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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>Data.AffineSpace.Point</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/Data-AffineSpace-Point.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">vector-space-points-0.1.2.0: A type for points, as distinct from vectors.</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Maintainer</th><td>byorgey@cis.upenn.edu</td></tr><tr><th>Safe Haskell</th><td>None</td></tr></table><p class="caption">Data.AffineSpace.Point</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#g:1">Points
</a></li></ul></div><div id="description"><p class="caption">Description</p><div class="doc"><p>A type for <em>points</em> (as distinct from vectors), with an appropriate
 AffineSpace instance.
</p></div></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">newtype</span>  <a href="#t:Point">Point</a> v = <a href="#v:P">P</a> v</li><li class="src short"><a href="#v:unPoint">unPoint</a> ::  <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v -&gt; v</li><li class="src short"><a href="#v:origin">origin</a> :: <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-AdditiveGroup.html#t:AdditiveGroup">AdditiveGroup</a> v =&gt; <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v</li><li class="src short"><a href="#v:-42-.">(*.)</a> :: <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-VectorSpace.html#t:VectorSpace">VectorSpace</a> v =&gt; <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-VectorSpace.html#t:Scalar">Scalar</a> v -&gt; <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v -&gt; <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v</li></ul></div><div id="interface"><h1 id="g:1">Points
</h1><div class="top"><p class="src"><span class="keyword">newtype</span>  <a name="t:Point" class="def">Point</a> v <a href="src/Data-AffineSpace-Point.html#Point" class="link">Source</a></p><div class="doc"><p><code>Point</code> is a newtype wrapper around vectors used to represent
   points, so we don't get them mixed up. The distinction between
   vectors and points is important: translations affect points, but
   leave vectors unchanged.  Points are instances of the
   <code><a href="/usr/share/doc/libghc-vector-space-doc/html/Data-AffineSpace.html#t:AffineSpace">AffineSpace</a></code> class from <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-AffineSpace.html">Data.AffineSpace</a>.
</p></div><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:P" class="def">P</a> v</td><td class="doc empty">&nbsp;</td></tr></table></div><div class="subs instances"><p id="control.i:Point" class="caption collapser" onclick="toggleSection('i:Point')">Instances</p><div id="section.i:Point" class="show"><table><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Control-Monad.html#t:Functor">Functor</a> <a href="Data-AffineSpace-Point.html#t:Point">Point</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Typeable-Internal.html#t:Typeable1">Typeable1</a> <a href="Data-AffineSpace-Point.html#t:Point">Point</a></td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> v =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> (<a href="Data-AffineSpace-Point.html#t:Point">Point</a> v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Data.html#t:Data">Data</a> v =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Data.html#t:Data">Data</a> (<a href="Data-AffineSpace-Point.html#t:Point">Point</a> v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> v =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> (<a href="Data-AffineSpace-Point.html#t:Point">Point</a> v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Read.html#t:Read">Read</a> v =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Read.html#t:Read">Read</a> (<a href="Data-AffineSpace-Point.html#t:Point">Point</a> v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> v =&gt; <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> (<a href="Data-AffineSpace-Point.html#t:Point">Point</a> v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-vector-space-doc/html/Data-AdditiveGroup.html#t:AdditiveGroup">AdditiveGroup</a> v =&gt; <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-AffineSpace.html#t:AffineSpace">AffineSpace</a> (<a href="Data-AffineSpace-Point.html#t:Point">Point</a> v)</td><td class="doc empty">&nbsp;</td></tr><tr><td class="src"><a href="/usr/share/doc/libghc-newtype-doc/html/Control-Newtype.html#t:Newtype">Newtype</a> (<a href="Data-AffineSpace-Point.html#t:Point">Point</a> v) v</td><td class="doc empty">&nbsp;</td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:unPoint" class="def">unPoint</a> ::  <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v -&gt; v<a href="src/Data-AffineSpace-Point.html#unPoint" class="link">Source</a></p><div class="doc"><p>Convert a point <code>p</code> into the vector from the origin to <code>p</code>.  This
   should be considered a &quot;semantically unsafe&quot; operation; think
   carefully about whether and why you need to use it.  The
   recommended way to do this conversion would be to write <code>(p
   <code><a href="/usr/share/doc/libghc-vector-space-doc/html/Data-AffineSpace.html#v:.-45-.">.-.</a></code> <code><a href="Data-AffineSpace-Point.html#v:origin">origin</a></code>)</code>.
</p></div></div><div class="top"><p class="src"><a name="v:origin" class="def">origin</a> :: <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-AdditiveGroup.html#t:AdditiveGroup">AdditiveGroup</a> v =&gt; <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v<a href="src/Data-AffineSpace-Point.html#origin" class="link">Source</a></p><div class="doc"><p>The origin of the vector space <code>v</code>.
</p></div></div><div class="top"><p class="src"><a name="v:-42-." class="def">(*.)</a> :: <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-VectorSpace.html#t:VectorSpace">VectorSpace</a> v =&gt; <a href="/usr/share/doc/libghc-vector-space-doc/html/Data-VectorSpace.html#t:Scalar">Scalar</a> v -&gt; <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v -&gt; <a href="Data-AffineSpace-Point.html#t:Point">Point</a> v<a href="src/Data-AffineSpace-Point.html#%2A." class="link">Source</a></p><div class="doc"><p>Scale a point by a scalar.
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