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<h3>
Andreas Klebinger pushed to branch wip/andreask/dmd_widening
at <a href="https://gitlab.haskell.org/ghc/ghc">Glasgow Haskell Compiler / GHC</a>
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<h4>
Commits:
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<strong><a href="https://gitlab.haskell.org/ghc/ghc/-/commit/b23c6d7f8c61ade781c50e95f913bb1b2f45eda4">b23c6d7f</a></strong>
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<span>by Andreas Klebinger</span>
<i>at 2020-06-08T13:35:25+02:00</i>
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<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">DmdAnal: Limit nesting of incoming demands.
In #18304 we saw a case where large recursive groups caused
demand annotations to grow to millions of constructors.
To avoid this we limit the depth of incoming demands when analysing
expressions. This loses some precision, but we don't really make
use of demands nested this deeply so I don't expect performance
regressions from this.
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<h4>3 changed files:</h4>
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<li class="file-stats">
<a href="#8104fa1b71db6cfc4eb90cd769463d9eb9004619">
compiler/GHC/Core/Opt/DmdAnal.hs
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<a href="#4aad0050db1a8a20db8bbca149111de99cb299c9">
compiler/GHC/Core/TyCon.hs
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<li class="file-stats">
<a href="#d09e98aae6ad2eb59d08eac7894b68c0ab820cda">
compiler/GHC/Types/Demand.hs
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<h4>Changes:</h4>
<li id="8104fa1b71db6cfc4eb90cd769463d9eb9004619">
<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/b23c6d7f8c61ade781c50e95f913bb1b2f45eda4#8104fa1b71db6cfc4eb90cd769463d9eb9004619"><strong>compiler/GHC/Core/Opt/DmdAnal.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">@@ -8,6 +8,7 @@</td>
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<pre style="margin: 0;"> <span id="LC8" 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="LC9" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# LANGUAGE CPP #-}</span></span>
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# LANGUAGE BangPatterns #-}</span></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC13" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">module</span> <span class="nn" style="color: #555;">GHC.Core.Opt.DmdAnal</span> <span class="p">(</span> <span class="nf" style="color: #900; font-weight: 600;">dmdAnalProgram</span> <span class="p">)</span> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;"> <span id="LC14" 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">@@ -51,7 +52,7 @@ import GHC.Types.Unique.Set</td>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="haskell"><span class="n" style="color: #333;">dmdAnalProgram</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;">FamInstEnvs</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">CoreProgram</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">IO</span> <span class="kt" style="color: #458; font-weight: 600;">CoreProgram</span></span>
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<pre style="margin: 0;"> <span id="LC53" class="line" lang="haskell"><span class="n" style="color: #333;">dmdAnalProgram</span> <span class="n" style="color: #333;">dflags</span> <span class="n" style="color: #333;">fam_envs</span> <span class="n" style="color: #333;">binds</span> <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">do</span></span>
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<pre style="margin: 0;"> <span id="LC54" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">let</span> <span class="n" style="color: #333;">env</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">emptyAnalEnv</span> <span class="n" style="color: #333;">dflags</span> <span class="n" style="color: #333;">fam_envs</span></span>
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<pre style="margin: 0;">-<span id="LC54" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">let</span> <span class="n" style="color: #333;">binds_plus_dmds</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">snd</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">mapAccumL</span> <span class="n" style="color: #333;">dmdAnalTopBind</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">binds</span></span>
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<pre style="margin: 0;">+<span id="LC55" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">let</span> <span class="o" style="font-weight: 600;"><span class="idiff left right">!</span></span><span class="n" style="color: #333;">binds_plus_dmds</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">snd</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">mapAccumL</span> <span class="n" style="color: #333;">dmdAnalTopBind</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">binds</span></span>
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<pre style="margin: 0;"> <span id="LC56" class="line" lang="haskell"> <span class="n" style="color: #333;">dumpIfSet_dyn</span> <span class="n" style="color: #333;">dflags</span> <span class="kt" style="color: #458; font-weight: 600;">Opt_D_dump_str_signatures</span> <span class="s" style="color: #d14;">"Strictness signatures"</span> <span class="kt" style="color: #458; font-weight: 600;">FormatText</span> <span class="o" style="font-weight: 600;">$</span></span>
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<pre style="margin: 0;"> <span id="LC57" class="line" lang="haskell"> <span class="n" style="color: #333;">dumpIdInfoOfProgram</span> <span class="p">(</span><span class="n" style="color: #333;">pprIfaceStrictSig</span> <span class="o" style="font-weight: 600;">.</span> <span class="n" style="color: #333;">strictnessInfo</span><span class="p">)</span> <span class="n" style="color: #333;">binds_plus_dmds</span></span>
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<pre style="margin: 0;"> <span id="LC58" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Stamp out space leaks in demand analysis]</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">@@ -149,7 +150,9 @@ dmdAnal, dmdAnal' :: AnalEnv</td>
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<pre style="margin: 0;"> <span id="LC150" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- See Note [Ensure demand is strict]</span></span>
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<pre style="margin: 0;"> <span id="LC151" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC152" class="line" lang="haskell"><span class="n" style="color: #333;">dmdAnal</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">d</span> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">=</span> <span class="c1" style="color: #998; font-style: italic;">-- pprTrace "dmdAnal" (ppr d <+> ppr e) $</span></span>
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<pre style="margin: 0;">-<span id="LC152" class="line" lang="haskell"> <span class="n" style="color: #333;">dmdAnal'</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">d</span> <span class="n" style="color: #333;">e</span></span>
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<pre style="margin: 0;">+<span id="LC153" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Demand analysis on self recursive functions]</span></span>
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<pre style="margin: 0;">+<span id="LC154" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- for why we widen the incoming demand here.</span></span>
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<pre style="margin: 0;">+<span id="LC155" class="line" lang="haskell"> <span class="n" style="color: #333;">dmdAnal'</span> <span class="n" style="color: #333;">env</span> <span class="p">(</span><span class="n" style="color: #333;">widenDmd</span> <span class="mi" style="color: #099;">5</span> <span class="n" style="color: #333;">d</span><span class="p">)</span> <span class="n" style="color: #333;">e</span></span>
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<pre style="margin: 0;"> <span id="LC156" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC157" class="line" lang="haskell"><span class="n" style="color: #333;">dmdAnal'</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Lit</span> <span class="n" style="color: #333;">lit</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">nopDmdType</span><span class="p">,</span> <span class="kt" style="color: #458; font-weight: 600;">Lit</span> <span class="n" style="color: #333;">lit</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC158" class="line" lang="haskell"><span class="n" style="color: #333;">dmdAnal'</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Type</span> <span class="n" style="color: #333;">ty</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">nopDmdType</span><span class="p">,</span> <span class="kt" style="color: #458; font-weight: 600;">Type</span> <span class="n" style="color: #333;">ty</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;">-- Doesn't happen, in fact</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">@@ -517,6 +520,83 @@ dmdTransform env var dmd</td>
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<pre style="margin: 0;"> <span id="LC520" 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="LC521" 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="LC522" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC523" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">{- Note [Demand analysis on self recursive functions]</span></span>
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<pre style="margin: 0;">+<span id="LC524" 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="LC526" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Given a data type like this:</span></span>
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<pre style="margin: 0;">+<span id="LC528" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> T = C { ... , next :: T }</span></span>
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<pre style="margin: 0;">+<span id="LC530" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">and a function</span></span>
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<pre style="margin: 0;">+<span id="LC532" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> f x = ..</span></span>
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<pre style="margin: 0;">+<span id="LC533" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> .. -> f (next x)</span></span>
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534
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<pre style="margin: 0;">+<span id="LC534" class="line" lang="haskell"></span>
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535
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<pre style="margin: 0;">+<span id="LC535" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">usage information would be unbounded in it's size.</span></span>
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536
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<pre style="margin: 0;">+<span id="LC536" class="line" lang="haskell"></span>
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537
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<pre style="margin: 0;">+<span id="LC537" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">The reason is that we figure out f will use the next field of x.</span></span>
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538
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<pre style="margin: 0;">+<span id="LC538" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Giving us useage information of U<U>.</span></span>
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539
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<pre style="margin: 0;">+<span id="LC539" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Armed with this information we analyse `f (next x)` in the body again</span></span>
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540
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<pre style="margin: 0;">+<span id="LC540" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">on the next iteration giving usage of U<U<U>>. We can repeat this</span></span>
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541
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<pre style="margin: 0;">+<span id="LC541" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">for infinity and will never reach a fixpoint.</span></span>
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542
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<pre style="margin: 0;">+<span id="LC542" class="line" lang="haskell"></span>
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543
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<pre style="margin: 0;">+<span id="LC543" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We used to deal with this simply by limiting the number of iterations</span></span>
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544
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<pre style="margin: 0;">+<span id="LC544" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">to 10 and giving up if we could not find a fix point in this time.</span></span>
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545
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<pre style="margin: 0;">+<span id="LC545" class="line" lang="haskell"></span>
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546
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<pre style="margin: 0;">+<span id="LC546" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">While this works well for small recursive groups it doesn't work for</span></span>
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547
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<pre style="margin: 0;">+<span id="LC547" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">large ones. This happened in #18304.</span></span>
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548
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<pre style="margin: 0;">+<span id="LC548" class="line" lang="haskell"></span>
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549
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<pre style="margin: 0;">+<span id="LC549" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">The reason is simple. We analyse a recursive group of functions</span></span>
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550
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<pre style="margin: 0;">+<span id="LC550" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">like below:</span></span>
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551
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<pre style="margin: 0;">+<span id="LC551" class="line" lang="haskell"></span>
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552
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<pre style="margin: 0;">+<span id="LC552" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">f1 x = ...</span></span>
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553
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<pre style="margin: 0;">+<span id="LC553" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> -> f1 (next x)</span></span>
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554
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<pre style="margin: 0;">+<span id="LC554" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> -> f2 (next x)</span></span>
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555
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<pre style="margin: 0;">+<span id="LC555" class="line" lang="haskell"></span>
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556
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<pre style="margin: 0;">+<span id="LC556" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">f2 x = ...</span></span>
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557
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<pre style="margin: 0;">+<span id="LC557" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> -> f1 (next x)</span></span>
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558
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<pre style="margin: 0;">+<span id="LC558" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> -> f2 (next x)</span></span>
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559
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<pre style="margin: 0;">+<span id="LC559" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> -> fn ...</span></span>
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560
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<pre style="margin: 0;">+<span id="LC560" class="line" lang="haskell"></span>
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561
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<pre style="margin: 0;">+<span id="LC561" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We analyse f1 under the default demand resulting in U<U>.</span></span>
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562
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<pre style="margin: 0;">+<span id="LC562" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">We analyse f2 and see the call `f1 (next x)` in the body.</span></span>
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563
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<pre style="margin: 0;">+<span id="LC563" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Since `f1 x` has U<U> "f1 (next x)" in the body of f2 will</span></span>
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564
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<pre style="margin: 0;">+<span id="LC564" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">result in U<U<U>> as usage demand of f2.</span></span>
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565
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<pre style="margin: 0;">+<span id="LC565" class="line" lang="haskell"></span>
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566
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<pre style="margin: 0;">+<span id="LC566" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">For each additional function fn in the group of this pattern</span></span>
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567
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<pre style="margin: 0;">+<span id="LC567" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">usage information will become nested deeper by one level.</span></span>
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568
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<pre style="margin: 0;">+<span id="LC568" class="line" lang="haskell"></span>
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569
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<pre style="margin: 0;">+<span id="LC569" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">This means depth of usage information will grow linear in the</span></span>
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570
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<pre style="margin: 0;">+<span id="LC570" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">number of functions in the recursive group. Being capped at</span></span>
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571
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<pre style="margin: 0;">+<span id="LC571" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">iterations * n.</span></span>
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572
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<pre style="margin: 0;">+<span id="LC572" class="line" lang="haskell"></span>
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573
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<pre style="margin: 0;">+<span id="LC573" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">This is still tractable, the issue in #18304 addone one more</span></span>
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574
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<pre style="margin: 0;">+<span id="LC574" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">dimension to the problem by not having one, but two "next" fields.</span></span>
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575
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<pre style="margin: 0;">+<span id="LC575" class="line" lang="haskell"></span>
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576
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<pre style="margin: 0;">+<span id="LC576" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">data T = C { ... , next1 :: T, next2 :: T}</span></span>
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577
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<pre style="margin: 0;">+<span id="LC577" class="line" lang="haskell"></span>
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578
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<pre style="margin: 0;">+<span id="LC578" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">f1 x = ...</span></span>
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579
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<pre style="margin: 0;">+<span id="LC579" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> .. -> f1 (next1 x)</span></span>
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580
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<pre style="margin: 0;">+<span id="LC580" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> .. -> f1 (next2 x)</span></span>
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581
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<pre style="margin: 0;">+<span id="LC581" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> .. -> f2 (next1 x)</span></span>
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582
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<pre style="margin: 0;">+<span id="LC582" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> .. -> f2 (next2 x)</span></span>
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583
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<pre style="margin: 0;">+<span id="LC583" class="line" lang="haskell"></span>
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584
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<pre style="margin: 0;">+<span id="LC584" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Suddenly the size of usage information was growing exponentially</span></span>
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585
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<pre style="margin: 0;">+<span id="LC585" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">in 2 ^ (n * iterations).</span></span>
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586
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<pre style="margin: 0;">+<span id="LC586" class="line" lang="haskell"></span>
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587
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<pre style="margin: 0;">+<span id="LC587" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">This very quickly becomes untractable!</span></span>
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588
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<pre style="margin: 0;">+<span id="LC588" class="line" lang="haskell"></span>
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589
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<pre style="margin: 0;">+<span id="LC589" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">This is a well known problem which is usually solved by adding a</span></span>
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590
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<pre style="margin: 0;">+<span id="LC590" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">widening operator.</span></span>
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591
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<pre style="margin: 0;">+<span id="LC591" class="line" lang="haskell"></span>
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592
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<pre style="margin: 0;">+<span id="LC592" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">For simplicity however we apply this operator to the incoming demand</span></span>
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593
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<pre style="margin: 0;">+<span id="LC593" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">instead of the result. This has the same result of allowing us to reach</span></span>
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594
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<pre style="margin: 0;">+<span id="LC594" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">a fixpoint but has two benefits:</span></span>
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595
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<pre style="margin: 0;">+<span id="LC595" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC596" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">* There is only a single place where we need to care (in the argument of dmdAnal).</span></span>
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<pre style="margin: 0;">+<span id="LC597" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">* We can fully analyze functions taking apart deeply nested non-recursive types</span></span>
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<pre style="margin: 0;">+<span id="LC598" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC599" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">-}</span></span>
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600
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<pre style="margin: 0;"> <span id="LC600" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Recursive bindings</span></span>
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521
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<pre style="margin: 0;"> <span id="LC601" class="line" lang="haskell"><span class="n" style="color: #333;">dmdFix</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">TopLevelFlag</span></span>
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522
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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="kt" style="color: #458; font-weight: 600;">AnalEnv</span> <span class="c1" style="color: #998; font-style: italic;">-- Does not include bindings for this binding</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">@@ -623,15 +703,16 @@ dmdAnalRhsLetDown rec_flag env let_dmd id rhs</td>
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623
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703
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<pre style="margin: 0;"> <span id="LC703" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">where</span></span>
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624
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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;">rhs_arity</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">idArity</span> <span class="n" style="color: #333;">id</span></span>
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625
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705
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<pre style="margin: 0;"> <span id="LC705" class="line" lang="haskell"> <span class="n" style="color: #333;">rhs_dmd</span></span>
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626
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<pre style="margin: 0;">-<span id="LC626" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Demand analysis for join points]</span></span>
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<pre style="margin: 0;">-<span id="LC627" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Invariants on join points] invariant 2b, in GHC.Core</span></span>
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<pre style="margin: 0;">-<span id="LC628" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- rhs_arity matches the join arity of the join point</span></span>
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<pre style="margin: 0;">-<span id="LC629" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">isJoinId</span> <span class="n" style="color: #333;">id</span></span>
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<pre style="margin: 0;">-<span id="LC630" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkCallDmds</span> <span class="n" style="color: #333;">rhs_arity</span> <span class="n" style="color: #333;">let_dmd</span></span>
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<pre style="margin: 0;">-<span id="LC631" 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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<pre style="margin: 0;">-<span id="LC632" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- NB: rhs_arity</span></span>
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<pre style="margin: 0;">-<span id="LC633" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Demand signatures are computed for a threshold demand based on idArity]</span></span>
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<pre style="margin: 0;">-<span id="LC634" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkRhsDmd</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">rhs_arity</span> <span class="n" style="color: #333;">rhs</span></span>
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<pre style="margin: 0;">+<span id="LC706" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Demand analysis for join points]</span></span>
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<pre style="margin: 0;">+<span id="LC707" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Invariants on join points] invariant 2b, in GHC.Core</span></span>
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<pre style="margin: 0;">+<span id="LC708" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- rhs_arity matches the join arity of the join point</span></span>
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<pre style="margin: 0;">+<span id="LC709" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">isJoinId</span> <span class="n" style="color: #333;">id</span></span>
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<pre style="margin: 0;">+<span id="LC710" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkCallDmds</span> <span class="n" style="color: #333;">rhs_arity</span> <span class="n" style="color: #333;">let_dmd</span></span>
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<pre style="margin: 0;">+<span id="LC711" 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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<pre style="margin: 0;">+<span id="LC712" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- NB: rhs_arity</span></span>
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<pre style="margin: 0;">+<span id="LC713" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Demand signatures are computed for a threshold demand based on idArity]</span></span>
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<pre style="margin: 0;">+<span id="LC714" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkRhsDmd</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">rhs_arity</span> <span class="n" style="color: #333;">rhs</span></span>
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<pre style="margin: 0;">+<span id="LC715" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC716" class="line" lang="haskell"> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">DmdType</span> <span class="n" style="color: #333;">rhs_fv</span> <span class="n" style="color: #333;">rhs_dmds</span> <span class="n" style="color: #333;">rhs_div</span><span class="p">,</span> <span class="n" style="color: #333;">rhs'</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC717" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">dmdAnal</span> <span class="n" style="color: #333;">env</span> <span class="n" style="color: #333;">rhs_dmd</span> <span class="n" style="color: #333;">rhs</span></span>
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<pre style="margin: 0;"> <span id="LC718" class="line" lang="haskell"> <span class="n" style="color: #333;">sig</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkStrictSigForArity</span> <span class="n" style="color: #333;">rhs_arity</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">DmdType</span> <span class="n" style="color: #333;">sig_fv</span> <span class="n" style="color: #333;">rhs_dmds</span> <span class="n" style="color: #333;">rhs_div</span><span class="p">)</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">@@ -2750,6 +2750,9 @@ data RecTcChecker = RC !Int (NameEnv Int)</td>
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<pre style="margin: 0;"> <span id="LC2750" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- The upper bound, and the number of times</span></span>
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<pre style="margin: 0;"> <span id="LC2751" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- we have encountered each TyCon</span></span>
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<pre style="margin: 0;"> <span id="LC2752" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC2753" 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;">RecTcChecker</span> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;">+<span id="LC2754" 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;">RC</span> <span class="n" style="color: #333;">n</span> <span class="n" style="color: #333;">env</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">braces</span> <span class="p">(</span><span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"RC"</span> <span class="o" style="font-weight: 600;"><+></span> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">n</span> <span class="o" style="font-weight: 600;"><+></span> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">env</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC2755" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC2756" class="line" lang="haskell"><span class="cd">-- | Initialise a 'RecTcChecker' with 'defaultRecTcMaxBound'.</span></span>
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<pre style="margin: 0;"> <span id="LC2757" class="line" lang="haskell"><span class="n" style="color: #333;">initRecTc</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">RecTcChecker</span></span>
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<pre style="margin: 0;"> <span id="LC2758" class="line" lang="haskell"><span class="n" style="color: #333;">initRecTc</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">RC</span> <span class="n" style="color: #333;">defaultRecTcMaxBound</span> <span class="n" style="color: #333;">emptyNameEnv</span></span>
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<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/b23c6d7f8c61ade781c50e95f913bb1b2f45eda4#d09e98aae6ad2eb59d08eac7894b68c0ab820cda"><strong>compiler/GHC/Types/Demand.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">@@ -5,6 +5,7 @@</td>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">\section[Demand]{@Demand@: A decoupled implementation of a demand domain}</span></span>
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<pre style="margin: 0;"> <span id="LC6" 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="LC7" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# LANGUAGE BangPatterns #-}</span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# LANGUAGE CPP, FlexibleInstances, TypeSynonymInstances, RecordWildCards #-}</span></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# OPTIONS_GHC -Wno-incomplete-uni-patterns #-}</span></span>
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<pre style="margin: 0;"> <span id="LC11" 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">@@ -51,7 +52,9 @@ module GHC.Types.Demand (</td>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="haskell"> <span class="nf" style="color: #900; font-weight: 600;">useCount</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">isUsedOnce</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">reuseEnv</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC53" class="line" lang="haskell"> <span class="nf" style="color: #900; font-weight: 600;">zapUsageDemand</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">zapUsageEnvSig</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC54" class="line" lang="haskell"> <span class="nf" style="color: #900; font-weight: 600;">zapUsedOnceDemand</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">zapUsedOnceSig</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC54" class="line" lang="haskell"> <span class="nf" style="color: #900; font-weight: 600;">strictifyDictDmd</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">strictifyDmd</span></span>
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<pre style="margin: 0;">+<span id="LC55" class="line" lang="haskell"> <span class="nf" style="color: #900; font-weight: 600;">strictifyDictDmd</span><span class="p">,</span> <span class="nf" style="color: #900; font-weight: 600;">strictifyDmd</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC56" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC57" class="line" lang="haskell"> <span class="nf" style="color: #900; font-weight: 600;">widenDmd</span></span>
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<pre style="margin: 0;"> <span id="LC58" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC59" class="line" lang="haskell"> <span class="p">)</span> <span class="kr" style="font-weight: 600;">where</span></span>
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<pre style="margin: 0;"> <span id="LC60" 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">@@ -83,6 +86,12 @@ import GHC.Core.DataCon ( splitDataProductType_maybe )</td>
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<pre style="margin: 0;"> <span id="LC86" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">data</span> <span class="kt" style="color: #458; font-weight: 600;">JointDmd</span> <span class="n" style="color: #333;">s</span> <span class="n" style="color: #333;">u</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">JD</span> <span class="p">{</span> <span class="n" style="color: #333;">sd</span> <span class="o" style="font-weight: 600;">::</span> <span class="n" style="color: #333;">s</span><span class="p">,</span> <span class="n" style="color: #333;">ud</span> <span class="o" style="font-weight: 600;">::</span> <span class="n" style="color: #333;">u</span> <span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC87" 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 class="kt" style="color: #458; font-weight: 600;">Show</span> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC88" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC89" class="line" lang="haskell"><span class="cd">-- | Limit the depth of demands to the given nesting.</span></span>
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<pre style="margin: 0;">+<span id="LC90" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Any sub-demand exceeding this depth will be given the top</span></span>
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<pre style="margin: 0;">+<span id="LC91" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- demand for the respective domain.</span></span>
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<pre style="margin: 0;">+<span id="LC92" class="line" lang="haskell"><span class="n" style="color: #333;">widenDmd</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">Int</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">JointDmd</span> <span class="kt" style="color: #458; font-weight: 600;">StrDmd</span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">JointDmd</span> <span class="kt" style="color: #458; font-weight: 600;">StrDmd</span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span></span>
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<pre style="margin: 0;">+<span id="LC93" class="line" lang="haskell"><span class="n" style="color: #333;">widenDmd</span> <span class="n" style="color: #333;">n</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">JD</span> <span class="n" style="color: #333;">s</span> <span class="n" style="color: #333;">u</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">JD</span> <span class="p">(</span><span class="n" style="color: #333;">widenStrDmd</span> <span class="n" style="color: #333;">n</span> <span class="n" style="color: #333;">s</span><span class="p">)</span> <span class="p">(</span><span class="n" style="color: #333;">widenUseDmd</span> <span class="n" style="color: #333;">n</span> <span class="n" style="color: #333;">u</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC94" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC95" class="line" lang="haskell"><span class="n" style="color: #333;">getStrDmd</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">JointDmd</span> <span class="n" style="color: #333;">s</span> <span class="n" style="color: #333;">u</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">s</span></span>
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<pre style="margin: 0;"> <span id="LC96" class="line" lang="haskell"><span class="n" style="color: #333;">getStrDmd</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sd</span></span>
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<pre style="margin: 0;"> <span id="LC97" 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">@@ -206,6 +215,21 @@ data StrDmd</td>
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<pre style="margin: 0;"> <span id="LC215" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC216" 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 class="kt" style="color: #458; font-weight: 600;">Show</span> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC217" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC218" class="line" lang="haskell"><span class="n" style="color: #333;">widenStrDmd</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">Int</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">StrDmd</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">StrDmd</span></span>
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<pre style="margin: 0;">+<span id="LC219" class="line" lang="haskell"><span class="n" style="color: #333;">widenStrDmd</span> <span class="o" style="font-weight: 600;">!</span><span class="n" style="color: #333;">n</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span></span>
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<pre style="margin: 0;">+<span id="LC220" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">d</span> <span class="kr" style="font-weight: 600;">of</span></span>
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<pre style="margin: 0;">+<span id="LC221" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">HyperStr</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">HyperStr</span></span>
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<pre style="margin: 0;">+<span id="LC222" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">HeadStr</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">HeadStr</span></span>
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<pre style="margin: 0;">+<span id="LC223" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">SCall</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">SCall</span> <span class="o" style="font-weight: 600;">$!</span> <span class="n" style="color: #333;">widenStrDmd</span> <span class="n" style="color: #333;">n</span> <span class="n" style="color: #333;">d</span></span>
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<pre style="margin: 0;">+<span id="LC224" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">SProd</span> <span class="n" style="color: #333;">args</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">SProd</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">map</span> <span class="p">(</span><span class="n" style="color: #333;">widenStrArgDmd</span> <span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="n" style="color: #333;">args</span></span>
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<pre style="margin: 0;">+<span id="LC225" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC226" class="line" lang="haskell"><span class="n" style="color: #333;">widenStrArgDmd</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">Int</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArgStr</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArgStr</span></span>
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<pre style="margin: 0;">+<span id="LC227" class="line" lang="haskell"><span class="n" style="color: #333;">widenStrArgDmd</span> <span class="mi" style="color: #099;">0</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;">Lazy</span></span>
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<pre style="margin: 0;">+<span id="LC228" class="line" lang="haskell"><span class="n" style="color: #333;">widenStrArgDmd</span> <span class="n" style="color: #333;">n</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span></span>
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<pre style="margin: 0;">+<span id="LC229" class="line" lang="haskell"> <span class="kr" style="font-weight: 600;">case</span> <span class="n" style="color: #333;">d</span> <span class="kr" style="font-weight: 600;">of</span></span>
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<pre style="margin: 0;">+<span id="LC230" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Lazy</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Lazy</span></span>
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<pre style="margin: 0;">+<span id="LC231" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Str</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Str</span> <span class="o" style="font-weight: 600;">$!</span> <span class="n" style="color: #333;">widenStrDmd</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 class="n" style="color: #333;">d</span></span>
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<pre style="margin: 0;">+<span id="LC232" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC233" class="line" lang="haskell"><span class="cd">-- | Strictness of a function argument.</span></span>
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<pre style="margin: 0;"> <span id="LC234" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">type</span> <span class="kt" style="color: #458; font-weight: 600;">ArgStr</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Str</span> <span class="kt" style="color: #458; font-weight: 600;">StrDmd</span></span>
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<pre style="margin: 0;"> <span id="LC235" 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">@@ -330,14 +354,20 @@ splitStrProdDmd _ (SCall {}) = Nothing</td>
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330
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354
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<pre style="margin: 0;"> <span id="LC354" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> UHead</span></span>
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<pre style="margin: 0;"> <span id="LC355" 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="LC356" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> Count x -</span></span>
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<pre style="margin: 0;">-<span id="LC333" 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="LC334" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> Abs</span></span>
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<pre style="margin: 0;">+<span id="LC357" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> <span class="idiff left right"> </span>|</span></span>
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<pre style="margin: 0;">+<span id="LC358" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> <span class="idiff left right"> </span>Abs</span></span>
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<pre style="margin: 0;"> <span id="LC359" 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="LC360" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC361" class="line" lang="haskell"><span class="cd">-- | Domain for genuine usage</span></span>
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<pre style="margin: 0;"> <span id="LC362" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">data</span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span></span>
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<pre style="margin: 0;">-<span id="LC339" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">UCall</span> <span class="kt" style="color: #458; font-weight: 600;">Count</span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span> <span class="c1" style="color: #998; font-style: italic;">-- ^ Call demand for absence.</span></span>
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<pre style="margin: 0;">+<span id="LC363" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">UCall</span> <span class="kt" style="color: #458; font-weight: 600;">Count</span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span> <span class="c1" style="color: #998; font-style: italic;">-- ^ Call demand for absence<span class="idiff left right"> analysis</span>.</span></span>
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<pre style="margin: 0;"> <span id="LC364" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- Used only for values of function type</span></span>
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<pre style="margin: 0;">+<span id="LC365" 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="LC366" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- The Count argument describes how often the</span></span>
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<pre style="margin: 0;">+<span id="LC367" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- value itself is used.</span></span>
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<pre style="margin: 0;">+<span id="LC368" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- The UseDmd describes how often we use the result</span></span>
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<pre style="margin: 0;">+<span id="LC369" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- of applying one argument to the value. This can</span></span>
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<pre style="margin: 0;">+<span id="LC370" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- and often is nested for multiple arguments.</span></span>
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<pre style="margin: 0;"> <span id="LC371" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC372" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">UProd</span> <span class="p">[</span><span class="kt" style="color: #458; font-weight: 600;">ArgUse</span><span class="p">]</span> <span class="c1" style="color: #998; font-style: italic;">-- ^ Product.</span></span>
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<pre style="margin: 0;"> <span id="LC373" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- Used only for values of product type</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">@@ -363,6 +393,18 @@ data UseDmd</td>
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<pre style="margin: 0;"> <span id="LC393" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- (top of the lattice)</span></span>
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<pre style="margin: 0;"> <span id="LC394" 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 class="kt" style="color: #458; font-weight: 600;">Show</span> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC395" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC396" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseDmd</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">Int</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span></span>
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397
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<pre style="margin: 0;">+<span id="LC397" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseDmd</span> <span class="mi" style="color: #099;">0</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;">Used</span></span>
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398
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<pre style="margin: 0;">+<span id="LC398" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseDmd</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kt" style="color: #458; font-weight: 600;">UHead</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">UHead</span></span>
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399
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<pre style="margin: 0;">+<span id="LC399" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseDmd</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kt" style="color: #458; font-weight: 600;">Used</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Used</span></span>
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400
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<pre style="margin: 0;">+<span id="LC400" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseDmd</span> <span class="n" style="color: #333;">n</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">UCall</span> <span class="n" style="color: #333;">c</span> <span class="n" style="color: #333;">d</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">UCall</span> <span class="n" style="color: #333;">c</span> <span class="o" style="font-weight: 600;">$!</span> <span class="n" style="color: #333;">widenUseDmd</span> <span class="n" style="color: #333;">n</span> <span class="n" style="color: #333;">d</span></span>
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401
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<pre style="margin: 0;">+<span id="LC401" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseDmd</span> <span class="n" style="color: #333;">n</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">UProd</span> <span class="n" style="color: #333;">args</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">UProd</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">map</span> <span class="p">(</span><span class="n" style="color: #333;">widenUseArg</span> <span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="n" style="color: #333;">args</span></span>
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402
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<pre style="margin: 0;">+<span id="LC402" class="line" lang="haskell"></span>
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403
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<pre style="margin: 0;">+<span id="LC403" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseArg</span> <span class="o" style="font-weight: 600;">::</span> <span class="kt" style="color: #458; font-weight: 600;">Int</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArgUse</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ArgUse</span></span>
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404
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<pre style="margin: 0;">+<span id="LC404" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseArg</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kt" style="color: #458; font-weight: 600;">Abs</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Abs</span></span>
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405
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<pre style="margin: 0;">+<span id="LC405" class="line" lang="haskell"><span class="n" style="color: #333;">widenUseArg</span> <span class="n" style="color: #333;">n</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Use</span> <span class="n" style="color: #333;">c</span> <span class="n" style="color: #333;">d</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Use</span> <span class="n" style="color: #333;">c</span> <span class="o" style="font-weight: 600;">$!</span> <span class="n" style="color: #333;">widenUseDmd</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 class="n" style="color: #333;">d</span></span>
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406
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<pre style="margin: 0;">+<span id="LC406" class="line" lang="haskell"></span>
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407
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<pre style="margin: 0;">+<span id="LC407" class="line" lang="haskell"></span>
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366
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408
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<pre style="margin: 0;"> <span id="LC408" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Extended usage demand for absence and counting</span></span>
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367
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409
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<pre style="margin: 0;"> <span id="LC409" class="line" lang="haskell"><span class="kr" style="font-weight: 600;">type</span> <span class="kt" style="color: #458; font-weight: 600;">ArgUse</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">Use</span> <span class="kt" style="color: #458; font-weight: 600;">UseDmd</span></span>
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368
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410
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<pre style="margin: 0;"> <span id="LC410" class="line" lang="haskell"></span>
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