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<h3>
Andreas Klebinger pushed to branch wip/andreask/inline_div
at <a href="https://gitlab.haskell.org/ghc/ghc">Glasgow Haskell Compiler / GHC</a>
</h3>
<h4>
Commits:
</h4>
<ul>
<li>
<strong><a href="https://gitlab.haskell.org/ghc/ghc/-/commit/062201daeadfd2c273ab256be70a22114be3a7e3">062201da</a></strong>
<div>
<span>by Andreas Klebinger</span>
<i>at 2020-04-17T12:56:35+02:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Always inline divInt and modInt in phase zero.

This prevents the overhead of a function call for
operations which really only need to be a few instructions.

By always inlining them in phase zero we can:
* Match on them via rules in earlier phases.
* Can constant fold on them in phase zero by
  rules on their underlying primitives.

This fixes #18067
</pre>
</li>
</ul>
<h4>2 changed files:</h4>
<ul>
<li class="file-stats">
<a href="#2755f32886c2656f273820ffb30a84a5a8be7a3a">
libraries/base/GHC/Base.hs
</a>
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<li class="file-stats">
<a href="#d6870de4196b481929e53ffca7e415c3a09a9946">
libraries/ghc-prim/GHC/Classes.hs
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</li>
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<h4>Changes:</h4>
<li id="2755f32886c2656f273820ffb30a84a5a8be7a3a">
<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/062201daeadfd2c273ab256be70a22114be3a7e3#2755f32886c2656f273820ffb30a84a5a8be7a3a"><strong>libraries/base/GHC/Base.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">@@ -1545,9 +1545,34 @@ getTag x = dataToTag# x</td>
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<pre style="margin: 0;"> <span id="LC1545" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Definitions of the boxed PrimOps; these will be</span></span>
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<pre style="margin: 0;"> <span id="LC1546" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- used in the case of partial applications, etc.</span></span>
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<pre style="margin: 0;"> <span id="LC1547" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC1548" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">{- Note [Inlining divInt, modInt]</span></span>
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<pre style="margin: 0;">+<span id="LC1549" 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="LC1550" class="line" lang="haskell"></span>
</pre>
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<pre style="margin: 0;">+<span id="LC1551" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   divInt and modInt are implemented in terms of</span></span>
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<pre style="margin: 0;">+<span id="LC1552" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   the quotInt#/remInt# primOps.</span></span>
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<pre style="margin: 0;">+<span id="LC1553" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC1554" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   My marking them as INLINE[0] we achieve two things:</span></span>
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<pre style="margin: 0;">+<span id="LC1555" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC1556" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   * We can match on them in the early phases via rules.</span></span>
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<pre style="margin: 0;">+<span id="LC1557" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   * We can constant fold via rules on quotInt#/remInt# in</span></span>
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<pre style="margin: 0;">+<span id="LC1558" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">     phase zero if they are applied to constants.</span></span>
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<pre style="margin: 0;">+<span id="LC1559" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC1560" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   This solves #18067 where we observed divInt ending up</span></span>
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<pre style="margin: 0;">+<span id="LC1561" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   as a uninlined call at times.</span></span>
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<td class="diff-line-num new old_line" data-linenumber="1548" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1562" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1562
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1562" class="line" lang="haskell"></span>
</pre>
</td>
</tr>
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<td class="diff-line-num new old_line" data-linenumber="1548" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1563" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1563
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1563" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   TODO: It might be good to apply the same pattern to</span></span>
</pre>
</td>
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<td class="diff-line-num new old_line" data-linenumber="1548" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1564" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1564
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1564" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   quotRemInt and divModInt. But I have not looked at this</span></span>
</pre>
</td>
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<tr class="line_holder new" id="" style="line-height: 1.6;">
<td class="diff-line-num new old_line" data-linenumber="1548" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1565" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1565
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1565" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">   yet.</span></span>
</pre>
</td>
</tr>
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<td class="diff-line-num new old_line" data-linenumber="1548" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1566" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1566
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1566" class="line" lang="haskell"></span>
</pre>
</td>
</tr>
<tr class="line_holder new" id="" style="line-height: 1.6;">
<td class="diff-line-num new old_line" data-linenumber="1548" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1567" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1567
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1567" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">-}</span></span>
</pre>
</td>
</tr>
<tr class="line_holder new" id="" style="line-height: 1.6;">
<td class="diff-line-num new old_line" data-linenumber="1548" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1568" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1568
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1568" class="line" lang="haskell"></span>
</pre>
</td>
</tr>
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<td class="diff-line-num old_line" data-linenumber="1548" 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">
1548
</td>
<td class="diff-line-num new_line" data-linenumber="1569" 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">
1569
</td>
<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC1569" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# INLINE quotInt #-}</span></span>
</pre>
</td>
</tr>
<tr class="line_holder" id="" style="line-height: 1.6;">
<td class="diff-line-num old_line" data-linenumber="1549" 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">
1549
</td>
<td class="diff-line-num new_line" data-linenumber="1570" 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">
1570
</td>
<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC1570" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# INLINE remInt #-}</span></span>
</pre>
</td>
</tr>
<tr class="line_holder" id="" style="line-height: 1.6;">
<td class="diff-line-num old_line" data-linenumber="1550" 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">
1550
</td>
<td class="diff-line-num new_line" data-linenumber="1571" 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">
1571
</td>
<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC1571" class="line" lang="haskell"></span>
</pre>
</td>
</tr>
<tr class="line_holder new" id="" style="line-height: 1.6;">
<td class="diff-line-num new old_line" data-linenumber="1551" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1572" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1572
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1572" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- See Note [Inlining divInt, modInt]</span></span>
</pre>
</td>
</tr>
<tr class="line_holder new" id="" style="line-height: 1.6;">
<td class="diff-line-num new old_line" data-linenumber="1551" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1573" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1573
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1573" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# INLINE[0] divInt #-}</span></span>
</pre>
</td>
</tr>
<tr class="line_holder new" id="" style="line-height: 1.6;">
<td class="diff-line-num new old_line" data-linenumber="1551" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1574" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1574
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1574" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# INLINE[0] modInt #-}</span></span>
</pre>
</td>
</tr>
<tr class="line_holder new" id="" style="line-height: 1.6;">
<td class="diff-line-num new old_line" data-linenumber="1551" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
 
</td>
<td class="diff-line-num new new_line" data-linenumber="1575" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
1575
</td>
<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC1575" class="line" lang="haskell"></span>
</pre>
</td>
</tr>
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<td class="diff-line-num old_line" data-linenumber="1551" 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">
1551
</td>
<td class="diff-line-num new_line" data-linenumber="1576" 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">
1576
</td>
<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC1576" class="line" lang="haskell"><span class="n" style="color: #333;">quotInt</span><span class="p">,</span> <span class="n" style="color: #333;">remInt</span><span class="p">,</span> <span class="n" style="color: #333;">divInt</span><span class="p">,</span> <span class="n" style="color: #333;">modInt</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;">Int</span> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">Int</span></span>
</pre>
</td>
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<td class="diff-line-num old_line" data-linenumber="1552" 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">
1552
</td>
<td class="diff-line-num new_line" data-linenumber="1577" 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">
1577
</td>
<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC1577" class="line" lang="haskell"><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">I</span><span class="o" style="font-weight: 600;">#</span> <span class="n" style="color: #333;">x</span><span class="p">)</span> <span class="p">`</span><span class="n" style="color: #333;">quotInt</span><span class="p">`</span>  <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">I</span><span class="o" style="font-weight: 600;">#</span> <span class="n" style="color: #333;">y</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">I</span><span class="o" style="font-weight: 600;">#</span> <span class="p">(</span><span class="n" style="color: #333;">x</span> <span class="p">`</span><span class="n" style="color: #333;">quotInt</span><span class="o" style="font-weight: 600;">#</span><span class="p">`</span> <span class="n" style="color: #333;">y</span><span class="p">)</span></span>
</pre>
</td>
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<td class="diff-line-num old_line" data-linenumber="1553" 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">
1553
</td>
<td class="diff-line-num new_line" data-linenumber="1578" 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">
1578
</td>
<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC1578" class="line" lang="haskell"><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">I</span><span class="o" style="font-weight: 600;">#</span> <span class="n" style="color: #333;">x</span><span class="p">)</span> <span class="p">`</span><span class="n" style="color: #333;">remInt</span><span class="p">`</span>   <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">I</span><span class="o" style="font-weight: 600;">#</span> <span class="n" style="color: #333;">y</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="kt" style="color: #458; font-weight: 600;">I</span><span class="o" style="font-weight: 600;">#</span> <span class="p">(</span><span class="n" style="color: #333;">x</span> <span class="p">`</span><span class="n" style="color: #333;">remInt</span><span class="o" style="font-weight: 600;">#</span><span class="p">`</span>  <span class="n" style="color: #333;">y</span><span class="p">)</span></span>
</pre>
</td>
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<br>
</li>
<li id="d6870de4196b481929e53ffca7e415c3a09a9946">
<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/062201daeadfd2c273ab256be70a22114be3a7e3#d6870de4196b481929e53ffca7e415c3a09a9946"><strong>libraries/ghc-prim/GHC/Classes.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">@@ -545,8 +545,8 @@ not False               =  True</td>
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<pre style="margin: 0;"> <span id="LC545" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- put them</span></span>
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<pre style="margin: 0;"> <span id="LC546" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC547" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- These functions have built-in rules.</span></span>
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<pre style="margin: 0;">-<span id="LC548" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# <span class="idiff left right">NO</span>INLINE [0] divInt# #-}</span></span>
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<pre style="margin: 0;">-<span id="LC549" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# <span class="idiff left right">NO</span>INLINE [0] modInt# #-}</span></span>
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<pre style="margin: 0;">+<span id="LC548" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# INLINE [0] divInt# #-}</span></span>
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<pre style="margin: 0;">+<span id="LC549" class="line" lang="haskell"><span class="cp" style="color: #999; font-weight: 600;">{-# INLINE [0] modInt# #-}</span></span>
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<pre style="margin: 0;"> <span id="LC550" class="line" lang="haskell"><span class="n" style="color: #333;">divInt</span><span class="o" style="font-weight: 600;">#</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="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="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>
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<pre style="margin: 0;"> <span id="LC551" class="line" lang="haskell"><span class="n" style="color: #333;">x</span><span class="o" style="font-weight: 600;">#</span> <span class="p">`</span><span class="n" style="color: #333;">divInt</span><span class="o" style="font-weight: 600;">#</span><span class="p">`</span> <span class="n" style="color: #333;">y</span><span class="o" style="font-weight: 600;">#</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;">-- Be careful NOT to overflow if we do any additional arithmetic</span></span>
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