<!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 >Data.Fixed</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_Data-Fixed.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" >base-4.1.0.0: Basic libraries</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" >Data.Fixed</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" >experimental</TD ></TR ><TR ><TD CLASS="infohead" >Maintainer</TD ><TD CLASS="infoval" >Ashley Yakeley <ashley@semantic.org></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" ><P >This module defines a "Fixed" type for fixed-precision arithmetic. The parameter to Fixed is any type that's an instance of HasResolution. HasResolution has a single method that gives the resolution of the Fixed type. Parameter types E6 and E12 (for 10^6 and 10^12) are defined, as well as type synonyms for Fixed E6 and Fixed E12. </P ><P >This module also contains generalisations of div, mod, and divmod to work with any Real instance. </P ></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" ><A HREF="#v%3Adiv%27" >div'</A > :: (<A HREF="Prelude.html#t%3AReal" >Real</A > a, <A HREF="Prelude.html#t%3AIntegral" >Integral</A > b) => a -> a -> b</TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="#v%3Amod%27" >mod'</A > :: <A HREF="Prelude.html#t%3AReal" >Real</A > a => a -> a -> a</TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="#v%3AdivMod%27" >divMod'</A > :: (<A HREF="Prelude.html#t%3AReal" >Real</A > a, <A HREF="Prelude.html#t%3AIntegral" >Integral</A > b) => a -> a -> (b, a)</TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >data</SPAN > <A HREF="#t%3AFixed" >Fixed</A > a</TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >class</SPAN > <A HREF="#t%3AHasResolution" >HasResolution</A > a <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%3Aresolution" >resolution</A > :: a -> <A HREF="../integer/GHC-Integer.html#t%3AInteger" >Integer</A ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="#v%3AshowFixed" >showFixed</A > :: <A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > a => <A HREF="../ghc-prim/GHC-Bool.html#t%3ABool" >Bool</A > -> <A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a -> <A HREF="Data-Char.html#t%3AString" >String</A ></TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >data</SPAN > <A HREF="#t%3AE6" >E6</A > </TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >type</SPAN > <A HREF="#t%3AMicro" >Micro</A > = <A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > <A HREF="Data-Fixed.html#t%3AE6" >E6</A ></TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >data</SPAN > <A HREF="#t%3AE12" >E12</A > </TD ></TR ><TR ><TD CLASS="s8" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >type</SPAN > <A HREF="#t%3APico" >Pico</A > = <A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > <A HREF="Data-Fixed.html#t%3AE12" >E12</A ></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="decl" ><A NAME="v:div'" ><A NAME="v%3Adiv%27" ></A ></A ><B >div'</B > :: (<A HREF="Prelude.html#t%3AReal" >Real</A > a, <A HREF="Prelude.html#t%3AIntegral" >Integral</A > b) => a -> a -> b</TD ></TR ><TR ><TD CLASS="doc" >generalisation of <TT ><A HREF="Prelude.html#v%3Adiv" >div</A ></TT > to any instance of Real </TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><A NAME="v:mod'" ><A NAME="v%3Amod%27" ></A ></A ><B >mod'</B > :: <A HREF="Prelude.html#t%3AReal" >Real</A > a => a -> a -> a</TD ></TR ><TR ><TD CLASS="doc" >generalisation of <TT ><A HREF="Prelude.html#v%3Amod" >mod</A ></TT > to any instance of Real </TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><A NAME="v:divMod'" ><A NAME="v%3AdivMod%27" ></A ></A ><B >divMod'</B > :: (<A HREF="Prelude.html#t%3AReal" >Real</A > a, <A HREF="Prelude.html#t%3AIntegral" >Integral</A > b) => a -> a -> (b, a)</TD ></TR ><TR ><TD CLASS="doc" >generalisation of <TT ><A HREF="Prelude.html#v%3AdivMod" >divMod</A ></TT > to any instance of Real </TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >data</SPAN > <A NAME="t:Fixed" ><A NAME="t%3AFixed" ></A ></A ><B >Fixed</B > a </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:Fixed')" ALT="show/hide" > Instances</TD ></TR ><TR ><TD CLASS="body" ><DIV ID="i:Fixed" STYLE="display:block;" ><TABLE CLASS="vanilla" CELLSPACING="1" CELLPADDING="0" ><TR ><TD CLASS="decl" ><A HREF="Prelude.html#t%3AEnum" >Enum</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Eq.html#t%3AEq" >Eq</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > a => <A HREF="Prelude.html#t%3AFractional" >Fractional</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > a => <A HREF="Prelude.html#t%3ANum" >Num</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Ord.html#t%3AOrd" >Ord</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > a => <A HREF="Prelude.html#t%3AReal" >Real</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > a => <A HREF="Prelude.html#t%3ARealFrac" >RealFrac</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > a => <A HREF="Text-Show.html#t%3AShow" >Show</A > (<A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a)</TD ></TR ></TABLE ></DIV ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >class</SPAN > <A NAME="t:HasResolution" ><A NAME="t%3AHasResolution" ></A ></A ><B >HasResolution</B > a <SPAN CLASS="keyword" >where</SPAN ></TD ></TR ><TR ><TD CLASS="body" ><TABLE CLASS="vanilla" CELLSPACING="0" CELLPADDING="0" ><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="decl" ><A NAME="v:resolution" ><A NAME="v%3Aresolution" ></A ></A ><B >resolution</B > :: a -> <A HREF="../integer/GHC-Integer.html#t%3AInteger" >Integer</A ></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:HasResolution')" ALT="show/hide" > Instances</TD ></TR ><TR ><TD CLASS="body" ><DIV ID="i:HasResolution" STYLE="display:block;" ><TABLE CLASS="vanilla" CELLSPACING="1" CELLPADDING="0" ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > <A HREF="Data-Fixed.html#t%3AE12" >E12</A ></TD ></TR ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > <A HREF="Data-Fixed.html#t%3AE6" >E6</A ></TD ></TR ></TABLE ></DIV ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><A NAME="v:showFixed" ><A NAME="v%3AshowFixed" ></A ></A ><B >showFixed</B > :: <A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > a => <A HREF="../ghc-prim/GHC-Bool.html#t%3ABool" >Bool</A > -> <A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > a -> <A HREF="Data-Char.html#t%3AString" >String</A ></TD ></TR ><TR ><TD CLASS="doc" >First arg is whether to chop off trailing zeros </TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >data</SPAN > <A NAME="t:E6" ><A NAME="t%3AE6" ></A ></A ><B >E6</B > </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:E6')" ALT="show/hide" > Instances</TD ></TR ><TR ><TD CLASS="body" ><DIV ID="i:E6" STYLE="display:block;" ><TABLE CLASS="vanilla" CELLSPACING="1" CELLPADDING="0" ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > <A HREF="Data-Fixed.html#t%3AE6" >E6</A ></TD ></TR ></TABLE ></DIV ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >type</SPAN > <A NAME="t:Micro" ><A NAME="t%3AMicro" ></A ></A ><B >Micro</B > = <A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > <A HREF="Data-Fixed.html#t%3AE6" >E6</A ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >data</SPAN > <A NAME="t:E12" ><A NAME="t%3AE12" ></A ></A ><B >E12</B > </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:E12')" ALT="show/hide" > Instances</TD ></TR ><TR ><TD CLASS="body" ><DIV ID="i:E12" STYLE="display:block;" ><TABLE CLASS="vanilla" CELLSPACING="1" CELLPADDING="0" ><TR ><TD CLASS="decl" ><A HREF="Data-Fixed.html#t%3AHasResolution" >HasResolution</A > <A HREF="Data-Fixed.html#t%3AE12" >E12</A ></TD ></TR ></TABLE ></DIV ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="decl" ><SPAN CLASS="keyword" >type</SPAN > <A NAME="t:Pico" ><A NAME="t%3APico" ></A ></A ><B >Pico</B > = <A HREF="Data-Fixed.html#t%3AFixed" >Fixed</A > <A HREF="Data-Fixed.html#t%3AE12" >E12</A ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="botbar" >Produced by <A HREF="http://www.haskell.org/haddock/" >Haddock</A > version 2.4.2</TD ></TR ></TABLE ></BODY ></HTML >