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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Data-Number-Erf.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">erf-2.0.0.0: The error function, erf, and related functions.</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>None</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Data.Number.Erf</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="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Numeric.html#t:Floating">Floating</a> a => <a href="#t:Erf">Erf</a> a <span class="keyword">where</span><ul class="subs"></ul></li><li class="src short"><span class="keyword">class</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Numeric.html#t:Floating">Floating</a> a => <a href="#t:InvErf">InvErf</a> a <span class="keyword">where</span><ul class="subs"></ul></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">class</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Numeric.html#t:Floating">Floating</a> a => <a id="t:Erf" class="def">Erf</a> a <span class="keyword">where</span> <a href="src/Data-Number-Erf.html#Erf" class="link">Source</a> <a href="#t:Erf" class="selflink">#</a></p><div class="doc"><p>Error function related functions.</p><p>The derivative of <code><a href="Data-Number-Erf.html#v:erf">erf</a></code> is <code> x -> 2 / sqrt pi * exp (x^2)</code>,
and this uniquely determines <code><a href="Data-Number-Erf.html#v:erf">erf</a></code> by <code>erf 0 = 0</code>.</p><p>Minimal complete definition is <code><a href="Data-Number-Erf.html#v:erfc">erfc</a></code> or <code><a href="Data-Number-Erf.html#v:normcdf">normcdf</a></code>.</p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a id="v:erf" class="def">erf</a> :: a -> a <a href="src/Data-Number-Erf.html#erf" class="link">Source</a> <a href="#v:erf" class="selflink">#</a></p><p class="src"><a id="v:erfc" class="def">erfc</a> :: a -> a <a href="src/Data-Number-Erf.html#erfc" class="link">Source</a> <a href="#v:erfc" class="selflink">#</a></p><p class="src"><a id="v:erfcx" class="def">erfcx</a> :: a -> a <a href="src/Data-Number-Erf.html#erfcx" class="link">Source</a> <a href="#v:erfcx" class="selflink">#</a></p><p class="src"><a id="v:normcdf" class="def">normcdf</a> :: a -> a <a href="src/Data-Number-Erf.html#normcdf" class="link">Source</a> <a href="#v:normcdf" class="selflink">#</a></p></div><div class="subs instances"><p id="control.i:Erf" class="caption collapser" onclick="toggleSection('i:Erf')">Instances</p><div id="section.i:Erf" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Erf:Erf:1" class="instance expander" onclick="toggleSection('i:ic:Erf:Erf:1')"></span> <a href="Data-Number-Erf.html#t:Erf">Erf</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a></span> <a href="src/Data-Number-Erf.html#line-28" class="link">Source</a> <a href="#t:Erf" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Erf:Erf:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:erf">erf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> <a href="src/Data-Number-Erf.html#erf" class="link">Source</a> <a href="#v:erf" class="selflink">#</a></p><p class="src"><a href="#v:erfc">erfc</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> <a href="src/Data-Number-Erf.html#erfc" class="link">Source</a> <a href="#v:erfc" class="selflink">#</a></p><p class="src"><a href="#v:erfcx">erfcx</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> <a href="src/Data-Number-Erf.html#erfcx" class="link">Source</a> <a href="#v:erfcx" class="selflink">#</a></p><p class="src"><a href="#v:normcdf">normcdf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> <a href="src/Data-Number-Erf.html#normcdf" class="link">Source</a> <a href="#v:normcdf" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:Erf:Erf:2" class="instance expander" onclick="toggleSection('i:ic:Erf:Erf:2')"></span> <a href="Data-Number-Erf.html#t:Erf">Erf</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a></span> <a href="src/Data-Number-Erf.html#line-32" class="link">Source</a> <a href="#t:Erf" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:Erf:Erf:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:erf">erf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> <a href="src/Data-Number-Erf.html#erf" class="link">Source</a> <a href="#v:erf" class="selflink">#</a></p><p class="src"><a href="#v:erfc">erfc</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> <a href="src/Data-Number-Erf.html#erfc" class="link">Source</a> <a href="#v:erfc" class="selflink">#</a></p><p class="src"><a href="#v:erfcx">erfcx</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> <a href="src/Data-Number-Erf.html#erfcx" class="link">Source</a> <a href="#v:erfcx" class="selflink">#</a></p><p class="src"><a href="#v:normcdf">normcdf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> <a href="src/Data-Number-Erf.html#normcdf" class="link">Source</a> <a href="#v:normcdf" class="selflink">#</a></p></div></div></td></tr></table></div></div></div><div class="top"><p class="src"><span class="keyword">class</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Numeric.html#t:Floating">Floating</a> a => <a id="t:InvErf" class="def">InvErf</a> a <span class="keyword">where</span> <a href="src/Data-Number-Erf.html#InvErf" class="link">Source</a> <a href="#t:InvErf" class="selflink">#</a></p><div class="doc"><p>Inverse error functions, e.g., <code>inverf . erf = id</code> and <code>erf . inverf = id</code> assuming
the appropriate codomain for <code><a href="Data-Number-Erf.html#v:inverf">inverf</a></code>.
Note that the accuracy may drop radically for extreme arguments.</p></div><div class="subs minimal"><p class="caption">Minimal complete definition</p><p class="src"><a href="Data-Number-Erf.html#v:invnormcdf">invnormcdf</a></p></div><div class="subs methods"><p class="caption">Methods</p><p class="src"><a id="v:inverf" class="def">inverf</a> :: a -> a <a href="src/Data-Number-Erf.html#inverf" class="link">Source</a> <a href="#v:inverf" class="selflink">#</a></p><p class="src"><a id="v:inverfc" class="def">inverfc</a> :: a -> a <a href="src/Data-Number-Erf.html#inverfc" class="link">Source</a> <a href="#v:inverfc" class="selflink">#</a></p><p class="src"><a id="v:invnormcdf" class="def">invnormcdf</a> :: a -> a <a href="src/Data-Number-Erf.html#invnormcdf" class="link">Source</a> <a href="#v:invnormcdf" class="selflink">#</a></p></div><div class="subs instances"><p id="control.i:InvErf" class="caption collapser" onclick="toggleSection('i:InvErf')">Instances</p><div id="section.i:InvErf" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:InvErf:InvErf:1" class="instance expander" onclick="toggleSection('i:ic:InvErf:InvErf:1')"></span> <a href="Data-Number-Erf.html#t:InvErf">InvErf</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a></span> <a href="src/Data-Number-Erf.html#line-48" class="link">Source</a> <a href="#t:InvErf" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:InvErf:InvErf:1" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:inverf">inverf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> <a href="src/Data-Number-Erf.html#inverf" class="link">Source</a> <a href="#v:inverf" class="selflink">#</a></p><p class="src"><a href="#v:inverfc">inverfc</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> <a href="src/Data-Number-Erf.html#inverfc" class="link">Source</a> <a href="#v:inverfc" class="selflink">#</a></p><p class="src"><a href="#v:invnormcdf">invnormcdf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Double">Double</a> <a href="src/Data-Number-Erf.html#invnormcdf" class="link">Source</a> <a href="#v:invnormcdf" class="selflink">#</a></p></div></div></td></tr><tr><td class="src clearfix"><span class="inst-left"><span id="control.i:ic:InvErf:InvErf:2" class="instance expander" onclick="toggleSection('i:ic:InvErf:InvErf:2')"></span> <a href="Data-Number-Erf.html#t:InvErf">InvErf</a> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a></span> <a href="src/Data-Number-Erf.html#line-58" class="link">Source</a> <a href="#t:InvErf" class="selflink">#</a></td><td class="doc empty"> </td></tr><tr><td colspan="2"><div id="section.i:ic:InvErf:InvErf:2" class="inst-details hide"><div class="subs methods"><p class="caption">Methods</p><p class="src"><a href="#v:inverf">inverf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> <a href="src/Data-Number-Erf.html#inverf" class="link">Source</a> <a href="#v:inverf" class="selflink">#</a></p><p class="src"><a href="#v:inverfc">inverfc</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> <a href="src/Data-Number-Erf.html#inverfc" class="link">Source</a> <a href="#v:inverfc" class="selflink">#</a></p><p class="src"><a href="#v:invnormcdf">invnormcdf</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.9.0.0/Prelude.html#t:Float">Float</a> <a href="src/Data-Number-Erf.html#invnormcdf" class="link">Source</a> <a href="#v:invnormcdf" class="selflink">#</a></p></div></div></td></tr></table></div></div></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>
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