<!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 >type-level-0.2.4: Type-level programming library</TITLE ><LINK HREF="haddock.css" REL="stylesheet" TYPE="text/css" ><SCRIPT SRC="haddock-util.js" TYPE="text/javascript" ></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" >type-level-0.2.4: Type-level programming library</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="section1" >type-level-0.2.4: Type-level programming library</TD ></TR ><TR ><TD CLASS="doc" >This library permits performing computations on the type-level. Type-level functions are implemented using functional dependencies of multi parameter type classes. To date, Booleans and Numerals (Naturals and Positives) are supported. With regard to Numerals, there is support for common arithmetic operations (addition, substraction, multiplication, division, exponientation, logarithm, maximum, comparison, GCD) over natural numbers (using a decimal representation to make compile-time errors friendlier). Although making use of type-level computations might seem devious and obfuscated at first sight, it is indeed useful in practice to implement lightweight dependent types such us number-parameterized types (e.g. an array type parameterized by the array's size or a modular group type Zn parameterized by the modulus). Here is a tutorial on type-level numerals and how to use them to implement numerically-parameterized vectors: <A HREF="http://www.ict.kth.se/forsyde/files/tutorial/tutorial.html#FSVec" >http://www.ict.kth.se/forsyde/files/tutorial/tutorial.html#FSVec</A > </TD ></TR ><TR ><TD CLASS="section1" >Modules</TD ></TR ><TR ><TD ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ><TR ><TD STYLE="width: 50em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:0')" ALT="show/hide" >Data</TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:0" STYLE="display:block;" ><TR ><TD STYLE="width: 48em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:1')" ALT="show/hide" ><A HREF="Data-TypeLevel.html" >Data.TypeLevel</A ></TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:1" STYLE="display:block;" ><TR ><TD STYLE="padding-left: 1.25em;width: 46em" ><A HREF="Data-TypeLevel-Bool.html" >Data.TypeLevel.Bool</A ></TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="width: 46em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:2')" ALT="show/hide" ><A HREF="Data-TypeLevel-Num.html" >Data.TypeLevel.Num</A ></TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:2" STYLE="display:block;" ><TR ><TD STYLE="width: 44em" ><IMG SRC="minus.gif" CLASS="coll" ONCLICK="toggle(this,'n:3')" ALT="show/hide" ><A HREF="Data-TypeLevel-Num-Aliases.html" >Data.TypeLevel.Num.Aliases</A ></TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding: 0; padding-left: 2em" COLSPAN="3" ><TABLE CLASS="vanilla2" CELLSPACING="0" CELLPADDING="0" ID="n:3" STYLE="display:block;" ><TR ><TD STYLE="padding-left: 1.25em;width: 42em" ><A HREF="Data-TypeLevel-Num-Aliases-TH.html" >Data.TypeLevel.Num.Aliases.TH</A ></TD ><TD ></TD ><TD ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD STYLE="padding-left: 1.25em;width: 44em" ><A HREF="Data-TypeLevel-Num-Ops.html" >Data.TypeLevel.Num.Ops</A ></TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding-left: 1.25em;width: 44em" ><A HREF="Data-TypeLevel-Num-Reps.html" >Data.TypeLevel.Num.Reps</A ></TD ><TD ></TD ><TD ></TD ></TR ><TR ><TD STYLE="padding-left: 1.25em;width: 44em" ><A HREF="Data-TypeLevel-Num-Sets.html" >Data.TypeLevel.Num.Sets</A ></TD ><TD ></TD ><TD ></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ></TABLE ></TD ></TR ><TR ><TD CLASS="s15" ></TD ></TR ><TR ><TD CLASS="botbar" >Produced by <A HREF="http://www.haskell.org/haddock/" >Haddock</A > version 2.6.1</TD ></TR ></TABLE ></BODY ></HTML >
