+++ /dev/null
-/*
-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_corners_oriented(const AABB& aabb, const Matrix4& rotation, Vector3 corners[8])
-{
- Vector3 x = vector4_to_vector3(rotation.x()) * aabb.extents.x();
- Vector3 y = vector4_to_vector3(rotation.y()) * aabb.extents.y();
- Vector3 z = vector4_to_vector3(rotation.z()) * aabb.extents.z();
-
- corners[0] = aabb.origin + -x + y + z;
- corners[1] = aabb.origin + x + y + z;
- corners[2] = aabb.origin + x + -y + z;
- corners[3] = aabb.origin + -x + -y + z;
- corners[4] = aabb.origin + -x + y + -z;
- corners[5] = aabb.origin + x + y + -z;
- corners[6] = aabb.origin + x + -y + -z;
- corners[7] = aabb.origin + -x + -y + -z;
-}
-
-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]));
-}
-
-inline void aabb_planes_oriented(const AABB& aabb, const Matrix4& rotation, Plane3 planes[6])
-{
- double x = vector3_dot(vector4_to_vector3(rotation.x()), aabb.origin);
- double y = vector3_dot(vector4_to_vector3(rotation.y()), aabb.origin);
- double z = vector3_dot(vector4_to_vector3(rotation.z()), aabb.origin);
-
- planes[0] = Plane3(vector4_to_vector3(rotation.x()), x + aabb.extents[0]);
- planes[1] = Plane3(-vector4_to_vector3(rotation.x()), -(x - aabb.extents[0]));
- planes[2] = Plane3(vector4_to_vector3(rotation.y()), y + aabb.extents[1]);
- planes[3] = Plane3(-vector4_to_vector3(rotation.y()), -(y - aabb.extents[1]));
- planes[4] = Plane3(vector4_to_vector3(rotation.z()), z + aabb.extents[2]);
- planes[5] = Plane3(-vector4_to_vector3(rotation.z()), -(z - 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
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