<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> <!--Rendered using the Haskell Html Library v0.2--> <HTML ><HEAD ><META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=UTF-8" ><TITLE >Numeric.Natural</TITLE ><LINK HREF="haddock.css" REL="stylesheet" TYPE="text/css" ><SCRIPT SRC="haddock-util.js" TYPE="text/javascript" ></SCRIPT ><SCRIPT TYPE="text/javascript" >window.onload = function () {setSynopsis("mini_Numeric-Natural.html")};</SCRIPT ></HEAD ><BODY ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="topbar" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD ><IMG SRC="haskell_icon.gif" WIDTH="16" HEIGHT="16" ALT=" " ></TD ><TD CLASS="title" >semigroups-0.8: Haskell 98 semigroups</TD ><TD CLASS="topbut" ><A HREF="src/Numeric-Natural.html" >Source code</A ></TD ><TD CLASS="topbut" ><A HREF="index.html" >Contents</A ></TD ><TD CLASS="topbut" ><A HREF="doc-index.html" >Index</A ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="modulebar" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD ><FONT SIZE="6" >Numeric.Natural</FONT ></TD ><TD ALIGN="right" ><TABLE CLASS="narrow" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="infohead" >Portability</TD ><TD CLASS="infoval" >portable</TD ></TR ><TR ><TD CLASS="infohead" >Stability</TD ><TD CLASS="infoval" >provisional</TD ></TR ><TR ><TD CLASS="infohead" >Maintainer</TD ><TD CLASS="infoval" >Edward Kmett <ekmett@gmail.com></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="section1" >Description</TD ></TR ><TR ><TD CLASS="doc" >Natural numbers. </TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="section1" >Synopsis</TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="body" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >data</SPAN > <A HREF="#t%3ANatural" >Natural</A > </TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >class</SPAN > <A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Prelude.html#t%3AIntegral" >Integral</A > n => <A HREF="#t%3AWhole" >Whole</A > n <SPAN CLASS="keyword" >where</SPAN ></TD ></TR ><TR ><TD CLASS="body" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="decl" ><A HREF="#v%3AtoNatural" >toNatural</A > :: n -> <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="section1" >Documentation</TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="topdecl" ><TABLE CLASS="declbar" ><TR ><TD CLASS="declname" ><SPAN CLASS="keyword" >data</SPAN > <A NAME="t:Natural" ><A NAME="t%3ANatural" ></A ></A ><B >Natural</B > </TD ><TD CLASS="declbut" ><A HREF="src/Numeric-Natural-Internal.html#Natural" >Source</A ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="body" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="section4" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'i:Natural')" ALT="show/hide" > Instances</TD ></TR ><TR ><TD CLASS="body" ><DIV ID="i:Natural" STYLE="display:block;" ><TABLE CLASS="vanilla" CELLSPACING="1" CELLPADDING="0" ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Prelude.html#t%3AEnum" >Enum</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Eq.html#t%3AEq" >Eq</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Prelude.html#t%3AIntegral" >Integral</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Prelude.html#t%3ANum" >Num</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Ord.html#t%3AOrd" >Ord</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Text-Read.html#t%3ARead" >Read</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Prelude.html#t%3AReal" >Real</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Text-Show.html#t%3AShow" >Show</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Ix.html#t%3AIx" >Ix</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Bits.html#t%3ABits" >Bits</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Numeric-Natural.html#t%3AWhole" >Whole</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ></TABLE ></DIV ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="topdecl" ><TABLE CLASS="declbar" ><TR ><TD CLASS="declname" ><SPAN CLASS="keyword" >class</SPAN > <A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Prelude.html#t%3AIntegral" >Integral</A > n => <A NAME="t:Whole" ><A NAME="t%3AWhole" ></A ></A ><B >Whole</B > n <SPAN CLASS="keyword" >where</SPAN ></TD ><TD CLASS="declbut" ><A HREF="src/Numeric-Natural-Internal.html#Whole" >Source</A ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="body" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="ndoc" >A refinement of Integral to represent types that do not contain negative numbers. </TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="section4" >Methods</TD ></TR ><TR ><TD CLASS="body" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><TR ><TD CLASS="topdecl" ><TABLE CLASS="declbar" ><TR ><TD CLASS="declname" ><A NAME="v:toNatural" ><A NAME="v%3AtoNatural" ></A ></A ><B >toNatural</B > :: n -> <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ><TD CLASS="declbut" ><A HREF="src/Numeric-Natural-Internal.html#toNatural" >Source</A ></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="section4" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'i:Whole')" ALT="show/hide" > Instances</TD ></TR ><TR ><TD CLASS="body" ><DIV ID="i:Whole" STYLE="display:block;" ><TABLE CLASS="vanilla" CELLSPACING="1" CELLPADDING="0" ><TR ><TD CLASS="decl" ><A HREF="Numeric-Natural.html#t%3AWhole" >Whole</A > <A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Word.html#t%3AWord" >Word</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Numeric-Natural.html#t%3AWhole" >Whole</A > <A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Word.html#t%3AWord8" >Word8</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Numeric-Natural.html#t%3AWhole" >Whole</A > <A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Word.html#t%3AWord16" >Word16</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Numeric-Natural.html#t%3AWhole" >Whole</A > <A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Word.html#t%3AWord32" >Word32</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Numeric-Natural.html#t%3AWhole" >Whole</A > <A HREF="/usr/share/doc/ghc/html/libraries/base-4.2.0.2/Data-Word.html#t%3AWord64" >Word64</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Numeric-Natural.html#t%3AWhole" >Whole</A > <A HREF="Numeric-Natural.html#t%3ANatural" >Natural</A ></TD ></TR ></TABLE ></DIV ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="botbar" 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