="LC554" class="line" lang="haskell"><span class="n" style="color: #333;">maxWithArity</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">ar</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ar</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">0</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">iterate</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">NoOneShotInfo</span><span class="p">)</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="o" style="font-weight: 600;">!!</span> <span class="n" style="color: #333;">ar</span></span>
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<pre style="margin: 0;">+<span id="LC555" class="line" lang="haskell"><span class="n" style="color: #333;">maxWithArity</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">!</span><span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;">+<span id="LC556" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC557" class="line" lang="haskell"><span class="cd">-- | Trim an arity type so that it has at most the given arity.</span></span>
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<pre style="margin: 0;">+<span id="LC558" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Any excess 'ALam's are truncated to 'ATop', even if they end in 'ABot'.</span></span>
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<pre style="margin: 0;">+<span id="LC559" class="line" lang="haskell"><span class="n" style="color: #333;">minWithArity</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Arity</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;">+<span id="LC560" class="line" lang="haskell"><span class="n" style="color: #333;">minWithArity</span> <span class="n" style="color: #333;">at</span> <span class="n" style="color: #333;">ar</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">at</span> <span class="n" style="color: #333;">ar</span></span>
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<pre style="margin: 0;">+<span id="LC561" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;">+<span id="LC562" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="mi" style="color: #099;">0</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span></span>
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<pre style="margin: 0;">+<span id="LC563" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="kr" style="font-weight: 600;">_</span> <span class="mi" style="color: #099;">0</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span></span>
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564
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<pre style="margin: 0;">+<span id="LC564" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="n" style="color: #333;">os</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="n" style="color: #333;">ar</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="n" style="color: #333;">os</span> <span class="p">(</span><span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">at</span> <span class="p">(</span><span class="n" style="color: #333;">ar</span><span class="o" style="font-weight: 600;">-</span><span class="mi" style="color: #099;">1</span><span class="p">))</span></span>
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565
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<pre style="margin: 0;">+<span id="LC565" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">at</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at</span></span>
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566
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<pre style="margin: 0;"> <span id="LC566" class="line" lang="haskell"></span>
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542
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<pre style="margin: 0;">-<span id="LC542" class="line" lang="haskell"><span class="n" style="color: #333;">vanillaArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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543
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<pre style="margin: 0;">-<span id="LC543" class="line" lang="haskell"><span class="n" style="color: #333;">vanillaArityType</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span> <span class="c1" style="color: #998; font-style: italic;">-- Totally uninformative</span></span>
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567
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<pre style="margin: 0;">+<span id="LC567" class="line" lang="haskell"><span class="n" style="color: #333;">takeWhileOneShot</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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568
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<pre style="margin: 0;">+<span id="LC568" class="line" lang="haskell"><span class="n" style="color: #333;">takeWhileOneShot</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">NoOneShotInfo</span> <span class="kr" style="font-weight: 600;">_</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span></span>
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569
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<pre style="margin: 0;">+<span id="LC569" class="line" lang="haskell"><span class="n" style="color: #333;">takeWhileOneShot</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span> <span class="p">(</span><span class="n" style="color: #333;">takeWhileOneShot</span> <span class="n" style="color: #333;">at</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC570" class="line" lang="haskell"><span class="n" style="color: #333;">takeWhileOneShot</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at</span></span>
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571
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<pre style="margin: 0;"> <span id="LC571" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC572" class="line" lang="haskell"><span class="cd">-- | The Arity returned is the number of value args the</span></span>
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<pre style="margin: 0;"> <span id="LC573" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- expression can be applied to without doing much work</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -551,8 +578,9 @@ exprEtaExpandArity dflags e = arityType (etaExpandArityEnv dflags) e</td>
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<pre style="margin: 0;"> <span id="LC578" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC579" class="line" lang="haskell"><span class="n" style="color: #333;">getBotArity</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Maybe</span> <span class="kt" style="color: #458; font-weight: 600;">Arity</span></span>
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580
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<pre style="margin: 0;"> <span id="LC580" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Arity of a divergent function</span></span>
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554
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<pre style="margin: 0;">-<span id="LC554" class="line" lang="haskell"><span class="n" style="color: #333;">getBotArity</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="n" style="color: #333;">n</span></span>
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555
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<pre style="margin: 0;">-<span id="LC555" class="line" lang="haskell"><span class="n" style="color: #333;">getBotArity</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Nothing</span></span>
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581
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<pre style="margin: 0;">+<span id="LC581" class="line" lang="haskell"><span class="n" style="color: #333;">getBotArity</span> <span class="n" style="color: #333;">at</span></span>
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582
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<pre style="margin: 0;">+<span id="LC582" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">True</span><span class="p">,</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">splitArityType</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">oss</span></span>
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583
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<pre style="margin: 0;">+<span id="LC583" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Nothing</span></span>
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584
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<pre style="margin: 0;"> <span id="LC584" class="line" lang="haskell"></span>
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557
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585
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<pre style="margin: 0;"> <span id="LC585" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">----------------------</span></span>
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558
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586
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<pre style="margin: 0;"> <span id="LC586" class="line" lang="haskell"><span class="n" style="color: #333;">findRhsArity</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">DynFlags</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Id</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">CoreExpr</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Arity</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -563,17 +591,16 @@ findRhsArity :: DynFlags -> Id -> CoreExpr -> Arity -> ArityType</td>
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563
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591
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<pre style="margin: 0;"> <span id="LC591" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- so it is safe to expand e ==> (\x1..xn. e x1 .. xn)</span></span>
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564
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592
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<pre style="margin: 0;"> <span id="LC592" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- (b) if is_bot=True, then e applied to n args is guaranteed bottom</span></span>
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565
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593
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<pre style="margin: 0;"> <span id="LC593" class="line" lang="haskell"><span class="n" style="color: #333;">findRhsArity</span> <span class="n" style="color: #333;">dflags</span> <span class="n" style="color: #333;">bndr</span> <span class="n" style="color: #333;">rhs</span> <span class="n" style="color: #333;">old_arity</span></span>
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566
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<pre style="margin: 0;">-<span id="LC566" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">go</span> <span class="p">(</span><span class="n" style="color: #333;">step</span> <span class="n" style="color: #333;"><span class="idiff left right">botArityType</span></span><span class="p">)</span></span>
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594
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<pre style="margin: 0;">+<span id="LC594" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">go</span> <span class="p">(</span><span class="n" style="color: #333;">step</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left right">ABot</span></span><span class="p">)</span></span>
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567
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595
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<pre style="margin: 0;"> <span id="LC595" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- We always do one step, but usually that produces a result equal to</span></span>
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568
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596
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<pre style="margin: 0;"> <span id="LC596" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- old_arity, and then we stop right away (since arities should not</span></span>
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569
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597
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<pre style="margin: 0;"> <span id="LC597" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- decrease)</span></span>
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570
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598
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<pre style="margin: 0;"> <span id="LC598" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- Result: the common case is that there is just one iteration</span></span>
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571
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599
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<pre style="margin: 0;"> <span id="LC599" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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572
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600
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<pre style="margin: 0;"> <span id="LC600" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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573
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<pre style="margin: 0;">-<span id="LC573" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">cur_atype</span><span class="o" style="font-weight: 600;">@</span><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span></span>
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574
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<pre style="margin: 0;">-<span id="LC574" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;"><=</span> <span class="n" style="color: #333;">old_arity</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cur_atype</span></span>
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575
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601
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<pre style="margin: 0;"> <span id="LC601" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">cur_atype</span></span>
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576
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<pre style="margin: 0;">-<span id="LC576" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">new_atype</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">cur_atype</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cur_atype</span></span>
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602
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<pre style="margin: 0;">+<span id="LC602" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">not</span> <span class="n" style="color: #333;">is_bot</span><span class="p">,</span> <span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;"><=</span> <span class="n" style="color: #333;">old_arity</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cur_atype</span> <span class="c1" style="color: #998; font-style: italic;">-- ... "stop right away"</span></span>
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603
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<pre style="margin: 0;">+<span id="LC603" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">new_atype</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">cur_atype</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cur_atype</span></span>
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577
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604
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<pre style="margin: 0;"> <span id="LC604" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">=</span></span>
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578
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605
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<pre style="margin: 0;"> <span id="LC605" class="line" lang="haskell"><span class="o" style="font-weight: 600;">#</span><span class="kr" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">defined</span><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">DEBUG</span><span class="p">)</span></span>
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606
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<pre style="margin: 0;"> <span id="LC606" class="line" lang="haskell"> <span class="n" style="color: #333;">pprTrace</span> <span class="s" style="color: #d14;">"Exciting arity"</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -582,7 +609,8 @@ findRhsArity dflags bndr rhs old_arity</td>
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582
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609
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<pre style="margin: 0;"> <span id="LC609" class="line" lang="haskell"><span class="o" style="font-weight: 600;">#</span><span class="n" style="color: #333;">endif</span></span>
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610
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<pre style="margin: 0;"> <span id="LC610" class="line" lang="haskell"> <span class="n" style="color: #333;">go</span> <span class="n" style="color: #333;">new_atype</span></span>
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611
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<pre style="margin: 0;"> <span id="LC611" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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585
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<pre style="margin: 0;">-<span id="LC585" class="line" lang="haskell"> <span class="n" style="color: #333;">new_atype</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">step</span> <span class="n" style="color: #333;">cur_atype</span></span>
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<pre style="margin: 0;">+<span id="LC612" class="line" lang="haskell"> <span class="p">(</span><span class="n" style="color: #333;">is_bot</span><span class="p">,</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">splitArityType</span> <span class="n" style="color: #333;">cur_atype</span></span>
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<pre style="margin: 0;">+<span id="LC613" class="line" lang="haskell"> <span class="n" style="color: #333;">new_atype</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">step</span> <span class="n" style="color: #333;">cur_atype</span></span>
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614
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<pre style="margin: 0;"> <span id="LC614" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC615" class="line" lang="haskell"> <span class="n" style="color: #333;">step</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;"> <span id="LC616" class="line" lang="haskell"> <span class="n" style="color: #333;">step</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">=</span> <span class="c1" style="color: #998; font-style: italic;">-- pprTrace "step" (ppr bndr <+> ppr at <+> ppr (arityType env rhs)) $</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -607,7 +635,7 @@ fifteen years ago! It also shows up in the code for 'rnf' on lists</td>
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<pre style="margin: 0;"> <span id="LC635" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">in #4138.</span></span>
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<pre style="margin: 0;"> <span id="LC636" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC637" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We do the neccessary, quite simple fixed-point iteration in 'findRhsArity',</span></span>
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<pre style="margin: 0;">-<span id="LC610" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">which assumes for a single binding <span class="idiff left right">@botArityType@</span> on the first run and iterates</span></span>
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<pre style="margin: 0;">+<span id="LC638" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">which assumes for a single binding <span class="idiff left right">'ABot'</span> on the first run and iterates</span></span>
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<pre style="margin: 0;"> <span id="LC639" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">until it finds a stable arity type. Two wrinkles</span></span>
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<pre style="margin: 0;"> <span id="LC640" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC641" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">* We often have to ask (see the Case or Let case of 'arityType') whether some</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -651,44 +679,43 @@ dictionary-typed expression, but that's more work.</td>
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<pre style="margin: 0;"> <span id="LC679" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">-}</span></span>
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<pre style="margin: 0;"> <span id="LC680" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC681" class="line" lang="haskell"><span class="n" style="color: #333;">arityLam</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">Id</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;">-<span id="LC654" class="line" lang="haskell"><span class="n" style="color: #333;">arityLam</span> <span class="n" style="color: #333;">id</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">as</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="n" style="color: #333;">idStateHackOneShotInfo</span> <span class="n" style="color: #333;">id</span> <span class="o" style="font-weight: 600;">:</span> <span class="n" style="color: #333;">as</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC655" class="line" lang="haskell"><span class="n" style="color: #333;">arityLam</span> <span class="kr" style="font-weight: 600;">_</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="p">(</span><span class="n" style="color: #333;">n</span><span class="o" style="font-weight: 600;">+</span><span class="mi" style="color: #099;">1</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC682" class="line" lang="haskell"><span class="n" style="color: #333;">arityLam</span> <span class="n" style="color: #333;">id</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="p">(</span><span class="n" style="color: #333;">idStateHackOneShotInfo</span> <span class="n" style="color: #333;">id</span><span class="p">)</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;"> <span id="LC683" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC684" class="line" lang="haskell"><span class="n" style="color: #333;">floatIn</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">Bool</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;"> <span id="LC685" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- We have something like (let x = E in b),</span></span>
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<pre style="margin: 0;"> <span id="LC686" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- where b has the given arity type.</span></span>
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<pre style="margin: 0;">-<span id="LC660" class="line" lang="haskell"><span class="n" style="color: #333;">floatIn</span> <span class="kr" style="font-weight: 600;"><span class="idiff left">_</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">ABot</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">n</span></span><span class="p"><span class="idiff">)</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">=</span></span><span class="idiff"> </span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">ABot</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">n</span></span></span>
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<pre style="margin: 0;">-<span id="LC661" class="line" lang="haskell"><span class="n" style="color: #333;"><span class="idiff left">floatIn</span></span><span class="idiff"> </span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">True</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">ATop</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">as</span></span><span class="p"><span class="idiff">)</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">=</span></span><span class="idiff"> </span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">ATop</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">as</span></span></span>
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<pre style="margin: 0;">-<span id="LC662" class="line" lang="haskell"><span class="n" style="color: #333;"><span class="idiff left">floatIn</span></span><span class="idiff"> </span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">False</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">ATop</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">as</span></span><span class="p"><span class="idiff">)</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">=</span></span><span class="idiff"> </span><span class="kt" style="color: #458; font-weight: 600;"><span class="idiff">ATop</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="n" style="color: #333;"><span class="idiff">takeWhile</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">isOneShotInfo</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">as</span></span><span class="p"><span class="idiff right">)</span></span></span>
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<pre style="margin: 0;">-<span id="LC663" class="line" lang="haskell"> <span class="idiff left"> </span><span class="c1" style="color: #998; font-style: italic;"><span class="idiff right">-- If E is not cheap, keep arity only for one-shots</span></span></span>
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<pre style="margin: 0;">+<span id="LC687" class="line" lang="haskell"><span class="n" style="color: #333;">floatIn</span> <span class="n" style="color: #333;"><span class="idiff left">cheap</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">at</span></span></span>
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<pre style="margin: 0;">+<span id="LC688" class="line" lang="haskell"><span class="idiff left"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">isBotArityType</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">at</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">||</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">cheap</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">=</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">at</span></span></span>
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<pre style="margin: 0;">+<span id="LC689" class="line" lang="haskell"><span class="idiff left"> </span><span class="c1" style="color: #998; font-style: italic;"><span class="idiff right">-- If E is not cheap, keep arity only for one-shots</span></span></span>
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<pre style="margin: 0;">+<span id="LC690" class="line" lang="haskell"> <span class="o" style="font-weight: 600;"><span class="idiff left">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">otherwise</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">=</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">takeWhileOneShot</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">at</span></span></span>
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<pre style="margin: 0;"> <span id="LC691" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC692" class="line" lang="haskell"><span class="n" style="color: #333;">arityApp</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Bool</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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<pre style="margin: 0;"> <span id="LC693" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Processing (fun arg) where at is the ArityType of fun,</span></span>
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<pre style="margin: 0;"> <span id="LC694" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Knock off an argument and behave like 'let'</span></span>
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<pre style="margin: 0;">-<span id="LC668" class="line" lang="haskell"><span class="n" style="color: #333;">arityApp</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="mi" style="color: #099;">0</span><span class="p">)</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="mi" style="color: #099;">0</span></span>
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<pre style="margin: 0;">-<span id="LC669" class="line" lang="haskell"><span class="n" style="color: #333;">arityApp</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="p">(</span><span class="n" style="color: #333;">n</span><span class="o" style="font-weight: 600;">-</span><span class="mi" style="color: #099;">1</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC670" class="line" lang="haskell"><span class="n" style="color: #333;">arityApp</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span><span class="p">)</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span></span>
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<pre style="margin: 0;">-<span id="LC671" class="line" lang="haskell"><span class="n" style="color: #333;">arityApp</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="kr" style="font-weight: 600;">_</span><span class="o" style="font-weight: 600;">:</span><span class="n" style="color: #333;">as</span><span class="p">))</span> <span class="n" style="color: #333;">cheap</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">floatIn</span> <span class="n" style="color: #333;">cheap</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">as</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC695" class="line" lang="haskell"><span class="n" style="color: #333;">arityApp</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kr" style="font-weight: 600;">_</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="n" style="color: #333;">cheap</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">floatIn</span> <span class="n" style="color: #333;">cheap</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;">+<span id="LC696" class="line" lang="haskell"><span class="n" style="color: #333;">arityApp</span> <span class="n" style="color: #333;">at</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;"> <span id="LC697" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC698" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span> <span class="c1" style="color: #998; font-style: italic;">-- Used for branches of a 'case'</span></span>
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<pre style="margin: 0;"> <span id="LC699" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- This is least upper bound in the ArityType lattice</span></span>
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<pre style="margin: 0;">-<span id="LC675" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n1</span><span class="p">)</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="p">(</span><span class="n" style="color: #333;">n1</span> <span class="p">`</span><span class="n" style="color: #333;">max</span><span class="p">`</span> <span class="n" style="color: #333;">n2</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;">-- Note [ABot branches: use max]</span></span>
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<pre style="margin: 0;">-<span id="LC676" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">as</span><span class="p">)</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="kr" style="font-weight: 600;">_</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">as</span></span>
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<pre style="margin: 0;">-<span id="LC677" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="kr" style="font-weight: 600;">_</span><span class="p">)</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">bs</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">bs</span></span>
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<pre style="margin: 0;">-<span id="LC678" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">as</span><span class="p">)</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">bs</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="n" style="color: #333;">as</span> <span class="p">`</span><span class="n" style="color: #333;">combine</span><span class="p">`</span> <span class="n" style="color: #333;">bs</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC679" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Combining case branches]</span></span>
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<pre style="margin: 0;">-<span id="LC680" class="line" lang="haskell"> <span class="n" style="color: #333;">combine</span> <span class="p">(</span><span class="n" style="color: #333;">a</span><span class="o" style="font-weight: 600;">:</span><span class="n" style="color: #333;">as</span><span class="p">)</span> <span class="p">(</span><span class="n" style="color: #333;">b</span><span class="o" style="font-weight: 600;">:</span><span class="n" style="color: #333;">bs</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">a</span> <span class="p">`</span><span class="n" style="color: #333;">bestOneShot</span><span class="p">`</span> <span class="n" style="color: #333;">b</span><span class="p">)</span> <span class="o" style="font-weight: 600;">:</span> <span class="n" style="color: #333;">combine</span> <span class="n" style="color: #333;">as</span> <span class="n" style="color: #333;">bs</span></span>
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<pre style="margin: 0;">-<span id="LC681" class="line" lang="haskell"> <span class="n" style="color: #333;">combine</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span> <span class="n" style="color: #333;">bs</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">takeWhile</span> <span class="n" style="color: #333;">isOneShotInfo</span> <span class="n" style="color: #333;">bs</span></span>
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<pre style="margin: 0;">-<span id="LC682" class="line" lang="haskell"> <span class="n" style="color: #333;">combine</span> <span class="n" style="color: #333;">as</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">takeWhile</span> <span class="n" style="color: #333;">isOneShotInfo</span> <span class="n" style="color: #333;">as</span></span>
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<pre style="margin: 0;">-<span id="LC683" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC684" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">{- Note [ABot branches: use max]</span></span>
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<pre style="margin: 0;">-<span id="LC685" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</span></span>
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<pre style="margin: 0;">+<span id="LC700" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">at2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at2</span> <span class="c1" style="color: #998; font-style: italic;">-- Note [ABot branches: max arity wins]</span></span>
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701
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<pre style="margin: 0;">+<span id="LC701" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="n" style="color: #333;">at1</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at1</span> <span class="c1" style="color: #998; font-style: italic;">-- Note [ABot branches: max arity wins]</span></span>
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702
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<pre style="margin: 0;">+<span id="LC702" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="n" style="color: #333;">os1</span> <span class="n" style="color: #333;">at1</span><span class="p">)</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="n" style="color: #333;">os2</span> <span class="n" style="color: #333;">at2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span></span>
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703
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<pre style="margin: 0;">+<span id="LC703" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="p">(</span><span class="n" style="color: #333;">os1</span> <span class="p">`</span><span class="n" style="color: #333;">bestOneShot</span><span class="p">`</span> <span class="n" style="color: #333;">os2</span><span class="p">)</span> <span class="p">(</span><span class="n" style="color: #333;">andArityType</span> <span class="n" style="color: #333;">at1</span> <span class="n" style="color: #333;">at2</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Combining case branches]</span></span>
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704
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<pre style="margin: 0;">+<span id="LC704" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="o" style="font-weight: 600;">=</span></span>
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<pre style="margin: 0;">+<span id="LC705" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span> <span class="p">(</span><span class="n" style="color: #333;">andArityType</span> <span class="n" style="color: #333;">at</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Combining case branches]</span></span>
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706
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<pre style="margin: 0;">+<span id="LC706" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span></span>
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<pre style="margin: 0;">+<span id="LC707" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ALam</span> <span class="kt" style="color: #458; font-weight: 600;">OneShotLam</span> <span class="p">(</span><span class="n" style="color: #333;">andArityType</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">at</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Combining case branches]</span></span>
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<pre style="margin: 0;">+<span id="LC708" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span></span>
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<pre style="margin: 0;">+<span id="LC709" class="line" lang="haskell"><span class="n" style="color: #333;">andArityType</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span></span>
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<pre style="margin: 0;">+<span id="LC710" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC711" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">{- Note [ABot branches: max arity wins]</span></span>
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712
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<pre style="margin: 0;">+<span id="LC712" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</span></span>
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713
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<pre style="margin: 0;"> <span id="LC713" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Consider case x of</span></span>
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687
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714
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<pre style="margin: 0;"> <span id="LC714" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> True -> \x. error "urk"</span></span>
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688
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715
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<pre style="margin: 0;"> <span id="LC715" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> False -> \xy. error "urk2"</span></span>
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<pre style="margin: 0;"> <span id="LC716" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC690" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Remember: <span class="idiff left right">ABot n</span> means "if you apply to n args, it'll definitely diverge".</span></span>
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691
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<pre style="margin: 0;">-<span id="LC691" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">So we need <span class="idiff left right">(ABot 2) for the whole thing, the /max/ of the ABot</span> arities.</span></span>
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<pre style="margin: 0;">+<span id="LC717" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Remember: <span class="idiff left right">\o1..on.⊥</span> means "if you apply to n args, it'll definitely diverge".</span></span>
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<pre style="margin: 0;">+<span id="LC718" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">So we need <span class="idiff left right">\??.⊥ for the whole thing, the /max/ of both</span> arities.</span></span>
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<pre style="margin: 0;"> <span id="LC719" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC720" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Note [Combining case branches]</span></span>
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<pre style="margin: 0;"> <span id="LC721" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -698,11 +725,12 @@ Consider</td>
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725
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<pre style="margin: 0;"> <span id="LC725" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> True -> z</span></span>
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<pre style="margin: 0;"> <span id="LC726" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> False -> \s(one-shot). e1</span></span>
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<pre style="margin: 0;"> <span id="LC727" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> in go2 x</span></span>
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<pre style="margin: 0;">-<span id="LC701" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We *really* want to eta-expand go and go2.</span></span>
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<pre style="margin: 0;">+<span id="LC728" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We *really* want to respect the one-shot annotation provided by the</span></span>
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<pre style="margin: 0;">+<span id="LC729" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">user and eta-expand go and go2.</span></span>
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<pre style="margin: 0;"> <span id="LC730" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">When combining the branches of the case we have</span></span>
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<pre style="margin: 0;">-<span id="LC703" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ATop <span class="idiff left right">[] `andAT` ATop [OneShotLam]</span></span></span>
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<pre style="margin: 0;">-<span id="LC704" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">and we want to get A<span class="idiff left right">Top [OneShotLam]. But if the inner</span></span></span>
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<pre style="margin: 0;">-<span id="LC705" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">lambda wasn't one-shot we don't want to do this.</span></span>
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<pre style="margin: 0;">+<span id="LC731" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ATop <span class="idiff left right">`andAT` ALam OneShotLam ATop</span></span></span>
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<pre style="margin: 0;">+<span id="LC732" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">and we want to get A<span class="idiff left right">Lam [OneShotLam] ATop.</span></span></span>
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<pre style="margin: 0;">+<span id="LC733" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">But if the inner </span>lambda wasn't one-shot we don't want to do this.</span></span>
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<pre style="margin: 0;"> <span id="LC734" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">(We need a proper arity analysis to justify that.)</span></span>
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735
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<pre style="margin: 0;"> <span id="LC735" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC736" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">So we combine the best of the two branches, on the (slightly dodgy)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -718,14 +746,15 @@ most 1, because typeArity (Int -> F a) = 1. So we have to trim the result of</td>
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<pre style="margin: 0;"> <span id="LC746" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">calling arityType on (\x y. blah). Failing to do so, and hence breaking the</span></span>
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747
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<pre style="margin: 0;"> <span id="LC747" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">exprArity invariant, led to #5441.</span></span>
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748
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<pre style="margin: 0;"> <span id="LC748" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC721" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">How to trim? <span class="idiff left right">For ATop, it's easy. But we must take great care with ABot.</span></span></span>
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<pre style="margin: 0;">-<span id="LC722" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">Suppose the expression was (\x y. error "urk"), we'll get (ABot 2). We</span></span></span>
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<pre style="margin: 0;">-<span id="LC723" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">absolutely must not trim that to (ABot 1)</span>, because that claims that</span></span>
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<pre style="margin: 0;">+<span id="LC749" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">How to trim? <span class="idiff left right">If we end in ATop, it's easy. But we must take great care with</span></span></span>
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<pre style="margin: 0;">+<span id="LC750" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">ABot. Suppose the expression was (\x y. error "urk"), we'll get \??.⊥.</span></span></span>
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<pre style="margin: 0;">+<span id="LC751" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">We absolutely must not trim that to \?.⊥</span>, because that claims that</span></span>
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<pre style="margin: 0;"> <span id="LC752" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">((\x y. error "urk") |> co) diverges when given one argument, which it</span></span>
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<pre style="margin: 0;"> <span id="LC753" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">absolutely does not. And Bad Things happen if we think something returns bottom</span></span>
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<pre style="margin: 0;"> <span id="LC754" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">when it doesn't (#16066).</span></span>
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<pre style="margin: 0;"> <span id="LC755" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC728" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">So, do not reduce the 'n' in (ABot n); rather, switch (conservatively) to ATop.</span></span>
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<pre style="margin: 0;">+<span id="LC756" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">So, if we need to trim an arity type ending in ABot, switch (conservatively) to</span></span>
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<pre style="margin: 0;">+<span id="LC757" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">ATop.</span></span>
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<pre style="margin: 0;"> <span id="LC758" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC759" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Historical note: long ago, we unconditionally switched to ATop when we</span></span>
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<pre style="margin: 0;"> <span id="LC760" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">encountered a cast, but that is far too conservative: see #5475</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -838,29 +867,28 @@ myIsCheapApp sigs fn n_val_args = case lookupVarEnv sigs fn of</td>
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838
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<pre style="margin: 0;"> <span id="LC867" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Nothing</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">isCheapApp</span> <span class="n" style="color: #333;">fn</span> <span class="n" style="color: #333;">n_val_args</span></span>
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839
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<pre style="margin: 0;"> <span id="LC868" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- @Just at@ means local function with @at@ as current ArityType.</span></span>
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<pre style="margin: 0;"> <span id="LC869" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- Roughly approximate what 'isCheapApp' is doing.</span></span>
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<pre style="margin: 0;">-<span id="LC841" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="kr" style="font-weight: 600;">_</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">True</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [isCheapApp: bottoming functions] in GHC.Core.Utils</span></span>
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842
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<pre style="margin: 0;">-<span id="LC842" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">n_val_args</span> <span class="o" style="font-weight: 600;"><</span> <span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">oss</span> <span class="c1" style="color: #998; font-style: italic;">-- Essentially isWorkFreeApp</span></span>
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870
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<pre style="margin: 0;">+<span id="LC870" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="n" style="color: #333;">at</span></span>
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871
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<pre style="margin: 0;">+<span id="LC871" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">is_bot</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">True</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [isCheapApp: bottoming functions] in GHC.Core.Utils</span></span>
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872
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<pre style="margin: 0;">+<span id="LC872" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">n_val_args</span> <span class="o" style="font-weight: 600;"><</span> <span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">True</span> <span class="c1" style="color: #998; font-style: italic;">-- Essentially isWorkFreeApp</span></span>
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<pre style="margin: 0;">+<span id="LC873" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">False</span></span>
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<pre style="margin: 0;">+<span id="LC874" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;">+<span id="LC875" class="line" lang="haskell"> <span class="p">(</span><span class="n" style="color: #333;">is_bot</span><span class="p">,</span> <span class="n" style="color: #333;">oss</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">splitArityType</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;"> <span id="LC876" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC877" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">----------------</span></span>
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<pre style="margin: 0;"> <span id="LC878" class="line" lang="haskell"><span class="n" style="color: #333;">arityType</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">ArityEnv</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">CoreExpr</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span></span>
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879
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<pre style="margin: 0;"> <span id="LC879" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC880" class="line" lang="haskell"><span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Cast</span> <span class="n" style="color: #333;">e</span> <span class="n" style="color: #333;">co</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC848" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">e</span> <span class="kr" style="font-weight: 600;">of</span></span>
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849
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<pre style="margin: 0;">-<span id="LC849" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">os</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="n" style="color: #333;">take</span> <span class="n" style="color: #333;">co_arity</span> <span class="n" style="color: #333;">os</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Arity trimming]</span></span>
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850
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<pre style="margin: 0;">-<span id="LC850" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">co_arity</span> <span class="o" style="font-weight: 600;"><</span> <span class="n" style="color: #333;">n</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="n" style="color: #333;">replicate</span> <span class="n" style="color: #333;">co_arity</span> <span class="n" style="color: #333;">noOneShotInfo</span><span class="p">)</span></span>
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851
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<pre style="margin: 0;">-<span id="LC851" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="n" style="color: #333;">n</span></span>
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881
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<pre style="margin: 0;">+<span id="LC881" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">minWithArity</span> <span class="p">(</span><span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">e</span><span class="p">)</span> <span class="n" style="color: #333;">co_arity</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Arity trimming]</span></span>
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<pre style="margin: 0;"> <span id="LC882" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;"> <span id="LC883" class="line" lang="haskell"> <span class="n" style="color: #333;">co_arity</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">length</span> <span class="p">(</span><span class="n" style="color: #333;">typeArity</span> <span class="p">(</span><span class="n" style="color: #333;">coercionRKind</span> <span class="n" style="color: #333;">co</span><span class="p">))</span></span>
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<pre style="margin: 0;"> <span id="LC884" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [exprArity invariant] (2); must be true of</span></span>
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<pre style="margin: 0;"> <span id="LC885" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- arityType too, since that is how we compute the arity</span></span>
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<pre style="margin: 0;"> <span id="LC886" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- of variables, and they in turn affect result of exprArity</span></span>
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<pre style="margin: 0;"> <span id="LC887" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- #5441 is a nice demo</span></span>
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<pre style="margin: 0;">-<span id="LC858" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- However, do make sure that ATop -> ATop and ABot -> ABot!</span></span>
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<pre style="margin: 0;">-<span id="LC859" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- Casts don't affect that part. Getting this wrong provoked #5475</span></span>
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<pre style="margin: 0;"> <span id="LC888" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC889" class="line" lang="haskell"><span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Var</span> <span class="n" style="color: #333;">v</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC890" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">v</span> <span class="p">`</span><span class="n" style="color: #333;">elemVarSet</span><span class="p">`</span> <span class="n" style="color: #333;">ae_joins</span> <span class="n" style="color: #333;">env</span></span>
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<pre style="margin: 0;">-<span id="LC863" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;"><span class="idiff left right">botArityType</span></span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Eta-expansion and join points]</span></span>
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<pre style="margin: 0;">+<span id="LC891" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left right">ABot</span></span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Eta-expansion and join points]</span></span>
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<pre style="margin: 0;"> <span id="LC892" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="n" style="color: #333;">at</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">lookupSigEnv</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">v</span> <span class="c1" style="color: #998; font-style: italic;">-- Local binding</span></span>
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<pre style="margin: 0;"> <span id="LC893" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">at</span></span>
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<pre style="margin: 0;"> <span id="LC894" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -887,18 +915,15 @@ arityType env (App fun arg )</td>
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<pre style="margin: 0;"> <span id="LC915" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">--</span></span>
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<pre style="margin: 0;"> <span id="LC916" class="line" lang="haskell"><span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Case</span> <span class="n" style="color: #333;">scrut</span> <span class="n" style="color: #333;">bndr</span> <span class="kr" style="font-weight: 600;">_</span> <span class="n" style="color: #333;">alts</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC917" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">exprIsDeadEnd</span> <span class="n" style="color: #333;">scrut</span> <span class="o" style="font-weight: 600;">||</span> <span class="n" style="color: #333;">null</span> <span class="n" style="color: #333;">alts</span></span>
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<pre style="margin: 0;">-<span id="LC890" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">botArityType</span> <span class="c1" style="color: #998; font-style: italic;">-- Do not eta expand</span></span>
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891
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<pre style="margin: 0;">-<span id="LC891" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Dealing with bottom (1)]</span></span>
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918
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<pre style="margin: 0;">+<span id="LC918" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="c1" style="color: #998; font-style: italic;">-- Do not eta expand. See Note [Dealing with bottom (1)]</span></span>
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892
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919
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<pre style="margin: 0;"> <span id="LC919" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">not</span> <span class="p">(</span><span class="n" style="color: #333;">pedanticBottoms</span> <span class="n" style="color: #333;">env</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Dealing with bottom (2)]</span></span>
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<pre style="margin: 0;"> <span id="LC920" class="line" lang="haskell"> <span class="p">,</span> <span class="n" style="color: #333;">myExprIsCheap</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">scrut</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="p">(</span><span class="n" style="color: #333;">idType</span> <span class="n" style="color: #333;">bndr</span><span class="p">))</span></span>
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<pre style="margin: 0;"> <span id="LC921" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">alts_type</span></span>
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<pre style="margin: 0;"> <span id="LC922" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">exprOkForSpeculation</span> <span class="n" style="color: #333;">scrut</span></span>
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<pre style="margin: 0;"> <span id="LC923" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">alts_type</span></span>
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924
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<pre style="margin: 0;"> <span id="LC924" class="line" lang="haskell"></span>
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898
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<pre style="margin: 0;">-<span id="LC898" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="c1" style="color: #998; font-style: italic;">-- In the remaining cases we may not push</span></span>
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899
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<pre style="margin: 0;">-<span id="LC899" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">alts_type</span> <span class="kr" style="font-weight: 600;">of</span> <span class="c1" style="color: #998; font-style: italic;">-- evaluation of the scrutinee in</span></span>
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900
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<pre style="margin: 0;">-<span id="LC900" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="n" style="color: #333;">as</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="p">(</span><span class="n" style="color: #333;">takeWhile</span> <span class="n" style="color: #333;">isOneShotInfo</span> <span class="n" style="color: #333;">as</span><span class="p">)</span></span>
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901
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<pre style="margin: 0;">-<span id="LC901" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ABot</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ATop</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span></span>
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<pre style="margin: 0;">+<span id="LC925" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="c1" style="color: #998; font-style: italic;">-- In the remaining cases we may not push</span></span>
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<pre style="margin: 0;">+<span id="LC926" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">takeWhileOneShot</span> <span class="n" style="color: #333;">alts_type</span> <span class="c1" style="color: #998; font-style: italic;">-- evaluation of the scrutinee in</span></span>
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<pre style="margin: 0;"> <span id="LC927" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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903
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928
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<pre style="margin: 0;"> <span id="LC928" class="line" lang="haskell"> <span class="n" style="color: #333;">alts_type</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">foldr1</span> <span class="n" style="color: #333;">andArityType</span> <span class="p">[</span><span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">rhs</span> <span class="o" style="font-weight: 600;">|</span> <span class="p">(</span><span class="kr" style="font-weight: 600;">_</span><span class="p">,</span><span class="kr" style="font-weight: 600;">_</span><span class="p">,</span><span class="n" style="color: #333;">rhs</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">alts</span><span class="p">]</span></span>
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929
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<pre style="margin: 0;"> <span id="LC929" class="line" lang="haskell"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -938,7 +963,7 @@ arityType env (Let (Rec prs) e)</td>
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<pre style="margin: 0;"> <span id="LC963" class="line" lang="haskell"><span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Tick</span> <span class="n" style="color: #333;">t</span> <span class="n" style="color: #333;">e</span><span class="p">)</span></span>
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939
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<pre style="margin: 0;"> <span id="LC964" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">not</span> <span class="p">(</span><span class="n" style="color: #333;">tickishIsCode</span> <span class="n" style="color: #333;">t</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">arityType</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">e</span></span>
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965
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<pre style="margin: 0;"> <span id="LC965" class="line" lang="haskell"></span>
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941
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<pre style="margin: 0;">-<span id="LC941" class="line" lang="haskell"><span class="n" style="color: #333;">arityType</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;"><span class="idiff left right">vanillaArityType</span></span></span>
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<pre style="margin: 0;">+<span id="LC966" class="line" lang="haskell"><span class="n" style="color: #333;">arityType</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left right">ATop</span></span></span>
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967
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<pre style="margin: 0;"> <span id="LC967" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC968" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">{- Note [Eta-expansion and join points]</span></span>
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<pre style="margin: 0;"> <span id="LC969" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -973,12 +998,12 @@ So we do this:</td>
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998
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<pre style="margin: 0;"> <span id="LC998" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> body of the let.</span></span>
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<pre style="margin: 0;"> <span id="LC999" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1000" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">* Dually, when we come to a /call/ of a join point, just no-op</span></span>
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<pre style="margin: 0;">-<span id="LC976" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> by returning <span class="idiff left right">botArityType</span>, the bottom element of ArityType,</span></span>
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<pre style="margin: 0;">+<span id="LC1001" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> by returning <span class="idiff left right">ABot</span>, the bottom element of ArityType,</span></span>
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<pre style="margin: 0;"> <span id="LC1002" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> which so that: bot `andArityType` x = x</span></span>
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<pre style="margin: 0;"> <span id="LC1003" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1004" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">* This works if the join point is bound in the expression we are</span></span>
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<pre style="margin: 0;"> <span id="LC1005" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> taking the arityType of. But if it's bound further out, it makes</span></span>
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<pre style="margin: 0;">-<span id="LC981" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> no sense to say that (say) the arityType of (j False) is ABot<span class="idiff left right"> 0</span>.</span></span>
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<pre style="margin: 0;">+<span id="LC1006" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> no sense to say that (say) the arityType of (j False) is ABot.</span></span>
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<pre style="margin: 0;"> <span id="LC1007" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> Bad things happen. So we keep track of the in-scope join-point Ids</span></span>
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<pre style="margin: 0;"> <span id="LC1008" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> in ae_join.</span></span>
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1009
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<pre style="margin: 0;"> <span id="LC1009" class="line" lang="haskell"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -999,10 +1024,10 @@ idArityType v</td>
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<pre style="margin: 0;"> <span id="LC1024" class="line" lang="haskell"> <span class="p">,</span> <span class="n" style="color: #333;">not</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">isTopSig</span> <span class="n" style="color: #333;">strict_sig</span></span>
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<pre style="margin: 0;"> <span id="LC1025" class="line" lang="haskell"> <span class="p">,</span> <span class="p">(</span><span class="n" style="color: #333;">ds</span><span class="p">,</span> <span class="n" style="color: #333;">res</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">splitStrictSig</span> <span class="n" style="color: #333;">strict_sig</span></span>
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1026
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<pre style="margin: 0;"> <span id="LC1026" class="line" lang="haskell"> <span class="p">,</span> <span class="kr" style="font-weight: 600;">let</span> <span class="n" style="color: #333;">arity</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">length</span> <span class="n" style="color: #333;">ds</span></span>
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1002
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<pre style="margin: 0;">-<span id="LC1002" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">isDeadEndDiv</span> <span class="n" style="color: #333;">res</span> <span class="kr" style="font-weight: 600;">then</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left">ABot</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">arity</span></span></span>
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<pre style="margin: 0;">-<span id="LC1003" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">else</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left right">ATop</span></span> <span class="p">(</span><span class="n" style="color: #333;">take</span> <span class="n" style="color: #333;">arity</span> <span class="n" style="color: #333;">one_shots</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC1027" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">isDeadEndDiv</span> <span class="n" style="color: #333;">res</span> <span class="kr" style="font-weight: 600;">then</span> <span class="n" style="color: #333;"><span class="idiff left">mkBotArityType</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="n" style="color: #333;"><span class="idiff">take</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">arity</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">one_shots</span></span><span class="p"><span class="idiff right">)</span></span></span>
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1028
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<pre style="margin: 0;">+<span id="LC1028" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">else</span> <span class="n" style="color: #333;"><span class="idiff left right">mkTopArityType</span></span> <span class="p">(</span><span class="n" style="color: #333;">take</span> <span class="n" style="color: #333;">arity</span> <span class="n" style="color: #333;">one_shots</span><span class="p">)</span></span>
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1004
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1029
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<pre style="margin: 0;"> <span id="LC1029" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span></span>
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1005
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<pre style="margin: 0;">-<span id="LC1005" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left right">ATop</span></span> <span class="p">(</span><span class="n" style="color: #333;">take</span> <span class="p">(</span><span class="n" style="color: #333;">idArity</span> <span class="n" style="color: #333;">v</span><span class="p">)</span> <span class="n" style="color: #333;">one_shots</span><span class="p">)</span></span>
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1030
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<pre style="margin: 0;">+<span id="LC1030" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;"><span class="idiff left right">mkTopArityType</span></span> <span class="p">(</span><span class="n" style="color: #333;">take</span> <span class="p">(</span><span class="n" style="color: #333;">idArity</span> <span class="n" style="color: #333;">v</span><span class="p">)</span> <span class="n" style="color: #333;">one_shots</span><span class="p">)</span></span>
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1006
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1031
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<pre style="margin: 0;"> <span id="LC1031" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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1007
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1032
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<pre style="margin: 0;"> <span id="LC1032" class="line" lang="haskell"> <span class="n" style="color: #333;">one_shots</span> <span class="o" style="font-weight: 600;">::</span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">OneShotInfo</span><span class="p">]</span> <span class="c1" style="color: #998; font-style: italic;">-- One-shot-ness derived from the type</span></span>
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1008
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1033
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<pre style="margin: 0;"> <span id="LC1033" class="line" lang="haskell"> <span class="n" style="color: #333;">one_shots</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">typeArity</span> <span class="p">(</span><span class="n" style="color: #333;">idType</span> <span class="n" style="color: #333;">v</span><span class="p">)</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1111" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1136" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1111,13 +1136,13 @@ Consider</td>
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1111
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1136
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<pre style="margin: 0;"> <span id="LC1136" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> foo = \x. case x of</span></span>
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1112
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1137
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<pre style="margin: 0;"> <span id="LC1137" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> True -> (\s{os}. blah) |> co</span></span>
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1113
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1138
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<pre style="margin: 0;"> <span id="LC1138" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> False -> wubble</span></span>
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1114
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<pre style="margin: 0;">-<span id="LC1114" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We'll get an ArityType for foo of <span class="idiff left right">(ATop [NoOneShot,OneShot])</span>.</span></span>
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1139
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<pre style="margin: 0;">+<span id="LC1139" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We'll get an ArityType for foo of <span class="idiff left right">\?1.T</span>.</span></span>
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1115
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1140
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<pre style="margin: 0;"> <span id="LC1140" class="line" lang="haskell"></span>
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1116
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1141
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<pre style="margin: 0;"> <span id="LC1141" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Then we want to eta-expand to</span></span>
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1117
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1142
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<pre style="margin: 0;"> <span id="LC1142" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> foo = \x. (\eta{os}. (case x of ...as before...) eta) |> some_co</span></span>
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1118
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1143
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<pre style="margin: 0;"> <span id="LC1143" class="line" lang="haskell"></span>
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1119
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1144
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<pre style="margin: 0;"> <span id="LC1144" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">That 'eta' binder is fresh, and we really want it to have the</span></span>
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1120
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<pre style="margin: 0;">-<span id="LC1120" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">one-shot flag from the inner \s{os<span class="idiff left right">f</span>}. By expanding with the</span></span>
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1145
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<pre style="margin: 0;">+<span id="LC1145" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">one-shot flag from the inner \s{os}. By expanding with the</span></span>
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1121
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1146
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<pre style="margin: 0;"> <span id="LC1146" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">ArityType gotten from analysing the RHS, we achieve this neatly.</span></span>
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1122
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1147
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<pre style="margin: 0;"> <span id="LC1147" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1148" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">This makes a big difference to the one-shot monad trick;</span></span>
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<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/c9bae9247e6a455d7f4ee4d8dc5f60fc0924acf8#f168a93cde5e2aec2441d6331dfe500172df4af3"><strong>compiler/GHC/Core/Opt/Simplify.hs</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -50,7 +50,7 @@ import GHC.Types.Unique ( hasKey )</td>
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">GHC.Core.Unfold</span></span>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">GHC.Core.Unfold.Make</span></span>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">GHC.Core.Utils</span></span>
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<pre style="margin: 0;">-<span id="LC53" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">GHC.Core.Opt.Arity</span> <span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span><span class="p"><span class="idiff left">(</span></span><span class="o" style="font-weight: 600;"><span class="idiff">..</span></span><span class="p"><span class="idiff right">)</span>,</span> <span class="nf" style="color: #900; font-weight: 600;">arityTypeArity</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">isBotArityType</span></span>
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">GHC.Core.Opt.Arity</span> <span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">ArityType</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">arityTypeArity</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">isBotArityType</span></span>
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<pre style="margin: 0;"> <span id="LC54" class="line" lang="haskell"> <span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">pushCoTyArg</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">pushCoValArg</span></span>
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<pre style="margin: 0;"> <span id="LC55" class="line" lang="haskell"> <span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">idArityType</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">etaExpandAT</span> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC56" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">GHC.Core.SimpleOpt</span> <span class="p">(</span> <span class="nf" style="color: #900; font-weight: 600;">joinPointBinding_maybe</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">joinPointBindings_maybe</span> <span class="p">)</span></span>
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<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/c9bae9247e6a455d7f4ee4d8dc5f60fc0924acf8#48fbb5cdea308650de5756521feb28ec68819b9b"><strong>compiler/GHC/Core/Opt/Simplify/Utils.hs</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1662,8 +1662,8 @@ tryEtaExpandRhs mode bndr rhs</td>
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<pre style="margin: 0;"> <span id="LC1662" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">Just</span> <span class="n" style="color: #333;">join_arity</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">isJoinId_maybe</span> <span class="n" style="color: #333;">bndr</span></span>
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<pre style="margin: 0;"> <span id="LC1663" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">do</span> <span class="p">{</span> <span class="kr" style="font-weight: 600;">let</span> <span class="p">(</span><span class="n" style="color: #333;">join_bndrs</span><span class="p">,</span> <span class="n" style="color: #333;">join_body</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">collectNBinders</span> <span class="n" style="color: #333;">join_arity</span> <span class="n" style="color: #333;">rhs</span></span>
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<pre style="margin: 0;"> <span id="LC1664" class="line" lang="haskell"> <span class="n" style="color: #333;">oss</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">[</span><span class="n" style="color: #333;">idOneShotInfo</span> <span class="n" style="color: #333;">id</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">id</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">join_bndrs</span><span class="p">,</span> <span class="n" style="color: #333;">isId</span> <span class="n" style="color: #333;">id</span><span class="p">]</span></span>
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<pre style="margin: 0;">-<span id="LC1665" class="line" lang="haskell"> <span class="n" style="color: #333;">arity_type</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">exprIsDeadEnd</span> <span class="n" style="color: #333;">join_body</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left">ABot</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="n" style="color: #333;"><span class="idiff">length</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">oss</span></span><span class="p"><span class="idiff right">)</span></span></span>
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<pre style="margin: 0;">-<span id="LC1666" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;"><span class="idiff left right">ATop</span></span> <span class="n" style="color: #333;">oss</span></span>
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<pre style="margin: 0;">+<span id="LC1665" class="line" lang="haskell"> <span class="n" style="color: #333;">arity_type</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">exprIsDeadEnd</span> <span class="n" style="color: #333;">join_body</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;"><span class="idiff left">mkBotArityType</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">oss</span></span></span>
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<pre style="margin: 0;">+<span id="LC1666" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;"><span class="idiff left right">mkTopArityType</span></span> <span class="n" style="color: #333;">oss</span></span>
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<pre style="margin: 0;"> <span id="LC1667" class="line" lang="haskell"> <span class="p">;</span> <span class="n" style="color: #333;">return</span> <span class="p">(</span><span class="n" style="color: #333;">arity_type</span><span class="p">,</span> <span class="n" style="color: #333;">rhs</span><span class="p">)</span> <span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC1668" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- Note [Do not eta-expand join points]</span></span>
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<pre style="margin: 0;"> <span id="LC1669" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- But do return the correct arity and bottom-ness, because</span></span>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# OPTIONS_GHC -O2 -fforce-recomp #-}</span></span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">module</span> <span class="nn" style="color: #555;">T18870</span> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">GHC.Exts</span></span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- This function should not lead to an "Exciting arity" DEBUG message.</span></span>
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- It should only do one round of fixed-point iteration to conclude that it has</span></span>
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<pre style="margin: 0;">+<span id="LC9" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- arity 2.</span></span>
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="haskell"><span class="n" style="color: #333;">f</span> <span class="o" style="font-weight: 600;">::</span> <span class="p">[</span><span class="n" style="color: #333;">a</span><span class="p">]</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">a</span></span>
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="haskell"><span class="n" style="color: #333;">f</span> <span class="kt" style="color: #458; font-weight: 600;">[]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">id</span></span>
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<pre style="margin: 0;">+<span id="LC12" class="line" lang="haskell"><span class="n" style="color: #333;">f</span> <span class="p">(</span><span class="n" style="color: #333;">x</span><span class="o" style="font-weight: 600;">:</span><span class="n" style="color: #333;">xs</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">oneShot</span> <span class="p">(</span><span class="nf" style="color: #900; font-weight: 600;">\</span><span class="kr" style="font-weight: 600;">_</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">f</span> <span class="n" style="color: #333;">xs</span> <span class="n" style="color: #333;">x</span><span class="p">)</span></span></pre>
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<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/c9bae9247e6a455d7f4ee4d8dc5f60fc0924acf8#d67c329c07c6c486d54ae87ffc8be9188c198bcc"><strong>testsuite/tests/arityanal/should_compile/all.T</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -19,3 +19,4 @@ test('Arity16', [ only_ways(['optasm']), grep_errmsg('Arity=') ], compile, ['-dn</td>
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<pre style="margin: 0;"> <span id="LC19" class="line" lang="perl"></span>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="perl"><span class="c1" style="color: #998; font-style: italic;"># Regression tests</span></span>
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<pre style="margin: 0;"> <span id="LC21" class="line" lang="perl"><span class="nv" style="color: #008080;">test</span><span class="p">('</span><span class="s1" style="color: #d14;">T18793</span><span class="p">',</span> <span class="p">[</span> <span class="nv" style="color: #008080;">only_ways</span><span class="p">(['</span><span class="s1" style="color: #d14;">optasm</span><span class="p">']),</span> <span class="nv" style="color: #008080;">grep_errmsg</span><span class="p">('</span><span class="s1" style="color: #d14;">Arity=</span><span class="p">')</span> <span class="p">],</span> <span class="nv" style="color: #008080;">compile</span><span class="p">,</span> <span class="p">['</span><span class="s1" style="color: #d14;">-dno-typeable-binds -ddump-simpl -dppr-cols=99999 -dsuppress-uniques</span><span class="p">'])</span></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="perl"><span class="nv" style="color: #008080;">test</span><span class="p">('</span><span class="s1" style="color: #d14;">T18870</span><span class="p">',</span> <span class="p">[</span> <span class="nv" style="color: #008080;">only_ways</span><span class="p">(['</span><span class="s1" style="color: #d14;">optasm</span><span class="p">'])</span> <span class="p">],</span> <span class="nv" style="color: #008080;">compile</span><span class="p">,</span> <span class="p">['</span><span class="s1" style="color: #d14;">-ddebug-output</span><span class="p">'])</span></span></pre>
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