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<h3>
Ben Gamari pushed to branch master
at <a href="https://gitlab.haskell.org/ghc/ghc">Glasgow Haskell Compiler / GHC</a>
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Commits:
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<strong><a href="https://gitlab.haskell.org/ghc/ghc/-/commit/07b0db86595890dfca6f624e554cdb8c9b86d0cc">07b0db86</a></strong>
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<span>by f-a</span>
<i>at 2020-10-16T10:14:39-04:00</i>
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<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Clarify Eq documentation #18713</pre>
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<h4>1 changed file:</h4>
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libraries/ghc-prim/GHC/Classes.hs
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<h4>Changes:</h4>
<li id="d6870de4196b481929e53ffca7e415c3a09a9946">
<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/07b0db86595890dfca6f624e554cdb8c9b86d0cc#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">@@ -125,18 +125,13 @@ and @('>=')@ for the types in "GHC.Word" and "GHC.Int".</td>
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<pre style="margin: 0;"> <span id="LC125" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- and 'Eq' may be derived for any datatype whose constituents are also</span></span>
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<pre style="margin: 0;"> <span id="LC126" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- instances of 'Eq'.</span></span>
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<pre style="margin: 0;"> <span id="LC127" 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="LC128" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- The Haskell Report defines no laws for 'Eq'. However, '==' is customarily</span></span>
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<pre style="margin: 0;">-<span id="LC129" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- expected to implement an equivalence relationship where two values comparing</span></span>
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<pre style="margin: 0;">-<span id="LC130" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- equal are indistinguishable by "public" functions, with a "public" function</span></span>
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<pre style="margin: 0;">-<span id="LC131" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- being one not allowing to see implementation details. For example, for a</span></span>
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<pre style="margin: 0;">-<span id="LC132" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- type representing non-normalised natural numbers modulo 100, a "public"</span></span>
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<pre style="margin: 0;">-<span id="LC133" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- function doesn't make the difference between 1 and 201. It is expected to</span></span>
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<pre style="margin: 0;">-<span id="LC134" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- have the following properties:</span></span>
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<pre style="margin: 0;">+<span id="LC128" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- The Haskell Report defines no laws for 'Eq'. However, instances are</span></span>
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<pre style="margin: 0;">+<span id="LC129" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- encouraged to follow these properties:</span></span>
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<pre style="margin: 0;"> <span id="LC130" 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="LC131" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- [__Reflexivity__]: @x == x@ = 'True'</span></span>
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<pre style="margin: 0;"> <span id="LC132" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- [__Symmetry__]: @x == y@ = @y == x@</span></span>
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<pre style="margin: 0;"> <span id="LC133" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- [__Transitivity__]: if @x == y && y == z@ = 'True', then @x == z@ = 'True'</span></span>
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<pre style="margin: 0;">-<span id="LC139" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- [__<span class="idiff left right">Substitutivity__]: if @x == y@ = 'True' and @f@ is a "public"</span> function</span></span>
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<pre style="margin: 0;">+<span id="LC134" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- [__<span class="idiff left right">Extensionality__]: if @x == y@ = 'True' and @f@ is a</span> function</span></span>
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<pre style="margin: 0;"> <span id="LC135" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- whose return type is an instance of 'Eq', then @f x == f y@ = 'True'</span></span>
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<pre style="margin: 0;"> <span id="LC136" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- [__Negation__]: @x /= y@ = @not (x == y)@</span></span>
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<pre style="margin: 0;"> <span id="LC137" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -234,7 +229,7 @@ eqChar, neChar :: Char -> Char -> Bool</td>
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<pre style="margin: 0;"> <span id="LC229" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- >>> 0/0 == (0/0 :: Float)</span></span>
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<pre style="margin: 0;"> <span id="LC230" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- False</span></span>
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<pre style="margin: 0;"> <span id="LC231" 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="LC237" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Also note that `Float`'s 'Eq' instance does not satisfy <span class="idiff left right">substitutiv</span>ity:</span></span>
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<pre style="margin: 0;">+<span id="LC232" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Also note that `Float`'s 'Eq' instance does not satisfy <span class="idiff left right">extensional</span>ity:</span></span>
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<pre style="margin: 0;"> <span id="LC233" 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="LC234" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- >>> 0 == (-0 :: Float)</span></span>
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<pre style="margin: 0;"> <span id="LC235" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- True</span></span>
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