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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: CastleBoxes: Object TBox3D</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="TBox3D"></a><h1 class="cio">Object TBox3D</h1>
<table class="sections wide_list">
<tr>
<td><a class="section" href="#PasDoc-Description">Description</a></td><td><a class="section" href="#PasDoc-Hierarchy">Hierarchy</a></td><td><a class="section" href="#PasDoc-Fields">Fields</a></td><td><a class="section" href="#PasDoc-Methods">Methods</a></td><td>Properties</td></tr></table>
<a name="PasDoc-Description"></a><h2 class="unit">Unit</h2>
<p class="unitlink">
<a href="CastleBoxes.html">CastleBoxes</a></p>
<h2 class="declaration">Declaration</h2>
<p class="declaration">
<code>type TBox3D = object(TObject)</code></p>
<h2 class="description">Description</h2>
<p>
Axis-aligned box. Rectangular prism with all sides parallel to basic planes X = 0, Y = 0 and Z = 0. This is sometimes called AABB, "axis-aligned bounding box". Many geometric operations are fast and easy on this type.
<p>The actual box dimensions are stored inside the <a class="normal" href="CastleBoxes.TBox3D.html#Data">Data</a> field, as two 3D points. First point has always all the smaller coords, second point has all the larger coords. I.e. always
<p></p>
<pre class="preformatted">
Data[0, 0] <= Data[1, 0] and
Data[0, 1] <= Data[1, 1] and
Data[0, 2] <= Data[1, 2]
</pre>
<p> The only exception is the special value <a class="normal" href="CastleBoxes.html#EmptyBox3D">EmptyBox3D</a>.
<p>Note that the box may still have all sizes equal 0. Consider a 3D model with only a single 3D point — it's not empty, but all the sizes must be 0.
<p>This is an old-style object (withut any virtual methods). This way there's no need for using constructors / destructors to manage this, you can simply declare <code>TBox3D</code> type and copy / pass around this box to other procedures.</p>
<a name="PasDoc-Hierarchy"></a><h2 class="hierarchy">Hierarchy</h2>
<ul class="hierarchy"><li class="ancestor">TObject</li>
<li class="thisitem">TBox3D</li></ul><h2 class="overview">Overview</h2>
<a name="PasDoc-Fields"></a><h3 class="summary">Fields</h3>
<table class="summary wide_list">
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<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code><b><a href="CastleBoxes.TBox3D.html#Data">Data</a></b>: array [0..1 ] of <a href="CastleVectors.html#TVector3Single">TVector3Single</a>;</code></td>
</tr>
</table>
<a name="PasDoc-Methods"></a><h3 class="summary">Methods</h3>
<table class="summary wide_list">
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<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#IsEmpty">IsEmpty</a></b>: boolean;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#IsEmptyOrZero">IsEmptyOrZero</a></b>: boolean;</code></td>
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<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#CheckNonEmpty">CheckNonEmpty</a></b>;</code></td>
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<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Middle">Middle</a></b>: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#AverageSize">AverageSize</a></b>: Single; overload;</code></td>
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<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#MaxSize">MaxSize</a></b>: Single; overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#MinSize">MinSize</a></b>: Single;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#SizeX">SizeX</a></b>: Single;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#SizeY">SizeY</a></b>: Single;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#SizeZ">SizeZ</a></b>: Single;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#AverageSize">AverageSize</a></b>(const AllowZero: boolean; const EmptyBoxSize: Single): Single; overload;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#MaxSize">MaxSize</a></b>(const AllowZero: boolean; const EmptyBoxSize: Single): Single; overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Area">Area</a></b>(const AllowZero: boolean; const EmptyBoxArea: Single): Single;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#ExpandMe">ExpandMe</a></b>(const AExpand: Single); overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#ExpandMe">ExpandMe</a></b>(const AExpand: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>); overload;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Expand">Expand</a></b>(const AExpand: Single): <a href="CastleBoxes.TBox3D.html">TBox3D</a>; overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Expand">Expand</a></b>(const AExpand: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>; overload;</code></td>
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<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PointInside">PointInside</a></b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PointInside">PointInside</a></b>(const Point: <a href="CastleVectors.html#TVector3Double">TVector3Double</a>): boolean; overload;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PointInside2D">PointInside2D</a></b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const IgnoreIndex: Integer): boolean;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#Add">Add</a></b>(const box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>); overload;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#Add">Add</a></b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>); overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Sizes">Sizes</a></b>: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>;</code></td>
</tr>
<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#GetAllPoints">GetAllPoints</a></b>(allpoints: <a href="CastleVectors.html#PVector3Single">PVector3Single</a>);</code></td>
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<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Transform">Transform</a></b>(const Matrix: <a href="CastleVectors.html#TMatrix4Single">TMatrix4Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>;</code></td>
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<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Translate">Translate</a></b>(const Translation: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#AntiTranslate">AntiTranslate</a></b>(const Translation: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>;</code></td>
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<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#ToNiceStr">ToNiceStr</a></b>: string;</code></td>
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<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#ToRawStr">ToRawStr</a></b>: string;</code></td>
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<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#Clamp">Clamp</a></b>(var point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>); overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#Clamp">Clamp</a></b>(var point: <a href="CastleVectors.html#TVector3Double">TVector3Double</a>); overload;</code></td>
</tr>
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<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#TryRayClosestIntersection">TryRayClosestIntersection</a></b>( out Intersection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out IntersectionDistance: Single; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
</tr>
<tr class="list">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#TryRayClosestIntersection">TryRayClosestIntersection</a></b>( out Intersection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<tr class="list2">
<td class="visibility"><a href="legend.html"><img src="public.gif" alt="Public" title="Public"></a></td>
<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#TryRayClosestIntersection">TryRayClosestIntersection</a></b>( out IntersectionDistance: Single; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#TryRayEntrance">TryRayEntrance</a></b>( out Entrance: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out EntranceDistance: Single; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#TryRayEntrance">TryRayEntrance</a></b>( out Entrance: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#SegmentCollision">SegmentCollision</a></b>( const Segment1, Segment2: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PlaneCollision">PlaneCollision</a></b>(const Plane: <a href="CastleVectors.html#TVector4Single">TVector4Single</a>): <a href="CastleBoxes.html#TPlaneCollision">TPlaneCollision</a>;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PlaneCollisionInside">PlaneCollisionInside</a></b>(const Plane: <a href="CastleVectors.html#TVector4Single">TVector4Single</a>): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PlaneCollisionOutside">PlaneCollisionOutside</a></b>(const Plane: <a href="CastleVectors.html#TVector4Single">TVector4Single</a>): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#IsTriangleCollision">IsTriangleCollision</a></b>( const Triangle: <a href="CastleTriangles.html#TTriangle3Single">TTriangle3Single</a>): boolean;</code></td>
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<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#BoundingSphere">BoundingSphere</a></b>( var SphereCenter: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; var SphereRadiusSqr: Single);</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Collision">Collision</a></b>(const Box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Radius">Radius</a></b>: Single;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Radius2D">Radius2D</a></b>(const IgnoreIndex: Integer): Single;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#SphereSimpleCollision">SphereSimpleCollision</a></b>( const SphereCenter: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const SphereRadius: Single): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#SphereCollision">SphereCollision</a></b>( const SphereCenter: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const SphereRadius: Single): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#MaximumPlane">MaximumPlane</a></b>(const Direction: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleVectors.html#TVector4Single">TVector4Single</a>;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#MinimumPlane">MinimumPlane</a></b>(const Direction: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleVectors.html#TVector4Single">TVector4Single</a>;</code></td>
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<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#PointDistances">PointDistances</a></b>(const P: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out MinDistance, MaxDistance: Single);</code></td>
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<td class="itemcode"><code>procedure <b><a href="CastleBoxes.TBox3D.html#DirectionDistances">DirectionDistances</a></b>( const Point, Dir: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out MinDistance, MaxDistance: Single);</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PointDistance">PointDistance</a></b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): Single;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#PointMaxDistance">PointMaxDistance</a></b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const EmptyBoxDistance: Single): Single;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Equal">Equal</a></b>(const Box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Equal">Equal</a></b>(const Box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>; const EqualityEpsilon: Single): boolean;</code></td>
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<td class="itemcode"><code>function <b><a href="CastleBoxes.TBox3D.html#Diagonal">Diagonal</a></b>: Single;</code></td>
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<h2 class="description">Description</h2>
<h3 class="detail">Fields</h3>
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<td class="itemcode"><a name="Data"></a><code><b>Data</b>: array [0..1 ] of <a href="CastleVectors.html#TVector3Single">TVector3Single</a>;</code></td>
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<h3 class="detail">Methods</h3>
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<td class="itemcode"><a name="IsEmpty"></a><code>function <b>IsEmpty</b>: boolean;</code></td>
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<p>
Check is box empty. You can think of this function as "compare Box with <a class="normal" href="CastleBoxes.html#EmptyBox3D">EmptyBox3D</a>".
<p>But actually it works a little faster, by utilizing the assumption that <a class="normal" href="CastleBoxes.html#EmptyBox3D">EmptyBox3D</a> is the only allowed value that breaks <code>Data[0, 0] <= Data[1, 0]</code> rule.</p>
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<td class="itemcode"><a name="IsEmptyOrZero"></a><code>function <b>IsEmptyOrZero</b>: boolean;</code></td>
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<p>
Check is box empty or has all the sizes equal 0.</p>
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<td class="itemcode"><a name="CheckNonEmpty"></a><code>procedure <b>CheckNonEmpty</b>;</code></td>
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<td class="itemcode"><a name="Middle"></a><code>function <b>Middle</b>: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>;</code></td>
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<p>
These functions calculate the middle point, average size, max size and particular sizes of given bounding box.
<p>
<p></p>
<h6 class="description_section">Exceptions raised</h6>
<dl class="exceptions_raised">
<dt><a class="normal" href="CastleBoxes.EBox3DEmpty.html">EBox3DEmpty</a></dt>
<dd>If the Box is empty.</dd>
</dl>
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<td class="itemcode"><a name="AverageSize"></a><code>function <b>AverageSize</b>: Single; overload;</code></td>
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<td class="itemcode"><a name="MaxSize"></a><code>function <b>MaxSize</b>: Single; overload;</code></td>
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<td class="itemcode"><a name="MinSize"></a><code>function <b>MinSize</b>: Single;</code></td>
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<td class="itemcode"><a name="SizeX"></a><code>function <b>SizeX</b>: Single;</code></td>
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<td class="itemcode"><a name="SizeY"></a><code>function <b>SizeY</b>: Single;</code></td>
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<td class="itemcode"><a name="SizeZ"></a><code>function <b>SizeZ</b>: Single;</code></td>
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<td class="itemcode"><a name="AverageSize"></a><code>function <b>AverageSize</b>(const AllowZero: boolean; const EmptyBoxSize: Single): Single; overload;</code></td>
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<p>
Average size of <a class="normal" href="CastleBoxes.TBox3D.html">TBox3D</a>, or EmptyBoxSize if box is empty. </p>
<h6 class="description_section">Parameters</h6>
<dl class="parameters">
<dt>AllowZero</dt>
<dd>Decides what to do when box is not empty but the result would be zero, which means that the box is infinitely thin in all axes. If <code>True</code>, then result is just 0, otherwise it's EmptyBoxSize.</dd>
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<td class="itemcode"><a name="MaxSize"></a><code>function <b>MaxSize</b>(const AllowZero: boolean; const EmptyBoxSize: Single): Single; overload;</code></td>
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<p>
Largest size of <a class="normal" href="CastleBoxes.TBox3D.html">TBox3D</a>, or EmptyBoxSize if box is empty. </p>
<h6 class="description_section">Parameters</h6>
<dl class="parameters">
<dt>AllowZero</dt>
<dd>Decides what to do when box is not empty but the result would be zero, which means that the box is infinitely thin in all axes. If <code>True</code>, then result is just 0, otherwise it's EmptyBoxSize.</dd>
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<td class="itemcode"><a name="Area"></a><code>function <b>Area</b>(const AllowZero: boolean; const EmptyBoxArea: Single): Single;</code></td>
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<p>
Area of the six <a class="normal" href="CastleBoxes.TBox3D.html">TBox3D</a> sides, EmptyBoxArea if box is empty. </p>
<h6 class="description_section">Parameters</h6>
<dl class="parameters">
<dt>AllowZero</dt>
<dd>Decides what to do when box is not empty but the result would be zero, which means that the box is infinitely thin in all axes. If <code>True</code>, then result is just 0, otherwise it's EmptyBoxSize.</dd>
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<td class="itemcode"><a name="ExpandMe"></a><code>procedure <b>ExpandMe</b>(const AExpand: Single); overload;</code></td>
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<p>
This decreases Data[0, 0], Data[0, 1], Data[0, 2] by AExpand and increases Data[1, 0], Data[1, 1], Data[1, 2] by AExpand. So you get Box with all sizes increased by 2 * AExpand.
<p>Box must not be empty. Note that AExpand may be negative, but then you must be sure that it doesn't make Box empty.</p>
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<td class="itemcode"><a name="ExpandMe"></a><code>procedure <b>ExpandMe</b>(const AExpand: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>); overload;</code></td>
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<p>
This decreases Data[0] by AExpand, and increases Data[1] by AExpand. So you get Box with all sizes increased by 2 * AExpand.
<p>Box must not be empty. Note that AExpand may be negative, but then you must be sure that it doesn't make Box empty.</p>
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<td class="itemcode"><a name="Expand"></a><code>function <b>Expand</b>(const AExpand: Single): <a href="CastleBoxes.TBox3D.html">TBox3D</a>; overload;</code></td>
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<td class="itemcode"><a name="Expand"></a><code>function <b>Expand</b>(const AExpand: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>; overload;</code></td>
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<td class="itemcode"><a name="PointInside"></a><code>function <b>PointInside</b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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Check is the point inside the box. Always false if Box is empty (obviously, no point is inside an empty box).
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<td class="itemcode"><a name="PointInside"></a><code>function <b>PointInside</b>(const Point: <a href="CastleVectors.html#TVector3Double">TVector3Double</a>): boolean; overload;</code></td>
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<td class="itemcode"><a name="PointInside2D"></a><code>function <b>PointInside2D</b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const IgnoreIndex: Integer): boolean;</code></td>
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Is the 2D point inside the 2D projection of the box. 2D projection (of point and box) is obtained by rejecting the IgnoreIndex coordinate (must be 0, 1 or 2).</p>
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<td class="itemcode"><a name="Add"></a><code>procedure <b>Add</b>(const box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>); overload;</code></td>
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Sum two <a class="normal" href="CastleBoxes.TBox3D.html">TBox3D</a> values. This calculates the smallest box that encloses both Box1 and Box2. You can also use + operator.</p>
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<td class="itemcode"><a name="Add"></a><code>procedure <b>Add</b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>); overload;</code></td>
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Make box larger, if necessary, to contain given Point.</p>
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<td class="itemcode"><a name="Sizes"></a><code>function <b>Sizes</b>: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>;</code></td>
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Three box sizes.</p>
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<td class="itemcode"><a name="GetAllPoints"></a><code>procedure <b>GetAllPoints</b>(allpoints: <a href="CastleVectors.html#PVector3Single">PVector3Single</a>);</code></td>
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Calculate eight corners of the box. Place them in AllPointsˆ[0..7].</p>
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<td class="itemcode"><a name="Transform"></a><code>function <b>Transform</b>(const Matrix: <a href="CastleVectors.html#TMatrix4Single">TMatrix4Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>;</code></td>
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<p>
Transform the Box by given matrix. Since this is still an axis-aligned box, rotating etc. of the box usually makes larger box.
<p>Note that this is very optimized for Matrix with no projection (where last row of the last matrix = [0, 0, 0, 1]). It still works for all matrices (eventually fallbacks to simple "transform 8 corners and get box enclosing them" method).
<p></p>
<h6 class="description_section">Exceptions raised</h6>
<dl class="exceptions_raised">
<dt><a class="normal" href="CastleVectors.ETransformedResultInvalid.html">ETransformedResultInvalid</a></dt>
<dd>When the Matrix will transform some point to a direction (vector with 4th component equal zero). In this case we just cannot interpret the result as a 3D point, so we also cannot interpret the final result as a box.</dd>
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<td class="itemcode"><a name="Translate"></a><code>function <b>Translate</b>(const Translation: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>;</code></td>
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Move Box. Does nothing if Box is empty.</p>
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<td class="itemcode"><a name="AntiTranslate"></a><code>function <b>AntiTranslate</b>(const Translation: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleBoxes.TBox3D.html">TBox3D</a>;</code></td>
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<p>
Move Box, by -Translation. Does nothing if Box is empty.</p>
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<td class="itemcode"><a name="ToNiceStr"></a><code>function <b>ToNiceStr</b>: string;</code></td>
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<td class="itemcode"><a name="ToRawStr"></a><code>function <b>ToRawStr</b>: string;</code></td>
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<td class="itemcode"><a name="Clamp"></a><code>procedure <b>Clamp</b>(var point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>); overload;</code></td>
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<td class="itemcode"><a name="Clamp"></a><code>procedure <b>Clamp</b>(var point: <a href="CastleVectors.html#TVector3Double">TVector3Double</a>); overload;</code></td>
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<td class="itemcode"><a name="TryRayClosestIntersection"></a><code>function <b>TryRayClosestIntersection</b>( out Intersection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out IntersectionDistance: Single; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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TryBoxRayClosestIntersection calculates intersection between the ray (returns closest intersection to RayOrigin) and the box.
<p>The box is treated just like a set of 6 rectangles in 3D. This means that the intersection will always be placed on one of the box sides, even if RayOrigin starts inside the box. See TryBoxRayEntrance for the other version.
<p>Returns also IntersectionDistance, which is the distance to the Intersection relative to RayDirection (i.e. Intersection is always = RayOrigin + IntersectionDistance * RayDirection).
<p></p>
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<td class="itemcode"><a name="TryRayClosestIntersection"></a><code>function <b>TryRayClosestIntersection</b>( out Intersection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<td class="itemcode"><a name="TryRayClosestIntersection"></a><code>function <b>TryRayClosestIntersection</b>( out IntersectionDistance: Single; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<td class="itemcode"><a name="TryRayEntrance"></a><code>function <b>TryRayEntrance</b>( out Entrance: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out EntranceDistance: Single; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<p>
Intersection between the ray (returns closest intersection to RayOrigin) and the box, treating the box as a filled volume.
<p>If RayOrigin is inside the box, TryBoxRayEntrance simply returns RayOrigin. If RayOrigin is outside of the box, the answer is the same as with TryBoxRayClosestIntersection.
<p></p>
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<td class="itemcode"><a name="TryRayEntrance"></a><code>function <b>TryRayEntrance</b>( out Entrance: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const RayOrigin, RayDirection: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean; overload;</code></td>
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<td class="itemcode"><a name="SegmentCollision"></a><code>function <b>SegmentCollision</b>( const Segment1, Segment2: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): boolean;</code></td>
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<td class="itemcode"><a name="PlaneCollision"></a><code>function <b>PlaneCollision</b>(const Plane: <a href="CastleVectors.html#TVector4Single">TVector4Single</a>): <a href="CastleBoxes.html#TPlaneCollision">TPlaneCollision</a>;</code></td>
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Collision between axis-aligned box (<a class="normal" href="CastleBoxes.TBox3D.html">TBox3D</a>) and 3D plane. Returns detailed result as <a class="normal" href="CastleBoxes.html#TPlaneCollision">TPlaneCollision</a>.</p>
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<td class="itemcode"><a name="PlaneCollisionInside"></a><code>function <b>PlaneCollisionInside</b>(const Plane: <a href="CastleVectors.html#TVector4Single">TVector4Single</a>): boolean;</code></td>
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Check is axis-aligned box (<a class="normal" href="CastleBoxes.TBox3D.html">TBox3D</a>) fully inside/outside the plane.
<p>Inside/outside are defined as for <a class="normal" href="CastleBoxes.html#TPlaneCollision">TPlaneCollision</a>: Outside is where plane direction (normal) points. Inside is where the <i>inverted</i> plane direction (normal) points.
<p>They work exactly like Box3DPlaneCollision, except they returns <code>True</code> when box is inside/outside (when Box3DPlaneCollision returned pcInside/pcOutside), and <code>False</code> otherwise.
<p>For example Box3DPlaneCollisionInside doesn't differentiate between case when box is empty, of partially intersects the plane, and is on the outside. But it works (very slightly) faster.
<p></p>
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<td class="itemcode"><a name="PlaneCollisionOutside"></a><code>function <b>PlaneCollisionOutside</b>(const Plane: <a href="CastleVectors.html#TVector4Single">TVector4Single</a>): boolean;</code></td>
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<td class="itemcode"><a name="IsTriangleCollision"></a><code>function <b>IsTriangleCollision</b>( const Triangle: <a href="CastleTriangles.html#TTriangle3Single">TTriangle3Single</a>): boolean;</code></td>
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<td class="itemcode"><a name="BoundingSphere"></a><code>procedure <b>BoundingSphere</b>( var SphereCenter: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; var SphereRadiusSqr: Single);</code></td>
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<p>
Smallest possible sphere completely enclosing given Box. When Box is empty we return SphereRadiusSqr = 0 and undefined SphereCenter.</p>
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<td class="itemcode"><a name="Collision"></a><code>function <b>Collision</b>(const Box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>): boolean;</code></td>
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<td class="itemcode"><a name="Radius"></a><code>function <b>Radius</b>: Single;</code></td>
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<p>
Radius of the minimal sphere that contains this box. Sphere center is assumed to be in (0, 0, 0). 0 if box is empty.</p>
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<td class="itemcode"><a name="Radius2D"></a><code>function <b>Radius2D</b>(const IgnoreIndex: Integer): Single;</code></td>
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Radius of the minimal circle that contains the 2D projection of this box. 2D box projection is obtained by rejecting the IgnoreIndex coordinate (must be 0, 1 or 2). Circle center is assumed to be in (0, 0). 0 if box is empty.</p>
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<td class="itemcode"><a name="SphereSimpleCollision"></a><code>function <b>SphereSimpleCollision</b>( const SphereCenter: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const SphereRadius: Single): boolean;</code></td>
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<p>
Check for collision between box and sphere, fast <i>but not entirely correct</i>.
<p>This considers a Box enlarged by SphereRadius in each direction. Then checks whether SphereCenter is inside such enlarged Box. So this check will incorrectly report collision while in fact there's no collision in the case when the sphere center is near the corner of the Box.
<p>So this check is not 100% correct. But often this is good enough — in games, if you know that the SphereRadius is going to be relatively small compared to the Box, this may be perfectly acceptable. And it's fast.</p>
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<td class="itemcode"><a name="SphereCollision"></a><code>function <b>SphereCollision</b>( const SphereCenter: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const SphereRadius: Single): boolean;</code></td>
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Check for box <-> sphere collision. This is a little slower than <a class="normal" href="CastleBoxes.TBox3D.html#SphereSimpleCollision">SphereSimpleCollision</a>, although still damn fast, and it's a precise check.</p>
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<td class="itemcode"><a name="MaximumPlane"></a><code>function <b>MaximumPlane</b>(const Direction: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleVectors.html#TVector4Single">TVector4Single</a>;</code></td>
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<p>
Calculate a plane in 3D space with direction = given Direction, moved maximally in Direction and still intersecting the given Box.
<p>For example, if Direction = -Z = (0, 0, -1), then this will return the bottom plane of this box. For Direction = (1, 1, 1), this will return a plane intersecting the Data[1] (maximum) point, with slope = (1, 1, 1). The resulting plane always intersects at least one of the 8 corners of the box.
<p></p>
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<dt><a class="normal" href="CastleBoxes.EBox3DEmpty.html">EBox3DEmpty</a></dt>
<dd>If the Box is empty.</dd>
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<td class="itemcode"><a name="MinimumPlane"></a><code>function <b>MinimumPlane</b>(const Direction: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): <a href="CastleVectors.html#TVector4Single">TVector4Single</a>;</code></td>
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Calculate a plane in 3D space with direction = given Direction, moved such that it touches the Box but takes minimum volume of this box.
<p>For example, if Direction = +Z = (0, 0, 1), then this will return the bottom plane of this box. For Direction = (1, 1, 1), this will return a plane intersecting the Data[0] (minimum) point, with slope = (1, 1, 1). The resulting plane always intersects at least one of the 8 corners of the box.
<p></p>
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<dt><a class="normal" href="CastleBoxes.EBox3DEmpty.html">EBox3DEmpty</a></dt>
<dd>If the Box is empty.</dd>
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<td class="itemcode"><a name="PointDistances"></a><code>procedure <b>PointDistances</b>(const P: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out MinDistance, MaxDistance: Single);</code></td>
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Calculate the distances between a given 3D point and a box. MinDistance is the distance to the closest point of the box, MaxDistance is the distance to the farthest point of the box.
<p>Note that always MinDistance <= MaxDistance. Note that both distances are always >= 0.
<p>When the point is inside the box, it works correct too: minimum distance is zero in this case.
<p>
<p>TODO: calculation of MinDistance is not perfect now. We assume that the closest/farthest point of the box is one of the 8 box corners. Which may not be true in case of the closest point, because it may lie in the middle of some box face (imagine a sphere with increasing radius reaching from a point to a box). So our minimum may be a *little* too large.</p>
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<dt><a class="normal" href="CastleBoxes.EBox3DEmpty.html">EBox3DEmpty</a></dt>
<dd>When used with an empty box.</dd>
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<td class="itemcode"><a name="DirectionDistances"></a><code>procedure <b>DirectionDistances</b>( const Point, Dir: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; out MinDistance, MaxDistance: Single);</code></td>
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Calculate the distances along a direction to a box. The idea is that you have a 3D plane orthogonal to direction Dir and passing through Point. You can move this plane, but you have to keep it's direction constant. MinDistance is the minimal distance along the Dir that you can move this plane, such that it touches the box. MaxDistance is the maximum such distance.
<p>Note that always MinDistance <= MaxDistance. Note that one distance (MinDistance) or both distances may be negative.
<p>As a practical example: imagine a DirectionalLight (light rays are parallel) that has a location. Now MinDistance and MaxDistance give ranges of depth where the Box is, as seen from the light source.
<p></p>
<h6 class="description_section">Exceptions raised</h6>
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<dt><a class="normal" href="CastleBoxes.EBox3DEmpty.html">EBox3DEmpty</a></dt>
<dd>When used with an empty box.</dd>
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<td class="itemcode"><a name="PointDistance"></a><code>function <b>PointDistance</b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>): Single;</code></td>
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Shortest distance between the box and a point. Always zero when the point is inside the box.
<p></p>
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<dt><a class="normal" href="CastleBoxes.EBox3DEmpty.html">EBox3DEmpty</a></dt>
<dd>When used with an empty box.</dd>
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<td class="itemcode"><a name="PointMaxDistance"></a><code>function <b>PointMaxDistance</b>(const Point: <a href="CastleVectors.html#TVector3Single">TVector3Single</a>; const EmptyBoxDistance: Single): Single;</code></td>
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Maximum distance between the box and a point. Returns EmptyBoxDistance when box is empty.</p>
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<td class="itemcode"><a name="Equal"></a><code>function <b>Equal</b>(const Box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>): boolean;</code></td>
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<td class="itemcode"><a name="Equal"></a><code>function <b>Equal</b>(const Box2: <a href="CastleBoxes.TBox3D.html">TBox3D</a>; const EqualityEpsilon: Single): boolean;</code></td>
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<td class="itemcode"><a name="Diagonal"></a><code>function <b>Diagonal</b>: Single;</code></td>
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<code>Diagonal</code> of the box, zero if empty.</p>
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