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<title>Castle Game Engine: CastleCurves: Class TNaturalCubicSpline</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">
<a name="TNaturalCubicSpline"></a><h1 class="cio">Class TNaturalCubicSpline</h1>
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<td><a class="section" href="#PasDoc-Description">Description</a></td><td><a class="section" href="#PasDoc-Hierarchy">Hierarchy</a></td><td>Fields</td><td><a class="section" href="#PasDoc-Methods">Methods</a></td><td><a class="section" href="#PasDoc-Properties">Properties</a></td></tr></table>
<a name="PasDoc-Description"></a><h2 class="unit">Unit</h2>
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<a href="CastleCurves.html">CastleCurves</a></p>
<h2 class="declaration">Declaration</h2>
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<code>type TNaturalCubicSpline = class(TObject)</code></p>
<h2 class="description">Description</h2>
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Natural cubic spline (1D). May be periodic or not.</p>
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<ul class="hierarchy"><li class="ancestor">TObject</li>
<li class="thisitem">TNaturalCubicSpline</li></ul><h2 class="overview">Overview</h2>
<a name="PasDoc-Methods"></a><h3 class="summary">Methods</h3>
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<td class="itemcode"><code>constructor <b><a href="CastleCurves.TNaturalCubicSpline.html#Create">Create</a></b>(X, Y: <a href="CastleUtils.TFloatList.html">TFloatList</a>; AOwnsX, AOwnsY, APeriodic: boolean);</code></td>
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<td class="itemcode"><code>destructor <b><a href="CastleCurves.TNaturalCubicSpline.html#Destroy">Destroy</a></b>; override;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleCurves.TNaturalCubicSpline.html#Evaluate">Evaluate</a></b>(x: <a href="CastleUtils.html#Float">Float</a>): <a href="CastleUtils.html#Float">Float</a>;</code></td>
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<td class="itemcode"><code>property <b><a href="CastleCurves.TNaturalCubicSpline.html#MinX">MinX</a></b>: <a href="CastleUtils.html#Float">Float</a> read FMinX;</code></td>
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<td class="itemcode"><code>property <b><a href="CastleCurves.TNaturalCubicSpline.html#MaxX">MaxX</a></b>: <a href="CastleUtils.html#Float">Float</a> read FMaxX;</code></td>
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<td class="itemcode"><code>property <b><a href="CastleCurves.TNaturalCubicSpline.html#Periodic">Periodic</a></b>: boolean read FPeriodic;</code></td>
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<h2 class="description">Description</h2>
<h3 class="detail">Methods</h3>
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<td class="itemcode"><a name="Create"></a><code>constructor <b>Create</b>(X, Y: <a href="CastleUtils.TFloatList.html">TFloatList</a>; AOwnsX, AOwnsY, APeriodic: boolean);</code></td>
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Constructs natural cubic spline such that for every i in [0; X.Count-1] s(X[i]) = Y[i]. Must be X.Count = Y.Count. X must be already sorted. <a class="normal" href="CastleCurves.TNaturalCubicSpline.html#MinX">MinX</a> = X[0], <a class="normal" href="CastleCurves.TNaturalCubicSpline.html#MaxX">MaxX</a> = X[X.Count-1].
<p>Warning: we will copy references to X and Y ! So make sure that these objects are available for the life of this object. We will free in destructor X if OwnsX and free Y if OwnsY.</p>
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<td class="itemcode"><a name="Destroy"></a><code>destructor <b>Destroy</b>; override;</code></td>
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<td class="itemcode"><a name="Evaluate"></a><code>function <b>Evaluate</b>(x: <a href="CastleUtils.html#Float">Float</a>): <a href="CastleUtils.html#Float">Float</a>;</code></td>
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Evaluate value of natural cubic spline at x. Must be <a class="normal" href="CastleCurves.TNaturalCubicSpline.html#MinX">MinX</a> <= x <= <a class="normal" href="CastleCurves.TNaturalCubicSpline.html#MaxX">MaxX</a>.</p>
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<h3 class="detail">Properties</h3>
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<td class="itemcode"><a name="MinX"></a><code>property <b>MinX</b>: <a href="CastleUtils.html#Float">Float</a> read FMinX;</code></td>
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<td class="itemcode"><a name="MaxX"></a><code>property <b>MaxX</b>: <a href="CastleUtils.html#Float">Float</a> read FMaxX;</code></td>
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<td class="itemcode"><a name="Periodic"></a><code>property <b>Periodic</b>: boolean read FPeriodic;</code></td>
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