[Boost-commit] svn:boost r62301 - in trunk/libs/polygon: . doc doc/GTL_boostcon_draft03_files doc/images doc/tutorial test

Subject: [Boost-commit] svn:boost r62301 - in trunk/libs/polygon: . doc doc/GTL_boostcon_draft03_files doc/images doc/tutorial test
From: lucanus.j.simonson_at_[hidden]
Date: 2010-05-28 13:17:40

Author: ljsimons
Date: 2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
New Revision: 62301
URL: http://svn.boost.org/trac/boost/changeset/62301

Log:
initial merge to trunk
Added:
   trunk/libs/polygon/
   trunk/libs/polygon/Jamroot   (contents, props changed)
   trunk/libs/polygon/doc/
   trunk/libs/polygon/doc/GTL_boostcon2009.pdf   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/buttons.gif   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/filelist.xml   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/frame.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/fullscreen.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/master01.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/master03.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/master03.xml   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/master03_stylesheet.css   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/outline.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/pres.xml   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/preview.wmf   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/script.js   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0001.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0001_image001.png   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0001_image002.jpg   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0002.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0002_image003.png   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0002_image004.jpg   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0003.htm   (contents, props changed)
   trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0003_image005.png   (contents, props changed)
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   trunk/libs/polygon/doc/tutorial/extract_devices.hpp   (contents, props changed)
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   trunk/libs/polygon/test/
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   trunk/libs/polygon/test/gtl_boost_unit_test.cpp   (contents, props changed)

Added: trunk/libs/polygon/Jamroot
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/Jamroot	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,19 @@
+# Boost Build v2 Jamroot for Polygon unit 
+#
+#  Copyright 2010 Intel Corporation
+#
+# Use, modification and distribution is subject to the Boost Software License,
+# Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt)
+
+project 
+    : requirements
+        <warnings>all
+        <toolset>intel:<warnings>on
+        <toolset>gcc:<cxxflags>"-pedantic -Wall -Wstrict-aliasing -fstrict-aliasing -Wno-long-long"
+        <toolset>msvc:<cxxflags>/W4
+        <include>../..
+        <include>.
+    ;
+
+

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==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,79 @@
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+<title>GTL  Geometry Template Library</title>
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+ <o:DocumentProperties>
+  <o:Author>Lucanus Simonson</o:Author>
+  <o:LastAuthor>Lucanus Simonson</o:LastAuthor>
+  <o:Revision>11</o:Revision>
+  <o:TotalTime>19046</o:TotalTime>
+  <o:Created>2009-03-31T21:52:49Z</o:Created>
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+</b></font><script><!--
+
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+
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/filelist.xml
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+  <div id=PPTC2 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Intel badly needed high performance algorithms for planar polygon
+       manipulation</li>
+   <ul>
+    <li>I implemented them</li>
+   </ul>
+   <li>We have 2D Cartesian geometry</li>
+   <ul>
+    <li>Coordinate, Interval, Point, Rectangle, Polygon, Polygon Set</li>
+    <li>Library of concepts for each</li>
+   </ul>
+   <li>Many generic functions that operate on conceptual types</li>
+   <ul>
+    <li>API strives for symmetry, consistency and simplicity</li>
+   </ul>
+   <li>Some pretty heavy weight algorithms under the hood</li>
+   <li>3 man years and 30kloc</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>3</font></div>
+  </td>
+  <td>
+  <div id=PPTP3 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0068.htm');" id=PPTL3>Introduction</a></font></div>
+  <div id=PPTC3 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Implemented goofy template argument inheritance type system and
+       Manhattan geometry features</li>
+   <li>Request for interest from boost in 2007</li>
+   <ul>
+    <li>Discussed the design on boost dev list</li>
+    <li>Found out the design was bad and needed to be redone the boost way</li>
+    <ul>
+     <li>Thank you Joel Guzman</li>
+    </ul>
+   </ul>
+   <li>Added 45 degree geometry features</li>
+   <li>After six months of work we got permission from Intel to release under
+       boost license</li>
+   <ul>
+    <li>Discussed the code on the boost dev list</li>
+    <li>Got a lot of feedback on specific design considerations</li>
+   </ul>
+   <li>Rewrote the interfaces to be more generic by using tag dispatching</li>
+   <ul>
+    <li>Got more feedback on design considerations from boost, especially
+        refinement</li>
+   </ul>
+   <li>Re-rewrote the interfaces to be more generic still and based on SFINAE</li>
+   <li>Added arbitrary-angle geometry features</li>
+   <ul>
+    <li>Got feedback on arbitrary-angle algorithms and robustness
+        considerations from boost</li>
+    <ul>
+     <li>Thank you Fernando Cacciola</li>
+    </ul>
+   </ul>
+   <li>Ported new SFINAE interfaces to MSVC9</li>
+   <ul>
+    <li>Thank you Steven Watanabe</li>
+   </ul>
+   <li>The library now looks more like Joel said it should back in 2007</li>
+   <ul>
+    <li>We may pursue formal review this year</li>
+   </ul>
+   <li>Deployed library to internal users who are using it now to create the
+       next generation of silicon fabrication process technology and
+       microprocessors</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>4</font></div>
+  </td>
+  <td>
+  <div id=PPTP4 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0002.htm');" id=PPTL4>Agenda</a></font></div>
+  <div id=PPTC4 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>GTL Feature Set</li>
+   <li>Benchmark Comparisons</li>
+   <li>Generic Sweep-line Booleans Algorithm</li>
+   <li>Numerical Robustness</li>
+   <li>Geometry Concepts Type System</li>
+   <li>Booleans Operator Syntax</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>5</font></div>
+  </td>
+  <td>
+  <div id=PPTP5 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0003.htm');" id=PPTL5>Primary GTL Feature</a></font></div>
+  <div id=PPTC5 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Boolean operations on sets of polygons</li>
+   <ul>
+    <li>Manhattan</li>
+    <br>
+    <br>
+    <li>45-degree</li>
+    <br>
+    <br>
+    <br>
+    <li>Arbitrary Angle (XOR)</li>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>6</font></div>
+  </td>
+  <td>
+  <div id=PPTP6 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0067.htm');" id=PPTL6>Using Booleans</a></font></div>
+  <div id=PPTC6 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Productive operator syntax</li>
+   <li>Clip polygon a against bounding box c, then subtract polygon b, storing
+       the result in polygon set d</li>
+   <li>Takes longer to say than to type</li>
+   <li>No try/catch and no memory management</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>7</font></div>
+  </td>
+  <td>
+  <div id=PPTP7 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0004.htm');" id=PPTL7>Details Of Booleans</a></font></div>
+  <div id=PPTC7 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>?</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>8</font></div>
+  </td>
+  <td>
+  <div id=PPTP8 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0005.htm');" id=PPTL8>Details of 45-degree
+  Booleans</a></font></div>
+  <div id=PPTC8 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Preserve 45-degree nature of geometry at output</li>
+   <li>Handle off-grid intersections by inserting an edge to approximate the
+       output region</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>9</font></div>
+  </td>
+  <td>
+  <div id=PPTP9 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0006.htm');" id=PPTL9>Boolean Operation Output
+  Modes</a></font></div>
+  <div id=PPTC9 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Manhattan Booleans</li>
+   <ul>
+    <li>Polygons with lists of holes</li>
+    <li>Keyhole holes to outer polygon</li>
+    <li>Horizontal and vertical sliced rectangle tiling</li>
+   </ul>
+   <li>45-degree Booleans</li>
+   <ul>
+    <li>Polygon with lists of holes</li>
+    <li>Keyhole holes to outer polygon</li>
+    <li>Vertical sliced trapezoid tiling</li>
+   </ul>
+   <li>Arbitrary-angle Booleans</li>
+   <ul>
+    <li>Polygon with lists of holes</li>
+    <li>Keyhole holes to outer polygon</li>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>10</font></div>
+  </td>
+  <td>
+  <div id=PPTP10 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0007.htm');" id=PPTL10>Polygon
+  Buffering/Resizing/Offsetting</a></font></div>
+  <div id=PPTC10 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Manhattan</li>
+   <ul>
+    <li>Uniform resizing</li>
+    <li>Resizing by different amount in each of the four directions</li>
+    <li>Optionally leave corners unfilled</li>
+   </ul>
+   <li>45-Degree</li>
+   <ul>
+    <li>Uniform resizing</li>
+    <li>Preserve original topology or cut off acute angled corners at resizing
+        distance</li>
+    <li>Snapping options for moving 45-degree edges</li>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>11</font></div>
+  </td>
+  <td>
+  <div id=PPTP11 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0010.htm');" id=PPTL11>Many More Features</a></font></div>
+  <div id=PPTC11 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Rectangle query tree</li>
+   <li>Maximum enclosed rectangle in Manhattan polygon</li>
+   <li>Connectivity Extraction</li>
+   <li>Property Merge/Map Overlay</li>
+   <li>Etc.</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>12</font></div>
+  </td>
+  <td>
+  <div id=PPTP12 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0011.htm');" id=PPTL12>Small Arbitrary-angle
+  Input Benchmark Comparison</a></font></div>
+  <div id=PPTC12 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Runtime for intersection operation</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>13</font></div>
+  </td>
+  <td>
+  <div id=PPTP13 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0012.htm');" id=PPTL13>Large Scale
+  Arbitrary-angle Performance Comparison</a></font></div>
+  <div id=PPTC13 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>One to two orders of magnitude larger than previous benchmark</li>
+   <li>Though fastest for small inputs, GPC does not scale well</li>
+   <li>gtlb excludes line segment intersection</li>
+   <li>Core Boolean is n log n, Intel micro-architecture accelerates processing
+       of large vectorss</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>14</font></div>
+  </td>
+  <td>
+  <div id=PPTP14 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0013.htm');" id=PPTL14>Manhattan Benchmarking</a></font></div>
+  <div id=PPTC14 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>100X performance delta between optimal gtl 90-degree algorithm and
+       general algorithms</li>
+   <li>gtl 45-degree Boolean is optimal</li>
+   <li>Core arbitrary angle Boolean (gtlb) is optimal</li>
+   <li>gtl arbitrary angle Boolean is slightly suboptimal due to line segment
+       intersection</li>
+   <li>CGAL is optimal, but has a high constant factor</li>
+   <li>GPC and PolyBoolean both scale sub-optimally</li>
+   <br>
+   <br>
+   <br>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>15</font></div>
+  </td>
+  <td>
+  <div id=PPTP15 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0014.htm');" id=PPTL15>Benchmarking
+  Conclusions about GTL</a></font></div>
+  <div id=PPTC15 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>GTL arbitrary-angle Booleans is near optimal</li>
+   <li>Performance of GTL arbitrary-angle Booleans is middle-of-road for small
+       inputs</li>
+   <li>Performance of GTL arbitrary-angle Booleans is best in class for large
+       inputs</li>
+   <li>Performance of GTL could be improved by up to 10X with further work on
+       the arbitrary-angle Booleans</li>
+   <li>If you have 45-degree or Manhattan polygons gtl provides 50X and 100X
+       performance advantage over cgal</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>16</font></div>
+  </td>
+  <td>
+  <div id=PPTP16 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0016.htm');" id=PPTL16>Observations on GPC,
+  CGAL and PolyBoolean</a></font></div>
+  <div id=PPTC16 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>We found at least two different bugs in PolyBoolean</li>
+   <li>We found one bug in CGAL</li>
+   <li>GPC and PolyBoolean have very difficult to use C-style APIs</li>
+   <li>GPC and PolyBoolean cannot merge multiple overlapping polygons in one
+       step</li>
+   <li>GPC and PolyBoolean both have O(n<sup>1.5</sup>log n) line segment
+       intersection algorithms (sort all edges that intersect sweep-line at
+       every x)</li>
+   <li>PolyBoolean has O(n * m * k) algorithm to determine which polygons
+       contain which holes (n polygons, m holes, k points per polygon), which
+       is O(n^2) in the worst case</li>
+   <li>CGAL requires that overlapping polygons be merged before being an input
+       to a Boolean, but can do that itself</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>17</font></div>
+  </td>
+  <td>
+  <div id=PPTP17 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0018.htm');" id=PPTL17>Observations About
+  Preconditions</a></font></div>
+  <div id=PPTC17 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>CGAL throws an “Precondition Violated” exception if an input polygon is
+       self intersecting/overlapping or has “closed” semantic at last vertex</li>
+   <li>PolyBoolean returns a “bad input polygon” error code if an input polygon
+       is self intersecting/overlapping has zero area or is a hole with no
+       enclosing polygon</li>
+   <li>Both PolyBoolean and CGAL inform the user the input is bad when a bug in
+       their algorithms leads to a fatal error</li>
+   <li>GPC produces garbage output when input polygons are self
+       intersecting/overlapping</li>
+   <li>GTL has no preconditions and produces correct output in all cases</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>18</font></div>
+  </td>
+  <td>
+  <div id=PPTP18 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0015.htm');" id=PPTL18>Generic Sweep-line
+  Algorithm</a></font></div>
+  <div id=PPTC18 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Sweep-line algorithms for polygon clipping is a tradition that goes back
+       to 1979</li>
+   <li>Sweep-line is the best known method for line segment intersection</li>
+   <li>GTL implements different sweep lines for Manhattan, 45-degree and
+       general case</li>
+   <li>GTL Booleans sweep-lines are parameterized to allow them to perform
+       multiple operations</li>
+   <br>
+   <br>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>19</font></div>
+  </td>
+  <td>
+  <div id=PPTP19 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0019.htm');" id=PPTL19>Better Booleans through
+  Calculus</a></font></div>
+  <div id=PPTC19 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>We use the same algorithm for Manhattan, 45-degree and general polygon
+       Booleans</li>
+   <br>
+   <br>
+   <br>
+   <br>
+   <li>We will explain how it works in the Manhattan case first, then how we
+       generalize it</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>20</font></div>
+  </td>
+  <td>
+  <div id=PPTP20 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0020.htm');" id=PPTL20>Boolean Polygon Model</a></font></div>
+  <div id=PPTC20 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>We define a polygon as a two dimensional Boolean function</li>
+   <ul>
+    <li>Function evaluates to true inside the polygon</li>
+    <li>Function evaluates to false outside the polygon</li>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>21</font></div>
+  </td>
+  <td>
+  <div id=PPTP21 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0021.htm');" id=PPTL21>Math With Polygon Model</a></font></div>
+  <div id=PPTC21 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Because the Polygon is now modeled mathematically…</li>
+   <li>We can manipulate it with calculus</li>
+   <li>The derivative with respect to x of the polygon function is the change
+       in polygon count as we cross its vertical edges</li>
+   <li>In one dimension the polygon looks like a step function at its vertical
+       edges</li>
+   <li>Derivative of a step function is an impulse with area of one</li>
+   <li>Summing changes in polygon count from left to right (scanline) performs
+       an integration over the df/dx to produce the original polygon</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>22</font></div>
+  </td>
+  <td>
+  <div id=PPTP22 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0022.htm');" id=PPTL22>The Great Thing About
+  Math</a></font></div>
+  <div id=PPTC22 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>If it works once, it will work a second time</li>
+   <li>The derivative with respect to y of the d/dx of polygon function f is
+       the change in the change in polygon count with respect to x as we enter
+       and leave its vertical edges in the y dimension</li>
+   <li>In the y dimension d f/dx (vertical edges) looks like a step function</li>
+   <li>Derivative of a step function is an impulse with area of one</li>
+   <li>Summing changes in y of changes in x from low to high y integrates the
+       function and produces changes in x (edges) that can be integrated left
+       to right to produce polygons</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>23</font></div>
+  </td>
+  <td>
+  <div id=PPTP23 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0023.htm');" id=PPTL23>1D Boolean OR Operation
+  Example</a></font></div>
+  <div id=PPTC23 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>We want a data model for polygons that can provide the input for
+       sweep-line and be constructed from n polygon verticies in O(n log n)
+       time</li>
+   <li>If you want to sum two piece-wise linear functions (continuous)</li>
+   <ul>
+    <li>you can take the derivative of each (discreet)</li>
+    <li>combine their derivatives in linear time by merging (sum any
+        overlapping values)</li>
+    <li>and then integrate by summing from low to high (in linear time)</li>
+   </ul>
+   <li>The math is what allows the boolean algorithm to achieve optimal time
+       complexity</li>
+   <ul>
+    <li>All we do is sort vertices, but you have to carry the dxdy values along
+        with them so that the meaning of the vertices is retained</li>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>24</font></div>
+  </td>
+  <td>
+  <div id=PPTP24 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0027.htm');" id=PPTL24>2D, Two Layer Boolean
+  XOR Example</a></font></div>
+  <div id=PPTC24 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>XOR an L shape with a rectangle</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>25</font></div>
+  </td>
+  <td>
+  <div id=PPTP25 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0028.htm');" id=PPTL25>XOR Example</a></font></div>
+  <div id=PPTC25 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Preprocess input polygons into a merged, sorted sequence of change on y
+       of change on x of polygon intersection count</li>
+   <li>Decomposition is linear, sort is n log n, merge is linear</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>26</font></div>
+  </td>
+  <td>
+  <div id=PPTP26 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0029.htm');" id=PPTL26>XOR Example</a></font></div>
+  <div id=PPTC26 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Sweep-line data structure initialized to a single interval from
+       -infinity to +infinity with intersection count of zero for each input
+       layer</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>27</font></div>
+  </td>
+  <td>
+  <div id=PPTP27 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0030.htm');" id=PPTL27>XOR Example</a></font></div>
+  <div id=PPTC27 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Intersect first input interval of intersection count change on x against
+       sweep-line data structure of intersection count intervals</li>
+   <li>Intersection count changes from zero to one on layer1 on that interval</li>
+   <li>0 xor 0 = false, 1 xor 0 = true, output a left edge because Boolean
+       logic changed from false to true</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>28</font></div>
+  </td>
+  <td>
+  <div id=PPTP28 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0031.htm');" id=PPTL28>XOR Example</a></font></div>
+  <div id=PPTC28 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Intersect second input interval against sweep-line data structure</li>
+   <li>Intersection count changes from zero to one for layer2 on that interval</li>
+   <li>1 xor 0 = true, 1 xor 1 = false, so output a right edge because Boolean
+       logic has changed from true to false</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>29</font></div>
+  </td>
+  <td>
+  <div id=PPTP29 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0032.htm');" id=PPTL29>XOR Example</a></font></div>
+  <div id=PPTC29 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Intersect third input interval against sweep-line data structure</li>
+   <li>Intersection count changes from one to zero for layer1 on that interval</li>
+   <li>1 xor 0 = false, 0 xor 1 = false, so no output</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>30</font></div>
+  </td>
+  <td>
+  <div id=PPTP30 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0033.htm');" id=PPTL30>XOR Example</a></font></div>
+  <div id=PPTC30 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Intersect fourth input interval against sweep-line data structure</li>
+   <li>Intersection count changes from one to zero for layer1 on one interval</li>
+   <li>1 xor 0 = true, 0 xor 0 = false, so output a right edge because Boolean
+       logic has changed from true to false</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>31</font></div>
+  </td>
+  <td>
+  <div id=PPTP31 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0034.htm');" id=PPTL31>XOR Example</a></font></div>
+  <div id=PPTC31 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Intersect fifth input interval against sweep-line data structure</li>
+   <li>Intersection count changes from one to zero for layer1 on two intervals</li>
+   <li>1 xor 0 = true, 0 xor 0 = false, so output a right edge for the first
+       interval</li>
+   <li>1 xor 1 = false, 0 xor 1 = true, so output a left edge for the second
+       interval</li>
+   <br>
+   <br>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>32</font></div>
+  </td>
+  <td>
+  <div id=PPTP32 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0035.htm');" id=PPTL32>XOR Example</a></font></div>
+  <div id=PPTC32 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Intersect sixth input interval against sweep-line data structure</li>
+   <li>Intersection count changes from one to zero for layer2 on one interval</li>
+   <li>0 xor 1 = true, 0 xor 0 = false, so output a right edge</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>33</font></div>
+  </td>
+  <td>
+  <div id=PPTP33 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0036.htm');" id=PPTL33>XOR Example</a></font></div>
+  <div id=PPTC33 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Sweep-line Polygon Formation produces output polygon</li>
+   <li>Could be done in the same pass as the xor</li>
+   <li>Leaving it in the derivative form allows direct input to a subsequent
+       Boolean</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>34</font></div>
+  </td>
+  <td>
+  <div id=PPTP34 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0037.htm');" id=PPTL34>Generalizing The
+  Algorithm</a></font></div>
+  <div id=PPTC34 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>We want the derivative of this vertex:</li>
+   <li>We apply d/dx and d/dy</li>
+   <li>To get a result in terms of &#952;:</li>
+   <li>We sweep the &#952; from low to high:</li>
+   <li>As we integrate wrt. y:</li>
+   <li>And finally integrate wrt. x:</li>
+   <li>To which we assign counter clockwise winding and output partial polygon:</li>
+   <br>
+   <br>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>35</font></div>
+  </td>
+  <td>
+  <div id=PPTP35 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0038.htm');" id=PPTL35>The Algorithm Requires
+  No Preconditions</a></font></div>
+  <div id=PPTC35 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>The great thing about math is that it’s general</li>
+   <li>Every special case is just another instance of the general case</li>
+   <li>Every case that breaks other algorithms is handled implicitly and
+       correctly</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>36</font></div>
+  </td>
+  <td>
+  <div id=PPTP36 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0041.htm');" id=PPTL36>Taking Things One Step
+  Further</a></font></div>
+  <div id=PPTC36 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>The Booleans algorithm is parameterized</li>
+   <li>N layer operations are implemented with a single pass of the same
+       algorithm</li>
+   <li>Is used to provide connectivity extraction / spatial map join and
+       property merge / map overlay</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>37</font></div>
+  </td>
+  <td>
+  <div id=PPTP37 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0039.htm');" id=PPTL37>Robustness</a></font></div>
+  <div id=PPTC37 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Strategies employed by GTL are provably robust for all cases</li>
+   <ul>
+    <li>100% robust--not just “works for all the cases we’ve tried”</li>
+   </ul>
+   <li>A firm guarantee of 100% numerical robustness is a very comforting
+       feature</li>
+   <li>PolyBoolean fails to find polygons that enclose some holes because its
+       point-in-polygon calculation is not numerically robust</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>38</font></div>
+  </td>
+  <td>
+  <div id=PPTP38 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0064.htm');" id=PPTL38>Robust Predicate
+  Primitives</a></font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>39</font></div>
+  </td>
+  <td>
+  <div id=PPTP39 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0040.htm');" id=PPTL39>Robust Comparison of
+  Slope</a></font></div>
+  <div id=PPTC39 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>		Segment 1: (x11,y11) to (x12, y12)</li>
+   <li>		Segment 2: (x21,y21) to (x22, y22)</li>
+   <li>		Slope1: (y12 - y11) / (x12 - x11)</li>
+   <li>		Slope2: (y22 - y21) / (x22 - x21)</li>
+   <li>		Slope1 &lt; Slope2 iff (y12 - y11)(x22 - x21) &lt; (x12 - x11)(y22 -
+       y21)</li>
+   <li>Cross multiplication avoids integer truncation of division</li>
+   <li>Requires 65 bits for signed 32 bit integer coordinates</li>
+   <ul>
+    <li>Use long double, multi-precision, SSE quad word, or unsigned 64 bit
+        integer with sign computed separately</li>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>40</font></div>
+  </td>
+  <td>
+  <div id=PPTP40 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0042.htm');" id=PPTL40>Robust Comparison Of
+  Point and Line Segment</a></font></div>
+  <div id=PPTC40 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Make a 2<sup>nd</sup> segment from one end of the segment to the point</li>
+   <li>Compare slopes</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>41</font></div>
+  </td>
+  <td>
+  <div id=PPTP41 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0045.htm');" id=PPTL41>Robust Line Segment
+  Intersection Check</a></font></div>
+  <div id=PPTC41 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Compute whether the two ends of each segment are on, above or below the
+       other segment</li>
+   <li>Both points of one segment on the same side of the other means no
+       intersection</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>42</font></div>
+  </td>
+  <td>
+  <div id=PPTP42 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0065.htm');" id=PPTL42>Robust Point In Polygon
+  Predicate</a></font></div>
+  <div id=PPTC42 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>For all edges which contain the x value of the point within their x
+       interval</li>
+   <ul>
+    <li>Accumulate the sum of such edges the point is above</li>
+   </ul>
+   <li>The point is inside if the sum is odd</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>43</font></div>
+  </td>
+  <td>
+  <div id=PPTP43 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0044.htm');" id=PPTL43>Robust Calculation of
+  Slope Intercept</a></font></div>
+  <div id=PPTC43 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Apply GMP multi-precision rational and compute exact result</li>
+   <li>To compare two slope intercepts</li>
+   <br>
+   <br>
+   <br>
+   <br>
+   <li>			(requires 97 bits of precision)</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>44</font></div>
+  </td>
+  <td>
+  <div id=PPTP44 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0046.htm');" id=PPTL44>Robust Calculation of
+  Line Segment Intersection Point</a></font></div>
+  <div id=PPTC44 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Apply GMP multi-precision rational and compute exact result.</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>45</font></div>
+  </td>
+  <td>
+  <div id=PPTP45 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0047.htm');" id=PPTL45>Robust Snapping of
+  Non-Integer Intersection Points to Grid</a></font></div>
+  <div id=PPTC45 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Truncate down and to left</li>
+   <li>Causes Edges to move slightly</li>
+   <li>Moving edges may introduce artifacts</li>
+   <li>Non overlapping edges may become parallel and overlap</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>46</font></div>
+  </td>
+  <td>
+  <div id=PPTP46 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0049.htm');" id=PPTL46><span
+  style='mso-spacerun:yes'> </span></a></font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>47</font></div>
+  </td>
+  <td>
+  <div id=PPTP47 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0048.htm');" id=PPTL47>Intersections Creating
+  Intersections</a></font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>48</font></div>
+  </td>
+  <td>
+  <div id=PPTP48 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0050.htm');" id=PPTL48>Acceptable vs.
+  Unacceptable Artifacts</a></font></div>
+  <div id=PPTC48 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>An artifact is unacceptable</li>
+   <ul>
+    <li>if it causes any line segments to intersect other than at their end
+        points</li>
+    <li>if it causes a closed cycle in the input to become open at the output</li>
+   </ul>
+   <li>Inserting vertices on line segments and merging vertices are acceptable</li>
+   <li>We insert vertices and merge vertices to snap to integer grid robustly</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>49</font></div>
+  </td>
+  <td>
+  <div id=PPTP49 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0066.htm');" id=PPTL49>What code that uses GTL
+  looks like</a></font></div>
+  <div id=PPTC49 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>Two lines of code in the example invoke five different GTL algorithms</li>
+   <li>Arguments passed into functions are not GTL data types</li>
+   <li>The code is maximally concise, yet easy to read</li>
+   <li>Clip b to the bounding box of a, XOR that with a shrunk by ten then
+       merge into result</li>
+   <li>Details of memory management for intermediate results are abstracted
+       away from the use of algorithms</li>
+   <li>Such code is easy to write and easy to maintain</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>50</font></div>
+  </td>
+  <td>
+  <div id=PPTP50 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0052.htm');" id=PPTL50>C++ Concepts-based Type
+  System</a></font></div>
+  <div id=PPTC50 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>GTL allows application data types to be arguments to its API</li>
+   <li>You can check if your point type lies inside your polygon type with a
+       call to GTL contains() passing in your point and your polygon</li>
+   <li>		gtl::contains(my_polygon, my_point);</li>
+   <li>This is accomplished by use of a C++ Concepts-based statically
+       polymorphic type system</li>
+   <li>This is much more convenient than copying your polygon into a GTL
+       polygon data type first</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>51</font></div>
+  </td>
+  <td>
+  <div id=PPTP51 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0054.htm');" id=PPTL51>C++ Traits</a></font></div>
+  <div id=PPTC51 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>GTL accesses your geometry types through type traits that you must
+       provide</li>
+   <li>These traits map your implementation of a geometry object to GTL’s
+       concept of how a such geometry behaves</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>52</font></div>
+  </td>
+  <td>
+  <div id=PPTP52 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0055.htm');" id=PPTL52>C++ Concepts
+  Overloading</a></font></div>
+  <div id=PPTC52 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>GTL functions that expect a polygon check whether the input data type is
+       registered as a polygon and will not instantiate if the check fails</li>
+   <li>A different gtl function with the same name can instantiate if the data
+       type turns out to be registered as a rectangle, or a point</li>
+   <li>The mechanism for doing this is called substitution failure is not an
+       error (SFINAE)</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>53</font></div>
+  </td>
+  <td>
+  <div id=PPTP53 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0058.htm');" id=PPTL53>Concept Refinement</a></font></div>
+  <div id=PPTC53 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>A rectangle is a refinement of the concept of a polygon</li>
+   <ul>
+    <li>A rectangle narrows-down the definition of polygon to four sided,
+        90-degree angles</li>
+   </ul>
+   <li>A function that requires read only access to a polygon can always work
+       on a rectangle</li>
+   <ul>
+    <li><span style='mso-spacerun:yes'> </span>A polygon is a generalization of
+        a rectangle</li>
+   </ul>
+   <li>A function that requires write-access to a polygon cannot work on a
+       rectangle</li>
+   <ul>
+    <li>A rectangle cannot store a polygon</li>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>54</font></div>
+  </td>
+  <td>
+  <div id=PPTP54 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0059.htm');" id=PPTL54>GTL Refinement
+  Relationships</a></font></div>
+  <div id=PPTC54 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>GTL assign() function</li>
+   <ul>
+    <li>copies data between objects of the same conceptual type</li>
+    <li>copies data from a refinement to a more general conceptual type</li>
+    <li>instantiates for each of the 49 legal combinations</li>
+    <li>requires only one overload definition per concept type</li>
+    <li>each overload protected by SFINAE concept check</li>
+    <br>
+    <br>
+   </ul>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>55</font></div>
+  </td>
+  <td>
+  <div id=PPTP55 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0060.htm');" id=PPTL55>Concept Casting</a></font></div>
+  <div id=PPTC55 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>A Manhattan polygon is a refinement of a general polygon</li>
+   <li>Given a general polygon and the certainly that it contains only
+       Manhattan data</li>
+   <ul>
+    <li>GTL view_as&lt;polygon_90_concept&gt;() can allow that polygon to be
+        legally passed to functions expecting a Manhattan polygon</li>
+   </ul>
+   <li>This is useful when general objects are used by applications to model
+       several specific kinds of data</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>56</font></div>
+  </td>
+  <td>
+  <div id=PPTP56 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0053.htm');" id=PPTL56>Booleans Operator
+  Syntax</a></font></div>
+  <div id=PPTC56 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>GTL overloads the C++ bit-wise logical operators &amp;|^ and the
+       subtraction operator -</li>
+   <li>They perform Boolean AND, OR, XOR and AND-NOT (SUBTRACT)</li>
+   <li>They work with any polygons, rectangles, vectors or lists of polygons or
+       rectangles and the GTL polygon-set data types</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>57</font></div>
+  </td>
+  <td>
+  <div id=PPTP57 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0061.htm');" id=PPTL57>GTL Booleans Operator
+  Templates</a></font></div>
+  <div id=PPTC57 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>C++ requires that operators return their result by value</li>
+   <li>The return value of a GTL Boolean operator function call is an operator
+       template</li>
+   <li>The operator template stores references to the arguments and defers the
+       operation until the result is requested</li>
+   <li>In this way the operation is performed after the operator template is
+       returned by the operator function</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>58</font></div>
+  </td>
+  <td>
+  <div id=PPTP58 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0062.htm');" id=PPTL58>Operator Templates</a></font></div>
+  <div id=PPTC58 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>When chaining operator templates they cache references to each other and
+       build an expression tree</li>
+   <li>When the final result is requested the expression is evaluated and the
+       result is produced</li>
+   <li>This avoids unnecessary copying of intermediate results</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>59</font></div>
+  </td>
+  <td>
+  <div id=PPTP59 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0070.htm');" id=PPTL59>MSVC SFINAE limitation</a></font></div>
+  <div id=PPTC59 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>SFINAE works in MSVC for the simple cases</li>
+   <li>Order of template instantiation in MSVC depends on type of template</li>
+   <ul>
+    <li>compile time constant vs. by type</li>
+   </ul>
+   <li>Substitution failure of a nested template is an error in MSVC</li>
+   <li>The only way to get reliable SFINAE behavior out of MSVC is to use
+       enable_if with compile time logic expressions</li>
+   <li>It took two weeks of work to port the code from EDG/gcc compatibility to
+       MSVC</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>60</font></div>
+  </td>
+  <td>
+  <div id=PPTP60 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0069.htm');" id=PPTL60>EDG SFINAE Bug</a></font></div>
+  <div id=PPTC60 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>An unnamed enum type cannot be referred to in the template definition
+       when instantiating a template on that type</li>
+   <li>STL uses unnamed enum types with arithmetic operators</li>
+   <li>Substituion of my generic operators for the unnamed STL enum types
+       should fail</li>
+   <li>A bug in older versions of EDG frontend produces a syntax error instead
+       of SFINAE if the template references it in the definition</li>
+   <li>Currently fixed in the version of EGD used by the new icc11</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+ <tr onmouseover="Over(this)" onmouseout="Out(this)" onclick="Follow(this)"
+  style='cursor:hand'>
+  <td align=right valign=top>
+  <div class=sldNum><font size=2>61</font></div>
+  </td>
+  <td>
+  <div id=PPTP61 class=PTxt><font size=2><a
+  href="javascript:GoToSld('slide0071.htm');" id=PPTL61>EDG Bug Workaround</a></font></div>
+  <div id=PPTC61 class=CTxt style='display:none'><font size=2>
+  <ul>
+   <li>If substitution of a nested template parameter fails before EDG tries to
+       instantiate the template that would refer to the unnamed enum type no
+       syntax error is generated</li>
+   <li>EDG supports nested SFINAE, of course</li>
+   <li>I provide an intermediate meta-function with preprocessor macros in its
+       definition that results in nested SFINAE except when compiled by MSVC to
+       work around both bugs</li>
+  </ul>
+  </font></div>
+  </td>
+ </tr>
+</table>
+
+
+
+</div>
+
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+
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/pres.xml
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/pres.xml	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,172 @@
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+    <p:colorscheme
+     colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"/>
+    <p:colorscheme
+     colors="#ffffff,#000000,#969696,#000000,#fbdf53,#ff9966,#cc3300,#996600"/>
+    <p:colorscheme
+     colors="#ffffff,#000000,#808080,#000000,#99ccff,#ccccff,#3333cc,#af67ff"/>
+    <p:colorscheme
+     colors="#def6f1,#000000,#969696,#000000,#ffffff,#8dc6ff,#0066cc,#00a800"/>
+    <p:colorscheme
+     colors="#ffffd9,#000000,#777777,#000000,#fffff7,#33cccc,#ff5050,#ff9900"/>
+    <p:colorscheme
+     colors="#008080,#ffffff,#005a58,#ffff99,#006462,#6d6fc7,#00ffff,#00ff00"/>
+    <p:colorscheme
+     colors="#800000,#ffffff,#5c1f00,#dfd293,#cc3300,#be7960,#ffff99,#d3a219"/>
+    <p:colorscheme
+     colors="#000099,#ffffff,#003366,#ccffff,#3366cc,#00b000,#66ccff,#ffe701"/>
+    <p:colorscheme
+     colors="#000000,#ffffff,#336699,#e3ebf1,#003399,#468a4b,#66ccff,#f0e500"/>
+    <p:colorscheme
+     colors="#686b5d,#ffffff,#777777,#d1d1cb,#909082,#809ea8,#ffcc66,#e9dcb9"/>
+    <p:colorscheme
+     colors="#666699,#ffffff,#3e3e5c,#ffffff,#60597b,#6666ff,#99ccff,#ffff99"/>
+    <p:colorscheme
+     colors="#523e26,#ffffff,#2d2015,#dfc08d,#8c7b70,#8f5f2f,#ccb400,#8c9ea0"/>
+   </p:schemes>
+  </p:master>
+  <p:master id="1" slidesn="1C9B41C,AB2432D0" type="notes" href="master01.htm"
+   layout="notes" slots="header,dateTime,slideImage,body,footer,slideNumber"/>
+  <p:slide id="1" slidesn="1C9B241,32B76D30" href="slide0001.htm"
+   layout="title_subtitle" slots="centerTitle,subTitle"/>
+  <p:slide id="73" slidesn="1C9CD33,E4D54CA0" href="slide0073.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="68" slidesn="1C9CC64,D1B49B00" href="slide0068.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="2" slidesn="1C9B242,49883A20" href="slide0002.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="3" slidesn="1C9B24A,CFB242A0" href="slide0003.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="67" slidesn="1C9B964,1BAEF9D0" href="slide0067.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="4" slidesn="1C9B24D,307771D0" href="slide0004.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="5" slidesn="1C9B24D,C57031A0" href="slide0005.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="6" slidesn="1C9B24E,DB497F30" href="slide0006.htm"
+   xmlhref="slide0006.xml" layout="title_body" slots="title,body"/>
+  <p:slide id="7" slidesn="1C9B24F,BB264DE0" href="slide0007.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="10" slidesn="1C9B251,26417950" href="slide0010.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="11" slidesn="1C9B251,96FCBA10" href="slide0011.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="12" slidesn="1C9B251,CB0F4340" href="slide0012.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="13" slidesn="1C9B252,3B09A500" href="slide0013.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="14" slidesn="1C9B253,214E9E80" href="slide0014.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="16" slidesn="1C9B255,4409D870" href="slide0016.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="18" slidesn="1C9B3A8,EC7B21E0" href="slide0018.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="15" slidesn="1C9B253,A9C7C0C0" href="slide0015.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="19" slidesn="1C9B3B2,BD067F40" href="slide0019.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="20" slidesn="1C7ABDC,4F674030" href="slide0020.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="21" slidesn="1C7ABDC,D9D10EE0" href="slide0021.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="22" slidesn="1C7ABE6,EC072EF0" href="slide0022.htm"
+   layout="title_body" slots="title,body"/>
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+  <p:slide id="27" slidesn="1C777AF,22F59350" href="slide0027.htm"
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+  <p:slide id="28" slidesn="1C777AF,22F59350" href="slide0028.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="29" slidesn="1C777AF,22F59350" href="slide0029.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="30" slidesn="1C777AF,22F59350" href="slide0030.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="31" slidesn="1C777AF,22F59350" href="slide0031.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="32" slidesn="1C777AF,22F59350" href="slide0032.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="33" slidesn="1C777AF,22F59350" href="slide0033.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="34" slidesn="1C777AF,22F59350" href="slide0034.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="35" slidesn="1C777AF,22F59350" href="slide0035.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="36" slidesn="1C777AF,22F59350" href="slide0036.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="37" slidesn="1C9B3BD,817AA860" href="slide0037.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="38" slidesn="1C9B3C1,AE6CB670" href="slide0038.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="41" slidesn="1C9B3D6,DDD496C0" href="slide0041.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="39" slidesn="1C9B3C2,602D0400" href="slide0039.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="64" slidesn="1C9B418,3A9EF300" href="slide0064.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="40" slidesn="1C9B3C3,21369670" href="slide0040.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="42" slidesn="1C9B3D8,75FCA810" href="slide0042.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="45" slidesn="1C9B3DA,DC6B1EE0" href="slide0045.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="65" slidesn="1C9B41B,3F1B4C00" href="slide0065.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="44" slidesn="1C9B3DA,A9400F80" href="slide0044.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="46" slidesn="1C9B3DA,A9400F80" href="slide0046.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="47" slidesn="1C9B3DD,1B216ED0" href="slide0047.htm"
+   xmlhref="slide0047.xml" layout="title_body" slots="title,body"/>
+  <p:slide id="49" slidesn="1C9B3DD,FFB20190" href="slide0049.htm"
+   xmlhref="slide0049.xml" layout="title_body" slots="title,body"/>
+  <p:slide id="48" slidesn="1C9B3DD,BA19D810" href="slide0048.htm"
+   xmlhref="slide0048.xml" layout="title_body" slots="title,body"/>
+  <p:slide id="50" slidesn="1C9B3DE,328FB440" href="slide0050.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="66" slidesn="1C9B3E4,BD9F7830" href="slide0066.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="52" slidesn="1C9B3DF,3F4EFD70" href="slide0052.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="54" slidesn="1C9B3DF,99ADE880" href="slide0054.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="55" slidesn="1C9B3DF,EFD23720" href="slide0055.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="58" slidesn="1C9B3E0,CBC26250" href="slide0058.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="59" slidesn="1C9B3E1,1FA106B0" href="slide0059.htm"
+   xmlhref="slide0059.xml" layout="title_body" slots="title,body"/>
+  <p:slide id="60" slidesn="1C9B3E1,FE7DCA80" href="slide0060.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="53" slidesn="1C9B3DF,5132C350" href="slide0053.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="61" slidesn="1C9B3E4,31B28BF0" href="slide0061.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="62" slidesn="1C9B3E4,74DA0390" href="slide0062.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="70" slidesn="1C9CC65,9D0BA8C0" href="slide0070.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="69" slidesn="1C9CC65,293433E0" href="slide0069.htm"
+   layout="title_body" slots="title,body"/>
+  <p:slide id="71" slidesn="1C9CC66,81EBE220" href="slide0071.htm"
+   layout="title_body" slots="title,body"/>
+  <p:viewstate type="slideView" nosnaptogrid="t" restoredleft="156"
+   restoredtop="946" hideoutlineicons="t"/>
+  <p:font name="Arial" charset="0" type="4"/>
+  <p:font name="Courier New" charset="0" type="6" family="49"/>
+  <p:font name="Times New Roman" charset="0" type="6" family="18"/>
+  <p:headersfooters slidenumber="t" formatid="0" noheader="t"/>
+  <p:headersfooters notes="t" slidenumber="t"/>
+  <p:pptdocumentsettings framecolors="WhiteTextOnBlack" hideslideanimation="t"
+   browsersupport="v4"/>
+ </p:presentation>
+ <o:shapedefaults v:ext="edit" spidmax="82948">
+  <o:colormru v:ext="edit" colors="red"/>
+ </o:shapedefaults></xml>
\ No newline at end of file

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/preview.wmf
==============================================================================
Binary file. No diff available.

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/script.js
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/script.js	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,1081 @@
+function LoadSld()
+{
+	var sld=GetObj("SlideObj")
+	if( !g_supportsPPTHTML ) {		
+		sld.style.visibility="visible"
+		return
+	}
+
+	if( MakeNotesVis() ) return
+
+	runAnimations = _InitAnimations();
+	
+	if( IsWin("PPTSld") )
+		parent.SldUpdated(GetSldId())
+	g_origSz=parseInt(SlideObj.style.fontSize)
+	g_origH=sld.style.posHeight
+	g_origW=sld.style.posWidth
+	g_scaleHyperlinks=(document.all.tags("AREA").length>0)
+	if( g_scaleHyperlinks )
+		InitHLinkArray()
+	if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) )
+		document.body.scroll="no"
+	_RSW()
+	if( IsWin("PPTSld") && parent.IsFullScrMode() )
+		FullScrInit();
+	
+	MakeSldVis();
+	ChkAutoAdv()
+
+	if( runAnimations )
+	{
+		if( document.all("NSPlay") )
+			document.all("NSPlay").autoStart = false;
+
+		if( sld.filters && sld.filters.revealtrans )
+			setTimeout( "document.body.start()", sld.filters.revealtrans.duration * 1000 );
+		else
+			document.body.start();
+	}
+}
+
+function MakeSldVis() 
+{
+	var fTrans=g_showAnimation && SldHasTrans()
+	if( fTrans )	
+	{
+		if( g_bgSound ) {
+			idx=g_bgSound.indexOf(",");
+			pptSound.src=g_bgSound.substr( 0, idx );
+			pptSound.loop= -(parseInt(g_bgSound.substr(idx+1)));
+		}
+		SlideObj.filters.revealtrans.Apply()	
+    }
+	SlideObj.style.visibility="visible"
+	if( fTrans )
+		SlideObj.filters.revealtrans.Play()
+}
+function MakeNotesVis() 
+{
+	if( !IsNts() ) return false 
+	SlideObj.style.display="none"
+	nObj = document.all.item("NotesObj")
+	parent.SetHasNts(0)
+	if( nObj ) { 
+		nObj.style.display=""
+		parent.SetHasNts(1)
+	}
+	return 1
+}
+function ChkAutoAdv()
+{
+	if(SldHasTrans())
+		SlideObj.onfilterchange=AutoAdv
+	else
+		AutoAdv()
+}
+function AutoAdv()
+{
+	if(!IsWin("PPTSld") || !gUseSldTimings )return
+	var sld=GetCurSld()
+	if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )
+		setTimeout("parent.GoToNextSld()",sld.mAdvDelay)
+}
+function GetObj(id)
+{
+	if(g_supportsPPTHTML) return document.all(id);
+	else return document.getElementById(id);
+}
+function SldHasTrans() { return SlideObj.style.filter != ""; }
+function GetSldId() 
+{
+	var regExp = /file:\/\/\//i
+	var pos = location.href.search(regExp)
+	if (MHTMLPrefix != "" && pos != -1)
+		sId = location.href.substring(pos)
+	else
+	{
+		sId = RemoveFilePrefixFromHref(location.href);
+		var regExp = /\//
+		var fixedHref = sId
+		var pos = -1
+	
+		pos = fixedHref.search(regExp)
+		while (pos != -1)
+		{
+			fixedHref = fixedHref.replace(regExp, "\\")
+			pos = fixedHref.search(regExp)
+		}
+	
+		if (g_fBaseHyperlink == true)
+			sId = "file:///" + fixedHref;
+		else
+			sId = fixedHref.substring(fixedHref.lastIndexOf('\\') + 1)
+	}
+	
+	return sId
+}
+function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctxtmenu") && PPTSld.ctxtmenu.style.display!="none" ) { PPTSld.ctxtmenu.style.display='none'; return true } return false }
+function IsWin( name ) { return window.name == name }
+function IsNts() { return IsWin("PPTNts") }
+function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
+function SupportsPPTAnimation() { return( navigator.platform == "Win32" && navigator.appVersion.indexOf("Windows")>0 ) }
+function SupportsPPTHTML()
+{
+	var appVer=navigator.appVersion, msie=appVer.indexOf("MSIE "), ver=0
+	if( msie >= 0 )
+		ver=parseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
+	else
+		ver=parseInt(appVer)
+
+	return( ver >= 4 && msie >= 0 )
+}
+function _RSW()
+{
+	if( !g_supportsPPTHTML || IsNts() ||
+	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
+		return
+
+        var padding=0;
+        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=6
+
+	cltWidth=document.body.clientWidth-padding
+	cltHeight=document.body.clientHeight-padding
+	factor=(1.0*cltWidth)/g_origW
+	if( cltHeight < g_origH*factor )
+		factor=(1.0*cltHeight)/g_origH
+
+	newSize = g_origSz * factor
+	if( newSize < 1 ) newSize=1
+
+	s=SlideObj.style
+	s.fontSize=newSize+"px"
+	s.posWidth=g_origW*factor
+	s.posHeight=g_origH*factor
+	s.posLeft=(cltWidth-s.posWidth+padding)/2
+	s.posTop=(cltHeight-s.posHeight+padding)/2
+
+	if( g_scaleHyperlinks )
+		ScaleHyperlinks( factor )
+}
+function _InitAnimations()
+{
+	animRuntimeInstalled = ''+document.body.localTime != 'undefined';
+	isFullScreen = (window.name == "PPTSld") && !parent.IsFramesMode();
+	g_animUseRuntime = g_showAnimation && animRuntimeInstalled && !(isFullScreen && parent.IsSldVisited());
+	if( g_animUseRuntime ) {
+		collSeq = document.all.tags("seq");
+		if( collSeq != null ) {
+			for(ii=0;ii<collSeq.length;ii++) {
+				if( collSeq[ii].getAttribute( "p:nodeType" ) == "mainSeq" ) {
+					g_animMainSequence = collSeq[ii];
+					break;
+				}
+			}
+		}
+	
+		if( g_animItemsToHide && document.body.playAnimations != false ) {
+			for(jj = 0; jj < g_animItemsToHide.length; jj++) {
+				if( hideObj = GetObj(g_animItemsToHide[jj]) )
+					hideObj.runtimeStyle.visibility="hidden";
+			}
+		}
+
+		if( g_animInteractiveItems ){
+			for(jj = 0; jj < g_animInteractiveItems.length; jj++) {
+				if( triggerObj = GetObj(g_animInteractiveItems[jj]) )
+					triggerObj.runtimeStyle.cursor="hand";
+			}
+		}
+		
+		if( gUseSldTimings && ''+g_animSlideTime != 'undefined' ) {
+			adjustedTime = document.body.calculateAutoAdvanceTimes( g_animSlideTime, g_animEffectTimings );
+			if( IsWin("PPTSld") && adjustedTime != g_animSlideTime ) {
+			   var sld = GetCurSld();
+			   sld.mAdvDelay = adjustedTime * 1000;
+			}
+		}
+	}
+
+	return g_animUseRuntime;
+}
+
+gSldJump = 0, gSldJumpTrack = 0, gSldJumpIdx = "";
+
+function _KPH()
+{ 
+	if( IsNts() ) return;
+
+	if( !parent.IsFramesMode() && event.keyCode == 27 && !HideMenu() )
+		parent.window.close( self );
+	else if( event.keyCode == 32 ) {
+		if( window.name == "PPTSld" )
+			parent.PPTSld.DocumentOnClick();
+		else
+			parent.GoToNextSld();
+	}
+
+	CatchNumKeys( parent, event );
+}
+
+function CatchNumKeys( win, event ) {
+	if( win.IsFullScrMode() && (48<=event.keyCode) && (event.keyCode<=57) ) {
+		gSldJump = 1;
+		gSldJumpIdx += (event.keyCode-48).toString();
+	}
+	if( win.IsFullScrMode() && gSldJump && event.keyCode == 13 ) {
+		var numSlds = parent.GetSldList().mList.length
+		if ( gSldJumpIdx > numSlds )
+			gSldJumpIdx = numSlds;
+		if ( gSldJumpIdx >= 0 ) {
+			if ( gSldJumpIdx == 0 )
+				gSldJumpIdx = 1;
+			var jumpTo = parseInt(gSldJumpIdx);
+			gSldJump = 0; gSldJumpIdx = "";
+			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
+		}
+	}
+}
+
+function _KDH()
+{
+	if( event.keyCode == 8 ) {
+		event.returnValue = 0;
+		parent.GoToPrevSld();
+	}
+}function DocumentOnClick()
+{
+	if( IsNts() || parent.HideMenu() ) return;
+
+	if( ( g_allowAdvOnClick && (window.name=="PPTSld") && !parent.IsFramesMode() ) ||
+	    (event && event.keyCode==32) ) {
+		
+		if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonext )
+			return;
+
+		parent.GoToNextSld();
+	}
+}
+
+
+var g_supportsPPTHTML = SupportsPPTHTML(), g_scaleInFrame = 1, gId="", g_bgSound="",
+    g_scaleHyperlinks = false, g_allowAdvOnClick = 1, g_showInBrowser = 0, gLoopCont = 0, gUseSldTimings = 1;
+var g_showAnimation = g_supportsPPTHTML && SupportsPPTAnimation() && ( (window.name=="PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );var g_animManager = null;
+var g_animUseRuntime = false;
+var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
+var g_animMainSequence = null;
+
+var ENDSHOW_MESG="End of slide show, click to exit.", SCREEN_MODE="Frames", gIsEndShow=0, NUM_VIS_SLDS=61, SCRIPT_HREF="script.js", FULLSCR_HREF="fullscreen.htm";
+var gCurSld = gPrevSld = 1, g_offset = 0, gNtsOpen = gHasNts = gOtlTxtExp = 0, gHasNarration = 0, gOtlOpen = true
+window.gPPTHTML=SupportsPPTHTML()
+var g_fBaseHyperlink = false;
+var gMainDoc=new Array(new hrefList("slide0001.htm",1,-1,1),new hrefList("slide0073.htm",1,-1,1),new hrefList("slide0068.htm",1,-1,1),new hrefList("slide0002.htm",1,-1,1),new hrefList("slide0003.htm",1,-1,1),new hrefList("slide0067.htm",1,-1,1),new hrefList("slide0004.htm",1,-1,1),new hrefList("slide0005.htm",1,-1,1),new hrefList("slide0006.htm",1,-1,1),new hrefList("slide0007.htm",1,-1,1),new hrefList("slide0010.htm",1,-1,1),new hrefList("slide0011.htm",1,-1,1),new hrefList("slide0012.htm",1,-1,1),new hrefList("slide0013.htm",1,-1,1),new hrefList("slide0014.htm",1,-1,1),new hrefList("slide0016.htm",1,-1,1),new hrefList("slide0018.htm",1,-1,1),new hrefList("slide0015.htm",1,-1,1),new hrefList("slide0019.htm",1,-1,1),new hrefList("slide0020.htm",1,-1,1),new hrefList("slide0021.htm",1,-1,1),new hrefList("slide0022.htm",1,-1,1),new hrefList("slide0023.htm",1,-1,1),new hrefList("slide0027.htm",1,-1,1),new hrefList("slide0028.htm",1,-1,1),new hrefList("slide0029.htm",1,-1,1),new hrefList("slide0030.htm",1,-1,1),
new hrefList("slide0031.htm",1,-1,1),new hrefList("slide0032.htm",1,-1,1),new hrefList("slide0033.htm",1,-1,1),new hrefList("slide0034.htm",1,-1,1),new hrefList("slide0035.htm",1,-1,1),new hrefList("slide0036.htm",1,-1,1),new hrefList("slide0037.htm",1,-1,1),new hrefList("slide0038.htm",1,-1,1),new hrefList("slide0041.htm",1,-1,1),new hrefList("slide0039.htm",1,-1,1),new hrefList("slide0064.htm",1,-1,1),new hrefList("slide0040.htm",1,-1,1),new hrefList("slide0042.htm",1,-1,1),new hrefList("slide0045.htm",1,-1,1),new hrefList("slide0065.htm",1,-1,1),new hrefList("slide0044.htm",1,-1,1),new hrefList("slide0046.htm",1,-1,1),new hrefList("slide0047.htm",1,-1,1),new hrefList("slide0049.htm",1,-1,1),new hrefList("slide0048.htm",1,-1,1),new hrefList("slide0050.htm",1,-1,1),new hrefList("slide0066.htm",1,-1,1),new hrefList("slide0052.htm",1,-1,1),new hrefList("slide0054.htm",1,-1,1),new hrefList("slide0055.htm",1,-1,1),new hrefList("slide0058.htm",1,-1,1),new hrefList("slide0059.htm",1,-1,1),new hrefList("slide0060.
htm",1,-1,1),new hrefList("slide0053.htm",1,-1,1),new hrefList("slide0061.htm",1,-1,1),new hrefList("slide0062.htm",1,-1,1),new hrefList("slide0070.htm",1,-1,1),new hrefList("slide0069.htm",1,-1,1),new hrefList("slide0071.htm",1,-1,1));
+
+/*********************************************
+ Frameset functions
+
+ These functions control slide navigation
+ and state of the frameset.
+**********************************************/
+
+function RemoveFilePrefixFromHref(href)
+{
+	var regExp = /^file:\/\/\//i;
+	return href.replace(regExp, "")
+}
+
+function FullScrInit()
+{
+	g_allowAdvOnClick = GetCurSld().mAdvOnClk
+	document.body.style.backgroundColor="black"
+	document.oncontextmenu=parent._CM;
+	document.onkeydown = _KDH;
+	document.ondragstart=Cancel
+	document.onselectstart=Cancel
+	self.focus()
+}
+
+function Redirect( frmId )
+{	
+	var str=document.location.hash,idx=str.indexOf('#'), sId=GetSldId()
+	if(idx>=0) str=str.substr(1);
+	if( window.name != frmId && ( sId != str) ) {
+		obj = GetObj("Main-File")
+		window.location.href=obj.href+"#"+sId
+		return 1
+	}
+	return 0
+}
+
+var MHTMLPrefix = CalculateMHTMLPrefix(); 
+function CalculateMHTMLPrefix()
+{
+	if ( document.location.protocol == 'mhtml:') { 
+		href=new String(document.location.href) 
+		Start=href.indexOf('!')+1 
+		End=href.lastIndexOf('/')+1 
+		if (End < Start) 
+			return href.substring(0, Start) 
+		else 
+		return href.substring(0, End) 
+	}
+	return '';
+}
+
+function GetTags(base,tag)
+{
+	if(g_supportsPPTHTML) return base.all.tags(tag);
+	else return base.getElementsByTagName(tag);
+}
+
+
+function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLPrefix+GetHrefObj( gCurSld ).mNtsHref ) }
+
+function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }
+
+function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }
+
+function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }
+
+function SetHasNts( fVal )
+{
+	if( gHasNts != fVal ) {
+		gHasNts=fVal
+		UpdNavPane()
+	}
+}
+
+function ToggleOtlText()
+{
+	gOtlTxtExp=!gOtlTxtExp
+	UpdOtlPane()
+}
+
+function ClearMedia()
+{
+	// Clear any sounds playing before launching another browser window. Otherwise,
+	// in fullscreen mode, you'll continue to hear the sound in the frames mode.
+	if (PPTSld.pptSound) PPTSld.pptSound.loop = 0;
+}
+
+function FullScreen()
+{ 
+	if ( PPTSld.g_animUseRuntime )
+		PPTSld.document.body.pause();
+	ClearMedia();
+	var href = ( document.location.protocol == 'mhtml:') ? FULLSCR_HREF : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
+	if (MHTMLPrefix != "")
+		href = RemoveFilePrefixFromHref(href)
+	if(PPTNav.event.ctrlKey) {
+		var w = (window.screen.availWidth * 1.0) / 2.0
+		var h = w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
+		win = window.open( MHTMLPrefix+href,null,"toolbar=0,resizable=1,top=0,left=0," + "width="+ w + ",height=" + h );
+		if( win.document.body && PPTSld.g_animUseRuntime )
+			win.document.body.PPTSldFrameset=window;
+	}
+	else
+	{
+		win = window.open( MHTMLPrefix+href,null,"fullscreen=yes" );
+		if( win.document.body && PPTSld.g_animUseRuntime )
+			win.document.body.PPTSldFrameset=window;
+	}
+}
+
+function ToggleVNarration()
+{
+	rObj=PPTSld.document.all("NSPlay")
+	if( rObj && !PPTSld.g_animUseRuntime ) {
+		if( (rObj.playState == 1)||(rObj.playState == 0) )
+			rObj.Play()
+		else if( rObj.playState == 2 )
+			rObj.Pause()
+		else
+			return;
+	}
+	else if( PPTSld.g_animUseRuntime )
+	{
+		narObj = PPTSld.document.all("narrationID")
+		if( narObj )
+			narObj.togglePause()
+	}
+}
+
+function GetCurSldNum()
+{   
+	obj=GetHrefObj(gCurSld)
+	if( obj.mOrigVis == 1 )
+		return obj.mSldIdx
+	else   
+		return gCurSld
+}
+
+function GetNumSlds()
+{   
+	if( GetHrefObj(gCurSld).mOrigVis == 1 )
+		return GetSldList().mNumVisSlds;
+	else
+		return GetSldList().mList.length
+}
+
+function GetSldNum( href )
+{
+	for(ii=0; ii<GetSldList().mList.length; ii++) {
+		if ( GetSldList().mList[ii].mSldHref == href )
+			return ii+1
+	}
+	return 1
+}
+
+function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }
+
+function IsFramesMode(){ return ( SCREEN_MODE == "Frames" ) }
+
+function IsFullScrMode(){ return ( SCREEN_MODE == "FullScreen" ) }
+
+function GoToNextSld()
+{
+	ii=gCurSld + 1
+	if( GetHrefObj( ii-1 ).mOrigVis == 0 ) {
+		if( ii<=GetSldList().mList.length ) {
+			obj=GetHrefObj(ii)
+			obj.mVis=1
+			GoToSldNum(ii)
+			return
+		}
+	}
+	else {
+		obj=GetHrefObj( ii )
+		while ( obj && ( obj.mOrigVis == 0 ) )
+			obj=GetHrefObj(++ii)
+		if( obj && obj.mOrigVis ) {
+			GoToSldNum(ii)
+			return
+		}
+	}
+	if( gSldStack.length > 1 )
+		PopSldList();
+	else if( !IsFramesMode() ) {
+                if( gLoopCont )
+			GoToFirst()
+                else
+			EndShow()
+	}
+}
+
+function GoToPrevSld()
+{
+	ii=gCurSld-1
+	if( ii > 0 ) {
+		obj=GetHrefObj(ii)
+		while ( obj && ( obj.mVis == 0 ) && ( ii>0 ) )
+			obj=GetHrefObj(--ii)
+        if( ii == 0 ) ii=1
+		GoToSldNum(ii)
+	}
+}
+
+function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }
+
+function GoToLast()
+{
+	ii=GetSldList().mList.length
+	if( ii != gCurSld )
+		GoToSld( GetHrefObj(ii).mSldHref )
+}
+
+function GoToSldNum( num )
+{
+	if( PPTSld.event ) PPTSld.event.cancelBubble=true
+	obj = GetHrefObj( num )
+	obj.mVis=1
+	gPrevSld=gCurSld
+	gCurSld = num;
+	
+	if (MHTMLPrefix != "")
+		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref))
+	else
+		PPTSld.location.replace(obj.mSldHref)
+		
+	if( IsFramesMode() ) {
+		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
+	}
+}
+
+function GoToSld( href )
+{
+	if( PPTSld.event ) PPTSld.event.cancelBubble=true
+	GetHrefObj( GetSldNum(href) ).mVis=1
+	if (MHTMLPrefix != "")
+		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href))
+	else
+		PPTSld.location.replace(href)
+}
+
+function SldUpdated( id )
+{
+	if( id == GetHrefObj(gCurSld).mSldHref ) return
+	gPrevSld=gCurSld
+	gCurSld=GetSldNum(id)
+	if( IsFramesMode() ) {
+		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
+	}
+}
+
+function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
+function HasPrevSld() { return ( gIsEndShow || ( gCurSld != 1 && GetHrefObj( gCurSld-1 ).mVis == 1 )||( GetCurSldNum() > 1 ) ) }
+function HasNextSld() { return (GetCurSldNum() != GetNumSlds()) }
+
+function CloseWindow() {
+	if( HideMenu() ) return;
+	
+	var event = PPTSld.event;
+	if( !IsFramesMode() && event && (event.keyCode==27 || event.keyCode==32 || event.type=="click" ) )
+		window.close( self );
+	CatchNumKeys( self, event );
+}
+
+function Unload() { gIsEndShow=0; }
+
+function SetupEndShow() {
+	gIsEndShow=1;
+	PPTSld.document.body.scroll="no";
+	PPTSld.document.onkeypress=CloseWindow;
+	PPTSld.document.onclick=CloseWindow;
+	PPTSld.document.oncontextmenu=_CM;
+}
+
+function EndShow()
+{
+	if( IsFramesMode() ) return
+	if( PPTSld.event ) PPTSld.event.cancelBubble=true
+
+	doc=PPTSld.document
+	var dir = doc.body.dir
+	if( dir != "rtl" ) dir = "ltr";
+	doc.open()
+	doc.writeln('<html><body dir=' + dir + ' bgcolor=black onload=parent.SetupEndShow() onunload=parent.Unload()><center><p><font face=Tahoma color=white size=2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></body></html>')
+	doc.close()
+}
+
+function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=true }
+
+function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }
+
+function hrefList( sldHref, visible, advDelay, advClk )
+{
+	this.mSldHref= this.mNtsHref = sldHref
+	this.mOrigVis= this.mVis = visible
+	this.mVisited= false
+	this.mAdvDelay= advDelay
+	this.mAdvOnClk= advClk
+}
+
+function SldList(arr,curSld,fEnd)
+{
+	this.mCurSld = curSld;
+	this.mList = new Array();
+
+	var idx = 1;
+	for(ii=0;ii<arr.length;ii++) {
+		this.mList[ii] = new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[ii].mAdvDelay, arr[ii].mAdvOnClk );
+		if( arr[ii].mOrigVis )
+			this.mList[ii].mSldIdx = idx++;
+	}
+	this.mNumVisSlds = idx-1;
+	this.fEndShow = fEnd;
+}
+
+function GetSldList() {	return gSldStack[gSldStack.length-1] }
+function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1] }
+
+gSldStack = new Array();
+gSldStack[0] = new SldList(gMainDoc,gCurSld,1)
+function ToggleOtlPane()
+{
+	frmset=document.all("PPTHorizAdjust")
+	frm=document.all("PPTOtl")
+
+	if( gOtlOpen )
+		frmset.cols="*,100%"
+	else
+		frmset.cols="25%,*"
+
+	gOtlOpen=!gOtlOpen
+	frm.noResize=!frm.noResize
+	UpdOtNavPane()
+}
+
+function ToggleNtsPane()
+{
+	frmset=document.all("PPTVertAdjust")
+	frm=document.all("PPTNts")
+
+	if( gNtsOpen )
+		frmset.rows="100%,*"
+	else
+		frmset.rows="*,20%"
+
+	gNtsOpen=!gNtsOpen
+	UpdNtsPane()
+}
+
+/*********************************************
+Custom Shows implementation
+
+When ViewCustomShow() is called, we create
+a new array that is a subset of the slides in 
+the main doc. This list pushed on a stack so
+we can return after the end of the custom
+show.
+*********************************************/
+function ViewCustomShow(idx,fEnd)
+{
+	if( !IsFullScrMode() ) return;
+	var sldList = new Array();
+	var custShow = custShowList[idx-1];
+	var jj = 0;
+	for( ii=0;ii<custShow.length;ii++ ) {
+		if( custShow[ii] <= gMainDoc.length )
+			sldList[jj++] = gMainDoc[custShow[ii]-1];
+	}
+	if (sldList.length > 0) {
+	PushSldList(sldList,fEnd);
+	gCurSld = 1;
+	}
+	else
+		if( PPTSld.event ) PPTSld.event.cancelBubble=true
+}
+
+function PushSldList(arr,fEnd) {
+	var ii = gSldStack.length;
+	gSldStack[ii] = new SldList(arr,gCurSld,fEnd);
+	GoToSld( gSldStack[ii].mList[0].mSldHref );
+}
+
+function PopSldList() {
+	if (gSldStack[gSldStack.length-1].fEndShow)
+		EndShow()
+	else {
+	gCurSld = gSldStack[gSldStack.length-1].mCurSld;
+	gSldStack[gSldStack.length-1] = null;
+	gSldStack.length--;
+	var sldList = gSldStack[gSldStack.length-1];
+	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
+	}
+}
+var custShowList=new Array();
+
+/*********************************************
+ Navigation button implementation
+
+ There are 2 types of buttons: ImgBtn, TxtBtn
+ implemented as function objects. They share
+ a similiar interface so the event handlers
+ can call SetActive, for example, on a button 
+ object without needing to know exactly 
+ what type of button it is.
+**********************************************/
+
+//----------------------------------
+function ImgBtn( oId,bId,w,action )
+//----------------------------------
+{
+	var t=this
+	t.Perform    = _IBP
+	t.SetActive  = _IBSetA
+	t.SetInactive= _IBSetI
+	t.SetPressed = _IBSetP
+	t.SetDisabled= _IBSetD
+	t.Enabled    = _IBSetE
+	t.ChangeIcon = null
+	t.UserAction = action
+	t.ChgState   = _IBUI
+	t.mObjId   = oId
+	t.mBorderId= bId
+	t.mWidth   = w
+	t.mIsOn    = t.mCurState = 0
+}
+
+function _IBSetA()
+{
+	if( this.mIsOn ) {
+		obj=this.ChgState( gHiliteClr,gShadowClr,2 )
+		obj.style.posTop=0
+	}
+}
+
+function _IBSetI()
+{
+	if( this.mIsOn ) {
+		obj=this.ChgState( gFaceClr,gFaceClr,1 )
+		obj.style.posTop=0 
+	}
+}
+
+function _IBSetP()
+{
+	if( this.mIsOn ) {
+		obj=this.ChgState( gShadowClr,gHiliteClr,2 )
+		obj.style.posLeft+=1; obj.style.posTop+=1
+	}
+}
+
+function _IBSetD()
+{  
+	obj=this.ChgState( gFaceClr,gFaceClr,0 )
+	obj.style.posTop=0 
+}
+
+function _IBSetE( state )
+{
+	var t=this
+	GetObj( t.mBorderId ).style.visibility="visible"
+	if( state != t.mIsOn ) {
+		t.mIsOn=state
+		if( state )
+			t.SetInactive()
+		else
+			t.SetDisabled()
+	}
+}
+
+function _IBP()
+{
+	var t=this
+	if( t.mIsOn ) {
+		if( t.UserAction != null )
+			t.UserAction()
+		if( t.ChangeIcon ) {
+			obj=GetObj(t.mObjId)
+			if( t.ChangeIcon() )
+				obj.style.posLeft=obj.style.posLeft+(t.mCurState-4)*t.mWidth
+			else
+				obj.style.posLeft=obj.style.posLeft+(t.mCurState-0)*t.mWidth
+		}
+		t.SetActive()
+	}  
+}
+
+function _IBUI( clr1,clr2,nextState )
+{
+	var t=this
+	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
+	obj=GetObj( t.mObjId )
+	obj.style.posLeft=obj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj.style.posTop
+	t.mCurState=nextState
+	return obj
+}
+
+//-----------------------------------------
+function TxtBtn( oId,oeId,action,chkState )
+//-----------------------------------------
+{
+	var t=this
+	t.Perform    = _TBP
+	t.SetActive  = _TBSetA
+	t.SetInactive= _TBSetI
+	t.SetPressed = _TBSetP
+	t.SetDisabled= _TBSetD
+	t.SetEnabled = _TBSetE
+	t.GetState   = chkState
+	t.UserAction = action
+	t.ChgState   = _TBUI
+	t.mObjId      = oId
+	t.m_elementsId= oeId
+	t.mIsOn       = 1
+}
+
+function _TBSetA()
+{
+	var t=this
+	if( t.mIsOn && !t.GetState() )
+		t.ChgState( gHiliteClr,gShadowClr,0,0 )
+}
+
+function _TBSetI()
+{
+	var t=this
+	if( t.mIsOn && !t.GetState() )
+		t.ChgState( gFaceClr,gFaceClr,0,0 )
+}
+
+function _TBSetP()
+{
+	if( this.mIsOn )
+		this.ChgState( gShadowClr,gHiliteClr,1,1 )
+}
+
+function _TBSetD()
+{   
+	this.ChgState( gFaceClr,gFaceClr,0,0 )
+	this.mIsOn = 0
+}
+
+function _TBSetE()
+{
+	var t=this
+	if( !t.GetState() )
+		t.ChgState( gFaceClr,gFaceClr,0,0 )
+	else
+		t.ChgState( gShadowClr,gHiliteClr,1,1 )
+	t.mIsOn = 1
+}
+
+function _TBP()
+{
+	var t=this
+	if( t.mIsOn ) { 
+		if( t.UserAction != null )
+			t.UserAction()
+        if( !t.GetState )
+            return
+		if( t.GetState() )
+			t.SetPressed()
+		else
+			t.SetActive()
+	}  
+}
+
+function _TBUI( clr1,clr2,lOffset,tOffset )
+{
+	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
+	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
+}
+
+function Offset( obj, top, left ){ obj.style.top=top; obj.style.left=left }
+
+function SetBorder( obj, upperLeft, lowerRight )
+{
+	s=obj.style;
+	s.borderStyle      = "solid"
+	s.borderWidth      = 1 
+	s.borderLeftColor  = s.borderTopColor = upperLeft
+	s.borderBottomColor= s.borderRightColor = lowerRight
+}
+
+function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }
+
+function BtnOnOver(){ b=GetBtnObj(); if( b != null ) b.SetActive() }
+
+function BtnOnDown(){ b=GetBtnObj(); if( b != null ) b.SetPressed() }
+
+function BtnOnOut(){ b=GetBtnObj(); if( b != null ) b.SetInactive() }
+
+function BtnOnUp()
+{
+	b=GetBtnObj()
+	if( b != null )
+		b.Perform()
+	else
+		Upd()
+}
+function GetNtsState(){ return parent.gNtsOpen }
+
+function GetOtlState(){ return parent.gOtlOpen }
+
+function GetOtlTxtState(){ return parent.gOtlTxtExp }
+
+function NtsBtnSetFlag( fVal )
+{
+	s=document.all.item( this.m_flagId ).style
+	s.display="none"
+	if( fVal )
+		s.display=""
+	else
+		s.display="none"
+}
+
+function _BSetA_Border(){ b = gBtnArr[this.mObjId]; if( b != null ) b.SetActive() }
+
+function _BSetI_Border(){ b = gBtnArr[this.mObjId]; if( b != null ) b.SetInactive() }
+
+function _BSetP_Border(){ b = gBtnArr[this.mObjId]; if( b != null ) b.SetPressed() }
+
+function _BSetA_BorderImg()
+{ 
+	b = gBtnArr[this.mBorderId] 
+	if( b != null && this.mIsOn && !b.GetState() ) {
+		obj=this.ChgState( gHiliteClr,gShadowClr,2 )
+		obj.style.posTop=0
+	}
+}
+
+function _BSetI_BorderImg()
+{ 
+	b = gBtnArr[this.mBorderId]
+	if( b != null && this.mIsOn && !b.GetState() ) {
+		obj=this.ChgState( gFaceClr,gFaceClr,1 )
+		obj.style.posTop=0
+	}
+}
+
+
+var gHiliteClr="THREEDHIGHLIGHT",gShadowClr="THREEDSHADOW",gFaceClr="THREEDFACE"
+var gBtnArr = new Array()
+gBtnArr["nb_otl"] = new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPane,GetOtlState )
+gBtnArr["nb_otlElem"] = new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPane,GetOtlState )
+gBtnArr["nb_nts"] = new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleNtsPane )
+gBtnArr["nb_nts"].SetActive = _BSetA_BorderImg;
+gBtnArr["nb_nts"].SetInactive = _BSetI_BorderImg;
+gBtnArr["nb_ntsBorder"] = new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.ToggleNtsPane,GetNtsState )
+gBtnArr["nb_ntsElem"] = new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.ToggleNtsPane,GetNtsState )
+gBtnArr["nb_prevBorder"] = gBtnArr["nb_prev"]= new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToPrevSld )
+gBtnArr["nb_nextBorder"] = gBtnArr["nb_next"]= new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToNextSld )
+gBtnArr["nb_sldshw"]= new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent.FullScreen )
+gBtnArr["nb_sldshwBorder"] = new TxtBtn( "nb_sldshw","nb_sldshwBorder",parent.FullScreen,null )
+gBtnArr["nb_sldshwBorder"].SetActive = _BSetA_Border;
+gBtnArr["nb_sldshwBorder"].SetInactive = _BSetI_Border;
+gBtnArr["nb_sldshwText"] = new TxtBtn( "nb_sldshw","nb_sldshwText",parent.FullScreen,null )
+gBtnArr["nb_sldshwText"].SetActive = _BSetA_Border;
+gBtnArr["nb_sldshwText"].SetInactive = _BSetI_Border;
+gBtnArr["nb_voice"] = gBtnArr["nb_voiceBorder"] = new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.ToggleVNarration )
+gBtnArr["nb_otlTxtBorder"] = gBtnArr["nb_otlTxt"]= new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent.ToggleOtlText )
+gBtnArr["nb_ntsBorder"].m_flagId= "nb_nts"
+gBtnArr["nb_ntsBorder"].SetFlag = NtsBtnSetFlag
+gBtnArr["nb_otlTxt"].ChangeIcon= GetOtlTxtState
+
+/*********************************************
+ Context menu implementation
+
+ _CM() is the function that's hooked up to
+ the oncontextmenu event. Once we're asked to
+ show the menu, we first build it by creating
+ DIVs on-the-fly. Then we position it 
+ within the screen area so it doesn't get
+ clipped.
+
+ Creating the DIVs using createElement() means
+ we don't have to write out any extra HTML
+ into the slide HTML files.
+**********************************************/
+var sNext="Next",sPrev="Previous",sEnd="End Show",sFont="Arial",sArrow="Arrow",sFreeform="Freeform",sRect="Rectangle",sOval="Oval"
+
+function ShowMenu()
+{
+	BuildMenu();
+	var doc=PPTSld.document.body,x=PPTSld.event.clientX+doc.scrollLeft,y=PPTSld.event.clientY+doc.scrollTop
+	m = PPTSld.document.all.item("ctxtmenu")
+	m.style.pixelLeft=x
+	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
+		m.style.pixelLeft=x-m.scrollWidth
+
+	m.style.pixelTop=y
+	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
+		m.style.pixelTop=y-m.scrollHeight
+
+	m.style.display=""
+}
+
+function _CM()
+{
+	if( !parent.IsFullScrMode() ) return;
+	if(!PPTSld.event.ctrlKey) {
+		ShowMenu()
+		return false
+	} else
+		HideMenu()
+}
+
+function BuildMenu()
+{
+	if( PPTSld.document.all.item("ctxtmenu") ) return
+
+	var mObj=CreateItem( PPTSld.document.body )
+	mObj.id="ctxtmenu"
+	mObj.style.visibility="hidden"
+	var s=mObj.style
+	s.position="absolute"
+	s.cursor="default"
+	s.width="120px"
+	SetCMBorder(mObj,"menu","black")
+
+	var iObj=CreateItem( mObj )
+	SetCMBorder( iObj, "threedhighlight","threedshadow" )
+	iObj.style.padding=2
+	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
+	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
+	
+	CreateSeparator( iObj )
+	CreateMenuItem( iObj,sEnd,M_End,M_True )
+	mObj.style.visibility="visible"
+}
+
+function Cancel() { window.event.cancelBubble=true; window.event.returnValue=false }
+
+function Highlight() { ChangeClr("activecaption","threedhighlight") }
+
+function Deselect() { ChangeClr("threedface","menutext") }
+
+function Perform()
+{
+	e=PPTSld.event.srcElement
+	if( e.type=="menuitem" && e.IsActive() )
+		e.Action()
+	else
+		PPTSld.event.cancelBubble=true
+}
+function ChangeClr( bg,clr )
+{
+	e=PPTSld.event.srcElement
+	if( e.type=="menuitem" && e.IsActive() ) {
+		e.style.backgroundColor=bg
+		e.style.color=clr
+	}
+}
+
+function M_HasPrevSld() { return( parent.HasPrevSld() ) }
+
+function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }
+
+function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=0; history.back(); PPTSld.event.cancelBubble=true; } else GoToPrevSld() }
+
+function M_True() { return true }
+
+function M_End() { window.close( self ) }
+
+function CreateMenuItem( node,text,action,eval )
+{
+	var e=CreateItem( node )
+	e.type="menuitem"
+	e.Action=action
+	e.IsActive=eval
+	e.innerHTML=text
+
+	if( !e.IsActive() )
+		e.style.color="threedshadow"
+
+	e.onclick=Perform
+	e.onmouseover=Highlight
+	e.onmouseout=Deselect
+	s=e.style;
+	s.fontFamily=sFont
+	s.fontSize="9pt"
+	s.paddingLeft=2
+}
+
+function CreateSeparator( node )
+{
+	var sObj=CreateItem( node )
+	SetCMBorder(sObj,"menu","menu")
+	var s=sObj.style
+	s.borderTopColor="threedshadow"
+	s.borderBottomColor="threedhighlight"
+	s.height=1
+	s.fontSize="0px"
+}
+
+function CreateItem( node )
+{
+	var elem=PPTSld.document.createElement("DIV")
+	node.insertBefore( elem )
+	return elem
+}
+
+function SetCMBorder( o,ltClr,rbClr )
+{
+	var s=o.style
+	s.backgroundColor="menu"
+	s.borderStyle="solid"
+	s.borderWidth=1
+	s.borderColor=ltClr+" "+rbClr+" "+rbClr+" "+ltClr
+}
\ No newline at end of file

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0001.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0001.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,122 @@
+<html xmlns:v="urn:schemas-microsoft-com:vml"
+xmlns:o="urn:schemas-microsoft-com:office:office"
+xmlns:p="urn:schemas-microsoft-com:office:powerpoint"
+xmlns:oa="urn:schemas-microsoft-com:office:activation"
+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
+<link rel=Preview href=preview.wmf>
+<!--[if !mso]>
+<style>
+v\:* {behavior:url(#default#VML);}
+o\:* {behavior:url(#default#VML);}
+p\:* {behavior:url(#default#VML);}
+.shape {behavior:url(#default#VML);}
+v\:textbox {display:none;}
+</style>
+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: GTL  Geometry Template Library">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style>
+.CB
+	{color:black;}
+.CT
+	{color:black;}
+</style>
+<style media=print>
+<!--.sld
+	{left:0px !important;
+	width:6.0in !important;
+	height:4.5in !important;
+	font-size:107% !important;}
+-->
+</style>
+<script src=script.js></script><script><!--
+if( !IsNts() ) Redirect( "PPTSld" );
+//--></script><!--[if vml]><script>g_vml = 1;
+</script><![endif]--><![endif]><o:shapelayout v:ext="edit">
+ <o:idmap v:ext="edit" data="2"/>
+</o:shapelayout>
+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
+onclick="DocumentOnClick()" onresize="_RSW()" onload="LoadSld()"
+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
+width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%, 101%, 101%, 0%);
+visibility:hidden'><p:slide coordsize="720,540"
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
+  href="master03.xml#_x0000_s1030"/>
+ <div v:shape="_x0000_s1030" class=O style='text-align:right;position:absolute;
+ top:92.0%;left:72.65%;width:21.53%;height:3.25%'><span style='font-size:78%;
+ mso-field-code:meta16'>1</span><span style='font-size:78%;mso-special-format:
+ lastCR;display:none'>&#13;</span></div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s2050"
+  type="#_x0000_m1026" style='position:absolute;left:18pt;top:168pt;width:672pt;
+  height:115.75pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="centerTitle"/></v:shape><p:shaperange
+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s2051" type="#_x0000_m1027"
+  style='position:absolute;left:108pt;top:306pt;width:510pt;height:138pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="subTitle" position="1"/></v:shape><v:rect id="_x0000_s2052"
+  style='position:absolute;left:102pt;top:420pt;width:510pt;height:102pt'
+  filled="f" fillcolor="#bbe0e3 [4]" stroked="f" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect>
+ <div v:shape="_x0000_s2050" class=CT style='position:absolute;top:37.5%;
+ left:-4.68%;width:107.86%;height:9.25%'>GTL<span style='mso-spacerun:yes'> 
+ </span>Geometry Template Library</div>
+ <div v:shape="_x0000_s2051" class=CB style='position:absolute;top:57.75%;
+ left:12.17%;width:76.59%;height:6.75%'>-for stl-like polygon manipulation</div>
+ <div v:shape="_x0000_s2052" class=CB>
+ <div style='position:absolute;top:78.75%;left:11.04%;width:77.15%;height:6.75%'><i>Lucanus
+ Simonson, Gyuszi Suto&#13;</i></div>
+ <div style='position:absolute;top:87.25%;left:15.16%;width:68.91%;height:6.75%'>Intel
+ Corporation</div>
+ </div>
+ <v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75"
+  o:preferrelative="t" path="m_at_4@5l_at_4@11_at_9@11_at_9@5xe" filled="f" stroked="f">
+  <v:stroke joinstyle="miter"/>
+  <v:formulas>
+   <v:f eqn="if lineDrawn pixelLineWidth 0"/>
+   <v:f eqn="sum @0 1 0"/>
+   <v:f eqn="sum 0 0 @1"/>
+   <v:f eqn="prod @2 1 2"/>
+   <v:f eqn="prod @3 21600 pixelWidth"/>
+   <v:f eqn="prod @3 21600 pixelHeight"/>
+   <v:f eqn="sum @0 0 1"/>
+   <v:f eqn="prod @6 1 2"/>
+   <v:f eqn="prod @7 21600 pixelWidth"/>
+   <v:f eqn="sum @8 21600 0"/>
+   <v:f eqn="prod @7 21600 pixelHeight"/>
+   <v:f eqn="sum @10 21600 0"/>
+  </v:formulas>
+  <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
+  <o:lock v:ext="edit" aspectratio="t"/>
+ </v:shapetype><v:shape id="_x0000_s2053" type="#_x0000_t75" style='position:absolute;
+  left:42pt;top:0;width:636pt;height:189.125pt'>
+  <v:imagedata src="slide0001_image001.png" o:title=""/>
+ </v:shape><![if !vml]><img border=0 v:shapes="_x0000_s2053"
+ src="slide0001_image002.jpg" style='position:absolute;top:0%;left:5.8%;
+ width:88.38%;height:35.0%'><![endif]></p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0001_image001.png
==============================================================================
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0001_image002.jpg
==============================================================================
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0002.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0002.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,131 @@
+<html xmlns:v="urn:schemas-microsoft-com:vml"
+xmlns:o="urn:schemas-microsoft-com:office:office"
+xmlns:p="urn:schemas-microsoft-com:office:powerpoint"
+xmlns:oa="urn:schemas-microsoft-com:office:activation"
+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
+<link rel=Preview href=preview.wmf>
+<!--[if !mso]>
+<style>
+v\:* {behavior:url(#default#VML);}
+o\:* {behavior:url(#default#VML);}
+p\:* {behavior:url(#default#VML);}
+.shape {behavior:url(#default#VML);}
+v\:textbox {display:none;}
+</style>
+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: Agenda">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
+	{left:0px !important;
+	width:6.0in !important;
+	height:4.5in !important;
+	font-size:107% !important;}
+-->
+</style>
+<script src=script.js></script><script><!--
+if( !IsNts() ) Redirect( "PPTSld" );
+//--></script><!--[if vml]><script>g_vml = 1;
+</script><![endif]--><![endif]><o:shapelayout v:ext="edit">
+ <o:idmap v:ext="edit" data="3"/>
+</o:shapelayout>
+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
+onclick="DocumentOnClick()" onresize="_RSW()" onload="LoadSld()"
+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
+width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%, 101%, 101%, 0%);
+visibility:hidden'><p:slide coordsize="720,540"
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
+  href="master03.xml#_x0000_s1030"/>
+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>4</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s3074"
+  type="#_x0000_m1026" style='position:absolute;left:36pt;top:21.625pt;width:9in;
+  height:90pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="title"/></v:shape><p:shaperange
+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s3075" type="#_x0000_m1027"
+  style='position:absolute;left:18pt;top:126pt;width:258pt;height:354pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="body" position="1"/></v:shape>
+ <div v:shape="_x0000_s3074" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>Agenda</div>
+ <div v:shape="_x0000_s3075" class=B>
+ <div style='position:absolute;top:24.25%;left:3.55%;width:34.08%;height:5.25%'><span
+ style='position:absolute;top:0%;left:10.98%;width:88.46%;height:100.0%'><span
+ style='font-size:75%'><span class=BB style='position:absolute;left:-12.42%'>•</span></span><span
+ style='font-size:75%'>GTL Feature Set&#13;</span></span></div>
+ <span style='position:absolute;top:30.75%;left:7.3%;width:30.14%;height:5.25%'><span
+ style='font-size:75%'><span class=BB style='position:absolute;left:-12.42%'>•</span></span><span
+ style='font-size:75%'>Benchmark </span></span><span style='position:absolute;
+ top:36.0%;left:7.3%;width:30.14%;height:5.25%'><span style='font-size:75%'>Comparisons&#13;</span></span><span
+ style='position:absolute;top:42.5%;left:7.3%;width:35.2%;height:5.25%'><span
+ style='font-size:75%'><span class=BB style='position:absolute;left:-10.63%'>•</span></span><span
+ style='font-size:75%'>Generic Sweep-line </span></span><span style='position:
+ absolute;top:47.75%;left:7.3%;width:35.01%;height:5.25%'><span
+ style='font-size:75%'>Booleans Algorithm&#13;</span></span><span
+ style='position:absolute;top:54.0%;left:7.3%;width:30.14%;height:5.25%'><span
+ style='font-size:75%'><span class=BB style='position:absolute;left:-12.42%'>•</span></span><span
+ style='font-size:75%'>Numerical </span></span><span style='position:absolute;
+ top:59.5%;left:7.3%;width:30.14%;height:5.25%'><span style='font-size:75%'>Robustness&#13;</span></span><span
+ style='position:absolute;top:65.75%;left:7.3%;width:35.76%;height:5.25%'><span
+ style='font-size:75%'><span class=BB style='position:absolute;left:-10.47%'>•</span></span><span
+ style='font-size:75%'>Geometry Concepts </span></span><span style='position:
+ absolute;top:71.25%;left:7.3%;width:30.14%;height:5.25%'><span
+ style='font-size:75%'>Type System&#13;</span></span><span style='position:
+ absolute;top:77.5%;left:7.3%;width:33.89%;height:5.25%'><span
+ style='font-size:75%'><span class=BB style='position:absolute;left:-11.04%'>•</span></span><span
+ style='font-size:75%'>Booleans Operator </span></span><span style='position:
+ absolute;top:82.75%;left:7.3%;width:30.14%;height:5.25%'><span
+ style='font-size:75%'>Syntax</span></span></div>
+ <v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75"
+  o:preferrelative="t" path="m_at_4@5l_at_4@11_at_9@11_at_9@5xe" filled="f" stroked="f">
+  <v:stroke joinstyle="miter"/>
+  <v:formulas>
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+   <v:f eqn="sum 0 0 @1"/>
+   <v:f eqn="prod @2 1 2"/>
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+   <v:f eqn="sum @0 0 1"/>
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+   <v:f eqn="prod @7 21600 pixelWidth"/>
+   <v:f eqn="sum @8 21600 0"/>
+   <v:f eqn="prod @7 21600 pixelHeight"/>
+   <v:f eqn="sum @10 21600 0"/>
+  </v:formulas>
+  <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
+  <o:lock v:ext="edit" aspectratio="t"/>
+ </v:shapetype><v:shape id="_x0000_s3076" type="#_x0000_t75" style='position:absolute;
+  left:270pt;top:126pt;width:438pt;height:361.75pt'>
+  <v:imagedata src="slide0002_image003.png" o:title=""/>
+ </v:shape><![if !vml]><img border=0 v:shapes="_x0000_s3076"
+ src="slide0002_image004.jpg" style='position:absolute;top:23.25%;left:37.45%;
+ width:60.86%;height:67.0%'><![endif]></p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0002_image003.png
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0002_image004.jpg
==============================================================================
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+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="2" delay="0" type="object" effect="zoom" direction="out"
+   flag="16384"/></v:rect>
+ <div v:shape="_x0000_s5127" style='position:absolute;top:18.25%;left:.93%;
+ width:58.23%;height:67.75%'>
+ <div class=B style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:0%;left:6.43%;width:83.6%;height:7.74%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.69%'>•</span></span><span
+ style='font-size:75%'>No preconditions placed on </span></span><span
+ style='position:absolute;top:7.01%;left:6.43%;width:81.99%;height:7.74%'><span
+ style='font-size:75%'>input polygons&#13;</span></span></div>
+ <div id="_x0000_s5127_42_79" class=B1 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:15.49%;left:8.68%;width:81.02%;height:12.54%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:6.74%;width:93.25%;
+ height:52.94%'><span style='font-size:71%'><span style='mso-special-format:
+ bullet;position:absolute;left:-7.23%'>–</span></span><span style='font-size:
+ 71%'>Open/closed semantic for last </span></span><span style='position:absolute;
+ top:47.05%;left:6.74%;width:92.06%;height:52.94%'><span style='font-size:71%'>vertex&#13;</span></span></div>
+ <div id="_x0000_s5127_79_122" class=B1 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:28.78%;left:8.68%;width:91.31%;height:12.54%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:5.98%;width:94.01%;
+ height:52.94%'><span style='font-size:71%'><span style='mso-special-format:
+ bullet;position:absolute;left:-6.36%'>–</span></span><span style='font-size:
+ 71%'>Winding direction conventions not </span></span><span style='position:
+ absolute;top:47.05%;left:5.98%;width:81.69%;height:52.94%'><span
+ style='font-size:71%'>enforced&#13;</span></span></div>
+ <div id="_x0000_s5127_122_145" class=B1 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:41.69%;left:8.68%;width:79.74%;height:6.64%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:6.85%;width:93.54%;
+ height:100.0%'><span style='font-size:71%'><span style='mso-special-format:
+ bullet;position:absolute;left:-7.32%'>–</span></span><span style='font-size:
+ 71%'>Input polygons may be &#13;</span></span></div>
+ <div id="_x0000_s5127_145_159" class=B2 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:49.07%;left:17.36%;width:71.38%;height:5.9%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:5.85%;width:93.69%;
+ height:100.0%'><span style='font-size:75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-6.25%'>•</span></span><span style='font-size:
+ 75%'>self touching&#13;</span></span></div>
+ <div id="_x0000_s5127_159_177" class=B2 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:55.35%;left:17.36%;width:71.38%;height:5.9%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:5.85%;width:93.69%;
+ height:100.0%'><span style='font-size:75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-6.25%'>•</span></span><span style='font-size:
+ 75%'>self intersecting&#13;</span></span></div>
+ <div id="_x0000_s5127_177_194" class=B2 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:61.99%;left:17.36%;width:71.38%;height:5.9%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:5.85%;width:93.69%;
+ height:100.0%'><span style='font-size:75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-6.25%'>•</span></span><span style='font-size:
+ 75%'>self overlapping&#13;</span></span></div>
+ <div id="_x0000_s5127_194_239" class=B1 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:68.63%;left:8.68%;width:84.24%;height:12.54%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:6.48%;width:93.51%;
+ height:52.94%'><span style='font-size:71%'><span style='mso-special-format:
+ bullet;position:absolute;left:-6.93%'>–</span></span><span style='font-size:
+ 71%'>Correctly handles duplicate/co-</span></span><span style='position:absolute;
+ top:47.05%;left:6.48%;width:88.54%;height:52.94%'><span style='font-size:71%'>linear
+ points&#13;</span></span></div>
+ <div id="_x0000_s5127_239_325" class=B1 style='mso-line-spacing:"90 20 0";
+ position:absolute;top:81.54%;left:8.68%;width:82.31%;height:18.45%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:6.64%;width:93.35%;
+ height:36.0%'><span style='font-size:71%'><span style='mso-special-format:
+ bullet;position:absolute;left:-7.11%'>–</span></span><span style='font-size:
+ 71%'>Correctly handles zero degree </span></span><span style='position:absolute;
+ top:32.0%;left:6.64%;width:90.62%;height:36.0%'><span style='font-size:71%'>angles
+ and polygons that </span></span><span style='position:absolute;top:64.0%;
+ left:6.64%;width:93.35%;height:36.0%'><span style='font-size:71%'>degenerate
+ to lines and points</span></span></div>
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+  <v:path gradientshapeok="t" o:connecttype="rect"/>
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+ style='color:red'>?</span></div>
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+  left:463.25pt;top:268.125pt;width:10.375pt;height:10.375pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="13" delay="0" type="object" effect="zoom" direction="out"
+   flag="16388"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5132"
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+ width:1.87%;height:2.5%'><![endif]><v:oval id="_x0000_s5133" style='position:absolute;
+  left:619.25pt;top:295pt;width:10.375pt;height:10.375pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="17" delay="0" type="object" effect="zoom" direction="out"
+   flag="17412"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5133"
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+ width:1.87%;height:2.5%'><![endif]><v:oval id="_x0000_s5134" style='position:absolute;
+  left:629.625pt;top:311.25pt;width:10.375pt;height:10.375pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="16" delay="0" type="object" effect="zoom" direction="out"
+   flag="16388"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5134"
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+ width:1.87%;height:2.5%'><![endif]><v:oval id="_x0000_s5135" style='position:absolute;
+  left:477.5pt;top:354.375pt;width:10.375pt;height:10.375pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="15" delay="0" type="object" effect="zoom" direction="out"
+   flag="16388"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5135"
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+ width:1.87%;height:2.5%'><![endif]><v:oval id="_x0000_s5136" style='position:absolute;
+  left:513.125pt;top:397.375pt;width:10.375pt;height:10.375pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="14" delay="0" type="object" effect="zoom" direction="out"
+   flag="16388"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5136"
+ src="slide0004_image024.gif" style='position:absolute;top:73.5%;left:71.16%;
+ width:1.87%;height:2.5%'><![endif]><v:oval id="_x0000_s5137" style='position:absolute;
+  left:479.125pt;top:329.875pt;width:75pt;height:75.625pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="25" delay="0" type="object" effect="zoom" direction="out"
+   flag="17412"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5137"
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+ width:10.86%;height:14.75%'><![endif]><v:oval id="_x0000_s5138" style='position:absolute;
+  left:613.75pt;top:283.875pt;width:36.375pt;height:34.875pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="24" delay="0" type="object" effect="zoom" direction="out"
+   flag="16388"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5138"
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+  left:461.25pt;top:338.125pt;width:10.375pt;height:10.375pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="29" delay="0" type="object" effect="zoom" direction="out"
+   flag="16388"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5139"
+ src="slide0004_image027.gif" style='position:absolute;top:62.5%;left:64.04%;
+ width:1.87%;height:2.5%'><![endif]><v:oval id="_x0000_s5141" style='position:absolute;
+  left:625.125pt;top:106.5pt;width:78.625pt;height:79.375pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="34" delay="0" type="object" effect="zoom" direction="out"
+   flag="17412"/></v:oval><![if !vml]><img border=0 v:shapes="_x0000_s5141"
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+  left:633.75pt;top:162.5pt;width:11.125pt;height:10.25pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="red"
+  strokeweight="1.25pt">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+  <p:animation number="30" delay="0" type="object" effect="zoom" direction="out"
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+<meta name=Description content="5/15/2009: Boolean Operation Output Modes">
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+visibility:hidden'><p:slide coordsize="720,540"
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml" href="slide0006.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
+  href="master03.xml#_x0000_s1030"/>
+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>9</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><p:shaperange
+  href="master03.xml#_x0000_m1027"/><p:shaperange
+  href="slide0006.xml#_x0000_s7170"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7450,_x0000_s7451,_x0000_s7452,_x0000_s7453,_x0000_s7454,_x0000_s7455,_x0000_s7456,_x0000_s7457,_x0000_s7458,_x0000_s7459,_x0000_s7460,_x0000_s7461,_x0000_s7462"
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+ <div v:shape="_x0000_s7170" class=T style='position:absolute;top:8.0%;
+ left:-3.93%;width:109.55%;height:9.25%'>Boolean Operation Output Modes</div>
+ <div v:shape="_x0000_s7336">
+ <div class=B style='mso-line-spacing:"90 20 0";position:absolute;top:19.25%;
+ left:.93%;width:50.74%;height:5.25%'><span style='position:absolute;
+ top:0%;left:7.38%;width:92.61%;height:100.0%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.96%'>•</span></span><span
+ style='font-size:75%'>Manhattan Booleans&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:25.0%;
+ left:5.99%;width:45.69%;height:4.5%'><span style='position:absolute;
+ top:0%;left:6.96%;width:93.03%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.48%'>–</span></span><span
+ style='font-size:71%'>Polygons with lists of holes&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:29.75%;
+ left:5.99%;width:49.06%;height:4.5%'><span style='position:absolute;
+ top:0%;left:6.48%;width:93.51%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-6.93%'>–</span></span><span
+ style='font-size:71%'>Keyhole holes to outer polygon&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:34.75%;left:9.17%;width:42.69%;height:4.5%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.45%'>–</span></span><span
+ style='font-size:71%'>Horizontal and vertical sliced </span></span><span
+ style='position:absolute;top:38.75%;left:9.17%;width:42.5%;height:4.5%'><span
+ style='font-size:71%'>rectangle tiling&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"90 20 0";position:absolute;top:43.75%;
+ left:.93%;width:50.74%;height:5.25%'><span style='position:absolute;
+ top:0%;left:7.38%;width:92.61%;height:100.0%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.96%'>•</span></span><span
+ style='font-size:75%'>45-degree Booleans&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:49.5%;
+ left:5.99%;width:45.69%;height:4.5%'><span style='position:absolute;
+ top:0%;left:6.96%;width:93.03%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.48%'>–</span></span><span
+ style='font-size:71%'>Polygon with lists of holes&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:54.25%;
+ left:5.99%;width:49.06%;height:4.5%'><span style='position:absolute;
+ top:0%;left:6.48%;width:93.51%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-6.93%'>–</span></span><span
+ style='font-size:71%'>Keyhole holes to outer polygon&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:59.25%;
+ left:5.99%;width:46.25%;height:4.5%'><span style='position:absolute;
+ top:0%;left:6.88%;width:93.52%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.35%'>–</span></span><span
+ style='font-size:71%'>Vertical sliced trapezoid tiling&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"90 20 0";position:absolute;top:64.25%;
+ left:.93%;width:50.74%;height:5.25%'><span style='position:absolute;
+ top:0%;left:7.38%;width:92.61%;height:100.0%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.96%'>•</span></span><span
+ style='font-size:75%'>Arbitrary-angle Booleans&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:70.0%;
+ left:5.99%;width:45.69%;height:4.5%'><span style='position:absolute;
+ top:0%;left:6.96%;width:93.03%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.48%'>–</span></span><span
+ style='font-size:71%'>Polygon with lists of holes&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:74.75%;
+ left:5.99%;width:49.06%;height:4.5%'><span style='position:absolute;
+ top:0%;left:6.48%;width:93.51%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-6.93%'>–</span></span><span
+ style='font-size:71%'>Keyhole holes to outer polygon</span></span></div>
+ </div>
+ <div v:shape="_x0000_s7450" class=O>
+ <div style='text-align:center;position:absolute;top:86.0%;left:70.03%;
+ width:10.29%;height:4.0%'>Vertical&#13;</div>
+ <div style='text-align:center;position:absolute;top:90.0%;left:70.22%;
+ width:9.92%;height:4.0%'>Slicing</div>
+ </div>
+ <p:shaperange href="slide0006.xml#_x0000_s7463"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7463" src="slide0006_image033.gif" style='position:absolute;
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+ v:shapes="_x0000_s7478" src="slide0006_image048.gif" style='position:absolute;
+ top:47.0%;left:97.37%;width:.37%;height:10.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7479"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7479" src="slide0006_image049.gif" style='position:absolute;
+ top:45.75%;left:90.63%;width:.37%;height:1.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7480"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7480" src="slide0006_image050.gif" style='position:absolute;
+ top:45.75%;left:84.08%;width:.37%;height:6.0%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7481"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7481" src="slide0006_image051.gif" style='position:absolute;
+ top:56.99%;left:92.32%;width:5.43%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7482"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7482" src="slide0006_image052.gif" style='position:absolute;
+ top:51.5%;left:92.32%;width:.37%;height:6.0%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7483"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7483" src="slide0006_image053.gif" style='position:absolute;
+ top:47.0%;left:86.51%;width:2.99%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7484"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7484" src="slide0006_image054.gif" style='position:absolute;
+ top:47.0%;left:86.51%;width:.37%;height:2.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7485"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7485" src="slide0006_image055.gif" style='position:absolute;
+ top:45.75%;left:89.13%;width:.37%;height:4.0%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7486"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7486,_x0000_s7487" src="slide0006_image056.gif"
+ style='position:absolute;top:41.5%;left:68.91%;width:20.59%;height:17.5%'><![endif]>
+ <div v:shape="_x0000_s7487" class=O>
+ <div style='text-align:center;position:absolute;top:46.25%;left:70.03%;
+ width:9.92%;height:4.0%'>Hole &#13;</div>
+ <div style='text-align:center;position:absolute;top:50.24%;left:68.16%;
+ width:13.67%;height:4.0%'>Fracturing</div>
+ </div>
+ <p:shaperange href="slide0006.xml#_x0000_s7500"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7500" src="slide0006_image057.gif" style='position:absolute;
+ top:24.75%;left:84.08%;width:7.11%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7501"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7501" src="slide0006_image058.gif" style='position:absolute;
+ top:30.25%;left:84.08%;width:8.8%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7502"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7502" src="slide0006_image059.gif" style='position:absolute;
+ top:26.0%;left:90.82%;width:7.11%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7503"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7503" src="slide0006_image060.gif" style='position:absolute;
+ top:26.0%;left:97.37%;width:.37%;height:10.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7504"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7504" src="slide0006_image061.gif" style='position:absolute;
+ top:24.75%;left:90.82%;width:.37%;height:1.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7505"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7505" src="slide0006_image062.gif" style='position:absolute;
+ top:24.75%;left:84.08%;width:.37%;height:6.0%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7506"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7506" src="slide0006_image063.gif" style='position:absolute;
+ top:36.0%;left:92.5%;width:5.43%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7507"/><![if !vml]><img border=0
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+ top:30.25%;left:92.5%;width:.37%;height:6.0%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7508"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7508" src="slide0006_image065.gif" style='position:absolute;
+ top:26.0%;left:86.51%;width:2.99%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7509"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7509" src="slide0006_image066.gif" style='position:absolute;
+ top:26.0%;left:86.51%;width:.37%;height:2.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7510"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7510" src="slide0006_image067.gif" style='position:absolute;
+ top:26.0%;left:89.13%;width:.37%;height:2.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7511"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7511,_x0000_s7512" src="slide0006_image068.gif"
+ style='position:absolute;top:20.0%;left:69.1%;width:20.41%;height:17.5%'><![endif]>
+ <div v:shape="_x0000_s7512" class=O>
+ <div style='text-align:center;position:absolute;top:25.0%;left:69.66%;
+ width:11.04%;height:4.0%'>Polygon&#13;</div>
+ <div style='text-align:center;position:absolute;top:28.99%;left:67.79%;
+ width:14.6%;height:4.0%'>With Holes</div>
+ </div>
+ <p:shaperange href="slide0006.xml#_x0000_s7513"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7513" src="slide0006_image069.gif" style='position:absolute;
+ top:45.5%;left:54.11%;width:7.11%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7514"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7514" src="slide0006_image070.gif" style='position:absolute;
+ top:51.0%;left:54.11%;width:8.8%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7515"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7515" src="slide0006_image071.gif" style='position:absolute;
+ top:46.5%;left:60.86%;width:7.11%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7516"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7516" src="slide0006_image072.gif" style='position:absolute;
+ top:46.5%;left:67.41%;width:.37%;height:10.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7517"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7517" src="slide0006_image073.gif" style='position:absolute;
+ top:45.5%;left:60.86%;width:.37%;height:1.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7518"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7518" src="slide0006_image074.gif" style='position:absolute;
+ top:45.5%;left:54.11%;width:.37%;height:6.0%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7519"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7519" src="slide0006_image075.gif" style='position:absolute;
+ top:56.49%;left:62.54%;width:5.43%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7520"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7520" src="slide0006_image076.gif" style='position:absolute;
+ top:51.0%;left:62.54%;width:.37%;height:6.0%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7521"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7521" src="slide0006_image077.gif" style='position:absolute;
+ top:46.5%;left:56.74%;width:2.99%;height:.5%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7522"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7522" src="slide0006_image078.gif" style='position:absolute;
+ top:46.5%;left:56.74%;width:.37%;height:2.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7523"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7523" src="slide0006_image079.gif" style='position:absolute;
+ top:46.5%;left:59.17%;width:.37%;height:2.75%'><![endif]><p:shaperange
+  href="slide0006.xml#_x0000_s7524"/><![if !vml]><img border=0
+ v:shapes="_x0000_s7524" src="slide0006_image080.gif" style='position:absolute;
+ top:48.75%;left:56.74%;width:2.99%;height:.5%'><![endif]><p:shaperange
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+ left:-10.47%'>•</span></span><span style='font-size:63%'>100X performance
+ delta </span></span><span style='position:absolute;top:23.33%;left:9.47%;
+ width:87.67%;height:30.0%'><span style='font-size:63%'>between optimal gtl 90-</span></span><span
+ style='position:absolute;top:48.33%;left:9.47%;width:80.56%;height:30.0%'><span
+ style='font-size:63%'>degree algorithm and </span></span><span
+ style='position:absolute;top:71.66%;left:9.47%;width:80.56%;height:30.0%'><span
+ style='font-size:63%'>general algorithms&#13;</span></span></div>
+ <div id="_x0000_s15363_86_119" style='mso-line-spacing:"80 20 0";position:
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+ style='position:absolute;top:0%;left:9.34%;width:90.65%;height:56.25%'><span
+ style='font-size:63%'><span style='mso-special-format:bullet;position:absolute;
+ left:-10.3%'>•</span></span><span style='font-size:63%'>gtl 45-degree Boolean
+ is </span></span><span style='position:absolute;top:43.75%;left:9.34%;
+ width:79.43%;height:56.25%'><span style='font-size:63%'>optimal&#13;</span></span></div>
+ <div id="_x0000_s15363_119_166" style='mso-line-spacing:"80 20 0";position:
+ absolute;top:32.63%;left:0%;width:97.24%;height:11.22%;white-space:nowrap'><span
+ style='position:absolute;top:0%;left:9.43%;width:80.18%;height:56.25%'><span
+ style='font-size:63%'><span style='mso-special-format:bullet;position:absolute;
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+ style='position:absolute;top:43.75%;left:9.43%;width:90.56%;height:56.25%'><span
+ style='font-size:63%'>Boolean (gtlb) is optimal&#13;</span></span></div>
+ <div id="_x0000_s15363_166_250" style='mso-line-spacing:"80 20 0";position:
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+ style='position:absolute;top:0%;left:10.3%;width:87.62%;height:30.0%'><span
+ style='font-size:63%'><span style='mso-special-format:bullet;position:absolute;
+ left:-11.76%'>•</span></span><span style='font-size:63%'>gtl arbitrary angle </span></span><span
+ style='position:absolute;top:23.33%;left:10.3%;width:87.62%;height:30.0%'><span
+ style='font-size:63%'>Boolean is slightly </span></span><span
+ style='position:absolute;top:46.66%;left:10.3%;width:89.69%;height:30.0%'><span
+ style='font-size:63%'>suboptimal due to line </span></span><span
+ style='position:absolute;top:71.66%;left:10.3%;width:87.62%;height:30.0%'><span
+ style='font-size:63%'>segment intersection&#13;</span></span></div>
+ <div id="_x0000_s15363_250_298" style='mso-line-spacing:"80 20 0";position:
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+ style='position:absolute;top:0%;left:9.17%;width:90.82%;height:56.25%'><span
+ style='font-size:63%'><span style='mso-special-format:bullet;position:absolute;
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+ width:78.44%;height:56.25%'><span style='font-size:63%'>a high constant
+ factor&#13;</span></span></div>
+ <div id="_x0000_s15363_298_343" style='mso-line-spacing:"80 20 0";position:
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+ style='position:absolute;top:0%;left:9.43%;width:84.43%;height:56.25%'><span
+ style='font-size:63%'><span style='mso-special-format:bullet;position:absolute;
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+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:56.0%;left:4.68%;width:107.86%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.47%'>•</span>Performance of GTL could be
+ improved by up </span><span style='position:absolute;top:62.5%;left:4.68%;
+ width:108.23%;height:6.75%'>to 10X with further work on the arbitrary-angle </span><span
+ style='position:absolute;top:68.75%;left:4.68%;width:94.38%;height:6.75%'>Booleans&#13;</span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:76.5%;left:4.68%;width:107.67%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.47%'>•</span>If you have 45-degree or
+ Manhattan polygons </span><span style='position:absolute;top:83.0%;left:4.68%;
+ width:94.38%;height:6.75%'>gtl provides 50X and 100X performance </span><span
+ style='position:absolute;top:89.5%;left:4.68%;width:94.38%;height:6.75%'>advantage
+ over cgal</span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0015.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0015.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,108 @@
+<html xmlns:v="urn:schemas-microsoft-com:vml"
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+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
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+v\:textbox {display:none;}
+</style>
+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: Generic Sweep-line Algorithm">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
+	{left:0px !important;
+	width:6.0in !important;
+	height:4.5in !important;
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+-->
+</style>
+<script src=script.js></script><script><!--
+if( !IsNts() ) Redirect( "PPTSld" );
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+<body lang=EN-US style='margin:0px;background-color:black'
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+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
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+visibility:hidden'><p:slide coordsize="720,540"
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
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+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>18</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s17410"
+  type="#_x0000_m1026" style='position:absolute;left:36pt;top:21.625pt;width:9in;
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+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="title"/></v:shape><p:shaperange
+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s17411" type="#_x0000_m1027"
+  style='position:absolute;left:36pt;top:102pt;width:635.625pt;height:380.375pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="body" position="1"/></v:shape>
+ <div v:shape="_x0000_s17410" class=T style='position:absolute;top:8.0%;
+ left:1.49%;width:97.19%;height:9.25%'>Generic Sweep-line Algorithm</div>
+ <div v:shape="_x0000_s17411" class=B>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:19.5%;left:9.73%;width:82.77%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-4.52%'>•</span>Sweep-line algorithms for
+ polygon </span><span style='position:absolute;top:25.75%;left:9.73%;
+ width:90.44%;height:6.75%'>clipping is a tradition that goes back to </span><span
+ style='position:absolute;top:32.25%;left:9.73%;width:82.77%;height:6.75%'>1979&#13;</span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:40.0%;left:9.73%;width:96.06%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.89%'>•</span>Sweep-line is the best known
+ method for </span><span style='position:absolute;top:46.25%;left:9.73%;
+ width:82.77%;height:6.75%'>line segment intersection&#13;</span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:54.25%;left:9.73%;width:97.0%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.86%'>•</span>GTL implements different sweep
+ lines for </span><span style='position:absolute;top:60.5%;left:9.73%;
+ width:94.94%;height:6.75%'>Manhattan, 45-degree and general case&#13;</span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:68.25%;left:9.73%;width:82.77%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-4.52%'>•</span>GTL Booleans sweep-lines are </span><span
+ style='position:absolute;top:74.75%;left:9.73%;width:92.88%;height:6.75%'>parameterized
+ to allow them to perform </span><span style='position:absolute;top:81.0%;
+ left:9.73%;width:82.77%;height:6.75%'>multiple operations&#13;</span></div>
+ <div style='mso-line-spacing:"90 20 0";position:absolute;top:89.0%;left:5.99%;
+ width:86.51%;height:6.75%'><span style='position:absolute;top:0%;left:4.32%;
+ width:95.67%;height:100.0%'><span style='visibility:hidden'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.52%'>•</span></span><span
+ style='mso-special-format:lastCR;display:none'>&#13;</span></span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0016.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0016.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,132 @@
+<html xmlns:v="urn:schemas-microsoft-com:vml"
+xmlns:o="urn:schemas-microsoft-com:office:office"
+xmlns:p="urn:schemas-microsoft-com:office:powerpoint"
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+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
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+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description
+content="5/15/2009: Observations on GPC, CGAL and PolyBoolean">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
+	{left:0px !important;
+	width:6.0in !important;
+	height:4.5in !important;
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+</style>
+<script src=script.js></script><script><!--
+if( !IsNts() ) Redirect( "PPTSld" );
+//--></script><!--[if vml]><script>g_vml = 1;
+</script><![endif]--><![endif]><o:shapelayout v:ext="edit">
+ <o:idmap v:ext="edit" data="18"/>
+</o:shapelayout>
+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
+onclick="DocumentOnClick()" onresize="_RSW()" onload="LoadSld()"
+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
+width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%, 101%, 101%, 0%);
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+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
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+  href="master03.xml#_x0000_s1030"/>
+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>16</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s18434"
+  type="#_x0000_m1026" style='position:absolute;left:36pt;top:21.625pt;width:9in;
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+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="title"/></v:shape><p:shaperange
+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s18435" type="#_x0000_m1027"
+  style='position:absolute;left:19.625pt;top:114.125pt;width:684pt;height:417pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="body" position="1"/></v:shape>
+ <div v:shape="_x0000_s18434" class=T><span style='position:absolute;
+ top:4.0%;left:.18%;width:99.81%;height:8.5%'><span style='font-size:91%'>Observations
+ on GPC, CGAL and </span></span><span style='position:absolute;top:12.75%;
+ left:5.99%;width:88.2%;height:8.5%'><span style='font-size:91%'>PolyBoolean</span></span></div>
+ <div v:shape="_x0000_s18435" class=B>
+ <div style='mso-line-spacing:"90 20 0";position:absolute;top:21.75%;
+ left:3.74%;width:95.5%;height:5.25%'><span style='position:absolute;
+ top:0%;left:3.92%;width:96.07%;height:100.0%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.08%'>•</span></span><span
+ style='font-size:75%'>We found at least two different bugs in PolyBoolean&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0";position:absolute;top:27.5%;left:3.74%;
+ width:93.07%;height:5.25%'><span style='position:absolute;top:0%;left:4.02%;
+ width:95.97%;height:100.0%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.19%'>•</span></span><span
+ style='font-size:75%'>We found one bug in CGAL&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:33.25%;left:7.49%;width:97.94%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.82%'>•</span></span><span
+ style='font-size:75%'>GPC and PolyBoolean have very difficult to use C-style </span></span><span
+ style='position:absolute;top:38.25%;left:7.49%;width:89.32%;height:5.25%'><span
+ style='font-size:75%'>APIs&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:44.0%;left:7.49%;width:102.62%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.64%'>•</span></span><span
+ style='font-size:75%'>GPC and PolyBoolean cannot merge multiple overlapping </span></span><span
+ style='position:absolute;top:48.75%;left:7.49%;width:89.32%;height:5.25%'><span
+ style='font-size:75%'>polygons in one step&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:54.75%;left:7.49%;width:104.3%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.59%'>•</span></span><span
+ style='font-size:75%'>GPC and PolyBoolean both have O(n</span><span
+ style='font-size:50%;position:relative;top:-.45em;mso-text-raise:30%'>1.5</span><span
+ style='font-size:75%'>log n) line segment </span></span><span
+ style='position:absolute;top:59.5%;left:7.49%;width:104.49%;height:5.25%'><span
+ style='font-size:75%'>intersection algorithms (sort all edges that intersect
+ sweep-</span></span><span style='position:absolute;top:64.25%;left:7.49%;
+ width:89.32%;height:5.25%'><span style='font-size:75%'>line at every x)&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:70.0%;left:7.49%;width:104.49%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.58%'>•</span></span><span
+ style='font-size:75%'>PolyBoolean has O(n * m * k) algorithm to determine
+ which </span></span><span style='position:absolute;top:75.0%;left:7.49%;
+ width:106.36%;height:5.25%'><span style='font-size:75%'>polygons contain which
+ holes (n polygons, m holes, k points </span></span><span style='position:absolute;
+ top:79.75%;left:7.49%;width:89.32%;height:5.25%'><span style='font-size:75%'>per
+ polygon), which is O(n^2) in the worst case&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:85.5%;left:7.49%;width:106.17%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.52%'>•</span></span><span
+ style='font-size:75%'>CGAL requires that overlapping polygons be merged before
+ </span></span><span style='position:absolute;top:90.25%;left:7.49%;width:89.32%;
+ height:5.25%'><span style='font-size:75%'>being an input to a Boolean, but can
+ do that itself</span></span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0018.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0018.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,118 @@
+<html xmlns:v="urn:schemas-microsoft-com:vml"
+xmlns:o="urn:schemas-microsoft-com:office:office"
+xmlns:p="urn:schemas-microsoft-com:office:powerpoint"
+xmlns:oa="urn:schemas-microsoft-com:office:activation"
+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
+<link rel=Preview href=preview.wmf>
+<!--[if !mso]>
+<style>
+v\:* {behavior:url(#default#VML);}
+o\:* {behavior:url(#default#VML);}
+p\:* {behavior:url(#default#VML);}
+.shape {behavior:url(#default#VML);}
+v\:textbox {display:none;}
+</style>
+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: Observations About Preconditions">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
+	{left:0px !important;
+	width:6.0in !important;
+	height:4.5in !important;
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+-->
+</style>
+<script src=script.js></script><script><!--
+if( !IsNts() ) Redirect( "PPTSld" );
+//--></script><!--[if vml]><script>g_vml = 1;
+</script><![endif]--><![endif]><o:shapelayout v:ext="edit">
+ <o:idmap v:ext="edit" data="21"/>
+</o:shapelayout>
+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
+onclick="DocumentOnClick()" onresize="_RSW()" onload="LoadSld()"
+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
+width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%, 101%, 101%, 0%);
+visibility:hidden'><p:slide coordsize="720,540"
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
+  href="master03.xml#_x0000_s1030"/>
+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>17</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s21506"
+  type="#_x0000_m1026" style='position:absolute;left:36pt;top:21.625pt;width:9in;
+  height:90pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="title"/></v:shape><p:shaperange
+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s21507" type="#_x0000_m1027"
+  style='position:absolute;left:36pt;top:126pt;width:9in;height:377.25pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="body" position="1"/></v:shape>
+ <div v:shape="_x0000_s21506" class=T style='position:absolute;top:8.5%;
+ left:-.37%;width:100.93%;height:8.5%'><span style='font-size:91%'>Observations
+ About Preconditions</span></div>
+ <div v:shape="_x0000_s21507" class=B>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:23.75%;left:9.73%;width:98.12%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.81%'>•</span></span><span
+ style='font-size:75%'>CGAL throws an “Precondition Violated” exception if an </span></span><span
+ style='position:absolute;top:28.74%;left:9.73%;width:91.01%;height:5.25%'><span
+ style='font-size:75%'>input polygon is self intersecting/overlapping or has </span></span><span
+ style='position:absolute;top:33.5%;left:9.73%;width:84.45%;height:5.25%'><span
+ style='font-size:75%'>“closed” semantic at last vertex&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:39.25%;left:9.73%;width:97.37%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.84%'>•</span></span><span
+ style='font-size:75%'>PolyBoolean returns a “bad input polygon” error code if </span></span><span
+ style='position:absolute;top:44.0%;left:9.73%;width:100.74%;height:5.25%'><span
+ style='font-size:75%'>an input polygon is self intersecting/overlapping has
+ zero </span></span><span style='position:absolute;top:48.75%;left:9.73%;
+ width:84.45%;height:5.25%'><span style='font-size:75%'>area or is a hole with
+ no enclosing polygon&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:54.75%;left:9.73%;width:100.0%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.74%'>•</span></span><span
+ style='font-size:75%'>Both PolyBoolean and CGAL inform the user the input is </span></span><span
+ style='position:absolute;top:59.5%;left:9.73%;width:98.12%;height:5.25%'><span
+ style='font-size:75%'>bad when a bug in their algorithms leads to a fatal
+ error&#13;</span></span></div>
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+ style='font-size:75%'>GTL has no preconditions and produces correct output in </span></span><span
+ style='position:absolute;top:80.75%;left:9.73%;width:84.45%;height:5.25%'><span
+ style='font-size:75%'>all cases</span></span></div>
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+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0019.htm
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+ left:-4.49%;width:109.55%;height:9.25%'>Better Booleans through Calculus</div>
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+ style='position:absolute;top:0%;left:3.88%;width:96.11%;height:100.0%'><span
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+ style='position:absolute;top:0%;left:3.88%;width:96.11%;height:100.0%'><span
+ style='visibility:hidden'><span class=BB style='position:absolute;left:-4.04%'>•</span></span>&#13;</span></div>
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+ style='position:absolute;top:0%;left:3.88%;width:96.11%;height:100.0%'><span
+ style='visibility:hidden'><span class=BB style='position:absolute;left:-4.04%'>•</span></span>&#13;</span></div>
+ <span style='position:absolute;top:56.0%;left:6.36%;width:107.3%;height:6.75%'><span
+ class=BB style='position:absolute;left:-3.49%'>•</span>We will explain how it
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+ <div v:shape="_x0000_s26626" class=T style='position:absolute;top:8.0%;
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+ 63%'>If you want to sum two piece-wise linear functions (continuous) &#13;</span></span></div>
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+ nowrap'><span style='position:absolute;top:0%;left:3.47%;width:96.52%;
+ height:100.0%'><span style='font-size:64%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.6%'>–</span></span><span style='font-size:
+ 64%'>you can take the derivative of each (discreet)&#13;</span></span></div>
+ <div id="_x0000_s26627_251_333" class=B1 style='mso-line-spacing:"80 20 0";
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+ nowrap'><span style='position:absolute;top:0%;left:3.2%;width:96.98%;
+ height:55.17%'><span style='font-size:64%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.3%'>–</span></span><span style='font-size:
+ 64%'>combine their derivatives in linear time by merging (sum any overlapping </span></span><span
+ style='position:absolute;top:41.37%;left:3.2%;width:88.88%;height:55.17%'><span
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+ nowrap'><span style='position:absolute;top:0%;left:3.47%;width:96.52%;
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+ bullet;position:absolute;left:-3.6%'>–</span></span><span style='font-size:
+ 64%'>and then integrate by summing from low to high (in linear time)&#13;</span></span></div>
+ <div id="_x0000_s26627_397_478" class=B style='mso-line-spacing:"80 20 0";
+ position:absolute;top:64.32%;left:0%;width:94.56%;height:18.71%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:3.48%;width:96.51%;
+ height:56.25%'><span style='font-size:63%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.61%'>•</span></span><span style='font-size:
+ 63%'>The math is what allows the boolean algorithm to achieve optimal time </span></span><span
+ style='position:absolute;top:46.87%;left:3.48%;width:86.23%;height:56.25%'><span
+ style='font-size:63%'>complexity&#13;</span></span></div>
+ <div id="_x0000_s26627_478_608" class=B1 style='mso-line-spacing:"80 20 0";
+ position:absolute;top:83.04%;left:4.44%;width:95.55%;height:16.95%;white-space:
+ nowrap'><span style='position:absolute;top:0%;left:2.93%;width:97.24%;
+ height:55.17%'><span style='font-size:64%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.01%'>–</span></span><span style='font-size:
+ 64%'>All we do is sort vertices, but you have to carry the dxdy values along
+ with them </span></span><span style='position:absolute;top:44.82%;left:2.93%;
+ width:81.37%;height:55.17%'><span style='font-size:64%'>so that the meaning of
+ the vertices is retained</span></span></div>
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26632"
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+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26633"
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+ width:6.74%;height:.5%'><![endif]><v:line id="_x0000_s26634" style='position:absolute;
+  flip:y' from="51.625pt,434pt" to="51.625pt,460.5pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26634"
+ src="slide0023_image176.gif" style='position:absolute;top:80.25%;left:7.11%;
+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26635" style='position:absolute'
+  from="51.625pt,434pt" to="106.375pt,434pt" o:regroupid="1" strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26635"
+ src="slide0023_image177.gif" style='position:absolute;top:80.25%;left:7.11%;
+ width:8.05%;height:.5%'><![endif]><v:line id="_x0000_s26636" style='position:absolute'
+  from="106.375pt,460.5pt" to="124.625pt,460.5pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26636"
+ src="slide0023_image178.gif" style='position:absolute;top:85.25%;left:14.79%;
+ width:2.99%;height:.5%'><![endif]><v:line id="_x0000_s26637" style='position:absolute;
+  flip:y' from="106.375pt,434pt" to="106.375pt,460.5pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><v:rect id="_x0000_s26638" style='position:absolute;left:47pt;top:403pt;
+  width:54.75pt;height:35.375pt' o:regroupid="1" filled="f" fillcolor="#bbe0e3 [4]"
+  stroked="f" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><v:rect id="_x0000_s26639" style='position:absolute;left:115.5pt;
+  top:403pt;width:54.75pt;height:35.375pt' o:regroupid="1" filled="f"
+  fillcolor="#bbe0e3 [4]" stroked="f" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><![if !vml]><img border=0 v:shapes="_x0000_s26637"
+ src="slide0023_image179.gif" style='position:absolute;top:80.25%;left:14.79%;
+ width:.37%;height:5.5%'><![endif]>
+ <div v:shape="_x0000_s26638" class=B style='position:absolute;top:75.75%;
+ left:7.49%;width:5.8%;height:6.75%'><span style='mso-special-format:nobullet;
+ display:none'>•</span>+</div>
+ <div v:shape="_x0000_s26639" class=B style='position:absolute;top:75.75%;
+ left:17.04%;width:6.36%;height:6.75%'><span style='mso-special-format:nobullet;
+ display:none'>•</span>=&gt;</div>
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+  to="161.125pt,398.625pt" o:regroupid="1" strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26640"
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+  flip:y' from="161.125pt,372pt" to="161.125pt,398.625pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26641"
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+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26642" style='position:absolute'
+  from="161.125pt,398.625pt" to="215.75pt,398.625pt" o:regroupid="1"
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+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26642,_x0000_s26643"
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26644"
+ src="slide0023_image183.gif" style='position:absolute;top:73.75%;left:29.96%;
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26645"
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26646"
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+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26647" style='position:absolute'
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+  <v:shadow color="gray [2]"/>
+ </v:line><v:line id="_x0000_s26648" style='position:absolute' from="234pt,460.5pt"
+  to="247.75pt,460.5pt" o:regroupid="1" strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26647,_x0000_s26648"
+ src="slide0023_image186.gif" style='position:absolute;top:85.25%;left:24.9%;
+ width:9.92%;height:.5%'><![endif]><v:line id="_x0000_s26649" style='position:absolute;
+  flip:y' from="234pt,460.5pt" to="234pt,487.125pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><v:rect id="_x0000_s26650" style='position:absolute;left:179.25pt;
+  top:407.375pt;width:54.75pt;height:35.5pt' o:regroupid="1" filled="f"
+  fillcolor="#bbe0e3 [4]" stroked="f" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><![if !vml]><img border=0 v:shapes="_x0000_s26649"
+ src="slide0023_image187.gif" style='position:absolute;top:85.25%;left:32.39%;
+ width:.37%;height:5.5%'><![endif]>
+ <div v:shape="_x0000_s26650" class=B style='position:absolute;top:76.5%;
+ left:25.84%;width:5.8%;height:6.75%'><span style='mso-special-format:nobullet;
+ display:none'>•</span>+</div>
+ <v:line id="_x0000_s26651" style='position:absolute' from="266pt,416.25pt"
+  to="302.5pt,416.25pt" o:regroupid="1" strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26651"
+ src="slide0023_image188.gif" style='position:absolute;top:77.0%;left:36.89%;
+ width:5.43%;height:.5%'><![endif]><v:line id="_x0000_s26652" style='position:absolute;
+  flip:y' from="284.25pt,389.75pt" to="284.25pt,416.25pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26652"
+ src="slide0023_image189.gif" style='position:absolute;top:72.0%;left:39.51%;
+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26653" style='position:absolute'
+  from="302.5pt,416.25pt" to="357.125pt,416.25pt" o:regroupid="1"
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+  <v:shadow color="gray [2]"/>
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26653,_x0000_s26654"
+ src="slide0023_image190.gif" style='position:absolute;top:77.0%;left:41.94%;
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+  flip:y' from="357.125pt,416.25pt" to="357.125pt,442.875pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
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+  top:403pt;width:54.75pt;height:35.375pt' o:regroupid="1" filled="f"
+  fillcolor="#bbe0e3 [4]" stroked="f" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><![if !vml]><img border=0 v:shapes="_x0000_s26655"
+ src="slide0023_image191.gif" style='position:absolute;top:77.0%;left:49.62%;
+ width:.37%;height:5.5%'><![endif]>
+ <div v:shape="_x0000_s26656" class=B style='position:absolute;top:75.75%;
+ left:32.95%;width:6.36%;height:6.75%'><span style='mso-special-format:nobullet;
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26657"
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+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26658" style='position:absolute;
+  flip:y' from="339pt,416.25pt" to="339pt,442.875pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26658"
+ src="slide0023_image193.gif" style='position:absolute;top:77.0%;left:47.0%;
+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26659" style='position:absolute'
+  from="416.5pt,438.375pt" to="434.75pt,438.375pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26659"
+ src="slide0023_image194.gif" style='position:absolute;top:81.0%;left:57.86%;
+ width:2.99%;height:.5%'><![endif]><v:line id="_x0000_s26660" style='position:absolute;
+  flip:y' from="434.75pt,411.875pt" to="434.75pt,438.375pt" o:regroupid="1"
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26660"
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+  from="434.75pt,411.875pt" to="453pt,411.875pt" o:regroupid="1" strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26661"
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+ width:2.99%;height:.5%'><![endif]><v:line id="_x0000_s26662" style='position:absolute'
+  from="507.75pt,438.375pt" to="521.375pt,438.375pt" o:regroupid="1"
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26662"
+ src="slide0023_image197.gif" style='position:absolute;top:81.0%;left:70.41%;
+ width:2.24%;height:.5%'><![endif]><v:line id="_x0000_s26663" style='position:absolute;
+  flip:y' from="507.75pt,411.875pt" to="507.75pt,438.375pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26663"
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+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26664" style='position:absolute;
+  flip:y' from="489.5pt,385.25pt" to="489.5pt,411.875pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26664"
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+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26665" style='position:absolute;
+  flip:x y' from="489.5pt,411.875pt" to="507.75pt,411.875pt" o:regroupid="1"
+  strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
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+  top:398.625pt;width:54.75pt;height:35.375pt' o:regroupid="1" filled="f"
+  fillcolor="#bbe0e3 [4]" stroked="f" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><![if !vml]><img border=0 v:shapes="_x0000_s26665"
+ src="slide0023_image200.gif" style='position:absolute;top:76.25%;left:67.97%;
+ width:2.99%;height:.5%'><![endif]>
+ <div v:shape="_x0000_s26666" class=B style='position:absolute;top:75.0%;
+ left:52.43%;width:6.36%;height:6.75%'><span style='mso-special-format:nobullet;
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+ <v:line id="_x0000_s26667" style='position:absolute;flip:x y' from="453pt,385.25pt"
+  to="489.5pt,385.25pt" o:regroupid="1" strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26667"
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26668"
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+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26670" style='position:absolute'
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+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26670"
+ src="slide0023_image203.gif" style='position:absolute;top:81.5%;left:78.83%;
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+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26671"
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+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26672"
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+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26673"
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+  flip:y' from="659.25pt,414.125pt" to="659.25pt,440.625pt" strokecolor="black [1]">
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s26674"
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+ width:.37%;height:5.5%'><![endif]><v:line id="_x0000_s26676" style='position:absolute;
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+  strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
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+ top:76.5%;left:9.73%;width:100.74%;height:5.25%'><span style='font-size:75%'><span
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+ left:26.77%;width:5.61%;height:3.25%'><span style='mso-special-format:nobullet;
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+ left:26.77%;width:5.61%;height:3.25%'><span style='mso-special-format:nobullet;
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+ <div v:shape="_x0000_s33800" class=B style='position:absolute;top:24.25%;
+ left:76.02%;width:8.23%;height:3.25%'><span style='mso-special-format:nobullet;
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+ left:26.77%;width:5.61%;height:3.25%'><span style='mso-special-format:nobullet;
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+ <div v:shape="_x0000_s33802" class=O style='text-align:center;position:absolute;
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+  <v:fill color2="white [0]"/>
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+ <div v:shape="_x0000_s33803" class=O style='text-align:center;position:absolute;
+ top:38.75%;left:49.43%;width:6.92%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>0,+1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s33804" style='position:absolute;left:6in;top:3in;width:6pt;
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+ <div v:shape="_x0000_s33804" class=O style='text-align:center;position:absolute;
+ top:38.75%;left:57.11%;width:6.74%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>0,-1</b></span><span
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+ <v:oval id="_x0000_s33805" style='position:absolute;left:6in;top:162pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
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+  <v:fill color2="white [0]"/>
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+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s33805"
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+ <div v:shape="_x0000_s33805" class=O style='text-align:center;position:absolute;
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+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
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+  <v:fill color2="white [0]"/>
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+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s33806"
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+ <div v:shape="_x0000_s33806" class=O style='text-align:center;position:absolute;
+ top:23.25%;left:43.82%;width:6.74%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1,0</b></span><span
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+ <v:oval id="_x0000_s33807" style='position:absolute;left:402pt;top:192pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
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+ <div v:shape="_x0000_s33807" class=O style='text-align:center;position:absolute;
+ top:34.25%;left:52.8%;width:6.92%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>+1,0</b></span><span
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+ <v:oval id="_x0000_s33808" style='position:absolute;left:336pt;top:228pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
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+ <div v:shape="_x0000_s33808" class=O style='text-align:center;position:absolute;
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+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1</b></span><span
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+ <div v:shape="_x0000_s37890" class=T style='position:absolute;top:8.0%;
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+ style='position:absolute;top:54.25%;left:10.67%;width:84.45%;height:5.25%'><span
+ style='font-size:75%'>structure&#13;</span></span></div>
+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:59.75%;left:10.67%;width:96.06%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.89%'>•</span></span><span
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+ style='position:absolute;top:64.0%;left:10.67%;width:84.45%;height:5.25%'><span
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+ style='mso-special-format:bullet;position:absolute;left:-3.82%'>•</span></span><span
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+ for </span></span><span style='position:absolute;top:73.5%;left:10.67%;
+ width:84.45%;height:5.25%'><span style='font-size:75%'>the first interval&#13;</span></span></div>
+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
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+ style='mso-special-format:bullet;position:absolute;left:-3.92%'>•</span></span><span
+ style='font-size:75%'>1 xor 1 = false, 0 xor 1 = true, so output a left edge
+ for </span></span><span style='position:absolute;top:83.0%;left:10.67%;
+ width:84.45%;height:5.25%'><span style='font-size:75%'>the second
+ interval&#13;</span></span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:88.5%;left:6.92%;
+ width:88.2%;height:5.25%'><span style='position:absolute;top:0%;left:4.24%;
+ width:95.75%;height:100.0%'><span style='font-size:75%;visibility:hidden'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.43%'>•</span></span><span
+ style='font-size:75%;mso-special-format:lastCR;display:none'>&#13;</span></span></div>
+ </div>
+ <div v:shape="_x0000_s37892" class=B style='position:absolute;top:24.25%;
+ left:76.02%;width:8.23%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:44%'>Output</span></div>
+ <div v:shape="_x0000_s37893" class=B style='position:absolute;top:24.25%;
+ left:76.02%;width:8.23%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:44%'>Output</span></div>
+ <div v:shape="_x0000_s37894" class=O style='text-align:center;position:absolute;
+ top:28.74%;left:49.62%;width:6.74%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>0,-1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37895" style='position:absolute;left:378pt;top:3in;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37895"
+ src="slide0034_image348.gif" style='position:absolute;top:40.0%;left:52.43%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37895" class=O style='text-align:center;position:absolute;
+ top:38.75%;left:49.43%;width:6.92%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>0,+1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37896" style='position:absolute;left:6in;top:3in;width:6pt;
+  height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]"
+  strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37896"
+ src="slide0034_image349.gif" style='position:absolute;top:40.0%;left:59.92%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37896" class=O style='text-align:center;position:absolute;
+ top:38.75%;left:57.11%;width:6.74%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>0,-1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37897" style='position:absolute;left:6in;top:162pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37897"
+ src="slide0034_image350.gif" style='position:absolute;top:30.0%;left:59.92%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37897" class=O style='text-align:center;position:absolute;
+ top:28.74%;left:56.92%;width:6.92%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>0,+1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37898" style='position:absolute;left:336pt;top:132pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37898"
+ src="slide0034_image351.gif" style='position:absolute;top:24.5%;left:46.62%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37898" class=O style='text-align:center;position:absolute;
+ top:23.25%;left:43.82%;width:6.74%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1,0</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37899" style='position:absolute;left:402pt;top:192pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37899"
+ src="slide0034_image352.gif" style='position:absolute;top:35.5%;left:55.8%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37899" class=O style='text-align:center;position:absolute;
+ top:34.25%;left:52.8%;width:6.92%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>+1,0</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37900" style='position:absolute;left:336pt;top:228pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37900"
+ src="slide0034_image353.gif" style='position:absolute;top:42.25%;left:46.62%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37900" class=O style='text-align:center;position:absolute;
+ top:41.0%;left:43.63%;width:6.92%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>+1,0</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37901" style='position:absolute;left:402pt;top:228pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37901"
+ src="slide0034_image354.gif" style='position:absolute;top:42.25%;left:55.8%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37901" class=O style='text-align:center;position:absolute;
+ top:41.0%;left:52.99%;width:6.74%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1,0</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37902" style='position:absolute;left:558pt;top:150pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37902"
+ src="slide0034_image355.gif" style='position:absolute;top:27.75%;left:77.52%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37902" class=O style='text-align:center;position:absolute;
+ top:26.5%;left:75.28%;width:5.61%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37903" style='position:absolute;left:558pt;top:246pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37903"
+ src="slide0034_image356.gif" style='position:absolute;top:45.5%;left:77.52%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37903" class=O style='text-align:center;position:absolute;
+ top:44.25%;left:75.09%;width:5.8%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>+1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:line id="_x0000_s37904" style='position:absolute' from="180pt,108pt" to="180pt,264pt"
+  strokecolor="#9c0">
+  <v:stroke startarrow="diamond" endarrow="diamond"/>
+  <v:shadow color="gray [2]"/>
+ </v:line><v:rect id="_x0000_s37905" style='position:absolute;left:180pt;top:246pt;
+  width:54pt;height:24pt' filled="f" fillcolor="#bbe0e3 [4]" stroked="f"
+  strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><v:line id="_x0000_s37906" style='position:absolute' from="180pt,162pt"
+  to="180pt,228pt" strokecolor="#9c0" strokeweight="1pt">
+  <v:stroke startarrow="diamond" endarrow="diamond"/>
+  <v:shadow color="gray [2]"/>
+ </v:line><v:rect id="_x0000_s37907" style='position:absolute;left:180pt;top:186pt;
+  width:54pt;height:24pt' filled="f" fillcolor="#bbe0e3 [4]" stroked="f"
+  strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><v:rect id="_x0000_s37908" style='position:absolute;left:180pt;top:108pt;
+  width:54pt;height:24pt' filled="f" fillcolor="#bbe0e3 [4]" stroked="f"
+  strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><![if !vml]><img border=0 v:shapes="_x0000_s37904,_x0000_s37906"
+ src="slide0034_image357.gif" style='position:absolute;top:19.25%;left:24.53%;
+ width:1.31%;height:30.5%'><![endif]>
+ <div v:shape="_x0000_s37905" class=B style='position:absolute;top:46.5%;
+ left:26.02%;width:5.61%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:44%'>0,0</span></div>
+ <div v:shape="_x0000_s37907" class=B style='position:absolute;top:35.25%;
+ left:26.02%;width:5.61%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:44%'>0,1</span></div>
+ <div v:shape="_x0000_s37908" class=B style='position:absolute;top:20.75%;
+ left:26.02%;width:5.61%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:44%'>0,0</span></div>
+ <v:oval id="_x0000_s37909" style='position:absolute;left:378pt;top:132pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37909"
+ src="slide0034_image358.gif" style='position:absolute;top:24.5%;left:52.43%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37909" class=O style='text-align:center;position:absolute;
+ top:23.25%;left:49.43%;width:6.92%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>+1,0</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37910" style='position:absolute;left:378pt;top:192pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37910"
+ src="slide0034_image359.gif" style='position:absolute;top:35.5%;left:52.43%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37910" class=O style='text-align:center;position:absolute;
+ top:34.25%;left:49.62%;width:6.74%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1,0</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:line id="_x0000_s37911" style='position:absolute' from="558pt,150pt" to="558pt,252pt"
+  strokecolor="#9c0" strokeweight="1.75pt">
+  <v:stroke startarrow="diamond" endarrow="diamond"/>
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s37911"
+ src="slide0034_image360.gif" style='position:absolute;top:27.0%;left:76.96%;
+ width:1.49%;height:20.75%'><![endif]><v:line id="_x0000_s37912" style='position:absolute'
+  from="402pt,192pt" to="402pt,234pt" strokecolor="#9c0" strokeweight="1.75pt">
+  <v:stroke startarrow="diamond" endarrow="diamond"/>
+  <v:shadow color="gray [2]"/>
+ </v:line><v:rect id="_x0000_s37913" style='position:absolute;left:372pt;top:240pt;
+  width:54pt;height:24pt' filled="f" fillcolor="#bbe0e3 [4]" stroked="f"
+  strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect><![if !vml]><img border=0 v:shapes="_x0000_s37912"
+ src="slide0034_image361.gif" style='position:absolute;top:34.75%;left:55.24%;
+ width:1.49%;height:9.75%'><![endif]>
+ <div v:shape="_x0000_s37913" class=B style='position:absolute;top:45.25%;
+ left:52.62%;width:5.61%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:44%'>-1,0</span></div>
+ <v:oval id="_x0000_s37914" style='position:absolute;left:606pt;top:234pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37914"
+ src="slide0034_image362.gif" style='position:absolute;top:43.25%;left:84.08%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37914" class=O style='text-align:center;position:absolute;
+ top:42.25%;left:81.64%;width:5.8%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>+2</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:oval id="_x0000_s37915" style='position:absolute;left:606pt;top:246pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37915"
+ src="slide0034_image363.gif" style='position:absolute;top:45.5%;left:84.08%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37915" class=O style='text-align:center;position:absolute;
+ top:44.25%;left:81.83%;width:5.61%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:line id="_x0000_s37916" style='position:absolute' from="606pt,240pt" to="606pt,252pt"
+  strokecolor="red" strokeweight="1.75pt">
+  <v:stroke startarrow="diamond" endarrow="diamond"/>
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s37916"
+ src="slide0034_image364.gif" style='position:absolute;top:43.75%;left:83.52%;
+ width:1.49%;height:4.0%'><![endif]><v:oval id="_x0000_s37917" style='position:absolute;
+  left:606pt;top:210pt;width:6pt;height:6pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37917"
+ src="slide0034_image365.gif" style='position:absolute;top:38.75%;left:84.08%;
+ width:1.31%;height:1.75%'><![endif]>
+ <div v:shape="_x0000_s37917" class=O style='text-align:center;position:absolute;
+ top:37.75%;left:81.83%;width:5.61%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:line id="_x0000_s37918" style='position:absolute' from="606pt,210pt" to="606pt,240pt"
+  strokecolor="#9c0" strokeweight="1.75pt">
+  <v:stroke startarrow="diamond" endarrow="diamond"/>
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s37918"
+ src="slide0034_image366.gif" style='position:absolute;top:38.25%;left:83.52%;
+ width:1.49%;height:7.5%'><![endif]><v:oval id="_x0000_s37919" style='position:absolute;
+  left:582pt;top:210pt;width:6pt;height:6pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><v:oval id="_x0000_s37920" style='position:absolute;left:582pt;top:234pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><![if !vml]><img border=0 v:shapes="_x0000_s37919,_x0000_s37920"
+ src="slide0034_image367.gif" style='position:absolute;top:38.75%;left:80.71%;
+ width:1.31%;height:6.0%'><![endif]>
+ <div v:shape="_x0000_s37919" class=O style='text-align:center;position:absolute;
+ top:37.75%;left:78.46%;width:5.8%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>+1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <div v:shape="_x0000_s37920" class=O style='text-align:center;position:absolute;
+ top:42.25%;left:78.65%;width:5.61%;height:4.0%'><b><span
+ style='mso-spacerun:yes'>     </span></b><span style='font-size:44%'><b>-1</b></span><span
+ style='mso-special-format:lastCR;display:none'><b>&#13;</b></span></div>
+ <v:line id="_x0000_s37921" style='position:absolute' from="582pt,210pt" to="582pt,240pt"
+  strokecolor="red" strokeweight="1.75pt">
+  <v:stroke startarrow="diamond" endarrow="diamond"/>
+  <v:shadow color="gray [2]"/>
+ </v:line><![if !vml]><img border=0 v:shapes="_x0000_s37921"
+ src="slide0034_image368.gif" style='position:absolute;top:38.25%;left:80.33%;
+ width:1.49%;height:7.5%'><![endif]><v:oval id="_x0000_s37922" style='position:absolute;
+  left:582pt;top:150pt;width:6pt;height:6pt;mso-wrap-style:none;
+  v-text-anchor:middle' filled="f" fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:oval><v:oval id="_x0000_s37923" style='position:absolute;left:582pt;top:174pt;
+  width:6pt;height:6pt;mso-wrap-style:none;v-text-anchor:middle' filled="f"
+  fillcolor="#bbe0e3 [4]" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
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+ left:5.61%;width:89.13%;height:9.25%'>Generalizing The Algorithm</div>
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+ width:79.96%;height:6.0%'>we’ve tried”&#13;</span></div>
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+ width:91.94%;height:6.75%'>robustness is a very comforting feature&#13;</span></div>
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+ style='position:absolute;top:36.75%;left:9.73%;width:36.89%;height:6.0%'><span
+ style='font-size:88%'>truncation of </span></span><span style='position:absolute;
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+ style='font-size:88%'>Sufficient to check the </span></span><span
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+ style='font-size:88%'>upper right grid for </span></span><span
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0048.xml
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0048.xml	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0048_image460.gif
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0052.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0052.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
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+ style='position:absolute;top:30.5%;left:9.73%;width:84.45%;height:6.0%'><span
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+ style='font-size:88%'><span class=BB style='position:absolute;left:-3.79%'>•</span></span><span
+ style='font-size:88%'>You can check if your point type lies inside your </span></span><span
+ style='position:absolute;top:44.25%;left:9.73%;width:85.95%;height:6.0%'><span
+ style='font-size:88%'>polygon type with a call to GTL contains() </span></span><span
+ style='position:absolute;top:50.5%;left:9.73%;width:84.45%;height:6.0%'><span
+ style='font-size:88%'>passing in your point and your polygon&#13;</span></span>
+ <div style='position:absolute;top:57.99%;left:5.99%;width:88.38%;height:6.0%'><span
+ style='mso-special-format:nobullet;display:none'>•</span><span
+ style='font-size:88%'><span style='mso-tab-count:2;width:11.31%'> </span>gtl::contains(my_polygon,
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+ style='font-size:88%'><span class=BB style='position:absolute;left:-3.72%'>•</span></span><span
+ style='font-size:88%'>This is accomplished by use of a C++ Concepts-</span></span><span
+ style='position:absolute;top:71.75%;left:9.73%;width:84.83%;height:6.0%'><span
+ style='font-size:88%'>based statically polymorphic type system&#13;</span></span><span
+ style='position:absolute;top:79.25%;left:9.73%;width:100.56%;height:6.0%'><span
+ style='font-size:88%'><span class=BB style='position:absolute;left:-3.72%'>•</span></span><span
+ style='font-size:88%'>This is much more convenient than copying your </span></span><span
+ style='position:absolute;top:85.5%;left:9.73%;width:86.7%;height:6.0%'><span
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+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0053.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0053.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
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+<title>GTL  Geometry Template Library</title>
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+<![if !ppt]>
+<style media=print>
+<!--.sld
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+<script src=script.js></script><script><!--
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+ <o:idmap v:ext="edit" data="56"/>
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+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
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+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
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+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>56</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s57346"
+  type="#_x0000_m1026" style='position:absolute;left:36pt;top:21.625pt;width:9in;
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+  <v:stroke o:forcedash="f"/>
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+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
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+ <div v:shape="_x0000_s57346" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>Booleans Operator Syntax</div>
+ <div v:shape="_x0000_s57347" class=B><span style='position:absolute;
+ top:24.5%;left:9.73%;width:91.76%;height:6.75%'><span class=BB
+ style='position:absolute;left:-4.08%'>•</span>GTL overloads the C++ bit-wise
+ logical </span><span style='position:absolute;top:31.5%;left:9.73%;width:102.99%;
+ height:6.75%'>operators &amp;|^ and the subtraction operator -&#13;</span><span
+ style='position:absolute;top:40.0%;left:9.73%;width:101.49%;height:6.75%'><span
+ class=BB style='position:absolute;left:-3.69%'>•</span>They perform Boolean
+ AND, OR, XOR and </span><span style='position:absolute;top:47.25%;left:9.73%;
+ width:87.82%;height:6.75%'>AND-NOT (SUBTRACT)&#13;</span><span
+ style='position:absolute;top:55.75%;left:9.73%;width:97.56%;height:6.75%'><span
+ class=BB style='position:absolute;left:-3.83%'>•</span>They work with any
+ polygons, rectangles, </span><span style='position:absolute;top:62.74%;
+ left:9.73%;width:95.13%;height:6.75%'>vectors or lists of polygons or
+ rectangles </span><span style='position:absolute;top:69.75%;left:9.73%;
+ width:87.82%;height:6.75%'>and the GTL polygon-set data types</span></div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0054.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0054.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,169 @@
+<html xmlns:v="urn:schemas-microsoft-com:vml"
+xmlns:o="urn:schemas-microsoft-com:office:office"
+xmlns:p="urn:schemas-microsoft-com:office:powerpoint"
+xmlns:oa="urn:schemas-microsoft-com:office:activation"
+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
+<link rel=Preview href=preview.wmf>
+<!--[if !mso]>
+<style>
+v\:* {behavior:url(#default#VML);}
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+p\:* {behavior:url(#default#VML);}
+.shape {behavior:url(#default#VML);}
+v\:textbox {display:none;}
+</style>
+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: C++ Traits">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
+	{left:0px !important;
+	width:6.0in !important;
+	height:4.5in !important;
+	font-size:107% !important;}
+-->
+</style>
+<script src=script.js></script><script><!--
+if( !IsNts() ) Redirect( "PPTSld" );
+//--></script><!--[if vml]><script>g_vml = 1;
+</script><![endif]--><![endif]><o:shapelayout v:ext="edit">
+ <o:idmap v:ext="edit" data="57"/>
+</o:shapelayout>
+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
+onclick="DocumentOnClick()" onresize="_RSW()" onload="LoadSld()"
+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
+width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%, 101%, 101%, 0%);
+visibility:hidden'><p:slide coordsize="720,540"
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
+  href="master03.xml#_x0000_s1030"/>
+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>51</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s58370"
+  type="#_x0000_m1026" style='position:absolute;left:36pt;top:21.625pt;width:9in;
+  height:90pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="title"/></v:shape><p:shaperange
+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s58371" type="#_x0000_m1027"
+  style='position:absolute;left:34.25pt;top:103.375pt;width:9in;height:179.5pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
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+ </v:rect>
+ <div v:shape="_x0000_s58370" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>C++ Traits</div>
+ <div v:shape="_x0000_s58371" class=B>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:19.75%;left:9.55%;width:100.93%;height:6.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>•</span></span><span
+ style='font-size:88%'>GTL accesses your geometry types through type </span></span><span
+ style='position:absolute;top:25.25%;left:9.55%;width:84.45%;height:6.0%'><span
+ style='font-size:88%'>traits that you must provide&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:32.0%;left:9.55%;width:87.45%;height:6.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.28%'>•</span></span><span
+ style='font-size:88%'>These traits map your implementation of a </span></span><span
+ style='position:absolute;top:37.75%;left:9.55%;width:100.18%;height:6.0%'><span
+ style='font-size:88%'>geometry object to GTL’s concept of how a such </span></span><span
+ style='position:absolute;top:43.25%;left:9.55%;width:84.45%;height:6.0%'><span
+ style='font-size:88%'>geometry behaves</span></span></div>
+ </div>
+ <div v:shape="_x0000_s58372" class=B>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:50.5%;left:6.74%;
+ width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>template &lt;typename T&gt;&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:53.5%;left:6.74%;
+ width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>struct point_traits {&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:56.75%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>typedef T::coordinate_type coordinate_type;&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:59.75%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>coordinate_type get(const T&amp; p,
+ orientation_2d orient) { &#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:62.74%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'><span style='mso-spacerun:yes'>  </span>return
+ p.get(orient);&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:66.0%;left:6.74%;
+ width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>}&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:69.0%;left:6.74%;
+ width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>template &lt;typename T&gt;&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:72.25%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>struct point_mutable_traits {&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:75.25%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'><span style='mso-spacerun:yes'>  </span>void
+ set(const T&amp; p, orientation_2d orient, &#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:78.25%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'><span style='mso-spacerun:yes'>          
+ </span>coordinate_type value) {&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:81.5%;left:6.74%;
+ width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'><span style='mso-spacerun:yes'>   
+ </span>p.set(orient, value);&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:84.5%;left:6.74%;
+ width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'><span style='mso-spacerun:yes'>  </span>}&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:87.75%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'><span style='mso-spacerun:yes'>  </span>T
+ construct(coordinate_type x, coordinate_type y) { &#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:90.75%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
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+ T(x, y); }&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:93.75%;
+ left:6.74%;width:88.57%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>};</span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0055.htm
==============================================================================
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+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: C++ Concepts Overloading">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
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+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
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+  href="master03.xml#_x0000_s1028"/><p:shaperange
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+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
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+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
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+  style='position:absolute;left:36pt;top:126pt;width:9in;height:210.25pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
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+  <v:path gradientshapeok="t" o:connecttype="rect"/>
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+  left:21.75pt;top:335.25pt;width:367.5pt;height:190.875pt;
+  mso-position-horizontal-relative:char;mso-position-vertical-relative:line'
+  stroked="f">
+  <v:textbox style='mso-next-textbox:#_x0000_s59396'/>
+ </v:shape><v:rect id="_x0000_s59397" style='position:absolute;left:370.875pt;
+  top:353.5pt;width:335.75pt;height:167.625pt' filled="f" fillcolor="#bbe0e3 [4]"
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+  <v:fill color2="white [0]"/>
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+ <div v:shape="_x0000_s59394" class=T style='position:absolute;top:8.0%;
+ left:5.8%;width:88.76%;height:9.25%'>C++ Concepts Overloading</div>
+ <div v:shape="_x0000_s59395" class=B>
+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:23.5%;left:9.73%;width:97.75%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.83%'>•</span></span><span
+ style='font-size:75%'>GTL functions that expect a polygon check whether the </span></span><span
+ style='position:absolute;top:27.75%;left:9.73%;width:94.38%;height:5.25%'><span
+ style='font-size:75%'>input data type is registered as a polygon and will not </span></span><span
+ style='position:absolute;top:32.0%;left:9.73%;width:84.45%;height:5.25%'><span
+ style='font-size:75%'>instantiate if the check fails&#13;</span></span></div>
+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:37.25%;left:9.73%;width:84.45%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.43%'>•</span></span><span
+ style='font-size:75%'>A different gtl function with the same name can </span></span><span
+ style='position:absolute;top:41.5%;left:9.73%;width:100.0%;height:5.25%'><span
+ style='font-size:75%'>instantiate if the data type turns out to be registered
+ as a </span></span><span style='position:absolute;top:45.75%;left:9.73%;
+ width:84.45%;height:5.25%'><span style='font-size:75%'>rectangle, or a
+ point&#13;</span></span></div>
+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:51.0%;left:9.73%;width:89.7%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.17%'>•</span></span><span
+ style='font-size:75%'>The mechanism for doing this is called substitution </span></span><span
+ style='position:absolute;top:55.25%;left:9.73%;width:84.45%;height:5.25%'><span
+ style='font-size:75%'>failure is not an error (SFINAE)</span></span></div>
+ </div>
+ <div v:shape="_x0000_s59396" class=O>
+ <div style='position:absolute;top:62.74%;left:4.11%;width:52.05%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>template &lt;typename T&gt;
+ struct is_integer {};&#13;</span></div>
+ <div style='position:absolute;top:65.5%;left:4.11%;width:49.25%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>template &lt;&gt; &#13;</span></div>
+ <div style='position:absolute;top:68.25%;left:4.11%;width:54.49%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>struct
+ is_integer&lt;int&gt; { typedef int type; };&#13;</span></div>
+ <div style='position:absolute;top:70.75%;left:4.11%;width:49.81%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>template &lt;typename T&gt;
+ struct is_float {};&#13;</span></div>
+ <div style='position:absolute;top:73.5%;left:4.11%;width:49.25%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>template &lt;&gt; &#13;</span></div>
+ <div style='position:absolute;top:76.25%;left:4.11%;width:56.92%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>struct
+ is_float&lt;float&gt; { typedef float type; };&#13;</span></div>
+ <div style='position:absolute;top:78.75%;left:4.11%;width:49.25%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%;display:none'>&#13;</span></div>
+ <div style='position:absolute;top:81.5%;left:4.11%;width:49.25%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>template &lt;typename
+ T&gt;&#13;</span></div>
+ <div style='position:absolute;top:84.25%;left:4.11%;width:49.25%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>typename
+ is_int&lt;T&gt;::type foo(T input);&#13;</span></div>
+ <div style='position:absolute;top:86.75%;left:4.11%;width:49.25%;height:2.75%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>template &lt;typename
+ T&gt;&#13;</span></div>
+ <div style='position:absolute;top:89.25%;left:4.11%;width:49.25%;height:3.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New";font-size:67%'>typename
+ is_float&lt;T&gt;::type foo(T input);</span><span style='font-size:67%;
+ mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <div v:shape="_x0000_s59397" class=B>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:65.5%;left:52.43%;
+ width:47.37%;height:5.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:75%'>foo() would be
+ ambiguous,&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:71.0%;left:52.43%;
+ width:50.0%;height:5.25%'><span style='mso-special-format:nobullet;display:
+ none'>•</span><span style='font-size:75%'>but both return types cannot&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:76.25%;
+ left:52.43%;width:52.05%;height:5.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:75%'>be instantiated with the
+ same&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:81.5%;left:52.43%;
+ width:47.19%;height:5.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:75%'>type.<span
+ style='mso-spacerun:yes'>  </span>Failure to instantiate&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:86.75%;
+ left:52.43%;width:52.62%;height:5.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:75%'>the return type is not a
+ syntax&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:92.25%;
+ left:52.43%;width:44.75%;height:5.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:75%'>error.</span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0055_image464.gif
==============================================================================
Binary file. No diff available.

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0058.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0058.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
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+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
+<link rel=Preview href=preview.wmf>
+<!--[if !mso]>
+<style>
+v\:* {behavior:url(#default#VML);}
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+v\:textbox {display:none;}
+</style>
+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: Concept Refinement">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
+	{left:0px !important;
+	width:6.0in !important;
+	height:4.5in !important;
+	font-size:107% !important;}
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+</style>
+<script src=script.js></script><script><!--
+if( !IsNts() ) Redirect( "PPTSld" );
+//--></script><!--[if vml]><script>g_vml = 1;
+</script><![endif]--><![endif]><o:shapelayout v:ext="edit">
+ <o:idmap v:ext="edit" data="61"/>
+</o:shapelayout>
+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
+onclick="DocumentOnClick()" onresize="_RSW()" onload="LoadSld()"
+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
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+visibility:hidden'><p:slide coordsize="720,540"
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
+  href="master03.xml#_x0000_s1030"/>
+ <div v:shape="_x0000_s1030" class=O>
+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
+ width:21.53%;height:3.25%'><span style='font-size:78%;mso-field-code:meta16'>53</span><span
+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s62466"
+  type="#_x0000_m1026" style='position:absolute;left:36pt;top:21.625pt;width:9in;
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+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="title"/></v:shape><p:shaperange
+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s62467" type="#_x0000_m1027"
+  style='position:absolute;left:36pt;top:126pt;width:634.125pt;height:257.5pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="body" position="1"/></v:shape><v:rect id="_x0000_s62468"
+  style='position:absolute;left:45.375pt;top:376.5pt;width:634.125pt;height:126.5pt'
+  filled="f" fillcolor="#bbe0e3 [4]" stroked="f" strokecolor="black [1]">
+  <v:fill color2="white [0]"/>
+  <v:shadow color="gray [2]"/>
+ </v:rect>
+ <div v:shape="_x0000_s62466" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>Concept Refinement</div>
+ <div v:shape="_x0000_s62467">
+ <div class=B style='mso-line-spacing:"90 20 0";position:absolute;top:23.75%;
+ left:5.99%;width:100.74%;height:5.25%'><span style='position:absolute;
+ top:0%;left:3.71%;width:96.28%;height:100.0%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.86%'>•</span></span><span
+ style='font-size:75%'>A rectangle is a refinement of the concept of a
+ polygon&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:29.5%;left:14.04%;width:85.39%;height:4.5%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.5%'>–</span></span><span
+ style='font-size:71%'>A rectangle narrows-down the definition of polygon to
+ four </span></span><span style='position:absolute;top:33.5%;left:14.04%;
+ width:78.08%;height:4.5%'><span style='font-size:71%'>sided, 90-degree
+ angles&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:38.5%;left:9.73%;width:95.5%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.92%'>•</span></span><span
+ style='font-size:75%'>A function that requires read only access to a polygon </span></span><span
+ style='position:absolute;top:43.5%;left:9.73%;width:82.39%;height:5.25%'><span
+ style='font-size:75%'>can always work on a rectangle&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:49.0%;
+ left:11.04%;width:81.27%;height:4.5%'><span style='position:absolute;
+ top:0%;left:3.68%;width:96.08%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.83%'>–</span></span><span
+ style='font-size:71%'><span style='mso-spacerun:yes'> </span>A polygon is a
+ generalization of a rectangle&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:54.0%;left:9.73%;width:87.64%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.27%'>•</span></span><span
+ style='font-size:75%'>A function that requires write-access to a polygon </span></span><span
+ style='position:absolute;top:59.0%;left:9.73%;width:82.39%;height:5.25%'><span
+ style='font-size:75%'>cannot work on a rectangle&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:64.75%;
+ left:11.04%;width:81.27%;height:4.5%'><span style='position:absolute;
+ top:0%;left:3.68%;width:96.08%;height:100.0%'><span style='font-size:71%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.83%'>–</span></span><span
+ style='font-size:71%'>A rectangle cannot store a polygon</span></span></div>
+ </div>
+ <div v:shape="_x0000_s62468" class=B>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:70.0%;left:7.3%;
+ width:86.14%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>struct polygon_concept {};&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:73.25%;
+ left:7.3%;width:86.14%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>struct rectangle_concept {};&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:76.25%;
+ left:7.3%;width:86.14%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>template &lt;typename T&gt;&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:79.25%;
+ left:7.3%;width:86.14%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:44%'>struct is_a_polygon_concept{};&#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:82.5%;left:7.3%;
+ width:86.14%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
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+ is_a_polygon_concept&lt;rectangle_concept&gt; { &#13;</span></div>
+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:85.5%;left:7.3%;
+ width:86.14%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-family:"Courier New";mso-ascii-font-family:
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+ gtl_yes type; };</span></div>
+ </div>
+</p:slide></div>
+
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0059.htm
==============================================================================
--- (empty file)
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+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: GTL Refinement Relationships">
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+  href="master03.xml#_x0000_s1028"/><p:shaperange
+  href="master03.xml#_x0000_s1029"/><p:shaperange
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+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
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+ <div v:shape="_x0000_s63490" class=T style='position:absolute;top:8.0%;
+ left:0%;width:100.18%;height:9.25%'>GTL Refinement Relationships</div>
+ <div v:shape="_x0000_s63491">
+ <div class=B style='mso-line-spacing:"90 20 0";position:absolute;top:23.75%;
+ left:3.93%;width:55.61%;height:6.0%'><span style='position:absolute;
+ top:0%;left:6.73%;width:93.26%;height:100.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-7.22%'>•</span></span><span
+ style='font-size:88%'>GTL assign() function&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:30.5%;left:12.17%;width:55.24%;height:5.25%'><span style='font-size:86%'><span
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+ style='position:absolute;top:35.25%;left:12.17%;width:47.37%;height:5.25%'><span
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+ <div class=B1 style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
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+ style='mso-special-format:bullet;position:absolute;left:-5.98%'>–</span></span><span
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+ style='position:absolute;top:46.0%;left:12.17%;width:52.05%;height:5.25%'><span
+ style='font-size:86%'>to a more general conceptual </span></span><span
+ style='position:absolute;top:50.74%;left:12.17%;width:47.37%;height:5.25%'><span
+ style='font-size:86%'>type&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
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+ style='mso-special-format:bullet;position:absolute;left:-6.04%'>–</span></span><span
+ style='font-size:86%'>instantiates for each of the 49 </span></span><span
+ style='position:absolute;top:61.5%;left:12.17%;width:47.37%;height:5.25%'><span
+ style='font-size:86%'>legal combinations&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
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+ 0;position:absolute;top:69.75%;left:82.77%;width:7.49%;height:2.0%'><span
+ style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
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+ <div class=Tbl1 style='mso-margin-left-alt:288'></div>
+ <div class=Tbl2 style='mso-margin-left-alt:576'></div>
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+ style='font-size:64%;mso-special-format:lastCR;display:none'>&#13;</span></div>
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+ 0;position:absolute;top:59.75%;left:82.77%;width:7.49%;height:2.0%'><span
+ style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
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+ <div v:shape="_x0000_s69634" class=T style='position:absolute;top:8.5%;
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+ <div v:shape="_x0000_s69635">
+ <div class=B><span style='position:absolute;top:41.25%;left:9.73%;width:97.94%;
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+ all edges which contain the x value of </span><span style='position:absolute;
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+ interval&#13;</span></div>
+ <div class=B1><span style='position:absolute;top:56.75%;left:14.04%;
+ width:92.13%;height:6.0%'><span class=B1B style='position:absolute;left:-3.25%'>–</span>Accumulate
+ the sum of such edges the point </span><span style='position:absolute;
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+ <div class=B style='position:absolute;top:70.75%;left:5.99%;width:88.2%;
+ height:6.75%'><span style='position:absolute;top:0%;left:4.24%;width:95.75%;
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+ </div>
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+ left:48.5%;width:2.24%;height:3.25%'><span style='mso-special-format:nobullet;
+ display:none'>•</span><span style='font-size:44%'>b</span></div>
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+ left:45.88%;width:2.24%;height:3.25%'><span style='mso-special-format:nobullet;
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+ <div v:shape="_x0000_s69641" class=B style='position:absolute;top:28.99%;
+ left:54.11%;width:7.11%;height:3.25%'><span style='mso-special-format:nobullet;
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+
+</body>
+
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+ GTL </span></span><span style='position:absolute;top:52.0%;left:4.68%;
+ width:90.26%;height:5.25%'><span style='font-size:75%'>algorithms&#13;</span></span></div>
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+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:62.5%;left:.93%;
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+ style='font-size:75%'>, XOR that with </span><span style='font-family:"Courier New";
+ mso-ascii-font-family:"Courier New";font-size:75%'>a</span><span
+ style='font-size:75%'> shrunk by </span></span><span style='position:absolute;
+ top:71.75%;left:4.68%;width:90.26%;height:5.5%'><span style='font-size:75%'>ten
+ then merge into </span><span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New";font-size:75%'>result&#13;</span></span></div>
+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:77.5%;left:4.68%;width:105.61%;height:5.25%'><span style='font-size:75%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.54%'>•</span></span><span
+ style='font-size:75%'>Details of memory management for intermediate results
+ are </span></span><span style='position:absolute;top:81.75%;left:4.68%;
+ width:90.26%;height:5.25%'><span style='font-size:75%'>abstracted away from
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+ width:94.0%;height:5.25%'><span style='position:absolute;top:0%;left:3.98%;
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+ style='mso-special-format:bullet;position:absolute;left:-4.14%'>•</span></span><span
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+ <div style='text-align:justify;position:absolute;top:18.5%;left:19.47%;
+ width:47.94%;height:4.0%'><nobr><span style='font-family:"Courier New";
+ mso-ascii-font-family:"Courier New";mso-hansi-font-family:"Courier New"'>void
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+ <div style='text-align:justify;position:absolute;top:22.5%;left:19.47%;
+ width:49.43%;height:4.0%'><nobr><span style='font-family:"Courier New";
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+ <div style='text-align:justify;position:absolute;top:26.5%;left:19.47%;
+ width:52.43%;height:4.0%'><nobr><span style='font-family:"Courier New";
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+ {&#13;</span></nobr></div>
+ <div style='text-align:justify;position:absolute;top:30.5%;left:19.47%;
+ width:41.94%;height:4.0%'><nobr><span style='font-family:"Courier New";
+ mso-ascii-font-family:"Courier New";mso-hansi-font-family:"Courier New"'><span
+ style='mso-spacerun:yes'>  </span>CBoundingBox domainExtent;&#13;</span></nobr></div>
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+ width:47.94%;height:4.0%'><nobr><span style='font-family:"Courier New";
+ mso-ascii-font-family:"Courier New";mso-hansi-font-family:"Courier New"'><span
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+ <div style='text-align:justify;position:absolute;top:38.5%;left:19.47%;
+ width:62.92%;height:4.0%'><nobr><span style='font-family:"Courier New";
+ mso-ascii-font-family:"Courier New";mso-hansi-font-family:"Courier New"'><span
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+ <div style='text-align:justify;position:absolute;top:42.25%;left:19.47%;
+ width:1.68%;height:4.25%'><nobr><span style='font-family:"Courier New";
+ mso-ascii-font-family:"Courier New";mso-hansi-font-family:"Courier New"'>}</span><span
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+</p:slide></div>
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+
+</html>

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+
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+ <div v:shape="_x0000_s75778" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>Using Booleans</div>
+ <div v:shape="_x0000_s75779" class=B>
+ <div style='mso-line-spacing:"90 20 0";position:absolute;top:44.5%;left:5.99%;
+ width:88.38%;height:6.75%'><span style='position:absolute;top:0%;left:4.23%;
+ width:95.76%;height:100.0%'><span style='mso-special-format:bullet;position:
+ absolute;left:-4.42%'>•</span>Productive operator syntax&#13;</span></div>
+ <div style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:52.0%;left:9.73%;width:92.5%;height:7.5%'><span style='mso-special-format:
+ bullet;position:absolute;left:-4.04%'>•</span>Clip polygon <span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New"'>a</span>
+ against bounding box <span style='font-family:"Courier New";mso-ascii-font-family:
+ "Courier New"'>c</span>, </span><span style='position:absolute;top:58.25%;
+ left:9.73%;width:98.12%;height:7.5%'>then subtract polygon <span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New"'>b</span>,
+ storing the result </span><span style='position:absolute;top:64.75%;
+ left:9.73%;width:84.64%;height:7.5%'>in polygon set <span style='font-family:
+ "Courier New";mso-ascii-font-family:"Courier New"'>d&#13;</span></span></div>
+ <div style='mso-line-spacing:"90 20 0";position:absolute;top:73.0%;left:5.99%;
+ width:88.38%;height:6.75%'><span style='position:absolute;top:0%;left:4.23%;
+ width:95.76%;height:100.0%'><span style='mso-special-format:bullet;position:
+ absolute;left:-4.42%'>•</span>Takes longer to say than to type&#13;</span></div>
+ <div style='mso-line-spacing:"90 20 0";position:absolute;top:80.75%;
+ left:5.99%;width:103.37%;height:6.75%'><span style='position:absolute;
+ top:0%;left:3.62%;width:96.37%;height:100.0%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.75%'>•</span>No try/catch and no memory
+ management</span></div>
+ </div>
+ <div v:shape="_x0000_s75780" class=O>
+ <div style='position:absolute;top:21.5%;left:9.36%;width:72.84%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'>void clip_and_subtract(polygon_set&amp;
+ d,&#13;</span></div>
+ <div style='position:absolute;top:25.5%;left:9.36%;width:84.45%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'><span style='mso-spacerun:yes'>          
+ </span>polygon a, polygon b, rectangle c) {&#13;</span></div>
+ <div style='position:absolute;top:29.5%;left:9.36%;width:72.84%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'><span style='mso-spacerun:yes'>  </span>d
+ = (a &amp; c) - b;&#13;</span></div>
+ <div style='position:absolute;top:33.25%;left:9.36%;width:72.84%;height:4.25%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'>}</span><span style='mso-special-format:
+ lastCR;display:none'>&#13;</span></div>
+ </div>
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+
+</body>
+
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+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: Introduction">
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+ <div v:shape="_x0000_s76802" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>Introduction</div>
+ <div v:shape="_x0000_s76803">
+ <div class=B style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:16.5%;left:7.49%;width:105.05%;height:3.5%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.56%'>•</span></span><span
+ style='font-size:50%'>Implemented goofy template argument inheritance type
+ system and Manhattan geometry </span></span><span style='position:absolute;
+ top:19.5%;left:7.49%;width:90.07%;height:3.5%'><span style='font-size:50%'>features&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:23.0%;
+ left:3.74%;width:93.82%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.99%;width:96.0%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.15%'>•</span></span><span
+ style='font-size:50%'>Request for interest from boost in 2007&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:26.5%;
+ left:8.61%;width:88.95%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>–</span></span><span
+ style='font-size:50%'>Discussed the design on boost dev list&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:29.75%;
+ left:8.61%;width:88.95%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>–</span></span><span
+ style='font-size:50%'>Found out the design was bad and needed to be redone the
+ boost way&#13;</span></span></div>
+ <div class=B2 style='mso-line-spacing:"80 20 0";position:absolute;top:32.75%;
+ left:13.67%;width:83.89%;height:2.75%'><span style='position:absolute;
+ top:0%;left:2.9%;width:97.09%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-2.98%'>•</span></span><span
+ style='font-size:50%'>Thank you Joel Guzman&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:35.5%;
+ left:3.74%;width:93.82%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.99%;width:96.0%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.15%'>•</span></span><span
+ style='font-size:50%'>Added 45 degree geometry features&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:39.0%;
+ left:3.74%;width:102.8%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.64%;width:96.35%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.78%'>•</span></span><span
+ style='font-size:50%'>After six months of work we got permission from Intel to
+ release under boost license&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:42.5%;
+ left:8.61%;width:88.95%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>–</span></span><span
+ style='font-size:50%'>Discussed the code on the boost dev list&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:45.75%;
+ left:8.61%;width:88.95%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>–</span></span><span
+ style='font-size:50%'>Got a lot of feedback on specific design
+ considerations&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:48.75%;
+ left:3.74%;width:93.82%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.99%;width:96.0%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.15%'>•</span></span><span
+ style='font-size:50%'>Rewrote the interfaces to be more generic by using tag
+ dispatching&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:52.25%;
+ left:8.61%;width:88.95%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>–</span></span><span
+ style='font-size:50%'>Got more feedback on design considerations from boost,
+ especially refinement&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:55.5%;
+ left:3.74%;width:93.82%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.99%;width:96.0%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.15%'>•</span></span><span
+ style='font-size:50%'>Re-rewrote the interfaces to be more generic still and
+ based on SFINAE&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:59.0%;
+ left:3.74%;width:93.82%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.99%;width:96.0%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.15%'>•</span></span><span
+ style='font-size:50%'>Added arbitrary-angle geometry features&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:62.5%;
+ left:8.61%;width:91.19%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.49%;width:96.5%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.61%'>–</span></span><span
+ style='font-size:50%'>Got feedback on arbitrary-angle algorithms and
+ robustness considerations from boost&#13;</span></span></div>
+ <div class=B2 style='mso-line-spacing:"80 20 0";position:absolute;top:65.5%;
+ left:13.67%;width:83.89%;height:2.75%'><span style='position:absolute;
+ top:0%;left:2.9%;width:97.09%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-2.98%'>•</span></span><span
+ style='font-size:50%'>Thank you Fernando Cacciola&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:68.25%;
+ left:3.74%;width:93.82%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.99%;width:96.0%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.15%'>•</span></span><span
+ style='font-size:50%'>Ported new SFINAE interfaces to MSVC9&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:71.75%;
+ left:8.61%;width:88.95%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>–</span></span><span
+ style='font-size:50%'>Thank you Steven Watanabe&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:75.0%;
+ left:3.74%;width:93.82%;height:3.5%'><span style='position:absolute;
+ top:0%;left:3.99%;width:96.0%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.15%'>•</span></span><span
+ style='font-size:50%'>The library now looks more like Joel said it should back
+ in 2007&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:78.5%;
+ left:8.61%;width:88.95%;height:3.25%'><span style='position:absolute;
+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.71%'>–</span></span><span
+ style='font-size:50%'>We may pursue formal review this year&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:81.75%;left:7.49%;width:101.87%;height:3.5%'><span style='font-size:50%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.67%'>•</span></span><span
+ style='font-size:50%'>Deployed library to internal users who are using it now
+ to create the next generation of </span></span><span style='position:absolute;
+ top:84.5%;left:7.49%;width:90.07%;height:3.5%'><span style='font-size:50%'>silicon
+ fabrication process technology and microprocessors</span></span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
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+ <div v:shape="_x0000_s77826" class=T style='position:absolute;top:8.0%;
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+ style='position:absolute;top:23.75%;left:4.68%;width:106.55%;height:6.0%'><span
+ style='font-size:88%'>template definition when instantiating a template on </span></span><span
+ style='position:absolute;top:30.0%;left:4.68%;width:94.38%;height:6.0%'><span
+ style='font-size:88%'>that type&#13;</span></span><span style='position:absolute;
+ top:37.5%;left:4.68%;width:97.37%;height:6.0%'><span style='font-size:88%'><span
+ class=BB style='position:absolute;left:-3.84%'>•</span></span><span
+ style='font-size:88%'>STL uses unnamed enum types with arithmetic </span></span><span
+ style='position:absolute;top:43.75%;left:4.68%;width:94.38%;height:6.0%'><span
+ style='font-size:88%'>operators&#13;</span></span><span style='position:absolute;
+ top:51.24%;left:4.68%;width:109.17%;height:6.0%'><span style='font-size:88%'><span
+ class=BB style='position:absolute;left:-3.43%'>•</span></span><span
+ style='font-size:88%'>Substituion of my generic operators for the unnamed </span></span><span
+ style='position:absolute;top:57.49%;left:4.68%;width:94.38%;height:6.0%'><span
+ style='font-size:88%'>STL enum types should fail&#13;</span></span><span
+ style='position:absolute;top:65.0%;left:4.68%;width:107.3%;height:6.0%'><span
+ style='font-size:88%'><span class=BB style='position:absolute;left:-3.49%'>•</span></span><span
+ style='font-size:88%'>A bug in older versions of EDG frontend produces a </span></span><span
+ style='position:absolute;top:71.0%;left:4.68%;width:95.31%;height:6.0%'><span
+ style='font-size:88%'>syntax error instead of SFINAE if the template </span></span><span
+ style='position:absolute;top:77.25%;left:4.68%;width:94.38%;height:6.0%'><span
+ style='font-size:88%'>references it in the definition&#13;</span></span><span
+ style='position:absolute;top:84.75%;left:4.68%;width:111.42%;height:6.0%'><span
+ style='font-size:88%'><span class=BB style='position:absolute;left:-3.36%'>•</span></span><span
+ style='font-size:88%'>Currently fixed in the version of EGD used by the new </span></span><span
+ style='position:absolute;top:91.0%;left:4.68%;width:94.38%;height:6.0%'><span
+ style='font-size:88%'>icc11</span></span></div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0070.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0070.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
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+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
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+<!--[if !mso]>
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+v\:textbox {display:none;}
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+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: MSVC SFINAE limitation">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
+	{left:0px !important;
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+<script src=script.js></script><script><!--
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+</script><![endif]--><![endif]><o:shapelayout v:ext="edit">
+ <o:idmap v:ext="edit" data="77"/>
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+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
+onclick="DocumentOnClick()" onresize="_RSW()" onload="LoadSld()"
+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
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+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"
+ masterhref="master03.xml">
+ <p:shaperange href="master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
+  href="master03.xml#_x0000_s1028"/><p:shaperange
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+ <div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
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+ style='font-size:78%;mso-special-format:lastCR;display:none'>&#13;</span></div>
+ </div>
+ <![endif]><p:shaperange href="master03.xml#_x0000_m1026"/><v:shape id="_x0000_s78850"
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+  <o:lock v:ext="edit" text="f"/>
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+ <div v:shape="_x0000_s78850" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>MSVC SFINAE limitation</div>
+ <div v:shape="_x0000_s78851">
+ <div class=B style='mso-line-spacing:"90 20 0";position:absolute;top:18.75%;
+ left:3.18%;width:109.92%;height:6.75%'><span style='position:absolute;
+ top:0%;left:3.4%;width:96.59%;height:100.0%'><span style='mso-special-format:
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+ simple cases&#13;</span></div>
+ <div class=B style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:26.75%;left:6.92%;width:94.0%;height:6.75%'><span style='mso-special-format:
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+ <div class=B1 style='mso-line-spacing:"90 20 0";position:absolute;top:40.75%;
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+ top:0%;left:3.57%;width:96.42%;height:100.0%'><span style='mso-special-format:
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+ type&#13;</span></div>
+ <div class=B style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:47.75%;left:6.92%;width:106.36%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.52%'>•</span>Substitution failure of a nested
+ template is an </span><span style='position:absolute;top:54.0%;left:6.92%;
+ width:90.26%;height:6.75%'>error in MSVC&#13;</span></div>
+ <div class=B style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:62.0%;left:6.92%;width:107.67%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.47%'>•</span>The only way to get reliable
+ SFINAE behavior </span><span style='position:absolute;top:68.25%;left:6.92%;
+ width:105.61%;height:6.75%'>out of MSVC is to use enable_if with compile </span><span
+ style='position:absolute;top:74.75%;left:6.92%;width:90.26%;height:6.75%'>time
+ logic expressions&#13;</span></div>
+ <div class=B style='mso-line-spacing:"90 20 0"'><span style='position:absolute;
+ top:82.5%;left:6.92%;width:98.12%;height:6.75%'><span style='mso-special-format:
+ bullet;position:absolute;left:-3.81%'>•</span>It took two weeks of work to
+ port the code </span><span style='position:absolute;top:88.75%;left:6.92%;
+ width:90.26%;height:6.75%'>from EDG/gcc compatibility to MSVC</span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0071.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0071.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
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+<html xmlns:v="urn:schemas-microsoft-com:vml"
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+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
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+v\:* {behavior:url(#default#VML);}
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+.shape {behavior:url(#default#VML);}
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+</style>
+<![endif]-->
+<title>GTL  Geometry Template Library</title>
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+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
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+<script src=script.js></script><script><!--
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+
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+onkeypress="_KPH()">
+
+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
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+  <v:stroke o:forcedash="f"/>
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+ <div v:shape="_x0000_s79874" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>EDG Bug Workaround</div>
+ <div v:shape="_x0000_s79875" class=B>
+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:23.25%;left:9.73%;width:94.0%;height:6.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.98%'>•</span></span><span
+ style='font-size:88%'>If substitution of a nested template parameter </span></span><span
+ style='position:absolute;top:28.24%;left:9.73%;width:99.43%;height:6.0%'><span
+ style='font-size:88%'>fails before EDG tries to instantiate the template </span></span><span
+ style='position:absolute;top:33.25%;left:9.73%;width:95.88%;height:6.0%'><span
+ style='font-size:88%'>that would refer to the unnamed enum type no </span></span><span
+ style='position:absolute;top:38.25%;left:9.73%;width:84.45%;height:6.0%'><span
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+ <div style='mso-line-spacing:"80 20 0";position:absolute;top:44.5%;left:5.99%;
+ width:88.57%;height:6.0%'><span style='position:absolute;top:0%;left:4.22%;
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+ style='mso-special-format:bullet;position:absolute;left:-4.41%'>•</span></span><span
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+ <div style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
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+ style='mso-special-format:bullet;position:absolute;left:-4.12%'>•</span></span><span
+ style='font-size:88%'>I provide an intermediate meta-function with </span></span><span
+ style='position:absolute;top:55.75%;left:9.73%;width:99.25%;height:6.0%'><span
+ style='font-size:88%'>preprocessor macros in its definition that results </span></span><span
+ style='position:absolute;top:60.75%;left:9.73%;width:91.01%;height:6.0%'><span
+ style='font-size:88%'>in nested SFINAE except when compiled by </span></span><span
+ style='position:absolute;top:65.75%;left:9.73%;width:84.45%;height:6.0%'><span
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+ <div style='position:absolute;top:73.0%;left:5.43%;width:93.82%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'>template &lt;typename T&gt; struct gtl_if
+ {&#13;</span></div>
+ <div style='position:absolute;top:77.0%;left:5.43%;width:93.82%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'>#ifdef WIN32&#13;</span></div>
+ <div style='position:absolute;top:81.0%;left:5.43%;width:93.82%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'><span style='mso-spacerun:yes'> 
+ </span>typedef gtl_no type;&#13;</span></div>
+ <div style='position:absolute;top:85.0%;left:5.43%;width:93.82%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'>#endif&#13;</span></div>
+ <div style='position:absolute;top:89.0%;left:5.43%;width:93.82%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'>};&#13;</span></div>
+ <div style='position:absolute;top:93.0%;left:5.43%;width:109.55%;height:4.0%'><span
+ style='font-family:"Courier New";mso-ascii-font-family:"Courier New";
+ mso-hansi-font-family:"Courier New"'>template &lt;&gt; struct
+ gtl_if&lt;gtl_yes&gt; { typedef gtl_yes type; };</span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0071_image471.gif
==============================================================================
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Added: trunk/libs/polygon/doc/GTL_boostcon_draft03_files/slide0073.htm
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+xmlns="http://www.w3.org/TR/REC-html40">
+
+<head>
+<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
+<meta name=ProgId content=PowerPoint.Slide>
+<meta name=Generator content="Microsoft PowerPoint 11">
+<link id=Main-File rel=Main-File href="../GTL_boostcon_draft03.htm">
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+<![endif]-->
+<title>GTL  Geometry Template Library</title>
+<meta name=Description content="5/15/2009: Overview">
+<link rel=Stylesheet href="master03_stylesheet.css">
+<![if !ppt]>
+<style media=print>
+<!--.sld
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+<script src=script.js></script><script><!--
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+ <o:idmap v:ext="edit" data="81"/>
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+</head>
+
+<body lang=EN-US style='margin:0px;background-color:black'
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+onkeypress="_KPH()">
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+<div id=SlideObj class=sld style='position:absolute;top:0px;left:0px;
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+  href="master03.xml#_x0000_m1027"/><v:shape id="_x0000_s82947" type="#_x0000_m1027"
+  style='position:absolute;left:36pt;top:126pt;width:9in;height:399.125pt'>
+  <v:fill o:detectmouseclick="f"/>
+  <v:stroke o:forcedash="f"/>
+  <o:lock v:ext="edit" text="f"/>
+  <p:placeholder type="body" position="1"/></v:shape>
+ <div v:shape="_x0000_s82946" class=T style='position:absolute;top:8.0%;
+ left:5.99%;width:88.2%;height:9.25%'>Overview</div>
+ <div v:shape="_x0000_s82947">
+ <div class=B style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:23.25%;left:9.73%;width:99.06%;height:6.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.78%'>•</span></span><span
+ style='font-size:88%'>Intel badly needed high performance algorithms </span></span><span
+ style='position:absolute;top:28.24%;left:9.73%;width:84.45%;height:6.0%'><span
+ style='font-size:88%'>for planar polygon manipulation&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:34.5%;
+ left:11.04%;width:83.14%;height:5.25%'><span style='position:absolute;
+ top:0%;left:3.6%;width:96.17%;height:100.0%'><span style='font-size:86%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.74%'>–</span></span><span
+ style='font-size:86%'>I implemented them&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:39.75%;
+ left:5.99%;width:88.2%;height:6.0%'><span style='position:absolute;top:0%;
+ left:4.24%;width:95.75%;height:100.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.43%'>•</span></span><span
+ style='font-size:88%'>We have 2D Cartesian geometry&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:46.0%;left:14.04%;width:84.45%;height:5.25%'><span style='font-size:86%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.54%'>–</span></span><span
+ style='font-size:86%'>Coordinate, Interval, Point, Rectangle, Polygon, </span></span><span
+ style='position:absolute;top:50.24%;left:14.04%;width:79.96%;height:5.25%'><span
+ style='font-size:86%'>Polygon Set&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:55.5%;
+ left:11.04%;width:83.14%;height:5.25%'><span style='position:absolute;
+ top:0%;left:3.6%;width:96.17%;height:100.0%'><span style='font-size:86%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.74%'>–</span></span><span
+ style='font-size:86%'>Library of concepts for each&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:61.0%;left:9.73%;width:84.45%;height:6.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.43%'>•</span></span><span
+ style='font-size:88%'>Many generic functions that operate on </span></span><span
+ style='position:absolute;top:66.0%;left:9.73%;width:84.45%;height:6.0%'><span
+ style='font-size:88%'>conceptual types&#13;</span></span></div>
+ <div class=B1 style='mso-line-spacing:"80 20 0";position:absolute;top:72.0%;
+ left:11.04%;width:94.94%;height:5.25%'><span style='position:absolute;
+ top:0%;left:3.15%;width:96.64%;height:100.0%'><span style='font-size:86%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.26%'>–</span></span><span
+ style='font-size:86%'>API strives for symmetry, consistency and
+ simplicity&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0"'><span style='position:absolute;
+ top:77.5%;left:9.73%;width:97.94%;height:6.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-3.82%'>•</span></span><span
+ style='font-size:88%'>Some pretty heavy weight algorithms under the </span></span><span
+ style='position:absolute;top:82.5%;left:9.73%;width:84.45%;height:6.0%'><span
+ style='font-size:88%'>hood&#13;</span></span></div>
+ <div class=B style='mso-line-spacing:"80 20 0";position:absolute;top:88.75%;
+ left:5.99%;width:88.2%;height:6.0%'><span style='position:absolute;top:0%;
+ left:4.24%;width:95.75%;height:100.0%'><span style='font-size:88%'><span
+ style='mso-special-format:bullet;position:absolute;left:-4.43%'>•</span></span><span
+ style='font-size:88%'>3 man years and 30kloc</span></span></div>
+ </div>
+</p:slide></div>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/analysis.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/analysis.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,167 @@
+<!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" xml:lang="en" lang="en"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Performance Analysis</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+			<li><a href="gtl_design_overview.htm">Polygon 
+			Library Design Overview</a></li>
+			<li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+            <li>
+			Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon Set Algorithms Analysis</h1> 
+<p>Most non-trivial algorithms in the Boost.Polygon library are 
+instantiations of generic sweep-line algorithms that provide the capability to 
+perform Manhattan and 45-degree line segment intersection, n-layer map overlay, 
+connectivity graph extraction and clipping/Booleans.&nbsp; These algorithms have O(n log n) 
+runtime complexity for n equal to input vertices plus intersection vertices.&nbsp; The 
+arbitrary angle line segment intersection algorithm is not implemented as a 
+sweep-line due to complications related to achieving numerical robustness.&nbsp; 
+The general line segment intersection algorithm is implemented as an recursive 
+adaptive heuristic divide and conquer in the y dimension followed by sorting 
+line segments in each subdivision by x coordinates and scanning left to right.&nbsp; 
+By one-dimensional decomposition of the problem space in both x and y the 
+algorithm approximates the optimal O(n log n) Bentley-Ottmann line segment intersection 
+runtime complexity in the common case.&nbsp; Specific examples of inputs that 
+defeat one dimensional decomposition of the problem space can result in 
+pathological quadratic runtime complexity to which the Bentley-Ottmann algorithm 
+is immune.</p>
+<p>Below is shown a log-log plot of runtime versus input size for inputs that 
+increase quadratically in size.&nbsp; The inputs were generated by 
+pseudo-randomly distributing small axis-parallel rectangles within a square area 
+proportional the the number of rectangles specified for each trial.&nbsp; In 
+this way the probability of intersections being produced remains constant as the 
+input size grows.&nbsp; Because intersection vertices are expected to be a 
+constant factor of input vertices we can examine runtime complexity in terms of 
+input vertices.&nbsp; The operation performed was a union (Boolean OR) of the 
+input rectangles by each of the Manhattan, 45-degree and arbitrary angle 
+Booleans algorithms, which are labeled &quot;boolean 90&quot;, &quot;boolean 45&quot; and &quot;boolean&quot;.&nbsp; 
+Also shown in the plot is the performance of the arbitrary angle Booleans 
+algorithm as prior to the addition of divide and conquer recursive subdivision, 
+which was described in the paper 
+presented at
+boostcon 2009.&nbsp; Finally, the 
+time required to sort the input points is shown as a common reference for O(n log n) 
+runtime to put the data into context.</p><img border="0" src="images/perf_graph.PNG" width="391" height="414"><p>
+We can see in the log-log plot that sorting and the three Booleans algorithms 
+provided by the Boost.Polygon library have nearly 45 degree &quot;linear&quot; 
+scaling with empirical exponents just slightly larger than 1.0 and can be 
+observed to scale proportional to O(n log n) for 
+these inputs.&nbsp; The &quot;old boolean&quot; algorithm presented at boostcon 2009 
+exhibits scaling close to the expected O(n<sup><font size="2">1.5</font></sup>) 
+scaling.&nbsp; Because the speedup provided by the divide and conquer approach 
+is algorithmic, the 10X potential performance improvement alluded to in the paper is 
+realized at inputs of 200,000 rectangles and larger.&nbsp; Even for small inputs 
+of 2K rectangles the algorithm is 2X faster and now can be expected to be 
+roughly as fast as GPC at small scales, 
+while algorithmically faster at large scales.</p>
+<p>
+
+
+From the plot we can compare the constant factor performance of the various 
+Booleans algorithms with the runtime of std::sort as a baseline for O(n log n) 
+algorithms.&nbsp; If you consider sort to be one unit of O(n log n) algorithmic 
+work we can see that Manhattan Booleans cost roughly five units of O(n log n) 
+work, 45-degree&nbsp; Booleans cost roughly
+
+
+</body>ten units of O(n log n) work and arbitrary angle Booleans cost roughly 
+seventy units of O(n log n) work.&nbsp; Sorting the input vertices is the first 
+step in a Booleans algorithm and therefore provides a hard lower bound for the 
+runtime of an optimal Booleans algorithm.<p>
+
+
+One final thing to note about performance of the arbitrary angle Booleans 
+algorithm is that the use of GMP
+ infinite precision rational data type for numerically robust 
+computations can be employed by including boost/polygon/gmp_override.hpp and linking 
+to lgmpxx and lgmp.&nbsp; This provides 
+100% assurance that the algorithm will succeed and produce an output snapped to 
+the integer grid with a minimum of one integer grid of error on polygon 
+boundaries upon which intersection points are introduced.&nbsp; However, the 
+infinite precision data type is never used for predicates (see the boostcon 
+presentation or paper for description of robust predicates) and is only used for 
+constructions of intersection coordinate values in the very rare case that long 
+double computation of the intersection of two line segments fails to produce an 
+intersection point within one integer unit of both line segments.&nbsp; This 
+means that there is effectively no runtime penalty for the use of infinite 
+precision to ensure 100% robustness.&nbsp; Most inputs will process through the 
+algorithm without ever resorting to GMP.<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_connectivity_extraction.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_connectivity_extraction.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,142 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Connectivity Extraction 45</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Connectivity Extraction</h1>
+
+<p> 
+<p>The connectivity extraction algorithm constructs the connectivity graph where 
+input polygon sets are modeled as graph nodes and assigned node ids and 
+overlap/touching between input polygon sets is modeled as graph edges.&nbsp; One 
+supported graph formats is std::vector&lt;std::set&lt;int&gt; &gt; where node ids index into 
+the vector and the sets of integers at each index are the ids of nodes for which 
+an edge exists in the graph.&nbsp; It is required that such vector pre-allocate 
+sufficient elements to store the graph generated by the algorithm, because only 
+the operator[] is used internally to access the graph&nbsp;&nbsp; The other 
+supported graph format is std::map&lt;int, std::set&lt;int&gt; &gt; which is slightly easier to 
+work with, but potentially more expensive.&nbsp; Improving the interface to 
+support more generic graph concepts is deferred to future work.<p>The following 
+is the declaration of the connectivity extraction algorithm.<p>
+<font face="Courier New">template &lt;typename coordinate_type&gt;<br>
+class connectivity_extraction;</font><p>
+Example code connectivity_extraction_usage.cpp 
+		demonstrates using the connectivity extraction algorithm to build a 
+connectivity graph on geometry.<h2>Member Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><b><font face="Courier New">connectivity_extraction</font></b><font face="Courier New">()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">connectivity_extraction</font></b><font face="Courier New">(<br>&nbsp;&nbsp;&nbsp;&nbsp; const 
+		connectivity_extraction&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <br><b>insert</b>(const polygon_set_data&lt;coordinate_type&gt;&amp; ps)</font></td>
+		<td>I<font face="Times New Roman">nsert a polygon set graph node, the 
+		value returned is the id of the graph node.</font></td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GeoObjT&gt;<br>
+unsigned int <b>insert</b>(const GeoObjT&amp; geoObj)</font></td>
+		<td>Insert a geometry object that is a refinement of polygon set as a 
+		graph node, the return value is the id of the graph node.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GraphT&gt;<br>
+void <b>extract</b>(GraphT&amp; graph)</font></td>
+		<td>Accepts a graph object that conforms to the expectations defined 
+		above.&nbsp; Performs connectivity extraction and populates the graph 
+		object.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_connectivity_extraction_45.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_connectivity_extraction_45.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,142 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Connectivity Extraction 45</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Connectivity Extraction 45</h1>
+
+<p> 
+<p>The connectivity extraction algorithm constructs the connectivity graph where 
+input polygon sets are modeled as graph nodes and assigned node ids and 
+overlap/touching between input polygon sets is modeled as graph edges.&nbsp; One 
+supported graph formats is std::vector&lt;std::set&lt;int&gt; &gt; where node ids index into 
+the vector and the sets of integers at each index are the ids of nodes for which 
+an edge exists in the graph.&nbsp; It is required that such vector pre-allocate 
+sufficient elements to store the graph generated by the algorithm, because only 
+the operator[] is used internally to access the graph&nbsp;&nbsp; The other 
+supported graph format is std::map&lt;int, std::set&lt;int&gt; &gt; which is slightly easier to 
+work with, but potentially more expensive.&nbsp; Improving the interface to 
+support more generic graph concepts is deferred to future work.<p>The following 
+is the declaration of the connectivity extraction algorithm.<p>
+<font face="Courier New">template &lt;typename coordinate_type&gt;<br>
+class connectivity_extraction_45;</font><p>
+Example code connectivity_extraction_usage.cpp 
+		demonstrates using the connectivity extraction algorithm to build a 
+connectivity graph on geometry.<h2>Member Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><b><font face="Courier New">connectivity_extraction_45</font></b><font face="Courier New">()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">connectivity_extraction_45</font></b><font face="Courier New">(<br>&nbsp;&nbsp;&nbsp;&nbsp; const 
+		connectivity_extraction_45&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <br><b>insert</b>(const polygon_45_set_data&lt;coordinate_type&gt;&amp; ps)</font></td>
+		<td>I<font face="Times New Roman">nsert a polygon set graph node, the 
+		value returned is the id of the graph node.</font></td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GeoObjT&gt;<br>
+unsigned int <b>insert</b>(const GeoObjT&amp; geoObj)</font></td>
+		<td>Insert a geometry object that is a refinement of polygon 45 set as a 
+		graph node, the return value is the id of the graph node.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GraphT&gt;<br>
+void <b>extract</b>(GraphT&amp; graph)</font></td>
+		<td>Accepts a graph object that conforms to the expectations defined 
+		above.&nbsp; Performs connectivity extraction and populates the graph 
+		object.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_connectivity_extraction_90.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_connectivity_extraction_90.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,142 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Connectivity Extraction 90</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Connectivity Extraction 90</h1>
+
+<p> 
+<p>The connectivity extraction algorithm constructs the connectivity graph where 
+input polygon sets are modeled as graph nodes and assigned node ids and 
+overlap/touching between input polygon sets is modeled as graph edges.&nbsp; One 
+supported graph formats is std::vector&lt;std::set&lt;int&gt; &gt; where node ids index into 
+the vector and the sets of integers at each index are the ids of nodes for which 
+an edge exists in the graph.&nbsp; It is required that such vector pre-allocate 
+sufficient elements to store the graph generated by the algorithm, because only 
+the operator[] is used internally to access the graph&nbsp;&nbsp; The other 
+supported graph format is std::map&lt;int, std::set&lt;int&gt; &gt; which is slightly easier to 
+work with, but potentially more expensive.&nbsp; Improving the interface to 
+support more generic graph concepts is deferred to future work.<p>The following 
+is the declaration of the connectivity extraction algorithm.<p>
+<font face="Courier New">template &lt;typename coordinate_type&gt;<br>
+class connectivity_extraction_90;</font><p>
+Example code connectivity_extraction_usage.cpp 
+		demonstrates using the connectivity extraction algorithm to build a 
+connectivity graph on geometry.<h2>Member Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><b><font face="Courier New">connectivity_extraction_90</font></b><font face="Courier New">()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">connectivity_extraction_90</font></b><font face="Courier New">(<br>&nbsp;&nbsp;&nbsp;&nbsp; const 
+		connectivity_extraction_90&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <br><b>insert</b>(const polygon_90_set_data&lt;coordinate_type&gt;&amp; ps)</font></td>
+		<td>I<font face="Times New Roman">nsert a polygon set graph node, the 
+		value returned is the id of the graph node.</font></td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GeoObjT&gt;<br>
+unsigned int <b>insert</b>(const GeoObjT&amp; geoObj)</font></td>
+		<td>Insert a geometry object that is a refinement of polygon 90 set as a 
+		graph node, the return value is the id of the graph node.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GraphT&gt;<br>
+void <b>extract</b>(GraphT&amp; graph)</font></td>
+		<td>Accepts a graph object that conforms to the expectations defined 
+		above.&nbsp; Performs connectivity extraction and populates the graph 
+		object.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_connectivity_extraction_usage.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_connectivity_extraction_usage.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,93 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Connectivity Extraction Usage</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;cassert&gt;<br>
+namespace gtl = boost::polygon;<br>
+<br>
+//This function works with both the 90 and 45 versions<br>
+//of connectivity extraction algroithm<br>
+template &lt;typename ce_type&gt;<br>
+void test_ce() {<br>
+&nbsp; //first we create an object to do the connectivity extraction<br>
+&nbsp; ce_type ce;<br>
+<br>
+&nbsp; //create some test data<br>
+&nbsp; std::vector&lt;gtl::rectangle_data&lt;int&gt; &gt; test_data;<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(10, 10, 90, 90));<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(0, 0, 20, 20));<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(80, 0, 100, 20));<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(0, 80, 20, 100));<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(80, 80, 100, 100));<br>
+&nbsp; //There is one big square and four little squares covering each<br>
+&nbsp; //of its corners.<br>
+<br>
+&nbsp; for(unsigned int i = 0; i &lt; test_data.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; //insert returns an id starting at zero and incrementing<br>
+&nbsp;&nbsp;&nbsp; //with each call<br>
+&nbsp;&nbsp;&nbsp; assert(ce.insert(test_data[i]) == i);<br>
+&nbsp; }<br>
+&nbsp; //notice that ids returned by ce.insert happen to match<br>
+&nbsp; //index into vector of inputs in this case<br>
+<br>
+&nbsp; //make sure the vector graph has elements for our nodes<br>
+&nbsp; std::vector&lt;std::set&lt;int&gt; &gt; graph(test_data.size());<br>
+<br>
+&nbsp; //populate the graph with edge data<br>
+&nbsp; ce.extract(graph);<br>
+<br>
+&nbsp; //make a map type graph to compare results<br>
+&nbsp; std::map&lt;int, std::set&lt;int&gt; &gt; map_graph;<br>
+&nbsp; ce.extract(map_graph);<br>
+<br>
+&nbsp; assert(map_graph.size() &amp;&amp; map_graph.size() == graph.size());<br>
+&nbsp; for(unsigned int i = 0; i &lt; graph.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; assert(graph[i] == map_graph[i]);<br>
+&nbsp;&nbsp;&nbsp; if(i == 0)<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; assert(graph[i].size() == 4); //four little 
+squares<br>
+&nbsp;&nbsp;&nbsp; else<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; assert(graph[i].size() == 1); //each little 
+toches the big square<br>
+&nbsp; }<br>
+}<br>
+<br>
+int main() {<br>
+&nbsp; test_ce&lt;gtl::connectivity_extraction_90&lt;int&gt; &gt;();<br>
+&nbsp; test_ce&lt;gtl::connectivity_extraction_45&lt;int&gt; &gt;();<br>
+&nbsp; return 0;<br>
+}<br>
+<br>
+//Now you know how to use the connectivity extraction algorithm<br>
+//to extract the connectivity graph for overlapping geometry<br>
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_coordinate_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_coordinate_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,144 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Coordinate Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+			<li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Coordinate Concept</h1>
+
+<p> 
+The coordinate concept tag is <font face="Courier New">
+coordinate_concept</font><p> 
+To register a user defined type as a model of coordinate concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below 
+CCoordinate is registered as a model of coordinate concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CCoordinate&gt; { typedef coordinate_concept type; };</font><p> 
+The coordinate type is expected to be integral and built-in numerical data types 
+such as float and int already have concept type traits specializations in the 
+library.&nbsp; In the coordinate traits are type definitions for related types 
+are provided to allow the library to choose the best type to cast to under 
+various circumstances.&nbsp; The definition of coordinate_traits and its 
+specialization for int are shown below.<p> 
+<font face="Courier New">template &lt;typename T&gt;<br>
+struct coordinate_traits {};<br>
+<br>
+template &lt;&gt;<br>
+struct coordinate_traits&lt;int&gt; {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef long double area_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef long long manhattan_area_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef unsigned long long unsigned_area_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef long long coordinate_difference;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef long double coordinate_distance;<br>
+};</font><p> 
+By making use of the coordinate traits of int the library is able to avoid 
+overflow and handle the normal issues encountered when programming integer 
+geometry.&nbsp; For the out of the ordinary issues there is a special 
+meta-function that provides the library with a numerical type suitable for exact 
+numerical calculations.&nbsp; It defaults to the highest precision data type 
+available in most compilers, long double, but can be overridden by specializing 
+for a particular coordinate type.&nbsp; Use of gmp multi-precision rational or 
+similar data type is recommended for numerically robust calculations in the 
+general polygon algorithms.<p> 
+<font face="Courier New">template &lt;typename T&gt;<br>
+struct high_precision_type {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef long double type;<br>
+};</font><p> 
+There is only one generic function on coordinate concepts, Euclidean distance.<p> 
+<font face="Courier New">template &lt;typename coordinate_type_1, typename 
+coordinate_type_2&gt;<br>
+coordinate_difference euclidean_distance(coordinate_type_1, coordinate_type_2)</font><p> 
+This function returns the absolution value of the difference between the two 
+coordinates.<p> 
+Note: older versions of the stl define a fully generic distance(T, T) function 
+for computing the difference between two iterators.&nbsp; We were forced to name 
+our distance function euclidean_distance to avoid name collision.<p> 
+The
+<a href="http://www.mentor.com/products/esl/high_level_synthesis/ac_datatypes"> 
+Algorithmic C</a> ac_int&lt;128&gt; is an example of a user defined coordinate data 
+type that satisfies the coordinate concept.&nbsp; In general a data type should 
+define std::numeric_limits and be integer-like.&nbsp; Floating point coordinate 
+types are not supported by all the algorithms and generally not suitable for use 
+with the library at present.<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_custom_point.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_custom_point.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,161 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Custom Point</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">/*<br>
+Copyright 2008 Intel Corporation<br>
+<br>
+Use, modification and distribution are subject to the Boost Software License,<br>
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at<br>
+http://www.boost.org/LICENSE_1_0.txt).<br>
+*/<br>
+#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;cassert&gt;<br>
+namespace gtl = boost::polygon;<br>
+using namespace boost::polygon::operators;<br><br>
+//lets make the body of main from point_usage.cpp<br>//a generic function parameterized by point type<br>template &lt;typename Point&gt;<br>void test_point() {<br>&nbsp; 
+&nbsp; //constructing a gtl point<br>&nbsp; &nbsp; 
+int x = 10;<br>&nbsp; &nbsp; 
+int y = 20;<br>&nbsp; &nbsp; 
+//Point pt(x, y);<br>&nbsp; &nbsp; 
+Point pt = gtl::construct&lt;Point&gt;(x, y);<br>&nbsp; &nbsp; 
+assert(gtl::x(pt) == 10);<br>&nbsp; &nbsp; 
+assert(gtl::y(pt) == 20);<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//a quick primer in isotropic point access<br>&nbsp; &nbsp; 
+typedef gtl::orientation_2d O;<br>&nbsp; &nbsp; 
+using gtl::HORIZONTAL;<br>&nbsp; &nbsp; 
+using gtl::VERTICAL;<br>&nbsp; &nbsp; 
+O o = HORIZONTAL;<br>&nbsp; &nbsp; 
+assert(gtl::x(pt) == gtl::get(pt, o));<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+o = o.get_perpendicular();<br>&nbsp; &nbsp; 
+assert(o == VERTICAL);<br>&nbsp; &nbsp; 
+assert(gtl::y(pt) == gtl::get(pt, o));<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+gtl::set(pt, o, 30);<br>&nbsp; &nbsp; 
+assert(gtl::y(pt) == 30);<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//using some of the library functions<br>&nbsp; &nbsp; 
+//Point pt2(10, 30);<br>&nbsp; &nbsp; 
+Point pt2 = gtl::construct&lt;Point&gt;(10, 30);<br>&nbsp; &nbsp; 
+assert(gtl::equivalence(pt, pt2));<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+gtl::transformation&lt;int&gt; tr(gtl::axis_transformation::SWAP_XY);<br>&nbsp; &nbsp; 
+gtl::transform(pt, tr);<br>&nbsp; &nbsp; 
+assert(gtl::equivalence(pt, gtl::construct&lt;Point&gt;(30, 10)));<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+gtl::transformation&lt;int&gt; tr2 = tr.inverse();<br>&nbsp; &nbsp; 
+assert(tr == tr2); //SWAP_XY is its own inverse transform<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+gtl::transform(pt, tr2);<br>&nbsp; &nbsp; 
+assert(gtl::equivalence(pt, pt2)); //the two points are equal again<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+gtl::move(pt, o, 10); //move pt 10 units in y<br>&nbsp; &nbsp; 
+assert(gtl::euclidean_distance(pt, pt2) == 10.0f);<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+gtl::move(pt, o.get_perpendicular(), 10); //move pt 10 units in x<br>&nbsp; &nbsp; 
+assert(gtl::manhattan_distance(pt, pt2) == 20);<br>}<br>&nbsp; &nbsp; 
+<br>//Now lets declare our own point type<br>//Bjarne says that if a class doesn't maintain an<br>//invariant just use a struct.<br>struct CPoint {<br>&nbsp; &nbsp; 
+int x;<br>&nbsp; &nbsp; 
+int y;<br>};<br>&nbsp; &nbsp; 
+<br>//There, nice a simple...but wait, it doesn't do anything<br>//how do we use it to do all the things a point needs to do?<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+<br>//First we register it as a point with boost polygon<br>namespace boost { 
+namespace polygon {<br>&nbsp;&nbsp;&nbsp; 
+template &lt;&gt;<br>&nbsp; &nbsp; 
+struct geometry_concept&lt;CPoint&gt; { typedef point_concept type; };<br>&nbsp;<br>&nbsp; &nbsp; 
+<br>&nbsp;&nbsp;&nbsp; //Then we specialize the gtl point traits for our point type<br>&nbsp; &nbsp; 
+template &lt;&gt;<br>&nbsp; &nbsp; 
+struct point_traits&lt;CPoint&gt; {<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+typedef int coordinate_type;<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+static inline coordinate_type get(const CPoint&amp; point, <br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+orientation_2d orient) {<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+if(orient == HORIZONTAL)<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+return point.x;<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+return point.y;<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+}<br>&nbsp; &nbsp; 
+};<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+template &lt;&gt;<br>&nbsp; &nbsp; 
+struct point_mutable_traits&lt;CPoint&gt; {<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+static inline void set(CPoint&amp; point, orientation_2d orient, int value) {<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+if(orient == HORIZONTAL)<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+point.x = value;<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+else<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+point.y = value;<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+}<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+static inline CPoint construct(int x_value, int y_value) {<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+CPoint retval;<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+retval.x = x_value;<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+retval.y = y_value; <br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+return retval;<br>&nbsp; &nbsp; 
+&nbsp; &nbsp; 
+}<br>&nbsp; &nbsp; 
+};<br>} }<br>&nbsp; &nbsp; 
+<br>//Now lets see if the CPoint works with the library functions<br>int main() {<br>&nbsp; &nbsp; 
+test_point&lt;CPoint&gt;(); //yay! All your testing is done for you.<br>&nbsp; &nbsp; 
+return 0;<br>}<br>&nbsp; &nbsp; 
+<br>//Now you know how to map a user type to the library point concept<br>//and how to write a generic function parameterized by point type<br>//using the library interfaces to access it.<br>&nbsp; &nbsp; 
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_custom_polygon.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_custom_polygon.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,179 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Custom Polygon</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">/*<br>
+Copyright 2008 Intel Corporation<br>
+<br>
+Use, modification and distribution are subject to the Boost Software License,<br>
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at<br>
+http://www.boost.org/LICENSE_1_0.txt).<br>
+*/<br>
+#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;cassert&gt;<br>
+#include &lt;list&gt;<br>
+namespace gtl = boost::polygon;<br>
+using namespace boost::polygon::operators;<br><br>
+//first lets turn our polygon usage code into a generic<br>
+//function parameterized by polygon type<br>
+template &lt;typename Polygon&gt;<br>
+void test_polygon() {<br>
+&nbsp; //lets construct a 10x10 rectangle shaped polygon<br>
+&nbsp; typedef typename gtl::polygon_traits&lt;Polygon&gt;::point_type Point;<br>
+&nbsp; Point pts[] = {gtl::construct&lt;Point&gt;(0, 0),<br>
+&nbsp; gtl::construct&lt;Point&gt;(10, 0),<br>
+&nbsp; gtl::construct&lt;Point&gt;(10, 10),<br>
+&nbsp; gtl::construct&lt;Point&gt;(0, 10) };<br>
+&nbsp; Polygon poly;<br>
+&nbsp; gtl::set_points(poly, pts, pts+4);<br>
+<br>
+&nbsp; //now lets see what we can do with this polygon<br>
+&nbsp; assert(gtl::area(poly) == 100.0f);<br>
+&nbsp; assert(gtl::contains(poly, gtl::construct&lt;Point&gt;(5, 5)));<br>
+&nbsp; assert(!gtl::contains(poly, gtl::construct&lt;Point&gt;(15, 5)));<br>
+&nbsp; gtl::rectangle_data&lt;int&gt; rect;<br>
+&nbsp; assert(gtl::extents(rect, poly)); //get bounding box of poly<br>
+&nbsp; assert(gtl::equivalence(rect, poly)); //hey, that's slick<br>
+&nbsp; assert(gtl::winding(poly) == gtl::COUNTERCLOCKWISE);<br>
+&nbsp; assert(gtl::perimeter(poly) == 40.0f);<br>
+<br>
+&nbsp; //add 5 to all coords of poly<br>
+&nbsp; gtl::convolve(poly, gtl::construct&lt;Point&gt;(5, 5));<br>
+&nbsp; //multiply all coords of poly by 2<br>
+&nbsp; gtl::scale_up(poly, 2);<br>
+&nbsp; gtl::set_points(rect, gtl::point_data&lt;int&gt;(10, 10),<br>
+&nbsp; gtl::point_data&lt;int&gt;(30, 30));<br>
+&nbsp; assert(gtl::equivalence(poly, rect));<br>
+}<br>
+<br>
+//Now lets declare our own polygon class<br>
+//Oops, we need a point class to support our polygon, lets borrow<br>
+//the CPoint example<br>
+struct CPoint {<br>
+&nbsp; int x;<br>
+&nbsp; int y;<br>
+};<br>
+<br>
+//we have to get CPoint working with boost polygon to make our polygon<br>
+//that uses CPoint working with boost polygon<br>
+namespace boost { namespace polygon {<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct geometry_concept&lt;CPoint&gt; { typedef point_concept type; };<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct point_traits&lt;CPoint&gt; {<br>
+&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+<br>
+&nbsp;&nbsp;&nbsp; static inline coordinate_type get(const CPoint&amp; point, <br>
+&nbsp;&nbsp;&nbsp; orientation_2d orient) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(orient == HORIZONTAL)<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return point.x;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return point.y;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct point_mutable_traits&lt;CPoint&gt; {<br>
+&nbsp;&nbsp;&nbsp; static inline void set(CPoint&amp; point, orientation_2d orient, 
+int value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(orient == HORIZONTAL)<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; point.x = value;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; else<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; point.y = value;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; static inline CPoint construct(int x_value, int y_value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; CPoint retval;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; retval.x = x_value;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; retval.y = y_value; <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return retval;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+} }<br>
+<br>
+//I'm lazy and use the stl everywhere to avoid writing my own classes<br>
+//my toy polygon is a std::list&lt;CPoint&gt;<br>
+typedef std::list&lt;CPoint&gt; CPolygon;<br>
+<br>
+//we need to specialize our polygon concept mapping in boost polygon<br>
+namespace boost { namespace polygon {<br>
+&nbsp; //first register CPolygon as a polygon_concept type<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct geometry_concept&lt;CPolygon&gt;{ typedef polygon_concept type; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct polygon_traits&lt;CPolygon&gt; {<br>
+&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+&nbsp;&nbsp;&nbsp; typedef CPolygon::const_iterator iterator_type;<br>
+&nbsp;&nbsp;&nbsp; typedef CPoint point_type;<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the begin iterator<br>
+&nbsp;&nbsp;&nbsp; static inline iterator_type begin_points(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the end iterator<br>
+&nbsp;&nbsp;&nbsp; static inline iterator_type end_points(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the number of sides of the polygon<br>
+&nbsp;&nbsp;&nbsp; static inline std::size_t size(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the winding direction of the polygon<br>
+&nbsp;&nbsp;&nbsp; static inline winding_direction winding(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return unknown_winding;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct polygon_mutable_traits&lt;CPolygon&gt; {<br>
+&nbsp;&nbsp;&nbsp; //expects stl style iterators<br>
+&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp; static inline CPolygon&amp; set_points(CPolygon&amp; t, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+iT input_begin, iT input_end) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.clear();<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.insert(t.end(), input_begin, input_end);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp; };<br>
+} }<br>
+<br>
+//now there's nothing left to do but test that our polygon<br>
+//works with library interfaces<br>
+int main() {<br>
+&nbsp; test_polygon&lt;CPolygon&gt;(); //woot!<br>
+&nbsp; return 0;<br>
+}<br>
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_custom_polygon_set.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_custom_polygon_set.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,249 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Custom Polygon Set</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">/*<br>
+Copyright 2008 Intel Corporation<br>
+<br>
+Use, modification and distribution are subject to the Boost Software License,<br>
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at<br>
+http://www.boost.org/LICENSE_1_0.txt).<br>
+*/<br>
+#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;list&gt;<br>
+#include &lt;time.h&gt;<br>
+#include &lt;cassert&gt;<br>
+#include &lt;deque&gt;<br>
+#include &lt;iostream&gt;<br>
+namespace gtl = boost::polygon;<br>
+using namespace boost::polygon::operators;<br><br>
+//once again we make our usage of the library generic<br>
+//and parameterize it on the polygon set type<br>
+template &lt;typename PolygonSet&gt;<br>
+void test_polygon_set() {<br>
+&nbsp; using namespace gtl; <br>
+&nbsp; PolygonSet ps;<br>
+&nbsp; ps += rectangle_data&lt;int&gt;(0, 0, 10, 10);<br>
+&nbsp; PolygonSet ps2;<br>
+&nbsp; ps2 += rectangle_data&lt;int&gt;(5, 5, 15, 15);<br>
+&nbsp; PolygonSet ps3;<br>
+&nbsp; assign(ps3, ps * ps2); <br>
+&nbsp; PolygonSet ps4;<br>
+&nbsp; ps4 += ps + ps2;<br>
+&nbsp; assert(area(ps4) == area(ps) + area(ps2) - area(ps3));<br>
+&nbsp; assert(equivalence((ps + ps2) - (ps * ps2), ps ^ ps2));<br>
+&nbsp; rectangle_data&lt;int&gt; rect;<br>
+&nbsp; assert(extents(rect, ps ^ ps2));<br>
+&nbsp; assert(area(rect) == 225);<br>
+&nbsp; assert(area(rect ^ (ps ^ ps2)) == area(rect) - area(ps ^ ps2)); <br>
+}<br>
+<br>
+//first thing is first, lets include all the code from previous examples<br>
+<br>
+//the CPoint example<br>
+struct CPoint {<br>
+&nbsp; int x;<br>
+&nbsp; int y;<br>
+};<br>
+<br>
+namespace boost { namespace polygon {<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct geometry_concept&lt;CPoint&gt; { typedef point_concept type; };<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct point_traits&lt;CPoint&gt; {<br>
+&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+<br>
+&nbsp;&nbsp;&nbsp; static inline coordinate_type get(const CPoint&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+orientation_2d orient) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(orient == HORIZONTAL)<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return point.x;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return point.y;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct point_mutable_traits&lt;CPoint&gt; {<br>
+&nbsp;&nbsp;&nbsp; static inline void set(CPoint&amp; point, orientation_2d orient, 
+int value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(orient == HORIZONTAL)<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; point.x = value;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; else<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; point.y = value;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; static inline CPoint construct(int x_value, int y_value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; CPoint retval;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; retval.x = x_value;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; retval.y = y_value; <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return retval;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+} }<br>
+<br>
+//the CPolygon example<br>
+typedef std::list&lt;CPoint&gt; CPolygon;<br>
+<br>
+//we need to specialize our polygon concept mapping in boost polygon<br>
+namespace boost { namespace polygon {<br>
+&nbsp; //first register CPolygon as a polygon_concept type<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct geometry_concept&lt;CPolygon&gt;{ typedef polygon_concept type; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct polygon_traits&lt;CPolygon&gt; {<br>
+&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+&nbsp;&nbsp;&nbsp; typedef CPolygon::const_iterator iterator_type;<br>
+&nbsp;&nbsp;&nbsp; typedef CPoint point_type;<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the begin iterator<br>
+&nbsp;&nbsp;&nbsp; static inline iterator_type begin_points(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the end iterator<br>
+&nbsp;&nbsp;&nbsp; static inline iterator_type end_points(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the number of sides of the polygon<br>
+&nbsp;&nbsp;&nbsp; static inline std::size_t size(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; // Get the winding direction of the polygon<br>
+&nbsp;&nbsp;&nbsp; static inline winding_direction winding(const CPolygon&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return unknown_winding;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct polygon_mutable_traits&lt;CPolygon&gt; {<br>
+&nbsp;&nbsp;&nbsp; //expects stl style iterators<br>
+&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp; static inline CPolygon&amp; set_points(CPolygon&amp; t, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+iT input_begin, iT input_end) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.clear();<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; while(input_begin != input_end) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.push_back(CPoint());<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; gtl::assign(t.back(), *input_begin);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ++input_begin;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp; };<br>
+} }<br>
+<br>
+//OK, finally we get to declare our own polygon set type<br>
+typedef std::deque&lt;CPolygon&gt; CPolygonSet;<br>
+<br>
+//deque isn't automatically a polygon set in the library<br>
+//because it is a standard container there is a shortcut<br>
+//for mapping it to polygon set concept, but I'll do it<br>
+//the long way that you would use in the general case.<br>
+namespace boost { namespace polygon {<br>
+&nbsp; //first we register CPolygonSet as a polygon set<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct geometry_concept&lt;CPolygonSet&gt; { typedef polygon_set_concept type; 
+};<br>
+<br>
+&nbsp; //next we map to the concept through traits<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct polygon_set_traits&lt;CPolygonSet&gt; {<br>
+&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+&nbsp;&nbsp;&nbsp; typedef CPolygonSet::const_iterator iterator_type;<br>
+&nbsp;&nbsp;&nbsp; typedef CPolygonSet operator_arg_type;<br>
+<br>
+&nbsp;&nbsp;&nbsp; static inline iterator_type begin(const CPolygonSet&amp; 
+polygon_set) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return polygon_set.begin();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; static inline iterator_type end(const CPolygonSet&amp; 
+polygon_set) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return polygon_set.end();<br>
+&nbsp;&nbsp;&nbsp; }<br>
+<br>
+&nbsp;&nbsp;&nbsp; //don't worry about these, just return false from them<br>
+&nbsp;&nbsp;&nbsp; static inline bool clean(const CPolygonSet&amp; polygon_set) { 
+return false; }<br>
+&nbsp;&nbsp;&nbsp; static inline bool sorted(const CPolygonSet&amp; polygon_set) { 
+return false; }<br>
+&nbsp; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct polygon_set_mutable_traits&lt;CPolygonSet&gt; {<br>
+&nbsp;&nbsp;&nbsp; template &lt;typename input_iterator_type&gt;<br>
+&nbsp;&nbsp;&nbsp; static inline void set(CPolygonSet&amp; polygon_set, 
+input_iterator_type input_begin, input_iterator_type input_end) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; polygon_set.clear();<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //this is kind of cheesy. I am copying the 
+unknown input geometry<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //into my own polygon set and then calling get to 
+populate the<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //deque<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; polygon_set_data&lt;int&gt; ps;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ps.insert(input_begin, input_end);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ps.get(polygon_set);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //if you had your own odd-ball polygon set you 
+would probably have<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //to iterate through each polygon at this point 
+and do something<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //extra<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+} }<br>
+<br>
+int main() {<br>
+&nbsp; long long c1 = clock();<br>
+&nbsp; for(int i = 0; i &lt; 1000; ++i) <br>
+&nbsp;&nbsp;&nbsp; test_polygon_set&lt;CPolygonSet&gt;();<br>
+&nbsp; long long c2 = clock();<br>
+&nbsp; for(int i = 0; i &lt; 1000; ++i) <br>
+&nbsp;&nbsp;&nbsp; test_polygon_set&lt;gtl::polygon_set_data&lt;int&gt; &gt;();<br>
+&nbsp; long long c3 = clock();<br>
+&nbsp; long long diff1 = c2 - c1;<br>
+&nbsp; long long diff2 = c3 - c2;<br>
+&nbsp; if(diff1 &gt; 0 &amp;&amp; diff2)<br>
+&nbsp;&nbsp;&nbsp; std::cout &lt;&lt; &quot;library polygon_set_data is &quot; &lt;&lt; 
+float(diff1)/float(diff2) &lt;&lt; &quot;X faster than custom polygon set deque of CPolygon&quot; 
+&lt;&lt; std::endl;<br>
+&nbsp; else<br>
+&nbsp;&nbsp;&nbsp; std::cout &lt;&lt; &quot;operation was too fast&quot; &lt;&lt; std::endl;<br>
+&nbsp; return 0;<br>
+}</font></p>
+<p><font face="Courier New">//Now you know how to map your own data type to 
+polygon set concept<br>
+//Now you also know how to make your application code that operates on geometry<br>
+//data type agnostic from point through polygon set
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_design_overview.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_design_overview.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,176 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Overview</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+			<li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+            <li>
+			Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon Library Design Overview</h1>
+
+<p> 
+<p>The Polygon library uses C++-Concepts inspired template programming to 
+provide generic library functions overloaded on concept type.&nbsp; There are 
+currently thirteen concepts in the Polygon library type system.&nbsp; A concept 
+object in the Polygon library is just an empty struct similar to a tag that 
+would be used for tag dispatching.&nbsp;&nbsp; These concepts are shown in the 
+refinement diagram below.</p>
+
+
+</body><img border="0" src="images/refinements.png" width="466" height="369"><p>
+The arrows between diagram bubbles show concept refinement relationships.&nbsp; This is 
+similar, but not identical to, inheritance relationships between normal classes.&nbsp; 
+A refinement of a concept narrows down the definition of a more general concept.&nbsp; 
+For example, the rectangle concept is a refinement of a polygon concept because 
+it restricts the polygon to a four sided, axis-parallel, rectilinear figure.&nbsp; A refinement 
+of a concept is always acceptable to an API that expects read only access to a 
+given concept, but never acceptable to an API that expects to write to that 
+concept.&nbsp; There are three types of geometry in the polygon library, the 
+general case, the case restricted to angles that are multiples of 45 degrees, 
+and the Manhattan/rectilinear case where angles are restricted to multiples of 
+90 degrees.&nbsp;&nbsp; The refinement diagram shows that 90 degree concepts are 
+refinements of 45 degree concepts, which are themselves refinements of the 
+general case.&nbsp; This allows the compiler to choose between the three 
+implementations of algorithms to select the best algorithm for the conceptual 
+data types passed to an overload of a function including heterogeneous 
+combinations of 90, 45 and general case geometry.&nbsp; To provide the
+<font face="Courier New">operator&amp;</font> that performs the intersection on any 
+pair of objects from the ten conceptual types related to each other through 
+refinement in the diagraph above fully one hundred distinct combinations of 
+conceptual types are supported by the library, but only three overloads are 
+required to implement the operator (one for 90, one for 45 and one for arbitrary 
+angle version of the intersection operation) because refinement generalizes the 
+implementation of the interface.&nbsp; In this way a fully symmetric, complete 
+and internally consistent API is implemented to provide meaningful and correct 
+behaviors for all combinations of argument types in all APIs where those types 
+make sense.&nbsp; For example, it doesn't make sense to copy data from a polygon 
+into a rectangle, so attempting to do so yields a syntax error, while copying a 
+rectangle into a polygon does make sense.&nbsp; The <font face="Courier New">
+assign()</font> function that is used to copy geometry data between concepts 
+instantiates for the 49 combinations of concepts that make sense, but not for 
+the 51 combinations that are illegal.&nbsp; The syntax error you will see when 
+attempting an illegal assign operation is simple and clear because use of SFINAE 
+by the library to overload generic functions means no matching function is found 
+by the compiler in cases where no overload is provided.</p>
+<p>
+<font face="Courier New">error: no matching function for call to 'assign(rectangle_data&lt;int&gt;&amp;, 
+polygon_data&lt;int&gt;&amp;)'</font></p>
+<p>Associated with each concept is a traits struct that generally must be 
+specialized for a given data type to provide the concept mapping between the 
+interfaces of the data type and the expected behaviors of an object of that type 
+required by the library.&nbsp; The library also provides its own data types for 
+each concept that conform to the default traits definition.&nbsp; These library 
+provided data types are no more than dumb containers that provide access to 
+their data and rely on the generic library functions to enforce invariants and 
+provide useful behaviors specific to their type of geometry that would normally 
+be member functions of the data type in an OO design.&nbsp; The library data 
+types conform to the default traits associated with their related geometry 
+concept and are registered as models of that concept.&nbsp; When a data 
+type has been mapped to a concept through traits it needs to be registered 
+as that conceptual type with the library by 
+specializing the geometry_concept meta-function.&nbsp; Once mapped and 
+registered, a user data type can be used interchangeably with library data types 
+in the generic free functions that are overloaded on concept.<p>Traits for 
+mapping a data type to a concept are broken down into mutable and read only 
+traits.&nbsp; Read only traits are specialized internally to work with any types 
+that are refinements of a concept.&nbsp; The mutable traits are defined only for 
+objects that exactly model the concept.&nbsp; Both read only traits and mutable 
+traits need to be defined for a type to model a concept, but a type can be used 
+without defining the mutable traits as long as no API that needs to modify the 
+object is used with that type.&nbsp; For example, a triangle type could be 
+registered as a polygon_concept and the read only traits but not the mutable 
+traits defined for that triangle type.&nbsp; This would allow the triangle type 
+to be passed into any API that expects a const reference to an object that models 
+polygon.&nbsp; 
+<p>An object that is a model of a given concept can usually be viewed as a model of any of its 
+refinements if it is determined at runtime to conform to the restrictions of 
+those concepts.&nbsp; This concept casting is accomplished through the
+<font face="Courier New">view_as&lt;&gt;()</font> function.&nbsp; For example if 
+an object of conceptual type polygon 90 has four sides it must be a rectangle, 
+and can be viewed as a rectangle with the following syntax:</p>
+<p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_90_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be 
+passed into any interface that expects an object of the conceptual type 
+specified in its template parameter.&nbsp; The exception to this ability to 
+concept cast geometric objects is that polygon set objects cannot be viewed as 
+individual polygons or rectangles.</p> <tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_interval_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_interval_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,524 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Interval Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+			<li>Interval Concept</li>
+            <li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Interval Concept</h1>
+
+<p> 
+<p>The interval concept tag is <font face="Courier New">
+interval_concept</font></p>
+<p> 
+To register a user defined type as a model of interval concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below 
+CInterval is registered as a model of interval&nbsp; concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CInterval&gt; { typedef interval_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of an interval is that it has a low 
+and high coordinate and there is an invariant that low is less than or equal to 
+high.&nbsp; This invariant is enforced by the generic library functions that 
+operate on intervals, and is not expected of the data type itself or the concept 
+mapping of that data type to the interval concept through its traits.&nbsp; In 
+this way a std::pair&lt;int, int&gt;, boost::tuple&lt;int, int&gt; or boost::array&lt;int, 2&gt; 
+could all be made models of interval by simply providing indirect access to their 
+elements through traits.</font><p> 
+<font face="Times New Roman">Below is shown the default interval traits.&nbsp; 
+Specialization of these traits is required for types that don't conform to the 
+default behavior.</font><p> 
+<font face="Courier New">template &lt;typename T&gt;<br>
+struct interval_traits {<br>
+&nbsp; typedef typename T::coordinate_type coordinate_type;<br>
+<br>
+&nbsp; static inline coordinate_type get(const T&amp; interval, direction_1d dir) {<br>
+&nbsp;&nbsp;&nbsp; return interval.get(dir); <br>
+&nbsp; }<br>
+};<br>
+<br>
+template &lt;typename T&gt;<br>
+struct interval_mutable_traits {<br>
+&nbsp; static inline void set(T&amp; interval, direction_1d dir, </font>
+<br> 
+<font face="Courier New">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; typename interval_traits&lt;T&gt;::coordinate_type value) {<br>
+&nbsp;&nbsp;&nbsp;
+interval.set(dir, value); <br>
+&nbsp;
+}<br>
+&nbsp;
+static inline T construct(typename interval_traits&lt;T&gt;::coordinate_type low_value,
+<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+typename interval_traits&lt;T&gt;::coordinate_type high_value) {<br>
+&nbsp;&nbsp;&nbsp;
+return T(low_value, high_value); <br>
+&nbsp;
+}<br>
+};</font><h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_type <b>get</b>(const T&amp; interval, direction_1d)</font></td>
+		<td><font face="Times New Roman">Expects a model of interval.&nbsp; 
+		Returns the low or high coordinate of the interval, depending on the 
+		direction_1d value.</font><font face="Courier New"><br>
+&nbsp;</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coordinate_type&gt;<br>
+		void <b>set</b>(T&amp; interval, direction_1d, coordinate_type)</font></td>
+		<td><font face="Times New Roman">Expects a model of interval.&nbsp;&nbsp; 
+		Sets the low or high coordinate of the interval to the coordinate, 
+		depending on the direction_1d value.&nbsp; If low would be greater than 
+		high after this change then both are set to the input coordinate value.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T <b>construct</b>(coordinate_type low, coordinate_type high)</font></td>
+		<td>Construct an object that is a model of interval given low and high 
+		coordinate values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models interval into left object 
+		that models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		T2&gt;<br>
+		bool <b>equivalence</b>(const T&amp; interval1, const T2&amp; interval2)</font></td>
+		<td>Given two objects that model interval, compares and returns true if 
+		their low and high values are respectively equal to each other.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		bool <b>contains</b>(const T&amp;, coordinate_type, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models interval and a coordinate, returns true 
+		if the interval contains the coordinate.&nbsp; If the consider_touch 
+		flag is true will return true if the coordinate is equal to one of the 
+		interval ends.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>contains</b>(const T1&amp; a, const T2&amp; b, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true) </font></td>
+		<td>Returns true if model of interval a contains both ends of model of 
+		interval b.&nbsp; If the consider_touch flag is true will consider the 
+		end of b contained within a even if it is equal to an end of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		coordinate_type <b>low</b>(const interval_type&amp; interval)</font></td>
+		<td>Returns the low end of an object that models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		coordinate_type <b>high</b>(const interval_type&amp; interval)</font></td>
+		<td>Returns the high end of an object that models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename interval_type&gt;<br>
+		coordinate_type <b>center</b>(const interval_type&amp; interval)</font></td>
+		<td>Returns the center coordinate of an object that models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		void <b>low</b>(interval_type&amp; interval, coordinate_type )</font></td>
+		<td>Sets the low end of the object that models interval to the 
+		coordinate value.&nbsp; If the low end would be set to larger than high 
+		end then both are set to the coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		void <b>high</b>(interval_type&amp; interval, coordinate_type )</font></td>
+		<td>Sets the high end of the object that models interval to the 
+		coordinate value.&nbsp; If the high end would be set to less than low 
+		end then both are set to the coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		coordinate_difference <b>delta</b>(const interval_type&amp; interval)</font></td>
+		<td>Returns the distance from low to high end of an object that models 
+		interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		interval_type&amp; <b>flip</b>(interval_type&amp; interval,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		coordinate_type axis = 0)</font></td>
+		<td>Flips an object that models interval about the axis coordinate.&nbsp; 
+		If no axis is provided the interval is flipped across the the origin.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		interval_type&amp; <b>scale_up</b>(interval_type&amp; interval, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned_area_type factor)</font></td>
+		<td>Multiplies low and high ends of an object that models interval by 
+		unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		interval_type&amp; <b>scale_down</b>(interval_type&amp; interval, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned_area_type factor)</font></td>
+		<td>Divides low and high ends of an object that models interval by 
+		unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		interval_type&amp; <b>scale</b>(interval_type&amp; interval,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		double factor) </font></td>
+		<td>Multiplies low and high ends of an object that models interval by 
+		floating point value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		interval_type&amp; <b>move</b>(interval_type&amp; interval,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to low and high ends of an object that 
+		models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		interval_type&amp; <b>convolve</b>(interval_type&amp; interval,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		coordinate_type b)</font></td>
+		<td>Adds coordinate value to low and high ends of an object that models 
+		interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		interval_type&gt;<br>
+		interval_type&amp; <b>deconvolve</b>(interval_type&amp; interval,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		coordinate_type b)</font></td>
+		<td>Subtracts coordinate value from low and high ends of an object that 
+		models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>convolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Adds low end of b to low end of a and adds high end of b to high end 
+		of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>deconvolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Subtracts low end of b from low end of a and subtracts high end of b 
+		from high end of a. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>reflected_convolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Adds high end of b to low end of a and adds low end of b to high end 
+		of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>reflected_deconvolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Subtracts high end of b from low end of a and subtracts low end of b 
+		from high end of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>euclidean_distance</b>(const T&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		coordinate_type)</font></td>
+		<td>Returns the distance from an object that models interval to a 
+		coordinate.&nbsp; Returns zero if the coordinate is equal to an end of 
+		the interval or contained within the interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>intersects</b>(const T1&amp; interval, const T2&amp; b, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true)</font></td>
+		<td>Returns true if two objects that model interval overlap.&nbsp; If 
+		the consider_touch flag is true touching at the endpoints is considered 
+		overlap.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>boundaries_intersect</b>(const T1&amp; interval, const T2&amp; b, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true)</font></td>
+		<td>Returns true is two objects that model interval partially overlap 
+		such that one end point of each is contained within the other.&nbsp; If 
+		the consider_touch flag is true a coordinate is considered contained 
+		even if it is equal to an end.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>abuts</b>(const T1&amp; a, const T2&amp; b,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; direction_1d dir)
+		</font></td>
+		<td>Returns true if interval b abuts but down not overlap interval a on 
+		the end of interval a specified by dir.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>abuts</b>(const T1&amp; a, const T2&amp; b)</font></td>
+		<td>Returns true if interval b abuts but down not overlap interval a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>intersect</b>(T1&amp; a, const T2&amp; b,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true) </font></td>
+		<td>Sets interval a to the intersection of interval a and interval b and 
+		return true.&nbsp; If the two intervals do not intersect interval a is 
+		unchanged and the function returns false.&nbsp; If the flag 
+		consider_touch is true intervals that abut are considered to intersect.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T&amp; <b>generalized_intersect</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Same as intersect, but if they do not intersect set a to the 
+		interval between a and b.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; interval, coordinate_type)</font></td>
+		<td>Adds the coordinate value to high end of interval and subtracts it 
+		from low end of interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; interval, direction_1d, coordinate_type)</font></td>
+		<td>Adds the coordinate value to high end of interval or subtracts it 
+		from low end of interval depending on the direction_1d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; interval, coordinate_type)</font></td>
+		<td>Subtracts the coordinate value from high end of interval and adds it 
+		to low end of interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; interval, direction_1d, coordinate_type)</font></td>
+		<td>Subtracts the coordinate value from high end of interval or adds it 
+		to low end of interval depending on the direction_1d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>encompass</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Sets low of a to min of low of a and low of b and sets high of a to 
+		max of high of a and high of b.&nbsp; Returns true if b was not 
+		contained within a to begin with.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		bool <b>encompass</b>(T&amp; a, coordinate_type)</font></td>
+		<td>Sets low of a to min of low of a and coordinate value and sets high 
+		of a to max of high of a and coordinate value.&nbsp; Returns true if 
+		coordinate value was not contained within a to begin with.</td>
+	</tr>
+</table>
+	<h1>Interval Data</h1>
+
+<p> 
+<p>The library provides a model of interval concept declared
+<font face="Courier New">
+template&lt;typename T&gt; interval_data </font>where T is the coordinate type.</p>
+<p>This data type is used internally when an interval is needed and is available 
+to the library user who finds it convenient to use a library interval data type 
+instead of providing their own.&nbsp; The data type is implemented to be 
+convenient to use with the library traits.</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">interval_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>interval_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the two coordinate 
+		values of the interval.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>interval_data</b>(T low, T 
+		high)</font></td>
+		<td><font face="Times New Roman">Constructs an interval with two 
+		coordinates.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>interval_data</b>(const 
+		interval_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">interval_data&amp; <b>operator=</b>(const 
+		interval_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b>&nbsp; 
+		<br> </b>interval_data&amp; <b>operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator==</b>(const T2&amp; that) const</font></td>
+		<td>Compare equality to an object that is a model of interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator!=</b>(const T2&amp; that) const</font></td>
+		<td>Compare inequality to an object that is a model of interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&lt;</b>(const T2&amp; that) const</font></td>
+		<td>Compares low coordinates then high coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&lt;=</b>(const T2&amp; that) const</font></td>
+		<td>Compares low coordinates then high coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&gt;</b>(const T2&amp; that) const</font></td>
+		<td>Compares low coordinates then high coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&gt;=</b>(const T2&amp; that) const</font></td>
+		<td>Compares low coordinates then high coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">T <b>get</b>(direction_1d dir) 
+		const</font></td>
+		<td>Get the coordinate in the given direction.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>set</b>(direction_1d 
+		dir, T value)</font></td>
+		<td>Sets the coordinate in the given direction to the value.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_isotropy.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_isotropy.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,521 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Isotropy</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+			<li>Isotropy</li>
+            <li>Coordinate Concept</li>
+			<li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Isotropy</h1>
+
+<p> 
+<p align="left">What is isotropy?</p>
+<P:COLORSCHEME 
+colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00" />
+<div class="O" style="TEXT-ALIGN: center; mso-line-spacing: '90 0 0'; mso-margin-left-alt: 216; mso-char-wrap: 1; mso-kinsoku-overflow: 1" v:shape="_x0000_s1026">
+	<p style="TEXT-ALIGN: left">
+	<span style="mso-bidi-font-family: Arial">Isotropy - Function: <i>adjective</i> Etymology: International 
+	Scientific Vocabulary<br>
+	<b>:</b> exhibiting properties (as velocity of light transmission) with the 
+	same values when measured along axes in all directions &lt;an <i>isotropic</i> 
+	crystal&gt;</span></div>
+<p align="left">In computational geometry things are often symmetric and 
+invariant to direction and orientation.&nbsp; This invariance to direction is 
+called isotropy.&nbsp; In such situations it is convenient to parameterize 
+direction or orientation and write code that is invariant to the direction or 
+orientation in which it is applied.&nbsp; To do this effectively we provide an 
+internally consistent set of isotropic data types to represent program 
+data that describes orientations and directions.&nbsp; These data types are:</p>
+    <ul>
+        <li>direction_1d - has one of the following 2 states: LOW, HIGH </li>
+		<li>orientation_2d - has one of the following 2 states: HORIZONTAL, 
+		VERTICAL</li>
+		<li>direction_2d - has one of the following 4 states: WEST, EAST, SOUTH, 
+		NORTH</li>
+		<li>orientation_3d - has one of the following 3 states: HORIZONTAL, 
+		VERTICAL, PROXIMAL</li>
+		<li>direction_3d - has one of the following 6 states: WEST, EAST, SOUTH, 
+		NORTH, DOWN, UP</li>
+    </ul>
+
+<p align="left">The isotropic types create a system and interact with each other 
+in various ways, such as casting.&nbsp; Together they create a language for 
+describing isotropic situations programmatically.&nbsp; For instance, to get the 
+positive direction_2d from an orientation_2d you would call a member function of 
+orientation_2d and pass a direction_1d:</p>
+<p align="left"><font face="Courier New">orientation_2d orient = HORIZONTAL;<br>
+direction_2d dir = orient.get_direction(direction_1d(HIGH));<br>
+assert(dir == EAST);</font></p>
+<p align="left">The motivation for providing isotropic data types is to 
+encourage programming at a higher level of abstraction where program behavior is 
+controlled by program data passed into function calls rather than flow control 
+syntax.&nbsp; Isotropic programming style is particularly applicable to working 
+with points, intervals and rectangles.&nbsp; Often times the implementation of 
+such logic is identical when implemented for the x or y coordinates, except that 
+the names of functions and data members are changed in a mechanical way leading 
+to code duplication and bloat that results in copy-paste programming errors and 
+maintenance problems where changes made to a given code block relating to x 
+coordiantes are not duplicated to the code block that refers to y.&nbsp; 
+Isotropy therefore represents an opportunity to refactor and improve the quality 
+of low level geometry code especially in regard to inter-relating coordinates, 
+points, intervals and rectangles.</p>
+<h2>direction_1d</h2>
+
+<p> 
+<p align="left">The direction_1d data type has two possible states.&nbsp; These 
+are the positive and negative directions on a continuum such as the number line.&nbsp;&nbsp; 
+These states can be described by one of several direction_1d_enum values:&nbsp; 
+We make clockwise and counterclockwise winding orientation of polygons a 
+direction 1d value instead of providing a separate winding_orientation data 
+type.&nbsp; This is because winding orientation can be thought of as positive 
+and negative directions in a 1d (although cyclic) space.&nbsp; We assign 
+counterclockwise to be the positive direction of travel in the 1d cyclic space 
+to conform with the mathematical convention frequently described as the &quot;right 
+hand rule&quot; which assigns positive normal value to counterclockwise and negative 
+normal value to clockwise as well as the common convention that counterclockwise 
+polygon winding corresponds to positive polygonal regions where as clockwise 
+polygon winding corresponds to hole (negative) polygonal regions.</p>
+<p align="left"><font face="Courier New">enum direction_1d_enum {LOW = 0, HIGH = 
+1,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+LEFT = 0, RIGHT = 1,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+CLOCKWISE = 0, COUNTERCLOCKWISE = 1,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+REVERSE = 0, FORWARD = 1,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+NEGATIVE = 0, POSITIVE = 1 };</font></p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New"><b>direction_1d</b>(direction_1d_enum 
+		val = LOW)</font></td>
+		<td>Constructor defaults to LOW. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">direction_1d</font></b><font face="Courier New">(const 
+		direction_1d&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">direction_1d</font></b><font face="Courier New">(const 
+		direction_2d&amp; that)</font></td>
+		<td>Down cast direction_2d, extracting out whether positive or negative</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">direction_1d</font></b><font face="Courier New">(const 
+		direction_3d&amp; that)</font></td>
+		<td>Down cast direction_3d, extracting out whether positive or negative</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>operator=</b>(const direction_1d dir)</font></td>
+		<td>Assignment</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>operator==</b>(const direction_1d dir) 
+const</font></td>
+		<td>Equivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>operator!=</b>(const direction_1d dir) 
+const</font></td>
+		<td>Inequivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <b>to_int</b>() const</font></td>
+		<td>Convert to the integer enum value of current state to use as index.&nbsp; 
+		Auto-cast to int is disallowed for type safety reasons.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>backward</b>()</font></td>
+		<td>Inverts direction.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>get_sign</b>() const</font></td>
+		<td>Returns positive 1 if positive direction and negative one if 
+		negative direction.</td>
+	</tr>
+	</table>
+<h2>orientation_2d</h2>
+
+<p> 
+<p align="left">The orientation_2d data type has two possible states.&nbsp; 
+These are the horizontal and vertical axis of a 2d Cartesian coordinate system.&nbsp;&nbsp; 
+These states can be described by one of the two orientation_2d_enum values:</p>
+<p align="left"><font face="Courier New">enum orientation_2d_enum { HORIZONTAL = 
+0, VERTICAL = 1 };</font></p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">orientation_2</font></b><font face="Courier New"><b>d</b>(orientation_2d_enum 
+		val = HORIZONTAL)</font></td>
+		<td>Constructor defaults to HORIZONTAL. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">orientation_2</font></b><font face="Courier New"><b>d</b>(const 
+		orientation_2d&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">explicit </font><b>
+		<font face="Courier New">orientation_2</font></b><font face="Courier New"><b>d</b>(const 
+		direction_2d&amp; that)</font></td>
+		<td>Down cast direction_2d, extracting out whether horizontal or 
+		vertical direction type</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">orientation_2d&amp; <b>operator=</b>(const orientation_2d 
+o)</font></td>
+		<td>Assignment</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">orientation_2d&amp; <b>operator==</b>(const orientation_2d 
+o) const</font></td>
+		<td>Equivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">orientation_2d&amp; <b>operator!=</b>(const orientation_2d 
+o) const</font></td>
+		<td>Inequivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <b>to_int</b>() const</font></td>
+		<td>Convert to the integer enum value of current state to use as index.&nbsp; 
+		Auto-cast to int is disallowed for type safety reasons</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">orientation_2d&amp; <b>turn_90</b>()</font></td>
+		<td>Change to orthogonal orientation</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>get_perpendicular</b>() const</font></td>
+		<td>Returns orthogonal orientation</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>get_direction</b>(direction_1d dir) const</font></td>
+		<td>Returns the positive or negative direction_2d depending on the value 
+		of dir</td>
+	</tr>
+	</table>
+<h2>direction_2d</h2>
+
+<p> 
+<p align="left">The direction_2d data type has four possible states.&nbsp; These 
+are the cardinal directions of the 2D Cartesian coordinate system.&nbsp;&nbsp; 
+These states can be described by one of several direction_2d_enum values:</p>
+<p align="left"><font face="Courier New">enum direction_2d_enum { WEST = 0, EAST 
+= 1, SOUTH = 2, NORTH = 3 };</font></p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table3">
+	<tr>
+		<td width="586"><font face="Courier New"><b>direction_2d</b>(direction_2d_enum 
+		val = WEST)</font></td>
+		<td>Constructor defaults to WEST. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">direction_2d</font></b><font face="Courier New">(const 
+		direction_2d&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>operator=</b>(const direction_2d dir)</font></td>
+		<td>Assignment</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>operator==</b>(const direction_2d dir) 
+const</font></td>
+		<td>Equivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>operator!=</b>(const direction_2d dir) 
+const</font></td>
+		<td>Inequivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <b>to_int</b>() const</font></td>
+		<td>Convert to the integer enum value of current state to use as index.&nbsp; 
+		Auto-cast to int is disallowed for type safety reasons.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_2d&amp; <b>backward</b>()</font></td>
+		<td>Inverts direction.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_2d&amp; <b>turn</b>(direction_1d dir)</font></td>
+		<td>Changes to direction_2d to the left if dir is LOW, to the right if 
+		dir is HIGH</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_2d&amp; <b>left</b>()</font></td>
+		<td>Changes to the direction_2d to the left</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_2d&amp; <b>right</b>()</font></td>
+		<td>Changes to the direction_2d to the right</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>is_positive</b>() const</font></td>
+		<td>Returns true if EAST or NORTH</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>is_negative</b>() const</font></td>
+		<td>Returns true if WEST or SOUTH</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>get_sign</b>() const</font></td>
+		<td>Returns positive 1 if positive direction and negative one if 
+		negative direction.</td>
+	</tr>
+	</table>
+<h2>orientation_3d</h2>
+
+<p> 
+<p align="left">The orientation_3d data type has three possible states.&nbsp; 
+These are the horizontal, vertical and proximal (x, y, z) axis of a 3d Cartesian 
+coordinate system.&nbsp;&nbsp; These states can be described by one of the 
+orientation_2d_enum values or by the orientation_3d_enum value:</p>
+<p align="left"><font face="Courier New">enum orientation_3d_enum { PROXIMAL = 2 
+};</font></p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table6">
+	<tr>
+		<td width="586"><b><font face="Courier New">orientation_3</font></b><font face="Courier New"><b>d</b>(orientation_2d_enum 
+		val = HORIZONTAL)</font></td>
+		<td>Constructor defaults to HORIZONTAL. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">orientation_3</font></b><font face="Courier New"><b>d</b>(const 
+		orientation_3d&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">explicit </font><b>
+		<font face="Courier New">orientation_3</font></b><font face="Courier New"><b>d</b>(const 
+		direction_2d&amp; that)</font></td>
+		<td>Extract out the orientation of the direction</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">explicit </font><b>
+		<font face="Courier New">orientation_3</font></b><font face="Courier New"><b>d</b>(const 
+		direction_3d&amp; that)</font></td>
+		<td>Extract out the orientation of the direction</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">orientation_3</font></b><font face="Courier New"><b>d</b>(const 
+		orientation_2d&amp; that)</font></td>
+		<td>Up cast orientation_2d to orientation_3d.</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">orientation_3</font></b><font face="Courier New"><b>d</b>(const 
+		orientation_3d_enum&amp; that)</font></td>
+		<td>Construct from constant value</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">orientation_3d&amp; <b>operator=</b>(const orientation_3d 
+o)</font></td>
+		<td>Assignment</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">orientation_3d&amp; <b>operator==</b>(const orientation_3d 
+o) const</font></td>
+		<td>Equivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">orientation_3d&amp; <b>operator!=</b>(const orientation_3d 
+o) const</font></td>
+		<td>Inequivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <b>to_int</b>() const</font></td>
+		<td>Convert to the integer enum value of current state to use as index.&nbsp; 
+		Auto-cast to int is disallowed for type safety reasons</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>get_direction</b>(direction_1d dir) const</font></td>
+		<td>Returns the positive or negative direction_2d depending on the value 
+		of dir</td>
+	</tr>
+	</table>
+<h2>direction_3d</h2>
+
+<p> 
+<p align="left">The direction_3d data type has six possible states.&nbsp; These 
+are the cardinal directions of the 3D Cartesian coordinate system.&nbsp;&nbsp; 
+These states can be described by one of the direction_2d_enum values or the 
+direction_3d_enum values:</p>
+<p align="left"><font face="Courier New">enum direction_3d_enum { DOWN = 4, UP = 
+5 };</font></p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table5">
+	<tr>
+		<td width="586"><font face="Courier New"><b>direction_3d</b>(direction_2d_enum 
+		val = WEST)</font></td>
+		<td>Constructor defaults to LOW. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">direction_3d</font></b><font face="Courier New">(direction_3d_enum that)</font></td>
+		<td>Construct from constant value</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">direction_3d</font></b><font face="Courier New">(const 
+		direction_3d&amp; that)</font></td>
+		<td>Copy construct</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">direction_3d</font></b><font face="Courier New">(direction_2d that)</font></td>
+		<td>Up cast direction_2d to direction_3d</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_3d&amp; <b>operator=</b>(const direction_3d dir)</font></td>
+		<td>Assignment</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_3d&amp; <b>operator==</b>(const direction_3d dir) 
+const</font></td>
+		<td>Equivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_2d&amp; <b>operator!=</b>(const direction_3d dir) 
+const</font></td>
+		<td>Inequivalence</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">unsigned int <b>to_int</b>() const</font></td>
+		<td>Convert to the integer enum value of current state to use as index.&nbsp; 
+		Auto-cast to int is disallowed for type safety reasons.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">direction_1d&amp; <b>backward</b>()</font></td>
+		<td>Inverts direction.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>is_positive</b>() const</font></td>
+		<td>Returns true if direction is EAST, NORTH or UP.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>is_negative</b>() const</font></td>
+		<td>Returns true if direction is WEST, SOUTH or DOWN</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">int <b>get_sign</b>() const</font></td>
+		<td>Returns positive 1 if positive direction and negative one if 
+		negative direction.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table7">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

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==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_minkowski_tutorial.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,230 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Polygon Usage</title>
+</head>
+
+<body>
+
+<h1>Minkowski Sum Tutorial</h1> 
+<p>In this tutorial we will implement an algorithm to compute the Minkowski sum 
+of two polygon sets.&nbsp; The Minkowski sum of two polygon sets is the 
+convolution of the two polygon sets and is defined as the set of points which is 
+produced if you sum all pairs of points in the two polygon sets.&nbsp; The sum 
+of two points is implemented in Boost.Polygon by the <font face="Courier New">
+convolve</font> function for point_concept.&nbsp; 
+Similarly there is a <font face="Courier New">
+convolve</font> function for rectangle_concept.&nbsp; 
+The convolution of two polygon sets produces a polygon set as its output.&nbsp; 
+An example of the convolution of two polygons is shown below.&nbsp; The center 
+point of the green 
+star can be imagined to slide around freely inside the blue picture frame shape 
+painting the area the star touches to produce the red bloated picture frame.</p>
+<p>&nbsp;<img border="0" src="images/convolution1.PNG" width="438" height="404"></p>
+<p>The above image was produced using the code presented in this tutorial.&nbsp; 
+We can see that the algorithm for Minkowski sum should support non-convex 
+polygons that may potentially have holes.&nbsp; It should also support disjoint 
+polygons in both input polygon sets.&nbsp; Shown below is what happens when 
+multiple polygons are present in each input polygon set.</p>
+<p><img border="0" src="images/convolution2.PNG" width="547" height="432"></p>
+<p>In each of these examples the origin of the coordinate system is in the lower 
+left corner of the image and the sum of the x and y locations of the input 
+polygons places the result in the upper right hand corner of the images.&nbsp; 
+In the example above the lower left red triangle is the convolution of the small 
+blue triangle with the small green triangle.&nbsp; The upper right red triangle 
+is the convolution of the large blue and large green triangle.&nbsp; The two 
+medium sized red polygons are the result of the convolution of the small with 
+large and large with small blue and green triangles.&nbsp; The test case was 
+carefully contrived to prevent the result from merging together, though that 
+could certainly happen.</p>
+<p>The algorithm implemented for Minkowski sum in this tutorial is very simple.&nbsp; 
+It is based on the convolution of polygon edges.&nbsp; The convolution of two 
+edges is very easy to compute and is in general a parallelogram.&nbsp; An 
+example of two edges being convolved to produce a parallelogram is shown below.</p>
+<p><img border="0" src="images/convolve_edges.PNG" width="491" height="461"></p>
+<p>Now that we know what we need from a function to convolve two edges, let's 
+implement one now.&nbsp; Below we show the code for convolving two edges along 
+with some type definitions we will be using throughout the tutorial.&nbsp; The 
+code for this tutorial is available in <a href="tutorial/minkowski.cpp">
+minkowski.cpp</a>.</p>
+<p><font face="Courier New" size="2">typedef boost::polygon::point_data&lt;int&gt; 
+point;<br>
+typedef boost::polygon::polygon_set_data&lt;int&gt; polygon_set;<br>
+typedef boost::polygon::polygon_with_holes_data&lt;int&gt; polygon;<br>
+typedef std::pair&lt;point, point&gt; edge;<br>
+using namespace boost::polygon::operators;<br>
+<br>
+void convolve_two_segments(std::vector&lt;point&gt;&amp; figure, const edge&amp; a, const 
+edge&amp; b) {<br>
+&nbsp; using namespace boost::polygon;<br>
+&nbsp; figure.clear();<br>
+&nbsp; figure.push_back(point(a.first));<br>
+&nbsp; figure.push_back(point(a.first));<br>
+&nbsp; figure.push_back(point(a.second));<br>
+&nbsp; figure.push_back(point(a.second));<br>
+&nbsp; convolve(figure[0], b.second);<br>
+&nbsp; convolve(figure[1], b.first);<br>
+&nbsp; convolve(figure[2], b.first);<br>
+&nbsp; convolve(figure[3], b.second);<br>
+}</font></p>
+<p>This function for convolving two line segments just convolves the end points 
+of the two line segments in all combinations to produce the four points of a 
+parallelogram and populates a vector of points with them in the correct order.&nbsp; 
+We are using the Boost.Polygon library function for convolving two points and 
+the library point data structure.</p>
+<p>To compute the convolution of two polygon sets we start by taking the union 
+of the convolution of all pairs of edges between the two polygon sets.&nbsp; 
+Given an operation for convolving two edges it is pretty easy to convolve all 
+pairs of edges of two polygon sets.&nbsp; The result is the convolution the 
+perimeters of the polygon sets, but doesn't handle the convolution of their 
+interiors.&nbsp; To illustrate this we show what happens when one of the above 
+examples is computed using just the all pairs of edges convolution.</p>
+<p>&nbsp; <img border="0" src="images/perimeter_convolve.PNG" width="546" height="432"></p>
+<p>As we can see, the result is as if the small triangles were slid around the 
+perimeter of the large triangles leaving a hole in the center that should be 
+filled in if the small triangle were allowed to slide freely within the large 
+triangle.&nbsp; Also available in Boost.Polygon is the <font face="Courier New">
+convolve</font> function for polygon_concept 
+that convolves a polygon over a point.&nbsp; All this does is translate the 
+polygon by the x and y value of the point.&nbsp; To fill in the interior regions 
+of the result of the convolution of two polygon sets we perform an all pairs of 
+polygon convolution to the first vertex of the other polygon and merge that into 
+the union of edge convolutions.</p>
+<p>Let's implement the rest of Minkowski sum of two polygon sets as the union of 
+all pairs edges convolutions and the all pairs of polygons to point 
+convolutions.&nbsp; First we implement a function that convolves all pairs of 
+edges represented by iterator pairs over points.&nbsp; We assume that the first 
+point is equal to the last point in each sequence because we know the polygons 
+that gave rise to the iterators were produce by the Boost.Polygon algorithm for 
+general polygon formation.</p>
+<p><font face="Courier New" size="2">template &lt;typename itrT1, typename itrT2&gt;<br>
+void convolve_two_point_sequences(polygon_set&amp; result, itrT1 ab, itrT1 ae, itrT2 
+bb, itrT2 be) {<br>
+&nbsp; using namespace boost::polygon;<br>
+&nbsp; if(ab == ae || bb == be)<br>
+&nbsp;&nbsp;&nbsp; return;<br>
+&nbsp; point prev_a = *ab;<br>
+&nbsp; std::vector&lt;point&gt; vec;<br>
+&nbsp; polygon poly;<br>
+&nbsp; ++ab;<br>
+&nbsp; for( ; ab != ae; ++ab) {<br>
+&nbsp;&nbsp;&nbsp; point prev_b = *bb;<br>
+&nbsp;&nbsp;&nbsp; itrT2 tmpb = bb;<br>
+&nbsp;&nbsp;&nbsp; ++tmpb;<br>
+&nbsp;&nbsp;&nbsp; for( ; tmpb != be; ++tmpb) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; convolve_two_segments(vec, std::make_pair(prev_b, 
+*tmpb), std::make_pair(prev_a, *ab));<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; set_points(poly, vec.begin(), vec.end());<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; result.insert(poly);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; prev_b = *tmpb;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; prev_a = *ab;<br>
+&nbsp; }<br>
+}</font></p>
+<p>Using the function defined above we can implement a function for computing 
+the convolution of all pairs of edges represented by an iterator pair over 
+points and edges in a collection of polygons.&nbsp; We just call the 
+convolve_two_point_sequences for the input point sequence and all outer shell 
+and hole point sequences from the container of polygons.</p>
+<p><font face="Courier New" size="2">template &lt;typename itrT&gt;<br>
+void convolve_point_sequence_with_polygons(polygon_set&amp; result, itrT b, itrT e, 
+const std::vector&lt;polygon&gt;&amp; polygons) {<br>
+&nbsp; using namespace boost::polygon;<br>
+&nbsp; for(std::size_t i = 0; i &lt; polygons.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; convolve_two_point_sequences(result, b, e, 
+begin_points(polygons[i]), end_points(polygons[i]));<br>
+&nbsp;&nbsp;&nbsp; for(polygon_with_holes_traits&lt;polygon&gt;::iterator_holes_type 
+itrh = begin_holes(polygons[i]);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; itrh != end_holes(polygons[i]); ++itrh) 
+{<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; convolve_two_point_sequences(result, b, e, 
+begin_points(*itrh), end_points(*itrh));<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; }<br>
+}</font></p>
+<p>Using the function defined above we can implement a function for computing 
+the convolution of all pairs of edges from polygons contained within two polygon 
+sets.&nbsp; We also convolve each polygon with the first vertex of every polygon 
+from the other set to fill in the interiors of the result.</p>
+<p><font face="Courier New" size="2">void convolve_two_polygon_sets(polygon_set&amp; 
+result, const polygon_set&amp; a, const polygon_set&amp; b) {<br>
+&nbsp; using namespace boost::polygon;<br>
+&nbsp; result.clear();<br>
+&nbsp; std::vector&lt;polygon&gt; a_polygons;<br>
+&nbsp; std::vector&lt;polygon&gt; b_polygons;<br>
+&nbsp; a.get(a_polygons);<br>
+&nbsp; b.get(b_polygons);<br>
+&nbsp; for(std::size_t ai = 0; ai &lt; a_polygons.size(); ++ai) {<br>
+&nbsp;&nbsp;&nbsp; convolve_point_sequence_with_polygons(result, 
+begin_points(a_polygons[ai]), <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+end_points(a_polygons[ai]), b_polygons);<br>
+&nbsp;&nbsp;&nbsp; for(polygon_with_holes_traits&lt;polygon&gt;::iterator_holes_type 
+itrh = begin_holes(a_polygons[ai]);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; itrh != end_holes(a_polygons[ai]); ++itrh) 
+{<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; convolve_point_sequence_with_polygons(result, 
+begin_points(*itrh), <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+end_points(*itrh), b_polygons);<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; for(std::size_t bi = 0; bi &lt; b_polygons.size(); ++bi) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; polygon tmp_poly = a_polygons[ai];<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; result.insert(convolve(tmp_poly, *(begin_points(b_polygons[bi]))));<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; tmp_poly = b_polygons[bi];<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; result.insert(convolve(tmp_poly, *(begin_points(a_polygons[ai]))));<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; }<br>
+}</font></p>
+<p>We test the convolution of two polygon set with the code shown below that 
+produces the first example shown in this tutorial.<font face="Courier New" size="2">
+</font></p>
+<p><font face="Courier New" size="2">polygon_set a, b, c;<br>
+a += boost::polygon::rectangle_data&lt;int&gt;(0+300, 0, 200+300, 200);<br>
+a -= boost::polygon::rectangle_data&lt;int&gt;(50+300, 50, 150+300, 150);<br>
+std::vector&lt;polygon&gt; polys;<br>
+std::vector&lt;point&gt; pts;<br>
+pts.push_back(point(-40, 0+300));<br>
+pts.push_back(point(-10, 10+300));<br>
+pts.push_back(point(0, 40+300));<br>
+pts.push_back(point(10, 10+300));<br>
+pts.push_back(point(40, 0+300));<br>
+pts.push_back(point(10, -10+300));<br>
+pts.push_back(point(0, -40+300));<br>
+pts.push_back(point(-10, -10+300));<br>
+pts.push_back(point(-40, 0+300));<br>
+polygon poly;<br>
+boost::polygon::set_points(poly, pts.begin(), pts.end());<br>
+b+=poly;<br>
+polys.clear();<br>
+convolve_two_polygon_sets(c, a, b);</font></p>
+<p>Output (a is blue, b is green and c is red):</p>
+<p><img border="0" src="images/convolution1.PNG" width="438" height="404"></p>
+<p>This concludes our tutorial on how to implement Minkowski sum of polygons as 
+the convolution of polygon sets based on the Boolean OR operation of geometry 
+produced by simpler convolution features provided by the Boost.Polygon library.</p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_point_3d_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_point_3d_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,298 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Point 3D Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Point3D Concept</h1>
+
+<p> 
+<p> 
+The point_3d concept type identifier is <font face="Courier New">
+point_3d_concept</font><p> 
+To register a user defined type as a model of point_3d concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below 
+CPoint3D is registered as a model of point_3d&nbsp; concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPoint3D&gt; { typedef point_3d_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of an point_3d is that it has an x and 
+y coordinate.&nbsp; An int[3], boost::tuple&lt;int, int, int, int&gt; or boost::array&lt;int, 
+3&gt; 
+could all be made models of point_3d by simply providing indirect access to their 
+elements through traits.</font><p> 
+<font face="Times New Roman">Below is shown the default point_3d traits.&nbsp; 
+Specialization of these traits is required for types that don't conform to the 
+default behavior.</font><p> 
+template &lt;typename T&gt;<br>
+struct point_3d_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::coordinate_type coordinate_type;<br>
+<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline coordinate_type get(const T&amp; point, 
+orientation_3d orient) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return point.get(orient); 
+}<br>
+};<br>
+<br>
+template &lt;typename T&gt;<br>
+struct point_3d_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline void set(T&amp; point, orientation_3d orient, 
+typename point_3d_traits&lt;T&gt;::coordinate_type value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; point.set(orient, value); 
+}<br>
+<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T construct(typename point_3d_traits&lt;T&gt;::coordinate_type 
+x_value, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+typename point_3d_traits&lt;T&gt;::coordinate_type y_value, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+typename point_3d_traits&lt;T&gt;::coordinate_type z_value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return T(x_value, y_value, 
+z_value); }<br>
+};<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_type <b>get</b>(const T&amp; point_3d, orientation_3d)</font></td>
+		<td><font face="Times New Roman">Expects a model of point_3d.&nbsp; 
+		Returns the x or y coordinate of the point_3d, depending on the 
+		orientation_3d value.</font><font face="Courier New"><br>
+&nbsp;</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coordinate_type&gt;<br>
+		void <b>set</b>(T&amp; point_3d, orientation_3d, coordinate_type)</font></td>
+		<td><font face="Times New Roman">Expects a model of point_3d.&nbsp;&nbsp; 
+		Sets the x, y or z coordinate of the point_3d to the coordinate, depending 
+		on the orientation_3d&nbsp; value. </font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T <b>construct</b>(coordinate_type x, coordinate_type y, </font>
+		<br><font face="Courier New">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_type z)</font></td>
+		<td>Construct an object that is a model of point_3d given x, y and z 
+		coordinate values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models point_3d into left object 
+		that models point_3d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		T2&gt;<br>
+		bool <b>equivalence</b>(const T&amp; point_3d1, const T2&amp; point_3d2)</font></td>
+		<td>Given two objects that model point_3d, compares and returns true if 
+		their x, y and z values are respectively equal to each other.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		coordinate_type <b>x</b>(const point_3d_type&amp; point_3d)</font></td>
+		<td>Returns the x coordinate of an object that models point_3d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		coordinate_type <b>y</b>(const point_3d_type&amp; point_3d)</font></td>
+		<td>Returns the y coordinate of an object that models point_3d.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		coordinate_type <b>z</b>(const point_3d_type&amp; point_3d)</font></td>
+		<td>Returns the z coordinate of an object that models point_3d.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		void <b>x</b>(point_3d_type&amp; point_3d, coordinate_type )</font></td>
+		<td>Sets the x coordinate of the object that models point_3d to the 
+		coordinate value.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		void <b>y</b>(point_3d_type&amp; point_3d, coordinate_type )</font></td>
+		<td>Sets the y coordinate of the object that models point_3d to the 
+		coordinate value.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		void <b>z</b>(point_3d_type&amp; point_3d, coordinate_type )</font></td>
+		<td>Sets the z coordinate of the object that models point_3d to the 
+		coordinate value. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		point_3d_type&amp; <b>scale_up</b>(point_3d_type&amp; point_3d, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned_area_type factor)</font></td>
+		<td>Multiplies x, y and z coordinate of an object that models point_3d by 
+		unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type&gt;<br>
+		point_3d_type&amp; <b>scale_down</b>(point_3d_type&amp; point_3d, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned_area_type factor)</font></td>
+		<td>Divides x, y and z coordinate of an object that models point_3d by 
+		unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type, typename scaling_type&gt;<br>
+		point_3d_type&amp; <b>scale</b>(point_3d_type&amp; point_3d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const scaling_type&amp; factor) </font></td>
+		<td>Calls the scale member function of scaling type on the x, y and z value 
+		of an object that models point_3d and sets the point_3d to the scaled 
+		values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		point_3d_type, typename transform_type&gt;<br>
+		point_3d_type&amp; <b>transform</b>(point_3d_type&amp; point_3d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const transform_type&amp; transform) </font></td>
+		<td>Calls the transform member function of transform type on the x, y and 
+		z 
+		value of an object that models point_3d and sets the point_3d to the 
+		transformed values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_3d_type&amp; <b>move</b>(T&amp; point_3d, orientation_3d<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to the coordinate of an object that models 
+		point_3d indicated by the orientation_3d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>convolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Adds x coordinate of b to x coordinate of a and adds y coordinate of 
+		b to y coordinate of a and adds z coordinate of b to z coordinate of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>deconvolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Subtracts x coordinate of b from x coordinate of a and subtracts y 
+		coordinate of b from y coordinate of a and subtracts z coordinate of b 
+		from z coordinate of a. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		coordinate_distance <b>euclidean_distance</b>(const T1&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp;)</font></td>
+		<td>Returns the distance from an object that models point_3d to a second 
+		object that models point_3d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>euclidean_distance</b>(const T&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_3d, coordinate_type)</font></td>
+		<td>Returns the distance from an object that models point_3d to a 
+		coordinate in the given orientation_3d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		coordinate_distance <b>manhattan_distance</b>(const T1&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp;)</font></td>
+		<td>Returns the distance in x plus the distance in y plus the distance 
+		in z from an object that 
+		models point_3d to a second object that models point_3d.</td>
+	</tr>
+	</table>
+<p>&nbsp;<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_point_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_point_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,400 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Point Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Point Concept</h1>
+
+<p> 
+<p> 
+The point concept tag is <font face="Courier New">
+point_concept</font><p> 
+To register a user defined type as a model of point concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below CPoint is registered as a model of 
+point&nbsp; concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPoint&gt; { typedef point_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a point is that it has an x and y 
+coordinate.&nbsp; A std::pair&lt;int, int&gt;, boost::tuple&lt;int, int&gt; or boost::array&lt;int, 2&gt; 
+could all be made models of point by simply providing indirect access to their 
+elements through traits, however, these objects cannot be made a model of both 
+point and interval in the same compilation unit, for obvious reason that 
+duplicate specialization of the geometry_concept struct is illegal, but also 
+because it would make overloading generic function by concept ambiguous if a 
+type modeled more than one concept.</font><p> 
+<font face="Times New Roman">Below is shown the default point traits.&nbsp; 
+Specialization of these traits is required for types that don't conform to the 
+default behavior.</font><p> 
+template &lt;typename T&gt;<br>
+struct point_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::coordinate_type coordinate_type;<br>
+<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline coordinate_type get(const T&amp; point, 
+orientation_2d orient) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return point.get(orient);
+<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};<br>
+<br>
+template &lt;typename T&gt;<br>
+struct point_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline void set(T&amp; point, orientation_2d orient, 
+typename point_traits&lt;T&gt;::coordinate_type value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; point.set(orient, value);
+<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T construct(typename point_traits&lt;T&gt;::coordinate_type 
+x_value, typename point_traits&lt;T&gt;::coordinate_type y_value) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return T(x_value, y_value);
+<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};<p> 
+Example code custom_point.cpp demonstrates 
+how to map a 
+		user defined point class to the library point_concept<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_type <b>get</b>(const T&amp; point, orientation_2d)</font></td>
+		<td><font face="Times New Roman">Expects a model of point.&nbsp; Returns 
+		the x or y coordinate of the point, depending on the orientation_2d 
+		value.</font><font face="Courier New"><br>
+&nbsp;</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coordinate_type&gt;<br>
+		void <b>set</b>(T&amp; point, orientation_2d, coordinate_type)</font></td>
+		<td><font face="Times New Roman">Expects a model of point.&nbsp;&nbsp; 
+		Sets the x or y coordinate of the point to the coordinate, depending on 
+		the orientation_2d&nbsp; value. </font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T <b>construct</b>(coordinate_type x, coordinate_type y)</font></td>
+		<td>Construct an object that is a model of point given x and y 
+		coordinate values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models point into left object 
+		that models point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		T2&gt;<br>
+		bool <b>equivalence</b>(const T&amp; point1, const T2&amp; point2)</font></td>
+		<td>Given two objects that model point, compares and returns true if 
+		their x and y values are respectively equal to each other.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type&gt;<br>
+		coordinate_type <b>x</b>(const point_type&amp; point)</font></td>
+		<td>Returns the x coordinate of an object that models point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type&gt;<br>
+		coordinate_type <b>y</b>(const point_type&amp; point)</font></td>
+		<td>Returns the y coordinate of an object that models point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type&gt;<br>
+		void <b>x</b>(point_type&amp; point, coordinate_type )</font></td>
+		<td>Sets the x coordinate of the object that models point to the 
+		coordinate value.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type&gt;<br>
+		void <b>y</b>(point_type&amp; point, coordinate_type )</font></td>
+		<td>Sets the y coordinate of the object that models point to the 
+		coordinate value.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type&gt;<br>
+		point_type&amp; <b>scale_up</b>(point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned_area_type factor)</font></td>
+		<td>Multiplies x and y coordinate of an object that models point by 
+		unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type&gt;<br>
+		point_type&amp; <b>scale_down</b>(point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned_area_type factor)</font></td>
+		<td>Divides x and y coordinate of an object that models point by 
+		unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type, 
+		typename scaling_type&gt;<br>
+		point_type&amp; <b>scale</b>(point_type&amp; point,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const scaling_type&amp; factor) </font></td>
+		<td>Calls the scale member function of scaling type on the x and y value 
+		of an object that models point and sets the point to the scaled values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type, 
+		typename transform_type&gt;<br>
+		point_type&amp; <b>transform</b>(point_type&amp; point,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const transform_type&amp; transform) </font></td>
+		<td>Calls the transform member function of transform type on the x and y 
+		value of an object that models point and sets the point to the 
+		transformed values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename point_type&gt;<br>
+		point_type&amp; <b>move</b>(point_type&amp; point, orientation_2d<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to the coordinate of an object that models 
+		point indicated by the orientation_2d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>convolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Adds x coordinate of b to x coordinate of a and adds y coordinate of 
+		b to y coordinate of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>deconvolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Subtracts x coordinate of b from x coordinate of a and subtracts y 
+		coordinate of b from y coordinate of a. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		coordinate_distance <b>euclidean_distance</b>(const T1&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp;)</font></td>
+		<td>Returns the distance from an object that models point to a second 
+		object that models point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>euclidean_distance</b>(const T&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d, 
+		coordinate_type)</font></td>
+		<td>Returns the distance from an object that models point to a 
+		coordinate in the given orientation_2d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		coordinate_difference <b>manhattan_distance</b>(const T1&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp;)</font></td>
+		<td>Returns the distance in x plus the distance in y from an object that 
+		models point to a second object that models point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		coordinate_difference <b>distance_squared</b>(const T1&amp;,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp;)</font></td>
+		<td>Returns the square of the distance in x plus the square of the 
+		distance in y from an object that models point to a second object that 
+		models point.</td>
+	</tr>
+</table>
+<h1>Point Data</h1>
+
+<p> 
+<p>The library provides a model of point concept declared
+<font face="Courier New">
+template&lt;typename T&gt; point_data </font>where T is the coordinate type.</p>
+<p>This data type is used internally when a point is needed and is available to 
+the library user who finds it convenient to use a library point data type 
+instead of providing their own.&nbsp; The data type is implemented to be 
+convenient to use with the library traits.</p>
+<p>Example code point_usage.cpp demonstrates using the 
+		library provided point data type and functions</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">point_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>point_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the two coordinate 
+		values of the </font>point<font face="Times New Roman">.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>point_data</b>(T x, T y)</font></td>
+		<td><font face="Times New Roman">Constructs an interval with two 
+		coordinates.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>point_data</b>(const point_data* 
+		that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">point_data&amp; <b>operator=</b>(const 
+		point_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b>&nbsp; 
+		<br> </b>point_data&amp; <b>operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator==</b>(const T2&amp; that) const</font></td>
+		<td>Compare equality to an object that is a model of point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator!=</b>(const T2&amp; that) const</font></td>
+		<td>Compare inequality to an object that is a model of point.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&lt;</b>(const T2&amp; that) const</font></td>
+		<td>Compares y coordinates then x coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&lt;=</b>(const T2&amp; that) const</font></td>
+		<td>Compares y coordinates then x coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&gt;</b>(const T2&amp; that) const</font></td>
+		<td>Compares low coordinates then high coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator&gt;=</b>(const T2&amp; that) const</font></td>
+		<td>Compares low coordinates then high coordinates to break ties.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">T <b>get</b>(orientation_2d 
+		orient) const</font></td>
+		<td>Get the coordinate in the given orientation.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">T <b>x</b>() const</font></td>
+		<td>Get the coordinate in the horizontal orientation.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">T <b>y</b>() const</font></td>
+		<td>Get the coordinate in the vertical orientation.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>set</b>(orientation_2d 
+		orient, T value)</font></td>
+		<td>Sets the coordinate in the given orientation to the value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>x</b>(T value)</font></td>
+		<td>Sets the coordinate in the horizontal orientation to the value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>y</b>(T value)</font></td>
+		<td>Sets the coordinate in the vertical orientation to the value.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_point_usage.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_point_usage.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,90 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Point Usage</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">/*<br>
+Copyright 2008 Intel Corporation<br>
+<br>
+Use, modification and distribution are subject to the Boost Software License,<br>
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at<br>
+http://www.boost.org/LICENSE_1_0.txt).<br>
+*/<br>
+#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;cassert&gt;<br>
+namespace gtl = boost::polygon;<br>
+using namespace boost::polygon::operators;<br><br>
+int main() {<br>
+&nbsp; //constructing a gtl point<br>
+&nbsp; typedef gtl::point_data&lt;int&gt; Point;<br>
+&nbsp; int x = 10;<br>
+&nbsp; int y = 20;<br>
+&nbsp; Point pt(x, y);<br>
+&nbsp; assert(gtl::x(pt) == 10);<br>
+&nbsp; assert(gtl::y(pt) == 20);<br>
+&nbsp; <br>
+&nbsp; //a quick primer in isotropic point access<br>
+&nbsp; typedef gtl::orientation_2d O;<br>
+&nbsp; using gtl::HORIZONTAL;<br>
+&nbsp; using gtl::VERTICAL;<br>
+&nbsp; O o = HORIZONTAL;<br>
+&nbsp; assert(gtl::x(pt) == gtl::get(pt, o));<br>
+&nbsp; <br>
+&nbsp; o = o.get_perpendicular();<br>
+&nbsp; assert(o == VERTICAL);<br>
+&nbsp; assert(gtl::y(pt) == gtl::get(pt, o));<br>
+<br>
+&nbsp; gtl::set(pt, o, 30);<br>
+&nbsp; assert(gtl::y(pt) == 30);<br>
+<br>
+&nbsp; //using some of the library functions<br>
+&nbsp; Point pt2(10, 30);<br>
+&nbsp; assert(gtl::equivalence(pt, pt2));<br>
+<br>
+&nbsp; gtl::transformation&lt;int&gt; tr(gtl::axis_transformation::SWAP_XY);<br>
+&nbsp; gtl::transform(pt, tr);<br>
+&nbsp; assert(gtl::equivalence(pt, Point(30, 10)));<br>
+<br>
+&nbsp; gtl::transformation&lt;int&gt; tr2 = tr.inverse();<br>
+&nbsp; assert(tr == tr2); //SWAP_XY is its own inverse transform<br>
+<br>
+&nbsp; gtl::transform(pt, tr2);<br>
+&nbsp; assert(gtl::equivalence(pt, pt2)); //the two points are equal again<br>
+<br>
+&nbsp; gtl::move(pt, o, 10); //move pt 10 units in y<br>
+&nbsp; assert(gtl::euclidean_distance(pt, pt2) == 10.0f);<br>
+<br>
+&nbsp; gtl::move(pt, o.get_perpendicular(), 10); //move pt 10 units in x<br>
+&nbsp; assert(gtl::manhattan_distance(pt, pt2) == 20);<br>
+<br>
+&nbsp; return 0;<br>
+}<br>
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_polygon_45_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_45_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,360 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon 45 Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon 45 Concept</h1>
+
+<p> 
+<p>The polygon_45 concept tag is <font face="Courier New">
+polygon_45_concept</font></p>
+<p> 
+To register a user defined type as a model of  
+<font face="Times New Roman">polygon_45 </font>concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below CPolygon45 is registered as a model of 
+polygon_45&nbsp; concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPolygon45&gt; { typedef polygon_45_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a polygon_45 is that it can provide 
+iterators over the points that represent its vertices, angles formed as these 
+vertices must be multiple of 45-degree relative to the coordinate axis.&nbsp; It 
+is acceptable to have the last edge explict with the first and last point equal 
+to each other or implied by this segement that would connect the first and last 
+point.&nbsp; A mutable polygon_45 must also be able to set its geometry based on 
+an interator range over such points.&nbsp;&nbsp; A std::vector&lt;point_data&lt;int&gt; &gt; 
+or std::list&lt;point_data&lt;int&gt; &gt; 
+could be made models of polygon_45_concept by simply providing access to their 
+iterators through traits.&nbsp; Library functions that create polygon objects 
+require that those objects provide a default constructor.</font><p> 
+<font face="Times New Roman">Below is shown the default polygon traits.&nbsp; 
+Specialization of these traits is required for types that don't conform to the 
+default behavior.&nbsp; Note that these traits are also used by several other 
+polygon concepts through SFINAE enable template parameter.&nbsp; The SFINAE enable 
+parameter also allows the library to provide default specialization that work 
+for any object that models the 90 degree polygon concepts.</font><p>
+<font face="Courier New">template &lt;typename T, typename enable = gtl_yes&gt;<br>
+struct polygon_traits {};<br>
+<br>
+template &lt;typename T&gt;<br>
+struct polygon_traits&lt;T, <br>
+&nbsp; typename gtl_or_4&lt;<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_concept&gt;::type,<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_45_concept&gt;::type,<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_with_holes_concept&gt;::type,<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_45_with_holes_concept&gt;::type<br>
+&nbsp; &gt;::type&gt; {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::coordinate_type coordinate_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::iterator_type iterator_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::point_type point_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_type begin_points(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_type end_points(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline unsigned int size(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline winding_direction winding(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return unknown_winding;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p><font face="Courier New">template &lt;typename T, typename enable = void&gt;<br>
+struct polygon_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T&amp; set_points(T&amp; t, iT input_begin, iT 
+input_end) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.set(input_begin, 
+input_end);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p>An object that is a model of <font face="Courier New">
+polygon_45_concept</font> can be viewed as a model of any of its 
+refinements if it is determined at runtime to conform to the restriction of 
+those concepts.&nbsp; This concept casting is accomplished through the
+<font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_45_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_90_concept&gt;(polygon_45_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be 
+passed into any interface that expects an object of the conceptual type 
+specified in its template parameter.</p>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>begin_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_45.&nbsp; 
+		Returns the begin iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>end_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_45.&nbsp; 
+		Returns the end iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_points</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_45.&nbsp;&nbsp; 
+		Sets the polygon to the point data range [b,e) that corresponds to 
+		vertices of a polygon.&nbsp; Non-45 edges between successive input 
+		points is disallowed.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		unsigned int <b>size</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Returns the number of edges in the 
+		polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models polygon_45 into left object 
+		that models polygon_45.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models polygon_45 and an object that models 
+		point, returns true 
+		if the polygon contains the point.&nbsp; If the consider_touch 
+		flag is true will return true if the point lies along the boundary of 
+		the polygon.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename T, typename point_type&gt;<br>
+		void <b>center</b>(point_type&amp; p, const T&amp; polygon)</font></td>
+		<td>Sets object that models point to the center point of the bounding 
+		box of an object that models polygon_45.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; bbox, const T&amp; polygon)</font></td>
+		<td>Sets object that models rectangle to the bounding box of an object 
+		that models polygon_45 and returns true.&nbsp; Returns false and leaves 
+		bbox unchanged if polygon is empty.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		area_type <b>area</b>(const T&amp; polygon)</font></td>
+		<td>Returns the area of an object 
+		that models polygon_45.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		direction_1d <b>winding</b>(const T&amp; polygon)</font></td>
+		<td>Returns the winding direction of an object 
+		that models polygon_45, LOW == CLOCKWISE, HIGH = COUNTERCLOCKWISE.&nbsp; 
+		Complexity depends upon winding trait.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_distance <b>perimeter</b>(const T&amp; polygon)</font></td>
+		<td>Returns the perimeter length of an object 
+		that models polygon_45.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename transform_type&gt;<br>
+		T&amp; <b>transform</b>(T&amp; polygon, const transform_type&amp;)</font></td>
+		<td>Applies transform() on the vertices of polygon and sets the polygon to that described by the result of 
+		transforming its vertices.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_up</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales up coordinate of an object that models 
+		polygon_45 by unsigned factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_down</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales down coordinates of an object that models 
+		polygon_45 by unsigned factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, scaling_type&gt;<br>
+		T&amp; <b>scale</b>(T&amp; rectangle, double scaling) </font></td>
+		<td>Scales coordinates of an object that models polygon_45 by floating 
+		point factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>move</b>(T&amp; polygon, orientation_2d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to coordinate indicated by orientation_2d of 
+		vertices of an object that models polygon_45.&nbsp; Linear wrt. 
+		vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename polygon_type, typename point_type&gt;<br>
+		polygon_type&amp; <b>convolve</b>(polygon_type&amp; polygon,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Convolves coordinate values of point with vertices of an 
+		object that models polygon_45.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	</table>
+	<h1>Polygon 45 Data</h1>
+
+<p> 
+<p>The library provides a model of polygon 45 concept declared
+<font face="Courier New">
+template&lt;typename T&gt; polygon_45_data </font>where T is the coordinate type.</p>
+<p>This data type is used internally when a 45-degree polygon is needed and is 
+available to the library user who finds it convenient to use a library polygon 
+data type instead of providing their own.&nbsp; The data type is implemented to 
+be convenient to use with the library traits.</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">polygon_45_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_type</font></b></td>
+		<td>Iterator over vertices point_data&lt;T&gt; vertices of polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_45_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the </font>polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_45_data</b>(const 
+		polygon_45_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_45_data&amp; <b>operator=</b>(const 
+		polygon_45_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b>&nbsp; 
+		<br> </b>polygon_45_data&amp; <b>operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of polygon 45.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>begin</b>() 
+		const</font></td>
+		<td>Get the begin iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>end</b>() 
+		const</font></td>
+		<td>Get the end iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size</b>() const</font></td>
+		<td>Get the number of elements in the sequence stored to the polygon, 
+		usually equal to the number of edges of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set</b>(iT begin_points, iT end_points)</font></td>
+		<td>Sets the polygon to the iterator range of points.&nbsp; No check is 
+		performed to ensure the points describe corners that are multiples of 45 
+		degrees relative to the coordinate axis.</td>
+	</tr>
+</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

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==============================================================================
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+++ trunk/libs/polygon/doc/gtl_polygon_45_set_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,739 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon 45 Set Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon 45 Set Concept</h1>
+
+<p> 
+<p>The polygon_45_set concept tag is <font face="Courier New">
+polygon_45_set_concept</font></p>
+<p> 
+<font face="Times New Roman">The semantic of a polygon_45_set is zero or more 
+geometry regions which have angles at the vertices that are multiples of 
+45-degrees relative to the coordinate axis.&nbsp; A Polygon 45 Set Concept makes 
+no sense in floating point, but currently does not provide a static assert to 
+prevent it from being used with floating point coordinates.&nbsp; The result of 
+such use is undefined.&nbsp; When the intersection of two 45 degree edges 
+results in a vertex that is off the integer grid that case is handled by 
+inserting a unit length edge between the two 45 degree edges near the off grid 
+intersection point.&nbsp; In the case that data represented contains no 
+45-degree angles and is Manhattan a runtime check will default to the Manhattan 
+algorithm.&nbsp; The results of which are identical to what the 45-degree 
+algorithm would do, but obtained more efficiently.</font><p> 
+<font face="Times New Roman">The motivation for providing the polygon_45_set is 
+to extend the special case of Manhattan geometry capability of the library to 
+encompass the slightly less common, but still important special case of geometry 
+that is described by angles that are multiples of 45-degress with respect to the 
+coordinate axis.&nbsp; This simplifies the implementation of geometry algorithms 
+and affords many opportunities for optimization.&nbsp; 45-degree algorithms can 
+be 50X faster than arbitrary angle algorithms and are required to provide a 
+complete feature set that meets the performance requirements of application 
+domains in which Manhattan and 45-degree geometry are a common special case.</font><p>Users are recommended to use std::vector and std::list of user defined polygons 
+or library provided polygon_45_set_data&lt;coordinate_type&gt; objects.&nbsp; Lists 
+and vectors of models of polygon_45_concept or polygon_45_with_holes_concept are automatically models of polygon_45_set_concept.</p>
+<p>An object that is a model of <font face="Courier New">
+polygon_45_set_concept</font> can be viewed as a model of <font face="Courier New">
+polygon_90_set_concept</font> if it is determined at runtime to conform to the 
+restriction that all edges are axis-parallel.&nbsp; This concept casting is 
+accomplished through the <font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;polygon_90_set_concept&gt;(polygon_set_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be passed 
+into any interface that expects an object of the conceptual type specified in 
+its template parameter.&nbsp; Polygon sets cannot be viewed as single polygons 
+or rectangles since it generally cannot be known whether a polygon set contains 
+only a single polygon without converting to polygons.</p>
+<h2>Operators</h2>
+<p>The return type of some operators is the <font face="Courier New">polygon_45_set_view</font> 
+operator template type.&nbsp; This type is itself a model of the polygon 90 set 
+concept, but furthermore can be used as an argument to the <font face="Courier New">polygon_45_set_data</font> 
+constructor and assignment operator.&nbsp; The operator template exists to 
+eliminate temp copies of intermediate results when Boolean operators are chained 
+together.</p>
+<p>Operators are declared inside the namespace <font face="Courier New">boost::polygon::operators</font>.</p>
+<table border="1" width="100%" id="table5">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_45_set_view <b>operator</b>|(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean OR operation (polygon set union).&nbsp; Accepts two objects 
+		that model polygon_45_set or one of its refinements.&nbsp; Returns an 
+		operator template that performs the operation on demand when chained or 
+		or nested in a library function call such as assign().&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_45_set_view <b>operator</b>+(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator|.&nbsp; The plus sign is also used for OR 
+		operations in Boolean logic expressions.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_45_set_view <b>operator</b>&amp;(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean AND operation (polygon set intersection).&nbsp; Accepts two 
+		objects that model polygon_45_set or one of its refinements.&nbsp; O( n 
+		log n) runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_45_set_view <b>operator</b>*(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator&amp;.&nbsp; The multiplication symbol is also used for 
+		AND operations in Boolean logic expressions.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_45_set_view <b>operator</b>^(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean XOR operation (polygon set disjoint-union).&nbsp; Accepts 
+		two objects that model polygon_45_set or one of its refinements.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_45_set_view <b>operator</b>-(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean SUBTRACT operation (polygon set difference).&nbsp; Accepts 
+		two objects that model polygon_45_set or one of its refinements.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>|=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator|, but with self assignment, left operand must model 
+		polygon_45_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>+=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator+, but with self assignment, left operand must model 
+		polygon_45_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>&amp;=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator&amp;, but with self assignment, left operand must model 
+		polygon_45_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>*=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator*, but with self assignment, left operand must model 
+		polygon_45_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>^=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator^, but with self assignment, left operand must model 
+		polygon_45_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>-=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator-, but with self assignment, left operand must model 
+		polygon_45_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1&gt;<br>
+		T1 <b>operator</b>+(const T1&amp;, coordinate_type bloating)</font></td>
+		<td>Performs resize operation, inflating by bloating ammount.&nbsp; If 
+		negative the result is a shrink instead of bloat.&nbsp; Note: returns 
+		result by value.&nbsp; O( n log n) runtime complexity and O(n) memory 
+		wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1 <b>operator</b>-(const T1&amp;, coordinate_type shrinking)</font></td>
+		<td>Performs resize operation, deflating by bloating ammount.&nbsp; If 
+		negative the result is a bloat instead of shrink.&nbsp; Note: returns 
+		result by value.&nbsp; O( n log n) runtime complexity and O(n) memory 
+		wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>+=(const T1&amp;, coordinate_type bloating)</font></td>
+		<td>Performs resize operation, inflating by bloating ammount.&nbsp; If 
+		negative the result is a shrink instead of bloat.&nbsp; Returns 
+		reference to modified argument.&nbsp; O( n log n) runtime complexity and 
+		O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>-=(const T1&amp;, coordinate_type shrinking)</font></td>
+		<td>Performs resize operation, deflating by bloating ammount.&nbsp; If 
+		negative the result is a bloat instead of shrink.&nbsp; Returns 
+		reference to modified argument.&nbsp; O( n log n) runtime complexity and 
+		O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	</table>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table3">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; lvalue, const T2&amp; rvalue)</font></td>
+		<td>Eliminates overlaps in geometry and copies from an object that 
+		models polygon_45_set or any of its refinements into an object that 
+		models polygon_45_set.&nbsp; O( n log n) runtime complexity and O(n) 
+		memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>equivalence</b>(const T1&amp; lvalue, const T2&amp; rvalue) </font></td>
+		<td>Returns true if an object that models polygon_45_set or one of its 
+		refinements covers the exact same geometric regions as another object 
+		that models polygon_45_set or one of its refinements.&nbsp; For example: 
+		two of polygon_45 objects.&nbsp; O( n log n) runtime complexity and O(n) 
+		memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		output_container_type, typename T&gt;<br>
+		void <b>get_trapezoids</b>(output_container_type&amp; output, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T&amp; polygon_set)</font></td>
+		<td>Output container is expected to be a standard container.&nbsp; 
+		Slices geometry of an object that models polygon_45_set or one of its 
+		refinements into non overlapping trapezoids along a vertical slicing 
+		orientation and appends them to the 
+		output, which must have a value type that models polygon_45, 
+		polygon_45_with_holes, polygon or polygon_with_holes.&nbsp;&nbsp; O( n 
+		log n) runtime complexity and O(n) memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		output_container_type, typename T&gt;<br>
+		void <b>get_trapezoids</b>(output_container_type&amp; output, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T&amp; polygon_set,<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d orient)</font></td>
+		<td>Output container is expected to be a standard container.&nbsp; 
+		Slices geometry of an object that models polygon_45_set or one of its 
+		refinements into non overlapping trapezoids along a the specified slicing 
+		orientation and appends them to the 
+		output, which must have a value type that models polygon_45, 
+		polygon_45_with_holes, polygon or polygon_with_holes.&nbsp;&nbsp; O( n 
+		log n) runtime complexity and O(n) memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		polygon_set_type&gt;<br>
+		void <b>clear</b>(polygon_set_type&amp; polygon_set)</font></td>
+		<td>Makes the object empty of geometry.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		polygon_set_type&gt;<br>
+		bool <b>empty</b>(const polygon_set_type&amp; polygon_set)</font></td>
+		<td>Checks whether the object is empty of geometry.&nbsp; Polygons that 
+		are completely covered by holes will result in empty returning true.&nbsp;&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; extents_rectangle, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const 
+		T&amp; polygon_set)</font></td>
+		<td>Computes bounding box of an object that models polygon_45_set and 
+		stores it in an object that models rectangle.&nbsp; If the polygon set 
+		is empty returns false.&nbsp; If there are holes outside of shells they 
+		do not contribute to the extents of the polygon set.&nbsp;&nbsp; O( n 
+		log n) runtime complexity and O(n) memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		area_type <b>area</b>(const T&amp; polygon_set)</font></td>
+		<td>Computes the area covered by geometry in an object that models 
+		polygon_45_set.&nbsp;&nbsp; O( n log n) runtime complexity and O(n) 
+		memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>interact</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Given an object that models polygon_45_set and an object that models 
+		polygon_45_set or one of its refinements, modifies a to retain only 
+		regions that overlap or touch regions in b.&nbsp;&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices plus intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>self_intersect</b>(T&amp; polygon_set)</font></td>
+		<td>Given an object that models polygon_45_set that has self overlapping 
+		regions, modifies the argument to contain only the regions of overlap.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>self_xor</b>(T&amp; polygon_set)</font></td>
+		<td>Given an object that models polygon_45_set that has self overlapping 
+		regions, modifies the argument to contain only the regions that do not 
+		overlap.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; polygon_set, unsigned_area_type bloating)</font></td>
+		<td>Same as getting all the polygons, bloating them and putting them 
+		back.&nbsp; O( n log n) runtime complexity and O(n) memory wrt vertices 
+		+ intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; polygon_set, unsigned_area_type shrinking)</font></td>
+		<td>Same as getting all the polygons, shrinking them and overwriting 
+		the polygon set with the resulting regions.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coord_type&gt;<br>
+		T&amp; <b>resize</b>(T&amp; polygon_set, coord_type resizing,<br> 
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		RoundingOption rounding = CLOSEST, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; CornerOption corner = INTERSECTION)</font></td>
+		<td>Same as bloat if resizing is positive, same as shrink if resizing is 
+		negative.&nbsp; RoundingOption is an enum that controls snapping of 
+		non-integer results of resizing 45 degree edges.&nbsp; CornerOption is 
+		an enum that controls how corner filling is performed.&nbsp; 
+		polygon_45_set_data.hpp defines these enums.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>grow_and</b>(T&amp; polygon_set, unsigned_area_type bloating)</font></td>
+		<td>Same as bloating non-overlapping regions and then applying self 
+		intersect to retain only the overlaps introduced by the bloat.&nbsp; O( 
+		n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>scale_up</b>(T&amp; polygon_set, unsigned_area_type factor)</font></td>
+		<td>Scales geometry up by unsigned factor.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>scale_down</b>(T&amp; polygon_set, unsigned_area_type factor)</font></td>
+		<td>Scales geometry down by unsigned factor.&nbsp; Snaps 45 degree edges 
+		back to 45 degrees after division truncation leads to small changes in 
+		angle.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename scaling_type&gt;<br>
+T&amp; <b>scale</b>(polygon_set_type&amp; polygon_set, double scaling)</font></td>
+		<td>Scales geometry by multiplying by floating point factor.&nbsp;&nbsp; 
+		Snaps 45 degree edges back to 45 degrees after truncation of fractional 
+		results of multiply leads to small changes in angle.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename transformation_type&gt;<br>
+T&amp; <b>transform</b>(T&amp; polygon_set,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const 
+transformation_type&amp; transformation)</font></td>
+		<td>Applies transformation.transform() on all vertices.&nbsp; O( n log 
+		n) runtime complexity and O(n) memory wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>keep</b>(T&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_area,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_area,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_width,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_width,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_height,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_height)</font></td>
+		<td>Retains only regions that satisfy the min/max criteria in the 
+		argument list.&nbsp; Note: useful for visualization to cull too small 
+		polygons.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices.</td>
+	</tr>
+	</table>
+	<h1>Polygon 45 Set Data Object</h1>
+
+<p> 
+<p>The polygon 45 set data type encapsulates the internal data format that 
+serves as the input to the sweep-line algorithm that implements polygon-clipping 
+Boolean operations.&nbsp; It also internally keeps track of whether that data 
+has been sorted or scanned and maintains the invariant that when its flags 
+indicate that the data is sorted or scanned the data has not been changed to 
+violate that assumption.&nbsp; Using the Polygon 45 Set Data type directly can 
+be more efficient than using lists and vectors of polygons in the functions 
+above because of the invariants it can enforce which provide the opportunity to 
+maintain the data is sorted form rather than going all the way out to polygons 
+then resorting those vertices for a subsequent operation.</p>
+<p>The declaration of Polygon 45 Set Data is the following:</p>
+<p><font face="Courier New">template &lt;typename T&gt;<br>
+class polygon_45_set_data;</font></p>
+<p>The class is parameterized on the coordinate data type.&nbsp; Algorithms that 
+benefit from knowledge of the invariants enforced by the class are implemented 
+as member functions to provide them access to information about those 
+invariants.&nbsp; </p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table4">
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_45_set_data</b>()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<br>
+	<b>polygon_45_set_data</b>(iT input_begin, iT 
+	input_end)</font></td>
+		<td>Construct from an iterator range of 
+		insertable objects.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+	<b>polygon_45_set_data</b>(const polygon_45_set_data&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">template &lt;typename l, typename r, typename op&gt;<br>
+<b>polygon_45_set_data</b>(const polygon_45_set_view&lt;l,r,op&gt;&amp; 
+t)</font></td>
+		<td>Copy construct from a Boolean operator template.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">polygon_45_set_data&amp; <br><b>operator=</b>(const polygon_45_set_data&amp; that)</font></td>
+		<td>Assignment from another polygon set, may change scanning 
+		orientation.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">template &lt;typename l, typename r, typename op&gt;<br>
+polygon_45_set_data&amp; <br><b>operator=</b>(const polygon_45_set_view&lt;l, r, 
+op&gt;&amp; that)</font></td>
+		<td>Assignment from a Boolean operator template.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename geometry_object&gt;<br>
+polygon_45_set_data&amp; <b>operator=</b>(const geometry_object&amp; geo)</font></td>
+		<td>Assignment from an insertable object.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename iT&gt;<br>
+void <b>insert</b>(iT input_begin, iT input_end, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; bool is_hole = false)</font></td>
+		<td>Insert objects of an iterator range.&nbsp; If is_hole is true 
+		inserts subtractive regions.&nbsp; Linear wrt the number of vertices 
+		added.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+void <b>insert</b>(const polygon_45_set_data&amp; polygon_set, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; bool is_hole 
+= false)</font></td>
+		<td>Insert a polygon set.&nbsp; Linear wrt the number of vertices added.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename geometry_type&gt;<br>
+void <b>insert</b>(const geometry_type&amp; geometry_object, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; bool is_hole 
+= false)</font></td>
+		<td>Insert a geometry object, if is_hole is true then the inserted 
+		region is subtractive rather than additive.&nbsp; Linear wrt the number 
+		of vertices added.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of geometry objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Converts polygon set geometry to objects 
+		of that type and appends them to the container.&nbsp; Polygons will be 
+		output with counterclockwise winding, hole polygons will be output with 
+		clockwise winding.&nbsp; The last vertex of an output polygon is not the 
+		duplicate of the first, and the number of points is equal to the number 
+		of edges.&nbsp; O(n log n) runtime and O(n) memory wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_polygons</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of polygon objects.&nbsp; Will scan and 
+		eliminate overlaps.&nbsp; Converts polygon set geometry to polygons and 
+		appends them to the container.&nbsp; Polygons will have holes fractured 
+		out to the outer boundary along the positive y direction.&nbsp; O(n log 
+		n) runtime and O(n) memory wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_polygons_with_holes</b>(output_container&amp; o) const</font></td>
+		<td>Expects a standard container of polygon with holes objects.&nbsp; Will scan and 
+		eliminate overlaps.&nbsp; Converts polygon set geometry to polygons and 
+		appends them to the container.&nbsp; O(n log n) runtime and O(n) memory 
+		wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_trapezoids</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of polygon objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Slices polygon set geometry to trapezoids 
+		vertically and appends them to the container.&nbsp; O(n log n) runtime 
+		and O(n) memory wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_trapezoids</b>(output_container&amp; output, <br>&nbsp; orientation_2d 
+slicing_orientation) const </font>
+		</td>
+		<td>Expects a standard container of polygon objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Slices polygon set geometry to trapezoids 
+		along the given orientation and appends them to the container.&nbsp; O(n 
+		log n) runtime and O(n) memory wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+bool <b>operator==</b>(const polygon_45_set_data&amp; p) const</font></td>
+		<td>Once scanned the data representation of geometry within a polygon 
+		set is in a mathematically canonical form.&nbsp; Comparison between two 
+		sets is therefore a linear time operation once they are in the scanned 
+		state. Will scan and eliminate overlaps in both polygon sets.&nbsp; O(n 
+		log n) runtime and O(n) memory wrt. vertices + intersections the first 
+		time and linear runtime and constant memory subsequently.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+bool <b>operator!=</b>(const polygon_45_set_data&amp; p) const</font></td>
+		<td>Inverse logic of equivalence operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>clear</b>()</font></td>
+		<td>Make the polygon set empty.&nbsp; Note: does not de-allocate memory.&nbsp; 
+		Use shrink to fit idiom and assign default constructed polygon set to 
+		de-allocate.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">bool <b>empty</b>() const </font>
+		</td>
+		<td>Check whether the polygon set contains no geometry.&nbsp; Will scan 
+		and eliminate overlaps because subtractive regions might make the 
+		polygon set empty.&nbsp; O(n log n) runtime and O(n) memory wrt. 
+		vertices + intersections the first time and linear runtime and constant 
+		memory subsequently.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">bool <b>is_manhattan</b>() 
+		const</font></td>
+		<td>Returns in constant time the information about whether the geometry 
+		contains only Manhattan (axis-parallel rectilinear) edges.&nbsp; 
+		Constant time.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>clean</b>() const</font></td>
+		<td>Scan and eliminate overlaps.&nbsp; O(n log n) runtime and O(n) 
+		memory wrt. vertices + intersections the first time and linear runtime 
+		and constant memory subsequently.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename input_iterator_type&gt;<br>
+void <b>set</b>(input_iterator_type input_begin, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; input_iterator_type input_end) </font>
+		</td>
+		<td>Overwrite geometry in polygon set with insertable objects in the 
+		iterator range.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename rectangle_type&gt;<br>
+bool <b>extents</b>(rectangle_type&amp; extents_rectangle) const</font></td>
+		<td>Given an object that models rectangle, scans and eliminates overlaps 
+		in the polygon set because subtractive regions may alter its extents 
+		then computes the bounding box and assigns it to extents_rectangle.&nbsp; 
+		O(n log n) runtime and O(n) memory wrt. vertices the first time and 
+		linear runtime and constant memory subsequently.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_45_set_data&amp;<br>
+<b>resize</b>(coord_type resizing,<br> 
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; RoundingOption rounding = CLOSEST, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; CornerOption 
+		corner = INTERSECTION)</font></td>
+		<td>Same as bloat if resizing is positive, same as shrink if resizing is 
+		negative.&nbsp; RoundingOption is an enum that controls snapping of 
+		non-integer results of resizing 45 degree edges.&nbsp; CornerOption is 
+		an enum that controls how corner filling is performed.&nbsp; 
+		polygon_45_set_data.hpp defines these enums.&nbsp; O(n log n) runtime 
+		and O(n) memory wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename transformation_type&gt;<br>
+polygon_45_set_data&amp; <br><b>transform</b>(const transformation_type&amp; transformation) </font>
+		</td>
+		<td>Applies transformation.transform() on vertices stored within the 
+		polygon set.&nbsp; O(n log n) runtime and O(n) memory wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_45_set_data&amp; <b>scale_up</b>(unsigned_area_type factor)</font></td>
+		<td>Scales vertices stored within the polygon set up by factor.&nbsp; 
+		Linear wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">polygon_45_set_data&amp; <b>scale_down</b>(unsigned_area_type 
+factor)</font>&nbsp;</td>
+		<td>Scales vertices stored within the polygon set down by factor.&nbsp; 
+		Linear wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_45_set_data&amp; <b>scale</b>(double factor) </font></td>
+		<td>Scales vertices stored within the polygon set by floating point 
+		factor.&nbsp; Linear wrt vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_45_set_data&amp; <b>self_xor</b>()</font></td>
+		<td>Retain only non-overlapping regions of geometry within polygon set.&nbsp; 
+		O(n log n) runtime and O(n) memory wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_45_set_data&amp; <b>self_intersect</b>()</font></td>
+		<td>Retain only overlapping regions of geometry within a polygon set.&nbsp; 
+		O(n log n) runtime and O(n) memory wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">bool <b>has_error_data</b>() 
+		const </font></td>
+		<td>Returns true if non-integer intersections resulted in small 
+		artifacts in the output of a boolean.&nbsp; Constant time.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>error_count</b>() 
+		const</font></td>
+		<td>Returns the number of artifacts that may potentially be present in 
+		the output due to non-integer intersections.&nbsp; Constant time.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>get_error_data</b>(polygon_45_set_data&amp; 
+		p) const</font></td>
+		<td>Populates the input polygon set with 1x1 unit squares that bound the 
+		error that may be present in the output due to non-integer 
+		intersections.&nbsp; Linear wrt. vertices of error data.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_45_set_data&amp; <b>self_intersect</b>()</font></td>
+		<td>Retain only overlapping regions of geometry within a polygon set.&nbsp; 
+		O(n log n) runtime and O(n) memory wrt. vertices + intersections.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table6">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_polygon_45_with_holes_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_45_with_holes_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,399 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon 45 With Holes Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon 45 With Holes Concept</h1>
+
+<p> 
+<p>The polygon_45_with_holes concept tag is <font face="Courier New">
+polygon_45_with_holes_concept</font></p>
+<p> 
+To register a user defined type as a model of  
+<font face="Times New Roman">polygon_45_with_holes </font>concept, specialize 
+the geometry concept meta-function for that type.&nbsp; In the example below 
+CPolygon45WithHoles is registered as a model of polygon<font face="Times New Roman">_45_with_holes&nbsp;</font> concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPolygon45WithHoles&gt; { typedef polygon_45_with_holes_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a polygon_45_with_holes is a 
+polygon_45 that it can provide iterators over holes that are also polygon_45.&nbsp; 
+A mutable polygon_45_with_holes must also be able to set its geometry based on 
+an interator range over polygon_45 holes.&nbsp; There is no convention of 
+winding of holes enforced within the library. </font><p> 
+<font face="Times New Roman">Below is shown the default polygon with holes 
+traits.&nbsp; Specialization of these traits is required for types that don't 
+conform to the default behavior.</font><p><font face="Courier New">template &lt;typename 
+T, typename enable = void&gt;<br>
+struct polygon_with_holes_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::iterator_holes_type 
+iterator_holes_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::hole_type hole_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type begin_holes(const T&amp; 
+t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type end_holes(const T&amp; t) 
+{<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline unsigned int size_holes(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p><font face="Courier New">template &lt;typename T, typename enable = void&gt;<br>
+struct polygon_with_holes_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T&amp; set_holes(T&amp; t, iT inputBegin, iT 
+inputEnd) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.set_holes(inputBegin, 
+inputEnd);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p>An object that is a model of <font face="Courier New">
+polygon_45_with_holes_concept</font> can be viewed as a model of any of its 
+refinements if it is determined at runtime to conform to the restriction of 
+those concepts.&nbsp; This concept casting is accomplished through the
+<font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_45_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_90_concept&gt;(polygon_45_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_90_with_holes_concept&gt;(polygon_45_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_45_concept&gt;(polygon_45_with_holes_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be 
+passed into any interface that expects an object of the conceptual type 
+specified in its template parameter. </p>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>begin_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_45_with_holes.&nbsp; 
+		Returns the begin iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>end_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_45_with_holes.&nbsp; 
+		Returns the end iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		hole_iterator_type <b>begin_holes</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_45_with_holes.&nbsp; 
+		Returns the begin iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		hole_iterator_type <b>end_holes</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_45_with_holes.&nbsp; 
+		Returns the end iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_points</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_45_with_holes.&nbsp;&nbsp; 
+		Sets the polygon to the point data range [b,e) that corresponds to 
+		vertices of a polygon.&nbsp; </font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_holes</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_45_with_holes.&nbsp;&nbsp; 
+		Sets the polygon holes to the hole data range [b,e)</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		unsigned int <b>size</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Returns the number of edges in the 
+		outer shell of the polygon_45_with_holes.&nbsp; Does not include sizes 
+		of the holes.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models polygon_45_with_holes or 
+		one of its refinements into left object 
+		that models polygon_45_with_holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models polygon_45_with_holes and an object that models 
+		point, returns true 
+		if the polygon shell contains the point and one of its holes does not 
+		contain the point.&nbsp; If the consider_touch 
+		flag is true will return true if the point lies along the boundary of 
+		the polygon or one of its holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename T, typename point_type&gt;<br>
+		void <b>center</b>(point_type&amp; p, const T&amp; polygon)</font></td>
+		<td>Sets object that models point to the center point of the bounding 
+		box of an object that models polygon_45_with_holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; bbox, const T&amp; polygon)</font></td>
+		<td>Sets object that models rectangle to the bounding box of an object 
+		that models polygon_45_with_holes and returns true.&nbsp; Returns false 
+		and leaves bbox unchanged if polygon is empty.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		manhattan_area_type <b>area</b>(const T&amp; polygon)</font></td>
+		<td>Returns the area of an object 
+		that models polygon_45_with_holes including subtracting the area of its 
+		holes from the area of the outer shell polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		direction_1d <b>winding</b>(const T&amp; polygon)</font></td>
+		<td>Returns the winding direction of an object 
+		that models polygon_45_with_holes, LOW == CLOCKWISE, HIGH = 
+		COUNTERCLOCKWISE.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>perimeter</b>(const T&amp; polygon)</font></td>
+		<td>Returns the perimeter length of an object 
+		that models polygon_45, including the perimeters of the holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename transform_type&gt;<br>
+		T&amp; <b>transform</b>(T&amp; polygon, const transform_type&amp;)</font></td>
+		<td>Applies transform() on the vertices of polygon and sets the polygon to that described by the result of 
+		transforming its vertices.&nbsp; Also applies transform() on the holes 
+		of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_up</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales up outer shell and holes of an object that models 
+		polygon_45 by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_down</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales down outer shell and holes of an object that models 
+		polygon_45 by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, scaling_type&gt;<br>
+		T&amp; <b>scale</b>(T&amp; rectangle, double scaling) </font></td>
+		<td>Scales outer shell and holes of an object that models polygon_45 by 
+		floating point factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>move</b>(T&amp; polygon, orientation_2d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to coordinate indicated by orientation_2d of 
+		vertices of an object that models polygon_45 .</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename polygon_type, typename point_type&gt;<br>
+		polygon_type&amp; <b>convolve</b>(polygon_type&amp; polygon,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Convolves coordinate values of point with the outer shell and holes of an 
+		object that models polygon_45_with_holes.</td>
+	</tr>
+	</table>
+	<h1>Polygon 45 With Holes Data</h1>
+
+<p> 
+<p>The library provides a model of polygon 45 with holes concept declared
+<font face="Courier New">
+template&lt;typename T&gt; polygon_45_with_holes_data </font>where T is the 
+coordinate type.</p>
+<p>This data type is used internally when a 45 degree polygon with holes is 
+needed and is available to the library user who finds it convenient to use a 
+library polygon data type instead of providing their own.&nbsp; The data type is 
+implemented to be convenient to use with the library traits.</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">polygon_45_with_holes_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_type</font></b></td>
+		<td>Iterator over vertices point_data&lt;T&gt; vertices of polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_holes_type</font></b></td>
+		<td><font face="Times New Roman">Iterator over hole polygons of type 
+		polygon_45_data&lt;T&gt;.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_45_with_holes_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the </font>polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_45_with_holes_data</b>(const 
+		polygon_45_with_holes_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_45_with_holes_data&amp; <b>
+		<br>operator=</b>(const polygon_45_with_holes_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> </b>
+		polygon_45_with_holes_data&amp;<b>&nbsp; 
+		<br> operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of polygon 45 with holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>begin</b>() 
+		const</font></td>
+		<td>Get the begin iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>end</b>() 
+		const</font></td>
+		<td>Get the end iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_hole_type <b>begin_holes</b>() 
+		const</font></td>
+		<td>Get the begin compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_hole_type <b>end_holes</b>() 
+		const</font></td>
+		<td>Get the end compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size</b>() const</font></td>
+		<td>Get the number of elements in the sequence stored to the polygon, 
+		usually equal to the number of edges of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size_holes</b>() const</font></td>
+		<td>Get the number of holes in the polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set</b>(iT begin_points, iT end_points)</font></td>
+		<td>Sets the polygon to the iterator range of points.&nbsp; No check is 
+		performed to ensure the points describe a 45 degree figure.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set_holes</b>(iT begin_holes, iT end_choless)</font></td>
+		<td>Sets the polygon holes the iterator range of hole polygons.&nbsp; These 
+		polygons in the input range may be either polygon_45_data or 
+		polygon_45_with_holes_data or any type that provides begin and end 
+		member functions to iterate over point_data&lt;T&gt;.</td>
+	</tr>
+</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_polygon_90_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_90_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,395 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon 90 Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon 90 Concept</h1>
+
+<p> 
+<p>The polygon_90 concept tag is <font face="Courier New">
+polygon_90_concept</font></p>
+<p> 
+To register a user defined type as a model of  
+<font face="Times New Roman">polygon_90 </font>concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below CPolygon90 is registered as a model of 
+polygon_90&nbsp; concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPolygon90&gt; { typedef polygon_90_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a polygon_90 is that it can provide 
+iterators over the x and y coordinates that correspond to its horizontal and 
+vertical sides, starting with an x coordinate.&nbsp; A mutable polygon_90 must 
+also be able to set its geometry based on an interator range over such 
+coordinates.&nbsp; Since most polygons use vertex points in internal storage 
+iterator adaptors for converting to and from point sequences are provided in 
+iterator_points_to_compact.hpp and iterator_compact_to_points.hpp to aid in the 
+specialization of polygon_90_traits.&nbsp; A std::vector&lt;int&gt; or std::list&lt;int&gt; 
+could be made models of polygon_90_concept by simply providing access to their 
+iterators through traits.&nbsp; Library functions that create polygon objects 
+require that those objects provide a default constructor.</font><p> 
+<font face="Times New Roman">Below is shown the default polygon traits.&nbsp; 
+Specialization of these traits is required for types that don't conform to the 
+default behavior.&nbsp; Note that these traits are also used by the 
+polygon_90_with_holes concept.</font><p><font face="Courier New">template &lt;typename 
+T&gt;<br>
+struct polygon_90_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::coordinate_type coordinate_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::compact_iterator_type 
+compact_iterator_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline compact_iterator_type begin_compact(const 
+T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin_compact();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline compact_iterator_type end_compact(const 
+T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end_compact();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline unsigned int size(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline winding_direction winding(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return unknown_winding;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p><font face="Courier New">template &lt;typename T&gt;<br>
+struct polygon_90_mutable_traits { <br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T&amp; set_compact(T&amp; t, iT input_begin, iT 
+input_end) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.set_compact(input_begin, 
+input_end);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }</font><br>
+<font face="Courier New">};</font></p>
+<p>An object that is a model of <font face="Courier New">
+polygon_90_concept</font> can be viewed as a model of any of its 
+refinements if it is determined at runtime to conform to the restriction of 
+those concepts.&nbsp; This concept casting is accomplished through the
+<font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_90_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be 
+passed into any interface that expects an object of the conceptual type 
+specified in its template parameter.</p>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		compact_iterator_type <b>begin_compact</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp; 
+		Returns the begin iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		compact_iterator_type <b>end_compact</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp; 
+		Returns the end iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>begin_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp; 
+		Returns the begin iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>end_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp; 
+		Returns the end iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_compact</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp;&nbsp; 
+		Sets the polygon to the coordinate data range [b,e) that corresponds to 
+		.horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_points</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp;&nbsp; 
+		Sets the polygon to the point data range [b,e) that corresponds to 
+		vertices of a manhattan polygon.&nbsp; Non-manhattan edges between 
+		successive input points results in undefined behavior.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		unsigned int <b>size</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Returns the number of edges in the 
+		polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models polygon_90 into left object 
+		that models polygon_90.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models polygon_90 and an object that models 
+		point, returns true 
+		if the polygon contains the point.&nbsp; If the consider_touch 
+		flag is true will return true if the point lies along the boundary of 
+		the polygon.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename T, typename point_type&gt;<br>
+		void <b>center</b>(point_type&amp; p, const T&amp; polygon)</font></td>
+		<td>Sets object that models point to the center point of the bounding 
+		box of an object that models polygon_90.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; bbox, const T&amp; polygon)</font></td>
+		<td>Sets object that models rectangle to the bounding box of an object 
+		that models polygon_90 and returns true.&nbsp; Returns false and leaves 
+		bbox unchanged if polygon is empty.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		manhattan_area_type <b>area</b>(const T&amp; polygon)</font></td>
+		<td>Returns the area of an object 
+		that models polygon_90.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		direction_1d <b>winding</b>(const T&amp; polygon)</font></td>
+		<td>Returns the winding direction of an object 
+		that models polygon_90, LOW == CLOCKWISE, HIGH = COUNTERCLOCKWISE.&nbsp; 
+		Complexity depends upon winding trait.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>perimeter</b>(const T&amp; polygon)</font></td>
+		<td>Returns the perimeter length of an object 
+		that models polygon_90.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename transform_type&gt;<br>
+		T&amp; <b>transform</b>(T&amp; polygon, const transform_type&amp;)</font></td>
+		<td>Applies transform() on the vertices of polygon and sets the polygon to that described by the result of 
+		transforming its vertices.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_up</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales up coordinate of an object that models 
+		polygon_90 by unsigned factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_down</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales down coordinates of an object that models 
+		polygon_90 by unsigned factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, scaling_type&gt;<br>
+		T&amp; <b>scale</b>(T&amp; rectangle, double scaling) </font></td>
+		<td>Scales coordinates of an object that models polygon_90 by floating 
+		point factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>move</b>(T&amp; polygon, orientation_2d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to coordinate indicated by orientation_2d of 
+		vertices of an object that models polygon_90 .&nbsp; Linear wrt. 
+		vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename polygon_type, typename point_type&gt;<br>
+		polygon_type&amp; <b>convolve</b>(polygon_type&amp; polygon,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Convolves coordinate values of point with vertices of an 
+		object that models polygon_90.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	</table>
+	<h1>Polygon 90 Data</h1>
+
+<p> 
+<p>The library provides a model of polygon 90 concept declared
+<font face="Courier New">
+template&lt;typename T&gt; polygon_90_data </font>where T is the coordinate type.</p>
+<p>This data type is used internally when a Manhattan polygon is needed and is 
+available to the library user who finds it convenient to use a library polygon 
+data type instead of providing their own.&nbsp; The data type is implemented to 
+be convenient to use with the library traits.</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">polygon_90_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_type</font></b></td>
+		<td>Iterator over vertices point_data&lt;T&gt; vertices of polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">compact_iterator_type</font></b></td>
+		<td><font face="Times New Roman">Iterator over non-redundant coordinates 
+		of the polygon, alternating x, y, x, y starting with an x, where each x 
+		corresponds to a vertical edge and each y corresponds to a horizontal 
+		edge.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_90_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the </font>polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_90_data</b>(const 
+		polygon_90_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_90_data&amp; <b>operator=</b>(const 
+		polygon_90_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b>&nbsp; 
+		<br> </b>polygon_90_data&amp; <b>operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of polygon 90.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>begin</b>() 
+		const</font></td>
+		<td>Get the begin iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>end</b>() 
+		const</font></td>
+		<td>Get the end iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">compact_iterator_type <b>
+		begin_compact</b>() const</font></td>
+		<td>Get the begin compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">compact_iterator_type <b>
+		end_compact</b>() const</font></td>
+		<td>Get the end compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size</b>() const</font></td>
+		<td>Get the number of elements in the sequence stored to the polygon, 
+		usually equal to the number of edges of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set</b>(iT begin_points, iT end_points)</font></td>
+		<td>Sets the polygon to the iterator range of points.&nbsp; No check is 
+		performed to ensure the points describe a Manhattan figure, every other 
+		x and y value of the points is used to initialize the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set_compact</b>(iT begin_coords, iT end_coords)</font></td>
+		<td>Sets the polygon to the iterator range of coordinates.&nbsp; These 
+		coordinates correspond to the x values of vertical edges and y values of 
+		horizontal edges.&nbsp; It is expected that the sequence start with an x 
+		value and proceed x then y then x then y.</td>
+	</tr>
+</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_polygon_90_set_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_90_set_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,901 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon 90 Set Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon 90 Set Concept</h1>
+
+<p> 
+<p>The polygon_90_set concept tag is <font face="Courier New">
+polygon_90_set_concept</font></p>
+<p> 
+<font face="Times New Roman">The semantic of a polygon_90_set is zero or more 
+Manhattan geometry regions.</font><p> 
+<font face="Times New Roman">The motivation for providing the 
+polygon_90_set_concept is that it is a very common special case of planar 
+geometry which afford the implementation of a variety of optimizations on the 
+general planar geometry algorithms.&nbsp; Manhattan geometry processing by the 
+polygon_90_set_concept can be 100X faster than arbitrary angle polygon 
+manipulation.&nbsp; Because the performance benefits are so large and the 
+special case is important enough, the library provides these performance 
+benefits for those application domains that require them.</font><p>Users are recommended to use std::vector and std::list of user defined polygons 
+or library provided polygon_90_set_data&lt;coordinate_type&gt; objects.&nbsp; Lists 
+and vectors of models of polygon_90_concept or polygon_90_with_holes_concept or 
+rectangle_concept are automatically models of polygon_90_set_concept.</p>
+<h2>Operators</h2>
+<p>The return type of some operators is the <font face="Courier New">polygon_90_set_view</font> 
+operator template type.&nbsp; This type is itself a model of the polygon_90_set 
+concept, but furthermore can be used as an argument to the <font face="Courier New">polygon_90_set_data</font> 
+constructor and assignment operator.&nbsp; The operator template exists to 
+eliminate temp copies of intermediate results when Boolean operators are chained 
+together.</p>
+<p>Operators are declared inside the namespace <font face="Courier New">boost::polygon::operators</font>.</p>
+<table border="1" width="100%" id="table3">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_90_set_view <b>operator</b>|(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean OR operation (polygon set union).&nbsp; Accepts two objects 
+		that model polygon_90_set or one of its refinements.&nbsp; Returns an 
+		operator template that performs the operation on demand when chained or 
+		or nested in a library function call such as assign().&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_90_set_view <b>operator</b>+(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator|.&nbsp; The plus sign is also used for OR 
+		operations in Boolean logic expressions.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_90_set_view <b>operator</b>&amp;(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean AND operation (polygon set intersection).&nbsp; Accepts two 
+		objects that model polygon_90_set or one of its refinements.&nbsp; O( n 
+		log n) runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_90_set_view <b>operator</b>*(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator&amp;.&nbsp; The multiplication symbol is also used for 
+		AND operations in Boolean logic expressions.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_90_set_view <b>operator</b>^(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean XOR operation (polygon set disjoint-union).&nbsp; Accepts 
+		two objects that model polygon_90_set or one of its refinements.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_90_set_view <b>operator</b>-(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean SUBTRACT operation (polygon set difference).&nbsp; Accepts 
+		two objects that model polygon_90_set or one of its refinements.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>|=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator|, but with self assignment, left operand must model 
+		polygon_90_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>+=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator+, but with self assignment, left operand must model 
+		polygon_90_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>&amp;=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator&amp;, but with self assignment, left operand must model 
+		polygon_90_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>*=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator*, but with self assignment, left operand must model 
+		polygon_90_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>^=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator^, but with self assignment, left operand must model 
+		polygon_90_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>-=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator-, but with self assignment, left operand must model 
+		polygon_90_set and not one of it's refinements.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1&gt;<br>
+		T1 <b>operator</b>+(const T1&amp;, coordinate_type bloating)</font></td>
+		<td>Performs resize operation, inflating by bloating ammount.&nbsp; If 
+		negative the result is a shrink instead of bloat.&nbsp; Note: returns 
+		result by value.&nbsp; O( n log n) runtime complexity and O(n) memory 
+		wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1 <b>operator</b>-(const T1&amp;, coordinate_type shrinking)</font></td>
+		<td>Performs resize operation, deflating by bloating ammount.&nbsp; If 
+		negative the result is a bloat instead of shrink.&nbsp; Note: returns 
+		result by value.&nbsp; O( n log n) runtime complexity and O(n) memory 
+		wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>+=(const T1&amp;, coordinate_type bloating)</font></td>
+		<td>Performs resize operation, inflating by bloating ammount.&nbsp; If 
+		negative the result is a shrink instead of bloat.&nbsp; Returns 
+		reference to modified argument.&nbsp; O( n log n) runtime complexity and 
+		O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>-=(const T1&amp;, coordinate_type shrinking)</font></td>
+		<td>Performs resize operation, deflating by bloating ammount.&nbsp; If 
+		negative the result is a bloat instead of shrink.&nbsp; Returns 
+		reference to modified argument.&nbsp; O( n log n) runtime complexity and 
+		O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	</table>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; lvalue, const T2&amp; rvalue)</font></td>
+		<td>Eliminates overlaps in geometry and copies from an object that 
+		models polygon_90_set or any of its refinements into an object that 
+		models polygon_90_set.&nbsp; O( n log n) runtime complexity and O(n) 
+		memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>equivalence</b>(const T1&amp; lvalue, const T2&amp; rvalue) </font></td>
+		<td>Returns true if an object that models polygon_90_set or one of its 
+		refinements covers the exact same geometric regions as another object 
+		that models polygon_90_set or one of its refinements.&nbsp; For example: 
+		two of polygon_90 objects.&nbsp; O( n log n) runtime complexity and O(n) 
+		memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		output_container_type, typename T&gt;<br>
+		void <b>get_rectangles</b>(output_container_type&amp; output, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T&amp; polygon_set)</font></td>
+		<td>Output container is expected to be a standard container.&nbsp; 
+		Slices geometry of an object that models polygon_90_set or one of its 
+		refinements into non overlapping rectangles and appends them to the 
+		output.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		output_container_type, typename T&gt;<br>
+		void <b>get_max_rectangles</b>(output_container_type&amp; output, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T&amp; polygon_set)</font></td>
+		<td>Output container is expected to be a standard container.&nbsp; Given 
+		an object that models polygon_90_set or one of its refinements finds all 
+		overlapping rectangles that are maximal in area and appends them to the 
+		output.&nbsp; Expected n log n runtime, worst case quadratic rutnime.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		polygon_set_type&gt;<br>
+		void <b>clear</b>(polygon_set_type&amp; polygon_set)</font></td>
+		<td>Makes the object empty of geometry.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		polygon_set_type&gt;<br>
+		bool <b>empty</b>(const polygon_set_type&amp; polygon_set)</font></td>
+		<td>Checks whether the object is empty of geometry.&nbsp; Polygons that 
+		are completely covered by holes will result in empty returning true.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; extents_rectangle, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const 
+		T&amp; polygon_set)</font></td>
+		<td>Computes bounding box of an object that models polygon_90_set and 
+		stores it in an object that models rectangle.&nbsp; If the polygon set 
+		is empty returns false.&nbsp; If there are holes outside of shells they 
+		do not contribute to the extents of the polygon set.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		manhattan_area_type <b>area</b>(const T&amp; polygon_set)</font></td>
+		<td>Computes the area covered by geometry in an object that models 
+		polygon_90_set.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>interact</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Given an object that models polygon_90_set and an object that models 
+		polygon_90_set or one of its refinements, modifies a to retain only 
+		regions that overlap or touch regions in b.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>self_intersect</b>(T&amp; polygon_set)</font></td>
+		<td>Given an object that models polygon_90_set that has self overlapping 
+		regions, modifies the argument to contain only the regions of overlap.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>self_xor</b>(T&amp; polygon_set)</font></td>
+		<td>Given an object that models polygon_90_set that has self overlapping 
+		regions, modifies the argument to contain only the regions that do not 
+		overlap.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; polygon_set, unsigned_area_type bloating)</font></td>
+		<td>Same as getting all the rectangles, bloating them and putting them 
+		back.&nbsp; O( n log n) runtime complexity and O(n) memory wrt vertices 
+		+ intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; polygon_set, orientation_2d orient,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type bloating)</font></td>
+		<td>Same as getting all the rectangles, bloating them and putting them 
+		back.&nbsp; O( n log n) runtime complexity and O(n) memory wrt vertices 
+		+ intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; polygon_set, orientation_2d orient,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type low_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		high_bloating)</font></td>
+		<td>Same as getting all the rectangles, bloating them and putting them 
+		back.&nbsp; O( n log n) runtime complexity and O(n) memory wrt vertices 
+		+ intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; polygon_set, direction_2d dir,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type bloating)</font></td>
+		<td>Same as getting all the rectangles, bloating them and putting them 
+		back.&nbsp; O( n log n) runtime complexity and O(n) memory wrt vertices 
+		+ intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		west_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		east_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		south_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		north_bloating)</font></td>
+		<td>Same as getting all the rectangles, bloating them and putting them 
+		back.&nbsp; O( n log n) runtime complexity and O(n) memory wrt vertices 
+		+ intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; polygon_set, unsigned_area_type shrinking)</font></td>
+		<td>Same as getting all the rectangles of the inverse, bloating them and overwriting 
+		the polygon set with the resulting regions then negating.&nbsp; O( n log 
+		n) runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; polygon_set, orientation_2d orient,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		shrinking)</font></td>
+		<td>Same as getting all the rectangles of the inverse, bloating them and overwriting 
+		the polygon set with the resulting regions then negating.&nbsp; O( n log 
+		n) runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; polygon_set, orientation_2d orient,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		low_shrinking,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		high_shrinking)</font></td>
+		<td>Same as getting all the rectangles of the inverse, bloating them and overwriting 
+		the polygon set with the resulting regions then negating.&nbsp; O( n log 
+		n) runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; polygon_set, direction_2d dir,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		shrinking)</font></td>
+		<td>Same as getting all the rectangles of the inverse, bloating them and overwriting 
+		the polygon set with the resulting regions then negating.&nbsp; O( n log 
+		n) runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		west_shrinking,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		east_shrinking,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		south_shrinking,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type 
+		north_shrinking)</font></td>
+		<td>Same as getting all the rectangles of the inverse, bloating them and overwriting 
+		the polygon set with the resulting regions then negating.&nbsp; O( n log 
+		n) runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coord_type&gt;<br>
+		T&amp; <b>resize</b>(T&amp; polygon_set, coord_type resizing)</font></td>
+		<td>Same as bloat if resizing is positive, same as shrink if resizing is 
+		negative.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coord_type&gt;<br>
+		T&amp; <b>resize</b>(polygon_set_type&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coord_type west, coord_type east, 
+		<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coord_type south, coord_type north)</font></td>
+		<td>Same as bloat if resizing is positive, same as shrink if resizing is 
+		negative.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>grow_and</b>(T&amp; polygon_set, unsigned_area_type bloating)</font></td>
+		<td>Same as bloating non-overlapping regions and then applying self 
+		intersect to retain only the overlaps introduced by the bloat.&nbsp; O( 
+		n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>grow_and</b>(T&amp; polygon_set, orientation_2d orient,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type bloating)</font></td>
+		<td>Same as bloating non-overlapping regions and then applying self 
+		intersect to retain only the overlaps introduced by the bloat.&nbsp; O( 
+		n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>grow_and</b>(T&amp; polygon_set, orientation_2d orient,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type low_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type high_bloating)</font></td>
+		<td>Same as bloating non-overlapping regions and then applying self 
+		intersect to retain only the overlaps introduced by the bloat.&nbsp; O( 
+		n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>grow_and</b>(T&amp; polygon_set, direction_2d dir,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type bloating)</font></td>
+		<td>Same as bloating non-overlapping regions and then applying self 
+		intersect to retain only the overlaps introduced by the bloat.&nbsp; O( 
+		n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>grow_and</b>(T&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type west_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type east_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type south_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+unsigned_area_type north_bloating)</font></td>
+		<td>Same as bloating non-overlapping regions and then applying self 
+		intersect to retain only the overlaps introduced by the bloat.&nbsp; O( 
+		n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>scale_up</b>(T&amp; polygon_set, unsigned_area_type factor)</font></td>
+		<td>Scales geometry up by unsigned factor.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>scale_down</b>(T&amp; polygon_set, unsigned_area_type factor)</font></td>
+		<td>Scales geometry down by unsigned factor.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename scaling_type&gt;<br>
+T&amp; <b>scale</b>(polygon_set_type&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const scaling_type&amp; scaling)</font></td>
+		<td>Scales geometry by applying scaling.scale() on all vertices.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename coord_type&gt;<br>
+T&amp; <b>move</b>(T&amp; polygon_set,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d orient, coord_type 
+displacement)</font></td>
+		<td>Moves geometry by displacement amount in the orientation.&nbsp;&nbsp;&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename coord_type&gt;<br>
+T&amp; <b>move</b>(T&amp; polygon_set, coord_type x_displacement, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coord_type y_displacement)</font></td>
+		<td>Moves the geometry by x_dispacement in x and y_displacement in y.&nbsp; 
+		Note: for consistency should be convolve(polygon_set, point).&nbsp; O( n 
+		log n) runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename transformation_type&gt;<br>
+T&amp; <b>transform</b>(T&amp; polygon_set,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const 
+transformation_type&amp; transformation)</font></td>
+		<td>Applies transformation.transform() on all vertices.&nbsp; O( n log 
+		n) runtime complexity and O(n) memory wrt vertices + intersections. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>keep</b>(T&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_area,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_area,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_width,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_width,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_height,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_height)</font></td>
+		<td>Retains only regions that satisfy the min/max criteria in the 
+		argument list.&nbsp; Note: useful for visualization to cull too small 
+		polygons.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections. </td>
+	</tr>
+	</table>
+	<h1>Polygon 90 Set Data Object</h1>
+
+<p> 
+<p>The polygon 90 set data type encapsulates the internal data format that 
+serves as the input to the sweep-line algorithm that implements polygon-clipping 
+boolean operations.&nbsp; It also internally keeps track of whether that data 
+has been sorted or scanned and maintains the invariant that when its flags 
+indicate that the data is sorted or scanned the data has not been changed to 
+violate that assumption.&nbsp; Using the Polygon 90 Set Data type directly can 
+be more efficient than using lists and vectors of polygons in the functions 
+above because of the invariants it can enforce which provide the opportunity to 
+maintain the data is sorted form rather than going all the way out to polygons 
+then resorting those vertices for a subsequent operation.</p>
+<p>The declaration of Polygon 90 Set Data is the following:</p>
+<p><font face="Courier New">template &lt;typename T&gt;<br>
+class polygon_90_set_data;</font></p>
+<p>The class is parameterized on the coordinate data type.&nbsp; Algorithms that 
+benefit from knowledge of the invariants enforced by the class are implemented 
+as member functions to provide them access to information about those 
+invariants.&nbsp; </p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_90_set_data</b>()</font></td>
+		<td>Default constructor.&nbsp; Scanning orientation defaults to 
+		HORIZONTAL</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_90_set_data</b>(orientation_2d 
+		orient)</font></td>
+		<td>Construct with scanning orientation.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<br>
+	<b>polygon_90_set_data</b>(orientation_2d orient, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; iT input_begin, iT 
+	input_end)</font></td>
+		<td>Construct with scanning orientation from an iterator range of 
+		insertable objects.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+	<b>polygon_90_set_data</b>(const polygon_90_set_data&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">template &lt;typename l, typename r, typename op&gt;<br>
+<b>polygon_90_set_data</b>(const polygon_90_set_view&lt;l,r,op&gt;&amp; 
+t)</font></td>
+		<td>Copy construct from a Boolean operator template.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+<b>polygon_90_set_data</b>(orientation_2d orient, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const polygon_90_set_data&amp; 
+that)</font></td>
+		<td>Construct with scanning orientation and copy from another polygon 
+		set.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">polygon_90_set_data&amp; <br><b>operator=</b>(const polygon_90_set_data&amp; that)</font></td>
+		<td>Assignment from another polygon set, may change scanning 
+		orientation.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">template &lt;typename l, typename r, typename op&gt;<br>
+polygon_90_set_data&amp; <br><b>operator=</b>(const polygon_90_set_view&lt;l, r, 
+op&gt;&amp; that)</font></td>
+		<td>Assignment from a Boolean operator template.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename geometry_object&gt;<br>
+polygon_90_set_data&amp; <b>operator=</b>(const geometry_object&amp; geo)</font></td>
+		<td>Assignment from an insertable object.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename iT&gt;<br>
+void <b>insert</b>(iT input_begin, iT input_end)</font></td>
+		<td>Insert objects of an iterator range.&nbsp; Linear wrt. inserted 
+		vertices.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+void <b>insert</b>(const polygon_90_set_data&amp; polygon_set)</font></td>
+		<td>Insert a polygon set.&nbsp; Linear wrt. inserted vertices.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename geometry_type&gt;<br>
+void <b>insert</b>(const geometry_type&amp; geometry_object, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; bool is_hole 
+= false)</font></td>
+		<td>Insert a geometry object, if is_hole is true then the inserted 
+		region is subtractive rather than additive.&nbsp; Linear wrt. inserted 
+		vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of geometry objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Converts polygon set geometry to objects 
+		of that type and appends them to the container.&nbsp; Polygons will be 
+		output with counterclockwise winding, hole polygons will be output with 
+		clockwise winding.&nbsp; The last vertex of an output polygon is not the 
+		duplicate of the first, and the number of points is equal to the number 
+		of edges.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_polygons</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of polygon objects.&nbsp; Will scan and 
+		eliminate overlaps.&nbsp; Converts polygon set geometry to polygons and 
+		appends them to the container.&nbsp; Polygons will have holes fractured 
+		out to the outer boundary along the positive direction of the scanline 
+		orientation of the polygon set.&nbsp; O( n log n) runtime complexity and 
+		O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_rectangles</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of rectangle objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Slices polygon set geometry to rectangles 
+		along the scanning orientation and appends them to the container.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_rectangles</b>(output_container&amp; output, <br>&nbsp; orientation_2d 
+slicing_orientation) const </font>
+		</td>
+		<td>Expects a standard container of rectangle objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Slices polygon set geometry to rectangles 
+		along the given orientation and appends them to the container.&nbsp; O( 
+		n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+bool <b>operator==</b>(const polygon_90_set_data&amp; p) const</font></td>
+		<td>Once scanned the data representation of geometry within a polygon 
+		set is in a mathematically canonical form.&nbsp; Comparison between two 
+		sets is therefore a linear time operation once they are in the scanned 
+		state. Will scan and eliminate overlaps in both polygon sets.&nbsp; O( n 
+		log n) runtime complexity and O(n) memory wrt vertices + intersections 
+		the first time, linear subsequently.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+bool <b>operator!=</b>(const polygon_90_set_data&amp; p) const</font></td>
+		<td>Inverse logic of equivalence operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>clear</b>()</font></td>
+		<td>Make the polygon set empty.&nbsp; Note: does not de-allocate memory.&nbsp; 
+		Use shrink to fit idiom and assign default constructed polygon set to 
+		de-allocate.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">bool <b>empty</b>() const </font>
+		</td>
+		<td>Check whether the polygon set contains no geometry.&nbsp; Will scan 
+		and eliminate overlaps because subtractive regions might make the 
+		polygon set empty.&nbsp; O( n log n) runtime complexity and O(n) memory 
+		wrt vertices + intersections the first time, linear subsequently.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">orientation_2d <b>orient</b>() const</font></td>
+		<td>Get the scanning orientation.&nbsp; Depending on the data it is 
+		sometimes more efficient to scan in a specific orientation.&nbsp; This 
+		is particularly true of Manhattan geometry data.&nbsp; Constant time.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>clean</b>() const</font></td>
+		<td>Scan and eliminate overlaps.&nbsp; O( n log n) runtime complexity 
+		and O(n) memory wrt vertices + intersections the first time, constant 
+		time subsequently.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename input_iterator_type&gt;<br>
+void <b>set</b>(input_iterator_type input_begin, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; input_iterator_type input_end, 
+<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d orient) </font>
+		</td>
+		<td>Overwrite geometry in polygon set with insertable objects in the 
+		iterator range.&nbsp; Also sets the scanning orientation to that 
+		specified.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename rectangle_type&gt;<br>
+bool <b>extents</b>(rectangle_type&amp; extents_rectangle) const</font></td>
+		<td>Given an object that models rectangle, scans and eliminates overlaps 
+		in the polygon set because subtractive regions may alter its extents 
+		then computes the bounding box and assigns it to extents_rectangle.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections the first time, linear subsequently.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_90_set_data&amp;<br>
+<b>bloat</b>(unsigned_area_type west_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+unsigned_area_type east_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+unsigned_area_type south_bloating,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+unsigned_area_type north_bloating) </font></td>
+		<td>Scans to eliminate overlaps and subtractive regions.&nbsp; Inserts 
+		rectangles of width specified by bloating values to the indicated side 
+		of geometry within the polygon set and fills corners with rectangles of 
+		the length and width specified for the adjacent sides.&nbsp; O( n log n) 
+		runtime complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_90_set_data&amp;<br>
+<b>shrink</b>(unsigned_area_type west_shrinking,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+unsigned_area_type east_shrinking,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+unsigned_area_type south_shrinking,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+unsigned_area_type north_shrinking)</font></td>
+		<td>Scans to eliminate overlaps and subtractive regions.&nbsp; Inserts 
+		subtractiive rectangles of width specified by bloating values to the 
+		indicated side of geometry within the polygon set and subtractive 
+		rectangle at convex corners of the length and width specified for the 
+		adjacent sides.&nbsp; Scans to eliminate overlapping subtractive 
+		regions.&nbsp; O( n log n) runtime complexity and O(n) memory wrt 
+		vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_90_set_data&amp;<br>
+<b>resize</b>(coordinate_type west, coordinate_type east, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_type south, coordinate_type north)</font></td>
+		<td>Call bloat or shrink or shrink then bloat depending on whether the 
+		resizing values are positive or negative.&nbsp; O( n log n) runtime 
+		complexity and O(n) memory wrt vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_90_set_data&amp; <b>move</b>(coordinate_type x_delta, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_type 
+y_delta) </font>
+		</td>
+		<td>Add x_delta to x values and y_delta to y values of vertices stored 
+		within the polygon set.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename transformation_type&gt;<br>
+polygon_90_set_data&amp; <br><b>transform</b>(const transformation_type&amp; transformation) </font>
+		</td>
+		<td>Applies transformation.transform() on vertices stored within the 
+		polygon set.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_90_set_data&amp; <b>scale_up</b>(unsigned_area_type factor)</font></td>
+		<td>Scales vertices stored within the polygon set up by factor.&nbsp; 
+		Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<p><font face="Courier New">polygon_90_set_data&amp; <b>scale_down</b>(unsigned_area_type 
+factor)</font>&nbsp;</td>
+		<td>Scales vertices stored within the polygon set down by factor.&nbsp; 
+		Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename scaling_type&gt;<br>
+polygon_90_set_data&amp;<br> <b>scale</b>(const anisotropic_scale_factor&lt;scaling_type&gt;&amp; 
+		f)</font></td>
+		<td>Scales vertices stored within the polygon set by applying f.scale().&nbsp; 
+		Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_90_set_data&amp; <b>scale</b>(double factor) </font></td>
+		<td>Scales vertices stored within the polygon set by floating point 
+		factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_90_set_data&amp; <b>self_xor</b>()</font></td>
+		<td>Retain only non-overlapping regions of geometry within polygon set.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_90_set_data&amp; <b>self_intersect</b>()</font></td>
+		<td>Retain only overlapping regions of geometry within a polygon set.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_90_set_data&amp;<br> <b>interact</b>(const polygon_90_set_data&amp; that)</font></td>
+		<td>Retain only regions that touch or overlap regions in argument.&nbsp; 
+		O( n log n) runtime complexity and O(n) memory wrt vertices + 
+		intersections.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table4">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_polygon_90_with_holes_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_90_with_holes_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,448 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon 90 With Holes Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon 90 With Holes Concept</h1>
+
+<p> 
+<p>The polygon_90_with_holes concept tag is <font face="Courier New">
+polygon_90_with_holes_concept</font></p>
+<p> 
+To register a user defined type as a model of  
+<font face="Times New Roman">polygon_90_with_holes </font>concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below CPolygon90WithHoles is registered as a model of 
+polygon<font face="Times New Roman">_90_with_holes&nbsp;</font> concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPolygon90WithHoles&gt; { typedef polygon_90_with_holes_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a polygon_90_with_holes is a 
+polygon_90 that it can provide iterators over holes that are also polygon_90.&nbsp; 
+A mutable polygon_90_with_holes must also be able to set its geometry based on 
+an interator range over polygon_90 holes.&nbsp; There is no convention of 
+winding of holes enforced within the library. </font><p> 
+<font face="Times New Roman">Below is shown the default polygon with holes 
+traits.&nbsp; Specialization of these traits is required for types that don't 
+conform to the default behavior.</font><p><font face="Courier New">template &lt;typename 
+T, typename enable = void&gt;<br>
+struct polygon_with_holes_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::iterator_holes_type 
+iterator_holes_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::hole_type hole_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type begin_holes(const T&amp; 
+t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type end_holes(const T&amp; t) 
+{<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline unsigned int size_holes(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p><font face="Courier New">template &lt;typename T, typename enable = void&gt;<br>
+struct polygon_with_holes_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T&amp; set_holes(T&amp; t, iT inputBegin, iT 
+inputEnd) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.set_holes(inputBegin, 
+inputEnd);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p>An object that is a model of <font face="Courier New">
+polygon_90_with_holes_concept</font> can be viewed as a model of any of its 
+refinements if it is determined at runtime to conform to the restriction of 
+those concepts.&nbsp; This concept casting is accomplished through the
+<font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_90_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_90_concept&gt;(polygon_90_with_holes_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be 
+passed into any interface that expects an object of the conceptual type 
+specified in its template parameter.</p>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		compact_iterator_type <b>begin_compact</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp; 
+		Returns the begin iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		compact_iterator_type <b>end_compact</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_90.&nbsp; 
+		Returns the end iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>begin_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_90_with_holes.&nbsp; 
+		Returns the begin iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>end_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_90_with_holes.&nbsp; 
+		Returns the end iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		hole_iterator_type <b>begin_holes</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_90_with_holes.&nbsp; 
+		Returns the begin iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		hole_iterator_type <b>end_</b><b>holes</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_90_with_holes.&nbsp; 
+		Returns the end iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_compact</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_90_with_holes.&nbsp;&nbsp; 
+		Sets the polygon to the coordinate data range [b,e) that corresponds to 
+		.horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_points</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_90_with_holes.&nbsp;&nbsp; 
+		Sets the polygon to the point data range [b,e) that corresponds to 
+		vertices of a manhattan polygon.&nbsp; Non-manhattan edges between 
+		successive input points results in undefined behavior.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_holes</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of 
+		polygon_90_with_holes.&nbsp;&nbsp; 
+		Sets the polygon holes to the hole data range [b,e)</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		unsigned int <b>size</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Returns the number of edges in the 
+		outer shell of the polygon_90_with_holes.&nbsp; Does not include sizes 
+		of the holes.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models polygon_90_with_holes or 
+		one of its refinements into left object 
+		that models polygon_90_with_holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models polygon_90_with_holes and an object that models 
+		point, returns true 
+		if the polygon shell contains the point and one of its holes does not 
+		contain the point.&nbsp; If the consider_touch 
+		flag is true will return true if the point lies along the boundary of 
+		the polygon or one of its holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename T, typename point_type&gt;<br>
+		void <b>center</b>(point_type&amp; p, const T&amp; polygon)</font></td>
+		<td>Sets object that models point to the center point of the bounding 
+		box of an object that models polygon_90_with_holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; bbox, const T&amp; polygon)</font></td>
+		<td>Sets object that models rectangle to the bounding box of an object 
+		that models polygon_90_with_holes and returns true.&nbsp; Returns false 
+		and leaves bbox unchanged if polygon is empty.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		manhattan_area_type <b>area</b>(const T&amp; polygon)</font></td>
+		<td>Returns the area of an object 
+		that models polygon_90_with_holes including subtracting the area of its 
+		holes from the area of the outer shell polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		direction_1d <b>winding</b>(const T&amp; polygon)</font></td>
+		<td>Returns the winding direction of an object 
+		that models polygon_90_with_holes, LOW == CLOCKWISE, HIGH = 
+		COUNTERCLOCKWISE.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>perimeter</b>(const T&amp; polygon)</font></td>
+		<td>Returns the perimeter length of an object 
+		that models polygon_90, including the perimeters of the holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename transform_type&gt;<br>
+		T&amp; <b>transform</b>(T&amp; polygon, const transform_type&amp;)</font></td>
+		<td>Applies transform() on the vertices of polygon and sets the polygon to that described by the result of 
+		transforming its vertices.&nbsp; Also applies transform() on the holes 
+		of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_up</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales up outer shell and holes of an object that models 
+		polygon_90 by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_down</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales down outer shell and holes of an object that models 
+		polygon_90 by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, scaling_type&gt;<br>
+		T&amp; <b>scale</b>(T&amp; rectangle, double scaling) </font></td>
+		<td>Scales outer shell and holes of an object that models polygon_90 by 
+		floating point factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>move</b>(T&amp; polygon, orientation_2d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to coordinate indicated by orientation_2d of 
+		vertices of an object that models polygon_90 .</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename polygon_type, typename point_type&gt;<br>
+		polygon_type&amp; <b>convolve</b>(polygon_type&amp; polygon,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Convolves coordinate values of point with the outer shell and holes of an 
+		object that models polygon_90_with_holes.</td>
+	</tr>
+	</table>
+	<h1>Polygon 90 With Holes Data</h1>
+
+<p> 
+<p>The library provides a model of polygon 90 with holes concept declared
+<font face="Courier New">
+template&lt;typename T&gt; polygon_90_with_holes_data </font>where T is the 
+coordinate type.</p>
+<p>This data type is used internally when a Manhattan polygon with holes is 
+needed and is available to the library user who finds it convenient to use a 
+library polygon data type instead of providing their own.&nbsp; The data type is 
+implemented to be convenient to use with the library traits.</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">polygon_90_with_holes_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_type</font></b></td>
+		<td>Iterator over vertices point_data&lt;T&gt; vertices of polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">compact_iterator_type</font></b></td>
+		<td><font face="Times New Roman">Iterator over non-redundant coordinates 
+		of the polygon, alternating x, y, x, y starting with an x, where each x 
+		corresponds to a vertical edge and each y corresponds to a horizontal 
+		edge.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_holes_type</font></b></td>
+		<td><font face="Times New Roman">Iterator over hole polygons of type 
+		polygon_90_data&lt;T&gt;.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_90_with_holes_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the </font>polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_90_with_holes_data</b>(const 
+		polygon_90_with_holes_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_90_with_holes_data&amp; <b>
+		<br>operator=</b>(const polygon_90_with_holes_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> </b>polygon_90_with_holes_data&amp;<b>&nbsp; 
+		<br> operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of polygon 90 with holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>begin</b>() 
+		const</font></td>
+		<td>Get the begin iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>end</b>() 
+		const</font></td>
+		<td>Get the end iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">compact_iterator_type <b>begin_compact</b>() 
+		const</font></td>
+		<td>Get the begin compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">compact_iterator_type <b>end_compact</b>() 
+		const</font></td>
+		<td>Get the end compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_hole_type <b>begin_holes</b>() 
+		const</font></td>
+		<td>Get the begin compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_hole_type <b>end_holes</b>() 
+		const</font></td>
+		<td>Get the end compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size</b>() const</font></td>
+		<td>Get the number of elements in the sequence stored to the polygon, 
+		usually equal to the number of edges of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size_holes</b>() const</font></td>
+		<td>Get the number of holes in the polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set</b>(iT begin_points, iT end_points)</font></td>
+		<td>Sets the polygon to the iterator range of points.&nbsp; No check is 
+		performed to ensure the points describe a Manhattan figure, every other 
+		x and y value of the points is used to initialize the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set_compact</b>(iT begin_coords, iT end_coords)</font></td>
+		<td>Sets the polygon to the iterator range of coordinates.&nbsp; These 
+		coordinates correspond to the x values of vertical edges and y values of 
+		horizontal edges.&nbsp; It is expected that the sequence start with an x 
+		value and proceed x then y then x then y.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set_holes</b>(iT begin_holes, iT end_choless)</font></td>
+		<td>Sets the polygon holes the iterator range of hole polygons.&nbsp; These 
+		polygons in the input range may be either polygon_90_data or 
+		polygon_90_with_holes_data or any type that provides begin_compact and 
+		end_compact member functions.</td>
+	</tr>
+</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_polygon_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,362 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon Concept</h1>
+
+<p> 
+<p>The polygon concept tag is <font face="Courier New">
+polygon_concept</font></p>
+<p> 
+To register a user defined type as a model of  
+<font face="Times New Roman">polygon </font>concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below CPolygon is registered as a model of 
+polygon&nbsp; concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPolygon&gt; { typedef polygon_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a polygon is that it can provide 
+iterators over the points that represent its vertices.&nbsp; It is acceptable to 
+have the last edge explict with the first and last point equal to each other or 
+implied by this segement that would connect the first and last point.&nbsp; A 
+mutable polygon must also be able to set its geometry based on an interator 
+range over such points.&nbsp; A std::vector&lt;point_data&lt;int&gt; &gt; or std::list&lt;point_data&lt;int&gt; 
+&gt; 
+could be made models of polygon_concept by simply providing access to their 
+iterators through traits.&nbsp; Library functions that create polygon objects 
+require that those objects provide a default constructor.</font><p> 
+<font face="Times New Roman">Below is shown the default polygon traits.&nbsp; 
+Specialization of these traits is required for types that don't conform to the 
+default behavior.&nbsp; Note that these same traits are also used by several 
+other polygon concepts through SFINE enable template parameter.&nbsp; The SFINE 
+enable parameter also allows the library to provide default specialization that 
+work for any object that models the 90 degree polygon concepts.</font><p>
+<font face="Courier New">template &lt;typename T, typename enable = gtl_yes&gt;<br>
+struct polygon_traits {};<br>
+<br>
+template &lt;typename T&gt;<br>
+struct polygon_traits&lt;T, <br>
+&nbsp; typename gtl_or_4&lt;<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_concept&gt;::type,<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_concept&gt;::type,<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_with_holes_concept&gt;::type,<br>
+&nbsp;&nbsp;&nbsp; typename gtl_same_type&lt;typename geometry_concept&lt;T&gt;::type, 
+polygon_with_holes_concept&gt;::type<br>
+&nbsp; &gt;::type&gt; {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::coordinate_type coordinate_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::iterator_type iterator_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::point_type point_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_type begin_points(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_type end_points(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline unsigned int size(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline winding_direction winding(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return unknown_winding;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p><font face="Courier New">template &lt;typename T, typename enable = void&gt;<br>
+struct polygon_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T&amp; set_points(T&amp; t, iT input_begin, iT 
+input_end) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.set(input_begin, 
+input_end);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p>Example code custom_polygon.cpp 
+demonstrates mapping a 
+		user defined polygon class to the library polygon_concept</p>
+<p>An object that is a model of <font face="Courier New">
+polygon_concept</font> can be viewed as a model of any of its 
+refinements if it is determined at runtime to conform to the restriction of 
+those concepts.&nbsp; This concept casting is accomplished through the
+<font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_90_concept&gt;(polygon_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_45_concept&gt;(polygon_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be 
+passed into any interface that expects an object of the conceptual type 
+specified in its template parameter. </p>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>begin_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon.&nbsp; 
+		Returns the begin iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>end_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon.&nbsp; 
+		Returns the end iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_points</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon.&nbsp;&nbsp; 
+		Sets the polygon to the point data range [b,e) that corresponds to 
+		vertices of a manhattan polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		unsigned int <b>size</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Returns the number of edges in the 
+		polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models polygon into left object 
+		that models polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models polygon and an object that models 
+		point, returns true 
+		if the polygon contains the point.&nbsp; If the consider_touch 
+		flag is true will return true if the point lies along the boundary of 
+		the polygon.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename T, typename point_type&gt;<br>
+		void <b>center</b>(point_type&amp; p, const T&amp; polygon)</font></td>
+		<td>Sets object that models point to the center point of the bounding 
+		box of an object that models polygon.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; bbox, const T&amp; polygon)</font></td>
+		<td>Sets object that models rectangle to the bounding box of an object 
+		that models polygon and returns true.&nbsp; Returns false and leaves 
+		bbox unchanged if polygon is empty.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		area_type <b>area</b>(const T&amp; polygon)</font></td>
+		<td>Returns the area of an object 
+		that models polygon.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		direction_1d <b>winding</b>(const T&amp; polygon)</font></td>
+		<td>Returns the winding direction of an object 
+		that models polygon, LOW == CLOCKWISE, HIGH = COUNTERCLOCKWISE.&nbsp; 
+		Complexity depends upon winding trait.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_distance <b>perimeter</b>(const T&amp; polygon)</font></td>
+		<td>Returns the perimeter length of an object 
+		that models polygon.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename transform_type&gt;<br>
+		T&amp; <b>transform</b>(T&amp; polygon, const transform_type&amp;)</font></td>
+		<td>Applies transform() on the vertices of polygon and sets the polygon to that described by the result of 
+		transforming its vertices.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_up</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales up coordinate of an object that models 
+		polygon by unsigned factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_down</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales down coordinates of an object that models 
+		polygon by unsigned factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, scaling_type&gt;<br>
+		T&amp; <b>scale</b>(T&amp; rectangle, double scaling) </font></td>
+		<td>Scales coordinates of an object that models polygon by floating 
+		point factor.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>move</b>(T&amp; polygon, orientation_2d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to coordinate indicated by orientation_2d of 
+		vertices of an object that models polygon .&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename polygon_type, typename point_type&gt;<br>
+		polygon_type&amp; <b>convolve</b>(polygon_type&amp; polygon,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Convolves coordinate values of point with vertices of an 
+		object that models polygon.&nbsp; Linear wrt. vertices.</td>
+	</tr>
+	</table>
+	<h1>Polygon Data</h1>
+
+<p> 
+<p>The library provides a model of polygon concept declared
+<font face="Courier New">
+template&lt;typename T&gt; polygon_data </font>where T is the coordinate type.</p>
+<p>This data type is used internally when a polygon is needed and is available 
+to the library user who finds it convenient to use a library polygon data type 
+instead of providing their own.&nbsp; The data type is implemented to be 
+convenient to use with the library traits.</p>
+<p>Example code polygon_usage.cpp 
+demonstrates using 
+		the library provided polygon data types and functions</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">polygon_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_type</font></b></td>
+		<td>Iterator over vertices point_data&lt;T&gt; vertices of polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the </font>polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_data</b>(const 
+		polygon_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_data&amp; <b>operator=</b>(const 
+		polygon_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b>&nbsp; 
+		<br> </b>polygon_data&amp; <b>operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>begin</b>() 
+		const</font></td>
+		<td>Get the begin iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>end</b>() 
+		const</font></td>
+		<td>Get the end iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size</b>() const</font></td>
+		<td>Get the number of elements in the sequence stored to the polygon, 
+		usually equal to the number of edges of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set</b>(iT begin_points, iT end_points)</font></td>
+		<td>Sets the polygon to the iterator range of points.&nbsp; </td>
+	</tr>
+</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_polygon_set_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_set_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,653 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon Set Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon Set Concept</h1>
+
+<p> 
+<p>The polygon_set concept tag is <font face="Courier New">
+polygon_set_concept</font></p>
+<p> 
+<font face="Times New Roman">The semantic of a polygon_set is zero or more 
+geometry regions.&nbsp; A Polygon Set Concept may be defined with floating point 
+coordinates, but a snap rounding distance of one integer unit will still be 
+applied, furthermore, geometry outside the domain where one integer unit is 
+sufficient to provide robustness may lead to undefined behavior in algorithms.&nbsp; 
+It is recommended to use integer coordinates for robust operations.&nbsp; In the 
+case that data represented contains only Manhattan geometry a runtime check will 
+default to the Manhattan algorithm.&nbsp; The results of which are identical to 
+what the general algorithm would do, but obtained more efficiently.&nbsp; In the 
+case that the data represented contains only Manhattan and 45-degree geometry a 
+runtime check will default to the faster 45-degree algorithm.&nbsp; The results 
+of which may differ slight from what the general algorithm would do because 
+non-integer intersections will be handled differently.</font><p>Users are recommended to use std::vector and std::list of user defined polygons 
+or library provided polygon_set_data&lt;coordinate_type&gt; objects.&nbsp; Lists 
+and vectors of models of polygon_concept or polygon_with_holes_concept are automatically models of polygon_set_concept.</p>
+<p>Example code custom_polygon_set.cpp 
+		demonstrates mapping a user defined class to the library polygon_set_concept</p>
+<p>An object that is a model of <font face="Courier New">
+polygon_set_concept</font> can be viewed as a model of <font face="Courier New">
+polygon_90_set_concept</font> or <font face="Courier New">
+polygon_45_set_concept</font> if it is determined at runtime to conform to the 
+restrictions of those concepts.&nbsp; This concept casting is accomplished 
+through the <font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;polygon_90_set_concept&gt;(polygon_set_object)<br>
+view_as&lt;polygon_45_set_concept&gt;(polygon_set_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be passed 
+into any interface that expects an object of the conceptual type specified in 
+its template parameter.&nbsp; Polygon sets cannot be viewed as single polygons 
+or rectangles since it generally cannot be known whether a polygon set contains 
+only a single polygon without converting to polygons.</p>
+<h2>Operators</h2>
+<p>The return type of some operators is the <font face="Courier New">polygon_set_view</font> 
+operator template type.&nbsp; This type is itself a model of the polygon 90 set 
+concept, but furthermore can be used as an argument to the <font face="Courier New">polygon_set_data</font> 
+constructor and assignment operator.&nbsp; The operator template exists to 
+eliminate temp copies of intermediate results when Boolean operators are chained 
+together.</p>
+<p>Operators are declared inside the namespace <font face="Courier New">boost::polygon::operators</font>.</p>
+<table border="1" width="100%" id="table5">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_set_view <b>operator</b>|(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean OR operation (polygon set union).&nbsp; Accepts two objects 
+		that model polygon_set or one of its refinements.&nbsp; Returns an 
+		operator template that performs the operation on demand when chained or 
+		or nested in a library function call such as assign().&nbsp; Expected n 
+		log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_set_view <b>operator</b>+(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator|.&nbsp; The plus sign is also used for OR 
+		operations in Boolean logic expressions.&nbsp; Expected n log n runtime, 
+		worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_set_view <b>operator</b>&amp;(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean AND operation (polygon set intersection).&nbsp; Accepts two 
+		objects that model polygon_set or one of its refinements.&nbsp; Expected 
+		n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_set_view <b>operator</b>*(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator&amp;.&nbsp; The multiplication symbol is also used for 
+		AND operations in Boolean logic expressions.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_set_view <b>operator</b>^(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean XOR operation (polygon set disjoint-union).&nbsp; Accepts 
+		two objects that model polygon_set or one of its refinements.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		polygon_set_view <b>operator</b>-(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Boolean SUBTRACT operation (polygon set difference).&nbsp; Accepts 
+		two objects that model polygon_set or one of its refinements.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>|=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator|, but with self assignment, left operand must model 
+		polygon_set and not one of it's refinements.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>+=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator+, but with self assignment, left operand must model 
+		polygon_set and not one of it's refinements.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>&amp;=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator&amp;, but with self assignment, left operand must model 
+		polygon_set and not one of it's refinements.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>*=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator*, but with self assignment, left operand must model 
+		polygon_set and not one of it's refinements.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>^=(const T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator^, but with self assignment, left operand must model 
+		polygon_set and not one of it's refinements.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>-=(T1&amp; l, const T2&amp; r)</font></td>
+		<td>Same as operator-, but with self assignment, left operand must model 
+		polygon_set and not one of it's refinements.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1&gt;<br>
+		T1 <b>operator</b>+(const T1&amp;, coordinate_type bloating)</font></td>
+		<td>Performs resize operation, inflating by bloating ammount.&nbsp; If 
+		negative the result is a shrink instead of bloat.&nbsp; Note: returns 
+		result by value.&nbsp; Expected n log n runtime, worst case quadratic 
+		runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1 <b>operator</b>-(const T1&amp;, coordinate_type shrinking)</font></td>
+		<td>Performs resize operation, deflating by bloating ammount.&nbsp; If 
+		negative the result is a bloat instead of shrink.&nbsp; Note: returns 
+		result by value.&nbsp; Expected n log n runtime, worst case quadratic 
+		runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>+=(const T1&amp;, coordinate_type bloating)</font></td>
+		<td>Performs resize operation, inflating by bloating ammount.&nbsp; If 
+		negative the result is a shrink instead of bloat.&nbsp; Returns 
+		reference to modified argument.&nbsp; Expected n log n runtime, worst 
+		case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>operator</b>-=(const T1&amp;, coordinate_type shrinking)</font></td>
+		<td>Performs resize operation, deflating by bloating ammount.&nbsp; If 
+		negative the result is a bloat instead of shrink.&nbsp; Returns 
+		reference to modified argument.&nbsp; Expected n log n runtime, worst 
+		case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	</table>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table6">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; lvalue, const T2&amp; rvalue)</font></td>
+		<td>Eliminates overlaps in geometry and copies from an object that 
+		models polygon_set or any of its refinements into an object that 
+		models polygon_set.&nbsp; Expected n log n runtime, worst case quadratic 
+		runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>equivalence</b>(const T1&amp; lvalue, const T2&amp; rvalue) </font></td>
+		<td>Returns true if an object that models polygon_set or one of its 
+		refinements covers the exact same geometric regions as another object 
+		that models polygon_set or one of its refinements.&nbsp; For example: 
+		two of polygon objects.&nbsp; Expected n log n runtime, worst case 
+		quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		output_container_type, typename T&gt;<br>
+		void <b>get_trapezoids</b>(output_container_type&amp; output, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T&amp; polygon_set)</font></td>
+		<td>Output container is expected to be a standard container.&nbsp; 
+		Slices geometry of an object that models polygon_set or one of its 
+		refinements into non overlapping trapezoids along a vertical slicing 
+		orientation and appends them to the 
+		output, which must have a value type that models polygon or polygon_with_holes.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		output_container_type, typename T&gt;<br>
+		void <b>get_trapezoids</b>(output_container_type&amp; output, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T&amp; polygon_set,<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d orient)</font></td>
+		<td>Output container is expected to be a standard container.&nbsp; 
+		Slices geometry of an object that models polygon_set or one of its 
+		refinements into non overlapping trapezoids along a the specified slicing 
+		orientation and appends them to the 
+		output, which must have a value type that models polygon or polygon_with_holes.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		polygon_set_type&gt;<br>
+		void <b>clear</b>(polygon_set_type&amp; polygon_set)</font></td>
+		<td>Makes the object empty of geometry.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		polygon_set_type&gt;<br>
+		bool <b>empty</b>(const polygon_set_type&amp; polygon_set)</font></td>
+		<td>Checks whether the object is empty of geometry.&nbsp; Polygons that 
+		are completely covered by holes will result in empty returning true.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; extents_rectangle, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const 
+		T&amp; polygon_set)</font></td>
+		<td>Computes bounding box of an object that models polygon_set and 
+		stores it in an object that models rectangle.&nbsp; If the polygon set 
+		is empty returns false.&nbsp; If there are holes outside of shells they 
+		do not contribute to the extents of the polygon set.&nbsp; Expected n 
+		log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		area_type <b>area</b>(const T&amp; polygon_set)</font></td>
+		<td>Computes the area covered by geometry in an object that models 
+		polygon_set.&nbsp; Expected n log n runtime, worst case quadratic 
+		runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; polygon_set, unsigned_area_type bloating)</font></td>
+		<td>Same as getting all the polygons, bloating them and putting them 
+		back.&nbsp; Expected n log n runtime, worst case quadratic runtime wrt. 
+		vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; polygon_set, unsigned_area_type shrinking)</font></td>
+		<td>Same as getting all the polygons, shrinking them and overwriting 
+		the polygon set with the resulting regions.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coord_type&gt;<br>
+		T&amp; <b>resize</b>(T&amp; polygon_set, coord_type resizing,<br> 
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool corner_fill_arc = false, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned int num_circle_segments = 0)</font></td>
+		<td>Same as bloat if resizing is positive, same as shrink if resizing is 
+		negative.&nbsp; Original topology at acute angle vertices is preserved 
+		by default, segmented circular arcs are inserted if corner_fill_arc is 
+		true.&nbsp; num_circle_segments specifies number of segments to 
+		introduce on a full circle when filling acute angle corners with 
+		circular arcs.&nbsp; Expected n log n runtime, worst case quadratic 
+		runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>scale_up</b>(T&amp; polygon_set, unsigned_area_type factor)</font></td>
+		<td>Scales geometry up by unsigned factor.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>scale_down</b>(T&amp; polygon_set, unsigned_area_type factor)</font></td>
+		<td>Scales geometry down by unsigned factor.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename transformation_type&gt;<br>
+T&amp; <b>transform</b>(T&amp; polygon_set,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const 
+transformation_type&amp; transformation)</font></td>
+		<td>Applies transformation.transform() on all vertices.&nbsp; Expected n 
+		log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+T&amp; <b>keep</b>(T&amp; polygon_set, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_area,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_area,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_width,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_width,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type min_height,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type max_height)</font></td>
+		<td>Retains only regions that satisfy the min/max criteria in the 
+		argument list.&nbsp; Note: useful for visualization to cull too small 
+		polygons.&nbsp; Expected n log n runtime, worst case quadratic runtime 
+		wrt. vertices + intersections.</td>
+	</tr>
+	</table>
+	<h1>Polygon Set Data Object</h1>
+
+<p> 
+<p>The polygon set data type encapsulates the internal data format that 
+serves as the input to the sweep-line algorithm that implements polygon-clipping 
+Boolean operations.&nbsp; It also internally keeps track of whether that data 
+has been sorted or scanned and maintains the invariant that when its flags 
+indicate that the data is sorted or scanned the data has not been changed to 
+violate that assumption.&nbsp; Using the Polygon Set Data type directly can 
+be more efficient than using lists and vectors of polygons in the functions 
+above because of the invariants it can enforce which provide the opportunity to 
+maintain the data is sorted form rather than going all the way out to polygons 
+then resorting those vertices for a subsequent operation.</p>
+<p>The declaration of Polygon Set Data is the following:</p>
+<p><font face="Courier New">template &lt;typename T&gt;<br>
+class polygon_set_data;</font></p>
+<p>The class is parameterized on the coordinate data type.&nbsp; Algorithms that 
+benefit from knowledge of the invariants enforced by the class are implemented 
+as member functions to provide them access to information about those 
+invariants.&nbsp; </p>
+<p>Example code polygon_set_usage.cpp 
+demonstrates using 
+		the library provided polygon set data types and functions</p>
+<h2>Member Functions</h2>
+<table border="1" width="100%" id="table7">
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_set_data</b>()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<br>
+	<b>polygon_set_data</b>(iT input_begin, iT 
+	input_end)</font></td>
+		<td>Construct with scanning orientation from an iterator range of 
+		insertable objects.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+	<b>polygon_set_data</b>(const polygon_set_data&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">template &lt;typename l, typename r, typename op&gt;<br>
+<b>polygon_set_data</b>(const polygon_set_view&lt;l,r,op&gt;&amp; 
+t)</font></td>
+		<td>Copy construct from a Boolean operator template.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">polygon_set_data&amp; <br><b>operator=</b>(const polygon_set_data&amp; that)</font></td>
+		<td>Assignment from another polygon set, may change scanning 
+		orientation.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">template &lt;typename l, typename r, typename op&gt;<br>
+polygon_set_data&amp; <br><b>operator=</b>(const polygon_set_view&lt;l, r, 
+op&gt;&amp; that)</font></td>
+		<td>Assignment from a Boolean operator template.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename geometry_object&gt;<br>
+polygon_set_data&amp; <b>operator=</b>(const geometry_object&amp; geo)</font></td>
+		<td>Assignment from an insertable object.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename iT&gt;<br>
+void <b>insert</b>(iT input_begin, iT input_end)</font></td>
+		<td>Insert objects of an iterator range.&nbsp; Linear wrt vertices 
+		inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+void <b>insert</b>(const polygon_set_data&amp; polygon_set)</font></td>
+		<td>Insert a polygon set.&nbsp; Linear wrt vertices inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename geometry_type&gt;<br>
+void <b>insert</b>(const geometry_type&amp; geometry_object, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; bool is_hole 
+= false)</font></td>
+		<td>Insert a geometry object, if is_hole is true then the inserted 
+		region is subtractive rather than additive.&nbsp; Linear wrt vertices 
+		inserted.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of polygons objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Converts polygon set geometry to objects 
+		of the polygon type and appends them to the container.&nbsp; Polygons 
+		will be output with counterclockwise winding, hole polygons will be 
+		output with clockwise winding.&nbsp; The last vertex of an output 
+		polygon is the duplicate of the first, and the number of points is equal 
+		to the number of edges plus 1.&nbsp; If required by the output data 
+		type, polygons will have holes fractured out to the outer boundary along 
+		the positive y direction and off grid intersections on the outer 
+		boundary introduced by this fracture will be truncated downward.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_trapezoids</b>(output_container&amp; output) const</font></td>
+		<td>Expects a standard container of polygon objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Slices polygon set geometry to trapezoids 
+		vertically and appends them to the container.&nbsp; Expected n log n 
+		runtime, worst case quadratic runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename output_container&gt;<br>
+void <b>get_trapezoids</b>(output_container&amp; output, <br>&nbsp; orientation_2d 
+slicing_orientation) const </font>
+		</td>
+		<td>Expects a standard container of polygon objects.&nbsp; Will scan 
+		and eliminate overlaps.&nbsp; Slices polygon set geometry to trapezoids 
+		along the given orientation and appends them to the container.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+bool <b>operator==</b>(const polygon_set_data&amp; p) const</font></td>
+		<td>Once scanned the data representation of geometry within a polygon 
+		set is in a mathematically canonical form.&nbsp; Comparison between two 
+		sets is therefore a linear time operation once they are in the scanned 
+		state. Will scan and eliminate overlaps in both polygon sets.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.&nbsp; </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+bool <b>operator!=</b>(const polygon_set_data&amp; p) const</font></td>
+		<td>Inverse logic of equivalence operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>clear</b>()</font></td>
+		<td>Make the polygon set empty.&nbsp; Note: does not de-allocate memory.&nbsp; 
+		Use shrink to fit idiom and assign default constructed polygon set to 
+		de-allocate.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">bool <b>empty</b>() const </font>
+		</td>
+		<td>Check whether the polygon set contains no geometry.&nbsp; Will scan 
+		and eliminate overlaps because subtractive regions might make the 
+		polygon set empty.&nbsp; Expected n log n runtime, worst case quadratic 
+		runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">void <b>clean</b>() const</font></td>
+		<td>Scan and eliminate overlaps.&nbsp; Expected n log n runtime, worst 
+		case quadratic runtime wrt. vertices + intersections the first time, 
+		constant time subsequently.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename input_iterator_type&gt;<br>
+void <b>set</b>(input_iterator_type input_begin, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; input_iterator_type input_end) </font>
+		</td>
+		<td>Overwrite geometry in polygon set with insertable objects in the 
+		iterator range. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename rectangle_type&gt;<br>
+bool <b>extents</b>(rectangle_type&amp; extents_rectangle) const</font></td>
+		<td>Given an object that models rectangle, scans and eliminates overlaps 
+		in the polygon set because subtractive regions may alter its extents 
+		then computes the bounding box and assigns it to extents_rectangle.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections the first time, linear subsequently.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_set_data&amp;<br>
+<b>resize</b>(coord_type resizing,<br> 
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; bool corner_fill_arc = false, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		unsigned int num_circle_segments = 0)</font></td>
+		<td>Inflates if resizing is positive, deflates if resizing is 
+		negative.&nbsp; Original topology at acute angle vertices is preserved 
+		by default, segmented circular arcs are inserted if corner_fill_arc is 
+		true.&nbsp; num_circle_segments specifies number of segments to 
+		introduce on a full circle when filling acute angle corners with 
+		circular arcs.&nbsp; Specifying zero for num_circle_segments results in 
+		only a single segment being inserted at acute corners.&nbsp; Expected n 
+		log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename transformation_type&gt;<br>
+polygon_set_data&amp; <br><b>transform</b>(const transformation_type&amp; transformation) </font>
+		</td>
+		<td>Applies transformation.transform() on vertices stored within the 
+		polygon set.&nbsp; Expected n log n runtime, worst case quadratic 
+		runtime wrt. vertices + intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+polygon_set_data&amp; <b>scale_up</b>(unsigned_area_type factor)</font></td>
+		<td>Scales vertices stored within the polygon set up by factor.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">polygon_set_data&amp; <b>scale_down</b>(unsigned_area_type 
+factor)</font>&nbsp;</td>
+		<td>Scales vertices stored within the polygon set down by factor.&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">
+template &lt;typename scaling_type&gt;<br>
+polygon_set_data&amp;<br> <b>scale</b>(const scaling_type&amp; 
+		f)</font></td>
+		<td>Scales vertices stored within the polygon set by applying f.scale().&nbsp; 
+		Expected n log n runtime, worst case quadratic runtime wrt. vertices + 
+		intersections.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table8">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_polygon_set_usage.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_set_usage.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,85 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Polygon Set Usage</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">/*<br>
+Copyright 2008 Intel Corporation<br>
+<br>
+Use, modification and distribution are subject to the Boost Software License,<br>
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at<br>
+http://www.boost.org/LICENSE_1_0.txt).<br>
+*/<br>
+#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;cassert&gt;<br>
+namespace gtl = boost::polygon;<br>
+using namespace boost::polygon::operators;<br><br>
+int main() {<br>&nbsp; &nbsp; 
+//lets declare ourselves a polygon set<br>&nbsp; &nbsp; 
+using namespace gtl; //because of operators<br>&nbsp; &nbsp; 
+typedef std::vector&lt;polygon_data&lt;int&gt; &gt; PolygonSet;<br>&nbsp; &nbsp; 
+PolygonSet ps;<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//lets put some data in<br>&nbsp; &nbsp; 
+ps += rectangle_data&lt;int&gt;(0, 0, 10, 10);<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//now lets do something interesting<br>&nbsp; &nbsp; 
+PolygonSet ps2;<br>&nbsp; &nbsp; 
+ps2 += rectangle_data&lt;int&gt;(5, 5, 15, 15);<br>&nbsp; &nbsp; 
+PolygonSet ps3;<br>&nbsp; &nbsp; 
+assign(ps3, ps * ps2); //woah, I just felt the room flex around me<br>&nbsp; &nbsp; 
+PolygonSet ps4;<br>&nbsp; &nbsp; 
+ps4 += ps + ps2;<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//assert that area of result is equal to sum of areas<br>&nbsp; &nbsp; 
+//of input geometry minus the area of overlap between inputs<br>&nbsp; &nbsp; 
+assert(area(ps4) == area(ps) + area(ps2) - area(ps3));<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//I don't even see the code anymore, all<br>&nbsp; &nbsp; 
+//I see is bounding box...interval...triangle<br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//lets try that again in slow motion shall we?<br>&nbsp;&nbsp;&nbsp; 
+assert(equivalence((ps + ps2) - (ps * ps2), ps ^ ps2));<br>
+<br>
+&nbsp;&nbsp;&nbsp; //hmm, subtracting the intersection from the union<br>
+&nbsp;&nbsp;&nbsp; //is equivalent to the xor, all this in one line of code,<br>
+&nbsp;&nbsp;&nbsp; //now we're programming in bullet time<br>
+&nbsp;&nbsp;&nbsp; //(by the way, xor is implemented as one pass, not 
+composition)&nbsp; <br>&nbsp; &nbsp; 
+<br>&nbsp; &nbsp; 
+//just for fun<br>&nbsp; &nbsp; 
+rectangle_data&lt;int&gt; rect;<br>&nbsp; &nbsp; 
+assert(extents(rect, ps ^ ps2));<br>&nbsp; &nbsp; 
+assert(area(rect) == 225);<br>&nbsp; &nbsp; 
+assert(area(rect ^ (ps ^ ps2)) == area(rect) - area(ps ^ ps2)); <br>&nbsp; &nbsp; 
+return 0;<br>}<br>&nbsp; &nbsp; 
+<br>//Now you know how to use the polygon set concept with library polygons<br>&nbsp; &nbsp; 
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_polygon_usage.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_usage.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,76 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Polygon Usage</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">/*<br>
+Copyright 2008 Intel Corporation<br>
+<br>
+Use, modification and distribution are subject to the Boost Software License,<br>
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at<br>
+http://www.boost.org/LICENSE_1_0.txt).<br>
+*/<br>
+#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;cassert&gt;<br>
+namespace gtl = boost::polygon;<br>
+using namespace boost::polygon::operators;<br><br>
+int main() {<br>
+&nbsp;&nbsp;&nbsp; //lets construct a 10x10 rectangle shaped polygon<br>
+&nbsp;&nbsp;&nbsp; typedef gtl::polygon_data&lt;int&gt; Polygon;<br>
+&nbsp;&nbsp;&nbsp; typedef gtl::polygon_traits&lt;Polygon&gt;::point_type Point;<br>
+&nbsp;&nbsp;&nbsp; Point pts[] = {gtl::construct&lt;Point&gt;(0, 0),<br>
+&nbsp;&nbsp;&nbsp; gtl::construct&lt;Point&gt;(10, 0),<br>
+&nbsp;&nbsp;&nbsp; gtl::construct&lt;Point&gt;(10, 10),<br>
+&nbsp;&nbsp;&nbsp; gtl::construct&lt;Point&gt;(0, 10) };<br>
+&nbsp;&nbsp;&nbsp; Polygon poly;<br>
+&nbsp;&nbsp;&nbsp; gtl::set_points(poly, pts, pts+4);<br>
+<br>
+&nbsp;&nbsp;&nbsp; //now lets see what we can do with this polygon<br>
+&nbsp;&nbsp;&nbsp; assert(gtl::area(poly) == 100.0f);<br>
+&nbsp;&nbsp;&nbsp; assert(gtl::contains(poly, gtl::construct&lt;Point&gt;(5, 5)));<br>
+&nbsp;&nbsp;&nbsp; assert(!gtl::contains(poly, gtl::construct&lt;Point&gt;(15, 5)));<br>
+&nbsp;&nbsp;&nbsp; gtl::rectangle_data&lt;int&gt; rect;<br>
+&nbsp;&nbsp;&nbsp; assert(gtl::extents(rect, poly)); //get bounding box of poly<br>
+&nbsp;&nbsp;&nbsp; assert(gtl::equivalence(rect, poly)); //hey, that's slick<br>
+&nbsp;&nbsp;&nbsp; assert(gtl::winding(poly) == gtl::COUNTERCLOCKWISE);<br>
+&nbsp;&nbsp;&nbsp; assert(gtl::perimeter(poly) == 40.0f);<br>
+<br>
+&nbsp;&nbsp;&nbsp; //add 5 to all coords of poly<br>
+&nbsp;&nbsp;&nbsp; gtl::convolve(poly, gtl::construct&lt;Point&gt;(5, 5));<br>
+&nbsp;&nbsp;&nbsp; //multiply all coords of poly by 2<br>
+&nbsp;&nbsp;&nbsp; gtl::scale_up(poly, 2);<br>
+&nbsp;&nbsp;&nbsp; gtl::set_points(rect, gtl::point_data&lt;int&gt;(10, 10),<br>
+&nbsp;&nbsp;&nbsp; gtl::point_data&lt;int&gt;(30, 30));<br>
+&nbsp;&nbsp;&nbsp; assert(gtl::equivalence(poly, rect));<br>
+&nbsp;&nbsp;&nbsp; return 0;<br>
+}<br>
+//Now you know how to use the built in polygon data type<br>
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_polygon_with_holes_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_polygon_with_holes_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,395 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Polygon With Holes Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Polygon With Holes Concept</h1>
+
+<p> 
+<p>The polygon_with_holes concept tag is <font face="Courier New">
+polygon_with_holes_concept</font></p>
+<p> 
+To register a user defined type as a model of  
+<font face="Times New Roman">polygon_with_holes </font>concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below 
+CPolygonWithHoles is registered as a model of polygon<font face="Times New Roman">_with_holes&nbsp;</font> concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CPolygonWithHoles&gt; { typedef polygon_with_holes_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a polygon_with_holes is a polygon 
+that it can provide iterators over holes that are also polygon.&nbsp; A mutable 
+polygon_with_holes must also be able to set its geometry based on an interator 
+range over polygon holes.&nbsp; There is no convention of winding of holes 
+enforced within the library. </font><p> 
+<font face="Times New Roman">Below is shown the default polygon with holes 
+traits.&nbsp; Specialization of these traits is required for types that don't 
+conform to the default behavior.&nbsp; Note, these traits are used by all 
+polygon with holes concepts.</font><p><font face="Courier New">template &lt;typename 
+T, typename enable = void&gt;<br>
+struct polygon_with_holes_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::iterator_holes_type 
+iterator_holes_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::hole_type hole_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type begin_holes(const T&amp; 
+t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.begin_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline iterator_holes_type end_holes(const T&amp; t) 
+{<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.end_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline unsigned int size_holes(const T&amp; t) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t.size_holes();<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p><font face="Courier New">template &lt;typename T, typename enable = void&gt;<br>
+struct polygon_with_holes_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename iT&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T&amp; set_holes(T&amp; t, iT inputBegin, iT 
+inputEnd) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; t.set_holes(inputBegin, 
+inputEnd);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return t;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+};</font></p>
+<p>An object that is a model of <font face="Courier New">
+polygon_with_holes_concept</font> can be viewed as a model of any of its 
+refinements if it is determined at runtime to conform to the restriction of 
+those concepts.&nbsp; This concept casting is accomplished through the
+<font face="Courier New">view_as&lt;&gt;()</font> function.</p>
+<p><font face="Courier New">view_as&lt;rectangle_concept&gt;(polygon_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_90_concept&gt;(polygon_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_90_with_holes_concept&gt;(polygon_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_45_concept&gt;(polygon_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_45_with_holes_concept&gt;(polygon_with_holes_object)</font><br>
+<font face="Courier New">view_as&lt;polygon_concept&gt;(polygon_with_holes_object)</font></p>
+<p>The return value of <font face="Courier New">view_as&lt;&gt;()</font> can be 
+passed into any interface that expects an object of the conceptual type 
+specified in its template parameter. </p>
+<h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>begin_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_with_holes.&nbsp; 
+		Returns the begin iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_iterator_type <b>end_points</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_with_holes.&nbsp; 
+		Returns the end iterator over the range of points that correspond to 
+		vertices of the polygon.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		hole_iterator_type <b>begin_holes</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_with_holes.&nbsp; 
+		Returns the begin iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		hole_iterator_type <b>end_holes</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_with_holes.&nbsp; 
+		Returns the end iterator over the range of coordinates that correspond 
+		to horizontal and vertical edges.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_points</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_with_holes.&nbsp;&nbsp; 
+		Sets the polygon to the point data range [b,e) that corresponds to 
+		vertices of a polygon.&nbsp; </font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		iterator&gt;<br>
+		void <b>set_holes</b>(T&amp; polygon, iterator b, iterator e)</font></td>
+		<td><font face="Times New Roman">Expects a model of polygon_with_holes.&nbsp;&nbsp; 
+		Sets the polygon holes to the hole data range [b,e)</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		unsigned int <b>size</b>(const T&amp; polygon)</font></td>
+		<td><font face="Times New Roman">Returns the number of edges in the 
+		outer shell of the polygon_with_holes.&nbsp; Does not include sizes of 
+		the holes.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models polygon_with_holes or one 
+		of its refinements into left object 
+		that models polygon_with_holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models polygon_with_holes and an object that models 
+		point, returns true 
+		if the polygon shell contains the point and one of its holes does not 
+		contain the point.&nbsp; If the consider_touch 
+		flag is true will return true if the point lies along the boundary of 
+		the polygon or one of its holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename T, typename point_type&gt;<br>
+		void <b>center</b>(point_type&amp; p, const T&amp; polygon)</font></td>
+		<td>Sets object that models point to the center point of the bounding 
+		box of an object that models polygon_with_holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename rectangle_type&gt;<br>
+		bool <b>extents</b>(rectangle_type&amp; bbox, const T&amp; polygon)</font></td>
+		<td>Sets object that models rectangle to the bounding box of an object 
+		that models polygon_with_holes and returns true.&nbsp; Returns false and 
+		leaves bbox unchanged if polygon is empty.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		manhattan_area_type <b>area</b>(const T&amp; polygon)</font></td>
+		<td>Returns the area of an object 
+		that models polygon_with_holes including subtracting the area of its 
+		holes from the area of the outer shell polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		direction_1d <b>winding</b>(const T&amp; polygon)</font></td>
+		<td>Returns the winding direction of an object 
+		that models polygon_with_holes, LOW == CLOCKWISE, HIGH = 
+		COUNTERCLOCKWISE.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>perimeter</b>(const T&amp; polygon)</font></td>
+		<td>Returns the perimeter length of an object 
+		that models polygon, including the perimeters of the holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename transform_type&gt;<br>
+		T&amp; <b>transform</b>(T&amp; polygon, const transform_type&amp;)</font></td>
+		<td>Applies transform() on the vertices of polygon and sets the polygon to that described by the result of 
+		transforming its vertices.&nbsp; Also applies transform() on the holes 
+		of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_up</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales up outer shell and holes of an object that models 
+		polygon by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>scale_down</b>(T&amp; polygon, unsigned_area_type factor)</font></td>
+		<td>Scales down outer shell and holes of an object that models 
+		polygon by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, scaling_type&gt;<br>
+		T&amp; <b>scale</b>(T&amp; rectangle, double scaling) </font></td>
+		<td>Scales outer shell and holes of an object that models polygon by 
+		floating point factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>move</b>(T&amp; polygon, orientation_2d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to coordinate indicated by orientation_2d of 
+		vertices of an object that models polygon .</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename polygon_type, typename point_type&gt;<br>
+		polygon_type&amp; <b>convolve</b>(polygon_type&amp; polygon,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Convolves coordinate values of point with the outer shell and holes of an 
+		object that models polygon_with_holes.</td>
+	</tr>
+	</table>
+	<h1>Polygon With Holes Data</h1>
+
+<p> 
+<p>The library provides a model of polygon with holes concept declared
+<font face="Courier New">
+template&lt;typename T&gt; polygon_with_holes_data </font>where T is the 
+coordinate type.</p>
+<p>This data type is used internally when a polygon with holes is 
+needed and is available to the library user who finds it convenient to use a 
+library polygon data type instead of providing their own.&nbsp; The data type is 
+implemented to be convenient to use with the library traits.</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">polygon_with_holes_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_type</font></b></td>
+		<td>Iterator over vertices point_data&lt;T&gt; vertices of polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">iterator_holes_type</font></b></td>
+		<td><font face="Times New Roman">Iterator over hole polygons of type 
+		polygon_data&lt;T&gt;.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_with_holes_data</b>()</font></td>
+		<td><font face="Times New Roman">Default constructs the </font>polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>polygon_with_holes_data</b>(const 
+		polygon_with_holes_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">polygon_with_holes_data&amp; <b>
+		<br>operator=</b>(const polygon_with_holes_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> </b>
+		polygon_with_holes_data&amp;<b>&nbsp; 
+		<br> operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of polygon with holes.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>begin</b>() 
+		const</font></td>
+		<td>Get the begin iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_type <b>end</b>() 
+		const</font></td>
+		<td>Get the end iterator over vertices of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_hole_type <b>begin_holes</b>() 
+		const</font></td>
+		<td>Get the begin compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">iterator_hole_type <b>end_holes</b>() 
+		const</font></td>
+		<td>Get the end compact iterator over non-redundant coordinates of the 
+		polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size</b>() const</font></td>
+		<td>Get the number of elements in the sequence stored to the polygon, 
+		usually equal to the number of edges of the polygon.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">std::size_t <b>size_holes</b>() const</font></td>
+		<td>Get the number of holes in the polygon</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set</b>(iT begin_points, iT end_points)</font></td>
+		<td>Sets the polygon to the iterator range of points. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename iT&gt;<b>&nbsp; 
+		<br> </b>void <b>set_holes</b>(iT begin_holes, iT end_choless)</font></td>
+		<td>Sets the polygon holes the iterator range of hole polygons.&nbsp; These 
+		polygons in the input range may be either polygon_data or 
+		polygon_with_holes_data or any type that provides begin and end member 
+		functions to iterate over point_data&lt;T&gt;.</td>
+	</tr>
+</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table3">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_property_merge.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_property_merge.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,146 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Property Merge</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Property Merge</h1>
+
+<p> 
+<p>The following is the declaration of the property merge algorithm.<p>
+<font face="Courier New">template &lt;typename coordinate_type, typename 
+property_type&gt;<br>
+class property_merge;</font><p>The property algorithm computes the n-layer 
+map overlay of input polygon sets.&nbsp; Each input geometry is inserted along 
+with a property value.&nbsp; The property type can be anything suitable for use 
+as an element of a std::set.&nbsp; Multiple geometry objects can be separately 
+inserted with the same property value.&nbsp; To store the result of this 
+operation a fairly complex container is required.&nbsp; Resulting geometries are 
+associated with unique subsets of property values of the input geometry.&nbsp; 
+Two suitable containers for storing the result of a property merge operation 
+are:<p><font face="Courier New">std::map&lt;std::set&lt;property_type&gt;, polygon_set_data&lt;coordinate_type&gt; 
+&gt;<br>
+std::map&lt;std::vector&lt;property_type&gt;, polygon_set_data&lt;coordinate_type&gt; &gt;</font><p>
+Example code property_merge_usage.cpp 
+		demonstrates using the n-layer map-overlay algorithm on polygon data.<h2>Member Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><b><font face="Courier New">property_merge</font></b><font face="Courier New">()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">property_merge</font></b><font face="Courier New">(const 
+		property_merge&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">void <br><b>insert</b>(const polygon_set_data&lt;coordinate_type&gt;&amp; ps,<br> 
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+const property_type&amp; property)</font></td>
+		<td>I<font face="Times New Roman">nsert a polygon set with an associated 
+		property.</font>&nbsp; Linear wrt vertices inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GeoObjT&gt;<br>
+void <b>insert</b>(const GeoObjT&amp; geoObj,<br> 
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+const property_type&amp; property)</font></td>
+		<td>Insert a geometry object that is a refinement of polygon set with an 
+		associated property.&nbsp; Linear wrt vertices inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename result_type&gt;<br>
+void <b>merge</b>(result_type&amp; result)</font></td>
+		<td>Accepts a container object that conforms to the expectations defined 
+		above.&nbsp; Performs property merge and populates the container 
+		object.&nbsp; Expected n log n runtime, worst case quadratic runtime wrt. 
+		vertices + intersections.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_property_merge_45.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_property_merge_45.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,145 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Property Merge 90</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Property Merge 45</h1>
+
+<p> 
+<p>The following is the declaration of the property merge algorithm.<p>
+<font face="Courier New">template &lt;typename coordinate_type, typename 
+property_type&gt;<br>
+class property_merge_45;</font><p>The property algorithm computes the n-layer 
+map overlay of input polygon sets.&nbsp; Each input geometry is inserted along 
+with a property value.&nbsp; The property type can be anything suitable for use 
+as an element of a std::set.&nbsp; Multiple geometry objects can be separately 
+inserted with the same property value.&nbsp; To store the result of this 
+operation a fairly complex container is required.&nbsp; Resulting geometries are 
+associated with unique subsets of property values of the input geometry.&nbsp; 
+Two suitable containers for storing the result of a property merge operation 
+are:<p><font face="Courier New">std::map&lt;std::set&lt;property_type&gt;, polygon_45_set_data&lt;coordinate_type&gt; 
+&gt;<br>
+std::map&lt;std::vector&lt;property_type&gt;, polygon_45_set_data&lt;coordinate_type&gt; &gt;</font><p>
+Example code property_merge_usage.cpp 
+		demonstrates using the n-layer map-overlay algorithm on polygon 90 data.<h2>Member Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><b><font face="Courier New">property_merge_45</font></b><font face="Courier New">()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">property_merge_45</font></b><font face="Courier New">(const 
+		property_merge_45&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">void <br><b>insert</b>(const polygon_45_set_data&lt;coordinate_type&gt;&amp; ps,<br> 
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+const property_type&amp; property)</font></td>
+		<td>I<font face="Times New Roman">nsert a polygon set with an associated 
+		property.</font>&nbsp; Linear wrt vertices inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GeoObjT&gt;<br>
+void <b>insert</b>(const GeoObjT&amp; geoObj,<br> 
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+const property_type&amp; property)</font></td>
+		<td>Insert a geometry object that is a refinement of polygon 45 set with 
+		an associated property.&nbsp; Linear wrt vertices inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename result_type&gt;<br>
+void <b>merge</b>(result_type&amp; result)</font></td>
+		<td>Accepts a container object that conforms to the expectations defined 
+		above.&nbsp; Performs property merge and populates the container 
+		object.&nbsp; O(n log n) runtime wrt. vertices + intersections.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_property_merge_90.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_property_merge_90.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,145 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Property Merge 90</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+        	<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Property Merge 90</h1>
+
+<p> 
+<p>The following is the declaration of the property merge algorithm.<p>
+<font face="Courier New">template &lt;typename coordinate_type, typename 
+property_type&gt;<br>
+class property_merge_90;</font><p>The property algorithm computes the n-layer 
+map overlay of input polygon sets.&nbsp; Each input geometry is inserted along 
+with a property value.&nbsp; The property type can be anything suitable for use 
+as an element of a std::set.&nbsp; Multiple geometry objects can be separately 
+inserted with the same property value.&nbsp; To store the result of this 
+operation a fairly complex container is required.&nbsp; Resulting geometries are 
+associated with unique subsets of property values of the input geometry.&nbsp; 
+Two suitable containers for storing the result of a property merge operation 
+are:<p><font face="Courier New">std::map&lt;std::set&lt;property_type&gt;, polygon_90_set_data&lt;coordinate_type&gt; 
+&gt;<br>
+std::map&lt;std::vector&lt;property_type&gt;, polygon_90_set_data&lt;coordinate_type&gt; &gt;</font><p>
+Example code property_merge_usage.cpp 
+		demonstrates using the n-layer map-overlay algorithm on polygon 90 data.<h2>Member Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><b><font face="Courier New">property_merge_90</font></b><font face="Courier New">()</font></td>
+		<td>Default constructor. </td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">property_merge_90</font></b><font face="Courier New">(const 
+		property_merge_90&amp; that)</font></td>
+		<td>Copy construct.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">void <br><b>insert</b>(const polygon_90_set_data&lt;coordinate_type&gt;&amp; ps,<br> 
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+const property_type&amp; property)</font></td>
+		<td>I<font face="Times New Roman">nsert a polygon set with an associated 
+		property.</font>&nbsp; Linear wrt vertices inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;class GeoObjT&gt;<br>
+void <b>insert</b>(const GeoObjT&amp; geoObj,<br> 
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+const property_type&amp; property)</font></td>
+		<td>Insert a geometry object that is a refinement of polygon 90 set with 
+		an associated property.&nbsp; Linear wrt vertices inserted.</td>
+	</tr>
+	<tr>
+		<td width="586">
+<font face="Courier New">
+template &lt;typename result_type&gt;<br>
+void <b>merge</b>(result_type&amp; result)</font></td>
+		<td>Accepts a container object that conforms to the expectations defined 
+		above.&nbsp; Performs property merge and populates the container 
+		object.&nbsp; O(n log n) runtime wrt. vertices + intersections.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/gtl_property_merge_usage.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_property_merge_usage.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,127 @@
+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Property Merge Usage</title>
+</head>
+
+<body>
+
+<p><font face="Courier New">/*<br>
+Copyright 2008 Intel Corporation<br>
+<br>
+Use, modification and distribution are subject to the Boost Software License,<br>
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at<br>
+http://www.boost.org/LICENSE_1_0.txt).<br>
+*/<br>
+#include &lt;boost/polygon/polygon.hpp&gt;<br>
+#include &lt;cassert&gt;<br>
+namespace gtl = boost::polygon;<br>
+using namespace boost::polygon::operators;<br>
+<br>//just a little meta-programming to get things off on the right foot<br>
+template &lt;typename T&gt;<br>
+struct lookup_polygon_set_type { typedef gtl::polygon_set_data&lt;int&gt; type; };<br>
+template &lt;typename T, typename T2&gt;<br>
+struct lookup_polygon_set_type&lt;gtl::property_merge_90&lt;T, T2&gt; &gt; { <br>
+&nbsp; typedef gtl::polygon_90_set_data&lt;int&gt; type; };<br>
+<br>
+//This function works with both the 90 and general versions<br>
+//of property merge/map overlay algorithm<br>
+template &lt;typename pm_type&gt;<br>
+void test_pm() {<br>
+&nbsp; std::vector&lt;gtl::rectangle_data&lt;int&gt; &gt; test_data;<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(11, 10, 31, 30));<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(1, 0, 21, 20));<br>
+&nbsp; test_data.push_back(gtl::rectangle_data&lt;int&gt;(6, 15, 16, 25));<br>
+<br>
+&nbsp; pm_type pm;<br>
+<br>
+&nbsp; //insert our test geometry into the property merge algorithm<br>
+&nbsp; for(unsigned int i = 0; i &lt; test_data.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; pm.insert(test_data[i], i); //notice I use the index as the 
+property value<br>
+&nbsp; }<br>
+<br>
+&nbsp; typedef typename lookup_polygon_set_type&lt;pm_type&gt;::type polygon_set_type;<br>
+&nbsp; typedef std::map&lt;std::set&lt;int&gt;, polygon_set_type&gt; 
+property_merge_result_type;<br>
+<br>
+&nbsp; std::set&lt;int&gt; key;<br>
+<br>
+&nbsp; //There are 8 different combinations of our input geometries<br>
+&nbsp; //null combination is not interesting, so really 7<br>
+<br>
+&nbsp; property_merge_result_type result;<br>
+&nbsp; pm.merge(result);<br>
+<br>
+&nbsp; //lets enumerate boolean combinations of inputs (hold onto your hats)<br>
+&nbsp; for(unsigned int i = 0; i &lt; 8; ++i) {<br>
+&nbsp;&nbsp;&nbsp; bool bits[3] = {i &amp; 1, i &amp; 2, i &amp; 4}; //break out bit array<br>
+&nbsp;&nbsp;&nbsp; polygon_set_type test_set;<br>
+&nbsp;&nbsp;&nbsp; std::set&lt;int&gt; key;<br>
+&nbsp;&nbsp;&nbsp; for(unsigned int j = 0; j &lt; 3; ++j) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(bits[j]) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; key.insert(key.end(), j);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; test_set += test_data[j];<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; for(unsigned int j = 0; j &lt; 3; ++j) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(bits[j]) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; test_set *= test_data[j];<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; for(unsigned int j = 0; j &lt; 3; ++j) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(!bits[j])<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; test_set -= test_data[j];<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; if(test_set.empty()) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //only the null combination should not exist<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; assert(i == 0);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //a combination that does not exist should not<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //be present in result<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; assert(result.find(key) == result.end());<br>
+&nbsp;&nbsp;&nbsp; } else {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; assert(gtl::equivalence(result[key], test_set));<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; }<br>
+<br>
+&nbsp; //Notice that we have to do O(2^n) booleans to compose the same<br>
+&nbsp; //result that is produced in one pass of property merge<br>
+&nbsp; //given n input layers (8 = 2^3 in this example)<br>
+}<br>
+<br>
+int main() {<br>
+&nbsp;
+test_pm&lt;gtl::property_merge_90&lt;int, int&gt; &gt;();<br>
+&nbsp;
+test_pm&lt;gtl::property_merge&lt;int, int&gt; &gt;();<br>
+&nbsp;
+return 0;<br>
+}<br>
+//Now you know how to use the manhattan and arbitrary angle property<br>
+//merge algorithms to perform map overlay on n layers of input geometry<br>
+&nbsp;</font></p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>

Added: trunk/libs/polygon/doc/gtl_rectangle_concept.htm
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/gtl_rectangle_concept.htm	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,732 @@
+<!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" xml:lang="en" lang="en" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:(null)1="http://www.w3.org/TR/REC-html40"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Rectangle Concept</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+            <li>Design Overview</li>
+            <li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+			<li>Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+        	<li>Layout Versus Schematic Tutorial</li>
+			<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>Rectangle Concept</h1>
+
+<p> 
+<p>The rectangle concept tag is <font face="Courier New">
+rectangle_concept</font></p>
+<p> 
+To register a user defined type as a model of  
+<font face="Times New Roman">rectangle </font>concept, specialize the 
+geometry concept meta-function for that type.&nbsp; In the example below CRectangle is registered as a model of 
+rectangle&nbsp; concept.<p> 
+<font face="Courier New">template &lt;&gt;<br>
+struct geometry_concept&lt;CRectangle&gt; { typedef rectangle_concept type; };</font><p> 
+<font face="Times New Roman">The semantic of a rectangle is that it has an x and 
+a y interval and these intervals conform to the semantic of an interval 
+including its invariant.&nbsp; This invariant on the intervals of a rectangle is enforced by the generic library functions that 
+operate on rectangles, and is not expected of the data type itself or the concept 
+mapping of that data type to the rectangle concept through its traits.&nbsp; In 
+this way a boost::tuple&lt;int, int, int, int&gt; or boost::array&lt;int, 4&gt; 
+could be made models of rectangle by simply providing indirect access to their 
+elements through traits.</font><p> 
+<font face="Times New Roman">Below is shown the default rectangle traits.&nbsp; 
+Specialization of these traits is required for types that don't conform to the 
+default behavior.&nbsp; The interested reader will note SFINAE is used on the 
+traits to allow only an object that provides a member type definition of 
+interval_type to work with the default read only traits.&nbsp; This becomes 
+necessary when refinements of concepts are used and it is undesirable to attempt 
+to match default traits to non-rectangle types at compile time.&nbsp; 
+Specializing rectangle_traits can be done easily by simply providing gtl_yes as 
+the enable parameter.</font><p> 
+<font face="Courier New">template &lt;typename T, typename enable = gtl_yes&gt;<br>
+struct rectangle_traits {};</font><p> 
+<font face="Courier New">template &lt;typename T&gt;<br>
+struct rectangle_traits&lt;T, gtl_no&gt; {};<br>
+<br>
+template &lt;typename T&gt;<br>
+struct rectangle_traits&lt;T, typename gtl_same_type&lt;typename T::interval_type, 
+typename T::interval_type&gt;::type&gt; {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::coordinate_type coordinate_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; typedef typename T::interval_type interval_type;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline interval_type get(const T&amp; rectangle, 
+orientation_2d orient) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return 
+rectangle.get(orient); }<br>
+};<br>
+<br>
+template &lt;typename T&gt;<br>
+struct rectangle_mutable_traits {<br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename T2&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline void set(T&amp; rectangle, orientation_2d 
+orient, const T2&amp; interval) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; rectangle.set(orient, 
+interval); }<br>
+&nbsp;&nbsp;&nbsp;&nbsp; template &lt;typename T2, typename T3&gt;<br>
+&nbsp;&nbsp;&nbsp;&nbsp; static inline T construct(const T2&amp; interval_horizontal, 
+const T3&amp; interval_vertical) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return 
+T(interval_horizontal, interval_vertical); }<br>
+};</font><h2>Functions</h2>
+<table border="1" width="100%" id="table1">
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		interval_type <b>get</b>(const T&amp; rectangle, orientation_2d)</font></td>
+		<td><font face="Times New Roman">Expects a model of rectangle.&nbsp; 
+		Returns the x interval or y interval of the rectangle, depending on the 
+		orientation_2d value.</font><font face="Courier New"><br>
+&nbsp;</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coordinate_type&gt;<br>
+		void <b>set</b>(T&amp; rectangle, orientation_2d, coordinate_type)</font></td>
+		<td><font face="Times New Roman">Expects a model of rectangle.&nbsp;&nbsp; 
+		Sets the x interval or y interval of the rectangle to the 
+		coordinate, depending on the orientation_2d value.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		interval_type <b>get</b>(const T&amp; rectangle, orientation_2d, 
+		<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; direction_1d)</font></td>
+		<td><font face="Times New Roman">Expects a model of rectangle.&nbsp; 
+		Returns the coordinate specificed by the direction_1d value of the x interval or y interval of the rectangle, depending on the 
+		orientation_2d value.</font><font face="Courier New"><br>
+&nbsp;</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		coordinate_type&gt;<br>
+		void <b>set</b>(T&amp; rectangle, orientation_2d, direction_1d, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_type)</font></td>
+		<td><font face="Times New Roman">Expects a model of rectangle.&nbsp;&nbsp; 
+		Sets the coordinate specified by the direction_1d value of the x interval or y interval of the rectangle to the 
+		coordinate, depending on the orientation_2d value.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		T2&gt;<br>
+		T <b>construct</b>(const T2&amp; h, const T2&amp; v)</font></td>
+		<td>Construct an object that is a model of rectangle given x interval 
+		and y intervals.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		T2&gt;<br>
+		T <b>construct</b>(coordinate_type xl, coordinate_type yl, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_type 
+		xh, coordinate_type yh)</font></td>
+		<td>Construct an object that is a model of rectangle given four coordinate values.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>assign</b>(T1&amp; left, const T2&amp; right)</font></td>
+		<td>Copies data from right object that models rectangle into left object 
+		that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		T2&gt;<br>
+		bool <b>equivalence</b>(const T&amp; rectangle1, </font>
+		<br><font face="Courier New">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const T2&amp; rectangle2)</font></td>
+		<td>Given two objects that model rectangle, compares and returns true if 
+		their x and y intervals are respectively equivalent.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		bool <b>contains</b>(const T&amp;, const point_type&amp; point, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch=true)</font></td>
+		<td>Given an object that models rectangle and an object that models 
+		point, returns true 
+		if the rectangle contains the point.&nbsp; If the consider_touch 
+		flag is true will return true if the point lies along the boundary of 
+		the rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>contains</b>(const T1&amp; a, const T2&amp; b, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true) </font></td>
+		<td>Returns true if model of rectangle a contains both intervals of 
+		model of rectangle b.&nbsp; If the consider_touch flag is true will 
+		consider rectangle b contained even if it touches the boundary of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		interval_type <b>horizontal</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the x interval of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		interval_type <b>vertical</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the y interval of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_type <b>xl</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the west coordinate of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_type <b>xh</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the east coordinate of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_type <b>yl</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the south coordinate of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_type <b>yh</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the north coordinate of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_type <b>ll</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the lower left corner point of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_type <b>lr</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the lower right corner point of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_type <b>ul</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the upper left corner point of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		point_type <b>ur</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the upper right corner point of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">// get the center coordinate<br>
+		template &lt;typename T, typename point_type&gt;<br>
+		void <b>center</b>(point_type&amp; p, const T&amp; rectangle)</font></td>
+		<td>Sets object that models point to the center point of an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename interval_type&gt;<br>
+		void <b>horizontal</b>(T&amp; rectangle, const interval_type&amp; i)</font></td>
+		<td>Sets the x interval of the object that models rectangle to be equal 
+		to the value of an object that models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename interval_type&gt;<br>
+		void <b>vertical</b>(T&amp; rectangle, const interval_type&amp; i )</font></td>
+		<td>Sets the y interval of the object that models rectangle to be equal 
+		to the value of an object that models interval.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type&gt;<br>
+		void <b>xl</b>(rectangle_type&amp; rectangle, coordinate_type )</font></td>
+		<td>Sets the west coordinate of the object that models rectangle to be equal 
+		to the coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type&gt;<br>
+		void <b>xh</b>(rectangle_type&amp; rectangle, coordinate_type )</font></td>
+		<td>Sets the east coordinate of the object that models rectangle to be equal 
+		to the coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type&gt;<br>
+		void <b>yl</b>(rectangle_type&amp; rectangle, coordinate_type )</font></td>
+		<td>Sets the south coordinate of the object that models rectangle to be equal 
+		to the coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type&gt;<br>
+		void <b>yh</b>(rectangle_type&amp; rectangle, coordinate_type )</font></td>
+		<td>Sets the north coordinate of the object that models rectangle to be equal 
+		to the coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename T1, typename T2&gt;<br>
+		T&amp; <b>set_points</b>(T&amp; rectangle, const T1&amp; p1, const T2&amp; p2)</font></td>
+		<td>Sets the rectangle to the rectangle fully described by the points p1 
+		and p2.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>delta</b>(const T&amp; rectangle, 
+		<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d)</font></td>
+		<td>Returns the delta of the interval specified by orientation_2d of an object 
+		that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		manhattan_area_type <b>area</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the area of an object 
+		that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>half_perimeter</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the length plus width of an object 
+		that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		coordinate_difference <b>perimeter</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the perimeter length of an object 
+		that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		orientation_2d <b>quess_orientation</b>(const T&amp; rectangle)</font></td>
+		<td>Returns the orientation in which the rectangle has a longer delta.&nbsp; 
+		Returns HORIZONTAL if the rectangle is a square.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type&gt;<br>
+		rectangle_type&amp; <b>transform</b>(rectangle_type&amp; rectangle,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_type axis = 0)</font></td>
+		<td>Applies transform() on the two points that fully describe the 
+		rectangle and sets the rectangle to that described by the result of 
+		transforming those points.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type&gt;<br>
+		rectangle_type&amp; <b>scale_up</b>(rectangle_type&amp; rectangle, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type factor)</font></td>
+		<td>Scales up x interval and y interval&nbsp; of an object that models 
+		rectangle by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type&gt;<br>
+		rectangle_type&amp; <b>scale_down</b>(rectangle_type&amp; rectangle, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; unsigned_area_type factor)</font></td>
+		<td>Scales down x interval and y interval&nbsp; of an object that models 
+		rectangle by unsigned factor.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type, scaling_type&gt;<br>
+		rectangle_type&amp; <b>scale</b>(rectangle_type&amp; rectangle,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const scaling_type&amp; scaling) </font></td>
+		<td>Applies scale() on the two points that fully describe the rectangle 
+		and sets the rectangle to that described by the result of transforming 
+		those points.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>move</b>(T&amp; rectangle, orientation_2d,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; coordinate_difference displacement)</font></td>
+		<td>Adds displacement value to interval indicated by orientation_2d of an 
+		object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type, typename point_type&gt;<br>
+		rectangle_type&amp; <b>convolve</b>(rectangle_type&amp; rectangle,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Convolves coordinate values of point with x interval and y interval&nbsp; of an 
+		object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename 
+		rectangle_type, typename point_type&gt;<br>
+		rectangle_type&amp; <b>deconvolve</b>(rectangle_type&amp; rectangle,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const point_type&amp; point)</font></td>
+		<td>Deconvolves coordinate values of point withx interval and y interval&nbsp; of 
+		an object that models rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>convolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Convolves x interval&nbsp; of b with x interval&nbsp; of a and 
+		convolves y 
+		interval&nbsp; of b with y interval&nbsp; of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>deconvolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Deconvolves x interval&nbsp; of b with x interval&nbsp; of a and 
+		deconvolves y interval&nbsp; of b with y interval&nbsp; of a. </td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>reflected_convolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Reflected convolves y interval&nbsp; of b with x interval&nbsp; of a and 
+		reflected convolves x 
+		interval&nbsp; of b with y interval&nbsp; of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T1&amp; <b>reflected_deconvolve</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Reflected deconvolves y interval&nbsp; of b with x interval&nbsp; of a and 
+		reflected deconvolves x interval&nbsp; of b with y interval&nbsp; of a.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		coordinate_difference <b>euclidean_distance</b>(const T&amp;,<br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const point_type&amp; point, 
+		orienation_2d)</font></td>
+		<td>Returns the distance from an object that models rectangle to an 
+		object that models point along the given orientation.&nbsp; Returns zero 
+		if the point is contained within the rectangle along that orientation.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, 
+		typename T2&gt;<br>
+		coordinate_difference <b>euclidean_distance</b>(const T1&amp; a,<br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const T2&amp; b, orienation_2d)</font></td>
+		<td>Returns the distance from an object that models rectangle to an 
+		object that models rectangle along the given orientation.&nbsp; Returns 
+		zero if the intervals of the rectangles overlap along that orientation.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		coordinate_difference <b>square_euclidean_distance</b>(const T&amp;,<br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const point_type&amp; point)</font></td>
+		<td>Returns the square of the Euclidean distance between a point and a 
+		rectangle.&nbsp; Returns zero if the point is contained within the 
+		rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, 
+		typename T2&gt;<br>
+		coordinate_difference <b>square_euclidean_distance</b><br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (const T1&amp; a, const T2&amp; b)</font></td>
+		<td>Returns the square of the Euclidean distance between rectangles a 
+		and b.&nbsp; Returns zero if the rectangles intersect.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		coordinate_difference <b>manhattan_distance</b>(const T&amp;,<br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const point_type&amp; point)</font></td>
+		<td>Returns the Manhattan distance between a point and a rectangle.&nbsp; 
+		Returns zero if the point is contained within the rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, 
+		typename T2&gt;<br>
+		coordinate_difference <b>manhattan_distance</b>(const T1&amp; a, <br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp; b)</font></td>
+		<td>Returns the Manhattan distance between rectangles a and b.&nbsp; 
+		Returns zero if the rectangles intersect.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, 
+		typename point_type&gt;<br>
+		coordinate_distance <b>euclidean_distance</b>(const T&amp;,<br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; const point_type&amp; point)</font></td>
+		<td>Returns the Euclidean distance between a point and a rectangle.&nbsp; 
+		Returns zero if the point is contained within the rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, 
+		typename T2&gt;<br>
+		coordinate_distance <b>euclidean_distance</b>(const T1&amp; a, <br>
+		&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp; b)</font></td>
+		<td>Returns the Euclidean distance between rectangles a and b.&nbsp; 
+		Returns zero if the rectangles intersect.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>intersects</b>(const T1&amp; a, const T2&amp; b, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true)</font></td>
+		<td>Returns true if two objects that model rectangle overlap.&nbsp; If 
+		the consider_touch flag is true touching at the sides or corners is 
+		considered overlap.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>boundaries_intersect</b>(const T1&amp; a, const T2&amp; b, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true)</font></td>
+		<td>Returns true is two objects that model rectangle partially overlap 
+		such that one there is an intersection between the edges of the two 
+		rectangles&nbsp; If the consider_touch flag is true a coordinate is 
+		considered contained even if the two rectangles touch only along a side 
+		or corner.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>abuts</b>(const T1&amp; a, const T2&amp; b,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; direction_2d dir)
+		</font></td>
+		<td>Returns true if rectangle b abuts but down not overlap rectangle a 
+		on the side of rectangle a specified by dir.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>abuts</b>(const T1&amp; a, const T2&amp; b,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d)
+		</font></td>
+		<td>Returns true if rectangle b abuts but down not overlap rectangle a 
+		on either side of rectangle a specified by the orientation_2d.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>abuts</b>(const T1&amp; a, const T2&amp; b)</font></td>
+		<td>Returns true if rectangle b abuts but down not overlap rectangle a 
+		on any side.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>intersect</b>(T1&amp; a, const T2&amp; b, orientation_2d<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true) </font></td>
+		<td>Sets rectangle a to the intersection of rectangle a and interval b 
+		along the orientation_2d 
+		and returns true.&nbsp; If the does not intersect the interval, the 
+		rectangle is unchanged and the function returns false.&nbsp; If the flag consider_touch is true 
+		intervals that abut are considered to intersect.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>intersect</b>(T1&amp; a, const T2&amp; b,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		bool consider_touch = true) </font></td>
+		<td>Sets rectangle a to the intersection of rectangle a and rectangle b 
+		and return true.&nbsp; If the two rectangles do not intersect rectangle 
+		a is unchanged and the function returns false.&nbsp; If the flag 
+		consider_touch is true rectangles that abut are considered to intersect.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		T&amp; <b>generalized_intersect</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>Same as intersect, but if they do not intersect set a to the 
+		rectangle between a and b by applying generalized_intersect() on the 
+		intervals of the rectangles.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; rectangle, coordinate_type)</font></td>
+		<td>Bloats x and y intervals of rectangle by coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; rectangle, direction_2d, coordinate_type)</font></td>
+		<td>Bloats side of rectangle specified by direction_2d by coordinate 
+		value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>bloat</b>(T&amp; rectangle, orientation_2d, coordinate_type)</font></td>
+		<td>Bloats interval of rectangle specified by orientation_2d by 
+		coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; rectangle, coordinate_type)</font></td>
+		<td>Shrinks x and y intervals of rectangle by coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; rectangle, direction_2d, coordinate_type)</font></td>
+		<td>Shrinks side of rectangle specified by direction_2d by coordinate 
+		value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T&gt;<br>
+		T&amp; <b>shrink</b>(T&amp; rectangle, orientation_2d, coordinate_type)</font></td>
+		<td>Shrinks interval of rectangle specified by orientation_2d by 
+		coordinate value.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<br>
+		bool <b>encompass</b>(T1&amp; a, const T2&amp; b)</font></td>
+		<td>The x and y intervals of a are set to encompass the x and y 
+		intervals of b respectively.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		point_type&gt;<br>
+		bool <b>encompass</b>(T&amp; rectangle, const point_type&amp; point)</font></td>
+		<td>The x and y intervals of rectangle are set to encompass the x and y 
+		coordinates of point respectively.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		interval_type&gt;<br>
+		bool <b>encompass</b>(T&amp; rectangle, const interval_type&amp; i, 
+		<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; orientation_2d)</font></td>
+		<td>The interval of rectangle specified by orientation_2d is set to encompass the 
+		interval i.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T, typename 
+		point_type&gt;<br>
+		bool <b>get_corner</b>(point_type&amp; point, const T&amp; rectangle,&nbsp; 
+		<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		direction_2d, direction_1d)</font></td>
+		<td>Sets point to the corner of the rectangle you reach if you look at 
+		its side specified by direction_2d from within the rectangle and turn in 
+		the direction_1d direction (low == left, high = right).&nbsp; Always 
+		returns true.</td>
+	</tr>
+</table>
+	<h1>Rectangle Data</h1>
+
+<p> 
+<p>The library provides a model of rectangle concept declared
+<font face="Courier New">
+template&lt;typename T&gt; rectangle_data </font>where T is the coordinate type.</p>
+<p>This data type is used internally when a rectangle is needed and is available 
+to the library user who finds it convenient to use a library rectangle data type 
+instead of providing their own.&nbsp; The data type is implemented to be 
+convenient to use with the library traits.</p>
+<h2>Members</h2>
+<table border="1" width="100%" id="table2">
+	<tr>
+		<td width="586"><b><font face="Courier New">geometry_type</font></b></td>
+		<td><font face="Times New Roman">rectangle_concept</font></td>
+	</tr>
+	<tr>
+		<td width="586"><b><font face="Courier New">coordinate_type</font></b></td>
+		<td><font face="Times New Roman">T</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>interval_type</b></font></td>
+		<td><font face="Times New Roman">interval_data&lt;T&gt;</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>rectangle_data</b>(T xl, T 
+		yl, T xh, T yh)</font></td>
+		<td><font face="Times New Roman">Constructs a rectangle with four 
+		coordinates.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T1, typename 
+		T2&gt;<b><br>
+		rectangle_data</b>(const T1&amp; horizontal_interval,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+		const T2&amp; vertical_interval)</font></td>
+		<td><font face="Times New Roman">Constructs a rectangle with two objects 
+		that model interval.</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New"><b>rectangle_data</b>(const 
+		rectangle_data&amp; that)</font></td>
+		<td><font face="Times New Roman">Copy construct</font></td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">rectangle_data&amp; <b>operator=</b>(const 
+		rectangle_data&amp; that)</font></td>
+		<td>Assignment operator.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>rectangle_data& <b> 
+		operator=</b>(const T2&amp; that) const</font></td>
+		<td>Assign from an object that is a model of rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator==</b>(const T2&amp; that) const</font></td>
+		<td>Compare equality to an object that is a model of rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<b> 
+		<br> </b>bool<b> 
+		operator!=</b>(const T2&amp; that) const</font></td>
+		<td>Compare inequality to an object that is a model of rectangle.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">interval_data&lt;T&gt; <b>get</b>(orientation_2d 
+		orient) const</font></td>
+		<td>Get the interval in the given orientation.</td>
+	</tr>
+	<tr>
+		<td width="586"><font face="Courier New">template &lt;typename T2&gt;<br>
+		void <b>set</b>(orientation_2d orient, const T2&amp; value)</font></td>
+		<td>Sets the interval in the given orientation to the value of an object 
+		that models interval.</td>
+	</tr>
+	</table>
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+&nbsp;</html>
\ No newline at end of file

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+<html>
+
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+<title>Polygon Usage</title>
+</head>
+
+<body>
+
+<h1>Layout Versus Schematic Tutorial</h1> 
+<p>In this tutorial we will implement a toy VLSI layout verification 
+application.&nbsp; In VLSI CAD an important step of design is the sign off check 
+that verifies that the physical layout as drawn by mask designers and automated 
+tools implements the logical schematic specified by design engineers.&nbsp; 
+Physical layout is modeled as polygons on layers that are used to print the 
+layout to the silicon wafer during manufacture.&nbsp; It is much better to find 
+physical design mistakes before spending millions of dollars to prepare 
+lithography masks and run a test lot of wafers.</p>
+<p>Real layout file formats are binary and often compressed and represent a 
+folded hierarchical model of layout where a group of polygons can be grouped 
+into a cell and instantiated as a group into other cells.&nbsp; For this 
+tutorial we assume a simplified ascii layout file format with no design 
+hierarchy, which we would call &quot;flat&quot; in VLSI jargon.&nbsp; Similarly we assume 
+a flat, ascii logical schematic net list file format.&nbsp; A net is a named 
+electrical connection in a circuit design.&nbsp; The goal of the layout 
+verification tutorial is to parse these two file formats, apply geometry 
+operations provided by Boost.Polygon on the layout data to generate a logical 
+schematic that represents what is implemented in the physical layout and then 
+compare the input schematic with the generated schematic to determine whether 
+they are the same.</p>
+<p>First let us define some objects that we will need in the design of our toy 
+layout verification application:</p>
+<p>Layout Rectangle: An axis-parallel rectangle with a layer associated<br>
+Layout Pin: An axis-parallel rectangle with a layer and net (electrical signal) 
+name associated<br>
+Layout Database: An associative container of layer name to polygon set<br>
+Connectivity Database: An associative container of net name to layout database<br>
+Physical Device: A specific geometric arrangement on several layers with one or 
+more input net and one output net<br>
+Logical Net: A named graph node<br>
+Logical Device: An un-named graph node with a device type<br>
+Logical Pin: A special net that defines an input or output for the circuit<br>
+Schematic Database: A graph consisting of nets and logical 
+devices</p>
+<p>Next let's define the sequence of operations performed by our toy 
+layout versus schematic application:</p>
+<p>Parse Layout: Stream layout rectangles and polygons into a layout database 
+and stream layout pins into a connectivity database<br>
+Extract Connectivity: Add polygons from layout database to connectivity database 
+by physical touch or overlap relationship<br>
+Extract Devices: Populate a schematic database with logical devices based on 
+physical devices identified within the layout geometry and extract their 
+terminals from the 
+connectivity database<br>
+Extract Net List: Complete graph represented in schematic database derived from 
+layout<br>
+Parse Schematic: Stream logical nets, devices and pins into a schematic 
+database<br>
+Compare Schematics: Evaluate whether extracted schematic database is equivalent 
+to input schematic database and output result</p>
+<p>To test our application we will extract single logic gates.&nbsp; A logic 
+gate is several transistors that work together to perform a specific logic 
+function.&nbsp; Logic functions include the commonly understood Boolean logic 
+operations such as Boolean AND, OR, XOR and INVERT.&nbsp; Also frequently used 
+are NAND and NOR, which are respectively AND and OR operations followed by an 
+INVERT operation.&nbsp; A NAND gate can be implemented in the CMOS circuit 
+family with four transistors.&nbsp; The NAND gate has two inputs and one output.&nbsp; 
+Each input goes to two transistors, one p-type transistor and one n-type 
+transistor.&nbsp; The &quot;p&quot; stands for positive and the &quot;n&quot; stands for negative.&nbsp; 
+When the p-type transistor is on 
+it pulls the output up to the same voltage as the voltage source.&nbsp; When the 
+n-type transistor is on it pulls the output down to the same voltage as the 
+ground.&nbsp; The process of creating a p-type transistor begins by &quot;doping&quot; the silicon 
+substrate to create n-type material.&nbsp; This area of n-type material will be 
+called the NWELL layer in our test data.&nbsp; Within the area of NWELL a 
+p-diffusion area is created by further doping the silicon to create p-type 
+material.&nbsp; This area of p-type material will be called PDIFF in our test 
+data.&nbsp; Through the middle of a PDIFF area bars of poly-silicon are grown 
+that create conductive lines over the diffusion area.&nbsp; The area of 
+poly-silicon material will be called POLY in our test data.&nbsp; Under some of these 
+poly-silicon lines a thin layer of silicon-oxide provides insulation but allows 
+the voltage field of the poly-silicon to interact with the diffusion.&nbsp; Each 
+of these insulated poly-silicon lines is the &quot;gate&quot; of a transistor.&nbsp; 
+The gate area will be called GATE in our test data.&nbsp; When the 
+voltage at the gate is the same as the ground voltage the p-type transistor is 
+&quot;on&quot; and can pass current from the voltage source to the output .&nbsp; The 
+poly-silicon lines that are not insulated create electrical connections to the 
+transistor for output signals and source voltage.&nbsp; The n-type transistor 
+differs from the p-type in that its diffusion is n-type material outside of NWELL area.&nbsp; Current can pass from the output to the ground when the 
+voltage at the gate of the n-type transistor is at the source voltage level.&nbsp; 
+Above the poly-silicon layer is a layer of silicon-oxide insulator with holes 
+cut out of it that get filled in with metal.&nbsp; These metal filled holes are 
+called vias and we will refer to this layer as VIA0 in our test data.&nbsp; On 
+top of VIA0 is a layer of metal polygons with silicon oxide insulator between 
+them.&nbsp; These metal polygons are wires and we will call them METAL1 in our 
+test data.&nbsp; The Layout Pins in our test data will be on METAL1.&nbsp; In a 
+NAND gate the two n-type transistors are configured in series, meaning that the 
+output of one is the input voltage source of the other.&nbsp; Only if both 
+n-type transistors of a NAND gate are &quot;on&quot; will the output be connected to 
+ground, signifying a logical &quot;false&quot;.&nbsp; The two p-type transistors in a NAND 
+gate are configured in parallel.&nbsp; If either input to the NAND gate is a 
+logical &quot;false&quot; the p-type transistor it is connected to will be &quot;on&quot; and the 
+output of the gate will be a logical &quot;true&quot; because the transistor will connect 
+it to the voltage supply.&nbsp; The diagram below is an example of how a NAND 
+gate might be laid out and is not drawn to scale for any real process 
+technology.&nbsp; The diffusion material is intended to be cut away under the 
+gate material by a Boolean NOT operation and is represented as solid bars under 
+the gates of transistors only for convenience of drawing.</p>
+<p>
+<img border="0" src="images/NAND.PNG" width="602" height="387"></p>
+<p>The following is the input layout file for the above NAND gate layout, 
+rectangle format is XL XH YL YH:</p>
+<p><font face="Courier New" size="2">Rectangle 0 60 24 48 NWELL<br>
+Rectangle 3 57 32 43 PDIFF<br>
+Rectangle 3 57 5 16 NDIFF<br>
+Rectangle 5 7 0 17 POLY<br>
+Rectangle 5 7 22 45 POLY<br>
+Rectangle 17 19 3 45 POLY<br>
+Rectangle 29 31 31 48 POLY<br>
+Rectangle 41 43 3 45 POLY<br>
+Rectangle 53 55 3 45 POLY<br>
+Rectangle 17 19 4 17 GATE<br>
+Rectangle 17 19 31 44 GATE<br>
+Rectangle 41 43 4 17 GATE<br>
+Rectangle 41 43 31 44 GATE<br>
+Rectangle 5 7 0 2 VIA0<br>
+Rectangle 5 7 23 25 VIA0<br>
+Rectangle 17 19 28 30 VIA0<br>
+Rectangle 29 31 46 48 VIA0<br>
+Rectangle 41 43 18 20 VIA0<br>
+Rectangle 53 55 23 25 VIA0<br>
+Rectangle 0 60 0 2 METAL1<br>
+Rectangle 3 57 28 30 METAL1<br>
+Rectangle 0 60 46 48 METAL1<br>
+Rectangle 3 57 18 20 METAL1<br>
+Rectangle 3 57 23 25 METAL1<br>
+Pin 29 31 0 2 METAL1 GND<br>
+Pin 29 31 23 25 METAL1 OUTPUT</font><font face="Courier New" size="2"><br>
+Pin 29 31 28 30 METAL1 INPUT1</font><font face="Courier New" size="2"><br>
+Pin 29 31 46 48 METAL1 VDD<br>
+Pin 29 31 18 20 METAL1 INPUT2</font></p>
+<p>
+<img border="0" src="images/nands.PNG" width="421" height="402"></p>
+<p>The following is the logic schematic net list file for the above NAND gate 
+schematic:</p>
+<p><font face="Courier New" size="2">Pin OUTPUT<br>Pin INPUT1<br>Pin INPUT2<br>
+Pin VDD<br>Pin GND<br>Device PTRANS VDD INPUT1 OUTPUT<br>Device PTRANS VDD 
+INPUT2 OUTPUT<br>Device NTRANS GND INPUT1 NET1<br>Device NTRANS NET1 INPUT2 
+OUTPUT</font></p>
+<p>A human can look at this schematic and compare it to the drawn layout of the 
+NAND gate above to verify that the drawn layout matches what the schematic says 
+in a few seconds.&nbsp; If you do that now you will probably find the p and 
+n-type transistors and trace the connectivity of the inputs and power to the 
+terminals of the transistors and then to the output.&nbsp; Since there are on 
+the order of one billion transistors on a single chip these days we need to go a 
+lot faster than humans can inspect layout and make fewer mistakes.&nbsp; Using polygon set operations 
+and polygon connectivity extraction provided by Boost.Polygon we will automate 
+the identification of transistors and the tracing of connectivity.&nbsp; Based 
+on this
+analysis of Boost.Polygon performance we can expect 
+this methodology to easily scale up to million gate blocks on standard 
+workstations and arbitrarily large designs given sufficient system memory.&nbsp; 
+let's start 
+by implementing some data structures for our application.</p>
+<p><font face="Courier New" size="2">struct layout_rectangle {<br>
+&nbsp; int xl, yl, xh, yh;<br>
+&nbsp; std::string layer;<br>
+};</font></p>
+<p>Our layout rectangle is nice and minimal, just enough to store its data.&nbsp; 
+It is defined in layout_rectangle.hpp. Next 
+let's implement the layout 
+pin in a similar way.</p>
+<p><font face="Courier New" size="2">struct layout_pin {<br>
+&nbsp; int xl, yl, xh, yh;<br>
+&nbsp; std::string layer;<br>
+&nbsp; std::string net;<br>
+};</font></p>
+<p>Our layout pin is defined in layout_pin.hpp.&nbsp; Now 
+let's define a layout database object and populate it from our parsed 
+layout data in in layout_database.hpp.</p>
+<p><font face="Courier New" size="2">typedef std::map&lt;std::string, 
+boost::polygon::polygon_90_set_data&lt;int&gt; &gt; layout_database;<br>
+<br>
+//map the layout rectangle data type to the boost::polygon::rectangle_concept<br>
+namespace boost { namespace polygon{<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct rectangle_traits&lt;layout_rectangle&gt; {<br>
+&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+&nbsp;&nbsp;&nbsp; typedef interval_data&lt;int&gt; interval_type;<br>
+&nbsp;&nbsp;&nbsp; static inline interval_type get(const layout_rectangle&amp; 
+rectangle, orientation_2d orient) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(orient == HORIZONTAL)<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return interval_type(rectangle.xl, 
+rectangle.xh);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return interval_type(rectangle.yl, rectangle.yh);<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct geometry_concept&lt;layout_rectangle&gt; { typedef rectangle_concept 
+type; };<br>
+}}<br>
+<br>
+//insert layout rectangles into a layout database<br>
+inline void populate_layout_database(layout_database&amp; layout, std::vector&lt;layout_rectangle&gt;&amp; 
+rects) {<br>
+&nbsp; for(std::size_t i = 0; i &lt; rects.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; layout[rects[i].layer].insert(rects[i]);<br>
+&nbsp; }<br>
+}</font></p>
+<p>We don't need to insert pins into the layout database because it doesn't know 
+anything about connectivity, just geometry.&nbsp; However, we do need to know 
+something about connectivity to compare a schematic to a layout, so we need to 
+define our connectivity database and some logical objects.&nbsp; First we define 
+an object for a logical device in device.hpp.&nbsp; 
+Since we are lazy this object does double duty as a pin and both types of 
+transistor.&nbsp; A traditional object oriented design might declare a base 
+class with virtual destructor and derive every device from that.&nbsp; Since we 
+aren't paid by the line of code let's just keep things simple.</p>
+<p><font face="Courier New" size="2">struct device {<br>
+&nbsp; std::string type;<br>
+&nbsp; std::vector&lt;std::string&gt; terminals;<br>
+};</font></p>
+<p>Now let's define a schematic database object in
+schematic_database.hpp and populate it from our parsed 
+schematic data.</p>
+<p><font face="Courier New"><font size="2">struct schematic_database{<br>
+&nbsp; std::vector&lt;device&gt; devices;<br>
+&nbsp; std::map&lt;std::string, std::set&lt;std::size_t&gt; &gt; nets;<br>
+};<br>
+<br>
+//given a vector of devices populate the map of net name to set of device index<br>
+inline void extract_netlist(std::map&lt;std::string, std::set&lt;std::size_t&gt; &gt;&amp; nets,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+std::vector&lt;device&gt;&amp; devices) {<br>
+&nbsp; for(std::size_t i = 0; i &lt; devices.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; for(std::size_t j = 0; j &lt; devices[i].terminals.size(); ++j) 
+{<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //create association between net name and device 
+id<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+nets[devices[i].terminals[j]].insert(nets[devices[i].terminals[j]].end(), i);<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; }<br>
+}</font></font></p>
+<p>Our schematic database is just a vector of devices, which are associated to 
+nets by name through their terminals and a map of net name to set of device 
+index into the vector, which completes the graph by associating nets with their 
+devices.&nbsp; Given the devices and their terminal nets we easily build the 
+mapping from nets to devices with the extract_netlist operation.&nbsp; Now we 
+are ready to start working on extracting our layout to a derived schematic 
+database.&nbsp; However, first we need to build a physical connectivity database 
+with geometry in it before we can build a logical connectivity database from the 
+layout.&nbsp; We define a simple connectivity database in
+connectivity_database.hpp as a 
+map of net name to layout database of geometry connected to that net and 
+populate it with the layout database and pin data.</p>
+<p><font size="2" face="Courier New">typedef std::map&lt;std::string, 
+layout_database &gt; connectivity_database;<br>
+<br>
+//map layout pin data type to boost::polygon::rectangle_concept<br>
+namespace boost { namespace polygon{<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct rectangle_traits&lt;layout_pin&gt; {<br>
+&nbsp;&nbsp;&nbsp; typedef int coordinate_type;<br>
+&nbsp;&nbsp;&nbsp; typedef interval_data&lt;int&gt; interval_type;<br>
+&nbsp;&nbsp;&nbsp; static inline interval_type get(const layout_pin&amp; pin, 
+orientation_2d orient) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(orient == HORIZONTAL)<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return interval_type(pin.xl, pin.xh);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; return interval_type(pin.yl, pin.yh);<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; };<br>
+<br>
+&nbsp; template &lt;&gt;<br>
+&nbsp; struct geometry_concept&lt;layout_pin&gt; { typedef rectangle_concept type; };<br>
+}}</font></p>
+<p><font size="2" face="Courier New">//given a layout_database we populate a 
+connectivity database<br>
+inline void populate_connectivity_database(connectivity_database&amp; connectivity,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+std::vector&lt;layout_pin&gt;&amp; pins, layout_database&amp; layout) {<br>
+&nbsp; using namespace boost::polygon;<br>
+&nbsp; using namespace boost::polygon::operators;<br>
+&nbsp; for(std::size_t i = 0; i &lt; pins.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; connectivity[pins[i].net][pins[i].layer].insert(pins[i]);<br>
+&nbsp; }<br>
+&nbsp; int internal_net_suffix = 0;<br>
+&nbsp; //connect metal1 layout to pins which were on metal1<br>
+&nbsp; connect_layout_to_layer(connectivity, layout[&quot;METAL1&quot;], &quot;METAL1&quot;, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+&quot;METAL1&quot;, &quot;__internal_net_&quot;, internal_net_suffix);<br>
+&nbsp; //connect via0 layout to metal1<br>
+&nbsp; connect_layout_to_layer(connectivity, layout[&quot;VIA0&quot;], &quot;VIA0&quot;, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+&quot;METAL1&quot;, &quot;__internal_net_&quot;, internal_net_suffix);<br>
+&nbsp; //poly needs to have gates subtracted from it to prevent shorting through 
+transistors<br>
+&nbsp; polygon_set poly_not_gate = layout[&quot;POLY&quot;] - layout[&quot;GATE&quot;];<br>
+&nbsp; //connect poly minus gate to via0<br>
+&nbsp; connect_layout_to_layer(connectivity, poly_not_gate, &quot;POLY&quot;, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+&quot;VIA0&quot;, &quot;__internal_net_&quot;, internal_net_suffix);<br>
+&nbsp; //we don't want to short signals through transistors so we subtract the 
+gate regions<br>
+&nbsp; //from the diffusions<br>
+&nbsp; polygon_set diff_not_gate = (layout[&quot;PDIFF&quot;] + layout[&quot;NDIFF&quot;]) - 
+layout[&quot;GATE&quot;];<br>
+&nbsp; //connect diffusion minus gate to poly<br>
+&nbsp; //Note that I made up the DIFF layer name for combined P and NDIFF<br>
+&nbsp; connect_layout_to_layer(connectivity, diff_not_gate, &quot;DIFF&quot;, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+&quot;POLY&quot;, &quot;__internal_net_&quot;, internal_net_suffix);<br>
+&nbsp; //connect gate to poly to make connections through gates on poly<br>
+&nbsp; connect_layout_to_layer(connectivity, layout[&quot;GATE&quot;], &quot;GATE&quot;, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+&quot;POLY&quot;, &quot;__internal_net_&quot;, internal_net_suffix);<br>
+&nbsp; //now we have traced connectivity of the layout down to the transistor 
+level<br>
+&nbsp; //any polygons not connected to pins have been assigned internal net 
+names<br>
+}</font></p>
+<p>This populate connectivity database function is our first real use of 
+Boost.Polygon in our application.&nbsp; Here we are doing Boolean (polygon set) 
+operations on layout layers to merge together the PDIFF and NDIFF layers and cut 
+away the GATE layer from the result, for example.&nbsp; We connect up the layout 
+starting from the pins and working our way down the layer stack to the 
+transistor level.&nbsp; It would work equally well to work our way up the layer 
+stack, or connect things up in any order, really, but this way produces fewer 
+internal temporary nets that need to be merged when connections between them are 
+discovered later.&nbsp; The connect layout to layer function used above needs to 
+be implemented before we can populate our connectivity database.</p>
+<p><font size="2" face="Courier New">inline void 
+connect_layout_to_layer(connectivity_database&amp; connectivity, polygon_set&amp; 
+layout, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+std::string layout_layer, std::string layer,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+std::string net_prefix, int&amp; net_suffix) {<br>
+&nbsp; if(layout_layer.empty())<br>
+&nbsp;&nbsp;&nbsp; return;<br>
+&nbsp; boost::polygon::connectivity_extraction_90&lt;int&gt; ce;<br>
+&nbsp; std::vector&lt;std::string&gt; net_ids;<br>
+&nbsp; for(connectivity_database::iterator itr = connectivity.begin(); itr != 
+connectivity.end(); ++itr) {<br>
+&nbsp;&nbsp;&nbsp; net_ids.push_back((*itr).first);<br>
+&nbsp;&nbsp;&nbsp; ce.insert((*itr).second[layer]);<br>
+&nbsp; }<br>
+&nbsp; std::vector&lt;polygon&gt; polygons;<br>
+&nbsp; layout.get_polygons(polygons);<br>
+&nbsp; std::size_t polygon_id_offset = net_ids.size();<br>
+&nbsp; for(std::size_t i = 0; i &lt; polygons.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; ce.insert(polygons[i]);<br>
+&nbsp; }<br>
+&nbsp; std::vector&lt;std::set&lt;int&gt; &gt; graph(polygons.size() + net_ids.size(), 
+std::set&lt;int&gt;());<br>
+&nbsp; ce.extract(graph);<br>
+&nbsp; std::vector&lt;int&gt; polygon_color(polygons.size() + net_ids.size(), 0);<br>
+&nbsp; //for each net in net_ids populate connected component with net<br>
+&nbsp; for(std::size_t node_id = 0; node_id &lt; net_ids.size(); ++node_id) {<br>
+&nbsp;&nbsp;&nbsp; populate_connected_component(connectivity, polygons, 
+polygon_color, graph, node_id, <br>
+&nbsp;&nbsp;&nbsp; polygon_id_offset, net_ids[node_id], net_ids, <br>
+&nbsp;&nbsp;&nbsp; net_prefix, layout_layer);<br>
+&nbsp; }<br>
+&nbsp; //for each polygon_color that is zero populate connected component with 
+net_prefix + net_suffix++<br>
+&nbsp; for(std::size_t i = 0; i &lt; polygons.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; if(polygon_color[i + polygon_id_offset] == 0) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; std::stringstream ss(std::stringstream::in | 
+std::stringstream::out);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ss &lt;&lt; net_prefix &lt;&lt; net_suffix++;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; std::string internal_net; <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ss &gt;&gt; internal_net;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; populate_connected_component(connectivity, 
+polygons, polygon_color, graph, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; i + polygon_id_offset, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; polygon_id_offset, internal_net, net_ids, <br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; net_prefix, layout_layer);<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; }<br>
+}</font></p>
+<p>The connect layout to layer function uses the connectivity extraction feature 
+of Boost.Polyon to build a connectivity graph for polygons on the input polygon 
+set and in the connectivity database on the specified layer.&nbsp; It then finds 
+polygons associated with existing nets in the connectivity database through 
+graph traversal and inserts them into the connectivity database.&nbsp; Finally, 
+polygons that weren't connected to existing nets are inserted into the 
+connectivity database on auto-generated internal net names.&nbsp; The insertion 
+of a connected component into the connectivity database is handled by the 
+recursive traversal of the connectivity graph that we implement next.</p>
+<p><font size="2" face="Courier New">inline void populate_connected_component<br>
+(connectivity_database&amp; connectivity, std::vector&lt;polygon&gt;&amp; polygons, <br>
+&nbsp;std::vector&lt;int&gt; polygon_color, std::vector&lt;std::set&lt;int&gt; &gt;&amp; graph, <br>
+&nbsp;std::size_t node_id, std::size_t polygon_id_offset, std::string&amp; net, <br>
+&nbsp;std::vector&lt;std::string&gt;&amp; net_ids, std::string net_prefix,<br>
+&nbsp;std::string&amp; layout_layer) {<br>
+&nbsp; if(polygon_color[node_id] == 1)<br>
+&nbsp;&nbsp;&nbsp; return;<br>
+&nbsp; polygon_color[node_id] = 1;<br>
+&nbsp; if(node_id &lt; polygon_id_offset &amp;&amp; net_ids[node_id] != net) {<br>
+&nbsp;&nbsp;&nbsp; //merge nets in connectivity database<br>
+&nbsp;&nbsp;&nbsp; //if one of the nets is internal net merge it into the other<br>
+&nbsp;&nbsp;&nbsp; std::string net1 = net_ids[node_id];<br>
+&nbsp;&nbsp;&nbsp; std::string net2 = net;<br>
+&nbsp;&nbsp;&nbsp; if(net.compare(0, net_prefix.length(), net_prefix) == 0) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; net = net1;<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; std::swap(net1, net2);<br>
+&nbsp;&nbsp;&nbsp; } else {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; net_ids[node_id] = net;<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; connectivity_database::iterator itr = 
+connectivity.find(net1);<br>
+&nbsp;&nbsp;&nbsp; if(itr != connectivity.end()) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; for(layout_database::iterator itr2 = (*itr).second.begin();<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; itr2 != (*itr).second.end(); 
+++itr2) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; connectivity[net2][(*itr2).first].insert((*itr2).second);<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; connectivity.erase(itr);<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; }<br>
+&nbsp; if(node_id &gt;= polygon_id_offset)<br>
+&nbsp; connectivity[net][layout_layer].insert(polygons[node_id - 
+polygon_id_offset]);<br>
+&nbsp; for(std::set&lt;int&gt;::iterator itr = graph[node_id].begin();<br>
+&nbsp; itr != graph[node_id].end(); ++itr) {<br>
+&nbsp;&nbsp;&nbsp; populate_connected_component(connectivity, polygons, 
+polygon_color, graph, <br>
+&nbsp;&nbsp;&nbsp; *itr, polygon_id_offset, net, net_ids, net_prefix, 
+layout_layer);<br>
+&nbsp; }<br>
+}<br>
+<br>
+</font>We want to merge internally generated nets into pin nets, which is the 
+most complicated part of this simple procedure.&nbsp; Now that we have our 
+connectivity database extracted from pins down to transistors we need to extract 
+our transistors and establish the relationship between transistor terminals and 
+nets in our connectivity database.&nbsp; First let's extract transistors with 
+the functions defined in defined in <a href="tutorial/extract_devices.hpp">
+extract_devices.hpp</a>.</p>
+<p><font size="2" face="Courier New">typedef boost::polygon::connectivity_extraction_90&lt;int&gt; 
+connectivity_extraction;<br>
+inline std::vector&lt;std::set&lt;int&gt; &gt;<br>
+extract_layer(connectivity_extraction&amp; ce, std::vector&lt;std::string&gt;&amp; net_ids,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+connectivity_database&amp; connectivity, polygon_set&amp; layout,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+std::string layer) {<br>
+&nbsp; for(connectivity_database::iterator itr = connectivity.begin(); itr != 
+connectivity.end(); ++itr) {<br>
+&nbsp;&nbsp;&nbsp; net_ids.push_back((*itr).first);<br>
+&nbsp;&nbsp;&nbsp; ce.insert((*itr).second[layer]);<br>
+&nbsp; }<br>
+&nbsp; std::vector&lt;polygon&gt; polygons;<br>
+&nbsp; layout.get_polygons(polygons);<br>
+&nbsp; for(std::size_t i = 0; i &lt; polygons.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; ce.insert(polygons[i]);<br>
+&nbsp; }<br>
+&nbsp; std::vector&lt;std::set&lt;int&gt; &gt; graph(polygons.size() + net_ids.size(), 
+std::set&lt;int&gt;());<br>
+&nbsp; ce.extract(graph);<br>
+&nbsp; return graph;<br>
+}</font></p>
+<p>This extract layer algorithm constructs a connectivity graph between polygons 
+in the input polygon set and polygons in the given layer of the connectivity 
+database.&nbsp; It is used to form the association between transistors and their 
+terminal nets in the function for extracting a specific transistor type.</p>
+<p><font size="2" face="Courier New">inline void extract_device_type(std::vector&lt;device&gt;&amp; 
+devices, connectivity_database&amp; connectivity,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+polygon_set&amp; layout, std::string type) {<br>
+&nbsp; //recall that P and NDIFF were merged into one DIFF layer in the 
+connectivity database<br>
+&nbsp; //find the two nets on the DIFF layer that interact with each transistor<br>
+&nbsp; //and then find the net on the poly layer that interacts with each 
+transistor<br>
+&nbsp; boost::polygon::connectivity_extraction_90&lt;int&gt; cediff;<br>
+&nbsp; std::vector&lt;std::string&gt; net_ids_diff;<br>
+&nbsp; std::vector&lt;std::set&lt;int&gt; &gt; graph_diff =<br>
+&nbsp;&nbsp;&nbsp; extract_layer(cediff, net_ids_diff, connectivity, layout, 
+&quot;DIFF&quot;);<br>
+&nbsp; boost::polygon::connectivity_extraction_90&lt;int&gt; cepoly;<br>
+&nbsp; std::vector&lt;std::string&gt; net_ids_poly;<br>
+&nbsp; std::vector&lt;std::set&lt;int&gt; &gt; graph_poly =<br>
+&nbsp;&nbsp;&nbsp; extract_layer(cepoly, net_ids_poly, connectivity, layout, 
+&quot;POLY&quot;);<br>
+&nbsp; std::vector&lt;device&gt; tmp_devices(graph_diff.size() - net_ids_poly.size());<br>
+&nbsp; for(std::size_t i = net_ids_poly.size(); i &lt; graph_diff.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; tmp_devices[i - net_ids_diff.size()].type = type;<br>
+&nbsp;&nbsp;&nbsp; tmp_devices[i - net_ids_diff.size()].terminals = std::vector&lt;std::string&gt;(3, 
+std::string());<br>
+&nbsp;&nbsp;&nbsp; std::size_t j = 0;<br>
+&nbsp;&nbsp;&nbsp; for(std::set&lt;int&gt;::iterator itr = graph_diff[i].begin();<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; itr != graph_diff[i].end(); ++itr, 
+++j) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(j == 0) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; tmp_devices[i - net_ids_diff.size()].terminals[0] 
+= net_ids_diff[*itr];<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; } else if(j == 1) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; tmp_devices[i - net_ids_diff.size()].terminals[2] 
+= net_ids_diff[*itr];<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; } else {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //error, too many diff connections<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; tmp_devices[i - net_ids_diff.size()].terminals 
+= std::vector&lt;std::string&gt;(3, std::string());<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; j = 0;<br>
+&nbsp;&nbsp;&nbsp; for(std::set&lt;int&gt;::iterator itr = graph_poly[i].begin();<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; itr != graph_poly[i].end(); ++itr, 
+++j) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; if(j == 0) {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; tmp_devices[i - net_ids_diff.size()].terminals[1] 
+= net_ids_poly[*itr];<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; } else {<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; //error, too many poly connections<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; tmp_devices[i - net_ids_poly.size()].terminals 
+= std::vector&lt;std::string&gt;(3, std::string());<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<br>
+&nbsp;&nbsp;&nbsp; }<br>
+&nbsp; }<br>
+<br>
+&nbsp; devices.insert(devices.end(), tmp_devices.begin(), tmp_devices.end());<br>
+}</font></p>
+<p>We append transistors onto the vector of devices with their terminals 
+populated with net names extracted from the connectivity database.&nbsp; 
+Transistors' terminals are connected through the POLY and DIFF layers where DIFF 
+contains both PDIFF and NDIFF.&nbsp; The connection to POLY layer is the gate of 
+the transistor while the connections to DIFF on either side of the channel of 
+the transistor are the source and drain.&nbsp; We can use this to extract are p 
+and n-type transistors. <font size="2" face="Courier New"><br>
+<br>
+//populates vector of devices based on connectivity and layout data<br>
+inline void extract_devices(std::vector&lt;device&gt;&amp; devices, connectivity_database&amp; 
+connectivity,<br>
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
+layout_database&amp; layout) {<br>
+&nbsp; using namespace boost::polygon::operators;<br>
+&nbsp; //p-type transistors are gate that interact with p diffusion and nwell<br>
+&nbsp; polygon_set ptransistors = layout[&quot;GATE&quot;];<br>
+&nbsp; ptransistors.interact(layout[&quot;PDIFF&quot;]);<br>
+&nbsp; ptransistors.interact(layout[&quot;NWELL&quot;]);<br>
+&nbsp; //n-type transistors are gate that interact with n diffusion and not 
+nwell<br>
+&nbsp; polygon_set ntransistors = layout[&quot;GATE&quot;];<br>
+&nbsp; ntransistors.interact(layout[&quot;NDIFF&quot;]);<br>
+&nbsp; polygon_set not_ntransistors = ntransistors;<br>
+&nbsp; not_ntransistors.interact(layout[&quot;NWELL&quot;]);<br>
+&nbsp; ntransistors -= not_ntransistors;<br>
+&nbsp; extract_device_type(devices, connectivity, ptransistors, &quot;PTRANS&quot;);<br>
+&nbsp; extract_device_type(devices, connectivity, ntransistors, &quot;NTRANS&quot;);<br>
+}</font></p>
+<p>The extract devices procedure makes some more use of Boost.Polygon Boolean 
+operations on the layout data when we exclude GATE material over NDIFF that 
+isn't also over NWELL to extract our n-type transistors.&nbsp; We also are using 
+the &quot;interact&quot; operation on polygon gets, which is implemented in terms of 
+connectivity extraction and retains all polygons of a polygon set that touch or 
+overlap polygons from another polygon set.&nbsp; Now that we have a vector of 
+devices we can build a schematic database by calling the extract_netlist 
+function.&nbsp; We can then compare the extracted schematic from the schematic 
+read in from file with the functions defined in
+compare_schematics.hpp.&nbsp; 
+Since comparing two schematics has no geometric aspect we won't go into that 
+procedure here in the tutorial and will skip to the integration of all these 
+procedures in defined in extract.cpp to build 
+the layout to schematic comparison algorithm.</p>
+<p><font size="2" face="Courier New">bool compare_files(std::string layout_file, 
+std::string schematic_file) {<br>
+&nbsp; std::ifstream sin(schematic_file.c_str());<br>
+&nbsp; std::ifstream lin(layout_file.c_str());<br>
+<br>
+&nbsp; std::vector&lt;layout_rectangle&gt; rects;<br>
+&nbsp; std::vector&lt;layout_pin&gt; pins;<br>
+&nbsp; parse_layout(rects, pins, lin);<br>
+<br>
+&nbsp; schematic_database reference_schematic;<br>
+&nbsp; parse_schematic_database(reference_schematic, sin);<br>
+<br>
+&nbsp; layout_database layout;<br>
+&nbsp; populate_layout_database(layout, rects);<br>
+<br>
+&nbsp; connectivity_database connectivity;<br>
+&nbsp; populate_connectivity_database(connectivity, pins, layout);<br>
+<br>
+&nbsp; schematic_database schematic;<br>
+&nbsp; std::vector&lt;device&gt;&amp; devices = schematic.devices;<br>
+&nbsp; for(std::size_t i = 0; i &lt; pins.size(); ++i) {<br>
+&nbsp;&nbsp;&nbsp; devices.push_back(device());<br>
+&nbsp;&nbsp;&nbsp; devices.back().type = &quot;PIN&quot;;<br>
+&nbsp;&nbsp;&nbsp; devices.back().terminals.push_back(pins[i].net);<br>
+&nbsp; }<br>
+&nbsp; extract_devices(devices, connectivity, layout);<br>
+&nbsp; extract_netlist(schematic.nets, devices);<br>
+&nbsp; return compare_schematics(reference_schematic, schematic);<br>
+}</font></p>
+<p><font face="Courier New" size="2">int main(int argc, char **argv) {<br>
+&nbsp; if(argc &lt; 3) {<br>
+&nbsp;&nbsp;&nbsp; std::cout &lt;&lt; &quot;usage: &quot; &lt;&lt; argv[0] &lt;&lt; &quot; &lt;layout_file&gt; &lt;schematic_file&gt;&quot; 
+&lt;&lt; std::endl;<br>
+&nbsp;&nbsp;&nbsp; return -1;<br>
+&nbsp; }<br>
+&nbsp; bool result = compare_files(argv[1], argv[2]);<br>
+&nbsp; if(result == false) {<br>
+&nbsp;&nbsp;&nbsp; std::cout &lt;&lt; &quot;Layout does not match schematic.&quot; &lt;&lt; std::endl;<br>
+&nbsp;&nbsp;&nbsp; return 1;<br>
+&nbsp; } <br>
+&nbsp; std::cout &lt;&lt; &quot;Layout does match schematic.&quot; &lt;&lt; std::endl;<br>
+&nbsp; return 0;<br>
+}<br>
+<br>
+</font>We test the program with two schematics and three layouts.&nbsp; These 
+include a nand and a nor gate layout and schematic as well as an incorrect nand 
+gate layout.&nbsp; The nand layout and schematic are the same as shown above.<font face="Courier New" size="2">
+</font></p>
+<p><font face="Courier New" size="2">&gt; lvs<br>
+usage: lvs &lt;layout_file&gt; &lt;schematic_file&gt;<br>
+&gt; lvs nand.layout nand.schematic <br>
+Layout does match schematic.<br>
+&gt; lvs nand_short.layout nand.schematic <br>
+Layout does not match schematic.<br>
+&gt; lvs nand.layout nor.schematic <br>
+Layout does not match schematic.<br>
+&gt; lvs nor.layout nor.schematic <br>
+Layout does match schematic.<br>
+&gt; lvs nor.layout nand.schematic <br>
+Layout does not match schematic.</font></p>
+<p>This concludes our tutorial on how to build a simple layout to schematic 
+verification application based on Boost.Polygon library capabilities.&nbsp; The 
+implementation of this application made many simplifying assumptions that are 
+not valid in the real world and hard coded a lot of things that need to be 
+configurable in a real layout verification application.&nbsp; However, it does 
+give an idea of how to use Boost.Polygon to solve real problems and points in 
+the direction of how a real application might use Boost.Polygon.</p>
+
+
+<table class="docinfo" rules="none" frame="void" id="table1">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</body>
+
+</html>
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@@ -0,0 +1,236 @@
+<!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" xml:lang="en" lang="en"><head><!--
+    Copyright 2009-2010 Intel Corporation
+    license banner
+-->
+<title>Boost Polygon Library: Main Page</title>
+    <meta http-equiv="content-type" content="text/html;charset=ISO-8859-1">
+    <!-- <link type="text/css" rel="stylesheet" href="adobe_source.css"> -->
+<table style="margin: 0pt; padding: 0pt; width: 100%;" border="0" cellpadding="0" cellspacing="0"><tbody><tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/boost.png" width="277" height="86"><a title="www.boost.org home page" href="http://www.boost.org/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>
+    <div style="margin: 5px;">
+        <h3 class="navbar">Contents</h3>
+        <ul>
+            <li>Boost.Polygon Main Page</li>
+			<li>Design Overview</li>
+			<li>Isotropy</li>
+            <li>Coordinate Concept</li>
+            <li>Interval Concept</li>
+            <li>
+			Point Concept</li>
+			<li>Rectangle Concept</li>
+			<li>Polygon 90 Concept</li>
+			<li>Polygon 90 With Holes Concept</li>
+			<li>Polygon 45 Concept</li>
+			<li>Polygon 45 With Holes Concept</li>
+			<li>Polygon Concept</li>
+			<li>Polygon With Holes Concept</li>
+			<li>Polygon 90 Set Concept</li>
+			<li>Polygon 45 Set Concept</li>
+			<li>Polygon Set Concept</li>
+			<li>Connectivity Extraction 90</li>
+			<li>Connectivity Extraction 45</li>
+			<li>Connectivity Extraction</li>
+			<li>Property Merge 90</li>
+			<li>Property Merge 45</li>
+			<li>Property Merge</li>
+        </ul>
+        <h3 class="navbar">Other Resources</h3>
+        <ul>
+            <li>GTL Boostcon 2009 Paper</li>
+             <li><a href="GTL_boostcon_draft03.htm">GTL Boostcon 2009 
+				Presentation</a></li>
+             <li>Performance Analysis</li>
+			<li>Layout Versus Schematic Tutorial</li>
+			<li>Minkowski Sum Tutorial</li>
+        </ul>
+    </div>
+        <h3 class="navbar">Polygon Sponsor</h3>
+    <div style="padding: 5px;" align="center">
+        <img border="0" src="images/intlogo.gif" width="127" height="51"><a title="www.adobe.com home page" href="http://www.adobe.com/" tabindex="2" style="border: medium none ;">
+            </a>
+    </div>    
+</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+<!-- End Header -->
+
+<br>
+<p>
+</p><h1>THE BOOST.POLYGON LIBRARY</h1> 
+<p>The Boost.Polygon library provides algorithms focused on manipulating planar 
+polygon geometry data.&nbsp; Specific algorithms provided are the polygon set 
+operations (intersection, union, difference, disjoint-union) and related 
+algorithms such as polygon connectivity graph extraction, offsetting and map-overlay.&nbsp; 
+An example of the disjoint-union (XOR) of figure a and figure b is shown below 
+in figure c.&nbsp; 
+These so-called Boolean algorithms are of significant interest in GIS (Geospatial Information 
+Systems), VLSI CAD as well al other fields of CAD, and many more application 
+areas, and providing them is the primary focus of this library.&nbsp; The 
+Boost.Polygon library is not intended to cover all of computational 
+geometry in its scope, and provides a set of capabilities for working with 
+coordinates, points, intervals and rectangles that are needed to support 
+implementing and interacting with polygon data structures and algorithms.&nbsp; </p><img border="0" src="images/hand.png" width="837" height="277"><p>
+The coordinate data type is a template parameter of all data types and 
+algorithms provided by the library, and is expected to be integral.&nbsp; 
+Floating point coordinate data types are not supported by the algorithms 
+implemented in the library due to the fact that the achieving floating point 
+robustness implies a different set of algorithms and generally platform specific 
+assumptions about floating point representations.&nbsp;
+For additional detailed discussion of the library and its implementation 
+including benchmark comparisons with other open source alternatives please see 
+the paper and
+presentation from
+boostcon 2009 as well as a detailed
+analysis of the runtime complexity of 
+the library's core algorithms. </p>
+<p>The design philosophy behind the polygon library was to create an API for 
+invoking the library algorithms it provides on user geometry data types that is maximally 
+intuitive, minimally error-prone and easy to integrate into pre-existing 
+applications.&nbsp; C++-concepts based template meta-programming combined with 
+generic operator overloading meets these design goals without sacrificing the 
+runtime or memory efficiency of the underlying algorithms.&nbsp; The API is 
+intended to demonstrate what could be achieved with ease by a C++-concepts based 
+library interface, but is implemented based on current language features.&nbsp; This API makes 
+the following code snippet that operates on non-library geometry types possible:</p>
+<p:colorscheme
+ colors="#ffffff,#000000,#808080,#000000,#bbe0e3,#333399,#009999,#99cc00"/>
+
+<div v:shape="_x0000_s1026" class="O">
+	<div style="text-align:justify;mso-char-wrap:1;mso-kinsoku-overflow:1">
+		<nobr>
+		<span style="font-family: Courier New; mso-ascii-font-family: Courier New; mso-bidi-font-family: Arial; mso-hansi-font-family: Courier New">
+		void foo(list&lt;CPolygon&gt;&amp; result, const list&lt;CPolygon&gt;&amp; a, </span></nobr><br>
+		<span style="font-family: Courier New">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
+		</span><nobr>
+		<span style="font-family: Courier New; mso-ascii-font-family: Courier New; mso-bidi-font-family: Arial; mso-hansi-font-family: Courier New">
+		const list&lt;CPolygon&gt;&amp; 
+		b, int deflateValue) { </span></nobr></div>
+	<div style="text-align:justify;mso-char-wrap:1;mso-kinsoku-overflow:1">
+		<nobr>
+<span style="font-family: Courier New; mso-ascii-font-family: Courier New; mso-bidi-font-family: Arial; mso-hansi-font-family: Courier New">&nbsp;&nbsp;&nbsp;&nbsp; 
+		CBoundingBox domainExtent; </span></nobr></div>
+	<div style="text-align:justify;mso-char-wrap:1;mso-kinsoku-overflow:1">
+		<nobr>
+		<span style="font-family: Courier New; mso-ascii-font-family: Courier New; mso-bidi-font-family: Arial; mso-hansi-font-family: Courier New">
+		<span style="mso-spacerun:yes">&nbsp; </span>&nbsp;&nbsp; using namespace boost::polygon::operators; </span></nobr></div>
+	<div style="text-align:justify;mso-char-wrap:1;mso-kinsoku-overflow:1">
+		<nobr>
+		<span style="font-family: Courier New; mso-ascii-font-family: Courier New; mso-bidi-font-family: Arial; mso-hansi-font-family: Courier New">
+		<span style="mso-spacerun:yes">&nbsp; </span>&nbsp;&nbsp; 
+		boost::polygon::extents(domainExtent, a); </span></nobr></div>
+	<div style="text-align:justify;mso-char-wrap:1;mso-kinsoku-overflow:1">
+		<nobr>
+		<span style="font-family: Courier New; mso-ascii-font-family: Courier New; mso-bidi-font-family: Arial; mso-hansi-font-family: Courier New">
+		<span style="mso-spacerun:yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>result += (b &amp; 
+		domainExtent) ^ (a - deflateValue); </span></nobr></div>
+	<div style="text-align:justify;mso-char-wrap:1;mso-kinsoku-overflow:1">
+		<nobr>
+		<span style="font-family: Courier New; mso-ascii-font-family: Courier New; mso-bidi-font-family: Arial; mso-hansi-font-family: Courier New">
+		}</span></nobr></div>
+</div>
+<p>In the code snippet above the hypothetical polygon type CPolygon has been 
+mapped to the library polygon concept and is used with library APIs to clip 
+polygon list <i>b</i> against the bounding box of polygon list <i>a</i> and apply the 
+disjoint-union of that with polygon list <i>a</i> deflated by some integer amount.&nbsp; 
+The end result is accumulated into a list of polygons with a union operation.&nbsp; 
+It is considerably more typing to describe this usage of the API than to code 
+it, and the description is not much clearer than the code itself.&nbsp; 
+A picture is worth a thousand words.</p>
+<p><img border="0" src="images/foo.PNG" width="432" height="371"></p>
+<p>In Boost.Polygon operations such as those shown above are free functions named for what they do, or are overloads of C++ operators that make it 
+easy to infer from reading the code what to expect.&nbsp; Operators are 
+contained in the namespace <font face="Courier New">boost::polygon::operators</font> 
+so that they can be used outside the <font face="Courier New">boost::polygon</font> 
+namespace without bringing in the entire <font face="Courier New">boost::polygon</font> 
+namespace.&nbsp; Following the 
+principle of least astonishment, the inferred behavior should generally match 
+the actual behavior.&nbsp; Conventions such as argument ordering (output 
+arguments come first) and consistently applying the same semantics across 
+different functions (accumulate) reduces the learning curve for new users while reducing the 
+need to memorize semantics and argument ordering of many different functions for 
+advanced users.</p>
+<p>While the internal library code that implements this API is usually complex and 
+cryptic due to heavy use of template meta-programming, the application of the library 
+API in user code is usually simple and clear because it is free of any 
+extraneous syntax.&nbsp; The one exception to this is the mapping of user types 
+to library concepts, which necessitates that the user perform some simple 
+template programming and understand some of the internals of how the library 
+concept type system works.&nbsp; The examples below should aid the user in 
+performing these programming tasks.</p>
+<ul>
+
+<li>Example files:
+    <ul>
+        <li>point_usage.cpp Using the 
+		library provided point data type and functions</li>
+		<li>custom_point.cpp Mapping a 
+		user defined point class to the library point_concept</li>
+        <li>polygon_usage.cpp Using 
+		the library provided polygon data types and functions</li>
+        <li>custom_polygon.cpp Mapping a 
+		user defined polygon class to the library polygon_concept</li>
+        <li>polygon_set_usage.cpp Using 
+		the library provided polygon set data types and functions</li>
+		<li>custom_polygon_set.cpp 
+		Mapping a user defined class to the library polygon_set_concept</li>
+		<li>connectivity_extraction_usage.cpp 
+		Using the connectivity extraction algorithm to build a connectivity 
+		graph on polygons</li>
+		<li>property_merge_usage.cpp 
+		Using the n-layer map-overlay algorithm on polygon data</li>
+    </ul>
+
+<li>Tutorials: 
+<ul>
+	<li>Layout Versus Schematic Learn how to 
+	apply Boost.Polygon capabilities to implement a simplified circuit 
+	extraction application</li>
+	<li>Minkowski Sum Learn how to 
+	apply Boost.Polygon capabilities to implement Minkowski sum of polygon sets</li>
+</ul>
+
+</ul>
+
+
+<p>We would like to thank: Thomas Klimpel, Frank Mori Hess, Barend Gehrels, 
+Andreas Fabri, Jeffrey Hellrung, Tim Keitt, Markus Werle, Paul A. Bristow, 
+Robert Stewart, Mathias Gaunard, Michael Fawcett, Steven Watanabe, Joachim 
+Faulhaber, John Bytheway, Sebastian Redl, Mika Heiskanen, John Phillips, Kai 
+Benndorf, Hartmut Kaiser, Arash Partow, Maurizio Vitale, Brandon Kohn, David 
+Abrahams, Gordon Woodhull, Daniel James, John Maddock, Tom Brinkman, Bo Persson, 
+Mateusz Loskot, Christian Henning, Jean-Sebastien Stoezel, for providing 
+feedback and or formal review of the library as part of the boost submission 
+process and Fernando Cacciola for graciously serving as review manager.</p>
+
+
+	<tr>
+<td style="background-color: rgb(238, 238, 238);" nowrap="1" valign="top">
+    &nbsp;</td>
+<td style="padding-left: 10px; padding-right: 10px; padding-bottom: 10px;" valign="top" width="100%">
+
+
+<table class="docinfo" rules="none" frame="void" id="table2">
+	<colgroup>
+		<col class="docinfo-name"><col class="docinfo-content">
+	</colgroup>
+	<tbody vAlign="top">
+		<tr>
+			<th class="docinfo-name">Copyright:</th>
+			<td>Copyright © Intel Corporation 2008-2010.</td>
+		</tr>
+		<tr class="field">
+			<th class="docinfo-name">License:</th>
+			<td class="field-body">Distributed under the Boost Software License, 
+			Version 1.0. (See accompanying file <tt class="literal">
+			<span class="pre">LICENSE_1_0.txt</span></tt> or copy at
+			<a class="reference" target="_top" href="http://www.boost.org/LICENSE_1_0.txt">
+			http://www.boost.org/LICENSE_1_0.txt>)</td>
+		</tr>
+</table>
+
+</html>
\ No newline at end of file

Added: trunk/libs/polygon/doc/tutorial/compare_schematics.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/compare_schematics.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,96 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+//compare_schematics.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_COMPARE_SCHEMATICS_HPP
+#define BOOST_POLYGON_TUTORIAL_COMPARE_SCHEMATICS_HPP
+#include <string>
+#include "schematic_database.hpp"
+
+bool compare_connectivity(std::string& ref_net, std::string& net,
+                          schematic_database& reference_schematic,
+                          schematic_database& schematic,
+                          std::vector<std::size_t>& reference_to_internal_device_map,
+                          std::size_t node_id) {
+  std::set<std::size_t>& ref_nodes = reference_schematic.nets[ref_net];
+  std::set<std::size_t>& nodes = schematic.nets[net];
+  for(std::set<std::size_t>::iterator itr = ref_nodes.begin();
+      itr != ref_nodes.end() && *itr < node_id; ++itr) {
+    if(nodes.find(reference_to_internal_device_map[*itr]) == nodes.end())
+      return false;
+  }
+  return true;
+}
+
+bool compare_schematics_recursive
+(schematic_database& reference_schematic,
+ schematic_database& schematic,
+ std::vector<std::size_t>& reference_to_internal_device_map,
+ std::set<std::size_t>& assigned_devices, std::size_t node_id){
+  //do check of equivalence up to this node
+  for(std::size_t i = 0; i < node_id; ++i) {
+    for(std::size_t j = 0; j < reference_schematic.devices[i].terminals.size(); ++j) {
+      device& rd = reference_schematic.devices[i];
+      device& xd = schematic.devices[reference_to_internal_device_map[i]];
+      if(rd.type == "PIN") {
+        if(rd.terminals[j] != xd.terminals[j])
+          return false;
+      } else {
+        //connectivity must be the same
+        if(j == 1) {
+          //gate has to be the same net
+          if(!compare_connectivity(rd.terminals[1], xd.terminals[1], reference_schematic, schematic,
+                                   reference_to_internal_device_map, node_id))
+            return false;
+        } else {
+          //order of nets in source and drain is not important so check both ways and accept either
+          if(!compare_connectivity(rd.terminals[j], xd.terminals[0], reference_schematic, schematic,
+                                   reference_to_internal_device_map, node_id) &&
+             !compare_connectivity(rd.terminals[j], xd.terminals[2], reference_schematic, schematic,
+                                   reference_to_internal_device_map, node_id))
+            return false;
+        }
+      }
+    }
+  }
+  if(node_id >= reference_schematic.devices.size())
+    return true; //final success
+  
+  //recurse into subsequent nodes
+  for(std::size_t i = 0; i < schematic.devices.size(); ++i) {
+    if(reference_schematic.devices[node_id].type !=
+       schematic.devices[i].type)
+      continue; //skip dissimilar devices
+    //avoid multi-assignment of devices
+    if(assigned_devices.find(i) == assigned_devices.end()) {
+      reference_to_internal_device_map[node_id] = i;
+      std::set<std::size_t>::iterator itr = assigned_devices.insert(assigned_devices.end(), i);
+      if(compare_schematics_recursive(reference_schematic, schematic,
+                                      reference_to_internal_device_map,
+                                      assigned_devices, node_id + 1))
+        return true;
+      assigned_devices.erase(itr);
+    }
+  }
+  //could not find match between schematics
+  return false;
+}
+
+//this is a trivial brute force comparison algorithm because comparing
+//schematics does not require the use of Boost.Polygon and doing it more
+//optimally does not add to the tutorial
+inline bool compare_schematics(schematic_database& reference_schematic,
+                               schematic_database& schematic) {
+  std::vector<std::size_t> 
+    reference_to_internal_device_map(reference_schematic.devices.size(), 0);
+  std::set<std::size_t> assigned_devices;
+  return compare_schematics_recursive(reference_schematic, schematic, 
+                                      reference_to_internal_device_map,
+                                      assigned_devices, 0);
+}
+
+#endif

Added: trunk/libs/polygon/doc/tutorial/connectivity_database.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/connectivity_database.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,149 @@
+/*
+  Copyright 2010 Intel Corporation
+
+  Use, modification and distribution are subject to the Boost Software License,
+  Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+  http://www.boost.org/LICENSE_1_0.txt).
+*/
+//connectivity_database.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_CONNECTIVITY_DATABASE_HPP
+#define BOOST_POLYGON_TUTORIAL_CONNECTIVITY_DATABASE_HPP
+#include <boost/polygon/polygon.hpp>
+#include <map>
+#include <sstream>
+#include "layout_database.hpp"
+#include "layout_pin.hpp"
+
+typedef std::map<std::string, layout_database > connectivity_database;
+
+//map layout pin data type to boost::polygon::rectangle_concept
+namespace boost { namespace polygon{
+  template <>
+  struct rectangle_traits<layout_pin> {
+    typedef int coordinate_type;
+    typedef interval_data<int> interval_type;
+    static inline interval_type get(const layout_pin& pin, orientation_2d orient) {
+      if(orient == HORIZONTAL)
+        return interval_type(pin.xl, pin.xh);
+      return interval_type(pin.yl, pin.yh);
+    }
+  };
+
+  template <>
+  struct geometry_concept<layout_pin> { typedef rectangle_concept type; };
+}}
+
+typedef boost::polygon::polygon_90_data<int> polygon;
+typedef boost::polygon::polygon_90_set_data<int> polygon_set;
+
+inline void populate_connected_component
+(connectivity_database& connectivity, std::vector<polygon>& polygons, 
+ std::vector<int> polygon_color, std::vector<std::set<int> >& graph, 
+ std::size_t node_id, std::size_t polygon_id_offset, std::string& net, 
+ std::vector<std::string>& net_ids, std::string net_prefix,
+ std::string& layout_layer) {
+  if(polygon_color[node_id] == 1)
+    return;
+  polygon_color[node_id] = 1;
+  if(node_id < polygon_id_offset && net_ids[node_id] != net) {
+    //merge nets in connectivity database
+    //if one of the nets is internal net merge it into the other
+    std::string net1 = net_ids[node_id];
+    std::string net2 = net;
+    if(net.compare(0, net_prefix.length(), net_prefix) == 0) {
+      net = net1;
+      std::swap(net1, net2);
+    } else {
+      net_ids[node_id] = net;
+    }
+    connectivity_database::iterator itr = connectivity.find(net1);
+    if(itr != connectivity.end()) {
+      for(layout_database::iterator itr2 = (*itr).second.begin();
+          itr2 != (*itr).second.end(); ++itr2) {
+        connectivity[net2][(*itr2).first].insert((*itr2).second);
+      }
+      connectivity.erase(itr);
+    }
+  }
+  if(node_id >= polygon_id_offset)
+    connectivity[net][layout_layer].insert(polygons[node_id - polygon_id_offset]);
+  for(std::set<int>::iterator itr = graph[node_id].begin();
+      itr != graph[node_id].end(); ++itr) {
+    populate_connected_component(connectivity, polygons, polygon_color, graph, 
+                                 *itr, polygon_id_offset, net, net_ids, net_prefix, layout_layer);
+  }
+}
+
+inline void connect_layout_to_layer(connectivity_database& connectivity, polygon_set& layout, std::string layout_layer, std::string layer, std::string net_prefix, int& net_suffix) {
+  if(layout_layer.empty())
+    return;
+  boost::polygon::connectivity_extraction_90<int> ce;
+  std::vector<std::string> net_ids;
+  for(connectivity_database::iterator itr = connectivity.begin(); itr != connectivity.end(); ++itr) {
+    net_ids.push_back((*itr).first);
+    ce.insert((*itr).second[layer]);
+  }
+  std::vector<polygon> polygons;
+  layout.get_polygons(polygons);
+  std::size_t polygon_id_offset = net_ids.size();
+  for(std::size_t i = 0; i < polygons.size(); ++i) {
+    ce.insert(polygons[i]);
+  }
+  std::vector<std::set<int> > graph(polygons.size() + net_ids.size(), std::set<int>());
+  ce.extract(graph);
+  std::vector<int> polygon_color(polygons.size() + net_ids.size(), 0);
+  //for each net in net_ids populate connected component with net
+  for(std::size_t node_id = 0; node_id < net_ids.size(); ++node_id) {
+    populate_connected_component(connectivity, polygons, polygon_color, graph, node_id, 
+                                 polygon_id_offset, net_ids[node_id], net_ids, 
+                                 net_prefix, layout_layer);
+  }
+  //for each polygon_color that is zero populate connected compontent with net_prefix + net_suffix++
+  for(std::size_t i = 0; i < polygons.size(); ++i) {
+    if(polygon_color[i + polygon_id_offset] == 0) {
+      std::stringstream ss(std::stringstream::in | std::stringstream::out);
+      ss << net_prefix << net_suffix++;
+      std::string internal_net; 
+      ss >> internal_net;
+      populate_connected_component(connectivity, polygons, polygon_color, graph, 
+                                   i + polygon_id_offset, 
+                                   polygon_id_offset, internal_net, net_ids, 
+                                   net_prefix, layout_layer);
+    }
+  }
+}
+
+//given a layout_database we populate a connectivity database
+inline void populate_connectivity_database(connectivity_database& connectivity, std::vector<layout_pin>& pins, layout_database& layout) {
+  using namespace boost::polygon;
+  using namespace boost::polygon::operators;
+  for(std::size_t i = 0; i < pins.size(); ++i) {
+    connectivity[pins[i].net][pins[i].layer].insert(pins[i]);
+  }
+  int internal_net_suffix = 0;
+  //connect metal1 layout to pins which were on metal1
+  connect_layout_to_layer(connectivity, layout["METAL1"], "METAL1", 
+                          "METAL1", "__internal_net_", internal_net_suffix);
+  //connect via0 layout to metal1
+  connect_layout_to_layer(connectivity, layout["VIA0"], "VIA0", 
+                          "METAL1", "__internal_net_", internal_net_suffix);
+  //poly needs to have gates subtracted from it to prevent shorting through transistors
+  polygon_set poly_not_gate = layout["POLY"] - layout["GATE"];
+  //connect poly minus gate to via0
+  connect_layout_to_layer(connectivity, poly_not_gate, "POLY", 
+                          "VIA0", "__internal_net_", internal_net_suffix);
+  //we don't want to short signals through transistors so we subtract the gate regions
+  //from the diffusions
+  polygon_set diff_not_gate = (layout["PDIFF"] + layout["NDIFF"]) - layout["GATE"];
+  //connect diffusion minus gate to poly
+  //Note that I made up the DIFF layer name for combined P and NDIFF
+  connect_layout_to_layer(connectivity, diff_not_gate, "DIFF", 
+                          "POLY", "__internal_net_", internal_net_suffix);
+  //connect gate to poly to make connections through gates on poly
+  connect_layout_to_layer(connectivity, layout["GATE"], "GATE", 
+                          "POLY", "__internal_net_", internal_net_suffix);
+  //now we have traced connectivity of the layout down to the transistor level
+  //any polygons not connected to pins have been assigned internal net names
+}
+
+#endif

Added: trunk/libs/polygon/doc/tutorial/device.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/device.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,38 @@
+/*
+  Copyright 2010 Intel Corporation
+
+  Use, modification and distribution are subject to the Boost Software License,
+  Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+  http://www.boost.org/LICENSE_1_0.txt).
+*/
+
+//device.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_DEVICE_HPP
+#define BOOST_POLYGON_TUTORIAL_DEVICE_HPP
+#include <string>
+#include <vector>
+#include <iostream>
+
+struct device {
+  std::string type;
+  std::vector<std::string> terminals;
+};
+
+inline std::ostream& operator << (std::ostream& o, const device& r)
+{
+  o << r.type << " ";
+  for(std::size_t i = 0; i < r.terminals.size(); ++i) {
+    o << r.terminals[i] << " ";
+  }
+  return o;
+}
+
+inline std::istream& operator >> (std::istream& i, device& r)
+{
+  i >> r.type; 
+  r.terminals = std::vector<std::string>(3, std::string());
+  i >> r.terminals[0] >> r.terminals[1] >> r.terminals[2];
+  return i;
+}
+
+#endif

Added: trunk/libs/polygon/doc/tutorial/extract.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/extract.cpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,63 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+#include "schematic_database.hpp"
+#include "layout_pin.hpp"
+#include "layout_rectangle.hpp"
+#include "connectivity_database.hpp"
+#include "compare_schematics.hpp"
+#include "extract_devices.hpp"
+#include "parse_layout.hpp"
+#include "layout_database.hpp"
+#include "device.hpp"
+#include <string>
+#include <fstream>
+#include <iostream>
+
+bool compare_files(std::string layout_file, std::string schematic_file) {
+  std::ifstream sin(schematic_file.c_str());
+  std::ifstream lin(layout_file.c_str());
+
+  std::vector<layout_rectangle> rects;
+  std::vector<layout_pin> pins;
+  parse_layout(rects, pins, lin);
+
+  schematic_database reference_schematic;
+  parse_schematic_database(reference_schematic, sin);
+
+  layout_database layout;
+  populate_layout_database(layout, rects);
+
+  connectivity_database connectivity;
+  populate_connectivity_database(connectivity, pins, layout);
+
+  schematic_database schematic;
+  std::vector<device>& devices = schematic.devices;
+  for(std::size_t i = 0; i < pins.size(); ++i) {
+    devices.push_back(device());
+    devices.back().type = "PIN";
+    devices.back().terminals.push_back(pins[i].net);
+  }
+  extract_devices(devices, connectivity, layout);
+  extract_netlist(schematic.nets, devices);
+
+  return compare_schematics(reference_schematic, schematic);
+}
+
+int main(int argc, char **argv) {
+  if(argc < 3) {
+    std::cout << "usage: " << argv[0] << " <layout_file> <schematic_file>" << std::endl;
+    return -1;
+  }
+  bool result = compare_files(argv[1], argv[2]);
+  if(result == false) {
+    std::cout << "Layout does not match schematic." << std::endl;
+    return 1;
+  } 
+  std::cout << "Layout does match schematic." << std::endl;
+  return 0;
+}

Added: trunk/libs/polygon/doc/tutorial/extract_devices.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/extract_devices.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,99 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+//extract_devices.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_EXTRACT_DEVICES_HPP
+#define BOOST_POLYGON_TUTORIAL_EXTRACT_DEVICES_HPP
+#include <string>
+#include <iostream>
+#include <fstream>
+#include <vector>
+#include "connectivity_database.hpp"
+#include "device.hpp"
+
+typedef boost::polygon::connectivity_extraction_90<int> connectivity_extraction;
+inline std::vector<std::set<int> >
+extract_layer(connectivity_extraction& ce, std::vector<std::string>& net_ids,
+              connectivity_database& connectivity, polygon_set& layout,
+              std::string layer) {
+  for(connectivity_database::iterator itr = connectivity.begin(); itr != connectivity.end(); ++itr) {
+    net_ids.push_back((*itr).first);
+    ce.insert((*itr).second[layer]);
+  }
+  std::vector<polygon> polygons;
+  layout.get_polygons(polygons);
+  for(std::size_t i = 0; i < polygons.size(); ++i) {
+    ce.insert(polygons[i]);
+  }
+  std::vector<std::set<int> > graph(polygons.size() + net_ids.size(), std::set<int>());
+  ce.extract(graph);
+  return graph;
+}
+
+inline void extract_device_type(std::vector<device>& devices, connectivity_database& connectivity,
+                                polygon_set& layout, std::string type) {
+  //recall that P and NDIFF were merged into one DIFF layer in the connectivity database
+  //find the two nets on the DIFF layer that interact with each transistor
+  //and then find the net on the poly layer that interacts with each transistor
+  boost::polygon::connectivity_extraction_90<int> cediff;
+  std::vector<std::string> net_ids_diff;
+  std::vector<std::set<int> > graph_diff =
+    extract_layer(cediff, net_ids_diff, connectivity, layout, "DIFF");
+  boost::polygon::connectivity_extraction_90<int> cepoly;
+  std::vector<std::string> net_ids_poly;
+  std::vector<std::set<int> > graph_poly =
+    extract_layer(cepoly, net_ids_poly, connectivity, layout, "POLY");
+  std::vector<device> tmp_devices(graph_diff.size() - net_ids_poly.size());
+  for(std::size_t i = net_ids_poly.size(); i < graph_diff.size(); ++i) {
+    tmp_devices[i - net_ids_diff.size()].type = type;
+    tmp_devices[i - net_ids_diff.size()].terminals = std::vector<std::string>(3, std::string());
+    std::size_t j = 0;
+    for(std::set<int>::iterator itr = graph_diff[i].begin();
+        itr != graph_diff[i].end(); ++itr, ++j) {
+      if(j == 0) {
+        tmp_devices[i - net_ids_diff.size()].terminals[0] = net_ids_diff[*itr];
+      } else if(j == 1) {
+        tmp_devices[i - net_ids_diff.size()].terminals[2] = net_ids_diff[*itr];
+      } else {
+        //error, too many diff connections
+        tmp_devices[i - net_ids_diff.size()].terminals = std::vector<std::string>(3, std::string());
+      }
+    }
+    j = 0;
+    for(std::set<int>::iterator itr = graph_poly[i].begin();
+        itr != graph_poly[i].end(); ++itr, ++j) {
+      if(j == 0) {
+        tmp_devices[i - net_ids_diff.size()].terminals[1] = net_ids_poly[*itr];
+      } else {
+        //error, too many poly connections
+        tmp_devices[i - net_ids_poly.size()].terminals = std::vector<std::string>(3, std::string());
+      }
+    }
+  }
+
+  devices.insert(devices.end(), tmp_devices.begin(), tmp_devices.end());
+}
+
+//populates vector of devices based on connectivity and layout data
+inline void extract_devices(std::vector<device>& devices, connectivity_database& connectivity,
+                            layout_database& layout) {
+  using namespace boost::polygon::operators;
+  //p-type transistors are gate that interact with p diffusion and nwell
+  polygon_set ptransistors = layout["GATE"];
+  ptransistors.interact(layout["PDIFF"]);
+  ptransistors.interact(layout["NWELL"]);
+  //n-type transistors are gate that interact with n diffusion and not nwell
+  polygon_set ntransistors = layout["GATE"];
+  ntransistors.interact(layout["NDIFF"]);
+  polygon_set not_ntransistors = ntransistors;
+  not_ntransistors.interact(layout["NWELL"]);
+  ntransistors -= not_ntransistors;
+  extract_device_type(devices, connectivity, ptransistors, "PTRANS");
+  extract_device_type(devices, connectivity, ntransistors, "NTRANS");
+}
+
+#endif

Added: trunk/libs/polygon/doc/tutorial/layout_database.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/layout_database.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,41 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+
+//layout_database.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_LAYOUT_DATABASE_HPP
+#define BOOST_POLYGON_TUTORIAL_LAYOUT_DATABASE_HPP
+#include <boost/polygon/polygon.hpp>
+#include <map>
+#include "layout_rectangle.hpp"
+
+typedef std::map<std::string, boost::polygon::polygon_90_set_data<int> > layout_database;
+
+//map the layout rectangle data type to the boost::polygon::rectangle_concept
+namespace boost { namespace polygon{
+  template <>
+  struct rectangle_traits<layout_rectangle> {
+    typedef int coordinate_type;
+    typedef interval_data<int> interval_type;
+    static inline interval_type get(const layout_rectangle& rectangle, orientation_2d orient) {
+      if(orient == HORIZONTAL)
+        return interval_type(rectangle.xl, rectangle.xh);
+      return interval_type(rectangle.yl, rectangle.yh);
+    }
+  };
+
+  template <>
+  struct geometry_concept<layout_rectangle> { typedef rectangle_concept type; };
+}}
+
+//insert layout rectangles into a layout database
+inline void populate_layout_database(layout_database& layout, std::vector<layout_rectangle>& rects) {
+  for(std::size_t i = 0; i < rects.size(); ++i) {
+    layout[rects[i].layer].insert(rects[i]);
+  }
+}
+#endif

Added: trunk/libs/polygon/doc/tutorial/layout_pin.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/layout_pin.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,33 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+
+//layout_pin.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_LAYOUT_PIN_HPP
+#define BOOST_POLYGON_TUTORIAL_LAYOUT_PIN_HPP
+#include <string>
+#include <iostream>
+
+struct layout_pin {
+  int xl, yl, xh, yh;
+  std::string layer;
+  std::string net;
+};
+
+inline std::ostream& operator << (std::ostream& o, const layout_pin& r)
+{
+  o << r.xl << " " << r.xh << " " << r.yl << " " << r.yh << " " << r.layer << " " << r.net;
+  return o;
+}
+
+inline std::istream& operator >> (std::istream& i, layout_pin& r)
+{
+  i >> r.xl >> r.xh >> r.yl >> r.yh >> r.layer >> r.net; 
+  return i;
+}
+
+#endif

Added: trunk/libs/polygon/doc/tutorial/layout_rectangle.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/layout_rectangle.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,32 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+
+//layout_rectangle.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_LAYOUT_RECTANGLE_HPP
+#define BOOST_POLYGON_TUTORIAL_LAYOUT_RECTANGLE_HPP
+#include <string>
+#include <iostream>
+
+struct layout_rectangle {
+  int xl, yl, xh, yh;
+  std::string layer;
+};
+
+inline std::ostream& operator << (std::ostream& o, const layout_rectangle& r)
+{
+  o << r.xl << " " << r.xh << " " << r.yl << " " << r.yh << " " << r.layer;
+  return o;
+}
+
+inline std::istream& operator >> (std::istream& i, layout_rectangle& r)
+{
+  i >> r.xl >> r.xh >> r.yl >> r.yh >> r.layer; 
+  return i;
+}
+
+#endif

Added: trunk/libs/polygon/doc/tutorial/minkowski.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/minkowski.cpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,154 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+#include <iostream>
+#include <boost/polygon/polygon.hpp>
+
+typedef boost::polygon::point_data<int> point;
+typedef boost::polygon::polygon_set_data<int> polygon_set;
+typedef boost::polygon::polygon_with_holes_data<int> polygon;
+typedef std::pair<point, point> edge;
+using namespace boost::polygon::operators;
+
+void convolve_two_segments(std::vector<point>& figure, const edge& a, const edge& b) {
+  using namespace boost::polygon;
+  figure.clear();
+  figure.push_back(point(a.first));
+  figure.push_back(point(a.first));
+  figure.push_back(point(a.second));
+  figure.push_back(point(a.second));
+  convolve(figure[0], b.second);
+  convolve(figure[1], b.first);
+  convolve(figure[2], b.first);
+  convolve(figure[3], b.second);
+}
+
+template <typename itrT1, typename itrT2>
+void convolve_two_point_sequences(polygon_set& result, itrT1 ab, itrT1 ae, itrT2 bb, itrT2 be) {
+  using namespace boost::polygon;
+  if(ab == ae || bb == be)
+    return;
+  point first_a = *ab;
+  point prev_a = *ab;
+  std::vector<point> vec;
+  polygon poly;
+  ++ab;
+  for( ; ab != ae; ++ab) {
+    point first_b = *bb;
+    point prev_b = *bb;
+    itrT2 tmpb = bb;
+    ++tmpb;
+    for( ; tmpb != be; ++tmpb) {
+      convolve_two_segments(vec, std::make_pair(prev_b, *tmpb), std::make_pair(prev_a, *ab));
+      set_points(poly, vec.begin(), vec.end());
+      result.insert(poly);
+      prev_b = *tmpb;
+    }
+    prev_a = *ab;
+  }
+}
+
+template <typename itrT>
+void convolve_point_sequence_with_polygons(polygon_set& result, itrT b, itrT e, const std::vector<polygon>& polygons) {
+  using namespace boost::polygon;
+  for(std::size_t i = 0; i < polygons.size(); ++i) {
+    convolve_two_point_sequences(result, b, e, begin_points(polygons[i]), end_points(polygons[i]));
+    for(polygon_with_holes_traits<polygon>::iterator_holes_type itrh = begin_holes(polygons[i]);
+        itrh != end_holes(polygons[i]); ++itrh) {
+      convolve_two_point_sequences(result, b, e, begin_points(*itrh), end_points(*itrh));
+    }
+  }
+}
+
+void convolve_two_polygon_sets(polygon_set& result, const polygon_set& a, const polygon_set& b) {
+  using namespace boost::polygon;
+  result.clear();
+  std::vector<polygon> a_polygons;
+  std::vector<polygon> b_polygons;
+  a.get(a_polygons);
+  b.get(b_polygons);
+  for(std::size_t ai = 0; ai < a_polygons.size(); ++ai) {
+    convolve_point_sequence_with_polygons(result, begin_points(a_polygons[ai]), 
+                                          end_points(a_polygons[ai]), b_polygons);
+    for(polygon_with_holes_traits<polygon>::iterator_holes_type itrh = begin_holes(a_polygons[ai]);
+        itrh != end_holes(a_polygons[ai]); ++itrh) {
+      convolve_point_sequence_with_polygons(result, begin_points(*itrh), 
+                                            end_points(*itrh), b_polygons);
+    }
+    for(std::size_t bi = 0; bi < b_polygons.size(); ++bi) {
+      polygon tmp_poly = a_polygons[ai];
+      result.insert(convolve(tmp_poly, *(begin_points(b_polygons[bi]))));
+      tmp_poly = b_polygons[bi];
+      result.insert(convolve(tmp_poly, *(begin_points(a_polygons[ai]))));
+    }
+  }
+}
+
+namespace boost { namespace polygon{
+
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_data<T>& poly) {
+    o << "Polygon { ";
+    for(typename polygon_data<T>::iterator_type itr = poly.begin(); 
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } 
+    o << " } ";
+    return o;
+  } 
+
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_with_holes_data<T>& poly) {
+    o << "Polygon With Holes { ";
+    for(typename polygon_with_holes_data<T>::iterator_type itr = poly.begin(); 
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } o << " { ";
+    for(typename polygon_with_holes_data<T>::iterator_holes_type itr = poly.begin_holes();
+        itr != poly.end_holes(); ++itr) {
+      o << (*itr);
+    }
+    o << " } } ";
+    return o;
+  }
+}}
+
+int main(int argc, char **argv) {
+  polygon_set a, b, c;
+  a += boost::polygon::rectangle_data<int>(0, 0, 1000, 1000);
+  a -= boost::polygon::rectangle_data<int>(100, 100, 900, 900);
+  a += boost::polygon::rectangle_data<int>(1000, -1000, 1010, -990);
+  std::vector<polygon> polys;
+  std::vector<point> pts;
+  pts.push_back(point(-40, 0));
+  pts.push_back(point(-10, 10));
+  pts.push_back(point(0, 40));
+  pts.push_back(point(10, 10));
+  pts.push_back(point(40, 0));
+  pts.push_back(point(10, -10));
+  pts.push_back(point(0, -40));
+  pts.push_back(point(-10, -10));
+  pts.push_back(point(-40, 0));
+  polygon poly;
+  boost::polygon::set_points(poly, pts.begin(), pts.end());
+  b+=poly;
+  pts.clear();
+  pts.push_back(point(1040, 1040));
+  pts.push_back(point(1050, 1045));
+  pts.push_back(point(1045, 1050));
+  boost::polygon::set_points(poly, pts.begin(), pts.end());
+  b+=poly;
+  polys.clear();
+  convolve_two_polygon_sets(c, a, b);
+  c.get(polys);
+  for(int i = 0; i < polys.size(); ++i ){
+    std::cout << polys[i] << std::endl;
+  }
+  return 0;
+}

Added: trunk/libs/polygon/doc/tutorial/parse_layout.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/parse_layout.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,39 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+
+//parse_layout.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_PARSE_LAYOUT_HPP
+#define BOOST_POLYGON_TUTORIAL_PARSE_LAYOUT_HPP
+#include <string>
+#include <iostream>
+#include <fstream>
+#include <vector>
+#include "layout_rectangle.hpp"
+#include "layout_pin.hpp"
+
+//populates vectors of layout rectangles and pins
+inline void parse_layout(std::vector<layout_rectangle>& rects, std::vector<layout_pin>& pins, 
+                  std::ifstream& sin) {
+  while(!sin.eof()) {
+    std::string type_id;
+    sin >> type_id;
+    if(type_id == "Rectangle") {
+      layout_rectangle rect;
+      sin >> rect;
+      rects.push_back(rect);
+    } else if (type_id == "Pin") {
+      layout_pin pin;
+      sin >> pin;
+      pins.push_back(pin);
+    } else if (type_id == "") {
+      break;
+    }
+  }
+}
+
+#endif

Added: trunk/libs/polygon/doc/tutorial/schematic_database.hpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/doc/tutorial/schematic_database.hpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,58 @@
+/*
+Copyright 2010 Intel Corporation
+
+Use, modification and distribution are subject to the Boost Software License,
+Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+http://www.boost.org/LICENSE_1_0.txt).
+*/
+
+//schematic_database.hpp
+#ifndef BOOST_POLYGON_TUTORIAL_SCHEMATIC_DATABASE_HPP
+#define BOOST_POLYGON_TUTORIAL_SCHEMATIC_DATABASE_HPP
+#include <string>
+#include <fstream>
+#include <map>
+#include <set>
+#include "device.hpp"
+
+struct schematic_database{
+  std::vector<device> devices;
+  std::map<std::string, std::set<std::size_t> > nets;
+};
+
+//given a vector of devices populate the map of net name to set of device index
+inline void extract_netlist(std::map<std::string, std::set<std::size_t> >& nets,
+                            std::vector<device>& devices) {
+  for(std::size_t i = 0; i < devices.size(); ++i) {
+    for(std::size_t j = 0; j < devices[i].terminals.size(); ++j) {
+      //create association between net name and device id
+      nets[devices[i].terminals[j]].insert(nets[devices[i].terminals[j]].end(), i);
+    }
+  }
+}
+
+inline void parse_schematic_database(schematic_database& schematic,
+                                     std::ifstream& sin) {
+  std::vector<device>& devices = schematic.devices;
+  while(!sin.eof()) {
+    std::string type_id;
+    sin >> type_id;
+    if(type_id == "Device") {
+      device d;
+      sin >> d;
+      devices.push_back(d);
+    } else if (type_id == "Pin") {
+      std::string net;
+      sin >> net;
+      device d;
+      d.type = "PIN";
+      d.terminals.push_back(net);
+      devices.push_back(d);
+    } else if (type_id == "") {
+      break;
+    }
+  }
+  extract_netlist(schematic.nets, devices);
+}
+
+#endif

Added: trunk/libs/polygon/test/Jamfile.v2
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/test/Jamfile.v2	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,22 @@
+# test/Jamfile.v2 controls building of Polygon Library unit tests
+#
+# Copyright (c) 2010 Intel Corporation
+#
+# Use, modification and distribution is subject to the Boost Software License,
+# Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt)
+
+import testing ;
+
+project polygon-test
+    :
+    requirements
+        <include>.
+        <toolset>msvc:<asynch-exceptions>on
+    ;
+
+test-suite polygon-unit
+    :
+    [ run gtl_boost_unit_test.cpp ]
+    ;
+

Added: trunk/libs/polygon/test/gtl_boost_unit_test.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/polygon/test/gtl_boost_unit_test.cpp	2010-05-28 13:17:22 EDT (Fri, 28 May 2010)
@@ -0,0 +1,3368 @@
+/*
+  Copyright 2008 Intel Corporation
+ 
+  Use, modification and distribution are subject to the Boost Software License,
+  Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+  http://www.boost.org/LICENSE_1_0.txt).
+*/
+#include <iostream>
+#include <boost/polygon/polygon.hpp>
+namespace gtl = boost::polygon;
+using namespace boost::polygon::operators;
+#include <time.h>
+#include <stdlib.h>
+
+namespace boost { namespace polygon{
+
+  template <class T>
+  std::ostream& operator << (std::ostream& o, const interval_data<T>& i)
+  {
+    return o << i.get(LOW) << ' ' << i.get(HIGH);
+  }
+  template <class T>
+  std::ostream& operator << (std::ostream& o, const point_data<T>& r)
+  {
+    return o << r.get(HORIZONTAL) << ' ' << r.get(VERTICAL);
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_45_data<T>& poly) {
+    o << "Polygon { ";
+    for(typename polygon_45_data<T>::iterator_type itr = poly.begin(); 
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } 
+    o << " } ";
+    return o;
+  }
+  template <typename Unit>
+  inline std::ostream& operator<< (std::ostream& o, const polygon_45_set_data<Unit>& p) {
+    o << "Polygon45Set ";
+    o << " " << !p.sorted() << " " << p.dirty() << " { ";
+    for(typename polygon_45_set_data<Unit>::iterator_type itr = p.begin();
+        itr != p.end(); ++itr) {
+      o << (*itr).pt << ":";
+      for(unsigned int i = 0; i < 4; ++i) {
+        o << (*itr).count[i] << ",";
+      } o << " ";
+      //o << (*itr).first << ":" <<  (*itr).second << "; ";
+    }
+    o << "} ";
+    return o;
+  }
+
+  template <typename Unit>
+  inline std::istream& operator>> (std::istream& i, polygon_45_set_data<Unit>& p) {
+    //TODO
+    return i;
+  }
+  template <typename T>
+  std::ostream& operator << (std::ostream& o, const polygon_90_data<T>& r)
+  {
+    o << "Polygon { ";
+    for(typename polygon_90_data<T>::iterator_type itr = r.begin(); itr != r.end(); ++itr) {
+      o << *itr << ", ";
+    }
+    return o << "} ";
+  }
+
+  template <typename T>
+  std::istream& operator >> (std::istream& i, polygon_90_data<T>& r)
+  {
+    std::size_t size;
+    i >> size; 
+    std::vector<T> vec;
+    vec.reserve(size);
+    for(std::size_t ii = 0; ii < size; ++ii) {
+      T coord;
+      i >> coord;
+      vec.push_back(coord);
+    }
+    r.set_compact(vec.begin(), vec.end());
+    return i;
+  }
+  
+  template <typename T>
+  std::ostream& operator << (std::ostream& o, const std::vector<polygon_90_data<T> >& r) {
+    o << r.size() << ' ';
+    for(std::size_t ii = 0; ii < r.size(); ++ii) {
+      o << (r[ii]); 
+    }
+    return o;
+  }
+  template <typename T>
+  std::istream& operator >> (std::istream& i, std::vector<polygon_90_data<T> >& r) {
+    std::size_t size;
+    i >> size;
+    r.clear();
+    r.reserve(size);
+    for(std::size_t ii = 0; ii < size; ++ii) {
+      polygon_90_data<T> tmp;
+      i >> tmp;
+      r.push_back(tmp);
+    }
+    return i;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_data<T>& poly) {
+    o << "Polygon { ";
+    for(typename polygon_data<T>::iterator_type itr = poly.begin(); 
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } 
+    o << " } ";
+    return o;
+  } 
+  template <typename T>
+  std::ostream& operator << (std::ostream& o, const polygon_set_data<T>& r)
+  {
+    o << "Polygon Set Data { ";
+    for(typename polygon_set_data<T>::iterator_type itr = r.begin(); itr != r.end(); ++itr) {
+      o << "<" << (*itr).first.first << ", " << (*itr).first.second << ">:" << (*itr).second << " ";
+    }
+    o << "} ";
+    return o;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_90_with_holes_data<T>& poly) {
+    o << "Polygon With Holes { ";
+    for(typename polygon_90_with_holes_data<T>::iterator_type itr = poly.begin(); 
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } o << " { ";
+    for(typename polygon_90_with_holes_data<T>::iterator_holes_type itr = poly.begin_holes();
+        itr != poly.end_holes(); ++itr) {
+      o << (*itr);
+    }
+    o << " } } ";
+    return o;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_45_with_holes_data<T>& poly) {
+    o << "Polygon With Holes { ";
+    for(typename polygon_45_with_holes_data<T>::iterator_type itr = poly.begin(); 
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } o << " { ";
+    for(typename polygon_45_with_holes_data<T>::iterator_holes_type itr = poly.begin_holes();
+        itr != poly.end_holes(); ++itr) {
+      o << (*itr);
+    }
+    o << " } } ";
+    return o;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_with_holes_data<T>& poly) {
+    o << "Polygon With Holes { ";
+    for(typename polygon_with_holes_data<T>::iterator_type itr = poly.begin(); 
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } o << " { ";
+    for(typename polygon_with_holes_data<T>::iterator_holes_type itr = poly.begin_holes();
+        itr != poly.end_holes(); ++itr) {
+      o << (*itr);
+    }
+    o << " } } ";
+    return o;
+  }
+  template <class T>
+  std::ostream& operator << (std::ostream& o, const rectangle_data<T>& r)
+  {
+    return o << r.get(HORIZONTAL) << ' ' << r.get(VERTICAL);
+  }
+
+
+  template <typename T>
+  typename enable_if<typename is_polygon_90_set_type<T>::type, void>::type
+  print_is_polygon_90_set_concept(const T& ) { std::cout << "is polygon 90 set concept\n"; }
+  template <typename T>
+  typename enable_if<typename is_mutable_polygon_90_set_type<T>::type, void>::type
+  print_is_mutable_polygon_90_set_concept(const T& ) { std::cout << "is mutable polygon 90 set concept\n"; }
+  namespace boolean_op {
+    //self contained unit test for BooleanOr algorithm
+    template <typename Unit>
+    inline bool testBooleanOr() {
+      BooleanOp<int, Unit> booleanOr;
+      //test one rectangle
+      std::vector<std::pair<interval_data<Unit>, int> > container;
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      if(container.size() != 2) { 
+        std::cout << "Test one rectangle, wrong output size\n";
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), 1)) {
+        std::cout << "Test one rectangle, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), -1)) {
+        std::cout << "Test one rectangle, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+
+      //test two rectangles
+      container.clear();
+      booleanOr = BooleanOp<int, Unit>();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), -1);
+      if(container.size() != 4) {
+        std::cout << "Test two rectangles, wrong output size\n";
+        for(std::size_t i = 0; i < container.size(); ++i){
+          std::cout << container[i].first << "), " << container[i].second << std::endl;
+        }
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), 1)) {
+        std::cout << "Test two rectangles, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(10, 15), 1)) {
+        std::cout << "Test two rectangles, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+      if(container[2] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 5), -1)) {
+        std::cout << "Test two rectangles, third output wrong: Interval(" <<
+          container[2].first << "), " << container[2].second << std::endl;
+      }
+      if(container[3] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(5, 15), -1)) {
+        std::cout << "Test two rectangles, fourth output wrong: Interval(" <<
+          container[3].first << "), " << container[3].second << std::endl;
+      }
+
+      //test two rectangles
+      container.clear();
+      booleanOr = BooleanOp<int, Unit>();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), -1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      if(container.size() != 4) {
+        std::cout << "Test other two rectangles, wrong output size\n";
+        for(std::size_t i = 0; i < container.size(); ++i){
+          std::cout << container[i].first << "), " << container[i].second << std::endl;
+        }
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(5, 15), 1)) {
+        std::cout << "Test other two rectangles, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 5), 1)) {
+        std::cout << "Test other two rectangles, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+      if(container[2] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(10, 15), -1)) {
+        std::cout << "Test other two rectangles, third output wrong: Interval(" <<
+          container[2].first << "), " << container[2].second << std::endl;
+      }
+      if(container[3] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), -1)) {
+        std::cout << "Test other two rectangles, fourth output wrong: Interval(" <<
+          container[3].first << "), " << container[3].second << std::endl;
+      }
+
+      //test two nonoverlapping rectangles
+      container.clear();
+      booleanOr = BooleanOp<int, Unit>();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(15, 25), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(15, 25), -1);
+      if(container.size() != 4) {
+        std::cout << "Test two nonoverlapping rectangles, wrong output size\n";
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), 1)) {
+        std::cout << "Test two nonoverlapping rectangles, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(15, 25), 1)) {
+        std::cout << "Test two nonoverlapping rectangles, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+      if(container[2] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), -1)) {
+        std::cout << "Test two nonoverlapping rectangles, third output wrong: Interval(" <<
+          container[2].first << "), " << container[2].second << std::endl;
+      }
+      if(container[3] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(15, 25), -1)) {
+        std::cout << "Test two nonoverlapping rectangles, fourth output wrong: Interval(" <<
+          container[3].first << "), " << container[3].second << std::endl;
+      }
+      return true;
+    }
+  }
+
+  void test_assign() {
+    using namespace gtl;
+    std::vector<polygon_data<int> > ps;
+    polygon_90_set_data<int> ps90;
+    assign(ps, ps90);
+  }
+
+  //this is a compile time test, if it compiles it passes
+  void test_view_as() {
+    using namespace gtl;
+    polygon_data<int> p;
+    polygon_45_data<int> p45;
+    polygon_90_data<int> p90;
+    polygon_with_holes_data<int> pwh;
+    polygon_45_with_holes_data<int> p45wh;
+    polygon_90_with_holes_data<int> p90wh;
+    rectangle_data<int> rect(0, 1, 10, 11);
+    polygon_90_set_data<int> ps90;
+    polygon_45_set_data<int> ps45;
+    polygon_set_data<int> ps;
+  
+    assign(p, rect);
+    assign(p90, view_as<polygon_90_concept>(p));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 1\n";
+    assign(p45, view_as<polygon_45_concept>(p));
+    if(!equivalence(p45, rect))
+      std::cout << "fail 2\n";
+    assign(p90, view_as<polygon_90_concept>(p45));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 3\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p)))
+      std::cout << "fail 4\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p45)))
+      std::cout << "fail 5\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p90)))
+      std::cout << "fail 6\n";
+    assign(pwh, rect);
+    assign(p90wh, rect);
+    assign(p45wh, rect);
+    if(!equivalence(rect, view_as<rectangle_concept>(pwh)))
+      std::cout << "fail 7\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p45wh)))
+      std::cout << "fail 8\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p90wh)))
+      std::cout << "fail 9\n";
+    assign(p90wh, view_as<polygon_90_with_holes_concept>(pwh));
+    if(!equivalence(p90wh, rect))
+      std::cout << "fail 10\n";
+    assign(p45wh, view_as<polygon_45_with_holes_concept>(pwh));
+    if(!equivalence(p45wh, rect))
+      std::cout << "fail 11\n";
+    assign(p90wh, view_as<polygon_90_with_holes_concept>(p45wh));
+    if(!equivalence(p90wh, rect))
+      std::cout << "fail 12\n"; 
+    assign(p90, view_as<polygon_90_concept>(pwh));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 13\n";
+    assign(p45, view_as<polygon_45_concept>(pwh));
+    if(!equivalence(p45, rect))
+      std::cout << "fail 14\n";
+    assign(p90, view_as<polygon_90_concept>(p45wh));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 15\n";
+    assign(ps, rect);
+    assign(ps90, view_as<polygon_90_set_concept>(ps));
+    if(!equivalence(ps90, rect))
+      std::cout << "fail 16\n";
+    assign(ps45, view_as<polygon_45_set_concept>(ps));
+    if(!equivalence(ps45, rect))
+      std::cout << "fail 17\n";
+    assign(ps90, view_as<polygon_90_set_concept>(ps45));
+    if(!equivalence(ps90, rect))
+      std::cout << "fail 18\n";
+  }
+
+  inline bool testPolygon45SetRect() {
+    std::vector<point_data<int> > points;
+    points.push_back(point_data<int>(0,0));
+    points.push_back(point_data<int>(0,10));
+    points.push_back(point_data<int>(10,10));
+    points.push_back(point_data<int>(10,0));
+    polygon_45_data<int> poly;
+    poly.set(points.begin(), points.end());
+    polygon_45_set_data<int> ps;
+    ps.insert(poly);
+    std::vector<polygon_45_data<int> > polys;
+    ps.get_polygons(polys);
+    std::cout << polys.size() << std::endl;
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      std::cout << polys[i] << std::endl;
+    }
+    return true;
+  }
+
+  inline bool testPolygon45Set() {
+    polygon_45_formation<int>::Polygon45Formation pf(true);
+    typedef boolean_op_45<int>::Vertex45 Vertex45;
+    std::vector<Vertex45> data;
+    // result == 0 8 -1 1
+    data.push_back(Vertex45(point_data<int>(0, 8), -1, 1));
+    // result == 0 8 1 -1
+    data.push_back(Vertex45(point_data<int>(0, 8), 1, -1));
+    // result == 4 0 1 1
+    data.push_back(Vertex45(point_data<int>(4, 0), 1, 1));
+    // result == 4 0 2 1
+    data.push_back(Vertex45(point_data<int>(4, 0), 2, 1));
+    // result == 4 4 2 -1
+    data.push_back(Vertex45(point_data<int>(4, 4), 2, -1));
+    // result == 4 4 -1 -1
+    data.push_back(Vertex45(point_data<int>(4, 4), -1, -1));
+    // result == 4 12 1 1
+    data.push_back(Vertex45(point_data<int>(4, 12), 1, 1));
+    // result == 4 12 2 1
+    data.push_back(Vertex45(point_data<int>(4, 12), 2, 1));
+    // result == 4 16 2 -1
+    data.push_back(Vertex45(point_data<int>(4, 16), 2, 1));
+    // result == 4 16 -1 -1
+    data.push_back(Vertex45(point_data<int>(4, 16), -1, -1));
+    // result == 6 2 1 -1
+    data.push_back(Vertex45(point_data<int>(6, 2), 1, -1));
+    // result == 6 14 -1 1
+    data.push_back(Vertex45(point_data<int>(6, 14), -1, 1));
+    // result == 6 2 -1 1
+    data.push_back(Vertex45(point_data<int>(6, 2), -1, 1));
+    // result == 6 14 1 -1
+    data.push_back(Vertex45(point_data<int>(6, 14), 1, -1));
+    // result == 8 0 -1 -1
+    data.push_back(Vertex45(point_data<int>(8, 0), -1, -1));
+    // result == 8 0 2 -1
+    data.push_back(Vertex45(point_data<int>(8, 0), 2, -1));
+    // result == 8 4 2 1
+    data.push_back(Vertex45(point_data<int>(8, 4), 2, 1));
+    // result == 8 4 1 1
+    data.push_back(Vertex45(point_data<int>(8, 4), 1, 1));
+    // result == 8 12 -1 -1
+    data.push_back(Vertex45(point_data<int>(8, 12), -1, -1));
+    // result == 8 12 2 -1
+    data.push_back(Vertex45(point_data<int>(8, 12), 2, -1));
+    // result == 8 16 2 1
+    data.push_back(Vertex45(point_data<int>(8, 16), 2, 1));
+    // result == 8 16 1 1
+    data.push_back(Vertex45(point_data<int>(8, 16), 1, 1));
+    // result == 12 8 1 -1
+    data.push_back(Vertex45(point_data<int>(12, 8), 1, -1));
+    // result == 12 8 -1 1
+    data.push_back(Vertex45(point_data<int>(12, 8), -1, 1));
+
+    data.push_back(Vertex45(point_data<int>(6, 4), 1, -1));
+    data.push_back(Vertex45(point_data<int>(6, 4), 2, -1));
+    data.push_back(Vertex45(point_data<int>(6, 12), -1, 1));
+    data.push_back(Vertex45(point_data<int>(6, 12), 2, 1));
+    data.push_back(Vertex45(point_data<int>(10, 8), -1, -1));
+    data.push_back(Vertex45(point_data<int>(10, 8), 1, 1));
+
+    std::sort(data.begin(), data.end());
+    std::vector<polygon_45_data<int> > polys;
+    pf.scan(polys, data.begin(), data.end());
+    polygon_45_set_data<int> ps;
+    std::cout << "inserting1\n";
+    //std::vector<point_data<int> > points;
+    //points.push_back(point_data<int>(0,0));
+    //points.push_back(point_data<int>(0,10));
+    //points.push_back(point_data<int>(10,10));
+    //points.push_back(point_data<int>(10,0));
+    //Polygon45 poly;
+    //poly.set(points.begin(), points.end());
+    //ps.insert(poly);
+    ps.insert(polys[0]);
+
+    polygon_45_set_data<int> ps2;
+    std::cout << "inserting2\n";
+    ps2.insert(polys[0]);
+    std::cout << "applying boolean\n";
+    ps |= ps2;
+    std::vector<polygon_45_data<int> > polys2;
+    std::cout << "getting result\n";
+    ps.get_polygons(polys2);
+    std::cout << ps2 << std::endl;
+    std::cout << ps << std::endl;
+    std::cout << polys[0] << std::endl;
+    std::cout << polys2[0] << std::endl;
+    if(polys != polys2) std::cout << "test Polygon45Set failed\n";
+    return polys == polys2;
+  }
+
+  inline bool testPolygon45SetPerterbation() {
+    polygon_45_formation<int>::Polygon45Formation pf(true);
+    typedef boolean_op_45<int>::Vertex45 Vertex45;
+    std::vector<Vertex45> data;
+    // result == 0 8 -1 1
+    data.push_back(Vertex45(point_data<int>(0, 80), -1, 1));
+    // result == 0 8 1 -1
+    data.push_back(Vertex45(point_data<int>(0, 80), 1, -1));
+    // result == 4 0 1 1
+    data.push_back(Vertex45(point_data<int>(40, 0), 1, 1));
+    // result == 4 0 2 1
+    data.push_back(Vertex45(point_data<int>(40, 0), 2, 1));
+    // result == 4 4 2 -1
+    data.push_back(Vertex45(point_data<int>(40, 40), 2, -1));
+    // result == 4 4 -1 -1
+    data.push_back(Vertex45(point_data<int>(40, 40), -1, -1));
+    // result == 4 12 1 1
+    data.push_back(Vertex45(point_data<int>(40, 120), 1, 1));
+    // result == 4 12 2 1
+    data.push_back(Vertex45(point_data<int>(40, 120), 2, 1));
+    // result == 4 16 2 -1
+    data.push_back(Vertex45(point_data<int>(40, 160), 2, 1));
+    // result == 4 16 -1 -1
+    data.push_back(Vertex45(point_data<int>(40, 160), -1, -1));
+    // result == 6 2 1 -1
+    data.push_back(Vertex45(point_data<int>(60, 20), 1, -1));
+    // result == 6 14 -1 1
+    data.push_back(Vertex45(point_data<int>(60, 140), -1, 1));
+    // result == 6 2 -1 1
+    data.push_back(Vertex45(point_data<int>(60, 20), -1, 1));
+    // result == 6 14 1 -1
+    data.push_back(Vertex45(point_data<int>(60, 140), 1, -1));
+    // result == 8 0 -1 -1
+    data.push_back(Vertex45(point_data<int>(80, 0), -1, -1));
+    // result == 8 0 2 -1
+    data.push_back(Vertex45(point_data<int>(80, 0), 2, -1));
+    // result == 8 4 2 1
+    data.push_back(Vertex45(point_data<int>(80, 40), 2, 1));
+    // result == 8 4 1 1
+    data.push_back(Vertex45(point_data<int>(80, 40), 1, 1));
+    // result == 8 12 -1 -1
+    data.push_back(Vertex45(point_data<int>(80, 120), -1, -1));
+    // result == 8 12 2 -1
+    data.push_back(Vertex45(point_data<int>(80, 120), 2, -1));
+    // result == 8 16 2 1
+    data.push_back(Vertex45(point_data<int>(80, 160), 2, 1));
+    // result == 8 16 1 1
+    data.push_back(Vertex45(point_data<int>(80, 160), 1, 1));
+    // result == 12 8 1 -1
+    data.push_back(Vertex45(point_data<int>(120, 80), 1, -1));
+    // result == 12 8 -1 1
+    data.push_back(Vertex45(point_data<int>(120, 80), -1, 1));
+
+    data.push_back(Vertex45(point_data<int>(60, 40), 1, -1));
+    data.push_back(Vertex45(point_data<int>(60, 40), 2, -1));
+    data.push_back(Vertex45(point_data<int>(60, 120), -1, 1));
+    data.push_back(Vertex45(point_data<int>(60, 120), 2, 1));
+    data.push_back(Vertex45(point_data<int>(100, 80), -1, -1));
+    data.push_back(Vertex45(point_data<int>(100, 80), 1, 1));
+
+    std::sort(data.begin(), data.end());
+    std::vector<polygon_45_data<int> > polys;
+    pf.scan(polys, data.begin(), data.end());
+    polygon_45_set_data<int> ps;
+    std::cout << "inserting1\n";
+    //std::vector<point_data<int> > points;
+    //points.push_back(point_data<int>(0,0));
+    //points.push_back(point_data<int>(0,10));
+    //points.push_back(point_data<int>(10,10));
+    //points.push_back(point_data<int>(10,0));
+    //Polygon45 poly;
+    //poly.set(points.begin(), points.end());
+    //ps.insert(poly);
+    polygon_45_set_data<int> preps(polys[0]);
+   
+    ps.insert(polys[0]);
+    convolve(polys[0], point_data<int>(0, 1) );
+
+    polygon_45_set_data<int> ps2;
+    std::cout << "inserting2\n";
+    ps2.insert(polys[0]);
+    std::cout << "applying boolean\n";
+    ps |= ps2;
+    std::vector<polygon_45_data<int> > polys2;
+    std::cout << "getting result\n";
+    ps.get_polygons(polys2);
+    std::cout << preps << std::endl;
+    std::cout << ps2 << std::endl;
+    std::cout << ps << std::endl;
+    std::cout << polys[0] << std::endl;
+    std::cout << polys2[0] << std::endl;
+    if(polys != polys2) std::cout << "test Polygon45Set failed\n";
+    return polys == polys2;
+    //return true;
+  }
+
+  inline int testPolygon45SetDORA() {
+    std::cout << "testPolygon45SetDORA" << std::endl;
+    std::vector<point_data<int> > pts;
+    pts.push_back(point_data<int>(0, 0));
+    pts.push_back(point_data<int>(10, 0));
+    pts.push_back(point_data<int>(10, 10));
+    pts.push_back(point_data<int>(0, 10));
+    polygon_45_data<int> apoly;
+    apoly.set(pts.begin(), pts.end());
+    polygon_45_set_data<int> ps(apoly);
+    polygon_45_set_data<int> ps2(ps);
+    ps2 = apoly;
+    std::vector<polygon_45_data<int> > apolys;
+    apolys.push_back(apoly);
+    ps2.insert(apolys.begin(), apolys.end());
+    apolys.clear();
+    ps2.get(apolys);
+    std::cout << apolys.size() << std::endl;
+    std::cout << (ps == ps2) << std::endl;
+    std::cout << !(ps != ps2) << std::endl;
+    ps2.clear();
+    std::cout << (ps2.value().empty()) << std::endl;
+    ps2.set(apolys.begin(), apolys.end());
+    ps2.set(ps.value());
+    ps.clean();
+    ps2.set_clean(ps.value());
+    ps2.insert(ps.value().begin(), ps.value().end());
+    ps2.clear();
+    for(polygon_45_set_data<int>::iterator_type itr = ps.begin();
+        itr != ps.end(); ++itr) {
+      ps2.insert(*itr);
+    }
+    std::vector<polygon_45_with_holes_data<int> > apolywhs;
+    ps2.get_polygons_with_holes(apolywhs);
+    std::cout << apolywhs.size() << std::endl;
+    ps2 += 1;
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    ps2 -= 1;
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    rectangle_data<int> rect;
+    extents(rect, apolywhs[0]);
+    ps2.clear();
+    ps2.insert(rect);
+    ps2.extents(rect);
+    ps2.clear();
+    ps2.insert(rect);
+    ps2.clear();
+    ps2.insert(apolywhs[0]);
+    apolywhs.clear();
+    ps2.get_trapezoids(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    ps2 *= ps;
+    std::cout << (ps2 == ps) << std::endl;
+    ps2 ^= ps;
+    std::cout << ps2.empty() << std::endl;
+    axis_transformation atr(axis_transformation::WS);
+    ps2 = ps;
+    ps.transform(atr);
+    transformation<int> tr(atr);
+    tr.invert();
+    ps.transform(tr);
+    ps.scale_up(2);
+    ps.scale_down(2);
+    std::cout << (ps2 == ps) << std::endl;
+    pts.clear();
+    pts.push_back(point_data<int>(0,0));
+    pts.push_back(point_data<int>(10,10));
+    pts.push_back(point_data<int>(10,11));
+    pts.push_back(point_data<int>(0,21));
+    apoly.set(pts.begin(), pts.end());
+    ps2.clear();
+    ps2.insert(apoly);
+    ps2 -= 1;
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    pts.clear();
+    pts.push_back(point_data<int>(0, 0));
+    pts.push_back(point_data<int>(10, 10));
+    pts.push_back(point_data<int>(0, 20));
+    apoly.set(pts.begin(), pts.end());
+    ps2.clear();
+    ps2.insert(apoly);
+    pts.clear();
+    pts.push_back(point_data<int>(0, 5));
+    pts.push_back(point_data<int>(10, 15));
+    pts.push_back(point_data<int>(0, 25));
+    apoly.set(pts.begin(), pts.end());
+    ps2.insert(apoly);
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    return 0;
+
+  }
+}
+}
+using namespace gtl;
+
+bool testInterval() {
+  interval_data<int> interval(0, 10), interval2(10, 20);
+  if(!abuts(interval, interval2)) return false;
+  if(!boundaries_intersect(interval, interval2)) return false;
+  if(boundaries_intersect(interval, interval2, false)) return false;
+  if(intersect(interval, interval2, false)) return false;
+  if(!intersect(interval, interval2)) return false;
+  if(euclidean_distance(interval, interval2) != 0) return false;
+  encompass(interval, interval2);
+  set(interval, LOW, 0);
+  high(interval, 10);
+  scale(interval, 2.0f);
+  scale(interval, 0.5f);
+  if(low(interval) != 0) return false;
+  if(high(interval) != 10) return false;
+  move(interval, 10);
+  if(!equivalence(interval, interval2)) return false;
+  flip(interval, 10);
+  bloat(interval, -2);
+  shrink(interval, -2);
+  flip(interval, 10);
+  if(!equivalence(interval, interval2)) return false;
+  interval_data<int> half = get_half(interval, LOW);
+  if(high(half) != 15) return false;
+  convolve(interval, interval2);
+  if(high(interval) != 40) return false;
+  deconvolve(interval, interval2);
+  if(!equivalence(interval, interval2)) return false;
+  reflected_convolve(interval, interval2);
+  if(low(interval) != -10) return false;
+  reflected_deconvolve(interval, interval2);
+  if(!equivalence(interval, interval2)) return false;
+  euclidean_distance(interval, 0);
+  move(interval, 20);
+  if(euclidean_distance(interval, interval2) != 10) return false;
+  interval = interval2;
+  move(interval, -5);
+  if(!intersects(interval, interval2)) return false;
+  move(interval, 15);
+  if(!abuts(interval, interval2)) return false;
+  if(abuts(interval, interval2, HIGH)) return false;
+  move(interval, 10);
+  generalized_intersect(interval, interval2);
+  move(interval, -10);
+  if(!equivalence(interval, interval2)) return false;
+  if(get(interval, LOW) != low(interval)) return false;
+  if(get(interval, HIGH) != high(interval)) return false;
+  if(center(interval2) != 15) return false;
+  if(delta(interval2) != 10) return false;
+  assign(interval, interval2);
+  low(interval, 0);
+  if(low(interval) != 0) return false;
+  high(interval, 10);
+  join_with(interval, interval2);
+  if(high(interval) != high(interval2)) return false;
+  return true;
+}
+
+bool testRectangle() {
+  rectangle_data<int> rect, rect2;
+#ifdef BOOST_POLYGON_MSVC
+  horizontal(rect, interval_data<int>(0, 10));
+  vertical(rect, interval_data<int>(20, 30));
+#else
+  horizontal(rect, interval_data<polygon_long_long_type>(0, 10));
+  vertical(rect, interval_data<polygon_long_long_type>(20, 30));
+#endif
+  xl(rect2, 0);
+  xh(rect2, 10);
+  yl(rect2, 20);
+  yh(rect2, 30);
+  if(euclidean_distance(rect, rect2) != 0) return false;
+  if(euclidean_distance(rect2, rect) != 0) return false;
+#ifdef BOOST_POLYGON_MSVC
+  set(rect, HORIZONTAL, interval_data<int>(0, 10));
+  if(!equivalence(horizontal(rect), interval_data<int>(0, 10))) return false;
+  if(!equivalence(vertical(rect2), interval_data<int>(20, 30))) return false;
+#else
+  set(rect, HORIZONTAL, interval_data<polygon_long_long_type>(0, 10));
+  if(!equivalence(horizontal(rect), interval_data<polygon_long_long_type>(0, 10))) return false;
+  if(!equivalence(vertical(rect2), interval_data<polygon_long_long_type>(20, 30))) return false;
+#endif
+  if(xl(rect) != 0) return false;
+  if(xh(rect) != 10) return false;
+  if(yl(rect) != 20) return false;
+  if(yh(rect) != 30) return false;
+  move(rect, HORIZONTAL, 10);
+  if(xl(rect) != 10) return false;
+#ifdef BOOST_POLYGON_MSVC
+  set_points(rect, point_data<int>(0, 20), point_data<int>(10, 30));
+#else
+  set_points(rect, point_data<int>(0, 20), point_data<polygon_long_long_type>(10, 30));
+#endif
+  if(xl(rect) != 0) return false;
+  convolve(rect, rect2);
+  if(xh(rect) != 20) return false;
+  deconvolve(rect, rect2);
+  if(xh(rect) != 10) return false;
+  reflected_convolve(rect, rect2);
+  reflected_deconvolve(rect, rect2);
+  if(!equivalence(rect, rect2)) return false;
+#ifdef BOOST_POLYGON_MSVC
+  convolve(rect, point_data<int>(100, 200));
+#else
+  convolve(rect, point_data<polygon_long_long_type>(100, 200));
+#endif
+  if(xh(rect) != 110) return false;
+  deconvolve(rect, point_data<int>(100, 200));
+  if(!equivalence(rect, rect2)) return false;
+  xh(rect, 100);
+  if(delta(rect, HORIZONTAL) != 100) return false;
+  if(area(rect) != 1000) return false;
+  if(half_perimeter(rect) != 110) return false;
+  if(perimeter(rect) != 220) return false;
+  if(guess_orientation(rect) != HORIZONTAL) return false;
+  return true;
+}
+
+
+bool testPolygon() {
+  int rect[4] = {0, 10, 20, 30};
+  iterator_compact_to_points<int*, point_data<int> > itr(rect, rect+4);
+  iterator_compact_to_points<int*, point_data<int> > itr_end(rect, rect+4);
+  std::vector<point_data<int> > points;
+  points.insert(points.end(), itr, itr_end);
+  polygon_90_data<int> p90;
+  assign(p90, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p90) != COUNTERCLOCKWISE) return false;
+  polygon_45_data<int> p45;
+  assign(p45, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  polygon_data<int> p;
+  assign(p, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p) != COUNTERCLOCKWISE) return false;
+  set_compact(p90, rect, rect+4);
+  if(winding(p90) != COUNTERCLOCKWISE) return false;
+  points.clear();
+  points.push_back(point_data<int>(0, 0));
+  points.push_back(point_data<int>(10, 10));
+  points.push_back(point_data<int>(0, 20));
+  points.push_back(point_data<int>(-10, 10));
+  set_points(p45, points.begin(), points.end());
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  std::swap(points[1], points[3]);
+  set_points(p, points.begin(), points.end());
+  if(winding(p) == COUNTERCLOCKWISE) return false;
+  point_data<int> cp;
+  center(cp, p);
+  if(cp != point_data<int>(0, 10)) return false;
+  move(p, HORIZONTAL, 3);
+  rectangle_data<int> bounding_box;
+  extents(bounding_box, p);
+  if(bounding_box != rectangle_data<int>(interval_data<int>(-7, 13), interval_data<int>(0, 20))) return false;
+  if(area(p90) != 400) return false;
+  if(area(p45) != 200) return false;
+  if(perimeter(p90) != 80) return false;
+  return true;
+}
+
+bool testPolygonAssign() {
+  polygon_data<int> p;
+  polygon_data<int> p1;
+  polygon_45_data<int> p_45;
+  polygon_45_data<int> p_451;
+  polygon_90_data<int> p_90;
+  polygon_90_data<int> p_901;
+  polygon_with_holes_data<int> p_wh;
+  polygon_with_holes_data<int> p_wh1;
+  polygon_45_with_holes_data<int> p_45_wh;
+  polygon_45_with_holes_data<int> p_45_wh1;
+  polygon_90_with_holes_data<int> p_90_wh;
+  polygon_90_with_holes_data<int> p_90_wh1;
+  assign(p, p1);
+  assign(p, p_45);
+  assign(p, p_90);
+  //assign(p, p_wh);
+  //assign(p, p_45_wh);
+  //assign(p, p_90_wh);
+  //assign(p_45, p);
+  assign(p_451, p_45);
+  assign(p_45, p_90);
+  //assign(p_45, p_wh);
+  //assign(p_45, p_45_wh);
+  //assign(p_45, p_90_wh);
+  //assign(p_90, p);
+  //assign(p_90, p_45);
+  assign(p_901, p_90);
+  //assign(p_90, p_wh);
+  //assign(p_90, p_45_wh);
+  //assign(p_90, p_90_wh);
+  assign(p_wh, p); 
+  assign(p_wh, p_45); 
+  assign(p_wh, p_90); 
+  assign(p_wh1, p_wh);
+  assign(p_wh, p_45_wh);
+  assign(p_wh, p_90_wh);
+  //assign(p_45_wh, p); 
+  assign(p_45_wh, p_45); 
+  assign(p_45_wh, p_90); 
+  //assign(p_45_wh, p_wh);
+  assign(p_45_wh1, p_45_wh);
+  //assign(p_90_wh, p); 
+  //assign(p_90_wh, p_45);
+  assign(p_90_wh, p_90);
+  assign(p_90_wh1, p_90_wh);
+  return true;
+}
+
+int testPropertyMerge() {
+  rectangle_data<int> rect1 = construct<rectangle_data<int> >(0, 1, 10, 11);
+  rectangle_data<int> rect2 = construct<rectangle_data<int> >(5, 6, 17, 18);
+  property_merge_90<int, int> pm;
+  pm.insert(rect1, 0);
+  pm.insert(rect2, 1);
+  std::map<std::set<int>, polygon_90_set_data<int> > result;
+  pm.merge(result);
+  std::vector<rectangle_data<int> > rects;
+  std::set<int> key;
+  key.insert(0);
+  result[key].get(rects);
+  std::cout << rects.size() << std::endl;
+  std::vector<polygon_data<int> > polys;
+  result[key].get(polys);
+  std::cout << polys.size() << std::endl;
+  std::vector<polygon_90_with_holes_data<int> > polywhs;
+  result[key].get(polywhs);
+  std::cout << polys.size() << std::endl;
+  return result.size();
+}
+
+bool testPolygonWithHoles() {
+  int rect[4] = {0, 10, 20, 30};
+  iterator_compact_to_points<int*, point_data<int> > itr(rect, rect+4);
+  iterator_compact_to_points<int*, point_data<int> > itr_end(rect, rect+4);
+  std::vector<point_data<int> > points;
+  points.insert(points.end(), itr, itr_end);
+  polygon_45_with_holes_data<int> p45wh;
+  assign(p45wh, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p45wh) != COUNTERCLOCKWISE) return false;
+  polygon_45_with_holes_data<int> p45;
+  assign(p45, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  polygon_45_with_holes_data<int> p;
+  assign(p, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p) != COUNTERCLOCKWISE) return false;
+  set_compact(p45wh, rect, rect+4);
+  if(winding(p45wh) != COUNTERCLOCKWISE) return false;
+  points.clear();
+  points.push_back(point_data<int>(0, 0));
+  points.push_back(point_data<int>(10, 10));
+  points.push_back(point_data<int>(0, 20));
+  points.push_back(point_data<int>(-10, 10));
+  set_points(p45, points.begin(), points.end());
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  std::swap(points[1], points[3]);
+  set_points(p, points.begin(), points.end());
+  if(winding(p) == COUNTERCLOCKWISE) return false;
+  point_data<int> cp;
+  center(cp, p);
+  if(cp != point_data<int>(0, 10)) return false;
+  move(p, HORIZONTAL, 3);
+  rectangle_data<int> bounding_box;
+  extents(bounding_box, p);
+  if(bounding_box != rectangle_data<int>(interval_data<int>(-7, 13), interval_data<int>(0, 20))) return false;
+  if(area(p45wh) != 400) return false;
+  if(area(p45) != 200) return false;
+  if(perimeter(p45wh) != 80) return false;
+  return true;
+}
+
+using namespace gtl;
+
+typedef int Unit;
+typedef point_data<int> Point;
+typedef interval_data<int> Interval;
+typedef rectangle_data<int> Rectangle;
+typedef polygon_90_data<int> Polygon;
+typedef polygon_90_with_holes_data<int> PolygonWithHoles;
+typedef polygon_45_data<int> Polygon45;
+typedef polygon_45_with_holes_data<int> Polygon45WithHoles;
+typedef polygon_90_set_data<int> PolygonSet;
+typedef polygon_45_set_data<int> Polygon45Set;
+typedef axis_transformation AxisTransform;
+typedef transformation<int> Transform;
+
+bool getRandomBool() {
+  return rand()%2 != 0;
+}
+int getRandomInt() {
+  return rand()%6-2;
+}
+Point getRandomPoint() {
+  int x = rand()%8;
+  int y = rand()%8;
+  return Point(x, y);
+}
+Polygon45 getRandomTriangle() {
+  Point pts[3];
+  pts[0] = getRandomPoint();
+  pts[1] = pts[2] = pts[0];
+  int disp = getRandomInt();
+  bool dir = getRandomBool();
+  x(pts[2], x(pts[2]) + disp);
+  x(pts[1], x(pts[1]) + disp);
+  if(dir)
+    y(pts[1], y(pts[1]) + disp);
+  else 
+    y(pts[1], y(pts[1]) - disp);
+  return Polygon45(pts, pts+3);
+}
+
+bool nonInteger45StessTest() {
+  for(unsigned int tests = 0; tests < 10; ++tests) {
+    Polygon45Set ps1, ps2;
+    std::vector<Polygon45> p45s;
+    for(unsigned int i = 0; i < 10; ++i) {
+      Polygon45 p45 = getRandomTriangle();
+      p45s.push_back(p45);
+      ps1.insert(p45);
+      scale_up(p45, 2);
+      ps2.insert(p45);
+    }
+    std::vector<Polygon45> polys;
+    ps1.get(polys);
+    Polygon45Set ps3;
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      scale_up(polys[i], 2);
+      ps3.insert(polys[i]);
+    }
+    Polygon45Set ps4 = ps3 ^ ps2;
+    std::vector<Polygon45> polys_error;
+    ps4.get(polys_error);
+    for(unsigned int i = 0; i < polys_error.size(); ++i) {
+      //if(polys_error[i].size() > 3) return false;
+      if(area(polys_error[i]) != 1) {
+        if(area(polys_error[i]) == 2) {
+          //if two area 1 errors merge it will have area 2
+          continue;
+        }
+        std::cout << "test failed\n";
+        for(unsigned int j =0; j < p45s.size(); ++j) {
+          std::cout << p45s[j] << std::endl;
+        }
+        return false;
+      }
+    }
+  }
+  return true;
+}
+
+bool validate_polygon_set_op(Polygon45Set& ps45_o,
+                             const Polygon45Set& ps45_1,
+                             const Polygon45Set& ps45_2,
+                             int op_type) {
+  Polygon45Set s_ps_45_o(ps45_o);
+  Polygon45Set s_ps_45_1(ps45_1);
+  Polygon45Set s_ps_45_2(ps45_2);
+  s_ps_45_o.scale_up(2);
+  s_ps_45_1.scale_up(2);
+  s_ps_45_2.scale_up(2);
+  Polygon45Set s_ps_45_validate;
+  if(op_type == 0) {
+    s_ps_45_validate = s_ps_45_1 + s_ps_45_2;
+    s_ps_45_validate += Rectangle(4, 4, 6, 6);
+  } else if(op_type == 1) {
+    s_ps_45_validate = s_ps_45_1 * s_ps_45_2;
+    s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+  } else if(op_type == 2) {
+    s_ps_45_validate = s_ps_45_1 ^ s_ps_45_2;
+    s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+  } else {
+    s_ps_45_validate = s_ps_45_1 - s_ps_45_2;
+    s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+  }
+  if(s_ps_45_validate != s_ps_45_o) {
+    std::cout << "TEST FAILED\n";
+    std::vector<Polygon45> polys;
+    s_ps_45_o.get(polys);
+    std::cout << "Result:\n";
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      std::cout << polys[i] << std::endl;
+    }
+    polys.clear();
+    s_ps_45_validate.get(polys);
+    std::cout << "Expected Result:\n";
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      std::cout << polys[i] << std::endl;
+    }
+    //redo the operation, set breakpoints here
+    switch (op_type) {
+    case 0:
+      ps45_o = ps45_1 + ps45_2;
+      ps45_o.get(polys);//needed to force clean
+      break;
+    case 1:
+      ps45_o = ps45_1 * ps45_2;
+      break;
+    case 2:
+      ps45_o = ps45_1 ^ ps45_2;
+      break;
+    default:
+      ps45_o = ps45_1 - ps45_2;
+    };
+    //redo the check, set breakpoints here
+    if(op_type == 0) {
+      s_ps_45_validate = s_ps_45_1 + s_ps_45_2;
+      s_ps_45_validate += Rectangle(4, 4, 6, 6);
+      s_ps_45_validate.get(polys);
+    } else if(op_type == 1) {
+      s_ps_45_validate = s_ps_45_1 * s_ps_45_2;
+      s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+    } else if(op_type == 2) {
+      s_ps_45_validate = s_ps_45_1 ^ s_ps_45_2;
+      s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+    } else {
+      s_ps_45_validate = s_ps_45_1 - s_ps_45_2;
+      s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+    }
+    return false;
+  }
+  return true;
+}
+
+bool test_two_polygon_sets(const Polygon45Set& ps45_1,
+                           const Polygon45Set& ps45_2) {
+  std::cout << "test two polygon sets \n";
+  std::vector<Polygon45> polys;
+  ps45_1.get(polys);
+  std::cout << "LVALUE:\n";
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  polys.clear();
+  ps45_2.get(polys);
+  std::cout << "RVALUE:\n";
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  Polygon45Set ps45_o;
+  std::cout << "OR\n";
+  ps45_o = ps45_1 + ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 0)) return false;
+  std::cout << "AND\n";
+  ps45_o = ps45_1 * ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 1)) return false;
+  std::cout << "XOR\n";
+  ps45_o = ps45_1 ^ ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 2)) return false;
+  std::cout << "SUBTRACT\n";
+  ps45_o = ps45_1 - ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 3)) return false;
+  return true;
+}
+
+bool test_two_polygons(const Polygon45& p45_1,
+                       const Polygon45& p45_2) {
+  Polygon45Set ps45_1, ps45_2;
+  ps45_1.insert(p45_1);
+  ps45_2.insert(p45_2);
+  ps45_1.insert(rectangle_data<int>(10, -100, 20, 100));
+  ps45_2.insert(rectangle_data<int>(0, 10, 100, 20));
+  if(!test_two_polygon_sets(ps45_1, ps45_2)) return false;
+  Polygon45Set ps45_1_c = ps45_1 - Rectangle(0, 0, 2, 5);
+  Polygon45Set ps45_2_c = ps45_2 - Rectangle(0, 0, 2, 5);
+  if(!test_two_polygon_sets(ps45_1_c, ps45_2_c)) return false;
+  if(!test_two_polygon_sets(ps45_1_c, ps45_2)) return false;
+  if(!test_two_polygon_sets(ps45_1, ps45_2_c)) return false;
+  return true;
+}
+
+bool test_45_touch() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(5, 5, 15, 15);
+  rectangle_data<int> rect3(5, 20, 15, 25);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  std::vector<std::set<int> > graph(3);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1 && graph[2].size() == 0) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_touch_ur() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 5, 10, 10);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_touch_r() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 0, 10, 5);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_touch_boundaries() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(10, 0, 20, 10);
+  rectangle_data<int> rect3(20, 0, 30, 10);
+  rectangle_data<int> rect4(0, 10, 10, 20);
+  rectangle_data<int> rect5(10, 10, 20, 20);
+  rectangle_data<int> rect6(20, 10, 30, 20);
+  rectangle_data<int> rect7(0, 20, 10, 30);
+  rectangle_data<int> rect8(10, 20, 20, 30);
+  rectangle_data<int> rect9(20, 20, 30, 30);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  ce.insert(rect4);
+  ce.insert(rect5);
+  ce.insert(rect6);
+  ce.insert(rect7);
+  ce.insert(rect8);
+  ce.insert(rect9);
+  std::vector<std::set<int> > graph(9);
+  ce.extract(graph);
+  for(unsigned int i = 0; i < 9; ++i) {
+    std::cout << i << ": ";
+    for(std::set<int>::iterator itr = graph[i].begin(); itr != graph[i].end(); ++itr) {
+      std::cout << *itr << " ";
+    } std::cout << std::endl;
+  }
+  if(graph[0].size() == 3 && graph[1].size() == 5 && graph[2].size() == 3 &&
+     graph[3].size() == 5 && graph[4].size() == 8 && graph[5].size() == 5 &&
+     graph[6].size() == 3 && graph[7].size() == 5 && graph[8].size() == 3) {
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_concept_interact() {
+  using namespace gtl;
+  std::vector<polygon_45_data<int> > polys;
+  polys += rectangle_data<int>(10, 10, 20, 20);
+  polys += rectangle_data<int>(15, 15, 25, 25);
+  polys += rectangle_data<int>(5, 25, 10, 35);
+  interact(polys, rectangle_data<int>(0, 0, 13, 13));
+  if(polys.size() != 1) return false;
+  return true;
+}
+
+bool test_aa_touch() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(5, 5, 15, 15);
+  rectangle_data<int> rect3(5, 20, 15, 25);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  std::vector<std::set<int> > graph(3);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1 && graph[2].size() == 0) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_ur() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 5, 10, 10);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_ur2() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect2(5, 5, 10, 10);
+  point_data<int> pts[3] = {
+    point_data<int>(0, 0),
+    point_data<int>(5, 5),
+    point_data<int>(0, 5)
+  };
+  polygon_data<int> poly;
+  poly.set(pts, pts+3);
+  ce.insert(poly);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_r() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 0, 10, 5);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_boundaries() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(10, 0, 20, 10);
+  rectangle_data<int> rect3(20, 0, 30, 10);
+  rectangle_data<int> rect4(0, 10, 10, 20);
+  rectangle_data<int> rect5(10, 10, 20, 20);
+  rectangle_data<int> rect6(20, 10, 30, 20);
+  rectangle_data<int> rect7(0, 20, 10, 30);
+  rectangle_data<int> rect8(10, 20, 20, 30);
+  rectangle_data<int> rect9(20, 20, 30, 30);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  ce.insert(rect4);
+  ce.insert(rect5);
+  ce.insert(rect6);
+  ce.insert(rect7);
+  ce.insert(rect8);
+  ce.insert(rect9);
+  std::vector<std::set<int> > graph(9);
+  ce.extract(graph);
+  for(unsigned int i = 0; i < 9; ++i) {
+    std::cout << i << ": ";
+    for(std::set<int>::iterator itr = graph[i].begin(); itr != graph[i].end(); ++itr) {
+      std::cout << *itr << " ";
+    } std::cout << std::endl;
+  }
+  if(graph[0].size() == 3 && graph[1].size() == 5 && graph[2].size() == 3 &&
+     graph[3].size() == 5 && graph[4].size() == 8 && graph[5].size() == 5 &&
+     graph[6].size() == 3 && graph[7].size() == 5 && graph[8].size() == 3) {
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_concept_interact() {
+  using namespace gtl;
+  std::vector<polygon_data<int> > polys;
+  polys += rectangle_data<int>(10, 10, 20, 20);
+  polys += rectangle_data<int>(15, 15, 25, 25);
+  polys += rectangle_data<int>(5, 25, 10, 35);
+  interact(polys, rectangle_data<int>(0, 0, 13, 13));
+  if(polys.size() != 1) return false;
+  return true;
+}
+
+bool test_get_rectangles() {
+  using namespace gtl;
+  polygon_90_set_data<int> ps(VERTICAL);
+  ps += rectangle_data<int>(0, 0, 10, 10);
+  ps += rectangle_data<int>(5, 5, 15, 15);
+  std::vector<polygon_90_data<int> > polys;
+  ps.get_rectangles(polys, HORIZONTAL);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(polys.size() != 3) return false;
+  std::vector<rectangle_data<int> > rects;
+  ps.get_rectangles(rects, HORIZONTAL);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 3) return false;
+  if(!equivalence(rects[2], rectangle_data<int>(5,10,15,15))) return false;
+
+  get_rectangles(polys, rects, VERTICAL);
+  get_rectangles(rects, polys, HORIZONTAL);
+  return equivalence(rects, polys);
+}
+
+bool test_get_trapezoids() {
+  using namespace gtl;
+  polygon_45_set_data<int> ps;
+  ps += rectangle_data<int>(0, 0, 10, 10);
+  ps += rectangle_data<int>(5, 5, 15, 15);
+  std::vector<polygon_45_data<int> > polys;
+  ps.get_trapezoids(polys, HORIZONTAL);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(polys.size() != 3) return false;
+  std::vector<polygon_45_data<int> > rects;
+  ps.get_trapezoids(rects, HORIZONTAL);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 3) return false;
+  if(!equivalence(rects[2], rectangle_data<int>(5,10,15,15))) return false;
+  get_trapezoids(polys, rects, VERTICAL);
+  get_trapezoids(rects, polys, HORIZONTAL);
+  return equivalence(rects, polys);
+}
+
+bool test_SQRT1OVER2() {
+  Point pts[] = {
+    Point(100, 100),
+    Point(0, 100),
+    Point(100, 200),
+    Point(0, 300),
+    Point(100, 400),
+    Point(0, 500),
+    Point(100, 500),
+    Point(100, 600),
+    Point(200, 500),
+    Point(300, 600),
+    Point(400, 500),
+    Point(500, 600),
+    Point(500, 500),
+    Point(600, 500),
+    Point(500, 400),
+    Point(600, 300),
+    Point(500, 200),
+    Point(600, 100),
+    Point(500, 100),
+    Point(500, 0),
+    Point(400, 100),
+    Point(300, 0),
+    Point(200, 100),
+    Point(100, 0),
+    Point(100, 100)
+  };
+  Polygon45 p45(pts, pts+25);
+  std::cout << is_45(p45) << std::endl;
+  std::cout << p45 << std::endl;
+  Polygon45Set ps45;
+  ps45 += p45;
+  ps45.resize(10, SQRT1OVER2, ORTHOGONAL);
+  std::vector<Polygon45> polys;
+  ps45.get(polys);
+  if(polys.size() != 1) return false;
+  Point pts2[] = {
+    Point(90, 90),
+    Point(-10, 90),
+    Point(-10, 100),
+    Point(90, 200),
+    Point(-10, 300),
+    Point(90, 400),
+    Point(-10, 500),
+    Point(-10, 510),
+    Point(90, 510),
+    Point(90, 610),
+    Point(100, 610),
+    Point(200, 510),
+    Point(300, 610),
+    Point(400, 510),
+    Point(500, 610),
+    Point(510, 610),
+    Point(510, 510),
+    Point(610, 510),
+    Point(610, 500),
+    Point(510, 400),
+    Point(610, 300),
+    Point(510, 200),
+    Point(610, 100),
+    Point(610, 90),
+    Point(510, 90),
+    Point(510, -10),
+    Point(500, -10),
+    Point(400, 90),
+    Point(300, -10),
+    Point(200, 90),
+    Point(100, -10),
+    Point(90, -10),
+    Point(90, 90)
+  };
+  Polygon45 p45reference(pts2, pts2+33);
+  std::cout << is_45(polys[0]) << std::endl;
+  std::cout << polys[0] << std::endl;
+  std::cout << p45reference << std::endl;
+  std::cout << is_45(p45reference) << std::endl;
+  if(!equivalence(polys[0], p45reference)) {
+    std::cout << "polys don't match\n";
+    return false;
+  }
+  ps45.resize(-10, SQRT1OVER2, ORTHOGONAL);
+  polys.clear();
+  ps45.get(polys);
+  if(polys.size() != 1) return false;
+  std::cout << is_45(polys[0]) << std::endl;
+  std::cout << polys[0] << std::endl;
+  if(!equivalence(polys[0], p45)) {
+    std::cout << "polys don't match\n";
+    return false;
+  }
+  ps45.resize(11, SQRT1OVER2, UNFILLED);
+  polys.clear();
+  ps45.get(polys);
+  if(polys.size() != 1) return false;
+  std::cout << is_45(polys[0]) << std::endl;
+  std::cout << polys[0] << std::endl;
+  return true;
+}
+
+bool test_scaling_by_floating(){
+  Point pts[] = {
+    Point(1, 1),
+    Point(10, 1),
+    Point(1, 10)
+  };
+  Polygon45 poly(pts, pts+3);
+  Polygon45Set ps45;
+  ps45 += poly;
+  ps45.scale(double(2.5));
+  std::vector<Polygon45> polys;
+  ps45.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+    std::cout << area(polys[i]) << std::endl;
+  }
+  if(polys.size() != 1) return false;
+  if(area(polys[0]) != 242) return false;
+  scale(ps45, double(1)/double(2.5));
+  polys.clear();
+  ps45.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  return equivalence(polys, poly);
+}
+
+bool test_directional_resize() {
+  std::vector<Rectangle> rects;
+  rects.push_back(Rectangle(0, 0, 100, 100));
+  resize(rects, -10, 10, -10, 10);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 1) return false;
+  if(rects[0] != Rectangle(10, 10, 110, 110)) return false;
+
+  return true;
+}
+
+bool test_self_xor() {
+  std::vector<Rectangle> rects;
+  rects.push_back(Rectangle(0, 0, 10, 10));
+  rects.push_back(Rectangle(5, 5, 15, 15));
+  self_xor(rects);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() == 4) return true;
+  else return false;
+}
+
+bool test_grow_and_45() {
+  polygon_45_set_data<int> ps;
+  ps.insert(Rectangle(0, 0, 5, 5));
+  ps.insert(Rectangle(5, 5, 15, 15));
+  grow_and(ps, 2);
+  std::vector<polygon_45_data<int> > rects;
+  ps.get_trapezoids(rects);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 1) return false;
+  return equivalence(rects, Rectangle(3, 3, 7, 7));
+}
+
+bool test_self_xor_45() {
+  polygon_45_set_data<int> ps;
+  ps.insert(Rectangle(0, 0, 10, 10));
+  ps.insert(Rectangle(5, 5, 15, 15));
+  self_xor(ps);
+  std::vector<polygon_45_data<int> > rects;
+  ps.get_trapezoids(rects);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() == 4) return true;
+  else return false;
+}
+
+bool testViewCopyConstruct() {
+  PolygonSet ps1, ps2;
+  ps1.insert(Rectangle(0, 0, 10, 10));
+  ps2.insert(Rectangle(5, 5, 15, 15));
+  PolygonSet psr = ps1 - ps2;
+  std::vector<Rectangle> rects;
+  rects += psr;
+  for(unsigned int i = 0; i < rects.size(); ++i)
+    std::cout << rects[i] << std::endl;
+  if( rects.size() != 2) return false;
+  Polygon45Set ps45_1, ps45_2;
+  ps45_1.insert(Rectangle(0, 0, 10, 10));
+  ps45_2.insert(Rectangle(5, 5, 15, 15));
+  Polygon45Set ps45_r = ps45_1 - ps45_2;
+  std::vector<Polygon45> polys;
+  ps45_r.get_trapezoids(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i)
+    std::cout << polys[i] << std::endl;
+  if( polys.size() != 2) return false;
+  return true;
+}
+
+bool testpip() {
+  std::vector<Point> pts;
+  pts.push_back(Point(0, 0));
+  pts.push_back(Point(10, 0));
+  pts.push_back(Point(20, 10));
+  pts.push_back(Point(0, 20));
+  pts.push_back(Point(30, 40));
+  pts.push_back(Point(-10, 50));
+  pts.push_back(Point(-20, -20));
+  pts.push_back(Point(0, 0));
+  polygon_data<int> poly;
+  polygon_with_holes_data<int> poly2;
+  polygon_45_data<int> poly45;
+  polygon_45_with_holes_data<int> poly245;
+  polygon_90_data<int> poly90;
+  polygon_90_with_holes_data<int> poly290;
+  poly.set(pts.begin(), pts.end());
+  poly2.set(pts.begin(), pts.end());
+  assign(poly45, Rectangle(0, 0, 100, 100));
+  assign(poly245, Rectangle(0, 0, 100, 100));
+  assign(poly90, Rectangle(0, 0, 100, 100));
+  assign(poly290, Rectangle(0, 0, 100, 100));
+  for(unsigned int i = 0; i < pts.size(); ++i) {
+    if(!contains(poly, pts[i], true)) return false;
+    if(contains(poly, pts[i], false)) return false;
+    if(!contains(poly2, pts[i], true)) return false;
+    if(contains(poly2, pts[i], false)) return false;
+  }
+  if(!contains(poly45, pts[0], true)) return false;
+  if(contains(poly245, pts[0], false)) return false;
+  if(!contains(poly90, pts[0], true)) return false;
+  if(contains(poly290, pts[0], false)) return false;
+  Point pt(0, -10);
+  if(contains(poly, pt)) return false;
+  Point p2(0, 1);
+  if(!contains(poly, p2)) return false;
+  return true;
+}
+
+void testHand() {
+  using namespace gtl;
+  int handcoords[] = {
+12375, 11050, 13175, 10200, 15825, 9275, 18750, 8525, 24150, 8300, 27575, 8400, 31775, 7800,
+35975, 7200, 41375, 4800, 42575, 4200, 43175, 4200, 47375, 2400, 49175, 1800, 51150, 2200,
+52275, 2825, 52625, 4150, 52375, 4975, 51575, 6000, 49275, 6850, 45700, 7950, 43175, 9600,
+39575, 10800, 37775, 12000, 37775, 12600, 37775, 13800, 38975, 14400, 41375, 14400, 45575, 13200,
+48600, 13000, 51575, 13200, 55175, 12600, 58775, 12600, 61175, 13200, 62375, 14400, 62550, 15700,
+61975, 16875, 60775, 17600, 60100, 17675, 58525, 17675, 56150, 17575, 52175, 18000, 47975, 18600,
+45575, 19200, 44375, 19200, 42675, 19325, 41600, 19775, 41600, 20500, 42100, 20825, 44975, 20400,
+48575, 20400, 52775, 21000, 53975, 21000, 57575, 21000, 62375, 21000, 65450, 22000, 66300, 23100,
+66100, 24550, 64750, 25925, 62975, 26400, 61175, 26400, 58775, 26400, 56025, 26050, 53450, 26025,
+50975, 26400, 48575, 26400, 46775, 26400, 43650, 26075, 41375, 26400, 40775, 27000, 40775, 27600,
+42225, 28650, 44375, 29400, 48575, 30000, 50975, 31200, 53975, 31800, 58775, 33000, 61200, 34300,
+62375, 35400, 62375, 37200, 61175, 38400, 60000, 38700, 57575, 38400, 54550, 37575, 50975, 36600,
+49075, 36125, 47750, 36125, 45700, 35425, 42350, 34350, 38900, 33775, 30575, 33000, 26975, 33600,
+25975, 34900, 26375, 36600, 28175, 38400, 30575, 40800, 32375, 43800, 33200, 46200, 33200, 48000,
+32650, 49300, 31425, 50000, 29950, 50125, 28825, 49375, 27575, 48000, 25825, 46000, 23975, 44100,
+22175, 42600, 19775, 39600, 17325, 37300, 14975, 34800, 13175, 31800, 10775, 29400, 9600, 27400,
+10175, 27000, 11375, 27600, 12575, 28800, 14375, 31800, 16175, 34800, 18575, 37200, 21575, 39000,
+22775, 40200, 23975, 41400, 24575, 42600, 26375, 44400, 28325, 46000, 29850, 46775, 31175, 46200,
+31550, 44575, 30575, 43200, 28775, 40800, 25775, 38400, 24575, 34800, 24750, 33175, 26975, 31800,
+29975, 31800, 33575, 31800, 37775, 32400, 39575, 33000, 41975, 33600, 45150, 34175, 46975, 34750,
+48575, 35400, 50975, 35400, 51575, 34800, 51875, 33725, 50775, 32575, 48575, 31800, 45750, 30875,
+43775, 30600, 41375, 29400, 38975, 28800, 35975, 28200, 34775, 27600, 34175, 27000, 34775, 25800,
+37175, 25200, 40175, 25200, 43175, 25200, 46775, 25200, 50975, 25425, 53375, 25200, 55175, 24600,
+55525, 23450, 53975, 22200, 52775, 22200, 49075, 21850, 45950, 21925, 40775, 21600, 37775, 21600,
+35150, 21350, 34325, 20950, 34175, 19800, 35975, 19200, 38375, 19200, 40750, 18900, 42575, 18600,
+44375, 18000, 47975, 17400, 50375, 17125, 52025, 16625, 52775, 15600, 52100, 14625, 49675, 14125,
+48625, 14125, 46775, 14400, 44375, 15000, 41375, 15150, 37700, 15275, 34775, 15600, 32850, 15925,
+31775, 15600, 31425, 14875, 32375, 13800, 36575, 11400, 38975, 10200, 41375, 9000, 43075, 8150,
+43650, 7200, 43325, 6250, 42225, 5825, 40800, 6275, 38900, 6925, 35375, 8400, 32375, 10200,
+27575, 11400, 22775, 12600, 19775, 13225, 16775, 13800, 14975, 14400, 13050, 14000, 11975, 12600,
+    0, 0 };
+  std::vector<Point> handpoints;
+  for(unsigned int i = 0; i < 100000; i += 2) {
+    Point pt(handcoords[i], handcoords[i+1]);
+    if(pt == Point(0, 0)) break;
+    handpoints.push_back(pt);
+  }
+  polygon_data<int> handpoly;
+  handpoly.set(handpoints.begin(), handpoints.end());
+  int spiralcoords [] = {
+37200, 3600, 42075, 4025, 47475, 5875, 51000, 7800, 55800, 12300, 59000, 17075, 60000, 20400,
+61200, 25800, 61200, 29400, 60600, 33600, 58800, 38400, 55800, 42600, 53200, 45625,
+49200, 48600, 43200, 51000, 35400, 51600, 29400, 50400, 23400, 47400, 19200, 43800,
+16200, 39600, 14400, 35400, 13200, 29400, 13200, 24000, 15000, 18600, 17400, 13800,
+20525, 10300, 24600, 7200, 29400, 4800, 32450, 4000, 34825, 3675, 35625, 3625,
+35825, 7275, 39600, 7200, 43800, 8400, 46800, 9600, 50400, 12000, 53400, 15000,
+55800, 18600, 57000, 23400, 57600, 27000, 57000, 32400, 55200, 37200, 52200, 41400,
+48000, 45000, 42000, 47400, 35400, 48000, 30000, 46800, 24600, 43800, 20325, 39100,
+17850, 34275, 16800, 27600, 17400, 22200, 20400, 16200, 24600, 11400, 28800, 9000,
+32400, 7800, 33200, 7575, 33925, 11050, 35400, 10800, 37200, 10800, 41400, 11400,
+46200, 13200, 49800, 16200, 51600, 19200, 53400, 23400, 54000, 29400, 52800, 33600,
+49800, 39000, 45000, 42600, 39000, 44400, 33600, 43800, 28200, 42000, 24000, 37800,
+21000, 33000, 20400, 26400, 21600, 21000, 24600, 16200, 28200, 13200, 31875, 11625,
+33200, 15625, 36000, 15000, 39000, 15000, 43800, 16800, 46800, 19200, 49200, 23400,
+49800, 27600, 48750, 32700, 46350, 36275, 42600, 39000, 38400, 40200, 31800, 39000,
+28200, 36600, 25200, 31200, 24600, 26400, 26025, 21800, 28200, 18600, 30600, 16800,
+32575, 19875, 34200, 19200, 36000, 18600, 37200, 18600, 40375, 19125, 43200, 21000,
+45600, 24000, 46200, 27600, 45600, 30600, 43800, 33600, 41475, 35625, 37800, 36600,
+33600, 36000, 30000, 33600, 28200, 28800, 28800, 24600, 30000, 22200, 31200, 23400,
+30600, 25200, 30000, 27000, 30600, 30000, 31800, 32400, 34200, 34200, 38400, 34800,
+41400, 33000, 44025, 30225, 44400, 26400, 43200, 23400, 40900, 21200, 37800, 20400,
+34950, 20675, 32400, 22200, 30175, 19475, 28425, 21300, 27000, 24000, 26400, 27600,
+27000, 31800, 31200, 36600, 36600, 38400, 42600, 37200, 46200, 33600, 48000, 30000,
+47650, 24425, 45600, 20400, 42650, 18200, 39000, 16800, 35400, 16800, 33600, 17400,
+32875, 17675, 31100, 13850, 28200, 15600, 25200, 18600, 22800, 22800, 22200, 27000,
+23400, 33600, 26400, 38400, 31675, 41575, 37800, 42600, 40850, 42150, 42800, 41550,
+47050, 39025, 50100, 35375, 52200, 29400, 51675, 23950, 49800, 19200, 46200, 15600,
+41400, 13200, 37800, 12600, 35025, 12750, 33350, 13050, 32400, 9600, 30025, 10325,
+25925, 12725, 22200, 16800, 19800, 21000, 18600, 25800, 18600, 30000, 20400, 35400,
+22575, 39250, 25225, 41825, 28200, 43800, 33600, 46200, 39000, 46200, 44400, 45000,
+48650, 42350, 52800, 37800, 55200, 32400, 55800, 26400, 54600, 21000, 53400, 18000,
+50400, 14400, 47400, 12000, 42600, 9600, 39000, 9000, 36000, 9000, 34775, 9125,
+34300, 5600, 30000, 6600, 25800, 8400, 22025, 11350, 18725, 15125, 16200, 20400,
+15000, 24600, 15000, 30600, 16800, 36600, 20400, 42600, 25800, 46800, 31200, 49200,
+38400, 49800, 45000, 48600, 51000, 45000, 55475, 40225, 58200, 34800, 59400, 30000,
+59400, 25200, 58200, 19800, 55200, 14400, 52225, 11150, 47400, 7800, 44175, 6500,
+40200, 5400, 38400, 5400, 37200, 5400, 0, 0 };
+  std::vector<Point> spiralpoints;
+  for(unsigned int i = 0; i < 100000; i += 2) {
+    Point pt(spiralcoords[i], spiralcoords[i+1]);
+    if(pt == Point(0, 0)) break;
+    spiralpoints.push_back(pt);
+  }
+  polygon_data<int> spiralpoly;
+  spiralpoly.set(spiralpoints.begin(), spiralpoints.end());
+  polygon_set_data<int> handset;
+  handset += handpoly;
+  polygon_set_data<int> spiralset;
+  spiralset += spiralpoly;
+  polygon_set_data<int> xorset = handset ^ spiralset;
+  std::vector<polygon_data<int> > polys;
+  polys += xorset;
+  std::cout << polys.size() << std::endl;
+  for(unsigned int i = 0; i < polys.size(); ++i)
+    std::cout << polys[i] << std::endl;
+}
+
+//void testHandFloat() {
+//  using namespace gtl;
+//  double handcoords[] = {
+//12375, 11050, 13175, 10200, 15825, 9275, 18750, 8525, 24150, 8300, 27575, 8400, 31775, 7800,
+//35975, 7200, 41375, 4800, 42575, 4200, 43175, 4200, 47375, 2400, 49175, 1800, 51150, 2200,
+//52275, 2825, 52625, 4150, 52375, 4975, 51575, 6000, 49275, 6850, 45700, 7950, 43175, 9600,
+//39575, 10800, 37775, 12000, 37775, 12600, 37775, 13800, 38975, 14400, 41375, 14400, 45575, 13200,
+//48600, 13000, 51575, 13200, 55175, 12600, 58775, 12600, 61175, 13200, 62375, 14400, 62550, 15700,
+//61975, 16875, 60775, 17600, 60100, 17675, 58525, 17675, 56150, 17575, 52175, 18000, 47975, 18600,
+//45575, 19200, 44375, 19200, 42675, 19325, 41600, 19775, 41600, 20500, 42100, 20825, 44975, 20400,
+//48575, 20400, 52775, 21000, 53975, 21000, 57575, 21000, 62375, 21000, 65450, 22000, 66300, 23100,
+//66100, 24550, 64750, 25925, 62975, 26400, 61175, 26400, 58775, 26400, 56025, 26050, 53450, 26025,
+//50975, 26400, 48575, 26400, 46775, 26400, 43650, 26075, 41375, 26400, 40775, 27000, 40775, 27600,
+//42225, 28650, 44375, 29400, 48575, 30000, 50975, 31200, 53975, 31800, 58775, 33000, 61200, 34300,
+//62375, 35400, 62375, 37200, 61175, 38400, 60000, 38700, 57575, 38400, 54550, 37575, 50975, 36600,
+//49075, 36125, 47750, 36125, 45700, 35425, 42350, 34350, 38900, 33775, 30575, 33000, 26975, 33600,
+//25975, 34900, 26375, 36600, 28175, 38400, 30575, 40800, 32375, 43800, 33200, 46200, 33200, 48000,
+//32650, 49300, 31425, 50000, 29950, 50125, 28825, 49375, 27575, 48000, 25825, 46000, 23975, 44100,
+//22175, 42600, 19775, 39600, 17325, 37300, 14975, 34800, 13175, 31800, 10775, 29400, 9600, 27400,
+//10175, 27000, 11375, 27600, 12575, 28800, 14375, 31800, 16175, 34800, 18575, 37200, 21575, 39000,
+//22775, 40200, 23975, 41400, 24575, 42600, 26375, 44400, 28325, 46000, 29850, 46775, 31175, 46200,
+//31550, 44575, 30575, 43200, 28775, 40800, 25775, 38400, 24575, 34800, 24750, 33175, 26975, 31800,
+//29975, 31800, 33575, 31800, 37775, 32400, 39575, 33000, 41975, 33600, 45150, 34175, 46975, 34750,
+//48575, 35400, 50975, 35400, 51575, 34800, 51875, 33725, 50775, 32575, 48575, 31800, 45750, 30875,
+//43775, 30600, 41375, 29400, 38975, 28800, 35975, 28200, 34775, 27600, 34175, 27000, 34775, 25800,
+//37175, 25200, 40175, 25200, 43175, 25200, 46775, 25200, 50975, 25425, 53375, 25200, 55175, 24600,
+//55525, 23450, 53975, 22200, 52775, 22200, 49075, 21850, 45950, 21925, 40775, 21600, 37775, 21600,
+//35150, 21350, 34325, 20950, 34175, 19800, 35975, 19200, 38375, 19200, 40750, 18900, 42575, 18600,
+//44375, 18000, 47975, 17400, 50375, 17125, 52025, 16625, 52775, 15600, 52100, 14625, 49675, 14125,
+//48625, 14125, 46775, 14400, 44375, 15000, 41375, 15150, 37700, 15275, 34775, 15600, 32850, 15925,
+//31775, 15600, 31425, 14875, 32375, 13800, 36575, 11400, 38975, 10200, 41375, 9000, 43075, 8150,
+//43650, 7200, 43325, 6250, 42225, 5825, 40800, 6275, 38900, 6925, 35375, 8400, 32375, 10200,
+//27575, 11400, 22775, 12600, 19775, 13225, 16775, 13800, 14975, 14400, 13050, 14000, 11975, 12600,
+//    0, 0 };
+//  std::vector<point_data<double> > handpoints;
+//  for(unsigned int i = 0; i < 100000; i += 2) {
+//    point_data<double>  pt(handcoords[i], handcoords[i+1]);
+//    if(pt == point_data<double> (0, 0)) break;
+//    handpoints.push_back(pt);
+//  }
+//  polygon_data<double> handpoly;
+//  handpoly.set(handpoints.begin(), handpoints.end());
+//  double spiralcoords [] = {
+//37200, 3600, 42075, 4025, 47475, 5875, 51000, 7800, 55800, 12300, 59000, 17075, 60000, 20400,
+//61200, 25800, 61200, 29400, 60600, 33600, 58800, 38400, 55800, 42600, 53200, 45625,
+//49200, 48600, 43200, 51000, 35400, 51600, 29400, 50400, 23400, 47400, 19200, 43800,
+//16200, 39600, 14400, 35400, 13200, 29400, 13200, 24000, 15000, 18600, 17400, 13800,
+//20525, 10300, 24600, 7200, 29400, 4800, 32450, 4000, 34825, 3675, 35625, 3625,
+//35825, 7275, 39600, 7200, 43800, 8400, 46800, 9600, 50400, 12000, 53400, 15000,
+//55800, 18600, 57000, 23400, 57600, 27000, 57000, 32400, 55200, 37200, 52200, 41400,
+//48000, 45000, 42000, 47400, 35400, 48000, 30000, 46800, 24600, 43800, 20325, 39100,
+//17850, 34275, 16800, 27600, 17400, 22200, 20400, 16200, 24600, 11400, 28800, 9000,
+//32400, 7800, 33200, 7575, 33925, 11050, 35400, 10800, 37200, 10800, 41400, 11400,
+//46200, 13200, 49800, 16200, 51600, 19200, 53400, 23400, 54000, 29400, 52800, 33600,
+//49800, 39000, 45000, 42600, 39000, 44400, 33600, 43800, 28200, 42000, 24000, 37800,
+//21000, 33000, 20400, 26400, 21600, 21000, 24600, 16200, 28200, 13200, 31875, 11625,
+//33200, 15625, 36000, 15000, 39000, 15000, 43800, 16800, 46800, 19200, 49200, 23400,
+//49800, 27600, 48750, 32700, 46350, 36275, 42600, 39000, 38400, 40200, 31800, 39000,
+//28200, 36600, 25200, 31200, 24600, 26400, 26025, 21800, 28200, 18600, 30600, 16800,
+//32575, 19875, 34200, 19200, 36000, 18600, 37200, 18600, 40375, 19125, 43200, 21000,
+//45600, 24000, 46200, 27600, 45600, 30600, 43800, 33600, 41475, 35625, 37800, 36600,
+//33600, 36000, 30000, 33600, 28200, 28800, 28800, 24600, 30000, 22200, 31200, 23400,
+//30600, 25200, 30000, 27000, 30600, 30000, 31800, 32400, 34200, 34200, 38400, 34800,
+//41400, 33000, 44025, 30225, 44400, 26400, 43200, 23400, 40900, 21200, 37800, 20400,
+//34950, 20675, 32400, 22200, 30175, 19475, 28425, 21300, 27000, 24000, 26400, 27600,
+//27000, 31800, 31200, 36600, 36600, 38400, 42600, 37200, 46200, 33600, 48000, 30000,
+//47650, 24425, 45600, 20400, 42650, 18200, 39000, 16800, 35400, 16800, 33600, 17400,
+//32875, 17675, 31100, 13850, 28200, 15600, 25200, 18600, 22800, 22800, 22200, 27000,
+//23400, 33600, 26400, 38400, 31675, 41575, 37800, 42600, 40850, 42150, 42800, 41550,
+//47050, 39025, 50100, 35375, 52200, 29400, 51675, 23950, 49800, 19200, 46200, 15600,
+//41400, 13200, 37800, 12600, 35025, 12750, 33350, 13050, 32400, 9600, 30025, 10325,
+//25925, 12725, 22200, 16800, 19800, 21000, 18600, 25800, 18600, 30000, 20400, 35400,
+//22575, 39250, 25225, 41825, 28200, 43800, 33600, 46200, 39000, 46200, 44400, 45000,
+//48650, 42350, 52800, 37800, 55200, 32400, 55800, 26400, 54600, 21000, 53400, 18000,
+//50400, 14400, 47400, 12000, 42600, 9600, 39000, 9000, 36000, 9000, 34775, 9125,
+//34300, 5600, 30000, 6600, 25800, 8400, 22025, 11350, 18725, 15125, 16200, 20400,
+//15000, 24600, 15000, 30600, 16800, 36600, 20400, 42600, 25800, 46800, 31200, 49200,
+//38400, 49800, 45000, 48600, 51000, 45000, 55475, 40225, 58200, 34800, 59400, 30000,
+//59400, 25200, 58200, 19800, 55200, 14400, 52225, 11150, 47400, 7800, 44175, 6500,
+//40200, 5400, 38400, 5400, 37200, 5400, 0, 0 };
+//  std::vector<point_data<double> > spiralpoints;
+//  for(unsigned int i = 0; i < 100000; i += 2) {
+//    point_data<double>  pt(spiralcoords[i], spiralcoords[i+1]);
+//    if(pt == point_data<double> (0, 0)) break;
+//    spiralpoints.push_back(pt);
+//  }
+//  polygon_data<double> spiralpoly;
+//  spiralpoly.set(spiralpoints.begin(), spiralpoints.end());
+//  polygon_set_data<double> handset;
+//  handset += handpoly;
+//  polygon_set_data<double> spiralset;
+//  spiralset += spiralpoly;
+//  polygon_set_data<double> xorset = handset ^ spiralset;
+//  std::vector<polygon_data<double> > polys;
+//  polys += xorset;
+//  std::cout << polys.size() << std::endl;
+//  for(unsigned int i = 0; i < polys.size(); ++i)
+//    std::cout << polys[i] << std::endl;
+//}
+
+bool testDirectionalSize() {
+  {
+    PolygonSet ps(VERTICAL);
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, -10, 0, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 0, 90, 90) << std::endl;
+    if(rects[0] != Rectangle(0, 0, 90, 90)) return false;
+  }
+  {
+    PolygonSet ps(VERTICAL);
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, 0, 0, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 0, 100, 90) << std::endl;
+    if(rects[0] != Rectangle(0, 0, 100, 90)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, -10, 0, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 0, 90, 100) << std::endl;
+    if(rects[0] != Rectangle(0, 0, 90, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, 0, -10, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 10, 100, 100) << std::endl;
+    if(rects[0] != Rectangle(0, 10, 100, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(-10, 0, 0, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(10, 0, 100, 100) << std::endl;
+    if(rects[0] != Rectangle(10, 0, 100, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(-10, 10, 0, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(10, 0, 110, 100) << std::endl;
+    if(rects[0] != Rectangle(10, 0, 110, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(-10, 10, 10, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(10, -10, 110, 90) << std::endl;
+    if(rects[0] != Rectangle(10, -10, 110, 90)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(10, 10, -10, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(-10, 10, 110, 90) << std::endl;
+    if(rects[0] != Rectangle(-10, 10, 110, 90)) return false;
+  }
+  return true;
+}
+
+bool testMaxCover() {
+  std::vector<Rectangle> rects;
+  rects.push_back(Rectangle(Interval(60, 124), Interval( 1, 3)));
+  rects.push_back(Rectangle(Interval(59, 83), Interval( 9, 28)));
+  rects.push_back(Rectangle(Interval(90, 124), Interval( 3, 29)));
+  rects.push_back(Rectangle(Interval(64, 124), Interval( 29, 35)));
+  rects.push_back(Rectangle(Interval(64, 102), Interval( 35, 49)));
+  rects.push_back(Rectangle(Interval(1, 20), Interval( 44, 60)));
+  rects.push_back(Rectangle(Interval(50, 102), Interval( 49, 71)));
+  rects.push_back(Rectangle(Interval(49, 102), Interval( 71, 72)));
+  rects.push_back(Rectangle(Interval(49, 94), Interval( 72, 75)));
+  rects.push_back(Rectangle(Interval(50, 74), Interval( 75, 81)));
+  rects.push_back(Rectangle(Interval(90, 127), Interval( 75, 81)));
+  rects.push_back(Rectangle(Interval(50, 127), Interval( 81, 82)));
+  rects.push_back(Rectangle(Interval(3, 7), Interval( 60, 88)));
+  rects.push_back(Rectangle(Interval(50, 92), Interval( 82, 94)));
+  rects.push_back(Rectangle(Interval(58, 92), Interval( 94, 111)));
+  std::vector<Rectangle> expected_result;
+  expected_result.push_back(Rectangle(Interval(60, 124), Interval( 1, 3)));
+  expected_result.push_back(Rectangle(Interval(90, 124), Interval( 1, 35)));
+  expected_result.push_back(Rectangle(Interval(90, 102), Interval( 1, 72)));
+  expected_result.push_back(Rectangle(Interval(90, 94 ), Interval(1 ,82)));
+  expected_result.push_back(Rectangle(Interval(90, 92), Interval( 1, 111)));
+  expected_result.push_back(Rectangle(Interval(59, 83 ), Interval(9, 28)));
+  expected_result.push_back(Rectangle(Interval(64, 124), Interval( 29, 35)));
+  expected_result.push_back(Rectangle(Interval(64, 102), Interval( 29, 72)));
+  expected_result.push_back(Rectangle(Interval(64, 94), Interval( 29, 75)));
+  expected_result.push_back(Rectangle(Interval(64, 74), Interval( 29, 111)));
+  expected_result.push_back(Rectangle(Interval(1, 20), Interval( 44, 60)));
+  expected_result.push_back(Rectangle(Interval(3, 7), Interval( 44, 88)));
+  expected_result.push_back(Rectangle(Interval(50, 102 ), Interval(49, 72)));
+  expected_result.push_back(Rectangle(Interval(50, 94), Interval( 49, 75)));
+  expected_result.push_back(Rectangle(Interval(50, 74), Interval( 49, 94)));
+  expected_result.push_back(Rectangle(Interval(58, 74), Interval( 49, 111)));
+  expected_result.push_back(Rectangle(Interval(49, 102 ), Interval(71, 72)));
+  expected_result.push_back(Rectangle(Interval(49, 94 ), Interval(71, 75)));
+  expected_result.push_back(Rectangle(Interval(90, 127), Interval( 75, 82)));
+  expected_result.push_back(Rectangle(Interval(50, 127), Interval( 81, 82)));
+  expected_result.push_back(Rectangle(Interval(50, 92), Interval( 81, 94)));
+  expected_result.push_back(Rectangle(Interval(58, 92), Interval( 81, 111)));
+  std::vector<Rectangle> result;
+  get_max_rectangles(result, rects);
+  std::cout << "result XOR clean: " << equivalence(result, rects) << std::endl;
+  std::cout << "expected result XOR clean: " << equivalence(expected_result, rects) << std::endl;
+  std::vector<Rectangle>& output = result;
+  std::vector<Rectangle>& voutput = expected_result;
+  std::sort(output.begin(), output.end(), less_rectangle_concept< Rectangle, Rectangle>());
+  std::sort(voutput.begin(), voutput.end(), less_rectangle_concept< Rectangle, Rectangle>());
+  if(output != voutput) {
+    std::cerr << "Max Rectangle TEST failed\n";
+    for(unsigned int i = 0; i < output.size(); ++i) {
+      std::cerr << output[i] << std::endl;
+    }
+    std::cerr << "Incorrect result\n";
+    for(unsigned int i = 0; i < voutput.size(); ++i) {
+      std::cerr << voutput[i] << std::endl;
+    }
+    std::cerr << "Max Rectangle TEST failed\n";
+    for(unsigned int i = 0; i < rects.size(); ++i) {
+      std::cout << rects[i] << std::endl;
+    }
+    return false;
+  }
+  return true;
+}
+
+void max_cover_stress_test() {
+  for(unsigned int k = 3; k < 20; k++) {
+    for(unsigned int i = 0; i < k * k; ++i) {
+      std::vector<Rectangle> rects, result;
+      //std::cout << "test " << i << std::endl;
+      for(unsigned int j = 0; j < k; ++j) {
+        int x1 = rand() % 100;
+        int x2 = rand() % 50;
+        int y1 = rand() % 100;
+        int y2 = rand() % 50;
+        rects.push_back(Rectangle(x1, y1, x1+x2, y1+y2));
+        //std::cout << rects.back() << std::endl;
+      }
+      get_max_rectangles(result, rects);
+    }
+  }
+}
+
+// namespace boost { namespace polygon{
+//   template <typename GCT, typename T>
+//   struct view_of {};
+
+//   template <typename T>
+//   struct view_of<polygon_45_concept, T> {
+//     const T* t;
+//     view_of(const T& obj) : t(&obj) {}
+//     typedef typename polygon_traits<T>::coordinate_type coordinate_type;
+//     typedef typename polygon_traits<T>::iterator_type iterator_type;
+//     typedef typename polygon_traits<T>::point_type point_type;
+
+//     /// Get the begin iterator
+//     inline iterator_type begin() const {
+//       return polygon_traits<T>::begin_points(*t);
+//     }
+  
+//     /// Get the end iterator
+//     inline iterator_type end() const {
+//       return polygon_traits<T>::end_points(*t);
+//     }
+  
+//     /// Get the number of sides of the polygon
+//     inline unsigned int size() const {
+//       return polygon_traits<T>::size(*t);
+//     }
+  
+//     /// Get the winding direction of the polygon
+//     inline winding_direction winding() const {
+//       return polygon_traits<T>::winding(*t);
+//     }
+//   };
+  
+//   template <typename T1, typename T2>
+//   view_of<T1, T2> view_as(const T2& obj) { return view_of<T1, T2>(obj); }
+
+//   template <typename T>
+//   struct geometry_concept<view_of<polygon_45_concept, T> > {
+//     typedef polygon_45_concept type;
+//   };
+
+//   template <typename T>
+//   struct view_of<polygon_90_concept, T> {
+//     const T* t;
+//     view_of(const T& obj) : t(&obj) {}
+//     typedef typename polygon_traits<T>::coordinate_type coordinate_type;
+//     typedef typename polygon_traits<T>::iterator_type iterator_type;
+//     typedef typename polygon_traits<T>::point_type point_type;
+//     typedef iterator_points_to_compact<iterator_type, point_type> compact_iterator_type;
+
+//     /// Get the begin iterator
+//     inline compact_iterator_type begin_compact() const {
+//       return compact_iterator_type(polygon_traits<T>::begin_points(*t),
+//                                    polygon_traits<T>::end_points(*t));
+//     }
+  
+//     /// Get the end iterator
+//     inline compact_iterator_type end_compact() const {
+//       return compact_iterator_type(polygon_traits<T>::end_points(*t),
+//                                    polygon_traits<T>::end_points(*t));
+//     }
+  
+//     /// Get the number of sides of the polygon
+//     inline unsigned int size() const {
+//       return polygon_traits<T>::size(*t);
+//     }
+  
+//     /// Get the winding direction of the polygon
+//     inline winding_direction winding() const {
+//       return polygon_traits<T>::winding(*t);
+//     }
+//   };
+
+//   template <typename T>
+//   struct geometry_concept<view_of<polygon_90_concept, T> > {
+//     typedef polygon_90_concept type;
+//   };
+// }}
+using namespace gtl;
+
+//this test fails and I'd like to get it to pass
+bool test_colinear_duplicate_points() {
+  Point pts[6] = { Point(0, 10), Point(0, 0), Point(100, 0), Point(100, 100), Point(0, 100), Point(0, 10)};
+  Polygon45 p1;
+  p1.set(pts, pts+5);
+  Polygon45 pg;
+  pg.set(pts, pts+6);
+  Polygon45 p2;
+  p2.set(pts+1, pts+6);
+  std::cout << p2 << std::endl;
+  if(!equivalence(view_as<polygon_90_concept>(p2), view_as<polygon_90_concept>(pg))) return false;
+  std::cout << p1 << std::endl;
+  if(!equivalence(view_as<polygon_90_concept>(p1), view_as<polygon_90_concept>(pg))) return false;
+  return true;
+}
+
+bool test_extents() {
+  PolygonSet psT(gtl::VERTICAL);
+  //int xy[] = { 126, 69, 54, 69, 54, 81, 126, 81 };    
+  //CPolygonQuery polygon(0, 4, xy);
+  //Rectangle rectIn(54, 69, 126, 81);
+  polygon_data<int> polygon;
+  std::vector<Point> pts;
+  pts.push_back(Point(126, 69));
+  pts.push_back(Point(54, 69));
+  pts.push_back(Point(54, 81));
+  pts.push_back(Point(126, 81));
+  psT.insert(view_as<polygon_90_concept>(polygon));
+  
+  Rectangle rect, rect2;
+  psT.extents(rect2);
+  gtl::extents(rect, psT);
+  
+  if (rect != rect2) {
+    std::cout << "gtl::Rectangles differ: " << gtl::xl(rect)  << " " << gtl::xh(rect)  << " " << gtl::yl(rect)  << " " << gtl::yh(rect)  <<     std::endl;
+        std::cout << "                        " << gtl::xl(rect2) << " " << gtl::xh(rect2) << " " << gtl::yl(rect2) << " " << gtl::yh(rect2) <<     std::endl;
+    return false;
+  }
+  return true;
+}
+
+bool test_extents2() {
+  Polygon45Set psT;
+  Point xy[] = { Point(130, 50),   Point(50, 50),   Point(50, 100),   Point(119, 100),   
+                 Point(119, 59),   Point(89, 89),   Point(59, 59),   Point(119, 59),   Point(119, 100),  Point(130, 100) };
+  Polygon45 polygon(xy, xy+10);
+  
+  psT.insert(polygon);
+  psT += 2;
+  
+  Rectangle rect, rect2;
+  psT.extents(rect2);
+  gtl::extents(rect, psT);    
+  std::cout << "Extents: " << gtl::xl(rect)   << " " << gtl::xh(rect)   << " " << gtl::yl(rect)   << " " << gtl::yh(rect)  <<   std::endl;
+    std::cout << "Extents: " << gtl::xl(rect2)  << " " << gtl::xh(rect2)  << " " << gtl::yl(rect2)  << " " << gtl::yh(rect2) <<   std::endl;
+    std::vector<Polygon45WithHoles> pwhs;
+    psT.get(pwhs);
+    for(unsigned int i = 0; i < pwhs.size(); ++i) {
+      std::cout << pwhs[i] << std::endl;
+    }      
+  return gtl::equivalence(rect, rect2);
+}
+
+int main() {
+  test_view_as();
+  //this test fails and I'd like to get it to pass
+  //if(!test_colinear_duplicate_points()) return 1;
+  if(!test_extents2()) return 1;
+  if(!test_extents()) return 1;
+  if(!testMaxCover()) return 1;
+  //max_cover_stress_test(); //does not include functional testing
+  if(!testDirectionalSize()) return 1;
+  testHand();
+  //testHandFloat();
+  if(!testpip()) return 1;
+  {
+    PolygonSet ps;
+    Polygon p;
+    assign(ps, p);
+  }
+  if(!testViewCopyConstruct()) return 1;
+  if(!test_grow_and_45()) return 1;
+  if(!test_self_xor_45()) return 1;
+  if(!test_self_xor()) return 1;
+  if(!test_directional_resize()) return 1;
+  if(!test_scaling_by_floating()) return 1;
+  if(!test_SQRT1OVER2()) return 1;
+  if(!test_get_trapezoids()) return 1;
+  if(!test_get_rectangles()) return 1;
+  if(!test_45_concept_interact()) return 1;
+  if(!test_45_touch_r()) return 1;
+  if(!test_45_touch_ur()) return 1;
+  if(!test_45_touch()) return 1;
+  if(!test_45_touch_boundaries()) return 1;
+  {
+  Point pts[] = {Point(0,0), Point(5, 5), Point(5, 0)};
+  Polygon45 p45(pts, pts+3);
+  pts[1] = Point(0, 5);
+  Polygon45 p452(pts, pts+3);
+  if(!test_two_polygons(p45,p452)) return 1;
+  pts[2] = Point(5,5);
+  p45.set(pts, pts+3);
+  if(!test_two_polygons(p45,p452)) return 1;
+  pts[0] = Point(5,0);
+  p452.set(pts, pts+3);
+  if(!test_two_polygons(p45, p452)) return 1;
+  Point pts2[] = {Point(0,5), Point(5, 5), Point(5, 0)};
+  Point pts3[] = {Point(0,0), Point(5, 5), Point(5, 0)};
+  p45.set(pts2, pts2 + 3);
+  p452.set(pts3, pts3+3);
+  if(!test_two_polygons(p45, p452)) return 1;
+  Point pts4[] = {Point(0, 5), Point(3, 2), Point(3,5)};
+  Point pts5[] = {Point(0,0), Point(5, 5), Point(5, 0)};
+  p45.set(pts4, pts4+3);
+  p452.set(pts5, pts5+3);
+  if(!test_two_polygons(p45, p452)) return 1;
+  }
+  {
+  std::vector<point_data<int> > pts;
+  pts.push_back(point_data<int>(0, 0));
+  pts.push_back(point_data<int>(10, 0));
+  pts.push_back(point_data<int>(10, 10));
+  pts.push_back(point_data<int>(0, 10));
+  std::vector<point_data<int> > pts2;
+  pts2.push_back(point_data<int>(0, 0));
+  pts2.push_back(point_data<int>(10, 10));
+  pts2.push_back(point_data<int>(0, 20));
+  pts2.push_back(point_data<int>(-10, 10));
+  std::vector<point_data<int> > pts3;
+  pts3.push_back(point_data<int>(0, 0));
+  pts3.push_back(point_data<int>(10, 11));
+  pts3.push_back(point_data<int>(0, 20));
+  pts3.push_back(point_data<int>(-100, 8));
+  polygon_data<int> p, p1; p.set(pts3.begin(), pts3.end());
+  polygon_45_data<int> p45, p451; p45.set(pts2.begin(), pts2.end());
+  polygon_90_data<int> p90, p901; p90.set(pts.begin(), pts.end());
+  polygon_with_holes_data<int> pwh, pwh1; pwh.set(pts3.begin(), pts3.end());
+  polygon_45_with_holes_data<int> p45wh, p45wh1; p45wh.set(pts2.begin(), pts2.end());
+  polygon_90_with_holes_data<int> p90wh, p90wh1; p90wh.set(pts.begin(), pts.end());
+  assign(p, p90);
+  assign(p, p45);
+  assign(p1, p);
+  //illegal: assign(p, p90wh);
+  //illegal: assign(p, p45wh);
+  //illegal: assign(p, pwh);
+
+  assign(p45, p90);
+  assign(p451, p45);
+  //illegal: assign(p45, p);
+  //illegal: assign(p45, p90wh);
+  //illegal: assign(p45, p45wh);
+  //illegal: assign(p45, pwh);
+
+  assign(p901, p90);
+  //illegal: assign(p90, p45);
+  //illegal: assign(p90, p);
+  //illegal: assign(p90, p90wh);
+  //illegal: assign(p90, p45wh);
+  //illegal: assign(p90, pwh);
+
+  assign(pwh, p90);
+  assign(pwh, p45);
+  assign(pwh, p);
+  assign(pwh, p90wh);
+  assign(pwh, p45wh);
+  assign(pwh1, pwh);
+
+  assign(p45wh, p90);
+  assign(p45wh, p45);
+  //illegal: assign(p45wh, p);
+  assign(p45wh, p90wh);
+  assign(p45wh1, p45wh);
+  //illegal: assign(p45wh, pwh);
+
+  assign(p90wh, p90);
+  //illegal: assign(p90wh, p45);
+  //illegal: assign(p90wh, p);
+  assign(p90wh1, p90wh);
+  //illegal: assign(p90wh, p45wh);
+  //illegal: assign(p90wh, pwh);
+  pts.clear();
+  pts.push_back(point_data<int>(0, 0));
+  pts.push_back(point_data<int>(3, 0));
+  pts.push_back(point_data<int>(0, 1));
+  p.set(pts.begin(), pts.end());
+  std::cout << std::endl; std::cout << (area(p90));
+  std::cout << std::endl; std::cout << (area(p45));
+  std::cout << std::endl; std::cout << (area(p));
+  std::cout << std::endl; std::cout << (area(p90wh));
+  std::cout << std::endl; std::cout << (area(p45wh));
+  std::cout << std::endl; std::cout << (area(pwh));
+  std::cout << std::endl;
+  point_data<int> pt(1, 1);
+  std::cout << contains(p, pt) << std::endl;
+  std::cout << contains(p90, pt) << std::endl;
+  
+  interval_data<int> ivl = construct<interval_data<int> >(0, 10);
+  std::cout << get(ivl, LOW) << std::endl;
+  set(ivl, HIGH, 20);
+
+  std::cout << perimeter(p) << std::endl;
+  if(winding(p) == LOW) std::cout << "LOW" << std::endl;
+  if(winding(p) == HIGH) std::cout << "HIGH" << std::endl;
+  rectangle_data<polygon_long_long_type> rd;
+  std::cout << extents(rd, p) << std::endl;
+  std::cout << rd << std::endl;
+
+  boolean_op::testBooleanOr<int>();
+
+  std::vector<rectangle_data<int> > rects1, rects2;
+  rects2.push_back(rectangle_data<int>(0, 0, 10, 10));
+  print_is_polygon_90_set_concept((polygon_90_set_data<int>()));
+  print_is_mutable_polygon_90_set_concept((polygon_90_set_data<int>()));
+  print_is_polygon_90_set_concept((polygon_90_data<int>()));
+  print_is_polygon_90_set_concept((std::vector<polygon_90_data<int> >()));
+  assign(rects1, rects2);
+  polygon_90_set_data<int> ps90;
+  assign(ps90, rects2);
+  assign(rects2, ps90);
+  assign(ps90, p90);
+  assign(rects2, p90);
+  std::cout << p90 << std::endl;
+  for(unsigned int i = 0; i < rects2.size(); ++i) {
+    std::cout << rects2[i] << std::endl;
+  }
+  bloat(rects2, 10);
+  shrink(rects2[0], 10);
+  for(unsigned int i = 0; i < rects2.size(); ++i) {
+    std::cout << rects2[i] << std::endl;
+  }
+  move(rects2[0], HORIZONTAL, 30);
+  assign(rects1, rects2 + p90);
+  std::cout << "result of boolean or\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 -= p90;
+  std::cout << "result of boolean not\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 += p90;
+  std::cout << "result of boolean OR\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 *= p90;
+  std::cout << "result of boolean AND\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 ^= rects2;
+  std::cout << "result of boolean XOR\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects2.clear();
+  get_max_rectangles(rects2, p90);
+  std::cout << "result of max rectangles\n";
+  for(unsigned int i = 0; i < rects2.size(); ++i) {
+    std::cout << rects2[i] << std::endl;
+  }
+  rects2.clear();
+  //operator += and -= don't support polygons, so + and - should not exist
+//   rects2 += p90 + 6;
+//   std::cout << "result of resize\n";
+//   for(unsigned int i = 0; i < rects2.size(); ++i) {
+//     std::cout << rects2[i] << std::endl;
+//   }
+//   std::cout << "result of resize\n";
+   std::vector<polygon_90_with_holes_data<int> > polyswh1, polyswh2;
+//   polyswh1 += p90 -2;
+//   for(unsigned int i = 0; i < polyswh1.size(); ++i) {
+//     std::cout << polyswh1[i] << std::endl;
+//   }
+//   std::cout << "result of resize\n";
+   std::vector<polygon_90_data<int> > polys1, polys2;
+   polys1 += p90;
+   polys1 -= 2;
+//   polys1 += p90 -2;
+   for(unsigned int i = 0; i < polys1.size(); ++i) {
+     std::cout << polys1[i] << std::endl;
+   }
+
+   boolean_op_45<int>::testScan45(std::cout);
+   polygon_45_formation<int>::testPolygon45Formation(std::cout);
+  polygon_45_formation<int>::testPolygon45Tiling(std::cout);
+
+  axis_transformation atr;
+  transform(p, atr);
+  transform(p45, atr);
+  transform(p90, atr);
+  transform(pwh, atr);
+  transform(p45wh, atr);
+  transform(p90wh, atr);
+  scale_up(p, 2);
+  scale_up(p45, 2);
+  scale_up(p90, 2);
+  scale_up(pwh, 2);
+  scale_up(p45wh, 2);
+  scale_up(p90wh, 2);
+  scale_down(p, 2);
+  scale_down(p45, 2);
+  scale_down(p90, 2);
+  scale_down(pwh, 2);
+  scale_down(p45wh, 2);
+  scale_down(p90wh, 2);
+  std::vector<polygon_45_data<int> > p45s1, p45s2;
+  std::cout << equivalence(p45s1, p45s2) << std::endl;
+  std::cout << equivalence(p45, p45wh) << std::endl;
+  std::cout << equivalence(p90, p45wh) << std::endl;
+  gtl::assign(p45s1, p90);
+  p90 = polys1[0];
+  move(p90, orientation_2d(HORIZONTAL), 8);
+  std::cout << p90 << std::endl << p45wh << std::endl;
+  polygon_45_set_data<int> ps45 = p90 + p45wh;
+  assign(p45s1, ps45);
+  std::cout << "result\n";
+  for(unsigned int i = 0; i < p45s1.size(); ++i) {
+    std::cout << p45s1[i] << std::endl;
+  }
+  std::cout << equivalence(p, pwh) << std::endl;
+  std::cout << equivalence(p90, pwh) << std::endl;
+  std::cout << equivalence(p45, pwh) << std::endl;
+  std::cout << equivalence(pwh, pwh) << std::endl;
+  p + pwh;
+  p90 + pwh;
+  p45 + pwh;
+  std::cout << testInterval() << std::endl;
+  std::cout << testRectangle() << std::endl;
+  std::cout << testPolygon() << std::endl;
+  std::cout << testPropertyMerge() << std::endl;
+  std::cout << testPolygonAssign() << std::endl;
+  std::cout << testPolygonWithHoles() << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationRect(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationP1(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationP2(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationPolys(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch1(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch2(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch3(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testSegmentIntersection(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_insertion(std::cout)) << std::endl;
+  std::cout << (line_intersection<int>::test_verify_scan(std::cout)) << std::endl;
+  std::cout << (line_intersection<int>::test_validate_scan(std::cout)) << std::endl;
+  std::cout << (scanline<int, int>::test_scanline(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_merge(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_intersection(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationColinear(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_manhattan_intersection(std::cout)) << std::endl;
+  std::cout << (test_arbitrary_boolean_op<int>(std::cout)) << std::endl;
+  }
+  {
+    polygon_set_data<int> psd;
+    rectangle_data<int> rect;
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    psd.insert(rect);
+    polygon_set_data<int> psd2;
+    set_points(rect, point_data<int>(5, 5), point_data<int>(15, 15));
+    psd2.insert(rect);
+    std::vector<polygon_data<int> > pv;
+    polygon_set_data<int> psd3;
+    psd3 = psd + psd2;
+    psd3.get(pv);
+    for(unsigned int i = 0; i < pv.size(); ++i) {
+      std::cout << pv[i] << std::endl;
+    }
+    psd += psd2;
+    pv.clear();
+    psd3.get(pv);
+    for(unsigned int i = 0; i < pv.size(); ++i) {
+      std::cout << pv[i] << std::endl;
+    }
+  }
+  {
+    polygon_90_set_data<int> psd;
+    rectangle_data<int> rect;
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    psd.insert(rect);
+    polygon_90_set_data<int> psd2;
+    set_points(rect, point_data<int>(5, 5), point_data<int>(15, 15));
+    psd2.insert(rect);
+    std::vector<polygon_90_data<int> > pv;
+    interact(psd, psd2);
+    assign(pv, psd);
+    for(unsigned int i = 0; i < pv.size(); ++i) {
+      std::cout << pv[i] << std::endl;
+    }
+
+    connectivity_extraction_90<int> ce;
+    ce.insert(pv[0]);
+    ce.insert(psd2);
+    std::vector<std::set<int> > graph(2);
+    ce.extract(graph);
+    if(graph[0].size() == 1) std::cout << "connectivity extraction is alive\n";
+
+    //std::vector<rectangle_data<polygon_long_long_type> > lobs;
+    //get_max_rectangles(lobs, psd);
+    //if(lobs.size() == 1) std::cout << "max rectangles is alive\n";
+
+    std::vector<rectangle_data<int> > rv;
+    rv.push_back(rect);
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    rv.push_back(rect);
+    self_intersect(rv);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+
+    assign(rv, rv + 1);
+    std::cout << rv.size() << std::endl;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    assign(rv, rv - 1);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    rv += 1;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    rv -= 1;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    rv.clear();
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    rv.push_back(rect);
+    set_points(rect, point_data<int>(12, 12), point_data<int>(20, 20));
+    rv.push_back(rect);
+    grow_and(rv, 7);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    std::cout << area(rv) << std::endl;
+    std::cout << area(rv) << std::endl;
+    
+    scale_up(rv, 10);
+    std::cout << area(rv) << std::endl;
+    scale_down(rv, 7);
+    std::cout << area(rv) << std::endl;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    keep(rv, 290, 300, 7, 24, 7, 24);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    keep(rv, 300, 310, 7, 24, 7, 24);
+    if(rv.empty()) std::cout << "keep is alive\n";
+  }
+  {
+//     typedef int Unit;
+//     typedef point_data<int> Point;
+//     typedef interval_data<int> Interval;
+//     typedef rectangle_data<int> Rectangle;
+//     typedef polygon_90_data<int> Polygon;
+//     typedef polygon_90_with_holes_data<int> PolygonWithHoles;
+//     typedef polygon_45_data<int> Polygon45;
+//     typedef polygon_45_with_holes_data<int> Polygon45WithHoles;
+//     typedef polygon_90_set_data<int> PolygonSet;
+//     //typedef polygon_45_set_data<int> Polygon45Set;
+//     typedef axis_transformation AxisTransform;
+//     typedef transformation<int> Transform;
+    //test polygon45 area, polygon45 with holes area
+    std::vector<Point> pts;
+    pts.clear();
+    pts.push_back(Point(10, 10));
+    pts.push_back(Point(15, 10));
+    pts.push_back(Point(10, 15));
+    Polygon45 polyHole;
+    polyHole.set(pts.begin(), pts.end());
+    pts.clear();
+    pts.push_back(Point(10, 0));
+    pts.push_back(Point(20, 10));
+    pts.push_back(Point(20, 30));
+    pts.push_back(Point(0, 50));
+    pts.push_back(Point(0, 10));
+    Polygon45WithHoles polyWHoles;
+    polyWHoles.set(pts.begin(), pts.end());
+    polyWHoles.set_holes(&polyHole, (&polyHole)+1);
+     std::cout << polyWHoles << std::endl;
+    std::cout << area(polyWHoles) << std::endl;
+    std::cout << area(polyWHoles) << std::endl;
+     //test polygon45, polygon45with holes transform
+     AxisTransform atr(AxisTransform::EAST_SOUTH);
+     Polygon45WithHoles p45wh(polyWHoles);
+     transform(polyWHoles, atr);
+     std::cout << polyWHoles << std::endl;
+     Transform tr(atr);
+     tr.invert();
+     transform(polyWHoles, tr);
+     std::cout << polyWHoles << std::endl;
+     if(area(polyWHoles) != 687.5) return 1;
+     //test polygon, polygon with holes transform
+     Polygon ph;
+     assign(ph, Rectangle(10, 10, 20, 20));
+     PolygonWithHoles pwh;
+     assign(pwh, Rectangle(0, 0, 100, 100));
+     pwh.set_holes(&ph, (&ph)+1);
+     std::cout << area(pwh) << std::endl;
+     transform(pwh, atr);
+     std::cout << pwh << std::endl;
+     std::cout << area(pwh) << std::endl;
+     transform(pwh, tr);
+     std::cout << pwh << std::endl;
+     std::cout << area(pwh) << std::endl;
+     if(area(pwh) != 9900) return 1;
+     
+    //test point scale up / down
+    Point pt(10, 10);
+    scale_up(pt, 25);
+    if(pt != Point(250, 250)) return 1;
+    std::cout << pt << std::endl;
+    scale_down(pt, 25);
+    if(pt != Point(10, 10)) return 1;
+    std::cout << pt << std::endl;
+    scale_down(pt, 25);
+    if(pt != Point(0, 0)) return 1;
+    std::cout << pt << std::endl;
+
+    //test polygon, polygon with holes scale up down
+    PolygonWithHoles tmpPwh(pwh);
+    scale_up(pwh, 25);
+    std::cout << pwh << std::endl;
+    scale_down(pwh, 25);
+    if(area(pwh) != area(tmpPwh)) return 1;
+    std::cout << pwh << std::endl;
+    scale_down(pwh, 25);
+    std::cout << pwh << std::endl;
+    //test polygon45, polygon45 with holes is45
+    std::cout << is_45(polyHole) << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    pts.clear();
+    pts.push_back(Point(10, 10));
+    pts.push_back(Point(15, 10));
+    pts.push_back(Point(10, 16));
+    polyHole.set(pts.begin(), pts.end());
+    std::cout << is_45(polyHole) << std::endl;
+    if(is_45(polyHole) != false) return 1;
+    //test polygon45, polygon45 with holes snap 45
+    snap_to_45(polyHole);
+    std::cout << is_45(polyHole) << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    std::cout << polyHole << std::endl;
+    //test polygon45, polygon45 with holes scalue up down
+    scale_up(polyHole, 10000);
+    std::cout << polyHole << std::endl;
+    scale_down(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 5);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 7);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 13);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_up(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    pts.clear();
+    pts.push_back(Point(11, 1));
+    pts.push_back(Point(21, 11));
+    pts.push_back(Point(11, 21));
+    pts.push_back(Point(1, 11));
+    polyHole.set(pts.begin(), pts.end());
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_up(polyHole, 10000);
+    std::cout << polyHole << std::endl;
+    scale_down(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 5);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 7);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 13);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_up(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_up(polyWHoles, 100013);
+    std::cout << polyWHoles << std::endl;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+
+    std::cout << (boolean_op_45<Unit>::testScan45(std::cout)) << std::endl;
+    std::cout << (polygon_45_formation<Unit>::testPolygon45Formation(std::cout)) << std::endl;
+    std::cout << (polygon_45_formation<Unit>::testPolygon45Tiling(std::cout)) << std::endl;
+
+
+    {
+      PolygonSet ps;
+      Rectangle rect;
+      ps.insert(Rectangle(0, 0, 10, 10));
+      std::cout << area(ps) << std::endl;
+      if(area(ps) != 100) return 1;
+      scale_up(ps, 3);
+      std::cout << area(ps) << std::endl;
+      if(area(ps) != 900) return 1;
+      scale_down(ps, 2);
+      std::cout << area(ps) << std::endl;
+      if(area(ps) != 225) return 1;
+      transform(ps, atr);
+      std::vector<Rectangle> rv;
+      rv.clear();
+      ps.get(rv);
+      if(rv.size() == 1) {
+        assign(rect, rv.back());
+        std::cout << rect << std::endl;
+      }
+      transform(ps, tr);
+      rv.clear();
+      ps.get(rv);
+      if(rv.size() == 1) {
+        assign(rect, rv.back());
+        std::cout << rect << std::endl;
+      }
+    }
+    //test polygon45set transform
+    pts.clear();
+    pts.push_back(Point(10, 10));
+    pts.push_back(Point(15, 10));
+    pts.push_back(Point(10, 15));
+    polyHole.set(pts.begin(), pts.end());
+    Polygon45Set ps451, ps452;
+    ps451.insert(polyHole);
+    ps452 = ps451;
+    std::cout << (ps451 == ps452) << std::endl;
+    if(ps451 != ps452) return 1;
+    ps451.transform(atr);
+    std::cout << (ps451 == ps452) << std::endl;
+    if(ps451 == ps452) return 1;
+    ps451.transform(tr);
+    std::cout << (ps451 == ps452) << std::endl;
+    if(ps451 != ps452) return 1;
+  
+    //test polygon45set area
+    std::cout << area(ps451) << std::endl;
+    if(area(ps451) != 12.5) return 1;
+    //test polygon45set scale up down
+    ps451.scale_up(3);
+    std::cout << area(ps451) << std::endl;
+    if(area(ps451) != 112.5) return 1;
+    ps451.scale_down(2);
+    std::cout << area(ps451) << std::endl;
+    if(area(ps451) != 32) return 1;
+    //test polygonset scalue up down
+  }
+  {
+    std::cout << (testPolygon45SetRect()) << std::endl;
+    testPolygon45SetPerterbation(); //re-enable after non-intersection fix
+    testPolygon45Set();
+    testPolygon45SetDORA();  //re-enable after non-intersection fix
+    polygon_45_set_data<int> ps45_1, ps45_2, ps45_3;
+    ps45_1.insert(rectangle_data<int>(0, 0, 10, 10));
+    ps45_2.insert(rectangle_data<int>(5, 5, 15, 15));
+    std::vector<polygon_45_data<int> > p45s;
+    ps45_3 = ps45_1 | ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 + ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 * ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 - ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 ^ ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size() == 2) std::cout << p45s[0] << " " << p45s[1] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    std::vector<point_data<int> > pts;
+    pts.clear();
+    pts.push_back(point_data<int>(7, 0));
+    pts.push_back(point_data<int>(20, 13));
+    pts.push_back(point_data<int>(0, 13));
+    pts.push_back(point_data<int>(0, 0));
+    polygon_45_data<int> p45_1(pts.begin(), pts.end());
+    ps45_3.clear();
+    ps45_3.insert(p45_1);
+    p45s.clear();
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    ps45_3 += 1;
+    p45s.clear();
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    ps45_3 -= 1;
+    p45s.clear();
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+  }
+  {
+    polygon_90_set_data<int> p90sd;
+    p90sd.insert(rectangle_data<int>(0, 0, 10, 10));
+    std::vector<rectangle_data<int> > rects;
+    std::vector<polygon_90_data<int> > polys90;
+    std::vector<polygon_90_with_holes_data<int> > pwhs90;
+    assign(rects, p90sd);
+    assign(polys90, p90sd);
+    assign(pwhs90, p90sd);
+    std::cout << equivalence(rects, polys90) << std::endl;
+    std::cout << equivalence(pwhs90, polys90) << std::endl;
+    pwhs90.clear();
+    assign(pwhs90, polys90);
+    std::cout << equivalence(pwhs90, polys90) << std::endl;
+  }
+  {
+    polygon_45_set_data<int> p45sd;
+    p45sd.insert(rectangle_data<int>(0, 0, 10, 10));
+    std::vector<rectangle_data<int> > rects;
+    std::vector<polygon_45_data<int> > polys45;
+    std::vector<polygon_45_with_holes_data<int> > pwhs45;
+    get_trapezoids(polys45, p45sd);
+    assign(polys45, p45sd);
+    assign(pwhs45, p45sd);
+    std::cout << equivalence(pwhs45, polys45) << std::endl;
+    pwhs45.clear();
+    assign(pwhs45, polys45);
+    std::cout << equivalence(pwhs45, polys45) << std::endl;
+  }
+  {
+    polygon_set_data<int> psd;
+    psd.insert(rectangle_data<int>(0, 0, 10, 10));
+    std::vector<polygon_data<int> > polys;
+    std::vector<polygon_with_holes_data<int> > pwhs;
+    assign(polys, psd);
+    assign(pwhs, psd);
+    std::cout << equivalence(pwhs, polys) << std::endl;
+    pwhs.clear();
+    assign(pwhs, polys);
+    std::cout << equivalence(pwhs, polys) << std::endl;
+  }
+  {
+    typedef point_3d_data<int> Point3D;
+    Point3D p3d1(0, 1, 3), p3d2(0, 1, 2);
+    if(equivalence(p3d1, p3d2)) return 1;
+    if(euclidean_distance(p3d1, p3d2) != 1) return 1;
+    if(euclidean_distance(p3d1, p3d2, PROXIMAL) != 1) return 1;
+    if(manhattan_distance(p3d1, p3d2) != 1) return 1;
+    assign(p3d1, p3d2);
+    if(!equivalence(p3d1, p3d2)) return 1;
+    p3d1 = construct<Point3D>(x(p3d1), y(p3d1), z(p3d1));
+    if(!equivalence(p3d1, p3d2)) return 1;
+    convolve(p3d1, p3d2);
+    if(equivalence(p3d1, p3d2)) return 1;
+    deconvolve(p3d1, p3d2);
+    if(!equivalence(p3d1, p3d2)) return 1;
+    if(get(p3d1, PROXIMAL) != 2) return 1;
+    scale(p3d1, anisotropic_scale_factor<double>(2, 2, 2));
+    if(equivalence(p3d1, p3d2)) return 1;
+    scale_down(p3d1, 2);
+    if(!equivalence(p3d1, p3d2)) return 1;
+    scale_up(p3d1, 2);
+    if(equivalence(p3d1, p3d2)) return 1;
+    scale_down(p3d1, 2);
+    set(p3d1, PROXIMAL, 3);
+    if(equivalence(p3d1, p3d2)) return 1;
+    axis_transformation atr = axis_transformation::END;
+    transform(p3d1, atr);
+    if(z(p3d1) != -3) return 1;
+    z(p3d1, 2);
+    if(!equivalence(p3d1, p3d2)) return 1;
+  }
+  {
+    polygon_90_set_data<int> ps1(HORIZONTAL), ps2(VERTICAL);
+    ps1 += rectangle_data<int>(0, 0, 10, 120);
+    assign(ps1, ps2);
+    std::cout << equivalence(ps1, ps2) << std::endl;
+  }
+  {
+    std::vector<rectangle_data<polygon_long_long_type> > lobs, input;
+    input.push_back(rectangle_data<polygon_long_long_type>(0, 0, 10, 10));
+    input.push_back(rectangle_data<polygon_long_long_type>(10, 5, 15, 15));
+    get_max_rectangles(lobs, input);
+    if(lobs.size() == 3) std::cout << "max rectangles is correct\n";
+  }
+  {
+    polygon_set_data<int> ps1, ps2, ps3;
+    ps1.insert(rectangle_data<int>(0, 0, 10, 10));
+    ps2.insert(rectangle_data<int>(0, 0, 15, 5));
+    ps3.insert(rectangle_data<int>(0, 0, 20, 2));
+    std::cout << area(ps1 + ps2) << std::endl;
+    keep(ps1, 0, 100, 0, 100, 0, 100);
+    if(empty(ps1)) return 1;
+    rectangle_data<int> bbox;
+    extents(bbox, ps1);
+    std::cout << bbox << std::endl;
+    //resize(ps1, 1);
+    //shrink(ps1, 1);
+    //bloat(ps1, 1);
+    scale_up(ps1, 2);
+    scale_down(ps1, 2);
+    axis_transformation atr;
+    transform(ps1, atr);
+    std::cout << area(ps1) << std::endl;
+    if(area(ps1) != 100) return 1;
+    clear(ps1);
+    if(!empty(ps1)) return 1;
+    ps1 = ps2 * ps3;
+    ps1 *= ps2;
+    ps1 - ps2;
+    ps1 -= ps2;
+    ps1 ^ ps2;
+    ps1 ^= ps2;
+    ps1 | ps2;
+    ps1 |= ps2;
+  }
+  {
+    polygon_45_set_data<int> ps45_1, ps45_2;
+    ps45_1.insert(rectangle_data<int>(0, 0, 10, 10));
+    keep(ps45_1, 0, 1000, 0, 1000, 0, 1000);
+    std::cout << area(ps45_1) << std::endl;
+    std::cout << empty(ps45_1) << std::endl;
+    rectangle_data<int> bbox;
+    extents(bbox, ps45_1);
+    std::cout << bbox << std::endl;
+    resize(ps45_1, 1);
+    shrink(ps45_1, 1);
+    bloat(ps45_1, 1);
+    scale_up(ps45_1, 2);
+    scale_down(ps45_1, 2);
+    axis_transformation atr;
+    transform(ps45_1, atr);
+    std::cout << area(ps45_1) << std::endl;
+    if(area(ps45_1) != 144) return 1;
+    clear(ps45_1);
+    if(!empty(ps45_1)) return 1;
+  }
+  {
+    std::vector<polygon_45_data<int> > p45v;
+    p45v + p45v;
+    p45v *= p45v;
+    p45v += p45v;
+    p45v - p45v;
+    p45v -= p45v;
+    p45v ^ p45v;
+    p45v ^= p45v;
+    p45v | p45v;
+    p45v |= p45v;
+    p45v + 1;
+    p45v += 1;
+    p45v - 1;
+    p45v -= 1;
+    p45v + (p45v + p45v);
+  }
+  {
+    polygon_45_set_data<int> ps45;
+    polygon_90_set_data<int> ps90;
+    std::vector<polygon_90_with_holes_data<int> > p90whv;
+    ps45.insert(ps90);
+    ps45.insert(p90whv);
+    ps45.insert(p90whv + p90whv);
+    
+    ps45.insert(polygon_90_with_holes_data<int>());
+    polygon_with_holes_data<int> pwh;
+    snap_to_45(pwh);
+  }
+  {
+    point_data<int> pt(1,2);
+    point_3d_data<int> pt3d(1,2,3);
+    equivalence(pt, pt3d);
+    deconvolve(pt, pt3d);
+    manhattan_distance(pt, pt3d);
+    move(pt, HORIZONTAL, 1);
+    scale(pt, anisotropic_scale_factor<double>(2, 2, 2));
+    pt = pt3d;
+  }
+  {
+    polygon_90_set_data<int> ps90_1, ps90_2;
+    ps90_1.insert(rectangle_data<int>(0, 0, 10, 10));
+    keep(ps90_1, 0, 1000, 0, 1000, 0, 1000);
+    std::cout << area(ps90_1) << std::endl;
+    std::cout << empty(ps90_1) << std::endl;
+    rectangle_data<int> bbox;
+    extents(bbox, ps90_1);
+    std::cout << bbox << std::endl;
+    resize(ps90_1, 1);
+    shrink(ps90_1, 1);
+    bloat(ps90_1, 1);
+    scale_up(ps90_1, 2);
+    scale_down(ps90_1, 2);
+    scale(ps90_1, anisotropic_scale_factor<double>(2, 2, 2));
+    scale(ps90_1, anisotropic_scale_factor<double>(0.5, 0.5, 0.5));
+    axis_transformation atr;
+    transform(ps90_1, atr);
+    std::cout << area(ps90_1) << std::endl;
+    if(area(ps90_1) != 144) return 1;
+    clear(ps90_1);
+    if(!empty(ps90_1)) return 1;
+  }
+  if(!nonInteger45StessTest()) return 1;
+  {
+  using namespace gtl;
+  typedef polygon_45_property_merge<int, int> p45pm;
+  p45pm::MergeSetData msd;
+  polygon_45_set_data<int> ps;
+  ps += rectangle_data<int>(0, 0, 10, 10);
+  p45pm::populateMergeSetData(msd, ps.begin(), ps.end(), 444);
+  ps.clear();
+  ps += rectangle_data<int>(5, 5, 15, 15);
+  p45pm::populateMergeSetData(msd, ps.begin(), ps.end(), 333);
+  std::map<std::set<int>, polygon_45_set_data<int> > result;
+  p45pm::performMerge(result, msd);
+  int i = 0;
+  for(std::map<std::set<int>, polygon_45_set_data<int> >::iterator itr = result.begin();
+      itr != result.end(); ++itr) {
+    for(std::set<int>::const_iterator itr2 = (*itr).first.begin();
+        itr2 != (*itr).first.end(); ++itr2) {
+      std::cout << *itr2 << " ";
+    } std::cout << " : ";
+    std::cout << area((*itr).second) << std::endl;
+    if(i == 1) {
+      if(area((*itr).second) != 100) return 1;
+    } else
+      if(area((*itr).second) != 300) return 1;
+    ++i;
+  }
+
+
+  property_merge_45<int, int> pm;
+  pm.insert(rectangle_data<int>(0, 0, 10, 10), 444);
+  pm.insert(rectangle_data<int>(5, 5, 15, 15), 333);
+  std::map<std::set<int>, polygon_45_set_data<int> > mp;
+  pm.merge(mp);
+  i = 0;
+  for(std::map<std::set<int>, polygon_45_set_data<int> >::iterator itr = mp.begin();
+      itr != mp.end(); ++itr) {
+    for(std::set<int>::const_iterator itr2 = (*itr).first.begin();
+        itr2 != (*itr).first.end(); ++itr2) {
+      std::cout << *itr2 << " ";
+    } std::cout << " : ";
+    std::cout << area((*itr).second) << std::endl;
+    if(i == 1) {
+      if(area((*itr).second) != 25) return 1;
+    } else
+      if(area((*itr).second) != 75) return 1;
+    ++i;
+  }
+  std::map<std::vector<int>, polygon_45_set_data<int> > mp2;
+  pm.merge(mp2);
+  i = 0;
+  for(std::map<std::vector<int>, polygon_45_set_data<int> >::iterator itr = mp2.begin();
+      itr != mp2.end(); ++itr) {
+    for(std::vector<int>::const_iterator itr2 = (*itr).first.begin();
+        itr2 != (*itr).first.end(); ++itr2) {
+      std::cout << *itr2 << " ";
+    } std::cout << " : ";
+    std::cout << area((*itr).second) << std::endl;
+    if(i == 1) {
+      if(area((*itr).second) != 25) return 1;
+    } else
+      if(area((*itr).second) != 75) return 1;
+    ++i;
+  }
+  }
+  {
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationRect(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationP1(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationP2(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationPolys(std::cout) << std::endl;
+  std::cout << polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch1(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationSelfTouch1(std::cout) << std::endl;
+  typedef rectangle_data<int> Rectangle;
+  polygon_set_data<int> ps;
+  ps += Rectangle(0, 1, 10, 11);
+  ps += Rectangle(5, 6, 15, 16);
+  std::vector<polygon_data<int> > polys;
+  ps.get_trapezoids(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  ps.transform(axis_transformation(axis_transformation::FLIP_X));
+  polys.clear();
+  ps.get_trapezoids(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  polys.clear();
+  ps.get_trapezoids(polys, HORIZONTAL);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  }
+
+  if(!test_aa_touch()) {
+    std::cout << "test_aa_touch failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_ur()) {
+    std::cout << "test_aa_touch_ur failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_ur()) {
+    std::cout << "test_aa_touch_ur failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_r()) {
+    std::cout << "test_aa_touch_r failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_boundaries()) {
+    std::cout << "test_aa_touch_boundaries failed\n";
+    return 1;
+  }
+  if(!test_aa_concept_interact()) {
+    std::cout << "test_aa_concept_interact failed\n";
+    return 1;
+  }
+
+  std::cout << "ALL TESTS COMPLETE\n";
+  return 0;
+}