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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>Numeric.Rig.Class</title><link href="ocean.css" rel="stylesheet" type="text/css" title="Ocean" /><script src="haddock-util.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/Numeric-Rig-Class.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">algebra-2.0.7: Constructive abstract algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>Safe-Infered</td></tr></table><p class="caption">Numeric.Rig.Class</p></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">class</span> (<a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> r, <a href="Numeric-Algebra-Unital.html#t:Unital">Unital</a> r, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r) =&gt; <a href="#t:Rig">Rig</a> r  <span class="keyword">where</span><ul class="subs"><li><a href="#v:fromNatural">fromNatural</a> :: <a href="Numeric-Algebra.html#t:Natural">Natural</a> -&gt; r</li></ul></li><li class="src short"><a href="#v:fromNaturalNum">fromNaturalNum</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Prelude.html#t:Num">Num</a> r =&gt; <a href="Numeric-Algebra.html#t:Natural">Natural</a> -&gt; r</li><li class="src short"><a href="#v:fromWhole">fromWhole</a> :: (<a href="Numeric-Algebra.html#t:Whole">Whole</a> n, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r) =&gt; n -&gt; r</li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span> (<a href="Numeric-Algebra-Class.html#t:Semiring">Semiring</a> r, <a href="Numeric-Algebra-Unital.html#t:Unital">Unital</a> r, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r) =&gt; <a name="t:Rig" class="def">Rig</a> r  <span class="keyword">where</span><a href="src/Numeric-Rig-Class.html#Rig" class="link">Source</a></p><div class="doc"><p>A Ring without (n)egation
</p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a name="v:fromNatural" class="def">fromNatural</a> :: <a href="Numeric-Algebra.html#t:Natural">Natural</a> -&gt; r<a href="src/Numeric-Rig-Class.html#fromNatural" class="link">Source</a></p></div><div class="subs instances"><p id="control.i:Rig" class="caption collapser" onclick="toggleSection('i:Rig')">Instances</p><div id="section.i:Rig" class="show"><table><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Bool.html#t:Bool">Bool</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Int.html#t:Int">Int</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Int.html#t:Int8">Int8</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Int.html#t:Int16">Int16</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Int.html#t:Int32">Int32</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Int.html#t:Int64">Int64</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Prelude.html#t:Integer">Integer</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Word.html#t:Word">Word</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Word.html#t:Word8">Word8</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Word.html#t:Word16">Word16</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Word.html#t:Word32">Word32</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Data-Word.html#t:Word64">Word64</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> ()</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="Numeric-Algebra.html#t:Natural">Natural</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> <a href="Numeric-Coalgebra-Geometric.html#t:Euclidean">Euclidean</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Algebra-Complex.html#t:Complex">Complex</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Involutive.html#t:TriviallyInvolutive">TriviallyInvolutive</a> r, <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Algebra-Quaternion.html#t:Quaternion">Quaternion</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Algebra-Dual.html#t:Dual">Dual</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Algebra-Hyperbolic.html#t:Hyper-39-">Hyper'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Coalgebra-Hyperbolic.html#t:Hyper">Hyper</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Coalgebra-Dual.html#t:Dual-39-">Dual'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Coalgebra-Geometric.html#t:BasisCoblade">BasisCoblade</a> m)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Involutive.html#t:TriviallyInvolutive">TriviallyInvolutive</a> r, <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Coalgebra-Quaternion.html#t:Quaternion-39-">Quaternion'</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Algebra-Commutative.html#t:Commutative">Commutative</a> r, <a href="Numeric-Ring-Class.html#t:Ring">Ring</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Coalgebra-Trigonometric.html#t:Trig">Trig</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Additive-Class.html#t:Abelian">Abelian</a> r, <a href="Numeric-Algebra-Class.html#t:Monoidal">Monoidal</a> r) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Ring-Endomorphism.html#t:End">End</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Ring-Opposite.html#t:Opposite">Opposite</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="Numeric-Rng-Class.html#t:Rng">Rng</a> r =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Ring-Rng.html#t:RngRing">RngRing</a> r)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Rig-Class.html#t:Rig">Rig</a> a, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> b) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (a, b)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r, <a href="Numeric-Algebra-Unital.html#t:CounitalCoalgebra">CounitalCoalgebra</a> r m) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Covector.html#t:Covector">Covector</a> r m)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Rig-Class.html#t:Rig">Rig</a> a, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> b, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> c) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (a, b, c)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r, <a href="Numeric-Algebra-Unital.html#t:CounitalCoalgebra">CounitalCoalgebra</a> r m) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (<a href="Numeric-Map.html#t:Map">Map</a> r b m)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Rig-Class.html#t:Rig">Rig</a> a, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> b, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> c, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> d) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (a, b, c, d)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src">(<a href="Numeric-Rig-Class.html#t:Rig">Rig</a> a, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> b, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> c, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> d, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> e) =&gt; <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> (a, b, c, d, e)</td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:fromNaturalNum" class="def">fromNaturalNum</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.5.0.0/Prelude.html#t:Num">Num</a> r =&gt; <a href="Numeric-Algebra.html#t:Natural">Natural</a> -&gt; r<a href="src/Numeric-Rig-Class.html#fromNaturalNum" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:fromWhole" class="def">fromWhole</a> :: (<a href="Numeric-Algebra.html#t:Whole">Whole</a> n, <a href="Numeric-Rig-Class.html#t:Rig">Rig</a> r) =&gt; n -&gt; r<a href="src/Numeric-Rig-Class.html#fromWhole" class="link">Source</a></p></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.10.0</p></div></body></html>