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Marge Bot 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/cf01477f03da13caaf78caacc5b001cb46a86685">cf01477f</a></strong>
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<span>by Vladislav Zavialov</span>
<i>at 2020-06-15T13:11:20-04:00</i>
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<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">User's Guide: KnownNat evidence is Natural
This bit of documentation got outdated after commit
1fcede43d2b30f33b7505e25eb6b1f321be0407f
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<h4>2 changed files:</h4>
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compiler/GHC/Tc/Instance/Class.hs
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docs/users_guide/exts/type_literals.rst
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<h4>Changes:</h4>
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<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/cf01477f03da13caaf78caacc5b001cb46a86685#aebe2c3d616f6843166d2657bed048898add6bc9"><strong>compiler/GHC/Tc/Instance/Class.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">@@ -259,12 +259,12 @@ Note [KnownNat & KnownSymbol and EvLit]</td>
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<pre style="margin: 0;"> <span id="LC259" 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="LC260" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">A part of the type-level literals implementation are the classes</span></span>
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<pre style="margin: 0;"> <span id="LC261" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">"KnownNat" and "KnownSymbol", which provide a "smart" constructor for</span></span>
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<pre style="margin: 0;">-<span id="LC262" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">defining singleton values. Here is the key stuff from GHC.Type<span class="idiff left right">Li</span>ts</span></span>
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<pre style="margin: 0;">+<span id="LC262" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">defining singleton values. Here is the key stuff from GHC.Type<span class="idiff left right">Na</span>ts</span></span>
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<pre style="margin: 0;"> <span id="LC263" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC264" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> class KnownNat (n :: Nat) where</span></span>
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<pre style="margin: 0;"> <span id="LC265" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> natSing :: SNat n</span></span>
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<pre style="margin: 0;"> <span id="LC266" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC267" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> newtype SNat (n :: Nat) = SNat <span class="idiff left right">Integer</span></span></span>
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<pre style="margin: 0;">+<span id="LC267" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> newtype SNat (n :: Nat) = SNat <span class="idiff left right">Natural</span></span></span>
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<pre style="margin: 0;"> <span id="LC268" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC269" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Conceptually, this class has infinitely many instances:</span></span>
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<pre style="margin: 0;"> <span id="LC270" 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">@@ -291,10 +291,10 @@ Also note that `natSing` and `SNat` are never actually exposed from the</td>
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<pre style="margin: 0;"> <span id="LC291" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">library---they are just an implementation detail. Instead, users see</span></span>
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<pre style="margin: 0;"> <span id="LC292" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">a more convenient function, defined in terms of `natSing`:</span></span>
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<pre style="margin: 0;"> <span id="LC293" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC294" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> natVal :: KnownNat n => proxy n -> <span class="idiff left right">Integer</span></span></span>
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<pre style="margin: 0;">+<span id="LC294" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> natVal :: KnownNat n => proxy n -> <span class="idiff left right">Natural</span></span></span>
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<pre style="margin: 0;"> <span id="LC295" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC296" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">The reason we don't use this directly in the class is that it is simpler</span></span>
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<pre style="margin: 0;">-<span id="LC297" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">and more efficient to pass around a<span class="idiff left right">n integer</span> rather than an entire function,</span></span>
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<pre style="margin: 0;">+<span id="LC297" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">and more efficient to pass around a<span class="idiff left right"> Natural</span> rather than an entire function,</span></span>
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<pre style="margin: 0;"> <span id="LC298" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">especially when the `KnowNat` evidence is packaged up in an existential.</span></span>
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<pre style="margin: 0;"> <span id="LC299" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC300" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">The story for kind `Symbol` is analogous:</span></span>
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<a href="https://gitlab.haskell.org/ghc/ghc/-/commit/cf01477f03da13caaf78caacc5b001cb46a86685#29dc3b2b1c0cb98b837ebf6ad4e0906522450f3a"><strong>docs/users_guide/exts/type_literals.rst</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">@@ -10,10 +10,10 @@ Numeric literals are of kind ``Nat``, while string literals are of kind</td>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="plaintext">extension.</span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="plaintext">The kinds of the literals and all other low-level operations for this</span>
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<pre style="margin: 0;">-<span id="LC13" class="line" lang="plaintext">feature are defined in module<span class="idiff left right"> ``GHC.TypeLits``. Note that the module</span></span>
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<pre style="margin: 0;">-<span id="LC14" class="line" lang="plaintext"><span class="idiff left right">defines some type-level operators that clash with their value-level</span></span>
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<pre style="margin: 0;">-<span id="LC15" class="line" lang="plaintext"><span class="idiff left right">counterparts (e.g. ``(+)``). Import and export declarations referring to</span></span>
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<pre style="margin: 0;">-<span id="LC16" class="line" lang="plaintext">these operators require an explicit namespace annotation (see</span>
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<pre style="margin: 0;">+<span id="LC13" class="line" lang="plaintext">feature are defined in module<span class="idiff left right">s ``GHC.TypeLits`` and ``GHC.TypeNats``.</span></span>
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<pre style="margin: 0;">+<span id="LC14" class="line" lang="plaintext"><span class="idiff left right">Note that these modules define some type-level operators that clash with their</span></span>
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<pre style="margin: 0;">+<span id="LC15" class="line" lang="plaintext"><span class="idiff left right">value-level counterparts (e.g. ``(+)``). Import and export declarations</span></span>
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<pre style="margin: 0;">+<span id="LC16" class="line" lang="plaintext"><span class="idiff left right">referring to </span>these operators require an explicit namespace annotation (see</span>
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<pre style="margin: 0;"> <span id="LC17" class="line" lang="plaintext">:ref:`explicit-namespaces`).</span>
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<pre style="margin: 0;"> <span id="LC18" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC19" class="line" lang="plaintext">Here is an example of using type-level numeric literals to provide a</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">@@ -59,7 +59,8 @@ a type-level literal. This is done with the functions ``natVal`` and</td>
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<pre style="margin: 0;"> <span id="LC59" class="line" lang="plaintext">These functions are overloaded because they need to return a different</span>
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<pre style="margin: 0;"> <span id="LC60" class="line" lang="plaintext">result, depending on the type at which they are instantiated. ::</span>
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<pre style="margin: 0;"> <span id="LC61" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC62" class="line" lang="plaintext"> natVal :: KnownNat n => proxy n -> Integer</span>
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<pre style="margin: 0;">+<span id="LC62" class="line" lang="plaintext"> natVal :: KnownNat n => proxy n -> Natural -- from GHC.TypeNats</span>
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<pre style="margin: 0;">+<span id="LC63" class="line" lang="plaintext"> natVal :: KnownNat n => proxy n -> Integer -- from GHC.TypeLits</span>
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<pre style="margin: 0;"> <span id="LC64" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC65" class="line" lang="plaintext"> -- instance KnownNat 0</span>
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<pre style="margin: 0;"> <span id="LC66" class="line" lang="plaintext"> -- instance KnownNat 1</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">@@ -79,7 +80,9 @@ will be unknown at compile-time, so it is hidden in an existential type.</td>
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<pre style="margin: 0;"> <span id="LC80" class="line" lang="plaintext">The conversion may be performed using ``someNatVal`` for integers and</span>
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<pre style="margin: 0;"> <span id="LC81" class="line" lang="plaintext">``someSymbolVal`` for strings: ::</span>
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<pre style="margin: 0;"> <span id="LC82" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">-<span id="LC82" class="line" lang="plaintext"> someNatVal :: Integer -> Maybe SomeNat</span>
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<pre style="margin: 0;">+<span id="LC83" class="line" lang="plaintext"> someNatVal :: Natural -> Maybe SomeNat -- from GHC.TypeNats</span>
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<pre style="margin: 0;">+<span id="LC84" class="line" lang="plaintext"> someNatVal :: Integer -> Maybe SomeNat -- from GHC.TypeLits</span>
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<pre style="margin: 0;">+<span id="LC85" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC86" class="line" lang="plaintext"> SomeNat :: KnownNat n => Proxy n -> SomeNat</span>
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<pre style="margin: 0;"> <span id="LC87" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC88" class="line" lang="plaintext">The operations on strings are similar.</span>
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