mirror of
https://github.com/id-Software/GtkRadiant.git
synced 2026-03-20 00:49:29 +01:00
The GtkRadiant sources as originally released under the GPL license.
This commit is contained in:
Travis Bradshaw
301
libs/math/aabb.h
Normal file
301
libs/math/aabb.h
Normal file
@@ -0,0 +1,301 @@
|
||||
/*
|
||||
Copyright (C) 2001-2006, William Joseph.
|
||||
All Rights Reserved.
|
||||
|
||||
This file is part of GtkRadiant.
|
||||
|
||||
GtkRadiant is free software; you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation; either version 2 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
GtkRadiant is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License
|
||||
along with GtkRadiant; if not, write to the Free Software
|
||||
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
||||
*/
|
||||
|
||||
#if !defined(INCLUDED_MATH_AABB_H)
|
||||
#define INCLUDED_MATH_AABB_H
|
||||
|
||||
/// \file
|
||||
/// \brief Axis-aligned bounding-box data types and related operations.
|
||||
|
||||
#include "math/matrix.h"
|
||||
#include "math/plane.h"
|
||||
|
||||
class AABB
|
||||
{
|
||||
public:
|
||||
Vector3 origin, extents;
|
||||
|
||||
AABB() : origin(0, 0, 0), extents(-1,-1,-1)
|
||||
{
|
||||
}
|
||||
AABB(const Vector3& origin_, const Vector3& extents_) :
|
||||
origin(origin_), extents(extents_)
|
||||
{
|
||||
}
|
||||
};
|
||||
|
||||
const float c_aabb_max = FLT_MAX;
|
||||
|
||||
inline bool extents_valid(float f)
|
||||
{
|
||||
return f >= 0.0f && f <= c_aabb_max;
|
||||
}
|
||||
|
||||
inline bool origin_valid(float f)
|
||||
{
|
||||
return f >= -c_aabb_max && f <= c_aabb_max;
|
||||
}
|
||||
|
||||
inline bool aabb_valid(const AABB& aabb)
|
||||
{
|
||||
return origin_valid(aabb.origin[0])
|
||||
&& origin_valid(aabb.origin[1])
|
||||
&& origin_valid(aabb.origin[2])
|
||||
&& extents_valid(aabb.extents[0])
|
||||
&& extents_valid(aabb.extents[1])
|
||||
&& extents_valid(aabb.extents[2]);
|
||||
}
|
||||
|
||||
inline AABB aabb_for_minmax(const Vector3& min, const Vector3& max)
|
||||
{
|
||||
AABB aabb;
|
||||
aabb.origin = vector3_mid(min, max);
|
||||
aabb.extents = vector3_subtracted(max, aabb.origin);
|
||||
return aabb;
|
||||
}
|
||||
|
||||
template<typename Index>
|
||||
class AABBExtend
|
||||
{
|
||||
public:
|
||||
static void apply(AABB& aabb, const Vector3& point)
|
||||
{
|
||||
float displacement = point[Index::VALUE] - aabb.origin[Index::VALUE];
|
||||
float half_difference = static_cast<float>(0.5 * (fabs(displacement) - aabb.extents[Index::VALUE]));
|
||||
if(half_difference > 0.0f)
|
||||
{
|
||||
aabb.origin[Index::VALUE] += (displacement >= 0.0f) ? half_difference : -half_difference;
|
||||
aabb.extents[Index::VALUE] += half_difference;
|
||||
}
|
||||
}
|
||||
static void apply(AABB& aabb, const AABB& other)
|
||||
{
|
||||
float displacement = other.origin[Index::VALUE] - aabb.origin[Index::VALUE];
|
||||
float difference = other.extents[Index::VALUE] - aabb.extents[Index::VALUE];
|
||||
if(fabs(displacement) > fabs(difference))
|
||||
{
|
||||
float half_difference = static_cast<float>(0.5 * (fabs(displacement) + difference));
|
||||
if(half_difference > 0.0f)
|
||||
{
|
||||
aabb.origin[Index::VALUE] += (displacement >= 0.0f) ? half_difference : -half_difference;
|
||||
aabb.extents[Index::VALUE] += half_difference;
|
||||
}
|
||||
}
|
||||
else if(difference > 0.0f)
|
||||
{
|
||||
aabb.origin[Index::VALUE] = other.origin[Index::VALUE];
|
||||
aabb.extents[Index::VALUE] = other.extents[Index::VALUE];
|
||||
}
|
||||
}
|
||||
};
|
||||
|
||||
inline void aabb_extend_by_point(AABB& aabb, const Vector3& point)
|
||||
{
|
||||
AABBExtend< IntegralConstant<0> >::apply(aabb, point);
|
||||
AABBExtend< IntegralConstant<1> >::apply(aabb, point);
|
||||
AABBExtend< IntegralConstant<2> >::apply(aabb, point);
|
||||
}
|
||||
|
||||
inline void aabb_extend_by_point_safe(AABB& aabb, const Vector3& point)
|
||||
{
|
||||
if(aabb_valid(aabb))
|
||||
{
|
||||
aabb_extend_by_point(aabb, point);
|
||||
}
|
||||
else
|
||||
{
|
||||
aabb.origin = point;
|
||||
aabb.extents = Vector3(0, 0, 0);
|
||||
}
|
||||
}
|
||||
|
||||
class AABBExtendByPoint
|
||||
{
|
||||
AABB& m_aabb;
|
||||
public:
|
||||
AABBExtendByPoint(AABB& aabb) : m_aabb(aabb)
|
||||
{
|
||||
}
|
||||
void operator()(const Vector3& point) const
|
||||
{
|
||||
aabb_extend_by_point_safe(m_aabb, point);
|
||||
}
|
||||
};
|
||||
|
||||
inline void aabb_extend_by_aabb(AABB& aabb, const AABB& other)
|
||||
{
|
||||
AABBExtend< IntegralConstant<0> >::apply(aabb, other);
|
||||
AABBExtend< IntegralConstant<1> >::apply(aabb, other);
|
||||
AABBExtend< IntegralConstant<2> >::apply(aabb, other);
|
||||
}
|
||||
|
||||
inline void aabb_extend_by_aabb_safe(AABB& aabb, const AABB& other)
|
||||
{
|
||||
if(aabb_valid(aabb) && aabb_valid(other))
|
||||
{
|
||||
aabb_extend_by_aabb(aabb, other);
|
||||
}
|
||||
else if(aabb_valid(other))
|
||||
{
|
||||
aabb = other;
|
||||
}
|
||||
}
|
||||
|
||||
inline void aabb_extend_by_vec3(AABB& aabb, const Vector3& extension)
|
||||
{
|
||||
vector3_add(aabb.extents, extension);
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
template<typename Index>
|
||||
inline bool aabb_intersects_point_dimension(const AABB& aabb, const Vector3& point)
|
||||
{
|
||||
return fabs(point[Index::VALUE] - aabb.origin[Index::VALUE]) < aabb.extents[Index::VALUE];
|
||||
}
|
||||
|
||||
inline bool aabb_intersects_point(const AABB& aabb, const Vector3& point)
|
||||
{
|
||||
return aabb_intersects_point_dimension< IntegralConstant<0> >(aabb, point)
|
||||
&& aabb_intersects_point_dimension< IntegralConstant<1> >(aabb, point)
|
||||
&& aabb_intersects_point_dimension< IntegralConstant<2> >(aabb, point);
|
||||
}
|
||||
|
||||
template<typename Index>
|
||||
inline bool aabb_intersects_aabb_dimension(const AABB& aabb, const AABB& other)
|
||||
{
|
||||
return fabs(other.origin[Index::VALUE] - aabb.origin[Index::VALUE]) < (aabb.extents[Index::VALUE] + other.extents[Index::VALUE]);
|
||||
}
|
||||
|
||||
inline bool aabb_intersects_aabb(const AABB& aabb, const AABB& other)
|
||||
{
|
||||
return aabb_intersects_aabb_dimension< IntegralConstant<0> >(aabb, other)
|
||||
&& aabb_intersects_aabb_dimension< IntegralConstant<1> >(aabb, other)
|
||||
&& aabb_intersects_aabb_dimension< IntegralConstant<2> >(aabb, other);
|
||||
}
|
||||
|
||||
inline unsigned int aabb_classify_plane(const AABB& aabb, const Plane3& plane)
|
||||
{
|
||||
double distance_origin = vector3_dot(plane.normal(), aabb.origin) + plane.dist();
|
||||
|
||||
if(fabs(distance_origin) < (fabs(plane.a * aabb.extents[0])
|
||||
+ fabs(plane.b * aabb.extents[1])
|
||||
+ fabs(plane.c * aabb.extents[2])))
|
||||
{
|
||||
return 1; // partially inside
|
||||
}
|
||||
else if (distance_origin < 0)
|
||||
{
|
||||
return 2; // totally inside
|
||||
}
|
||||
return 0; // totally outside
|
||||
}
|
||||
|
||||
inline unsigned int aabb_oriented_classify_plane(const AABB& aabb, const Matrix4& transform, const Plane3& plane)
|
||||
{
|
||||
double distance_origin = vector3_dot(plane.normal(), aabb.origin) + plane.dist();
|
||||
|
||||
if(fabs(distance_origin) < (fabs(aabb.extents[0] * vector3_dot(plane.normal(), vector4_to_vector3(transform.x())))
|
||||
+ fabs(aabb.extents[1] * vector3_dot(plane.normal(), vector4_to_vector3(transform.y())))
|
||||
+ fabs(aabb.extents[2] * vector3_dot(plane.normal(), vector4_to_vector3(transform.z())))))
|
||||
{
|
||||
return 1; // partially inside
|
||||
}
|
||||
else if (distance_origin < 0)
|
||||
{
|
||||
return 2; // totally inside
|
||||
}
|
||||
return 0; // totally outside
|
||||
}
|
||||
|
||||
inline void aabb_corners(const AABB& aabb, Vector3 corners[8])
|
||||
{
|
||||
Vector3 min(vector3_subtracted(aabb.origin, aabb.extents));
|
||||
Vector3 max(vector3_added(aabb.origin, aabb.extents));
|
||||
corners[0] = Vector3(min[0], max[1], max[2]);
|
||||
corners[1] = Vector3(max[0], max[1], max[2]);
|
||||
corners[2] = Vector3(max[0], min[1], max[2]);
|
||||
corners[3] = Vector3(min[0], min[1], max[2]);
|
||||
corners[4] = Vector3(min[0], max[1], min[2]);
|
||||
corners[5] = Vector3(max[0], max[1], min[2]);
|
||||
corners[6] = Vector3(max[0], min[1], min[2]);
|
||||
corners[7] = Vector3(min[0], min[1], min[2]);
|
||||
}
|
||||
|
||||
inline void aabb_planes(const AABB& aabb, Plane3 planes[6])
|
||||
{
|
||||
planes[0] = Plane3(g_vector3_axes[0], aabb.origin[0] + aabb.extents[0]);
|
||||
planes[1] = Plane3(vector3_negated(g_vector3_axes[0]), -(aabb.origin[0] - aabb.extents[0]));
|
||||
planes[2] = Plane3(g_vector3_axes[1], aabb.origin[1] + aabb.extents[1]);
|
||||
planes[3] = Plane3(vector3_negated(g_vector3_axes[1]), -(aabb.origin[1] - aabb.extents[1]));
|
||||
planes[4] = Plane3(g_vector3_axes[2], aabb.origin[2] + aabb.extents[2]);
|
||||
planes[5] = Plane3(vector3_negated(g_vector3_axes[2]), -(aabb.origin[2] - aabb.extents[2]));
|
||||
}
|
||||
|
||||
const Vector3 aabb_normals[6] = {
|
||||
Vector3( 1, 0, 0 ),
|
||||
Vector3( 0, 1, 0 ),
|
||||
Vector3( 0, 0, 1 ),
|
||||
Vector3(-1, 0, 0 ),
|
||||
Vector3( 0,-1, 0 ),
|
||||
Vector3( 0, 0,-1 ),
|
||||
};
|
||||
|
||||
const float aabb_texcoord_topleft[2] = { 0, 0 };
|
||||
const float aabb_texcoord_topright[2] = { 1, 0 };
|
||||
const float aabb_texcoord_botleft[2] = { 0, 1 };
|
||||
const float aabb_texcoord_botright[2] = { 1, 1 };
|
||||
|
||||
|
||||
inline AABB aabb_for_oriented_aabb(const AABB& aabb, const Matrix4& transform)
|
||||
{
|
||||
return AABB(
|
||||
matrix4_transformed_point(transform, aabb.origin),
|
||||
Vector3(
|
||||
static_cast<float>(fabs(transform[0] * aabb.extents[0])
|
||||
+ fabs(transform[4] * aabb.extents[1])
|
||||
+ fabs(transform[8] * aabb.extents[2])),
|
||||
static_cast<float>(fabs(transform[1] * aabb.extents[0])
|
||||
+ fabs(transform[5] * aabb.extents[1])
|
||||
+ fabs(transform[9] * aabb.extents[2])),
|
||||
static_cast<float>(fabs(transform[2] * aabb.extents[0])
|
||||
+ fabs(transform[6] * aabb.extents[1])
|
||||
+ fabs(transform[10] * aabb.extents[2]))
|
||||
)
|
||||
);
|
||||
}
|
||||
|
||||
inline AABB aabb_for_oriented_aabb_safe(const AABB& aabb, const Matrix4& transform)
|
||||
{
|
||||
if(aabb_valid(aabb))
|
||||
{
|
||||
return aabb_for_oriented_aabb(aabb, transform);
|
||||
}
|
||||
return aabb;
|
||||
}
|
||||
|
||||
inline AABB aabb_infinite()
|
||||
{
|
||||
return AABB(Vector3(0, 0, 0), Vector3(c_aabb_max, c_aabb_max, c_aabb_max));
|
||||
}
|
||||
|
||||
#endif
|
||||
Reference in New Issue
Block a user