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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd">
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<title>Castle Game Engine: CastleSpaceFillingCurves</title>
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<h2>Castle Game Engine</h2><p><a href="introduction.html" class="navigation">Introduction</a></p><p><a href="AllUnits.html" class="navigation">Units</a></p><p><a href="ClassHierarchy.html" class="navigation">Class Hierarchy</a></p><p><a href="AllClasses.html" class="navigation">Classes, Interfaces, Objects and Records</a></p><p><a href="AllTypes.html" class="navigation">Types</a></p><p><a href="AllVariables.html" class="navigation">Variables</a></p><p><a href="AllConstants.html" class="navigation">Constants</a></p><p><a href="AllFunctions.html" class="navigation">Functions and Procedures</a></p><p><a href="AllIdentifiers.html" class="navigation">Identifiers</a></p></td><td class="content">
<h1 class="unit">Unit CastleSpaceFillingCurves</h1>
<table class="sections wide_list">
<tr>
<td><a class="section" href="#PasDoc-Description">Description</a></td><td><a class="section" href="#PasDoc-Uses">Uses</a></td><td><a class="section" href="#PasDoc-Classes">Classes, Interfaces, Objects and Records</a></td><td><a class="section" href="#PasDoc-FuncsProcs">Functions and Procedures</a></td><td><a class="section" href="#PasDoc-Types">Types</a></td><td><a class="section" href="#PasDoc-Constants">Constants</a></td><td>Variables</td></tr></table>
<a name="PasDoc-Description"></a><h2 class="description">Description</h2>
<p>
Generate space-filling curves (<a class="normal" href="CastleSpaceFillingCurves.TSwapScanCurve.html">TSwapScanCurve</a>, <a class="normal" href="CastleSpaceFillingCurves.THilbertCurve.html">THilbertCurve</a>, <a class="normal" href="CastleSpaceFillingCurves.TPeanoCurve.html">TPeanoCurve</a>). These are sequences of points that completely fill some 2D space.</p>
<a name="PasDoc-Uses"></a><h2 class="uses">Uses</h2>
<ul class="useslist"><li>SysUtils</li><li><a href="CastleVectors.html">CastleVectors</a></li></ul><h2 class="overview">Overview</h2>
<a name="PasDoc-Classes"></a><h3 class="cio">Classes, Interfaces, Objects and Records</h3>
<table class="classestable wide_list">
<tr class="listheader">
<th class="itemname">Name</th>
<th class="itemdesc">Description</th>
</tr>
<tr class="list">
<td class="itemname">Class <a class="bold" href="CastleSpaceFillingCurves.TSpaceFillingCurve.html"><code>TSpaceFillingCurve</code></a></td>
<td class="itemdesc">Base abstract space-filling curve class.</td>
</tr>
<tr class="list2">
<td class="itemname">Class <a class="bold" href="CastleSpaceFillingCurves.TPrecalcCurve.html"><code>TPrecalcCurve</code></a></td>
<td class="itemdesc">Abstract space-filling curve class, helping implementing curves that precalculate points at construction.</td>
</tr>
<tr class="list">
<td class="itemname">Class <a class="bold" href="CastleSpaceFillingCurves.TSwapScanCurve.html"><code>TSwapScanCurve</code></a></td>
<td class="itemdesc">Simple space-filling curve that goes row by row, swapping direction.</td>
</tr>
<tr class="list2">
<td class="itemname">Class <a class="bold" href="CastleSpaceFillingCurves.THilbertCurve.html"><code>THilbertCurve</code></a></td>
<td class="itemdesc">Space-filling Hilbert curve.</td>
</tr>
<tr class="list">
<td class="itemname">Class <a class="bold" href="CastleSpaceFillingCurves.TPeanoCurve.html"><code>TPeanoCurve</code></a></td>
<td class="itemdesc">Space-filling Peano curve.</td>
</tr>
<tr class="list2">
<td class="itemname">Class <a class="bold" href="CastleSpaceFillingCurves.EInvalidSFCurveClassName.html"><code>EInvalidSFCurveClassName</code></a></td>
<td class="itemdesc"> </td>
</tr>
</table>
<a name="PasDoc-FuncsProcs"></a><h3 class="summary">Functions and Procedures</h3>
<table class="summary wide_list">
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<td class="itemcode"><code>procedure <b><a href="CastleSpaceFillingCurves.html#PeanoCurve">PeanoCurve</a></b>(InitialOrient: boolean; Angle: <a href="CastleSpaceFillingCurves.html#TSFCAngle">TSFCAngle</a>; InitialLevel: Cardinal; Step: <a href="CastleSpaceFillingCurves.html#TSFCStepFunction">TSFCStepFunction</a>; StepData: Pointer);</code></td>
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<tr class="list2">
<td class="itemcode"><code>procedure <b><a href="CastleSpaceFillingCurves.html#HilbertCurve">HilbertCurve</a></b>(InitialOrient: boolean; Angle: <a href="CastleSpaceFillingCurves.html#TSFCAngle">TSFCAngle</a>; InitialLevel: Cardinal; Step: <a href="CastleSpaceFillingCurves.html#TSFCStepFunction">TSFCStepFunction</a>; StepData: Pointer);</code></td>
</tr>
<tr class="list">
<td class="itemcode"><code>function <b><a href="CastleSpaceFillingCurves.html#StrToSFCurveClass">StrToSFCurveClass</a></b>(const s: string): <a href="CastleSpaceFillingCurves.html#TSpaceFillingCurveClass">TSpaceFillingCurveClass</a>;</code></td>
</tr>
<tr class="list2">
<td class="itemcode"><code>function <b><a href="CastleSpaceFillingCurves.html#AllSFCurveClassesNames">AllSFCurveClassesNames</a></b>: string;</code></td>
</tr>
</table>
<a name="PasDoc-Types"></a><h3 class="summary">Types</h3>
<table class="summary wide_list">
<tr class="list">
<td class="itemcode"><code><b><a href="CastleSpaceFillingCurves.html#TSFCAngle">TSFCAngle</a></b> = 0..3;</code></td>
</tr>
<tr class="list2">
<td class="itemcode"><code><b><a href="CastleSpaceFillingCurves.html#TSFCStepFunction">TSFCStepFunction</a></b> = procedure (Angle: <a href="CastleSpaceFillingCurves.html#TSFCAngle">TSFCAngle</a>; StepFuncData: Pointer);</code></td>
</tr>
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<td class="itemcode"><code><b><a href="CastleSpaceFillingCurves.html#TSpaceFillingCurveClass">TSpaceFillingCurveClass</a></b> = class of <a href="CastleSpaceFillingCurves.TSpaceFillingCurve.html">TSpaceFillingCurve</a>;</code></td>
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<a name="PasDoc-Constants"></a><h3 class="summary">Constants</h3>
<table class="summary wide_list">
<tr class="list">
<td class="itemcode"><code><b><a href="CastleSpaceFillingCurves.html#AvailableSFCurveClasses">AvailableSFCurveClasses</a></b>: array[0..2]of <a href="CastleSpaceFillingCurves.html#TSpaceFillingCurveClass">TSpaceFillingCurveClass</a>=
(<a href="CastleSpaceFillingCurves.TSwapScanCurve.html">TSwapScanCurve</a>, <a href="CastleSpaceFillingCurves.THilbertCurve.html">THilbertCurve</a>, <a href="CastleSpaceFillingCurves.TPeanoCurve.html">TPeanoCurve</a>);</code></td>
</tr>
</table>
<h2 class="description">Description</h2>
<h3 class="detail">Functions and Procedures</h3>
<table class="detail wide_list">
<tr class="list">
<td class="itemcode"><a name="PeanoCurve"></a><code>procedure <b>PeanoCurve</b>(InitialOrient: boolean; Angle: <a href="CastleSpaceFillingCurves.html#TSFCAngle">TSFCAngle</a>; InitialLevel: Cardinal; Step: <a href="CastleSpaceFillingCurves.html#TSFCStepFunction">TSFCStepFunction</a>; StepData: Pointer);</code></td>
</tr>
<tr><td colspan="1">
<p>
Low-level procedures to generate consecutive Peano and Hilbert curve points. See e.g. "Graphic Gems II" (gem I.8) or <a href="http://en.wikipedia.org/wiki/Space-filling_curve">http://en.wikipedia.org/wiki/Space-filling_curve</a> for nice description.
<p>Step is a function that goes to a neighbor 2D point, and "marks" it (whatever it means for your usage). If the starting point is "marked" at the beginning, using Peano or Hilbert curve guarantees that you will eventually "mark" the whole 2D space.
<p>Peano curve fills a plane size 3ˆLevel, Hilbert curve fills size 2ˆLevel.
<p>Angle is an initial orientation, determining in which direction the curve will be drawn. If you want to fill the space up and to the left from the initial point (according to conventions that Angle = 0 is right, Angle = 1 is up, and so on (CCW)), then use:
<p></p>
<ul class="compact_spacing">
<li><p>InitialOrient = false and Angle = 0 for <code>PeanoCurve</code>.</p></li>
<li><p>InitialOrient = true and Angle = 0 for <a class="normal" href="CastleSpaceFillingCurves.html#HilbertCurve">HilbertCurve</a>.</p></li>
</ul>
<p>
<p></p>
</td></tr>
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<table class="detail wide_list">
<tr class="list">
<td class="itemcode"><a name="HilbertCurve"></a><code>procedure <b>HilbertCurve</b>(InitialOrient: boolean; Angle: <a href="CastleSpaceFillingCurves.html#TSFCAngle">TSFCAngle</a>; InitialLevel: Cardinal; Step: <a href="CastleSpaceFillingCurves.html#TSFCStepFunction">TSFCStepFunction</a>; StepData: Pointer);</code></td>
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</td></tr>
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<table class="detail wide_list">
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<td class="itemcode"><a name="StrToSFCurveClass"></a><code>function <b>StrToSFCurveClass</b>(const s: string): <a href="CastleSpaceFillingCurves.html#TSpaceFillingCurveClass">TSpaceFillingCurveClass</a>;</code></td>
</tr>
<tr><td colspan="1">
<p>
For curve name (matching some <a class="normal" href="CastleSpaceFillingCurves.TSpaceFillingCurve.html#SFCName">TSpaceFillingCurve.SFCName</a>), return appropriate class. Not case-sensitive. </p>
<h6 class="description_section">Exceptions raised</h6>
<dl class="exceptions_raised">
<dt><a class="normal" href="CastleSpaceFillingCurves.EInvalidSFCurveClassName.html">EInvalidSFCurveClassName</a></dt>
<dd>For unknown curve names.</dd>
</dl>
</td></tr>
</table>
<table class="detail wide_list">
<tr class="list">
<td class="itemcode"><a name="AllSFCurveClassesNames"></a><code>function <b>AllSFCurveClassesNames</b>: string;</code></td>
</tr>
<tr><td colspan="1">
<p>
All non-abstract space-filling curve names. Separated by commas, in apostrophes.</p>
</td></tr>
</table>
<h3 class="detail">Types</h3>
<table class="detail wide_list">
<tr class="list">
<td class="itemcode"><a name="TSFCAngle"></a><code><b>TSFCAngle</b> = 0..3;</code></td>
</tr>
<tr><td colspan="1">
<p>
Angle for space-filling curves.
<p>Let's say 0 = 0 degrees, 1 = 90 degrees, 2 = 180, 3 = 270, but actually it doesn't matter much — it all a matter of convention here.</p>
</td></tr>
</table>
<table class="detail wide_list">
<tr class="list">
<td class="itemcode"><a name="TSFCStepFunction"></a><code><b>TSFCStepFunction</b> = procedure (Angle: <a href="CastleSpaceFillingCurves.html#TSFCAngle">TSFCAngle</a>; StepFuncData: Pointer);</code></td>
</tr>
<tr><td colspan="1">
</td></tr>
</table>
<table class="detail wide_list">
<tr class="list">
<td class="itemcode"><a name="TSpaceFillingCurveClass"></a><code><b>TSpaceFillingCurveClass</b> = class of <a href="CastleSpaceFillingCurves.TSpaceFillingCurve.html">TSpaceFillingCurve</a>;</code></td>
</tr>
<tr><td colspan="1">
</td></tr>
</table>
<h3 class="detail">Constants</h3>
<table class="detail wide_list">
<tr class="list">
<td class="itemcode"><a name="AvailableSFCurveClasses"></a><code><b>AvailableSFCurveClasses</b>: array[0..2]of <a href="CastleSpaceFillingCurves.html#TSpaceFillingCurveClass">TSpaceFillingCurveClass</a>=
(<a href="CastleSpaceFillingCurves.TSwapScanCurve.html">TSwapScanCurve</a>, <a href="CastleSpaceFillingCurves.THilbertCurve.html">THilbertCurve</a>, <a href="CastleSpaceFillingCurves.TPeanoCurve.html">TPeanoCurve</a>);</code></td>
</tr>
<tr><td colspan="1">
<p>
Available space-filling curves (non-abstract <a class="normal" href="CastleSpaceFillingCurves.TSpaceFillingCurve.html">TSpaceFillingCurve</a> descendants).</p>
</td></tr>
</table>
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