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<pre><a name="line-1"></a><span class='hs-comment'>{- |
<a name="line-2"></a> Module : $Header$
<a name="line-3"></a> Description : Internal representation of kinds
<a name="line-4"></a> Copyright : (c) 2016 Finn Teegen
<a name="line-5"></a> License : BSD-3-clause
<a name="line-6"></a>
<a name="line-7"></a> Maintainer : bjp@informatik.uni-kiel.de
<a name="line-8"></a> Stability : experimental
<a name="line-9"></a> Portability : portable
<a name="line-10"></a>
<a name="line-11"></a> This module modules provides the definitions for the internal
<a name="line-12"></a> representation of kinds in the compiler.
<a name="line-13"></a>-}</span>
<a name="line-14"></a>
<a name="line-15"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Base</span><span class='hs-varop'>.</span><span class='hs-conid'>Kinds</span> <span class='hs-keyword'>where</span>
<a name="line-16"></a>
<a name="line-17"></a><span class='hs-comment'>-- A kind is either *, which is the kind of a value's type, a kind</span>
<a name="line-18"></a><span class='hs-comment'>-- variable, or an arrow kind. Kind variables are used internally during</span>
<a name="line-19"></a><span class='hs-comment'>-- kind inference. Kind variables are not supported in Curry kind</span>
<a name="line-20"></a><span class='hs-comment'>-- expressions and all kind variables that remain free after kind</span>
<a name="line-21"></a><span class='hs-comment'>-- inference are instantiated to *.</span>
<a name="line-22"></a>
<a name="line-23"></a><a name="Kind"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Kind</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>KindStar</span>
<a name="line-24"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>KindVariable</span> <span class='hs-conid'>Int</span>
<a name="line-25"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>KindArrow</span> <span class='hs-conid'>Kind</span> <span class='hs-conid'>Kind</span>
<a name="line-26"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span> <span class='hs-conid'>Show</span><span class='hs-layout'>)</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="kindArity"></a><span class='hs-comment'>-- |The function 'kindArity' computes the arity n of a kind.</span>
<a name="line-29"></a><span class='hs-definition'>kindArity</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Kind</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span>
<a name="line-30"></a><span class='hs-definition'>kindArity</span> <span class='hs-layout'>(</span><span class='hs-conid'>KindArrow</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-varop'>+</span> <span class='hs-varid'>kindArity</span> <span class='hs-varid'>k</span>
<a name="line-31"></a><span class='hs-definition'>kindArity</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>0</span>
<a name="line-32"></a>
<a name="line-33"></a><a name="kindVars"></a><span class='hs-comment'>-- |The function 'kindVars' returns a list of all kind variables</span>
<a name="line-34"></a><span class='hs-comment'>-- occurring in a kind.</span>
<a name="line-35"></a><span class='hs-definition'>kindVars</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Kind</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span>
<a name="line-36"></a><span class='hs-definition'>kindVars</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>vars</span> <span class='hs-varid'>k</span> <span class='hs-conid'>[]</span>
<a name="line-37"></a> <span class='hs-keyword'>where</span>
<a name="line-38"></a> <span class='hs-varid'>vars</span> <span class='hs-conid'>KindStar</span> <span class='hs-varid'>kvs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>kvs</span>
<a name="line-39"></a> <span class='hs-varid'>vars</span> <span class='hs-layout'>(</span><span class='hs-conid'>KindVariable</span> <span class='hs-varid'>kv</span><span class='hs-layout'>)</span> <span class='hs-varid'>kvs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>kv</span> <span class='hs-conop'>:</span> <span class='hs-varid'>kvs</span>
<a name="line-40"></a> <span class='hs-varid'>vars</span> <span class='hs-layout'>(</span><span class='hs-conid'>KindArrow</span> <span class='hs-varid'>k1</span> <span class='hs-varid'>k2</span><span class='hs-layout'>)</span> <span class='hs-varid'>kvs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>vars</span> <span class='hs-varid'>k1</span> <span class='hs-varop'>$</span> <span class='hs-varid'>vars</span> <span class='hs-varid'>k2</span> <span class='hs-varid'>kvs</span>
<a name="line-41"></a>
<a name="line-42"></a><a name="defaultKind"></a><span class='hs-comment'>-- |The function 'defaultKind' instantiates all kind variables</span>
<a name="line-43"></a><span class='hs-comment'>-- occurring in a kind to *.</span>
<a name="line-44"></a><span class='hs-definition'>defaultKind</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Kind</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Kind</span>
<a name="line-45"></a><span class='hs-definition'>defaultKind</span> <span class='hs-layout'>(</span><span class='hs-conid'>KindArrow</span> <span class='hs-varid'>k1</span> <span class='hs-varid'>k2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>KindArrow</span> <span class='hs-layout'>(</span><span class='hs-varid'>defaultKind</span> <span class='hs-varid'>k1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>defaultKind</span> <span class='hs-varid'>k2</span><span class='hs-layout'>)</span>
<a name="line-46"></a><span class='hs-definition'>defaultKind</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>KindStar</span>
<a name="line-47"></a>
<a name="line-48"></a><a name="simpleKind"></a><span class='hs-comment'>-- |The function 'simpleKind' returns the kind of a type</span>
<a name="line-49"></a><span class='hs-comment'>-- constructor with arity n whose arguments all have kind *.</span>
<a name="line-50"></a><span class='hs-definition'>simpleKind</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Kind</span>
<a name="line-51"></a><span class='hs-definition'>simpleKind</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>foldr</span> <span class='hs-conid'>KindArrow</span> <span class='hs-conid'>KindStar</span> <span class='hs-varop'>$</span> <span class='hs-varid'>replicate</span> <span class='hs-varid'>n</span> <span class='hs-conid'>KindStar</span>
<a name="line-52"></a>
<a name="line-53"></a><a name="isSimpleKind"></a><span class='hs-comment'>-- |The function 'isSimpleKind' returns whether a kind is simple or not.</span>
<a name="line-54"></a><span class='hs-definition'>isSimpleKind</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Kind</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-55"></a><span class='hs-definition'>isSimpleKind</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span> <span class='hs-varop'>==</span> <span class='hs-varid'>simpleKind</span> <span class='hs-layout'>(</span><span class='hs-varid'>kindArity</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span>
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