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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Linear.Instances</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.js" type="text/javascript"></script><script src="file:///usr/share/javascript/mathjax/MathJax.js" type="text/javascript"></script><script type="text/javascript">//<![CDATA[
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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Linear-Instances.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">linear-1.20.5: Linear Algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Copyright</th><td>(C) 2012-2015 Edward Kmett</td></tr><tr><th>License</th><td>BSD-style (see the file LICENSE)</td></tr><tr><th>Maintainer</th><td>Edward Kmett &lt;ekmett@gmail.com&gt;</td></tr><tr><th>Stability</th><td>provisional</td></tr><tr><th>Portability</th><td>portable</td></tr><tr><th>Safe Haskell</th><td>Safe</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Linear.Instances</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#section.orphans">Orphan instances</a></li></ul></div><div id="description"><p class="caption">Description</p><div class="doc"><p>Orphans</p></div></div><div id="interface"><h1>Orphan instances</h1><div id="section.orphans" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:MonadFix:MonadFix:1" class="instance expander" onclick="toggleSection('i:o:ic:MonadFix:MonadFix:1')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Fix.html#t:MonadFix">MonadFix</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a></span> <a href="src/Linear-Instances.html#line-53" class="link">Source</a> <a href="#v:-36-fMonadFixComplex" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:MonadFix:MonadFix:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:mfix">mfix</a> :: (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a <a href="#v:mfix" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:MonadZip:MonadZip:2" class="instance expander" onclick="toggleSection('i:o:ic:MonadZip:MonadZip:2')"></span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Control-Monad-Zip.html#t:MonadZip">MonadZip</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a></span> <a href="src/Linear-Instances.html#line-50" class="link">Source</a> <a href="#v:-36-fMonadZipComplex" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:MonadZip:MonadZip:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:mzip">mzip</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> (a, b) <a href="#v:mzip" class="selflink">#</a></p><p class="src"><a href="#v:mzipWith">mzipWith</a> :: (a -&gt; b -&gt; c) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> c <a href="#v:mzipWith" class="selflink">#</a></p><p class="src"><a href="#v:munzip">munzip</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> (a, b) -&gt; (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b) <a href="#v:munzip" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:Traversable1:Traversable1:3" class="instance expander" onclick="toggleSection('i:o:ic:Traversable1:Traversable1:3')"></span> <a href="file:///usr/share/doc/libghc-lens-doc/html/Control-Lens-Traversal.html#t:Traversable1">Traversable1</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a></span> <a href="src/Linear-Instances.html#line-60" class="link">Source</a> <a href="#v:-36-fTraversable1Complex" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:Traversable1:Traversable1:3" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:traverse1">traverse1</a> :: <a href="file:///usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Apply.html#t:Apply">Apply</a> f =&gt; (a -&gt; f b) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; f (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b) <a href="#v:traverse1" class="selflink">#</a></p><p class="src"><a href="#v:sequence1">sequence1</a> :: <a href="file:///usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Apply.html#t:Apply">Apply</a> f =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> (f b) -&gt; f (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b) <a href="#v:sequence1" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:Apply:Apply:4" class="instance expander" onclick="toggleSection('i:o:ic:Apply:Apply:4')"></span> <a href="file:///usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Apply.html#t:Apply">Apply</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a></span> <a href="src/Linear-Instances.html#line-41" class="link">Source</a> <a href="#v:-36-fApplyComplex" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:Apply:Apply:4" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:-60-.-62-">(&lt;.&gt;)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> (a -&gt; b) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b <a href="#v:-60-.-62-" class="selflink">#</a></p><p class="src"><a href="#v:.-62-">(.&gt;)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b <a href="#v:.-62-" class="selflink">#</a></p><p class="src"><a href="#v:-60-.">(&lt;.)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a <a href="#v:-60-." class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:Bind:Bind:5" class="instance expander" onclick="toggleSection('i:o:ic:Bind:Bind:5')"></span> <a href="file:///usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Bind.html#t:Bind">Bind</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a></span> <a href="src/Linear-Instances.html#line-44" class="link">Source</a> <a href="#v:-36-fBindComplex" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:Bind:Bind:5" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:-62--62--45-">(&gt;&gt;-)</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; (a -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> b <a href="#v:-62--62--45-" class="selflink">#</a></p><p class="src"><a href="#v:join">join</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> (<a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a <a href="#v:join" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:Foldable1:Foldable1:6" class="instance expander" onclick="toggleSection('i:o:ic:Foldable1:Foldable1:6')"></span> <a href="file:///usr/share/doc/libghc-semigroupoids-doc/html/Data-Semigroup-Foldable-Class.html#t:Foldable1">Foldable1</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a></span> <a href="src/Linear-Instances.html#line-56" class="link">Source</a> <a href="#v:-36-fFoldable1Complex" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:Foldable1:Foldable1:6" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:fold1">fold1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Semigroup.html#t:Semigroup">Semigroup</a> m =&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> m -&gt; m <a href="#v:fold1" class="selflink">#</a></p><p class="src"><a href="#v:foldMap1">foldMap1</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Semigroup.html#t:Semigroup">Semigroup</a> m =&gt; (a -&gt; m) -&gt; <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Complex.html#t:Complex">Complex</a> a -&gt; m <a href="#v:foldMap1" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:Apply:Apply:7" class="instance expander" onclick="toggleSection('i:o:ic:Apply:Apply:7')"></span> (<a href="file:///usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Eq.html#t:Eq">Eq</a> k) =&gt; <a href="file:///usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Apply.html#t:Apply">Apply</a> (<a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k)</span> <a href="src/Linear-Instances.html#line-30" class="link">Source</a> <a href="#v:-36-fApplyHashMap" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:Apply:Apply:7" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:-60-.-62-">(&lt;.&gt;)</a> :: <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k (a -&gt; b) -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k a -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k b <a href="#v:-60-.-62-" class="selflink">#</a></p><p class="src"><a href="#v:.-62-">(.&gt;)</a> :: <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k a -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k b -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k b <a href="#v:.-62-" class="selflink">#</a></p><p class="src"><a href="#v:-60-.">(&lt;.)</a> :: <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k a -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k b -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k a <a href="#v:-60-." class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:o:ic:Bind:Bind:8" class="instance expander" onclick="toggleSection('i:o:ic:Bind:Bind:8')"></span> (<a href="file:///usr/share/doc/libghc-hashable-doc/html/Data-Hashable.html#t:Hashable">Hashable</a> k, <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Data-Eq.html#t:Eq">Eq</a> k) =&gt; <a href="file:///usr/share/doc/libghc-semigroupoids-doc/html/Data-Functor-Bind.html#t:Bind">Bind</a> (<a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k)</span> <a href="src/Linear-Instances.html#line-33" class="link">Source</a> <a href="#v:-36-fBindHashMap" class="selflink">#</a></td><td class="doc empty">&nbsp;</td></tr><tr><td colspan="2"><div id="section.i:o:ic:Bind:Bind:8" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:-62--62--45-">(&gt;&gt;-)</a> :: <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k a -&gt; (a -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k b) -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k b <a href="#v:-62--62--45-" class="selflink">#</a></p><p class="src"><a href="#v:join">join</a> :: <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k (<a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k a) -&gt; <a href="file:///usr/share/doc/libghc-unordered-containers-doc/html/Data-HashMap-Strict.html#t:HashMap">HashMap</a> k a <a href="#v:join" class="selflink">#</a></p></div></div></td></tr></table></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.17.2</p></div></body></html>