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<pre><a name="line-1"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-2"></a><span class='hs-comment'>-- |</span>
<a name="line-3"></a><span class='hs-comment'>-- Module : Data.Bifunctor.Product</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright : (C) 2008-2013 Jesse Selover,</span>
<a name="line-5"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span>
<a name="line-6"></a><span class='hs-comment'>--</span>
<a name="line-7"></a><span class='hs-comment'>-- Maintainer : Edward Kmett <ekmett@gmail.com></span>
<a name="line-8"></a><span class='hs-comment'>-- Stability : provisional</span>
<a name="line-9"></a><span class='hs-comment'>-- Portability : portable</span>
<a name="line-10"></a><span class='hs-comment'>--</span>
<a name="line-11"></a><span class='hs-comment'>-- The product of two bifunctors.</span>
<a name="line-12"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-13"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifunctor</span><span class='hs-varop'>.</span><span class='hs-conid'>Product</span>
<a name="line-14"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Product</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-15"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-16"></a>
<a name="line-17"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Biapplicative</span>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Functor</span><span class='hs-varop'>.</span><span class='hs-conid'>Apply</span>
<a name="line-20"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifoldable</span>
<a name="line-21"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Bitraversable</span>
<a name="line-22"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'><></span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span><span class='hs-layout'>)</span>
<a name="line-24"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Bifoldable</span>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Semigroup</span><span class='hs-varop'>.</span><span class='hs-conid'>Bitraversable</span>
<a name="line-26"></a>
<a name="line-27"></a><a name="Product"></a><span class='hs-comment'>-- | Form the product of two bifunctors</span>
<a name="line-28"></a><a name="Product"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <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'>Ord</span><span class='hs-layout'>,</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span><span class='hs-layout'>)</span>
<a name="line-29"></a>
<a name="line-30"></a><a name="instance%20Bifunctor%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bifunctor</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bifunctor</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifunctor</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-31"></a> <span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-32"></a> <span class='hs-comment'>{-# INLINE first #-}</span>
<a name="line-33"></a> <span class='hs-varid'>second</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>second</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>second</span> <span class='hs-varid'>g</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-34"></a> <span class='hs-comment'>{-# INLINE second #-}</span>
<a name="line-35"></a> <span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>bimap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span>
<a name="line-36"></a> <span class='hs-comment'>{-# INLINE bimap #-}</span>
<a name="line-37"></a>
<a name="line-38"></a><a name="instance%20Biapplicative%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Biapplicative</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Biapplicative</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Biapplicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-39"></a> <span class='hs-varid'>bipure</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>bipure</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>bipure</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-40"></a> <span class='hs-comment'>{-# INLINE bipure #-}</span>
<a name="line-41"></a> <span class='hs-conid'>Pair</span> <span class='hs-varid'>w</span> <span class='hs-varid'>x</span> <span class='hs-varop'><<*>></span> <span class='hs-conid'>Pair</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span> <span class='hs-varop'><<*>></span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-varop'><<*>></span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span>
<a name="line-42"></a> <span class='hs-comment'>{-# INLINE (<<*>>) #-}</span>
<a name="line-43"></a>
<a name="line-44"></a><a name="instance%20Bifoldable%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bifoldable</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bifoldable</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifoldable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-45"></a> <span class='hs-varid'>bifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`mappend`</span> <span class='hs-varid'>bifoldMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>y</span>
<a name="line-46"></a> <span class='hs-comment'>{-# INLINE bifoldMap #-}</span>
<a name="line-47"></a>
<a name="line-48"></a><a name="instance%20Bitraversable%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bitraversable</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bitraversable</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-49"></a> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-varop'><$></span> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span> <span class='hs-varop'><*></span> <span class='hs-varid'>bitraverse</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>y</span>
<a name="line-50"></a> <span class='hs-comment'>{-# INLINE bitraverse #-}</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="instance%20Bifoldable1%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bifoldable1</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bifoldable1</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bifoldable1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-53"></a> <span class='hs-varid'>bifoldMap1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bifoldMap1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span> <span class='hs-varop'><></span> <span class='hs-varid'>bifoldMap1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>y</span>
<a name="line-54"></a> <span class='hs-comment'>{-# INLINE bifoldMap1 #-}</span>
<a name="line-55"></a>
<a name="line-56"></a><a name="instance%20Bitraversable1%20(Product%20f%20g)"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bitraversable1</span> <span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-conid'>Bitraversable1</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Bitraversable1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Product</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-57"></a> <span class='hs-varid'>bitraverse1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-conid'>Pair</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Pair</span> <span class='hs-varop'><$></span> <span class='hs-varid'>bitraverse1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span> <span class='hs-varop'><.></span> <span class='hs-varid'>bitraverse1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>y</span>
<a name="line-58"></a> <span class='hs-comment'>{-# INLINE bitraverse1 #-}</span>
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